2nthrt (problem 3.4.6)

Time bar (total: 25.2s)

analyze305.0ms (1.2%)

Memory
36.1MiB live, 309.8MiB 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)

sample13.5s (53.3%)

Memory
24.5MiB live, 16 817.8MiB allocated
Samples
8.9s4 922×5exit
1.5s2 809×2valid
877.0ms2 823×1valid
478.0ms2 236×1exit
270.0ms2 624×0valid
190.0ms1 558×0exit
7.0ms5×4exit
5.0ms3×3exit
4.0ms2×2exit
Precisions
Click to see histograms. Total time spent on operations: 11.2s
ival-pow: 9.0s (80.2% of total)
adjust: 1.1s (9.7% of total)
ival-div: 496.0ms (4.4% of total)
ival-sub: 351.0ms (3.1% of total)
ival-add: 247.0ms (2.2% of total)
ival-true: 14.0ms (0.1% of total)
exact: 12.0ms (0.1% of total)
ival-assert: 7.0ms (0.1% of total)
Bogosity

preprocess29.0ms (0.1%)

Memory
19.9MiB live, 58.6MiB 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)))

explain253.0ms (1%)

Memory
-15.3MiB live, 470.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1240-0-(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
3328(6.5780437288546446e-248 3.855210951081965e-108)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)))cancellation1240
pow.f64(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))sensitivity610
Confusion
Predicted +Predicted -
+1400
-4571
Precision
0.7567567567567568
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+14000
-45071
Precision?
0.7567567567567568
Recall?
1.0
Freqs
test
numberfreq
071
1185
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
91.0ms176×2valid
66.0ms244×1valid
8.0ms92×0valid
Compiler

Compiled 102 to 36 computations (64.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 140.0ms
ival-pow: 99.0ms (70.8% of total)
adjust: 19.0ms (13.6% of total)
ival-div: 11.0ms (7.9% of total)
ival-add: 5.0ms (3.6% of total)
ival-sub: 5.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.2%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify12.0ms (0%)

Memory
-24.8MiB live, 16.2MiB 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))

localize90.0ms (0.4%)

Memory
22.5MiB live, 136.6MiB 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))
✓accuracy88.1%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓accuracy56.0%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Samples
41.0ms88×2valid
30.0ms122×1valid
6.0ms46×0valid
Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-pow: 42.0ms (65% of total)
adjust: 10.0ms (15.5% of total)
ival-div: 7.0ms (10.8% of total)
ival-add: 3.0ms (4.6% of total)
ival-sub: 3.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series67.0ms (0.3%)

Memory
-9.1MiB live, 119.3MiB allocated
Counts
5 → 96
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 (+.f64 x #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) n)>
#<alt (pow.f64 x (/.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 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))>
Calls

24 calls:

TimeVariablePointExpression
33.0ms
x
@0
(pow x (/ 1 n))
18.0ms
x
@-inf
(pow x (/ 1 n))
7.0ms
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)))

rewrite404.0ms (1.6%)

Memory
-9.5MiB live, 302.3MiB 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
0831
01331
16331
240731
3433531
0843327
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 321
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))
(/.f64 #s(literal 1 binary64) n)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
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)))))))
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(*.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3/2 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

simplify494.0ms (2%)

Memory
45.2MiB live, 434.6MiB 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
02631714
17611578
221161504
374551498
087361380
Stop Event
1×iter limit
1×node limit
Counts
96 → 94
Calls
Call 1
Inputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
1
(+ 1 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
1
(+ 1 (/ (log x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
1
(+ 1 (/ (log x) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
Outputs
(- 1 (exp (/ (log x) n)))
(-.f64 #s(literal 1 binary64) (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 (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 (/.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 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x 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 #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 (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 #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 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.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))) (neg.f64 (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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (-.f64 (*.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)) (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 #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))) (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 (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 (/.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 1/2 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 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (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 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n))) n) (log1p.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)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(exp (/ (log x) n))
(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 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (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 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (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 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (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 (log.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)) n)) n))

eval87.0ms (0.3%)

Memory
-20.8MiB live, 90.6MiB allocated
Compiler

Compiled 12 122 to 1 428 computations (88.2% saved)

prune67.0ms (0.3%)

Memory
7.0MiB live, 168.0MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New47012482
Fresh000
Picked101
Done000
Total47112483
Accuracy
99.8%
Counts
483 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶14.7%
(fma.f64 x (fma.f64 x (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 (/.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))))
34.6%
(/.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)
29.7%
(/.f64 (fma.f64 (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 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
38.3%
(/.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)
▶54.4%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
▶66.5%
(/.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)
60.1%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
▶19.6%
(-.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)))
16.7%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
30.1%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
56.0%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶36.4%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 634 to 350 computations (44.8% saved)

simplify538.0ms (2.1%)

Memory
-29.4MiB live, 844.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
✓cost-diff0
(fma.f64 x (fma.f64 x (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 (/.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 (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 (/.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 (/.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
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)
✓cost-diff0
(/.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)
✓cost-diff5248
(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))
✓cost-diff6272
(-.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))
Rules
22 894×lower-fma.f32
22 882×lower-fma.f64
3 808×lower-*.f32
3 802×lower-*.f64
3 212×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038408
075396
1157396
2387396
31041393
43715393
57450393
08311387
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.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)
(-.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))
(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))
#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 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(log1p.f64 x)
x
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
n
(-.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 (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 (/.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 (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 (/.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 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (+.f64 (/.f64 #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))
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 (/.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 #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 (-.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)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (log1p.f64 x) n) #s(literal 1 binary64)) (log1p.f64 x) (*.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) n) #s(literal -1 binary64)))) 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) (log1p.f64 x)) (log.f64 x))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (log1p.f64 x) n) #s(literal 1 binary64)) (log1p.f64 x) (*.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) n) #s(literal -1 binary64))))
(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))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (log1p.f64 x) n) #s(literal 1 binary64)) (log1p.f64 x) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n))
#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 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(log1p.f64 x)
x
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
n
(-.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 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) 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)) (/.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 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (/.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 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (/.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 (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 (/.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))))
(fma.f64 x (fma.f64 x (fma.f64 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) (fma.f64 x (/.f64 #s(literal 1/3 binary64) n) (/.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 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
x
(fma.f64 x (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 (/.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 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) (fma.f64 x (/.f64 #s(literal 1/3 binary64) n) (/.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)))
(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 (/.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 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) (fma.f64 x (/.f64 #s(literal 1/3 binary64) 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))
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 (/.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 #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))

localize338.0ms (1.3%)

Memory
28.5MiB live, 698.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy96.2%
(fma.f64 x (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 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))
✓accuracy95.0%
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
✓accuracy83.0%
(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 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
✓accuracy44.8%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy98.7%
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
✓accuracy96.9%
(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))
✓accuracy95.4%
(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))
✓accuracy63.5%
(-.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))
✓accuracy92.5%
(/.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))
✓accuracy44.8%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy99.6%
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
✓accuracy99.2%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓accuracy69.4%
(-.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))
✓accuracy62.4%
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
Samples
102.0ms118×1valid
76.0ms67×2valid
69.0ms71×0valid
Compiler

Compiled 444 to 46 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 200.0ms
ival-pow: 56.0ms (28.1% of total)
adjust: 26.0ms (13% of total)
ival-div: 24.0ms (12% of total)
ival-add: 23.0ms (11.5% of total)
ival-mult: 20.0ms (10% of total)
ival-pow2: 12.0ms (6% of total)
ival-log: 10.0ms (5% of total)
ival-sub: 10.0ms (5% of total)
ival-log1p: 10.0ms (5% of total)
const: 9.0ms (4.5% of total)
exact: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series189.0ms (0.7%)

Memory
2.5MiB live, 234.7MiB allocated
Counts
21 → 420
Calls
Call 1
Inputs
#<alt (-.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))>
#<alt (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))>
#<alt (/.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)>
#<alt (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)>
#<alt (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))>
#<alt (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 (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 (-.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 (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 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))>
#<alt (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 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))>
#<alt (fma.f64 x (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 (/.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 (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 (/.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))))>
#<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 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))>
#<alt (pow.f64 (log.f64 x) #s(literal 2 binary64))>
#<alt (pow.f64 (log1p.f64 x) #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 n n))>
Outputs
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))>
#<alt (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2)))))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2) x))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n)))) 1/4) x)) (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)>
#<alt (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)>
#<alt (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)>
#<alt (- (log (+ 1 x)) (log x))>
#<alt (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))>
#<alt (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))>
#<alt (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))>
#<alt (- (log (+ 1 x)) (log x))>
#<alt (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))>
#<alt (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))>
#<alt (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (+ x (* -1/2 (/ (pow (log x) 2) n)))>
#<alt (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2)))))>
#<alt (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2)))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (log (/ 1 x)) (* n x))) (/ 1 x)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (log (/ 1 x)) (* n x))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (pow x 2))) (/ 1 x)))) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (log (/ 1 x)) (* n x))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (pow x 2))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 3))) (+ (/ 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 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2) x))) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (log (+ 1 x)))) n)>
#<alt (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (log (+ 1 x)))) n)>
#<alt (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (log (+ 1 x)))) n)>
#<alt (log (+ 1 x))>
#<alt (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))>
#<alt (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))>
#<alt (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))>
#<alt (log (+ 1 x))>
#<alt (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))>
#<alt (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))>
#<alt (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))>
#<alt (/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))>
#<alt (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) (* n x)))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) n)) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n 2)))>
#<alt (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))>
#<alt (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))>
#<alt (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)>
#<alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)>
#<alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))>
#<alt (* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))>
#<alt (* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))>
#<alt (* -1 (/ (pow (log x) 2) n))>
#<alt (+ (* -1 (/ (pow (log x) 2) n)) (/ (pow x 2) n))>
#<alt (+ (* -1 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* -1 (/ x n)) (/ 1 n))))>
#<alt (+ (* -1 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* x (- (* 11/12 (/ x n)) (/ 1 n))) (/ 1 n))))>
#<alt (* -2 (/ (log (/ 1 x)) (* n x)))>
#<alt (/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (/ (log (/ 1 x)) (* n x)))) x)>
#<alt (/ (- (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -2/3 (/ (log (/ 1 x)) (* n (pow x 2)))) (+ (/ 1 (* n x)) (/ (log (/ 1 x)) (* n x))))) (/ 1 (* n (pow x 2)))) x)>
#<alt (/ (- (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -2/3 (/ (log (/ 1 x)) (* n (pow x 2)))) (+ (* 1/2 (/ (log (/ 1 x)) (* n (pow x 3)))) (+ (/ 11/12 (* n (pow x 3))) (+ (/ 1 (* n x)) (/ (log (/ 1 x)) (* n x))))))) (/ 1 (* n (pow x 2)))) x)>
#<alt (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n x)))>
#<alt (* -1 (/ (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) x))) x))>
#<alt (* -1 (/ (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (+ (* -1 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) x)) (/ 1 n))) x))) x))>
#<alt (* -1 (/ (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) x)) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) x)) (/ 1 n))) x))) x))>
#<alt (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)>
#<alt (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)>
#<alt (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)>
#<alt (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)>
#<alt (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)>
#<alt (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)>
#<alt (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)>
#<alt (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)>
#<alt (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)>
#<alt (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)>
#<alt (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)>
#<alt (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (* -1 (/ (log x) n))>
#<alt (/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)>
#<alt (/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (* -1/24 (/ (pow (log x) 4) (pow n 3))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (- (* 1/2 (/ (pow (log x) 2) n)) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<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 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))))>
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#<alt (pow (log (/ 1 x)) 2)>
#<alt (+ (* -2 (/ (log (/ 1 x)) x)) (pow (log (/ 1 x)) 2))>
#<alt (+ (* -2 (/ (log (/ 1 x)) x)) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2))))) (/ 1 (pow x 3)))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 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 (/ 1/2 (pow n 2))>
Calls

105 calls:

TimeVariablePointExpression
75.0ms
n
@0
(/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)
44.0ms
x
@inf
(/ (pow x (/ 1 n)) (* x n))
12.0ms
n
@inf
(/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)
6.0ms
n
@0
(- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x))
5.0ms
x
@-inf
(/ (pow x (/ 1 n)) (* x n))

rewrite387.0ms (1.5%)

Memory
0.2MiB live, 634.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 232×lower-*.f32
4 226×lower-*.f64
3 940×lower-fma.f32
3 928×lower-fma.f64
3 506×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038296
075288
1395288
24318288
08982273
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 587
Calls
Call 1
Inputs
(-.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))
(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))
(/.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)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 x (/.f64 #s(literal 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)
(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 (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))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) 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 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(fma.f64 x (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 (/.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 (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 (/.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 (/.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 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
Outputs
(+.f64 (log1p.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (neg.f64 (log.f64 x))))
(+.f64 (log1p.f64 x) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n) (log.f64 x)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) (neg.f64 (log.f64 x)))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(+.f64 (neg.f64 (log.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) (log.f64 x))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(fma.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) #s(literal 2 binary64))))) (neg.f64 (log.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (neg.f64 (log1p.f64 x)))) (neg.f64 (log.f64 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.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)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (neg.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n) (log.f64 x)))
(fma.f64 (pow.f64 (sqrt.f64 (log1p.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (neg.f64 (log.f64 x))))
(fma.f64 (pow.f64 (sqrt.f64 (log1p.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 x)) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n) (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))
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(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))))
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(+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
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(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 (log1p.f64 x) (log1p.f64 x) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(fma.f64 (log.f64 x) (neg.f64 (log.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (log.f64 x)) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))))
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(/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
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(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64))))))
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(*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
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(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
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(*.f64 (log.f64 x) (log.f64 x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 x))) #s(literal 1 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
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(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))
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(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n (neg.f64 n))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1 binary64) n))

simplify387.0ms (1.5%)

Memory
6.4MiB live, 525.6MiB allocated
Algorithm
1×egg-herbie
Rules
8 562×lower-fma.f64
8 562×lower-fma.f32
5 968×lower-+.f64
5 968×lower-+.f32
4 262×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09157759
128707302
082326829
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)
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(* -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))
1
(+ 1 (/ x n))
(+ 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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(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))
(* 1/2 (/ (pow x 2) (pow n 2)))
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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
(+ 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
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(+ 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)))
(/ 1/2 (pow n 2))
(/ (+ 1/2 (* -1/2 n)) (pow n 2))
(/ (+ 1/2 (* -1/2 n)) (pow n 2))
(/ (+ 1/2 (* -1/2 n)) (pow n 2))
(/ -1/2 n)
(/ (- (* 1/2 (/ 1 n)) 1/2) n)
(/ (- (* 1/2 (/ 1 n)) 1/2) n)
(/ (- (* 1/2 (/ 1 n)) 1/2) n)
(/ -1/2 n)
(* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))
(* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))
(* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))
(- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))
(- (+ (* 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)))
(- (+ (* 1/2 (/ 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)))
(- (+ (* 1/2 (/ 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)))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(* 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 (* (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 (/ x (pow n 3)))
(/ (+ (* 1/6 x) (* n (+ 1/2 (* -1/2 x)))) (pow n 3))
(/ (+ (* 1/6 x) (* n (+ 1/2 (+ (* -1/2 x) (* n (- (* 1/3 x) 1/2)))))) (pow n 3))
(/ (+ (* 1/6 x) (* n (+ 1/2 (+ (* -1/2 x) (* n (- (* 1/3 x) 1/2)))))) (pow n 3))
(/ (- (* 1/3 x) 1/2) n)
(/ (- (+ (* -1/2 (/ x n)) (+ (* 1/3 x) (* 1/2 (/ 1 n)))) 1/2) n)
(/ (- (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) 1/2) n)
(/ (- (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) 1/2) n)
(* -1 (/ (+ 1/2 (* -1/3 x)) n))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (* -1/2 x)) n)) (* -1/3 x))) n))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) 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))
(- 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)))
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(* (pow x 3) (- (+ (* 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 3) (- (+ (* 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 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (+ (/ 1 (* n (pow x 2))) (/ 1 (pow x 3)))))) (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1/2 (* n x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (pow x 3))))))
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(* -1 (* (pow x 3) (+ (* -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 (* (pow x 3) (+ (* -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 (* n x))) (* 1/2 (/ 1 n))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* -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))) x)))))
(* 1/6 (/ (pow x 3) (pow n 3)))
(/ (+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x))))) (pow n 3))
(/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3))
(/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (+ (* n (- 1 (exp (/ (log x) n)))) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3))
(/ (- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x)) n)
(/ (- (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (* 1/6 (/ (pow x 3) (pow n 2))) (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/ (- (+ (* -1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow x 3) (pow n 2))) (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(* -1 (/ (- (* x (- (* x (+ 1/2 (* -1/3 x))) 1)) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (/ (- (* (pow x 2) (+ 1/2 (* -1/2 x))) (* 1/2 (pow (log x) 2))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow x 3)) (* -1/6 (pow (log x) 3))) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (pow (log x) 2))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/6 (pow x 3)) (* 1/24 (/ (pow (log x) 4) n))) (* -1/6 (pow (log x) 3))) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (pow (log x) 2))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) (* -1 (log x))) n))
(/ 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 (pow (log x) 2))
(- (pow x 2) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))
(* -2 (/ (log (/ 1 x)) x))
(/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x)
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x)
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x)
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x))
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)))) x))) x))
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 x)))
(* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1))))
(* (pow x 2) (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1))))
(pow (log (/ 1 x)) 2)
(+ (* -2 (/ (log (/ 1 x)) x)) (pow (log (/ 1 x)) 2))
(+ (* -2 (/ (log (/ 1 x)) x)) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2))))
(- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2))))) (/ 1 (pow x 3)))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 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))
(/ 1/2 (pow n 2))
Outputs
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) x) (log.f64 x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (*.f64 x x) x)) (log.f64 x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) (*.f64 x x) x)) (log.f64 x))
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)))) (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal 1/2 binary64) x))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2)))))) (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) x) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) n) (/.f64 #s(literal 11/12 binary64) n)) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) x) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (-.f64 (/.f64 (log.f64 x) n) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))))))) x)
(* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) x))
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(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/6 (pow x 3)) (* 1/24 (/ (pow (log x) 4) n))) (* -1/6 (pow (log x) 3))) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (pow (log x) 2))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) (* -1 (log x))) n))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n)) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (neg.f64 n)) (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))) (neg.f64 n))
(/ 1/6 (pow n 3))
(/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))
(/ (+ 1/6 (* -1/2 n)) (pow n 3))
(/.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))
(/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3))
(/.f64 (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))
(/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3))
(/.f64 (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
(/ (- 1/3 (* 1/2 (/ 1 n))) n)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)
(/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) n)) n)
(/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) n)) n)
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
(* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/3 binary64)) n)
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) (neg.f64 n)) #s(literal -1/3 binary64)) (neg.f64 n))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) (neg.f64 n)) #s(literal -1/3 binary64)) (neg.f64 n))
(* -1 (pow (log x) 2))
(neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(- (pow x 2) (pow (log x) 2))
(-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))
(fma.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 11/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(* -2 (/ (log (/ 1 x)) x))
(/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) x)
(/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x)
(/.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (log.f64 x) x))) x)
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (neg.f64 (/.f64 (log.f64 x) x)) (/.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)) (*.f64 x x)))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x)
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)) (*.f64 x x)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (neg.f64 (/.f64 (log.f64 x) x)) (/.f64 #s(literal 11/12 binary64) (*.f64 x (*.f64 x x)))))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))
(/.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) (neg.f64 x))
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x))
(/.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) x)) x)) (neg.f64 x))
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)))) x))) x))
(/.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (+.f64 (fma.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 11/12 binary64)) (neg.f64 x))) x)) x)) (neg.f64 x))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 x)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))
(* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1))))
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 11/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1))))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/6 binary64) #s(literal 11/12 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(+ (* -2 (/ (log (/ 1 x)) x)) (pow (log (/ 1 x)) 2))
(+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) x))
(+ (* -2 (/ (log (/ 1 x)) x)) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x))) (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) x)))
(- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2))))) (/ 1 (pow x 3)))
(+.f64 (+.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) x))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) x)) x)) x))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))

eval230.0ms (0.9%)

Memory
28.2MiB live, 364.7MiB allocated
Compiler

Compiled 51 835 to 3 700 computations (92.9% saved)

prune444.0ms (1.8%)

Memory
-152.8MiB live, 411.8MiB allocated
Pruning

43 alts after pruning (41 fresh and 2 done)

PrunedKeptTotal
New1 400361 436
Fresh257
Picked325
Done000
Total1 405431 448
Accuracy
100.0%
Counts
1 448 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶7.1%
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (+.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))))
14.7%
(fma.f64 x (fma.f64 x (fma.f64 x (+.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 1/2 binary64) n) #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))))
24.3%
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 n (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
40.6%
(/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) (neg.f64 n))
38.3%
(/.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)
50.9%
(/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n)
34.1%
(/.f64 (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)) (neg.f64 n))
6.1%
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x n) n))) (*.f64 n n))
10.3%
(/.f64 (fma.f64 n (fma.f64 x (fma.f64 (*.f64 x n) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) n) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) (*.f64 n (*.f64 n n)))
✓54.4%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
35.2%
(/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))) n)
55.3%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
41.3%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n)
33.4%
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal 1/2 binary64) x))) x) n)
▶31.3%
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (/.f64 (log.f64 x) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
33.8%
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) (log.f64 x)) n)
45.0%
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)))))
51.1%
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))
27.0%
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) n) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) n) (/.f64 (log.f64 x) n)))
29.8%
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) n) (*.f64 n (log.f64 x))) (*.f64 n n))
▶60.1%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
45.4%
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (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) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64))))) n)
53.2%
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
12.3%
(/.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
9.1%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
50.8%
(/.f64 #s(literal 1 binary64) (/.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
36.5%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
15.0%
(-.f64 (fma.f64 x (fma.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) (*.f64 n n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
24.4%
(-.f64 (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
23.4%
(-.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal 1/2 binary64) (/.f64 x n) #s(literal 1 binary64))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶16.7%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
50.9%
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) n) (/.f64 (log.f64 x) n))
30.1%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
56.0%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓36.4%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶28.9%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
50.8%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n))
53.2%
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))
50.8%
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)))
6.0%
(*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))
6.4%
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)))
14.1%
(*.f64 x (*.f64 x (*.f64 x (+.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)))))
34.3%
(neg.f64 (/.f64 (log.f64 x) n))
Compiler

Compiled 2 634 to 1 253 computations (52.4% saved)

simplify368.0ms (1.5%)

Memory
7.1MiB live, 554.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n))))
✓cost-diff0
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (/.f64 (log.f64 x) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
✓cost-diff384
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (/.f64 (log.f64 x) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))
✓cost-diff640
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (/.f64 (log.f64 x) (*.f64 n n))))
✓cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (+.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))))
✓cost-diff320
(fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64)))
✓cost-diff960
(fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64)))
✓cost-diff1920
(/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))
✓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)) #s(literal 1 binary64))
✓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
12 328×lower-fma.f32
12 314×lower-fma.f64
4 210×lower-*.f32
4 196×lower-*.f64
3 138×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051635
0102591
1206550
2524550
31629530
46304525
08411511
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 (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))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) n)
n
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (+.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))))
x
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (+.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 (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))
(fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64)))
(fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64)))
n
#s(literal -1/2 binary64)
(*.f64 (*.f64 n n) #s(literal 1/3 binary64))
(*.f64 n n)
#s(literal 1/3 binary64)
(*.f64 n (*.f64 n n))
(*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n 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 #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))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (/.f64 (log.f64 x) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (/.f64 (log.f64 x) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (/.f64 (log.f64 x) (*.f64 n n))))
#s(literal 1/2 binary64)
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n))
(-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
(/.f64 (log.f64 x) n)
(log.f64 x)
x
(*.f64 x n)
(/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))
(fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n))
#s(literal 2/3 binary64)
(/.f64 #s(literal -1 binary64) n)
#s(literal -1 binary64)
(*.f64 x (*.f64 x n))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (/.f64 (log.f64 x) (*.f64 n n)))
(+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))))
(/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))
#s(literal 1/3 binary64)
(/.f64 (log.f64 x) (*.f64 n n))
(*.f64 n n)
(/.f64 #s(literal 1/2 binary64) (*.f64 x n))
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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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)) #s(literal -1 binary64))
(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
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (+.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))))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 (/.f64 x (*.f64 n (*.f64 n n))) (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (+.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)))
x
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (+.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 (/.f64 x (*.f64 n (*.f64 n n))) (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (+.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 (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(fma.f64 (/.f64 x (*.f64 n (*.f64 n n))) (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))
(/.f64 (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))
(fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64)))
(*.f64 n (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))))
(fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64)))
(*.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
n
#s(literal -1/2 binary64)
(*.f64 (*.f64 n n) #s(literal 1/3 binary64))
(*.f64 n n)
#s(literal 1/3 binary64)
(*.f64 n (*.f64 n n))
(*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))
(*.f64 n (*.f64 n (*.f64 n (*.f64 n (*.f64 n 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 #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))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (/.f64 (log.f64 x) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (+.f64 (/.f64 (log.f64 x) (*.f64 n n)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x n)) (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (log.f64 x) n) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (*.f64 x n)))))) x)
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (/.f64 (log.f64 x) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (+.f64 (/.f64 (log.f64 x) (*.f64 n n)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x n)) (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (log.f64 x) n) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (*.f64 x n))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (/.f64 (log.f64 x) (*.f64 n n))))
(+.f64 (/.f64 #s(literal 1 binary64) n) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x n)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (/.f64 (fma.f64 (log.f64 x) (/.f64 #s(literal 2/3 binary64) n) (/.f64 #s(literal -1 binary64) n)) x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 (log.f64 x) (*.f64 n n)))))
#s(literal 1/2 binary64)
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n))))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (log.f64 x) (/.f64 #s(literal 2/3 binary64) n) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n))
(-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
(/.f64 (log.f64 x) n)
(log.f64 x)
x
(*.f64 x n)
(/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))
(/.f64 (fma.f64 (log.f64 x) (/.f64 #s(literal 2/3 binary64) n) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))
(fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n))
(fma.f64 (log.f64 x) (/.f64 #s(literal 2/3 binary64) n) (/.f64 #s(literal -1 binary64) n))
#s(literal 2/3 binary64)
(/.f64 #s(literal -1 binary64) n)
#s(literal -1 binary64)
(*.f64 x (*.f64 x n))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (/.f64 (log.f64 x) (*.f64 n n)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) (*.f64 n n))))
(+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))))
(/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))
#s(literal 1/3 binary64)
(/.f64 (log.f64 x) (*.f64 n n))
(*.f64 n n)
(/.f64 #s(literal 1/2 binary64) (*.f64 x n))

localize276.0ms (1.1%)

Memory
20.5MiB live, 503.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x (*.f64 x n))
✓accuracy100.0%
(fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n))
✓accuracy99.7%
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (/.f64 (log.f64 x) (*.f64 n n))))
✓accuracy97.3%
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n))))
✓accuracy100.0%
(*.f64 n (*.f64 n n))
✓accuracy100.0%
(*.f64 (*.f64 n n) #s(literal 1/3 binary64))
✓accuracy98.1%
(fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
✓accuracy96.7%
(/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy98.9%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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)
✓accuracy100.0%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓accuracy99.8%
(-.f64 (log1p.f64 x) (log.f64 x))
Samples
143.0ms245×1exit
5.0ms11×0valid
Compiler

Compiled 671 to 60 computations (91.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 120.0ms
adjust: 34.0ms (28.4% of total)
ival-div: 21.0ms (17.6% of total)
ival-mult: 20.0ms (16.7% of total)
ival-add: 13.0ms (10.9% of total)
const: 11.0ms (9.2% of total)
ival-sub: 7.0ms (5.9% of total)
ival-pow: 7.0ms (5.9% of total)
ival-log: 3.0ms (2.5% of total)
ival-log1p: 3.0ms (2.5% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series72.0ms (0.3%)

Memory
10.3MiB live, 87.9MiB allocated
Counts
22 → 384
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)>
#<alt (-.f64 (log1p.f64 x) (log.f64 x))>
#<alt (log1p.f64 x)>
#<alt (log.f64 x)>
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))>
#<alt (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) n)>
#<alt (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))>
#<alt (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64)))>
#<alt (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64)))>
#<alt (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (+.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))))>
#<alt (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (/.f64 (log.f64 x) (*.f64 n n))))>
#<alt (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (/.f64 (log.f64 x) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))>
#<alt (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (/.f64 (log.f64 x) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)>
#<alt (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n))))>
#<alt (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))>
#<alt (*.f64 (*.f64 n n) #s(literal 1/3 binary64))>
#<alt (*.f64 n (*.f64 n n))>
#<alt (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n))>
#<alt (*.f64 x (*.f64 x n))>
Outputs
#<alt (* -1 (/ (log x) n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (/ 1 (* n x))>
#<alt (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)>
#<alt (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (/ (- (log (+ 1 x)) (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 (* -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))>
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#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log x) (* 1/2 (+ (* -1 (/ (log x) x)) (+ (* -1 (/ (+ 1 (* -2/3 (log x))) (pow x 2))) (/ 1 x))))) n)) (* 1/2 (/ 1 x))) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log x) (* 1/2 (+ (* -1 (/ (log x) x)) (+ (* -1 (/ (+ 1 (* -2/3 (log x))) (pow x 2))) (/ 1 x))))) n)) (* 1/2 (/ 1 x))) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log x) (* 1/2 (+ (* -1 (/ (log x) x)) (+ (* -1 (/ (+ 1 (* -2/3 (log x))) (pow x 2))) (/ 1 x))))) n)) (* 1/2 (/ 1 x))) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n))>
#<alt (/ (+ (* 1/2 (- (* 2/3 (/ (log x) (pow n 2))) (/ 1 (pow n 2)))) (* 1/3 (/ 1 n))) (pow x 2))>
#<alt (/ (+ (* 1/3 (/ 1 n)) (+ (* 1/2 (- (* 2/3 (/ (log x) (pow n 2))) (/ 1 (pow n 2)))) (* x (- (* 1/2 (- (/ 1 (pow n 2)) (/ (log x) (pow n 2)))) (* 1/2 (/ 1 n)))))) (pow x 2))>
#<alt (/ (+ (* 1/3 (/ 1 n)) (+ (* 1/2 (- (* 2/3 (/ (log x) (pow n 2))) (/ 1 (pow n 2)))) (* x (- (+ (* 1/2 (- (/ 1 (pow n 2)) (/ (log x) (pow n 2)))) (* x (+ (/ 1 n) (/ (log x) (pow n 2))))) (* 1/2 (/ 1 n)))))) (pow x 2))>
#<alt (/ (+ (* 1/3 (/ 1 n)) (+ (* 1/2 (- (* 2/3 (/ (log x) (pow n 2))) (/ 1 (pow n 2)))) (* x (- (+ (* 1/2 (- (/ 1 (pow n 2)) (/ (log x) (pow n 2)))) (* x (+ (/ 1 n) (/ (log x) (pow n 2))))) (* 1/2 (/ 1 n)))))) (pow x 2))>
#<alt (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (/ 1 n))>
#<alt (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (- (/ 1 (pow n 2)) (* -1 (/ (log (/ 1 x)) (pow n 2)))) x)) (/ 1 n))) (/ 1/2 (* n x)))>
#<alt (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))) (pow x 2))) (+ (* 1/2 (/ (- (/ 1 (pow n 2)) (* -1 (/ (log (/ 1 x)) (pow n 2)))) x)) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x)))>
#<alt (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))) (pow x 2))) (+ (* 1/2 (/ (- (/ 1 (pow n 2)) (* -1 (/ (log (/ 1 x)) (pow n 2)))) x)) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (/ 1 n) (/ (log -1) (pow n 2))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (* -1 (/ (+ (* -1/2 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) n)) (* 1/2 (/ 1 n))) x)) (+ (/ 1 n) (/ (log -1) (pow n 2)))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ 1 (pow n 2)))) (* 1/3 (/ 1 n))) x)) (+ (* -1/2 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) n)) (* 1/2 (/ 1 n)))) x)) (+ (/ 1 n) (/ (log -1) (pow n 2)))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ 1 (pow n 2)))) (* 1/3 (/ 1 n))) x)) (+ (* -1/2 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) n)) (* 1/2 (/ 1 n)))) x)) (+ (/ 1 n) (/ (log -1) (pow n 2)))))>
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#<alt (/ (+ (* 1/2 (/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) x)) (+ (* n (- (+ (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ (log x) x))) (pow n 2))>
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#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ (* 1/2 (/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) (* n x))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (/ (log x) (* n x))))) (/ 1/2 (pow x 2))) n)>
#<alt (/ (- (+ (* 1/2 (/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) (* n x))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (/ (log x) (* n x))))) (/ 1/2 (pow x 2))) n)>
#<alt (/ (- (+ (* 1/2 (/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) (* n x))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (/ (log x) (* n x))))) (/ 1/2 (pow x 2))) n)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) (+ 1 (* 1/3 (/ 1 (pow x 2))))) (* n x)))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (+ (* -1 (/ (log x) x)) (+ (* -1 (/ (+ 1 (* -2/3 (log x))) (pow x 2))) (/ 1 x))) x)) (/ (log x) x)) n)) (/ 1/2 (pow x 2))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (+ (* -1 (/ (log x) x)) (+ (* -1 (/ (+ 1 (* -2/3 (log x))) (pow x 2))) (/ 1 x))) x)) (/ (log x) x)) n)) (/ 1/2 (pow x 2))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (+ (* -1 (/ (log x) x)) (+ (* -1 (/ (+ 1 (* -2/3 (log x))) (pow x 2))) (/ 1 x))) x)) (/ (log x) x)) n)) (/ 1/2 (pow x 2))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) n))>
#<alt (/ (+ (* 1/2 (- (* 2/3 (/ (log x) (pow n 2))) (/ 1 (pow n 2)))) (* 1/3 (/ 1 n))) (pow x 3))>
#<alt (/ (+ (* 1/3 (/ 1 n)) (+ (* 1/2 (- (* 2/3 (/ (log x) (pow n 2))) (/ 1 (pow n 2)))) (* x (- (* 1/2 (- (/ 1 (pow n 2)) (/ (log x) (pow n 2)))) (* 1/2 (/ 1 n)))))) (pow x 3))>
#<alt (/ (+ (* 1/3 (/ 1 n)) (+ (* 1/2 (- (* 2/3 (/ (log x) (pow n 2))) (/ 1 (pow n 2)))) (* x (- (+ (* 1/2 (- (/ 1 (pow n 2)) (/ (log x) (pow n 2)))) (* x (+ (/ 1 n) (/ (log x) (pow n 2))))) (* 1/2 (/ 1 n)))))) (pow x 3))>
#<alt (/ (+ (* 1/3 (/ 1 n)) (+ (* 1/2 (- (* 2/3 (/ (log x) (pow n 2))) (/ 1 (pow n 2)))) (* x (- (+ (* 1/2 (- (/ 1 (pow n 2)) (/ (log x) (pow n 2)))) (* x (+ (/ 1 n) (/ (log x) (pow n 2))))) (* 1/2 (/ 1 n)))))) (pow x 3))>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (/ 1 n)) x)>
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#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))) (pow x 2))) (+ (* 1/2 (/ (- (/ 1 (pow n 2)) (* -1 (/ (log (/ 1 x)) (pow n 2)))) x)) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))) (pow x 2))) (+ (* 1/2 (/ (- (/ 1 (pow n 2)) (* -1 (/ (log (/ 1 x)) (pow n 2)))) x)) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)>
#<alt (/ (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (/ 1 n) (/ (log -1) (pow n 2)))) x)>
#<alt (* -1 (/ (+ (* -1 (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (/ 1 n) (/ (log -1) (pow n 2))))) (+ (* -1/2 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) (* n x))) (/ 1/2 (* n x)))) x))>
#<alt (* -1 (/ (+ (* -1 (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (/ 1 n) (/ (log -1) (pow n 2))))) (* -1 (/ (+ (* -1 (+ (* -1/2 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) n)) (* 1/2 (/ 1 n)))) (+ (* 1/2 (/ (- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ 1 (pow n 2))) x)) (/ 1/3 (* n x)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (/ 1 n) (/ (log -1) (pow n 2))))) (* -1 (/ (+ (* -1 (+ (* -1/2 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) n)) (* 1/2 (/ 1 n)))) (+ (* 1/2 (/ (- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ 1 (pow n 2))) x)) (/ 1/3 (* n x)))) x))) x))>
#<alt (/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) (pow n 2))>
#<alt (/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) (pow n 2))>
#<alt (/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) (pow n 2))>
#<alt (/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) (pow n 2))>
#<alt (/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) (pow n 2))>
#<alt (/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) (pow n 2))>
#<alt (/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) (pow n 2))>
#<alt (/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) (pow n 2))>
#<alt (/ (+ (* -1 (/ (log x) x)) (+ (* -1 (/ (+ 1 (* -2/3 (log x))) (pow x 2))) (/ 1 x))) (pow n 2))>
#<alt (/ (+ (* -1 (/ (log x) x)) (+ (* -1 (/ (+ 1 (* -2/3 (log x))) (pow x 2))) (/ 1 x))) (pow n 2))>
#<alt (/ (+ (* -1 (/ (log x) x)) (+ (* -1 (/ (+ 1 (* -2/3 (log x))) (pow x 2))) (/ 1 x))) (pow n 2))>
#<alt (/ (+ (* -1 (/ (log x) x)) (+ (* -1 (/ (+ 1 (* -2/3 (log x))) (pow x 2))) (/ 1 x))) (pow n 2))>
#<alt (/ (- (* 2/3 (/ (log x) (pow n 2))) (/ 1 (pow n 2))) (pow x 2))>
#<alt (/ (- (+ (* 2/3 (/ (log x) (pow n 2))) (* x (- (/ 1 (pow n 2)) (/ (log x) (pow n 2))))) (/ 1 (pow n 2))) (pow x 2))>
#<alt (/ (- (+ (* 2/3 (/ (log x) (pow n 2))) (* x (- (/ 1 (pow n 2)) (/ (log x) (pow n 2))))) (/ 1 (pow n 2))) (pow x 2))>
#<alt (/ (- (+ (* 2/3 (/ (log x) (pow n 2))) (* x (- (/ 1 (pow n 2)) (/ (log x) (pow n 2))))) (/ 1 (pow n 2))) (pow x 2))>
#<alt (/ (- (/ 1 (pow n 2)) (* -1 (/ (log (/ 1 x)) (pow n 2)))) x)>
#<alt (/ (- (+ (* -2/3 (/ (log (/ 1 x)) (* (pow n 2) x))) (/ 1 (pow n 2))) (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (* (pow n 2) x)))) x)>
#<alt (/ (- (+ (* -2/3 (/ (log (/ 1 x)) (* (pow n 2) x))) (/ 1 (pow n 2))) (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (* (pow n 2) x)))) x)>
#<alt (/ (- (+ (* -2/3 (/ (log (/ 1 x)) (* (pow n 2) x))) (/ 1 (pow n 2))) (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (* (pow n 2) x)))) x)>
#<alt (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) (* n x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ 1 (pow n 2))) x)) (* -1 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) n))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ 1 (pow n 2))) x)) (* -1 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) n))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ 1 (pow n 2))) x)) (* -1 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) n))) x))>
#<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 (pow n 3)) (* (pow n 3) (+ (* -1/2 n) (* 1/3 (pow n 2)))))) (pow n 6))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/6 (pow n 3)) (* (pow n 3) (+ (* -1/2 n) (* 1/3 (pow n 2))))) (pow n 6))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/6 (pow n 3)) (* (pow n 3) (+ (* -1/2 n) (* 1/3 (pow n 2))))) (pow n 6))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/6 (pow n 3)) (* (pow n 3) (+ (* -1/2 n) (* 1/3 (pow n 2))))) (pow n 6))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))>
#<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)>
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#<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 (* 1/3 (pow n 2))>
#<alt (* 1/3 (pow n 2))>
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#<alt (* 1/3 (pow n 2))>
#<alt (* 1/3 (pow n 2))>
#<alt (pow n 3)>
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#<alt (pow n 3)>
#<alt (pow n 3)>
#<alt (pow n 3)>
#<alt (pow n 3)>
#<alt (pow n 3)>
#<alt (pow n 3)>
#<alt (pow n 3)>
#<alt (pow n 3)>
#<alt (- (* 2/3 (/ (log x) n)) (/ 1 n))>
#<alt (- (* 2/3 (/ (log x) n)) (/ 1 n))>
#<alt (- (* 2/3 (/ (log x) n)) (/ 1 n))>
#<alt (- (* 2/3 (/ (log x) n)) (/ 1 n))>
#<alt (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))>
#<alt (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))>
#<alt (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))>
#<alt (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))>
#<alt (- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))>
#<alt (- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))>
#<alt (- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))>
#<alt (- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))>
#<alt (/ (- (* 2/3 (log x)) 1) n)>
#<alt (/ (- (* 2/3 (log x)) 1) n)>
#<alt (/ (- (* 2/3 (log x)) 1) n)>
#<alt (/ (- (* 2/3 (log x)) 1) n)>
#<alt (/ (- (* 2/3 (log x)) 1) n)>
#<alt (/ (- (* 2/3 (log x)) 1) n)>
#<alt (/ (- (* 2/3 (log x)) 1) n)>
#<alt (/ (- (* 2/3 (log x)) 1) n)>
#<alt (* -1 (/ (+ 1 (* -2/3 (log x))) n))>
#<alt (* -1 (/ (+ 1 (* -2/3 (log x))) n))>
#<alt (* -1 (/ (+ 1 (* -2/3 (log x))) n))>
#<alt (* -1 (/ (+ 1 (* -2/3 (log x))) n))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
Calls

96 calls:

TimeVariablePointExpression
16.0ms
n
@0
(+ (* 1/2 (+ (/ (- (/ 1 n) (/ (log x) n)) (* x n)) (/ (+ (* (/ (log x) n) 2/3) (/ -1 n)) (* x (* x n))))) (+ (+ (/ 1 n) (/ 1/3 (* x (* x n)))) (/ (log x) (* n n))))
14.0ms
n
@inf
(+ (/ (- (/ 1 n) (/ (log x) n)) (* x n)) (/ (+ (* (/ (log x) n) 2/3) (/ -1 n)) (* x (* x n))))
2.0ms
n
@inf
(+ (* 1/2 (+ (/ (- (/ 1 n) (/ (log x) n)) (* x n)) (/ (+ (* (/ (log x) n) 2/3) (/ -1 n)) (* x (* x n))))) (+ (+ (/ 1 n) (/ 1/3 (* x (* x n)))) (/ (log x) (* n n))))
2.0ms
n
@-inf
(+ (* 1/2 (+ (/ (- (/ 1 n) (/ (log x) n)) (* x n)) (/ (+ (* (/ (log x) n) 2/3) (/ -1 n)) (* x (* x n))))) (+ (+ (/ 1 n) (/ 1/3 (* x (* x n)))) (/ (log x) (* n n))))
2.0ms
x
@inf
(log (+ 1 x))

rewrite343.0ms (1.4%)

Memory
-2.8MiB live, 474.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 564×lower-*.f32
4 550×lower-*.f64
3 576×lower-fma.f32
3 562×lower-fma.f64
3 322×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051413
0102369
1519342
26194342
08060326
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 574
Calls
Call 1
Inputs
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
(log.f64 x)
(-.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))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) n)
(/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))
(fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64)))
(fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (+.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))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (/.f64 (log.f64 x) (*.f64 n n))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (/.f64 (log.f64 x) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (/.f64 (log.f64 x) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n))))
(fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (*.f64 n n) #s(literal 1/3 binary64))
(*.f64 n (*.f64 n n))
(fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n))
(*.f64 x (*.f64 x n))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (log1p.f64 x) n) (neg.f64 (/.f64 (log.f64 x) n)))
(-.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 (/.f64 #s(literal 1 binary64) n) (log1p.f64 x) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (exp.f64 (log1p.f64 x))) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (log1p.f64 x) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (log1p.f64 x) (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)))
(neg.f64 (/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) 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 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (neg.f64 n))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (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 (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 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 (log.f64 x) n)) (*.f64 n n))
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (/.f64 (*.f64 n n) (log.f64 x)))
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (neg.f64 n)) (*.f64 n (neg.f64 (log.f64 x)))) (neg.f64 (*.f64 n n)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (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 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #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))) (neg.f64 n)))
(/.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 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
(/.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 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 n)))
(/.f64 (neg.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (neg.f64 (neg.f64 n)))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (fma.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log1p.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)))))
(/.f64 (-.f64 (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log1p.f64 x) n)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) n)
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (neg.f64 n))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (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 (*.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)))
(pow.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(*.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal -1 binary64) n))
(*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(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 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(-.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 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (-.f64 (*.f64 x x) x)))
(-.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)))
(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 (-.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 (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 (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 (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 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #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))))
(log.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (+.f64 x #s(literal -1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(log1p.f64 x)
(log.f64 x)
(+.f64 (log.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 x))
#s(literal 0 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) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
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(pow.f64 (/.f64 (fma.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 #s(literal -1/2 binary64) n)) (/.f64 (*.f64 x (*.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n)))))) (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))))) (*.f64 (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n)))) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n))))))) (fma.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 #s(literal -1/2 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (pow.f64 (/.f64 (*.f64 x (*.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n))))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))))) (*.f64 (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n)))) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))) #s(literal -1 binary64))
(*.f64 (fma.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 #s(literal -1/2 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (pow.f64 (/.f64 (*.f64 x (*.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.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 #s(literal -1/2 binary64) n)) (/.f64 (*.f64 x (*.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n)))))) (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))))) (*.f64 (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n)))) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n)))))))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))))) (*.f64 (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n)))) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(*.f64 n (*.f64 n #s(literal 1/3 binary64)))
(*.f64 (*.f64 n n) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 n n))
(*.f64 (*.f64 n #s(literal 1/3 binary64)) n)
(exp.f64 (*.f64 (log.f64 n) #s(literal 3 binary64)))
(pow.f64 n #s(literal 3 binary64))
(*.f64 n (*.f64 n n))
(*.f64 (*.f64 n n) n)
(*.f64 (pow.f64 n #s(literal 3/2 binary64)) (pow.f64 n #s(literal 3/2 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) n))
(+.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) n) (/.f64 #s(literal -1 binary64) n))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (/.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) #s(literal -1 binary64)) n)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (/.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) #s(literal -1 binary64)) n)))
(fma.f64 (log.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2/3 binary64)) (/.f64 #s(literal -1 binary64) n))
(fma.f64 (log.f64 x) (/.f64 #s(literal 2/3 binary64) n) (/.f64 #s(literal -1 binary64) n))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n) (/.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) n))
(fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) n))
(fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n))
(fma.f64 #s(literal 2/3 binary64) (/.f64 (log.f64 x) n) (/.f64 #s(literal -1 binary64) n))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) n))
(fma.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 4/9 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (/.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) #s(literal -1 binary64)) (*.f64 n n))) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 8/27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 n (*.f64 n n))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) #s(literal -1 binary64)) n) (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 n n)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 8/27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 n (*.f64 n n)))) (-.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 4/9 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (/.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) #s(literal -1 binary64)) (*.f64 n n))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 8/27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (/.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) #s(literal -1 binary64)) (*.f64 n n)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (/.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) #s(literal -1 binary64)) n))
(/.f64 (+.f64 n (*.f64 (neg.f64 n) (*.f64 (log.f64 x) #s(literal 2/3 binary64)))) (neg.f64 (*.f64 n n)))
(/.f64 (+.f64 n (*.f64 (*.f64 n #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal 2/3 binary64)))) (*.f64 (*.f64 n #s(literal -1 binary64)) n))
(/.f64 (+.f64 (neg.f64 n) (*.f64 n (*.f64 (log.f64 x) #s(literal 2/3 binary64)))) (*.f64 n n))
(/.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) (neg.f64 n) n) (neg.f64 (*.f64 n n)))
(/.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) (*.f64 n #s(literal -1 binary64)) n) (*.f64 n (*.f64 n #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) n (*.f64 n #s(literal -1 binary64))) (*.f64 n n))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 8/27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 n (*.f64 n n))))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 4/9 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (/.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) #s(literal -1 binary64)) (*.f64 n n)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 n n)))) (neg.f64 (/.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) #s(literal -1 binary64)) n)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 4/9 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) n)))
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 4/9 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (/.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) #s(literal -1 binary64)) (*.f64 n n))) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 8/27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 n (*.f64 n n))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) #s(literal -1 binary64)) n) (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 n n)))) #s(literal -1 binary64))
(*.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 8/27 binary64) (/.f64 #s(literal -1 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 4/9 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (/.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) #s(literal -1 binary64)) (*.f64 n n)))))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2/3 binary64)) #s(literal -1 binary64)) n)))
(*.f64 x (*.f64 x n))
(*.f64 n (*.f64 x x))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x n)))
(*.f64 (*.f64 x n) x)
(*.f64 (*.f64 x (*.f64 x n)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) n)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x n)) x)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) n)

simplify377.0ms (1.5%)

Memory
0.3MiB live, 540.7MiB allocated
Algorithm
1×egg-herbie
Rules
7 132×lower-fma.f64
7 132×lower-fma.f32
4 836×lower-+.f64
4 836×lower-+.f32
3 814×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07577962
123207548
269297302
080676827
Stop Event
1×iter limit
1×node limit
Counts
384 → 381
Calls
Call 1
Inputs
(* -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)
(* -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
(* 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))))
(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 n)
(* x (+ (* x (- (* 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))) (* 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)
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(/ (+ (* 1/2 (/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) x)) (+ (* n (- (+ (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ (log x) x))) (pow n 2))
(/ (+ (* 1/2 (/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) x)) (+ (* n (- (+ (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ (log x) x))) (pow n 2))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(/ (- (+ (* 1/2 (/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) (* n x))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (/ (log x) (* n x))))) (/ 1/2 (pow x 2))) n)
(/ (- (+ (* 1/2 (/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) (* n x))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (/ (log x) (* n x))))) (/ 1/2 (pow x 2))) n)
(/ (- (+ (* 1/2 (/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) (* n x))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (/ (log x) (* n x))))) (/ 1/2 (pow x 2))) n)
(* -1 (/ (- (* 1/2 (/ 1 x)) (+ 1 (* 1/3 (/ 1 (pow x 2))))) (* n x)))
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (+ (* -1 (/ (log x) x)) (+ (* -1 (/ (+ 1 (* -2/3 (log x))) (pow x 2))) (/ 1 x))) x)) (/ (log x) x)) n)) (/ 1/2 (pow x 2))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (+ (* -1 (/ (log x) x)) (+ (* -1 (/ (+ 1 (* -2/3 (log x))) (pow x 2))) (/ 1 x))) x)) (/ (log x) x)) n)) (/ 1/2 (pow x 2))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (+ (* -1 (/ (log x) x)) (+ (* -1 (/ (+ 1 (* -2/3 (log x))) (pow x 2))) (/ 1 x))) x)) (/ (log x) x)) n)) (/ 1/2 (pow x 2))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) n))
(/ (+ (* 1/2 (- (* 2/3 (/ (log x) (pow n 2))) (/ 1 (pow n 2)))) (* 1/3 (/ 1 n))) (pow x 3))
(/ (+ (* 1/3 (/ 1 n)) (+ (* 1/2 (- (* 2/3 (/ (log x) (pow n 2))) (/ 1 (pow n 2)))) (* x (- (* 1/2 (- (/ 1 (pow n 2)) (/ (log x) (pow n 2)))) (* 1/2 (/ 1 n)))))) (pow x 3))
(/ (+ (* 1/3 (/ 1 n)) (+ (* 1/2 (- (* 2/3 (/ (log x) (pow n 2))) (/ 1 (pow n 2)))) (* x (- (+ (* 1/2 (- (/ 1 (pow n 2)) (/ (log x) (pow n 2)))) (* x (+ (/ 1 n) (/ (log x) (pow n 2))))) (* 1/2 (/ 1 n)))))) (pow x 3))
(/ (+ (* 1/3 (/ 1 n)) (+ (* 1/2 (- (* 2/3 (/ (log x) (pow n 2))) (/ 1 (pow n 2)))) (* x (- (+ (* 1/2 (- (/ 1 (pow n 2)) (/ (log x) (pow n 2)))) (* x (+ (/ 1 n) (/ (log x) (pow n 2))))) (* 1/2 (/ 1 n)))))) (pow x 3))
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (/ 1 n)) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (- (/ 1 (pow n 2)) (* -1 (/ (log (/ 1 x)) (pow n 2)))) x)) (/ 1 n))) (/ 1/2 (* n x))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))) (pow x 2))) (+ (* 1/2 (/ (- (/ 1 (pow n 2)) (* -1 (/ (log (/ 1 x)) (pow n 2)))) x)) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))) (pow x 2))) (+ (* 1/2 (/ (- (/ 1 (pow n 2)) (* -1 (/ (log (/ 1 x)) (pow n 2)))) x)) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)
(/ (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (/ 1 n) (/ (log -1) (pow n 2)))) x)
(* -1 (/ (+ (* -1 (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (/ 1 n) (/ (log -1) (pow n 2))))) (+ (* -1/2 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) (* n x))) (/ 1/2 (* n x)))) x))
(* -1 (/ (+ (* -1 (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (/ 1 n) (/ (log -1) (pow n 2))))) (* -1 (/ (+ (* -1 (+ (* -1/2 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) n)) (* 1/2 (/ 1 n)))) (+ (* 1/2 (/ (- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ 1 (pow n 2))) x)) (/ 1/3 (* n x)))) x))) x))
(* -1 (/ (+ (* -1 (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (/ 1 n) (/ (log -1) (pow n 2))))) (* -1 (/ (+ (* -1 (+ (* -1/2 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) n)) (* 1/2 (/ 1 n)))) (+ (* 1/2 (/ (- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ 1 (pow n 2))) x)) (/ 1/3 (* n x)))) x))) x))
(/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) (pow n 2))
(/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) (pow n 2))
(/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) (pow n 2))
(/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) (pow n 2))
(/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) (pow n 2))
(/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) (pow n 2))
(/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) (pow n 2))
(/ (- (+ (* 2/3 (/ (log x) (pow x 2))) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ (log x) x))) (pow n 2))
(/ (+ (* -1 (/ (log x) x)) (+ (* -1 (/ (+ 1 (* -2/3 (log x))) (pow x 2))) (/ 1 x))) (pow n 2))
(/ (+ (* -1 (/ (log x) x)) (+ (* -1 (/ (+ 1 (* -2/3 (log x))) (pow x 2))) (/ 1 x))) (pow n 2))
(/ (+ (* -1 (/ (log x) x)) (+ (* -1 (/ (+ 1 (* -2/3 (log x))) (pow x 2))) (/ 1 x))) (pow n 2))
(/ (+ (* -1 (/ (log x) x)) (+ (* -1 (/ (+ 1 (* -2/3 (log x))) (pow x 2))) (/ 1 x))) (pow n 2))
(/ (- (* 2/3 (/ (log x) (pow n 2))) (/ 1 (pow n 2))) (pow x 2))
(/ (- (+ (* 2/3 (/ (log x) (pow n 2))) (* x (- (/ 1 (pow n 2)) (/ (log x) (pow n 2))))) (/ 1 (pow n 2))) (pow x 2))
(/ (- (+ (* 2/3 (/ (log x) (pow n 2))) (* x (- (/ 1 (pow n 2)) (/ (log x) (pow n 2))))) (/ 1 (pow n 2))) (pow x 2))
(/ (- (+ (* 2/3 (/ (log x) (pow n 2))) (* x (- (/ 1 (pow n 2)) (/ (log x) (pow n 2))))) (/ 1 (pow n 2))) (pow x 2))
(/ (- (/ 1 (pow n 2)) (* -1 (/ (log (/ 1 x)) (pow n 2)))) x)
(/ (- (+ (* -2/3 (/ (log (/ 1 x)) (* (pow n 2) x))) (/ 1 (pow n 2))) (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (* (pow n 2) x)))) x)
(/ (- (+ (* -2/3 (/ (log (/ 1 x)) (* (pow n 2) x))) (/ 1 (pow n 2))) (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (* (pow n 2) x)))) x)
(/ (- (+ (* -2/3 (/ (log (/ 1 x)) (* (pow n 2) x))) (/ 1 (pow n 2))) (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (* (pow n 2) x)))) x)
(/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) (* n x))
(* -1 (/ (+ (* -1 (/ (- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ 1 (pow n 2))) x)) (* -1 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) n))) x))
(* -1 (/ (+ (* -1 (/ (- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ 1 (pow n 2))) x)) (* -1 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) n))) x))
(* -1 (/ (+ (* -1 (/ (- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ 1 (pow n 2))) x)) (* -1 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) n))) x))
(- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))
(- (+ (* 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)))
(- (+ (* 1/2 (/ 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)))
(- (+ (* 1/2 (/ 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)))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(* 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 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(/ (* x (+ (* 1/6 (pow n 3)) (* (pow n 3) (+ (* -1/2 n) (* 1/3 (pow n 2)))))) (pow n 6))
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 (pow n 3)) (* (pow n 3) (+ (* -1/2 n) (* 1/3 (pow n 2))))) (pow n 6))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 (pow n 3)) (* (pow n 3) (+ (* -1/2 n) (* 1/3 (pow n 2))))) (pow n 6))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 (pow n 3)) (* (pow n 3) (+ (* -1/2 n) (* 1/3 (pow n 2))))) (pow n 6))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))
(* 1/6 (/ x (pow n 3)))
(/ (+ (* 1/6 x) (* n (+ 1/2 (* -1/2 x)))) (pow n 3))
(/ (+ (* 1/6 x) (* n (+ 1/2 (+ (* -1/2 x) (* n (- (* 1/3 x) 1/2)))))) (pow n 3))
(/ (+ (* 1/6 x) (* n (+ 1/2 (+ (* -1/2 x) (* n (- (* 1/3 x) 1/2)))))) (pow n 3))
(/ (- (* 1/3 x) 1/2) n)
(/ (- (+ (* -1/2 (/ x n)) (+ (* 1/3 x) (* 1/2 (/ 1 n)))) 1/2) n)
(/ (- (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) 1/2) n)
(/ (- (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) 1/2) n)
(* -1 (/ (+ 1/2 (* -1/3 x)) n))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (* -1/2 x)) n)) (* -1/3 x))) n))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n))
(* 1/3 (pow n 2))
(* 1/3 (pow n 2))
(* 1/3 (pow n 2))
(* 1/3 (pow n 2))
(* 1/3 (pow n 2))
(* 1/3 (pow n 2))
(* 1/3 (pow n 2))
(* 1/3 (pow n 2))
(* 1/3 (pow n 2))
(* 1/3 (pow n 2))
(* 1/3 (pow n 2))
(* 1/3 (pow n 2))
(pow n 3)
(pow n 3)
(pow n 3)
(pow n 3)
(pow n 3)
(pow n 3)
(pow n 3)
(pow n 3)
(pow n 3)
(pow n 3)
(pow n 3)
(pow n 3)
(- (* 2/3 (/ (log x) n)) (/ 1 n))
(- (* 2/3 (/ (log x) n)) (/ 1 n))
(- (* 2/3 (/ (log x) n)) (/ 1 n))
(- (* 2/3 (/ (log x) n)) (/ 1 n))
(- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))
(- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))
(- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))
(- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))
(- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))
(- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))
(- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))
(- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))
(/ (- (* 2/3 (log x)) 1) n)
(/ (- (* 2/3 (log x)) 1) n)
(/ (- (* 2/3 (log x)) 1) n)
(/ (- (* 2/3 (log x)) 1) n)
(/ (- (* 2/3 (log x)) 1) n)
(/ (- (* 2/3 (log x)) 1) n)
(/ (- (* 2/3 (log x)) 1) n)
(/ (- (* 2/3 (log x)) 1) n)
(* -1 (/ (+ 1 (* -2/3 (log x))) n))
(* -1 (/ (+ 1 (* -2/3 (log x))) n))
(* -1 (/ (+ 1 (* -2/3 (log x))) n))
(* -1 (/ (+ 1 (* -2/3 (log x))) n))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
Outputs
(* -1 (/ (log x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x n) x) (/.f64 x n)) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(-.f64 (fma.f64 x (/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) n) (/.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)
(-.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 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x 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 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x n))))) (/.f64 #s(literal -1/2 binary64) (*.f64 x 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 #s(literal 1/2 binary64) x)) (*.f64 x n)))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal 1/3 binary64) (*.f64 x n)))) x)) (neg.f64 x))
(/ (- (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)
(/ (- (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)
(/ (- (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)
(/ (- (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)
(/ (- (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)
(/ (- (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)
(* -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 (*.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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (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))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
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(* -1 (/ (+ 1/2 (* -1/3 x)) n))
(neg.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) n))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (* -1/2 x)) n)) (* -1/3 x))) n))
(/.f64 (-.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)) (neg.f64 n))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n))
(/.f64 (-.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64))) n)) (neg.f64 n))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n))
(/.f64 (-.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 x (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64))) n)) (neg.f64 n))
(* 1/3 (pow n 2))
(*.f64 n (*.f64 n #s(literal 1/3 binary64)))
(* 1/3 (pow n 2))
(*.f64 n (*.f64 n #s(literal 1/3 binary64)))
(* 1/3 (pow n 2))
(*.f64 n (*.f64 n #s(literal 1/3 binary64)))
(* 1/3 (pow n 2))
(*.f64 n (*.f64 n #s(literal 1/3 binary64)))
(* 1/3 (pow n 2))
(*.f64 n (*.f64 n #s(literal 1/3 binary64)))
(* 1/3 (pow n 2))
(*.f64 n (*.f64 n #s(literal 1/3 binary64)))
(* 1/3 (pow n 2))
(*.f64 n (*.f64 n #s(literal 1/3 binary64)))
(* 1/3 (pow n 2))
(*.f64 n (*.f64 n #s(literal 1/3 binary64)))
(* 1/3 (pow n 2))
(*.f64 n (*.f64 n #s(literal 1/3 binary64)))
(* 1/3 (pow n 2))
(*.f64 n (*.f64 n #s(literal 1/3 binary64)))
(* 1/3 (pow n 2))
(*.f64 n (*.f64 n #s(literal 1/3 binary64)))
(* 1/3 (pow n 2))
(*.f64 n (*.f64 n #s(literal 1/3 binary64)))
(pow n 3)
(*.f64 n (*.f64 n n))
(pow n 3)
(*.f64 n (*.f64 n n))
(pow n 3)
(*.f64 n (*.f64 n n))
(pow n 3)
(*.f64 n (*.f64 n n))
(pow n 3)
(*.f64 n (*.f64 n n))
(pow n 3)
(*.f64 n (*.f64 n n))
(pow n 3)
(*.f64 n (*.f64 n n))
(pow n 3)
(*.f64 n (*.f64 n n))
(pow n 3)
(*.f64 n (*.f64 n n))
(pow n 3)
(*.f64 n (*.f64 n n))
(pow n 3)
(*.f64 n (*.f64 n n))
(pow n 3)
(*.f64 n (*.f64 n n))
(- (* 2/3 (/ (log x) n)) (/ 1 n))
(/.f64 (fma.f64 (log.f64 x) #s(literal 2/3 binary64) #s(literal -1 binary64)) n)
(- (* 2/3 (/ (log x) n)) (/ 1 n))
(/.f64 (fma.f64 (log.f64 x) #s(literal 2/3 binary64) #s(literal -1 binary64)) n)
(- (* 2/3 (/ (log x) n)) (/ 1 n))
(/.f64 (fma.f64 (log.f64 x) #s(literal 2/3 binary64) #s(literal -1 binary64)) n)
(- (* 2/3 (/ (log x) n)) (/ 1 n))
(/.f64 (fma.f64 (log.f64 x) #s(literal 2/3 binary64) #s(literal -1 binary64)) n)
(- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))
(/.f64 (fma.f64 (log.f64 x) #s(literal 2/3 binary64) #s(literal -1 binary64)) n)
(- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))
(/.f64 (fma.f64 (log.f64 x) #s(literal 2/3 binary64) #s(literal -1 binary64)) n)
(- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))
(/.f64 (fma.f64 (log.f64 x) #s(literal 2/3 binary64) #s(literal -1 binary64)) n)
(- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))
(/.f64 (fma.f64 (log.f64 x) #s(literal 2/3 binary64) #s(literal -1 binary64)) n)
(- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))
(fma.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) (/.f64 #s(literal -1 binary64) n))
(- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))
(fma.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) (/.f64 #s(literal -1 binary64) n))
(- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))
(fma.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) (/.f64 #s(literal -1 binary64) n))
(- (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))
(fma.f64 #s(literal 2/3 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) (/.f64 #s(literal -1 binary64) n))
(/ (- (* 2/3 (log x)) 1) n)
(/.f64 (fma.f64 (log.f64 x) #s(literal 2/3 binary64) #s(literal -1 binary64)) n)
(/ (- (* 2/3 (log x)) 1) n)
(/.f64 (fma.f64 (log.f64 x) #s(literal 2/3 binary64) #s(literal -1 binary64)) n)
(/ (- (* 2/3 (log x)) 1) n)
(/.f64 (fma.f64 (log.f64 x) #s(literal 2/3 binary64) #s(literal -1 binary64)) n)
(/ (- (* 2/3 (log x)) 1) n)
(/.f64 (fma.f64 (log.f64 x) #s(literal 2/3 binary64) #s(literal -1 binary64)) n)
(/ (- (* 2/3 (log x)) 1) n)
(/.f64 (fma.f64 (log.f64 x) #s(literal 2/3 binary64) #s(literal -1 binary64)) n)
(/ (- (* 2/3 (log x)) 1) n)
(/.f64 (fma.f64 (log.f64 x) #s(literal 2/3 binary64) #s(literal -1 binary64)) n)
(/ (- (* 2/3 (log x)) 1) n)
(/.f64 (fma.f64 (log.f64 x) #s(literal 2/3 binary64) #s(literal -1 binary64)) n)
(/ (- (* 2/3 (log x)) 1) n)
(/.f64 (fma.f64 (log.f64 x) #s(literal 2/3 binary64) #s(literal -1 binary64)) n)
(* -1 (/ (+ 1 (* -2/3 (log x))) n))
(/.f64 (fma.f64 (log.f64 x) #s(literal 2/3 binary64) #s(literal -1 binary64)) n)
(* -1 (/ (+ 1 (* -2/3 (log x))) n))
(/.f64 (fma.f64 (log.f64 x) #s(literal 2/3 binary64) #s(literal -1 binary64)) n)
(* -1 (/ (+ 1 (* -2/3 (log x))) n))
(/.f64 (fma.f64 (log.f64 x) #s(literal 2/3 binary64) #s(literal -1 binary64)) n)
(* -1 (/ (+ 1 (* -2/3 (log x))) n))
(/.f64 (fma.f64 (log.f64 x) #s(literal 2/3 binary64) #s(literal -1 binary64)) n)
(* n (pow x 2))
(*.f64 x (*.f64 x n))
(* n (pow x 2))
(*.f64 x (*.f64 x n))
(* n (pow x 2))
(*.f64 x (*.f64 x n))
(* n (pow x 2))
(*.f64 x (*.f64 x n))
(* n (pow x 2))
(*.f64 x (*.f64 x n))
(* n (pow x 2))
(*.f64 x (*.f64 x n))
(* n (pow x 2))
(*.f64 x (*.f64 x n))
(* n (pow x 2))
(*.f64 x (*.f64 x n))
(* n (pow x 2))
(*.f64 x (*.f64 x n))
(* n (pow x 2))
(*.f64 x (*.f64 x n))
(* n (pow x 2))
(*.f64 x (*.f64 x n))
(* n (pow x 2))
(*.f64 x (*.f64 x n))
(* n (pow x 2))
(*.f64 x (*.f64 x n))
(* n (pow x 2))
(*.f64 x (*.f64 x n))
(* n (pow x 2))
(*.f64 x (*.f64 x n))
(* n (pow x 2))
(*.f64 x (*.f64 x n))
(* n (pow x 2))
(*.f64 x (*.f64 x n))
(* n (pow x 2))
(*.f64 x (*.f64 x n))
(* n (pow x 2))
(*.f64 x (*.f64 x n))
(* n (pow x 2))
(*.f64 x (*.f64 x n))
(* n (pow x 2))
(*.f64 x (*.f64 x n))
(* n (pow x 2))
(*.f64 x (*.f64 x n))
(* n (pow x 2))
(*.f64 x (*.f64 x n))
(* n (pow x 2))
(*.f64 x (*.f64 x n))

eval217.0ms (0.9%)

Memory
5.9MiB live, 317.6MiB allocated
Compiler

Compiled 62 457 to 3 534 computations (94.3% saved)

prune212.0ms (0.8%)

Memory
-18.3MiB live, 403.5MiB allocated
Pruning

47 alts after pruning (44 fresh and 3 done)

PrunedKeptTotal
New1 146291 175
Fresh211536
Picked415
Done022
Total1 171471 218
Accuracy
100.0%
Counts
1 218 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.6%
(fma.f64 (*.f64 x 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))) (fma.f64 x (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 n (*.f64 n n)) n)) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
6.5%
(fma.f64 (*.f64 x 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) (/.f64 #s(literal 1/2 binary64) n)) n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
▶14.7%
(fma.f64 x (fma.f64 x (fma.f64 x (+.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 1/2 binary64) n) #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))))
24.3%
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
40.6%
(/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) (neg.f64 n))
6.1%
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x n) n))) (*.f64 n n))
10.3%
(/.f64 (fma.f64 n (fma.f64 x (fma.f64 (*.f64 x n) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) n) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) (*.f64 n (*.f64 n n)))
✓54.4%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
37.8%
(/.f64 (/.f64 (fma.f64 n (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 2/3 binary64) #s(literal -1 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) x))) (log.f64 x))) (*.f64 n n)) x)
55.3%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
27.9%
(/.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)
43.1%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
▶43.2%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) x)
37.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
59.6%
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (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)))))
42.3%
(/.f64 (-.f64 (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log1p.f64 x) n)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))
45.6%
(/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 (log.f64 x) n)) (*.f64 n n))
34.3%
(/.f64 (-.f64 x (log.f64 x)) n)
35.6%
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
42.5%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
45.4%
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (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) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64))))) n)
44.4%
(/.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)))
44.1%
(/.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))))
12.3%
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
9.1%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
▶60.1%
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
34.3%
(/.f64 (neg.f64 (log.f64 x)) n)
▶60.1%
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
4.8%
(/.f64 x n)
50.8%
(/.f64 #s(literal 1 binary64) (/.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
60.1%
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
36.5%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
24.4%
(-.f64 (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
23.4%
(-.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal 1/2 binary64) (/.f64 x n) #s(literal 1 binary64))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓16.7%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
50.9%
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) n) (/.f64 (log.f64 x) n))
9.8%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
30.1%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
56.0%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓36.4%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
53.2%
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))
60.1%
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
9.0%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
42.5%
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (*.f64 x n)))
27.3%
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)))
11.4%
(expm1.f64 (/.f64 (log1p.f64 x) n))
▶28.9%
#s(literal 0 binary64)
Compiler

Compiled 1 909 to 1 076 computations (43.6% saved)

simplify487.0ms (1.9%)

Memory
18.6MiB live, 806.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.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))
✓cost-diff320
(fma.f64 x (fma.f64 x (+.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 1/2 binary64) n) #s(literal -1/2 binary64)) n)) (/.f64 #s(literal 1 binary64) n))
✓cost-diff384
(fma.f64 x (fma.f64 x (fma.f64 x (+.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 1/2 binary64) n) #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-diff704
(fma.f64 x (+.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 1/2 binary64) n) #s(literal -1/2 binary64)) n))
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
✓cost-diff0
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
✓cost-diff0
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
✓cost-diff0
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n)
✓cost-diff384
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) x)
✓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
21 054×lower-fma.f32
21 048×lower-fma.f64
3 940×lower-*.f32
3 936×lower-*.f64
2 750×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038285
071273
1118273
2242273
3510273
41503273
53957273
67549273
08044268
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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
n
(/.f64 (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
#s(literal 1 binary64)
n
(fma.f64 x (fma.f64 x (fma.f64 x (+.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 1/2 binary64) n) #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 (fma.f64 x (+.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 1/2 binary64) n) #s(literal -1/2 binary64)) n)) (/.f64 #s(literal 1 binary64) n))
(fma.f64 x (+.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 1/2 binary64) n) #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) (/.f64 #s(literal -1/2 binary64) n)) n))
(/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))
#s(literal 1/6 binary64)
(*.f64 n (*.f64 n n))
n
(*.f64 n n)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n))
#s(literal 1/3 binary64)
(/.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)) 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)
(/.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 (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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
n
(/.f64 (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
#s(literal 1 binary64)
n
(fma.f64 x (fma.f64 x (fma.f64 x (+.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 1/2 binary64) n) #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 (/.f64 x n) (fma.f64 x (*.f64 x (+.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1/6 binary64) (*.f64 n 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)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
x
(fma.f64 x (fma.f64 x (+.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 1/2 binary64) n) #s(literal -1/2 binary64)) n)) (/.f64 #s(literal 1 binary64) n))
(fma.f64 (/.f64 x n) (fma.f64 x (+.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))
(fma.f64 x (+.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 1/2 binary64) n) #s(literal -1/2 binary64)) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (fma.f64 x (+.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) (+.f64 #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) (/.f64 #s(literal -1/2 binary64) n)) n))
(/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))
#s(literal 1/6 binary64)
(*.f64 n (*.f64 n n))
n
(*.f64 n n)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n))
#s(literal 1/3 binary64)
(/.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)) n)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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)
(/.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))

localize269.0ms (1.1%)

Memory
1.7MiB live, 348.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy96.2%
(fma.f64 x (fma.f64 x (+.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 1/2 binary64) n) #s(literal -1/2 binary64)) n)) (/.f64 #s(literal 1 binary64) n))
✓accuracy95.0%
(+.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))
✓accuracy83.0%
(fma.f64 x (+.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 1/2 binary64) n) #s(literal -1/2 binary64)) n))
✓accuracy44.8%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
✓accuracy99.7%
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
✓accuracy62.5%
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
✓accuracy99.9%
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
✓accuracy99.8%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) x)
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) x)
✓accuracy92.9%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) 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)))
✓accuracy99.7%
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
✓accuracy62.6%
(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))
Samples
102.0ms144×1valid
73.0ms39×2valid
27.0ms73×0valid
Compiler

Compiled 293 to 43 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 167.0ms
ival-log: 54.0ms (32.3% of total)
ival-div: 37.0ms (22.2% of total)
ival-add: 21.0ms (12.6% of total)
adjust: 16.0ms (9.6% of total)
ival-pow: 15.0ms (9% of total)
ival-mult: 11.0ms (6.6% of total)
const: 9.0ms (5.4% of total)
ival-sub: 2.0ms (1.2% of total)
ival-neg: 2.0ms (1.2% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series146.0ms (0.6%)

Memory
1.8MiB live, 162.1MiB allocated
Counts
18 → 312
Calls
Call 1
Inputs
#<alt (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)>
#<alt (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))>
#<alt (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))>
#<alt (/.f64 x (+.f64 x #s(literal 1 binary64)))>
#<alt (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))>
#<alt (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)>
#<alt (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)>
#<alt (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))>
#<alt (/.f64 (+.f64 x #s(literal 1 binary64)) x)>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (fma.f64 x (+.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 1/2 binary64) n) #s(literal -1/2 binary64)) n))>
#<alt (fma.f64 x (fma.f64 x (fma.f64 x (+.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 1/2 binary64) n) #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))))>
#<alt (fma.f64 x (fma.f64 x (+.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 1/2 binary64) n) #s(literal -1/2 binary64)) n)) (/.f64 #s(literal 1 binary64) n))>
#<alt (+.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))>
#<alt (/.f64 #s(literal 1/3 binary64) x)>
#<alt (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))>
Outputs
#<alt (* -1 (/ (log x) n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (/ 1 (* n x))>
#<alt (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)>
#<alt (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (log x))>
#<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 (log x)>
#<alt (+ (log x) (* -1 x))>
#<alt (+ (log x) (* x (- (* 1/2 x) 1)))>
#<alt (+ (log x) (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))>
#<alt (/ -1 x)>
#<alt (/ (- (* 1/2 (/ 1 x)) 1) x)>
#<alt (/ (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2)))) x)>
#<alt (/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (/ 1/3 (pow x 2)))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) x))) x))) x))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* x (- x 1))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))>
#<alt (/ 1/3 (* n (pow x 3)))>
#<alt (/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 3))>
#<alt (/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 3))>
#<alt (/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 3))>
#<alt (/ 1 (* n x))>
#<alt (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)>
#<alt (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
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Calls

78 calls:

TimeVariablePointExpression
57.0ms
n
@0
(/ (neg (log (/ x (+ x 1)))) n)
37.0ms
n
@0
(/ (log (/ (+ x 1) x)) n)
5.0ms
n
@inf
(/ (log (/ (+ x 1) x)) n)
5.0ms
n
@inf
(/ (neg (log (/ x (+ x 1)))) n)
1.0ms
n
@0
(/ (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) n) x)

rewrite321.0ms (1.3%)

Memory
15.1MiB live, 521.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 790×lower-/.f32
4 764×lower-/.f64
3 126×lower-*.f32
3 122×lower-*.f64
2 418×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037205
070195
1329195
23053195
08503186
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 688
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)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(/.f64 (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))
(fma.f64 x (+.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 1/2 binary64) n) #s(literal -1/2 binary64)) n))
(fma.f64 x (fma.f64 x (fma.f64 x (+.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 1/2 binary64) n) #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))))
(fma.f64 x (fma.f64 x (+.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 1/2 binary64) n) #s(literal -1/2 binary64)) n)) (/.f64 #s(literal 1 binary64) n))
(+.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 #s(literal 1/3 binary64) x)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
(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))
(-.f64 (/.f64 (log1p.f64 x) (neg.f64 (neg.f64 n))) (/.f64 (log.f64 x) (neg.f64 (neg.f64 n))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 n))) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))
(-.f64 (/.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) (neg.f64 (neg.f64 n))) (/.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 n))))
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (neg.f64 n))))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 (neg.f64 n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 1 binary64))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) n)
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (neg.f64 n))
(/.f64 (-.f64 (log1p.f64 x) (*.f64 (log.f64 x) #s(literal 1 binary64))) n)
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) (neg.f64 n))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal -1 binary64))) (neg.f64 (neg.f64 n)))
(pow.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
(*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n))
(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))
(*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(+.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))) (log.f64 (+.f64 #s(literal -1 binary64) (neg.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 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) (log.f64 (neg.f64 x)))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (*.f64 x (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(-.f64 (neg.f64 (log.f64 x)) (neg.f64 (log1p.f64 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(-.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x)))
(-.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) x)))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)))) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 x))
(-.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (log.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(-.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x))))))
(-.f64 (/.f64 #s(literal 0 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 (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 (/.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))))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log1p.f64 x))
(neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (-.f64 #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 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 x (+.f64 x #s(literal 1 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) (log.f64 x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.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 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (log.f64 x) (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 #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 (+.f64 x #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x))) (/.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 x) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x))) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x))))
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(pow.f64 (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) (/.f64 (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n) (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n)))))) (+.f64 (/.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n)))))) (/.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)))) (*.f64 n (*.f64 n n))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n))) n) (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n))))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64))) (*.f64 n n)))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 n (*.f64 n n)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n (*.f64 n n)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n)))))) (/.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)))) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) (/.f64 (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n) (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n))))))))
(*.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n (*.f64 n n))))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64))) (*.f64 n n))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n))) n)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1/3 binary64) (neg.f64 x))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))

simplify1.1s (4.3%)

Memory
2.7MiB live, 569.8MiB allocated
Algorithm
1×egg-herbie
Rules
11 176×lower-fma.f64
11 176×lower-fma.f32
5 466×lower-*.f64
5 466×lower-*.f32
4 334×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05284333
116254135
246774068
088663892
Stop Event
1×iter limit
1×node limit
Counts
312 → 309
Calls
Call 1
Inputs
(* -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)
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(/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (* -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)
(* -1 (/ (log x) n))
(* -1 (/ (- (* 1/2 (/ (pow (log x) 2) n)) (* -1 (log x))) n))
(* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))
(* -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))
Outputs
(* -1 (/ (log x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(-.f64 (fma.f64 x (/.f64 (*.f64 x #s(literal -1/2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(-.f64 (fma.f64 x (/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) n) (/.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)
(+.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 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x 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 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 x (*.f64 x x))))) 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 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/3 binary64) (*.f64 x n)))) x) (/.f64 #s(literal 1 binary64) n)) x)
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(* -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 x (*.f64 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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) 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 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))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) x))) x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x)
x
(* x (+ 1 (* -1 x)))
(-.f64 x (*.f64 x x))
(* x (+ 1 (* x (- x 1))))
(fma.f64 x (-.f64 (*.f64 x x) x) x)
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(fma.f64 (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1 binary64) 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 (pow x 2))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))
(/ 1/3 (* n (pow x 3)))
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 3))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x (*.f64 x x)))
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 3))
(/.f64 (fma.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x (*.f64 x x)))
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 3))
(/.f64 (fma.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x (*.f64 x x)))
(/ 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 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x 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 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)) x)
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/ 1/3 (* n (pow x 2)))
(/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))
(/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 2))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x))
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 2))
(/.f64 (fma.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x))
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 2))
(/.f64 (fma.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(- (/ 1 n) (* 1/2 (/ 1 (* n x))))
(+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))
(- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x)))
(+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))
(- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x)))
(+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(- (/ 1 n) (* 1/2 (/ 1 (* n x))))
(+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))
(+ (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/3 (/ 1 (* n x)))) x)) (/ 1 n))
(+.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x n)))))
(+ (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/3 (/ 1 (* n x)))) x)) (/ 1 n))
(+.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x n)))))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n)
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n)
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n)
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n)
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n)
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n)
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n)
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n)
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n)
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n)
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n)
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n)
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ (+ 1/3 (* -1/2 x)) (pow x 2))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (*.f64 x x))
(/ (+ 1/3 (* x (- x 1/2))) (pow x 2))
(/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x))
(/ (+ 1/3 (* x (- x 1/2))) (pow x 2))
(/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x))
1
#s(literal 1 binary64)
(- 1 (* 1/2 (/ 1 x)))
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(* -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 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) n)) 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 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) n)) n)) (neg.f64 n))
(/ 1/6 (pow n 3))
(/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))
(/ (+ 1/6 (* -1/2 n)) (pow n 3))
(/.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))
(/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3))
(/.f64 (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))
(/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3))
(/.f64 (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
(/ (- 1/3 (* 1/2 (/ 1 n))) n)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)
(/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) n)) n)
(/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) n)) n)
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
(* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))
(/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) n)) (neg.f64 n))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))
(/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) n)) (neg.f64 n))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(- 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 (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- 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 (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)))
(- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)))
(- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)))
(- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)))
(- 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 (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- 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 (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(* -1 (/ (log x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n) (log.f64 x)) (neg.f64 n))
(/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n)) n) (log.f64 x)) n)
(/ (- (* -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)
(/.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (log.f64 x)))) n)
(* -1 (/ (log x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(* -1 (/ (- (* 1/2 (/ (pow (log x) 2) n)) (* -1 (log x))) n))
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n) (log.f64 x)) (neg.f64 n))
(* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n)) n) (log.f64 x)) n)
(* -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))
(/.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n) (log.f64 x)) n)

eval185.0ms (0.7%)

Memory
11.2MiB live, 171.3MiB allocated
Compiler

Compiled 30 888 to 3 028 computations (90.2% saved)

prune232.0ms (0.9%)

Memory
-11.1MiB live, 189.1MiB allocated
Pruning

56 alts after pruning (50 fresh and 6 done)

PrunedKeptTotal
New1 010211 031
Fresh102939
Picked235
Done033
Total1 022561 078
Accuracy
100.0%
Counts
1 078 → 56
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.6%
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #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))))
24.3%
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
40.6%
(/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) (neg.f64 n))
31.9%
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x (*.f64 x x)))
10.4%
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (fma.f64 x (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 n (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) n))))) (*.f64 n (*.f64 n n)))
6.1%
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x n) n))) (*.f64 n n))
✓54.4%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
37.0%
(/.f64 (/.f64 (fma.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) x)
55.3%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
32.1%
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) n) x)
34.3%
(/.f64 (/.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)))))))) n)
43.2%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (*.f64 x x))) n) x)
36.0%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))) n) x)
27.9%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) x) n)
43.1%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
34.2%
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) n)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) x)
34.3%
(/.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n)
37.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
37.3%
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
35.1%
(/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) x)
59.6%
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (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)))))
42.3%
(/.f64 (-.f64 (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log1p.f64 x) n)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))
45.6%
(/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 (log.f64 x) n)) (*.f64 n n))
34.3%
(/.f64 (-.f64 x (log.f64 x)) n)
35.6%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 (*.f64 x n) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
42.5%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
31.4%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x n) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
45.4%
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (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) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64))))) n)
44.4%
(/.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)))
44.1%
(/.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))))
12.3%
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
9.1%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
✓60.1%
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
34.3%
(/.f64 (neg.f64 (log.f64 x)) n)
✓60.1%
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
4.8%
(/.f64 x n)
50.8%
(/.f64 #s(literal 1 binary64) (/.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
60.1%
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
42.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 n (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))
36.5%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
37.2%
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
24.4%
(-.f64 (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
23.4%
(-.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal 1/2 binary64) (/.f64 x n) #s(literal 1 binary64))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓16.7%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
50.9%
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) n) (/.f64 (log.f64 x) n))
9.8%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
30.1%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
56.0%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓36.4%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
53.2%
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))
60.1%
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64)))
42.5%
(*.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 binary64) (*.f64 x n)))
60.1%
(*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n))
27.3%
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)))
11.7%
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/3 binary64) n) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (*.f64 n n))))))
✓28.9%
#s(literal 0 binary64)
Compiler

Compiled 3 571 to 1 087 computations (69.6% saved)

regimes291.0ms (1.2%)

Memory
-3.6MiB live, 150.8MiB allocated
Counts
99 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) x)
(*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x n) n))) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (*.f64 x x))) n) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (*.f64 x n)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 n (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/3 binary64) n) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (*.f64 n n))))))
(*.f64 x (*.f64 x (*.f64 x (+.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 x (*.f64 x x)) (+.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 (+.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 1/3 binary64) (*.f64 x (*.f64 x n))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(/.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 (fma.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) x)
(/.f64 (fma.f64 n (fma.f64 x (fma.f64 (*.f64 x n) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) n) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (fma.f64 x (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 n (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) n))))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))) n) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 (*.f64 x n) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(fma.f64 (*.f64 x 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) (/.f64 #s(literal 1/2 binary64) n)) n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) (log.f64 x)) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #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 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (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)) (neg.f64 n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal 1/2 binary64) (/.f64 x n) #s(literal 1 binary64))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x n) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #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)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) n) x)
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) n)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) x)
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 n (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #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))))
(fma.f64 (*.f64 x 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))) (fma.f64 x (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 n (*.f64 n n)) n)) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(fma.f64 x (fma.f64 x (fma.f64 x (+.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 1/2 binary64) n) #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 x (fma.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) (*.f64 n n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 x (fma.f64 x (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 (/.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 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 (log.f64 x) n)) (*.f64 n n))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (+.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))))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal 1/2 binary64) x))) x) 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)))
(/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) (neg.f64 n))
(/.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 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n)
(/.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 (fma.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(/.f64 (/.f64 (fma.f64 n (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 2/3 binary64) #s(literal -1 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) x))) (log.f64 x))) (*.f64 n n)) x)
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) n) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (/.f64 (log.f64 x) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)))
(/.f64 (fma.f64 (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 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/.f64 (/.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)))))))) 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)
(/.f64 (-.f64 (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log1p.f64 x) n)) (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 (log1p.f64 x) #s(literal 3 binary64)) (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 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n)
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) n) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) n) (/.f64 (log.f64 x) n)))
(/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))) n)
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (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) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log1p.f64 x)) #s(literal 2 binary64))))) n)
Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

4 calls:

103.0ms
n
79.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
63.0ms
x
27.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
82.5%2x
86.3%3n
85.5%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
89.3%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes73.0ms (0.3%)

Memory
18.3MiB live, 95.5MiB allocated
Counts
72 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) x)
(*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x n) n))) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (*.f64 x x))) n) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (*.f64 x n)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 n (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/3 binary64) n) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (*.f64 n n))))))
(*.f64 x (*.f64 x (*.f64 x (+.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 x (*.f64 x x)) (+.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 (+.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 1/3 binary64) (*.f64 x (*.f64 x n))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(/.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 (fma.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) x)
(/.f64 (fma.f64 n (fma.f64 x (fma.f64 (*.f64 x n) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) n) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (fma.f64 x (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 n (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) n))))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))) n) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 (*.f64 x n) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(fma.f64 (*.f64 x 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) (/.f64 #s(literal 1/2 binary64) n)) n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) (log.f64 x)) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #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 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (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)) (neg.f64 n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal 1/2 binary64) (/.f64 x n) #s(literal 1 binary64))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x n) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #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)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) n) x)
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) n)) (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) x)
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 n (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #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))))
(fma.f64 (*.f64 x 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))) (fma.f64 x (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 n (*.f64 n n)) n)) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(fma.f64 x (fma.f64 x (fma.f64 x (+.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 1/2 binary64) n) #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 x (fma.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) (*.f64 n n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 x (fma.f64 x (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 (/.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 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 (log.f64 x) n)) (*.f64 n n))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (+.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))))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal 1/2 binary64) x))) x) 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)
Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal 1/2 binary64) (/.f64 x n) #s(literal 1 binary64))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

3 calls:

26.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
22.0ms
n
20.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
82.2%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)))
86.4%5n
86.4%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes117.0ms (0.5%)

Memory
7.4MiB live, 89.3MiB allocated
Counts
52 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) x)
(*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x n) n))) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (*.f64 x x))) n) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (*.f64 x n)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 n (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/3 binary64) n) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (*.f64 n n))))))
(*.f64 x (*.f64 x (*.f64 x (+.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 x (*.f64 x x)) (+.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 (+.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 1/3 binary64) (*.f64 x (*.f64 x n))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(/.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 (fma.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) x)
(/.f64 (fma.f64 n (fma.f64 x (fma.f64 (*.f64 x n) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) n) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (fma.f64 x (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 n (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) n))))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))) n) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 (*.f64 x n) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(fma.f64 (*.f64 x 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) (/.f64 #s(literal 1/2 binary64) n)) n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) (log.f64 x)) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #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 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (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)) (neg.f64 n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

3 calls:

58.0ms
n
41.0ms
(/.f64 #s(literal 1 binary64) n)
15.0ms
x
Results
AccuracySegmentsBranch
84.5%5n
74.2%2x
84.5%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes25.0ms (0.1%)

Memory
-8.1MiB live, 30.6MiB allocated
Counts
51 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) x)
(*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x n) n))) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (*.f64 x x))) n) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (*.f64 x n)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 n (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/3 binary64) n) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (*.f64 n n))))))
(*.f64 x (*.f64 x (*.f64 x (+.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 x (*.f64 x x)) (+.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 (+.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 1/3 binary64) (*.f64 x (*.f64 x n))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(/.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 (fma.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) x)
(/.f64 (fma.f64 n (fma.f64 x (fma.f64 (*.f64 x n) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) n) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (fma.f64 x (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 n (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) n))))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))) n) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 (*.f64 x n) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(fma.f64 (*.f64 x 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) (/.f64 #s(literal 1/2 binary64) n)) n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) (log.f64 x)) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #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 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (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)) (neg.f64 n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
Calls

1 calls:

22.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
85.6%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes54.0ms (0.2%)

Memory
11.6MiB live, 50.3MiB 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) x)
(*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x n) n))) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (*.f64 x x))) n) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (*.f64 x n)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 n (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/3 binary64) n) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (*.f64 n n))))))
(*.f64 x (*.f64 x (*.f64 x (+.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 x (*.f64 x x)) (+.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 (+.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 1/3 binary64) (*.f64 x (*.f64 x n))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(/.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 (fma.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) x)
(/.f64 (fma.f64 n (fma.f64 x (fma.f64 (*.f64 x n) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) n) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (fma.f64 x (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 n (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) n))))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))) n) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 (*.f64 x n) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(fma.f64 (*.f64 x 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) (/.f64 #s(literal 1/2 binary64) n)) n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) (log.f64 x)) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #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 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (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)) (neg.f64 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) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
Calls

2 calls:

39.0ms
(/.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
78.8%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
85.3%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 20 to 12 computations (40% saved)

regimes38.0ms (0.1%)

Memory
-30.1MiB live, 16.3MiB allocated
Counts
45 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) x)
(*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x n) n))) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (*.f64 x x))) n) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (*.f64 x n)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 n (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/3 binary64) n) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (*.f64 n n))))))
(*.f64 x (*.f64 x (*.f64 x (+.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 x (*.f64 x x)) (+.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 (+.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 1/3 binary64) (*.f64 x (*.f64 x n))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(/.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 (fma.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) x)
(/.f64 (fma.f64 n (fma.f64 x (fma.f64 (*.f64 x n) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) n) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (fma.f64 x (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 n (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) n))))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))) n) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 (*.f64 x n) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(fma.f64 (*.f64 x 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) (/.f64 #s(literal 1/2 binary64) n)) n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) (log.f64 x)) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #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) (*.f64 x n))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
Calls

1 calls:

35.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
85.1%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes49.0ms (0.2%)

Memory
30.9MiB live, 69.7MiB allocated
Counts
44 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) x)
(*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x n) n))) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (*.f64 x x))) n) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (*.f64 x n)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 n (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/3 binary64) n) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (*.f64 n n))))))
(*.f64 x (*.f64 x (*.f64 x (+.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 x (*.f64 x x)) (+.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 (+.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 1/3 binary64) (*.f64 x (*.f64 x n))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(/.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 (fma.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) x)
(/.f64 (fma.f64 n (fma.f64 x (fma.f64 (*.f64 x n) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) n) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (fma.f64 x (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 n (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) n))))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))) n) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 (*.f64 x n) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(fma.f64 (*.f64 x 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) (/.f64 #s(literal 1/2 binary64) n)) n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) (log.f64 x)) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #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:

22.0ms
n
13.0ms
(/.f64 #s(literal 1 binary64) n)
11.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
78.6%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)))
75.9%5n
75.9%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes30.0ms (0.1%)

Memory
-15.2MiB live, 23.7MiB allocated
Counts
43 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) x)
(*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x n) n))) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (*.f64 x x))) n) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (*.f64 x n)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 n (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/3 binary64) n) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (*.f64 n n))))))
(*.f64 x (*.f64 x (*.f64 x (+.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 x (*.f64 x x)) (+.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 (+.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 1/3 binary64) (*.f64 x (*.f64 x n))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(/.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 (fma.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) x)
(/.f64 (fma.f64 n (fma.f64 x (fma.f64 (*.f64 x n) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) n) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (fma.f64 x (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 n (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) n))))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))) n) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 (*.f64 x n) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(fma.f64 (*.f64 x 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) (/.f64 #s(literal 1/2 binary64) n)) n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) (log.f64 x)) n)
Outputs
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

27.0ms
(-.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
78.5%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 15 to 8 computations (46.7% saved)

regimes72.0ms (0.3%)

Memory
14.1MiB live, 94.9MiB allocated
Counts
41 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) x)
(*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x n) n))) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (*.f64 x x))) n) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (*.f64 x n)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 n (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/3 binary64) n) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (*.f64 n n))))))
(*.f64 x (*.f64 x (*.f64 x (+.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 x (*.f64 x x)) (+.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 (+.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 1/3 binary64) (*.f64 x (*.f64 x n))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(/.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 (fma.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) x)
(/.f64 (fma.f64 n (fma.f64 x (fma.f64 (*.f64 x n) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) n) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (fma.f64 x (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 n (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) n))))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))) n) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 (*.f64 x n) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(fma.f64 (*.f64 x 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) (/.f64 #s(literal 1/2 binary64) n)) n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
Outputs
(neg.f64 (/.f64 (log.f64 x) n))
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/3 binary64) n) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (*.f64 n n))))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
#s(literal 0 binary64)
Calls

4 calls:

32.0ms
(/.f64 #s(literal 1 binary64) n)
13.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
12.0ms
x
12.0ms
n
Results
AccuracySegmentsBranch
64.2%6n
64.1%6(/.f64 #s(literal 1 binary64) n)
65.3%4x
52.8%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes98.0ms (0.4%)

Memory
4.3MiB live, 82.0MiB allocated
Counts
36 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) x)
(*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x n) n))) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (*.f64 x x))) n) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(/.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (*.f64 x n)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 n (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) x))
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/3 binary64) n) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (*.f64 n n))))))
(*.f64 x (*.f64 x (*.f64 x (+.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 x (*.f64 x x)) (+.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 (+.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 1/3 binary64) (*.f64 x (*.f64 x n))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(/.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 (fma.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) x)
(/.f64 (fma.f64 n (fma.f64 x (fma.f64 (*.f64 x n) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) n) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (fma.f64 x (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 n (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) n))))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))) n) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 (*.f64 x n) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))
(fma.f64 (*.f64 x 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) (/.f64 #s(literal 1/2 binary64) n)) n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
Outputs
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (*.f64 x x))) n) x)
Calls

4 calls:

41.0ms
x
35.0ms
(/.f64 #s(literal 1 binary64) n)
11.0ms
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
43.2%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)))
50.8%2(/.f64 #s(literal 1 binary64) n)
51.1%3n
49.8%4x
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes30.0ms (0.1%)

Memory
-23.6MiB live, 15.5MiB allocated
Counts
16 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) x)
(*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x n) n))) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
Outputs
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n))
Calls

1 calls:

29.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
50.1%2(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0%)

Memory
13.6MiB live, 13.6MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) x)
(*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x n) n))) (*.f64 n n))
Outputs
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
Calls

1 calls:

5.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
49.7%2(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes18.0ms (0.1%)

Memory
-21.6MiB live, 20.3MiB allocated
Counts
7 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
Outputs
#s(literal 0 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
Calls

3 calls:

11.0ms
x
3.0ms
(/.f64 #s(literal 1 binary64) n)
3.0ms
n
Results
AccuracySegmentsBranch
40.5%2x
45.6%3n
44.8%2(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes7.0ms (0%)

Memory
17.2MiB live, 17.2MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
Calls

3 calls:

2.0ms
(/.f64 #s(literal 1 binary64) n)
2.0ms
n
2.0ms
(-.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
44.9%3n
36.5%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)))
44.0%2(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes12.0ms (0%)

Memory
-21.0MiB live, 18.4MiB allocated
Accuracy

Total -16.2b remaining (-35.7%)

Threshold costs -16.2b (-35.7%)

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:

6.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
2.0ms
n
2.0ms
x
2.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
28.9%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)))
28.9%1x
28.9%1n
28.9%1(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch1.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.0919446686283614e-20
7.201930825014161e-18
0.0ms
2.1577746886074752e-89
2.410374987436232e-87
0.0ms
-1.470502252954737e-64
-6.829750803407939e-69
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.0919446686283614e-20
7.201930825014161e-18
0.0ms
2.1577746886074752e-89
2.410374987436232e-87
0.0ms
-1.470502252954737e-64
-6.829750803407939e-69
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.0919446686283614e-20
7.201930825014161e-18
0.0ms
2.1577746886074752e-89
2.410374987436232e-87
0.0ms
-1.470502252954737e-64
-6.829750803407939e-69
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
5.845141758525728e+196
4.1767783886620686e+213
0.0ms
2.0919446686283614e-20
7.201930825014161e-18
0.0ms
2.1577746886074752e-89
2.410374987436232e-87
0.0ms
-1.470502252954737e-64
-6.829750803407939e-69
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
5.845141758525728e+196
4.1767783886620686e+213
0.0ms
2.0919446686283614e-20
7.201930825014161e-18
0.0ms
2.1577746886074752e-89
2.410374987436232e-87
0.0ms
-1.470502252954737e-64
-6.829750803407939e-69
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
1.3315092907374503e+179
1.839400077651972e+184
0.0ms
2.0919446686283614e-20
7.201930825014161e-18
0.0ms
2.1577746886074752e-89
2.410374987436232e-87
0.0ms
-1.470502252954737e-64
-6.829750803407939e-69
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.9202752155631515e-11
0.9999998243793043
0.0ms
-inf
-7.898395271155323e-10
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.9202752155631515e-11
0.9999998243793043
0.0ms
-inf
-7.898395271155323e-10
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch112.0ms (0.4%)

Memory
8.8MiB live, 165.3MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
36.0ms
7.924898952340719e+195
3.7195895744393627e+196
22.0ms
0.002804969459591708
0.2138474736646522
49.0ms
3.2872449935447737e-31
2.785636453500576e-26
Samples
58.0ms113×2valid
18.0ms97×1valid
12.0ms142×0valid
2.0ms18×0exit
Compiler

Compiled 784 to 545 computations (30.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-pow: 43.0ms (55.8% of total)
adjust: 22.0ms (28.5% of total)
ival-div: 5.0ms (6.5% of total)
ival-add: 3.0ms (3.9% of total)
ival-sub: 3.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-25340138587220.43
-2062585.2481812576
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-25340138587220.43
-2062585.2481812576
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2062585.2481812576
-5.668244153870514e-7
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-25340138587220.43
-2062585.2481812576
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-25340138587220.43
-2062585.2481812576
Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify59.0ms (0.2%)

Memory
9.6MiB live, 47.6MiB allocated
Algorithm
1×egg-herbie
Rules
470×distribute-lft-neg-in_binary64
326×neg-mul-1_binary64
296×cancel-sign-sub_binary64
252×neg-sub0_binary64
212×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0130638
1177638
2227637
3285637
4347637
5411637
6518637
7771637
81032637
91283637
101483637
111623637
121702637
131736637
141742637
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5733746539975179/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 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 6646139978924579/166153499473114484112975882535043072 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5733746539975179/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 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 6646139978924579/166153499473114484112975882535043072 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (-.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal 1/2 binary64) (/.f64 x n) #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 -5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5733746539975179/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 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 6646139978924579/166153499473114484112975882535043072 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (-.f64 (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #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 -5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5733746539975179/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 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 6646139978924579/166153499473114484112975882535043072 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 99999999999999995114329246392351320533891604611862166994665838905735117237499591832783878891723402280958754487671382567069482532505524930926357359262764539937703665383734250007772365382290862243840 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5733746539975179/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 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 6646139978924579/166153499473114484112975882535043072 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 99999999999999995114329246392351320533891604611862166994665838905735117237499591832783878891723402280958754487671382567069482532505524930926357359262764539937703665383734250007772365382290862243840 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5733746539975179/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 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 6646139978924579/166153499473114484112975882535043072 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999996091099546963028318915752778493452543828291966300228010772656544918538878468995967298844297195887900676839994006336880488768194581630088140609089562433891216654336 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))))))
(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 7737125245533627/154742504910672534362390528 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 7737125245533627/154742504910672534362390528 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 4529838868451533/696898287454081973172991196020261297061888 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 7566047373982433/36028797018963968 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/3 binary64) n) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (*.f64 n n)))))) (if (<=.f64 x #s(literal 12000000000000000243622623343280750166548565291655690241849147117175594067631416958064627749588437553656460327941324765687915226160820828190193098193886806369899406668840847413169044526176808206336 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x) #s(literal 0 binary64))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -20000000000000 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/3 binary64)) (*.f64 x x))) n) x))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -20000000000000 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (*.f64 x n)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2000000 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -20000000000000 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -20000000000000 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 -5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5733746539975179/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 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 6646139978924579/166153499473114484112975882535043072 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5733746539975179/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6646139978924579/166153499473114484112975882535043072 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 n x)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5733746539975179/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 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 6646139978924579/166153499473114484112975882535043072 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (-.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal 1/2 binary64) (/.f64 x n) #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 -5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5733746539975179/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6646139978924579/166153499473114484112975882535043072 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 n x)) (-.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal 1/2 binary64) (/.f64 x n) #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 -5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5733746539975179/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 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 6646139978924579/166153499473114484112975882535043072 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (-.f64 (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #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 -5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5733746539975179/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6646139978924579/166153499473114484112975882535043072 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 n x)) (-.f64 (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #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 -5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5733746539975179/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 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 6646139978924579/166153499473114484112975882535043072 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 99999999999999995114329246392351320533891604611862166994665838905735117237499591832783878891723402280958754487671382567069482532505524930926357359262764539937703665383734250007772365382290862243840 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5733746539975179/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6646139978924579/166153499473114484112975882535043072 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 n x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 99999999999999995114329246392351320533891604611862166994665838905735117237499591832783878891723402280958754487671382567069482532505524930926357359262764539937703665383734250007772365382290862243840 binary64)) (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5733746539975179/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 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 6646139978924579/166153499473114484112975882535043072 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 99999999999999995114329246392351320533891604611862166994665838905735117237499591832783878891723402280958754487671382567069482532505524930926357359262764539937703665383734250007772365382290862243840 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))))))
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -20000000000000 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -20000000000000 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
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#s(literal 0 binary64)

soundness1.7s (6.6%)

Memory
9.9MiB live, 1 452.5MiB allocated
Rules
13 074×lower-fma.f64
13 074×lower-fma.f32
11 176×lower-fma.f64
11 176×lower-fma.f32
8 562×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051413
0102369
1519342
26194342
08060326
05284333
116254135
246774068
088663892
0831
01331
16331
240731
3433531
0843327
038296
075288
1395288
24318288
08982273
09157759
128707302
082326829
02631714
17611578
221161504
374551498
087361380
07577962
123207548
269297302
080676827
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 1 387 to 644 computations (53.6% saved)

preprocess93.0ms (0.4%)

Memory
29.5MiB live, 142.0MiB allocated
Compiler

Compiled 1 308 to 272 computations (79.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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