2nthrt (problem 3.4.6)

Time bar (total: 26.8s)

analyze253.0ms (0.9%)

Memory
25.1MiB live, 316.1MiB 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)

sample13.4s (49.8%)

Memory
-333.5MiB live, 16 920.5MiB allocated
Samples
8.5s4 834×5exit
1.5s2 816×2valid
918.0ms2 869×1valid
544.0ms2 288×1exit
287.0ms2 564×0valid
264.0ms7×3valid
230.0ms1 616×0exit
44.0ms109×2exit
3.0ms2×4exit
Precisions
Click to see histograms. Total time spent on operations: 11.1s
ival-pow: 8.7s (78.9% of total)
adjust: 989.0ms (8.9% of total)
ival-div: 579.0ms (5.2% of total)
ival-add: 446.0ms (4% of total)
ival-sub: 257.0ms (2.3% of total)
exact: 34.0ms (0.3% of total)
ival-true: 16.0ms (0.1% of total)
ival-assert: 7.0ms (0.1% of total)
Bogosity

preprocess52.0ms (0.2%)

Memory
8.9MiB live, 47.8MiB allocated
Algorithm
2×egg-herbie
Rules
140×sub-neg
86×unsub-neg
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
80×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02588
14882
210180
317480
427280
539980
650480
756480
865180
968180
1069780
0813
11313
21713
32313
43113
54613
67813
710213
814513
916013
1016813
016813
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
Outputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Call 2
Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n)))
(- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n))))
(neg (- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n))))
(neg (- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n)))))
(- (pow (+ n 1) (/ 1 x)) (pow n (/ 1 x)))
Outputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n)))
(- (pow (- 1 x) (/ 1 n)) (pow (neg x) (/ 1 n)))
(- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n))))
(- (pow (+ x 1) (/ -1 n)) (pow x (/ -1 n)))
(neg (- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n))))
(- (pow (neg x) (/ 1 n)) (pow (- 1 x) (/ 1 n)))
(neg (- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n)))))
(- (pow x (/ -1 n)) (pow (+ x 1) (/ -1 n)))
(- (pow (+ n 1) (/ 1 x)) (pow n (/ 1 x)))
(- (pow (+ 1 n) (/ 1 x)) (pow n (/ 1 x)))

explain325.0ms (1.2%)

Memory
-10.4MiB live, 500.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1280-1(1.0346209370404726e-57 -8133.4731681017865)(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
3527(1.1320979274294143e-129 0.005549907227106793)0-(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
10-0-(pow.f64 x (/.f64 #s(literal 1 binary64) n))
00-0-(+.f64 x #s(literal 1 binary64))
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)))cancellation1271
pow.f64(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))sensitivity620
pow.f64(pow.f64 x (/.f64 #s(literal 1 binary64) n))sensitivity10
Confusion
Predicted +Predicted -
+1441
-4665
Precision
0.7578947368421053
Recall
0.993103448275862
Confusion?
Predicted +Predicted MaybePredicted -
+14410
-46065
Precision?
0.7591623036649214
Recall?
1.0
Freqs
test
numberfreq
066
1190
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
85.0ms190×2valid
74.0ms232×1valid
15.0ms90×0valid
Compiler

Compiled 102 to 36 computations (64.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-pow: 105.0ms (74.7% of total)
adjust: 13.0ms (9.3% of total)
ival-div: 9.0ms (6.4% of total)
ival-add: 6.0ms (4.3% of total)
ival-sub: 6.0ms (4.3% of total)
exact: 1.0ms (0.7% of total)
ival-true: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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
▶48.1%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify8.0ms (0%)

Memory
16.1MiB live, 16.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) n)
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓cost-diff0
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Rules
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
48×*-lowering-*.f32
48×*-lowering-*.f64
36×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0834
11334
21734
32334
43134
54634
67834
710234
814534
916034
1016834
016834
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(pow (+ x 1) (/ 1 n))
(+ x 1)
x
1
(/ 1 n)
n
(pow x (/ 1 n))
Outputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow (+ x 1) (/ 1 n))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))

localize98.0ms (0.4%)

Memory
19.6MiB live, 211.7MiB 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))
✓accuracy88.6%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓accuracy53.9%
(-.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
50.0ms95×2valid
31.0ms116×1valid
4.0ms45×0valid
Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-pow: 54.0ms (75.4% of total)
adjust: 7.0ms (9.8% of total)
ival-div: 4.0ms (5.6% of total)
ival-add: 3.0ms (4.2% of total)
ival-sub: 3.0ms (4.2% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series109.0ms (0.4%)

Memory
-34.1MiB live, 163.3MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#<alt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))>
#<alt (pow (+ x 1) (/ 1 n))>
#<alt (+ x 1)>
#<alt (/ 1 n)>
#<alt (pow x (/ 1 n))>
Outputs
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)>
#<alt (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)>
#<alt (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))>
Calls

24 calls:

TimeVariablePointExpression
55.0ms
x
@-inf
(pow x (/ 1 n))
27.0ms
x
@0
(pow x (/ 1 n))
13.0ms
x
@-inf
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
6.0ms
x
@inf
(pow x (/ 1 n))
1.0ms
x
@inf
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite352.0ms (1.3%)

Memory
-17.2MiB live, 501.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 822×accelerator-lowering-fma.f32
3 822×accelerator-lowering-fma.f64
3 746×*-lowering-*.f32
3 746×*-lowering-*.f64
3 490×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831
15831
240231
3432431
0839927
Stop Event
1×iter limit
1×node limit
Counts
5 → 321
Calls
Call 1
Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(pow (+ x 1) (/ 1 n))
(+ x 1)
(/ 1 n)
(pow x (/ 1 n))
Outputs
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (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 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 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))))

simplify752.0ms (2.8%)

Memory
26.4MiB live, 613.3MiB allocated
Algorithm
1×egg-herbie
Rules
13 074×accelerator-lowering-fma.f32
13 074×accelerator-lowering-fma.f64
4 500×*-lowering-*.f32
4 500×*-lowering-*.f64
3 564×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02631714
17611578
221161504
374551498
087361380
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
1
(+ 1 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
1
(+ 1 (/ (log x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
1
(+ 1 (/ (log x) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
Outputs
(- 1 (exp (/ (log x) n)))
(-.f64 #s(literal 1 binary64) (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))

eval116.0ms (0.4%)

Memory
-25.8MiB live, 100.7MiB allocated
Compiler

Compiled 12 144 to 1 432 computations (88.2% saved)

prune113.0ms (0.4%)

Memory
-4.6MiB live, 156.9MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New46915484
Fresh000
Picked101
Done000
Total47015485
Accuracy
99.9%
Counts
485 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶48.0%
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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) 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))))
34.5%
(/.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)
39.8%
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
54.0%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
67.4%
(/.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)
21.6%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
▶74.0%
(/.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))
61.9%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
20.4%
(-.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)))
15.6%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
55.7%
(-.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))))
▶27.8%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
53.9%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶34.4%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 728 to 408 computations (44% saved)

simplify674.0ms (2.5%)

Memory
16.8MiB live, 730.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) n)
✓cost-diff0
(pow.f64 x (/.f64 #s(literal 1/2 binary64) n))
✓cost-diff7488
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
✓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 (+.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-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-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
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓cost-diff0
(/.f64 x n)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 x n))
✓cost-diff0
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) n)
✓cost-diff0
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓cost-diff0
(log.f64 x)
✓cost-diff0
(-.f64 (log.f64 x) (log1p.f64 x))
✓cost-diff0
(-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (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))
✓cost-diff128
(/.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))
Rules
21 370×accelerator-lowering-fma.f32
21 370×accelerator-lowering-fma.f64
3 618×*-lowering-*.f32
3 618×*-lowering-*.f64
3 176×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056516
1139511
2383509
31156508
44178508
08602459
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))
(- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))
(- (log x) (log (+ 1 x)))
(log x)
x
(log (+ 1 x))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)
(+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n))
1/2
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(pow (log (+ 1 x)) 2)
2
(pow (log x) 2)
(/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)
(* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
1/6
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(pow (log (+ 1 x)) 3)
3
(pow (log x) 3)
n
(neg n)
(- 1 (pow x (/ 1 n)))
1
(pow x (/ 1 n))
x
(/ 1 n)
n
(- (+ 1 (/ x n)) (pow x (/ 1 n)))
(+ 1 (/ x n))
1
(/ x n)
x
n
(pow x (/ 1 n))
(/ 1 n)
(+ (* x (+ (* x (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))) (- 1 (pow x (/ 1 n))))
x
(+ (* x (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))
(+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))
(+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))
(/ 1/6 (* n (* n n)))
1/6
(* n (* n n))
n
(* n n)
(+ (/ 1/3 n) (/ -1/2 (* n n)))
(/ 1/3 n)
1/3
(/ -1/2 (* n n))
-1/2
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(/ 1/2 (* n n))
1/2
(/ -1/2 n)
(/ 1 n)
1
(- 1 (pow x (/ 1 n)))
(pow x (/ 1 n))
(+ (* (pow x (/ 1/2 n)) (neg (pow x (/ 1/2 n)))) (pow (+ x 1) (/ 1 n)))
(pow x (/ 1/2 n))
x
(/ 1/2 n)
1/2
n
(neg (pow x (/ 1/2 n)))
(pow (+ x 1) (/ 1 n))
(+ x 1)
1
(/ 1 n)
Outputs
(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))
(/.f64 (+.f64 (/.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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (-.f64 (log1p.f64 x) (log.f64 x))) n)
(- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))
(-.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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))
(- (log x) (log (+ 1 x)))
(-.f64 (log.f64 x) (log1p.f64 x))
(log x)
(log.f64 x)
x
(log (+ 1 x))
(log1p.f64 x)
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)
(/.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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)
(+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n))
(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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n)))
1/2
#s(literal 1/2 binary64)
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow (log (+ 1 x)) 2)
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))
(* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
(*.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))))
1/6
#s(literal 1/6 binary64)
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow (log (+ 1 x)) 3)
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
n
(neg n)
(neg.f64 n)
(- 1 (pow x (/ 1 n)))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
1
#s(literal 1 binary64)
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(- (+ 1 (/ x n)) (pow x (/ 1 n)))
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 x n))
(+ 1 (/ x n))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
1
#s(literal 1 binary64)
(/ x n)
(/.f64 x n)
x
n
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(+ (* x (+ (* x (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))) (- 1 (pow x (/ 1 n))))
(fma.f64 x (fma.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) n) (*.f64 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 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))))
x
(+ (* x (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))
(fma.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) n) (*.f64 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) n)))
(+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 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))))
(+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(/ 1/6 (* n (* n n)))
(/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))
1/6
#s(literal 1/6 binary64)
(* n (* n n))
(*.f64 n (*.f64 n n))
n
(* n n)
(*.f64 n n)
(+ (/ 1/3 n) (/ -1/2 (* n n)))
(+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
1/3
#s(literal 1/3 binary64)
(/ -1/2 (* n n))
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
-1/2
#s(literal -1/2 binary64)
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))
(/ 1/2 (* n n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
1/2
#s(literal 1/2 binary64)
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
1
#s(literal 1 binary64)
(- 1 (pow x (/ 1 n)))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(+ (* (pow x (/ 1/2 n)) (neg (pow x (/ 1/2 n)))) (pow (+ x 1) (/ 1 n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow x (/ 1/2 n))
(pow.f64 x (/.f64 #s(literal 1/2 binary64) n))
x
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
1/2
#s(literal 1/2 binary64)
n
(neg (pow x (/ 1/2 n)))
(neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))
(pow (+ x 1) (/ 1 n))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)

localize544.0ms (2%)

Memory
30.8MiB live, 866.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1/2 binary64) n))
✓accuracy88.6%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓accuracy53.9%
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
✓accuracy95.8%
(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))))
✓accuracy84.9%
(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)))
✓accuracy44.3%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 x n))
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy54.2%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy44.3%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy98.9%
(pow.f64 (log.f64 x) #s(literal 3 binary64))
✓accuracy62.8%
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
✓accuracy62.8%
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
✓accuracy62.8%
(-.f64 (log.f64 x) (log1p.f64 x))
Samples
255.0ms95×2valid
178.0ms150×1valid
5.0ms11×0valid
Compiler

Compiled 483 to 57 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 367.0ms
ival-pow: 95.0ms (25.9% of total)
adjust: 93.0ms (25.4% of total)
const: 41.0ms (11.2% of total)
ival-div: 35.0ms (9.5% of total)
ival-add: 27.0ms (7.4% of total)
ival-mult: 23.0ms (6.3% of total)
ival-sub: 14.0ms (3.8% of total)
ival-log: 13.0ms (3.5% of total)
ival-log1p: 10.0ms (2.7% of total)
ival-pow2: 10.0ms (2.7% of total)
ival-neg: 4.0ms (1.1% of total)
exact: 1.0ms (0.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series67.0ms (0.2%)

Memory
-12.3MiB live, 156.2MiB allocated
Counts
22 → 432
Calls
Call 1
Inputs
#<alt (/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))>
#<alt (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))>
#<alt (- (log x) (log (+ 1 x)))>
#<alt (log x)>
#<alt (- 1 (pow x (/ 1 n)))>
#<alt (pow x (/ 1 n))>
#<alt (/ 1 n)>
#<alt (- (+ 1 (/ x n)) (pow x (/ 1 n)))>
#<alt (+ 1 (/ x n))>
#<alt (/ x n)>
#<alt (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))>
#<alt (+ (* x (+ (* x (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))) (- 1 (pow x (/ 1 n))))>
#<alt (+ (* x (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))>
#<alt (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))>
#<alt (+ (* (pow x (/ 1/2 n)) (neg (pow x (/ 1/2 n)))) (pow (+ x 1) (/ 1 n)))>
#<alt (pow x (/ 1/2 n))>
#<alt (/ 1/2 n)>
#<alt (neg (pow x (/ 1/2 n)))>
#<alt (- (pow (log (+ 1 x)) 2) (pow (log x) 2))>
#<alt (- (pow (log (+ 1 x)) 3) (pow (log x) 3))>
#<alt (pow (log x) 3)>
#<alt (pow (+ x 1) (/ 1 n))>
Outputs
#<alt (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))>
#<alt (+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n))>
#<alt (+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))>
#<alt (+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x))>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (/ 1 n)))) x)>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))))) x)>
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#<alt (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* 1/2 (/ (log x) n)))>
#<alt (exp (* 1/2 (/ (log x) n)))>
#<alt (exp (* 1/2 (/ (log x) n)))>
#<alt (exp (* 1/2 (/ (log x) n)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (log x) n)))>
#<alt (+ 1 (+ (* 1/8 (/ (pow (log x) 2) (pow n 2))) (* 1/2 (/ (log x) n))))>
#<alt (+ 1 (+ (* 1/48 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/8 (/ (pow (log x) 2) (pow n 2))) (* 1/2 (/ (log x) n)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (log x) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (log x)) (* -1/8 (/ (pow (log x) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (pow (log x) 3) n)) (* 1/8 (pow (log x) 2))) n)) (* -1/2 (log x))) n)))>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt (* -1 (exp (* -1/2 (/ (log (/ 1 x)) n))))>
#<alt (* -1 (exp (* -1/2 (/ (log (/ 1 x)) n))))>
#<alt (* -1 (exp (* -1/2 (/ (log (/ 1 x)) n))))>
#<alt (* -1 (exp (* -1/2 (/ (log (/ 1 x)) n))))>
#<alt (* -1 (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))>
#<alt (* -1 (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))>
#<alt (* -1 (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))>
#<alt (* -1 (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt -1>
#<alt (- (* -1/2 (/ (log x) n)) 1)>
#<alt (- (* -1/8 (/ (pow (log x) 2) (pow n 2))) (+ 1 (* 1/2 (/ (log x) n))))>
#<alt (- (* -1/48 (/ (pow (log x) 3) (pow n 3))) (+ 1 (+ (* 1/8 (/ (pow (log x) 2) (pow n 2))) (* 1/2 (/ (log x) n)))))>
#<alt -1>
#<alt (- (* -1/2 (/ (log x) n)) 1)>
#<alt (- (* -1 (/ (- (* 1/8 (/ (pow (log x) 2) n)) (* -1/2 (log x))) n)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1/48 (/ (pow (log x) 3) n)) (* 1/8 (pow (log x) 2))) n)) (* -1/2 (log x))) n)) 1)>
#<alt (* -1 (pow (log x) 2))>
#<alt (- (pow x 2) (pow (log x) 2))>
#<alt (- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))>
#<alt (- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))>
#<alt (* -2 (/ (log (/ 1 x)) x))>
#<alt (/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x)>
#<alt (/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x)>
#<alt (/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x)>
#<alt (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))>
#<alt (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))>
#<alt (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x))>
#<alt (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)))) x))) x))>
#<alt (* -1 (pow (log x) 3))>
#<alt (- (pow x 3) (pow (log x) 3))>
#<alt (- (* (pow x 3) (+ 1 (* -3/2 x))) (pow (log x) 3))>
#<alt (- (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2)))) (pow (log x) 3))>
#<alt (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) x)>
#<alt (/ (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) x)>
#<alt (/ (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow x 2))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (+ (* 2 (/ (log (/ 1 x)) (pow x 2))) (+ (* 2 (pow (log (/ 1 x)) 2)) (+ (/ 1 (pow x 2)) (pow (log (/ 1 x)) 2))))))))) x)>
#<alt (/ (- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -4/3 (/ (log (/ 1 x)) (pow x 3))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow x 3))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow x 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow x 3))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow x 3))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (+ (* 2 (/ (log (/ 1 x)) (pow x 2))) (+ (* 2 (pow (log (/ 1 x)) 2)) (+ (/ 1 (pow x 2)) (pow (log (/ 1 x)) 2))))))))))))) (/ 1 (pow x 3))) x)>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt 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)))>
Calls

108 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))
6.0ms
x
@inf
(+ (* x (+ (* x (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))) (- 1 (pow x (/ 1 n))))
4.0ms
x
@inf
(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))
2.0ms
n
@inf
(+ (* x (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))
2.0ms
n
@0
(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))

rewrite424.0ms (1.6%)

Memory
-7.9MiB live, 742.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 934×*-lowering-*.f32
4 934×*-lowering-*.f64
4 804×accelerator-lowering-fma.f32
4 804×accelerator-lowering-fma.f64
2 448×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056306
1444299
25101299
08166261
Stop Event
1×iter limit
1×node limit
Counts
22 → 646
Calls
Call 1
Inputs
(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))
(- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))
(- (log x) (log (+ 1 x)))
(log x)
(- 1 (pow x (/ 1 n)))
(pow x (/ 1 n))
(/ 1 n)
(- (+ 1 (/ x n)) (pow x (/ 1 n)))
(+ 1 (/ x n))
(/ x n)
(+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))
(+ (* x (+ (* x (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))) (- 1 (pow x (/ 1 n))))
(+ (* x (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))
(+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))
(+ (* (pow x (/ 1/2 n)) (neg (pow x (/ 1/2 n)))) (pow (+ x 1) (/ 1 n)))
(pow x (/ 1/2 n))
(/ 1/2 n)
(neg (pow x (/ 1/2 n)))
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(pow (log x) 3)
(pow (+ x 1) (/ 1 n))
Outputs
(+.f64 (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 n (neg.f64 n)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) n))
(-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 n (neg.f64 n))))
(-.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (+.f64 (log1p.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)))
(fma.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 n (neg.f64 n)))))
(neg.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) n))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n))) #s(literal 1 binary64)))
(/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))
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simplify482.0ms (1.8%)

Memory
30.6MiB live, 1 092.1MiB allocated
Algorithm
1×egg-herbie
Rules
7 722×accelerator-lowering-fma.f32
7 722×accelerator-lowering-fma.f64
7 134×+-lowering-+.f64
7 134×+-lowering-+.f32
4 964×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0123710094
138949368
091478799
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))
(/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x))
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (/ 1 n)))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/4 (/ 1 n)) (+ (* 1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) n)) (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) n)))) (pow x 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))))) x)
(/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) (* n x))
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(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))
(pow (log x) 3)
(pow (log x) 3)
(pow (log x) 3)
(pow (log x) 3)
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
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)))
Outputs
(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))
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(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))
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(/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x))
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(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))))) x)
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(/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) (* n x))
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(* -1 (/ (- (+ (* -1 (/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) n)) (/ 1/2 (* n x))) (+ (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))) (* n x))) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) (* n x))))) x))
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(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) 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 (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)) (/.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 (*.f64 x x)))) (/.f64 (exp.f64 (/.f64 (log.f64 x) 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 (neg.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)) (neg.f64 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 n n)) (/.f64 #s(literal -1/2 binary64) n)) (neg.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))) 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 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n (*.f64 n n))) (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
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n)) (log1p.f64 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) n)) n)) n))

eval364.0ms (1.4%)

Memory
-18.9MiB live, 676.0MiB allocated
Compiler

Compiled 55 402 to 4 012 computations (92.8% saved)

prune240.0ms (0.9%)

Memory
-7.9MiB live, 423.4MiB allocated
Pruning

35 alts after pruning (33 fresh and 2 done)

PrunedKeptTotal
New1 454281 482
Fresh5510
Picked325
Done000
Total1 462351 497
Accuracy
100.0%
Counts
1 497 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶34.4%
(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))
9.3%
(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))))
5.5%
(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) #s(literal 1 binary64)))
37.0%
(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)) (neg.f64 (/.f64 (log.f64 x) n)))
25.7%
(fma.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 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))))
23.1%
(fma.f64 x (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
34.5%
(/.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)
39.8%
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
57.8%
(/.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (neg.f64 n))) (neg.f64 n))
36.0%
(/.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))
7.4%
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
54.0%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
47.9%
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 n (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)))) (*.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 n (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n))))) (neg.f64 n))
44.4%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (neg.f64 x)) (neg.f64 n))
36.4%
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n) #s(literal 3 binary64))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))))
▶74.0%
(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (log.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) (/.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))
▶47.4%
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x))) n)
41.2%
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
36.0%
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (*.f64 (neg.f64 n) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n))) (*.f64 (neg.f64 n) (neg.f64 n)))
61.9%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
57.9%
(/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))
36.2%
(/.f64 (-.f64 x (log.f64 x)) n)
22.0%
(/.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))))
47.8%
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
9.5%
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
4.7%
(/.f64 x n)
57.9%
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n))))
▶15.6%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
15.5%
(-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓27.8%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
8.8%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
✓34.4%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶28.5%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
57.8%
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)))
35.8%
(neg.f64 (/.f64 (log.f64 x) n))
Compiler

Compiled 2 132 to 1 088 computations (49% saved)

simplify350.0ms (1.3%)

Memory
4.4MiB live, 526.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n))
✓cost-diff0
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x))) n)
✓cost-diff6144
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x))
✓cost-diff6912
(-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)))
✓cost-diff0
(neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) n)
✓cost-diff0
(pow.f64 x (/.f64 #s(literal 1/2 binary64) n))
✓cost-diff7488
(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))
✓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
(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (log.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) (/.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))
✓cost-diff192
(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (log.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) (/.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))
✓cost-diff512
(*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
✓cost-diff1216
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
Rules
11 264×accelerator-lowering-fma.f32
11 264×accelerator-lowering-fma.f64
3 454×*-lowering-*.f32
3 454×*-lowering-*.f64
2 226×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051474
1124459
2321457
3947448
43064448
08017392
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (log (/ x (/ 1 (+ x 1))))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))
(- (/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (log (/ x (/ 1 (+ x 1))))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))
(/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (log (/ x (/ 1 (+ x 1)))))
(- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x)))))
(pow (log x) 2)
(log x)
x
2
(* (neg (log (+ 1 x))) (neg (log (+ 1 x))))
(neg (log (+ 1 x)))
(log (+ 1 x))
(log (/ x (/ 1 (+ x 1))))
(/ x (/ 1 (+ x 1)))
(/ 1 (+ x 1))
1
(+ x 1)
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)
(+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n))
1/2
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(pow (log (+ 1 x)) 2)
(/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)
(* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
1/6
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(pow (log (+ 1 x)) 3)
3
(pow (log x) 3)
n
(neg n)
(- 1 1)
1
(- (pow (+ x 1) (/ 1 n)) 1)
(pow (+ x 1) (/ 1 n))
(+ x 1)
x
1
(/ 1 n)
n
(+ (* (pow x (/ 1/2 n)) (neg (pow x (/ 1/2 n)))) 1)
(pow x (/ 1/2 n))
x
(/ 1/2 n)
1/2
n
(neg (pow x (/ 1/2 n)))
1
(/ (- (/ (* -1/6 (pow (log x) 3)) (* n n)) (+ (* 1/2 (/ (pow (log x) 2) n)) (log x))) n)
(- (/ (* -1/6 (pow (log x) 3)) (* n n)) (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)))
(/ (* -1/6 (pow (log x) 3)) (* n n))
(* -1/6 (pow (log x) 3))
-1/6
(pow (log x) 3)
(log x)
x
3
(* n n)
n
(+ (* 1/2 (/ (pow (log x) 2) n)) (log x))
1/2
(/ (pow (log x) 2) n)
(pow (log x) 2)
2
Outputs
(/ (- (/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (log (/ x (/ 1 (+ x 1))))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))
(+.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 (fma.f64 x x x)) n)) (/.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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (*.f64 n n)))
(- (/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (log (/ x (/ 1 (+ x 1))))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))
(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log.f64 (fma.f64 x x 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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))
(/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (log (/ x (/ 1 (+ x 1)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log.f64 (fma.f64 x x x)))
(- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x)))))
(-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log x)
(log.f64 x)
x
2
#s(literal 2 binary64)
(* (neg (log (+ 1 x))) (neg (log (+ 1 x))))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(neg (log (+ 1 x)))
(neg.f64 (log1p.f64 x))
(log (+ 1 x))
(log1p.f64 x)
(log (/ x (/ 1 (+ x 1))))
(log.f64 (fma.f64 x x x))
(/ x (/ 1 (+ x 1)))
(fma.f64 x x x)
(/ 1 (+ x 1))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ x 1)
(+.f64 x #s(literal 1 binary64))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)
(/.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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)
(+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n))
(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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n)))
1/2
#s(literal 1/2 binary64)
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow (log (+ 1 x)) 2)
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))
(* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
(*.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))))
1/6
#s(literal 1/6 binary64)
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow (log (+ 1 x)) 3)
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
n
(neg n)
(neg.f64 n)
(- 1 1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(- (pow (+ x 1) (/ 1 n)) 1)
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64))
(pow (+ x 1) (/ 1 n))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(+ (* (pow x (/ 1/2 n)) (neg (pow x (/ 1/2 n)))) 1)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow x (/ 1/2 n))
(pow.f64 x (/.f64 #s(literal 1/2 binary64) n))
x
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
1/2
#s(literal 1/2 binary64)
n
(neg (pow x (/ 1/2 n)))
(neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))
1
#s(literal 1 binary64)
(/ (- (/ (* -1/6 (pow (log x) 3)) (* n n)) (+ (* 1/2 (/ (pow (log x) 2) n)) (log x))) n)
(/.f64 (*.f64 (log.f64 x) (fma.f64 (/.f64 (log.f64 x) n) (fma.f64 (log.f64 x) (/.f64 #s(literal -1/6 binary64) n) #s(literal -1/2 binary64)) #s(literal -1 binary64))) n)
(- (/ (* -1/6 (pow (log x) 3)) (* n n)) (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)))
(*.f64 (log.f64 x) (fma.f64 (/.f64 (log.f64 x) n) (fma.f64 (log.f64 x) (/.f64 #s(literal -1/6 binary64) n) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/ (* -1/6 (pow (log x) 3)) (* n n))
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 n n))
(* -1/6 (pow (log x) 3))
(*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(log x)
(log.f64 x)
x
3
#s(literal 3 binary64)
(* n n)
(*.f64 n n)
n
(+ (* 1/2 (/ (pow (log x) 2) n)) (log x))
(*.f64 (log.f64 x) (fma.f64 (log.f64 x) (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(/ (pow (log x) 2) n)
(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize447.0ms (1.7%)

Memory
36.3MiB live, 742.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.3%
(-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)))
✓accuracy99.1%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓accuracy98.9%
(pow.f64 (log.f64 x) #s(literal 3 binary64))
✓accuracy97.9%
(/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) n)
✓accuracy100.0%
(neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1/2 binary64) n))
✓accuracy44.3%
(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))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy88.6%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓accuracy48.2%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓accuracy81.5%
(log.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
✓accuracy62.8%
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
✓accuracy62.8%
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
✓accuracy62.8%
(-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))))
Samples
187.0ms101×2valid
164.0ms149×1valid
3.0ms2×3valid
2.0ms4×0valid
Compiler

Compiled 443 to 51 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 301.0ms
ival-pow: 71.0ms (23.6% of total)
ival-div: 44.0ms (14.6% of total)
ival-neg: 38.0ms (12.6% of total)
adjust: 36.0ms (12% of total)
ival-log: 25.0ms (8.3% of total)
ival-mult: 24.0ms (8% of total)
ival-sub: 19.0ms (6.3% of total)
ival-pow2: 12.0ms (4% of total)
const: 11.0ms (3.7% of total)
ival-add: 11.0ms (3.7% of total)
ival-log1p: 9.0ms (3% of total)
exact: 1.0ms (0.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series95.0ms (0.4%)

Memory
12.5MiB live, 200.8MiB allocated
Counts
23 → 396
Calls
Call 1
Inputs
#<alt (/ x (/ 1 (+ x 1)))>
#<alt (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))>
#<alt (/ (- (/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (log (/ x (/ 1 (+ x 1))))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))>
#<alt (- (/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (log (/ x (/ 1 (+ x 1))))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))>
#<alt (- 1 1)>
#<alt (- (pow (+ x 1) (/ 1 n)) 1)>
#<alt (pow (+ x 1) (/ 1 n))>
#<alt (+ x 1)>
#<alt (/ 1 n)>
#<alt (+ (* (pow x (/ 1/2 n)) (neg (pow x (/ 1/2 n)))) 1)>
#<alt (pow x (/ 1/2 n))>
#<alt (/ 1/2 n)>
#<alt (neg (pow x (/ 1/2 n)))>
#<alt (- (/ (* -1/6 (pow (log x) 3)) (* n n)) (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)))>
#<alt (+ (* 1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (/ (- (/ (* -1/6 (pow (log x) 3)) (* n n)) (+ (* 1/2 (/ (pow (log x) 2) n)) (log x))) n)>
#<alt (/ (* -1/6 (pow (log x) 3)) (* n n))>
#<alt (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x)))))>
#<alt (- (pow (log (+ 1 x)) 2) (pow (log x) 2))>
#<alt (- (pow (log (+ 1 x)) 3) (pow (log x) 3))>
#<alt (log (/ x (/ 1 (+ x 1))))>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 2)>
Outputs
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 x)))>
#<alt (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1))))>
#<alt (* (pow x 2) (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1))))>
#<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 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))>
#<alt (+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n))>
#<alt (+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))>
#<alt (+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x))>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (* x (log (/ 1 x)))))) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) (* n x))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (/ 1/2 (* n (* x (log (/ 1 x))))) (/ 1 n))))))) x)>
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#<alt (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))>
#<alt (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x))>
#<alt (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)))) x))) x))>
#<alt (* -1 (pow (log x) 3))>
#<alt (- (pow x 3) (pow (log x) 3))>
#<alt (- (* (pow x 3) (+ 1 (* -3/2 x))) (pow (log x) 3))>
#<alt (- (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2)))) (pow (log x) 3))>
#<alt (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) x)>
#<alt (/ (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) x)>
#<alt (/ (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow x 2))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (+ (* 2 (/ (log (/ 1 x)) (pow x 2))) (+ (* 2 (pow (log (/ 1 x)) 2)) (+ (/ 1 (pow x 2)) (pow (log (/ 1 x)) 2))))))))) x)>
#<alt (/ (- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -4/3 (/ (log (/ 1 x)) (pow x 3))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow x 3))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow x 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow x 3))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow x 3))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (+ (* 2 (/ (log (/ 1 x)) (pow x 2))) (+ (* 2 (pow (log (/ 1 x)) 2)) (+ (/ 1 (pow x 2)) (pow (log (/ 1 x)) 2))))))))))))) (/ 1 (pow x 3))) x)>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))>
#<alt (log x)>
#<alt (+ x (log x))>
#<alt (+ (log x) (* x (+ 1 (* -1/2 x))))>
#<alt (+ (log x) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))>
#<alt (* -2 (log (/ 1 x)))>
#<alt (+ (* -2 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -2 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (* -2 (log (/ -1 x)))>
#<alt (+ (* -2 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))>
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
Calls

99 calls:

TimeVariablePointExpression
23.0ms
x
@inf
(- (/ (* -1/6 (pow (log x) 3)) (* n n)) (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)))
13.0ms
n
@0
(/ (* -1/6 (pow (log x) 3)) (* n n))
9.0ms
x
@-inf
(/ (- (/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (log (/ x (/ 1 (+ x 1))))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))
9.0ms
x
@inf
(/ (- (/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (log (/ x (/ 1 (+ x 1))))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))
7.0ms
x
@-inf
(- (/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (log (/ x (/ 1 (+ x 1))))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))

rewrite452.0ms (1.7%)

Memory
-32.3MiB live, 714.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 174×*-lowering-*.f32
4 174×*-lowering-*.f64
4 112×/-lowering-/.f32
4 112×/-lowering-/.f64
3 964×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051287
1355270
23402248
09548219
Stop Event
1×iter limit
1×node limit
Counts
23 → 837
Calls
Call 1
Inputs
(/ x (/ 1 (+ x 1)))
(* (neg (log (+ 1 x))) (neg (log (+ 1 x))))
(/ (- (/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (log (/ x (/ 1 (+ x 1))))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))
(- (/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (log (/ x (/ 1 (+ x 1))))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))
(- 1 1)
(- (pow (+ x 1) (/ 1 n)) 1)
(pow (+ x 1) (/ 1 n))
(+ x 1)
(/ 1 n)
(+ (* (pow x (/ 1/2 n)) (neg (pow x (/ 1/2 n)))) 1)
(pow x (/ 1/2 n))
(/ 1/2 n)
(neg (pow x (/ 1/2 n)))
(- (/ (* -1/6 (pow (log x) 3)) (* n n)) (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)))
(+ (* 1/2 (/ (pow (log x) 2) n)) (log x))
(/ (- (/ (* -1/6 (pow (log x) 3)) (* n n)) (+ (* 1/2 (/ (pow (log x) 2) n)) (log x))) n)
(/ (* -1/6 (pow (log x) 3)) (* n n))
(- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x)))))
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(log (/ x (/ 1 (+ x 1))))
(pow (log x) 3)
(pow (log x) 2)
Outputs
(+.f64 x (*.f64 x x))
(+.f64 (*.f64 x x) x)
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x x))) #s(literal -1 binary64)))
(fma.f64 x x x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x)
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x)
(neg.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x x) #s(literal 1 binary64))
(/.f64 (neg.f64 (fma.f64 x x x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x x x))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (neg.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)))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 (log1p.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log1p.f64 x)))
(pow.f64 (exp.f64 (log.f64 (neg.f64 (log1p.f64 x)))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(*.f64 (log1p.f64 x) (log1p.f64 x))
(*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)) (log1p.f64 x))
(*.f64 (pow.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (log1p.f64 x))
(*.f64 (exp.f64 (log.f64 (neg.f64 (log1p.f64 x)))) (exp.f64 (log.f64 (neg.f64 (log1p.f64 x)))))
(+.f64 (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x 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))) (/.f64 #s(literal 1/6 binary64) n))) (*.f64 n (neg.f64 n)))))
(exp.f64 (*.f64 (log.f64 (/.f64 n (+.f64 (neg.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x 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))) (/.f64 #s(literal 1/6 binary64) n))) n)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x 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))) (/.f64 #s(literal 1/6 binary64) n))) n)) n))
(-.f64 (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x 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))) (/.f64 #s(literal 1/6 binary64) n))) (*.f64 n (neg.f64 n))))
(fma.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 x x x))) (neg.f64 n)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x 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))) (/.f64 #s(literal 1/6 binary64) n))) (*.f64 n (neg.f64 n)))))
(fma.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x 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))) (/.f64 #s(literal 1/6 binary64) n))) (*.f64 n (neg.f64 n)))))
(fma.f64 (/.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 x x x))) n) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x 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))) (/.f64 #s(literal 1/6 binary64) n))) (*.f64 n (neg.f64 n)))))
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(fma.f64 (pow.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64)))))
(/.f64 #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 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64))))))
(pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.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 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64))
(*.f64 (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64)))))
(*.f64 (-.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 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3/2 binary64)) (pow.f64 (log.f64 x) #s(literal 3/2 binary64))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3/2 binary64)) (pow.f64 (log.f64 x) #s(literal 3/2 binary64))))
(log.f64 (fma.f64 x x x))
(+.f64 (log1p.f64 x) (log.f64 x))
(+.f64 (log.f64 x) (log1p.f64 x))
(+.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
(+.f64 (log.f64 (/.f64 x #s(literal -1 binary64))) (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(-.f64 (log.f64 x) (neg.f64 (log1p.f64 x)))
(-.f64 (log.f64 (fma.f64 x x x)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (fma.f64 x x x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(-.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (*.f64 #s(literal 1 binary64) (-.f64 #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 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(-.f64 (log.f64 (neg.f64 (neg.f64 x))) (neg.f64 (log1p.f64 x)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 x) (log.f64 x))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 x)) (log.f64 x))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log1p.f64 x))
(fma.f64 (pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 1 binary64)) (log1p.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)) (log.f64 x))
(neg.f64 (neg.f64 (log.f64 (fma.f64 x x x))))
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64))))
(/.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (log.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (neg.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 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) (neg.f64 (log1p.f64 x))))))
(/.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) (neg.f64 (log1p.f64 x)))))))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (fma.f64 x x x))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64) (*.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64))))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log.f64 x)))
(*.f64 (log.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 x))
(*.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) (pow.f64 (log.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 x))

simplify1.0s (3.8%)

Memory
-9.5MiB live, 377.6MiB allocated
Algorithm
1×egg-herbie
Rules
8 254×accelerator-lowering-fma.f32
8 254×accelerator-lowering-fma.f64
7 204×+-lowering-+.f64
7 204×+-lowering-+.f32
5 006×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0123812803
1386111869
0911311178
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(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 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))
(/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x))
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(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* -1/2 x))))
(+ (log x) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (/ 1 x))
(- (+ (* -2 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(* -2 (log (/ -1 x)))
(+ (* -2 (log (/ -1 x))) (/ 1 x))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))
(pow (log x) 3)
(pow (log x) 3)
(pow (log x) 3)
(pow (log x) 3)
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
Outputs
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(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 (*.f64 x 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))
(fma.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(+ (* -2 (/ (log (/ 1 x)) x)) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2))))
(fma.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (log.f64 x) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(- (+ (* -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 (fma.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (log.f64 x) x)) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.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 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.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 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.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 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))
(/.f64 (-.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)))) (neg.f64 n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n))
(-.f64 (/.f64 x n) (/.f64 (-.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)))) n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))
(-.f64 (*.f64 x (fma.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1 binary64) n))) (/.f64 (-.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)))) n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))
(fma.f64 x (fma.f64 x (neg.f64 (fma.f64 x (-.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 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal 1 binary64) n)) (/.f64 (-.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)))) (neg.f64 n)))
(/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (*.f64 x n))
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (* x (log (/ 1 x)))))) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) (* n x))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (/ 1/2 (* n (* x (log (/ 1 x))))) (/ 1 n))))))) x)
(/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n n)) (+.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (*.f64 x n) (neg.f64 (log.f64 x)))) (+.f64 (fma.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n)) (fma.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n n)) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)))) (*.f64 x n)) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (*.f64 n n)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x n) (neg.f64 (log.f64 x)))))) (/.f64 #s(literal 1 binary64) n)))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (log (/ 1 x)))) (* 3/8 (/ 1 (log (/ 1 x)))))) (* n (log (/ 1 x))))) (* 1/4 (/ 1 (* n (log (/ 1 x)))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 x))))) (* n (log (/ 1 x))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 x))) 1) (* n (log (/ 1 x))))) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) n)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) n)))))) (pow x 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (* x (log (/ 1 x)))))) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) (* n x))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (/ 1/2 (* n (* x (log (/ 1 x))))) (/ 1 n)))))))) x)
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(fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))
(- (+ (* -2 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* -2 (log (/ -1 x)))
(*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -2 (log (/ -1 x))) (/ 1 x))
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))
(-.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) x))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 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 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))

eval405.0ms (1.5%)

Memory
17.4MiB live, 210.2MiB allocated
Compiler

Compiled 61 113 to 5 206 computations (91.5% saved)

prune230.0ms (0.9%)

Memory
22.5MiB live, 223.2MiB allocated
Pruning

35 alts after pruning (31 fresh and 4 done)

PrunedKeptTotal
New1 460181 478
Fresh151328
Picked325
Done022
Total1 478351 513
Accuracy
100.0%
Counts
1 513 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓34.4%
(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))
37.0%
(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)) (neg.f64 (/.f64 (log.f64 x) n)))
34.5%
(/.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)
41.2%
(/.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))
39.8%
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
57.8%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 x x x))) (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x 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))) (/.f64 #s(literal 1/6 binary64) n))) (neg.f64 n))) (neg.f64 n))
36.0%
(/.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))
7.4%
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
▶24.3%
(/.f64 (fma.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 x) n)) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n (*.f64 n n)))
54.0%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
26.8%
(/.f64 (/.f64 (fma.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 x) n)) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n n)) n)
44.4%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (neg.f64 x)) (neg.f64 n))
▶74.0%
(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (log.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))
49.7%
(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (log.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) x) (/.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))
35.8%
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 9 binary64)) #s(literal -1/216 binary64)) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (pow.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n) (log.f64 x)) #s(literal 3 binary64))) (*.f64 n (fma.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n) (log.f64 x)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1/6 binary64) (*.f64 n n)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n) (log.f64 x))) (*.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 n n)) #s(literal 2 binary64))))))
✓47.4%
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x))) n)
47.0%
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (/.f64 (fma.f64 (log.f64 x) n (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n)) n)
57.9%
(/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x 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))) (/.f64 #s(literal 1/6 binary64) n))) n)) (neg.f64 n))
▶61.9%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
36.2%
(/.f64 (-.f64 x (log.f64 x)) n)
22.0%
(/.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))))
9.5%
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
35.8%
(/.f64 (neg.f64 (log.f64 x)) n)
5.4%
(/.f64 (log1p.f64 x) n)
4.7%
(/.f64 x n)
47.8%
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) (log.f64 x))))
15.5%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
✓27.8%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
8.8%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
✓34.4%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
47.7%
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) (log.f64 x)))
▶5.5%
(*.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
7.9%
(*.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)))
11.4%
(expm1.f64 (/.f64 (log1p.f64 x) n))
▶28.5%
#s(literal 0 binary64)
Compiler

Compiled 1 644 to 950 computations (42.2% saved)

simplify339.0ms (1.3%)

Memory
-10.3MiB live, 466.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
✓cost-diff0
(fma.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 x) n)) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
✓cost-diff0
(/.f64 (fma.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 x) n)) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n (*.f64 n n)))
✓cost-diff6464
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 x) n))
✓cost-diff0
(log.f64 x)
✓cost-diff0
(log1p.f64 x)
✓cost-diff0
(-.f64 (log1p.f64 x) (log.f64 x))
✓cost-diff0
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓cost-diff0
(+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))
✓cost-diff0
(fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
✓cost-diff192
(*.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
✓cost-diff448
(fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
✓cost-diff128
(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (log.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))
✓cost-diff512
(*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
✓cost-diff7872
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (log.f64 x))
✓cost-diff26624
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (log.f64 x)))
Rules
7 006×accelerator-lowering-fma.f32
7 006×accelerator-lowering-fma.f64
3 234×*-lowering-*.f32
3 234×*-lowering-*.f64
2 052×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060599
1159599
2439593
31511556
44665556
08277488
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (+ (* (sqrt (log (+ 1 x))) (sqrt (log (+ 1 x)))) (log x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))
(- (/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (+ (* (sqrt (log (+ 1 x))) (sqrt (log (+ 1 x)))) (log x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))
(/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (+ (* (sqrt (log (+ 1 x))) (sqrt (log (+ 1 x)))) (log x)))
(- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x)))))
(pow (log x) 2)
(log x)
x
2
(* (neg (log (+ 1 x))) (neg (log (+ 1 x))))
(neg (log (+ 1 x)))
(log (+ 1 x))
(+ (* (sqrt (log (+ 1 x))) (sqrt (log (+ 1 x)))) (log x))
(sqrt (log (+ 1 x)))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)
(+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n))
1/2
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(pow (log (+ 1 x)) 2)
(/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)
(* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
1/6
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(pow (log (+ 1 x)) 3)
3
(pow (log x) 3)
n
(neg n)
0
(* x (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)))
x
(+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n))
(+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))
(+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n)))
(+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))
(/ 1/6 (* n (* n n)))
1/6
(* n (* n n))
n
(* n n)
(+ (/ 1/3 n) (/ -1/2 (* n n)))
(/ 1/3 n)
1/3
(/ -1/2 (* n n))
-1/2
(/ 1/2 (* n n))
1/2
(/ -1/2 n)
(/ 1 n)
1
(/ (- (log (+ 1 x)) (log x)) n)
(- (log (+ 1 x)) (log x))
(log (+ 1 x))
x
(log x)
n
(/ (+ (* n (- (* -1/2 (pow (log x) 2)) (* (log x) n))) (* -1/6 (pow (log x) 3))) (* n (* n n)))
(+ (* n (- (* -1/2 (pow (log x) 2)) (* (log x) n))) (* -1/6 (pow (log x) 3)))
n
(- (* -1/2 (pow (log x) 2)) (* (log x) n))
(* -1/2 (pow (log x) 2))
-1/2
(pow (log x) 2)
(log x)
x
2
(* (log x) n)
(* -1/6 (pow (log x) 3))
-1/6
(pow (log x) 3)
3
(* n (* n n))
(* n n)
Outputs
(/ (- (/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (+ (* (sqrt (log (+ 1 x))) (sqrt (log (+ 1 x)))) (log x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))
(/.f64 (+.f64 (/.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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (-.f64 (log1p.f64 x) (log.f64 x))) n)
(- (/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (+ (* (sqrt (log (+ 1 x))) (sqrt (log (+ 1 x)))) (log x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) n))) n) (-.f64 (log.f64 x) (log1p.f64 x)))
(/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (+ (* (sqrt (log (+ 1 x))) (sqrt (log (+ 1 x)))) (log x)))
(-.f64 (log.f64 x) (log1p.f64 x))
(- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x)))))
(-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log x)
(log.f64 x)
x
2
#s(literal 2 binary64)
(* (neg (log (+ 1 x))) (neg (log (+ 1 x))))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(neg (log (+ 1 x)))
(neg.f64 (log1p.f64 x))
(log (+ 1 x))
(log1p.f64 x)
(+ (* (sqrt (log (+ 1 x))) (sqrt (log (+ 1 x)))) (log x))
(+.f64 (log.f64 x) (log1p.f64 x))
(sqrt (log (+ 1 x)))
(sqrt.f64 (log1p.f64 x))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)
(/.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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)
(+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n))
(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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n)))
1/2
#s(literal 1/2 binary64)
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow (log (+ 1 x)) 2)
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))
(* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
(*.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))))
1/6
#s(literal 1/6 binary64)
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow (log (+ 1 x)) 3)
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
n
(neg n)
(neg.f64 n)
0
#s(literal 0 binary64)
(* x (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)))
(fma.f64 (fma.f64 x (/.f64 #s(literal 1/3 binary64) n) (fma.f64 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) (*.f64 x x) (*.f64 (/.f64 x n) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
x
(+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n))
(fma.f64 x (fma.f64 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/3 binary64)) n)) (fma.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 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))))
(+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n)))
(fma.f64 x (/.f64 #s(literal 1/3 binary64) n) (fma.f64 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))
(+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))
(+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(/ 1/6 (* n (* n n)))
(/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))
1/6
#s(literal 1/6 binary64)
(* n (* n n))
(*.f64 n (*.f64 n n))
n
(* n n)
(*.f64 n n)
(+ (/ 1/3 n) (/ -1/2 (* n n)))
(+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
1/3
#s(literal 1/3 binary64)
(/ -1/2 (* n n))
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
-1/2
#s(literal -1/2 binary64)
(/ 1/2 (* n n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
1/2
#s(literal 1/2 binary64)
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
1
#s(literal 1 binary64)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(- (log (+ 1 x)) (log x))
(-.f64 (log1p.f64 x) (log.f64 x))
(log (+ 1 x))
(log1p.f64 x)
x
(log x)
(log.f64 x)
n
(/ (+ (* n (- (* -1/2 (pow (log x) 2)) (* (log x) n))) (* -1/6 (pow (log x) 3))) (* n (* n n)))
(/.f64 (fma.f64 (*.f64 (log.f64 x) n) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n)) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 n (*.f64 n n)))
(+ (* n (- (* -1/2 (pow (log x) 2)) (* (log x) n))) (* -1/6 (pow (log x) 3)))
(fma.f64 (*.f64 (log.f64 x) n) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n)) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)))
n
(- (* -1/2 (pow (log x) 2)) (* (log x) n))
(*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n)))
(* -1/2 (pow (log x) 2))
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log x)
(log.f64 x)
x
2
#s(literal 2 binary64)
(* (log x) n)
(*.f64 (log.f64 x) n)
(* -1/6 (pow (log x) 3))
(*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* n (* n n))
(*.f64 n (*.f64 n n))
(* n n)
(*.f64 n n)

localize294.0ms (1.1%)

Memory
-11.7MiB live, 744.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
✓accuracy99.1%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓accuracy98.9%
(pow.f64 (log.f64 x) #s(literal 3 binary64))
✓accuracy56.7%
(/.f64 (fma.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 x) n)) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n (*.f64 n n)))
✓accuracy100.0%
(log1p.f64 x)
✓accuracy100.0%
(log.f64 x)
✓accuracy99.7%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓accuracy62.8%
(-.f64 (log1p.f64 x) (log.f64 x))
✓accuracy98.3%
(*.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
✓accuracy95.8%
(fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.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))))
✓accuracy84.9%
(fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
✓accuracy98.9%
(pow.f64 (log.f64 x) #s(literal 3 binary64))
✓accuracy62.8%
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
✓accuracy62.8%
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
✓accuracy62.8%
(-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))))
Samples
95.0ms91×1valid
74.0ms157×0valid
13.0ms8×2valid
Compiler

Compiled 580 to 61 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-mult: 27.0ms (19.2% of total)
ival-div: 25.0ms (17.7% of total)
const: 13.0ms (9.2% of total)
ival-log: 12.0ms (8.5% of total)
ival-add: 12.0ms (8.5% of total)
adjust: 11.0ms (7.8% of total)
ival-sub: 10.0ms (7.1% of total)
ival-log1p: 9.0ms (6.4% of total)
ival-pow: 8.0ms (5.7% of total)
ival-pow2: 8.0ms (5.7% of total)
ival-neg: 2.0ms (1.4% of total)
ival-sqrt: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series81.0ms (0.3%)

Memory
6.2MiB live, 162.5MiB allocated
Counts
23 → 384
Calls
Call 1
Inputs
#<alt (/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (+ (* (sqrt (log (+ 1 x))) (sqrt (log (+ 1 x)))) (log x)))>
#<alt (+ (* (sqrt (log (+ 1 x))) (sqrt (log (+ 1 x)))) (log x))>
#<alt (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))>
#<alt (/ (- (/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (+ (* (sqrt (log (+ 1 x))) (sqrt (log (+ 1 x)))) (log x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))>
#<alt (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n)))>
#<alt (* x (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)))>
#<alt (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n))>
#<alt (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (- (log (+ 1 x)) (log x))>
#<alt (log (+ 1 x))>
#<alt (log x)>
#<alt (- (* -1/2 (pow (log x) 2)) (* (log x) n))>
#<alt (/ (+ (* n (- (* -1/2 (pow (log x) 2)) (* (log x) n))) (* -1/6 (pow (log x) 3))) (* n (* n n)))>
#<alt (+ (* n (- (* -1/2 (pow (log x) 2)) (* (log x) n))) (* -1/6 (pow (log x) 3)))>
#<alt (* -1/2 (pow (log x) 2))>
#<alt (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x)))))>
#<alt (- (pow (log (+ 1 x)) 2) (pow (log x) 2))>
#<alt (- (pow (log (+ 1 x)) 3) (pow (log x) 3))>
#<alt (pow (log x) 3)>
#<alt (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))>
#<alt (pow (log x) 2)>
#<alt (* -1/6 (pow (log x) 3))>
Outputs
#<alt (log x)>
#<alt (+ (log x) (* -1 x))>
#<alt (+ (log x) (* x (- (* 1/2 x) 1)))>
#<alt (+ (log x) (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))>
#<alt (/ -1 x)>
#<alt (/ (- (* 1/2 (/ (+ 1 (log (/ 1 x))) (* x (log (/ 1 x))))) (+ 1 (/ 1/2 (* x (log (/ 1 x)))))) x)>
#<alt (/ (- (+ (* -1/2 (/ (- 1 (* -2/3 (log (/ 1 x)))) (* (pow x 2) (log (/ 1 x))))) (+ (* 1/2 (/ (+ 1 (log (/ 1 x))) (* x (log (/ 1 x))))) (* 1/4 (/ 1 (* (pow x 2) (log (/ 1 x))))))) (+ 1 (+ (* -1/2 (/ (- (* 1/2 (/ (+ 1 (log (/ 1 x))) (log (/ 1 x)))) (* 1/2 (/ 1 (log (/ 1 x))))) (* (pow x 2) (log (/ 1 x))))) (/ 1/2 (* x (log (/ 1 x))))))) x)>
#<alt (/ (- (+ (* -1/2 (/ (- 1 (* -2/3 (log (/ 1 x)))) (* (pow x 2) (log (/ 1 x))))) (+ (* 1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 x)))) (* (pow x 3) (log (/ 1 x))))) (+ (* 1/2 (/ (+ 1 (log (/ 1 x))) (* x (log (/ 1 x))))) (* 1/4 (/ 1 (* (pow x 2) (log (/ 1 x)))))))) (+ 1 (+ (* -1/2 (/ (- (* 1/2 (/ (+ 1 (log (/ 1 x))) (log (/ 1 x)))) (* 1/2 (/ 1 (log (/ 1 x))))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (- (+ (* -1/2 (/ (- 1 (* -2/3 (log (/ 1 x)))) (log (/ 1 x)))) (* 1/4 (/ 1 (log (/ 1 x))))) (* -1/2 (/ (- (* 1/2 (/ (+ 1 (log (/ 1 x))) (log (/ 1 x)))) (* 1/2 (/ 1 (log (/ 1 x))))) (log (/ 1 x))))) (* (pow x 3) (log (/ 1 x))))) (+ (* 1/4 (/ (- (* 1/2 (/ (+ 1 (log (/ 1 x))) (log (/ 1 x)))) (* 1/2 (/ 1 (log (/ 1 x))))) (* (pow x 3) (log (/ 1 x))))) (+ (/ 1/6 (* (pow x 3) (log (/ 1 x)))) (/ 1/2 (* x (log (/ 1 x)))))))))) x)>
#<alt (* -2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* x (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))) (* -2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow (+ (* -2 (log (/ -1 x))) (* 2 (log -1))) 2)))) x)) (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))) (* -1 (/ (- (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow (+ (* -2 (log (/ -1 x))) (* 2 (log -1))) 2))) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))) (* -2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow (+ (* -2 (log (/ -1 x))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))))) x))) (* -2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow (+ (* -2 (log (/ -1 x))) (* 2 (log -1))) 2)))) x)) (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) x))>
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Calls

96 calls:

TimeVariablePointExpression
18.0ms
x
@-inf
(/ (- (/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (+ (* (sqrt (log (+ 1 x))) (sqrt (log (+ 1 x)))) (log x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))
15.0ms
n
@0
(/ (- (log (+ 1 x)) (log x)) n)
14.0ms
n
@inf
(/ (- (log (+ 1 x)) (log x)) n)
2.0ms
x
@-inf
(/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (+ (* (sqrt (log (+ 1 x))) (sqrt (log (+ 1 x)))) (log x)))
1.0ms
x
@inf
(/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (+ (* (sqrt (log (+ 1 x))) (sqrt (log (+ 1 x)))) (log x)))

rewrite340.0ms (1.3%)

Memory
27.8MiB live, 614.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 078×*-lowering-*.f32
5 078×*-lowering-*.f64
4 392×accelerator-lowering-fma.f32
4 392×accelerator-lowering-fma.f64
2 458×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059359
1430323
24898312
08379274
Stop Event
1×iter limit
1×node limit
Counts
23 → 887
Calls
Call 1
Inputs
(/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (+ (* (sqrt (log (+ 1 x))) (sqrt (log (+ 1 x)))) (log x)))
(+ (* (sqrt (log (+ 1 x))) (sqrt (log (+ 1 x)))) (log x))
(* (neg (log (+ 1 x))) (neg (log (+ 1 x))))
(/ (- (/ (- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x))))) (+ (* (sqrt (log (+ 1 x))) (sqrt (log (+ 1 x)))) (log x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))
(+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n)))
(* x (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)))
(+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n))
(+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))
(/ (- (log (+ 1 x)) (log x)) n)
(- (log (+ 1 x)) (log x))
(log (+ 1 x))
(log x)
(- (* -1/2 (pow (log x) 2)) (* (log x) n))
(/ (+ (* n (- (* -1/2 (pow (log x) 2)) (* (log x) n))) (* -1/6 (pow (log x) 3))) (* n (* n n)))
(+ (* n (- (* -1/2 (pow (log x) 2)) (* (log x) n))) (* -1/6 (pow (log x) 3)))
(* -1/2 (pow (log x) 2))
(- (pow (log x) 2) (* (neg (log (+ 1 x))) (neg (log (+ 1 x)))))
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(pow (log x) 3)
(+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))
(pow (log x) 2)
(* -1/6 (pow (log x) 3))
Outputs
(log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))
(log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(log.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) x))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x))
(log.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(+.f64 (log.f64 x) (log1p.f64 x))
(+.f64 (log1p.f64 x) (log.f64 x))
(+.f64 (log1p.f64 x) (neg.f64 (neg.f64 (log.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))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(-.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))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(fma.f64 (log.f64 x) (/.f64 (log.f64 x) (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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 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))
(fma.f64 #s(literal 1 binary64) (log1p.f64 x) (neg.f64 (neg.f64 (log.f64 x))))
(fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x))
(fma.f64 (log1p.f64 x) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (log.f64 x))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (neg.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (neg.f64 (sqrt.f64 (log1p.f64 x))) (log.f64 x))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (neg.f64 (sqrt.f64 (log1p.f64 x))) (neg.f64 (neg.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) #s(literal 1 binary64)) (log.f64 x))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) #s(literal 1 binary64)) (neg.f64 (neg.f64 (log.f64 x))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 x) (log.f64 x))
(fma.f64 #s(literal -1 binary64) (log1p.f64 x) (neg.f64 (neg.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) (pow.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) #s(literal 1/2 binary64)) (log.f64 x))
(fma.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) (pow.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (log1p.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (neg.f64 (neg.f64 (log.f64 x))))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log.f64 x))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (neg.f64 (neg.f64 (log.f64 x))))
(fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (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 (/.f64 (pow.f64 (log.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)))) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(fma.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log1p.f64 x))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) #s(literal 1 binary64)) (sqrt.f64 (log1p.f64 x)) (log.f64 x))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) #s(literal 1 binary64)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (neg.f64 (log.f64 x))))
(fma.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (log1p.f64 x))) #s(literal 1 binary64)) (sqrt.f64 (log1p.f64 x)) (log.f64 x))
(fma.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (log1p.f64 x))) #s(literal 1 binary64)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (neg.f64 (log.f64 x))))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (log1p.f64 x) (log.f64 x))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (log1p.f64 x) (neg.f64 (neg.f64 (log.f64 x))))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (log1p.f64 x) (log.f64 x))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (log1p.f64 x) (neg.f64 (neg.f64 (log.f64 x))))
(fma.f64 (pow.f64 (pow.f64 (log1p.f64 x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (log1p.f64 x))) (log.f64 x))
(fma.f64 (pow.f64 (pow.f64 (log1p.f64 x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (log1p.f64 x))) (neg.f64 (neg.f64 (log.f64 x))))
(neg.f64 (neg.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(neg.f64 (/.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (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 (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 (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 (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) (neg.f64 (log.f64 (*.f64 x (+.f64 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))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 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))) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (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 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (*.f64 (neg.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log1p.f64 x) #s(literal 6 binary64))) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 (neg.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log1p.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.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 (neg.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 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -3 binary64))) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (*.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)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (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 (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log1p.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (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))
(*.f64 #s(literal 1 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)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (neg.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
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(/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal 1/9 binary64) (*.f64 n n))) (*.f64 (*.f64 n n) (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))))) (*.f64 (*.f64 n n) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal 1/9 binary64) (*.f64 n n)))))
(/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) (*.f64 (*.f64 n n) (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) (*.f64 n n)))))) (*.f64 (*.f64 n n) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)))
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(/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) (*.f64 n n)))) (*.f64 n (*.f64 n (neg.f64 n))) (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) #s(literal -1/6 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) (*.f64 n (*.f64 n (neg.f64 n)))))
(/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) (*.f64 n n)))) (*.f64 n n) (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) (/.f64 #s(literal 1/6 binary64) n))) (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) (*.f64 n n)))
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(/.f64 (neg.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 (-.f64 #s(literal 1/6 binary64) (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64)))) (*.f64 n (*.f64 n n))))) (neg.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64)))) (*.f64 n (*.f64 n n)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) #s(literal 3 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))) (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) (*.f64 n n))) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) (*.f64 n n)))) (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(pow.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64)))) (*.f64 n (*.f64 n n))) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 (-.f64 #s(literal 1/6 binary64) (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64)))) (*.f64 n (*.f64 n n))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n 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 (-.f64 #s(literal 1/6 binary64) (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64)))) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 n n) #s(literal 1/3 binary64)))) (*.f64 n (*.f64 n n)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (log.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))
(*.f64 (log.f64 x) (log.f64 x))
(*.f64 (exp.f64 (log.f64 (log.f64 x))) (exp.f64 (log.f64 (log.f64 x))))
(*.f64 (pow.f64 (exp.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(*.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 x))
(*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3/2 binary64))) (pow.f64 (log.f64 x) #s(literal 3/2 binary64)))

simplify390.0ms (1.5%)

Memory
17.8MiB live, 527.9MiB allocated
Algorithm
1×egg-herbie
Rules
6 480×accelerator-lowering-fma.f32
6 480×accelerator-lowering-fma.f64
5 494×*-lowering-*.f32
5 494×*-lowering-*.f64
4 786×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124011730
1391011149
0832110495
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
(log x)
(+ (log x) (* -1 x))
(+ (log x) (* x (- (* 1/2 x) 1)))
(+ (log x) (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))
(/ -1 x)
(/ (- (* 1/2 (/ (+ 1 (log (/ 1 x))) (* x (log (/ 1 x))))) (+ 1 (/ 1/2 (* x (log (/ 1 x)))))) x)
(/ (- (+ (* -1/2 (/ (- 1 (* -2/3 (log (/ 1 x)))) (* (pow x 2) (log (/ 1 x))))) (+ (* 1/2 (/ (+ 1 (log (/ 1 x))) (* x (log (/ 1 x))))) (* 1/4 (/ 1 (* (pow x 2) (log (/ 1 x))))))) (+ 1 (+ (* -1/2 (/ (- (* 1/2 (/ (+ 1 (log (/ 1 x))) (log (/ 1 x)))) (* 1/2 (/ 1 (log (/ 1 x))))) (* (pow x 2) (log (/ 1 x))))) (/ 1/2 (* x (log (/ 1 x))))))) x)
(/ (- (+ (* -1/2 (/ (- 1 (* -2/3 (log (/ 1 x)))) (* (pow x 2) (log (/ 1 x))))) (+ (* 1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 x)))) (* (pow x 3) (log (/ 1 x))))) (+ (* 1/2 (/ (+ 1 (log (/ 1 x))) (* x (log (/ 1 x))))) (* 1/4 (/ 1 (* (pow x 2) (log (/ 1 x)))))))) (+ 1 (+ (* -1/2 (/ (- (* 1/2 (/ (+ 1 (log (/ 1 x))) (log (/ 1 x)))) (* 1/2 (/ 1 (log (/ 1 x))))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (- (+ (* -1/2 (/ (- 1 (* -2/3 (log (/ 1 x)))) (log (/ 1 x)))) (* 1/4 (/ 1 (log (/ 1 x))))) (* -1/2 (/ (- (* 1/2 (/ (+ 1 (log (/ 1 x))) (log (/ 1 x)))) (* 1/2 (/ 1 (log (/ 1 x))))) (log (/ 1 x))))) (* (pow x 3) (log (/ 1 x))))) (+ (* 1/4 (/ (- (* 1/2 (/ (+ 1 (log (/ 1 x))) (log (/ 1 x)))) (* 1/2 (/ 1 (log (/ 1 x))))) (* (pow x 3) (log (/ 1 x))))) (+ (/ 1/6 (* (pow x 3) (log (/ 1 x)))) (/ 1/2 (* x (log (/ 1 x)))))))))) x)
(* -2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* x (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))) (* -2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow (+ (* -2 (log (/ -1 x))) (* 2 (log -1))) 2)))) x)) (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) x))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))) (* -1 (/ (- (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow (+ (* -2 (log (/ -1 x))) (* 2 (log -1))) 2))) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))) (* -2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow (+ (* -2 (log (/ -1 x))) (* 2 (log -1))) 2)))) (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))))) x))) (* -2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow (+ (* -2 (log (/ -1 x))) (* 2 (log -1))) 2)))) x)) (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) x))
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(* -1/2 (pow (log x) 2))
(* -1/2 (pow (log x) 2))
(* -1/2 (pow (log x) 2))
(* -1/2 (pow (log x) 2))
(* -1/2 (pow (log (/ 1 x)) 2))
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(pow (log x) 2)
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(+ (* (pow x 2) (- x 1)) (pow (log x) 2))
(+ (* (pow x 2) (- (* x (+ 1 (* -11/12 x))) 1)) (pow (log x) 2))
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(/ (- (* -1 (/ (+ 1 (log (/ 1 x))) x)) (* -2 (log (/ 1 x)))) x)
(/ (- (/ 1 (pow x 2)) (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x))))) x)
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(* -2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) (* 11/12 (/ 1 x))) (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* -2 (+ (log -1) (* -1 (log (/ -1 x)))))) x))
(* -1 (pow (log x) 2))
(- (pow x 2) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))
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(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x)
(* 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))
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(/ (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow x 2))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (+ (* 2 (/ (log (/ 1 x)) (pow x 2))) (+ (* 2 (pow (log (/ 1 x)) 2)) (+ (/ 1 (pow x 2)) (pow (log (/ 1 x)) 2))))))))) x)
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(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))
(pow (log x) 3)
(pow (log x) 3)
(pow (log x) 3)
(pow (log x) 3)
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(/ 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))
(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)
(* -1/6 (pow (log x) 3))
(* -1/6 (pow (log x) 3))
(* -1/6 (pow (log x) 3))
(* -1/6 (pow (log x) 3))
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(* 1/6 (pow (log (/ 1 x)) 3))
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Outputs
(log x)
(log.f64 x)
(+ (log x) (* -1 x))
(-.f64 (log.f64 x) x)
(+ (log x) (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x))
(+ (log x) (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* 1/2 (/ (+ 1 (log (/ 1 x))) (* x (log (/ 1 x))))) (+ 1 (/ 1/2 (* x (log (/ 1 x)))))) x)
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (neg.f64 (*.f64 (log.f64 x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (log.f64 x) x)))) x)
(/ (- (+ (* -1/2 (/ (- 1 (* -2/3 (log (/ 1 x)))) (* (pow x 2) (log (/ 1 x))))) (+ (* 1/2 (/ (+ 1 (log (/ 1 x))) (* x (log (/ 1 x))))) (* 1/4 (/ 1 (* (pow x 2) (log (/ 1 x))))))) (+ 1 (+ (* -1/2 (/ (- (* 1/2 (/ (+ 1 (log (/ 1 x))) (log (/ 1 x)))) (* 1/2 (/ 1 (log (/ 1 x))))) (* (pow x 2) (log (/ 1 x))))) (/ 1/2 (* x (log (/ 1 x))))))) x)
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(/.f64 (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) #s(literal -3 binary64)) (neg.f64 x))
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(/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (-.f64 (neg.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x))) (neg.f64 x))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))
(/.f64 (-.f64 (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (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 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x)) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (neg.f64 x))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))
(/.f64 (-.f64 (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (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 (-.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 2/3 binary64) (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))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (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)) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (neg.f64 x))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(/ 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 #s(literal 1/3 binary64) 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 #s(literal 1/3 binary64) n #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 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) n)
(/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)
(/.f64 (+.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) (/.f64 #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))
(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))
(* -1/6 (pow (log x) 3))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(* -1/6 (pow (log x) 3))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(* -1/6 (pow (log x) 3))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(* -1/6 (pow (log x) 3))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(* 1/6 (pow (log (/ 1 x)) 3))
(*.f64 #s(literal 1/6 binary64) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(* 1/6 (pow (log (/ 1 x)) 3))
(*.f64 #s(literal 1/6 binary64) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(* 1/6 (pow (log (/ 1 x)) 3))
(*.f64 #s(literal 1/6 binary64) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(* 1/6 (pow (log (/ 1 x)) 3))
(*.f64 #s(literal 1/6 binary64) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(* -1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))
(* -1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))
(* -1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))
(* -1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))

eval290.0ms (1.1%)

Memory
17.7MiB live, 421.5MiB allocated
Compiler

Compiled 93 634 to 7 679 computations (91.8% saved)

prune270.0ms (1%)

Memory
5.5MiB live, 443.7MiB allocated
Pruning

39 alts after pruning (33 fresh and 6 done)

PrunedKeptTotal
New1 869241 893
Fresh17926
Picked235
Done134
Total1 889391 928
Accuracy
100.0%
Counts
1 928 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓34.4%
(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))
34.5%
(/.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)
41.2%
(/.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))
7.4%
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
✓24.3%
(/.f64 (fma.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 x) n)) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n (*.f64 n n)))
54.0%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
61.9%
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))) n)
43.4%
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
26.5%
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
26.4%
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)
43.4%
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
37.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
61.4%
(/.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 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
49.7%
(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (log.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) x) (/.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))
47.0%
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (/.f64 (fma.f64 (log.f64 x) n (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n)) n)
✓61.9%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
36.2%
(/.f64 (-.f64 x (log.f64 x)) n)
22.0%
(/.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))))
26.4%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
34.3%
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
34.8%
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) n)
13.9%
(/.f64 (*.f64 (neg.f64 (log.f64 x)) (*.f64 n n)) (*.f64 n (*.f64 n n)))
35.8%
(/.f64 (neg.f64 (log.f64 x)) n)
62.1%
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
58.3%
(/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) n)
4.7%
(/.f64 x n)
35.2%
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
36.9%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
✓27.8%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓34.4%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
24.3%
(*.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 n (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (log.f64 x) n)))) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))))
35.1%
(*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n))
16.5%
(*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))
4.3%
(*.f64 x (fma.f64 x (+.f64 (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 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
7.9%
(*.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)))
7.1%
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n))) n))
13.9%
(*.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))))
4.7%
(*.f64 x (/.f64 #s(literal 1 binary64) n))
✓28.5%
#s(literal 0 binary64)
Compiler

Compiled 2 850 to 809 computations (71.6% saved)

regimes96.0ms (0.4%)

Memory
11.6MiB live, 125.5MiB allocated
Counts
86 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n))) n))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) 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)))
(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) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.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)) n)
(-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) n)
(/.f64 (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 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (*.f64 (neg.f64 (log.f64 x)) (*.f64 n n)) (*.f64 n (*.f64 n n)))
(*.f64 x (fma.f64 x (+.f64 (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 #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 x x)) (*.f64 n (*.f64 n n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 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))))
(-.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)))
(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) 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)) (neg.f64 (/.f64 (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) 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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(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))
(/.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))))
(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 (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 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) 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 (neg.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) n)
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (neg.f64 x)) (neg.f64 n))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (fma.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 x) n)) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n (*.f64 n n)))
(*.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 n (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (log.f64 x) n)))) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))))
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
(/.f64 (/.f64 (fma.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 x) n)) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n n)) n)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x))) n)
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))) n)
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) (log.f64 x)))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (/.f64 (fma.f64 (log.f64 x) n (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n)) n)
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) (log.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 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))
(/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x 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))) (/.f64 #s(literal 1/6 binary64) n))) n)) (neg.f64 n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n))))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (*.f64 (neg.f64 n) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n))) (*.f64 (neg.f64 n) (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 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 x x x))) (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x 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))) (/.f64 #s(literal 1/6 binary64) n))) (neg.f64 n))) (neg.f64 n))
(/.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (neg.f64 n))) (neg.f64 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))
(-.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))))
(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (log.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) x) (/.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))
(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (log.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) x) (/.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))
(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (log.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) (/.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))
(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (log.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))
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 9 binary64)) #s(literal -1/216 binary64)) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (pow.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n) (log.f64 x)) #s(literal 3 binary64))) (*.f64 n (fma.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n) (log.f64 x)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1/6 binary64) (*.f64 n n)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n) (log.f64 x))) (*.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 n n)) #s(literal 2 binary64))))))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 n (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)))) (*.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 n (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n))))) (neg.f64 n))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n) #s(literal 3 binary64))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))))
Outputs
(/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x 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))) (/.f64 #s(literal 1/6 binary64) n))) n)) (neg.f64 n))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
Calls

4 calls:

25.0ms
n
24.0ms
x
24.0ms
(/.f64 #s(literal 1 binary64) n)
18.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
87.3%2x
86.4%3n
86.0%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
86.9%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes26.0ms (0.1%)

Memory
0.1MiB live, 35.3MiB allocated
Counts
70 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n))) n))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) 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)))
(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) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.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)) n)
(-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) n)
(/.f64 (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 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (*.f64 (neg.f64 (log.f64 x)) (*.f64 n n)) (*.f64 n (*.f64 n n)))
(*.f64 x (fma.f64 x (+.f64 (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 #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 x x)) (*.f64 n (*.f64 n n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 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))))
(-.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)))
(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) 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)) (neg.f64 (/.f64 (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) 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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(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))
(/.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))))
(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 (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 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) 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 (neg.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) n)
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (neg.f64 x)) (neg.f64 n))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (fma.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 x) n)) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n (*.f64 n n)))
(*.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 n (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (log.f64 x) n)))) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))))
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
(/.f64 (/.f64 (fma.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 x) n)) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n n)) n)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x))) n)
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))) n)
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) (log.f64 x)))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (/.f64 (fma.f64 (log.f64 x) n (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n)) n)
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) (log.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 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))
Outputs
(/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
Calls

1 calls:

22.0ms
x
Results
AccuracySegmentsBranch
87.3%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes271.0ms (1%)

Memory
-138.9MiB live, 35.0MiB allocated
Counts
69 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n))) n))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) 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)))
(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) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.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)) n)
(-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) n)
(/.f64 (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 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (*.f64 (neg.f64 (log.f64 x)) (*.f64 n n)) (*.f64 n (*.f64 n n)))
(*.f64 x (fma.f64 x (+.f64 (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 #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 x x)) (*.f64 n (*.f64 n n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 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))))
(-.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)))
(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) 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)) (neg.f64 (/.f64 (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) 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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(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))
(/.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))))
(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 (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 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) 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 (neg.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) n)
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (neg.f64 x)) (neg.f64 n))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (fma.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 x) n)) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n (*.f64 n n)))
(*.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 n (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (log.f64 x) n)))) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))))
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
(/.f64 (/.f64 (fma.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 x) n)) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n n)) n)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x))) n)
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))) n)
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) (log.f64 x)))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (/.f64 (fma.f64 (log.f64 x) n (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n)) n)
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) (log.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)
Outputs
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
Calls

1 calls:

267.0ms
x
Results
AccuracySegmentsBranch
85.7%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes48.0ms (0.2%)

Memory
12.2MiB live, 56.4MiB allocated
Counts
61 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n))) n))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) 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)))
(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) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.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)) n)
(-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) n)
(/.f64 (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 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (*.f64 (neg.f64 (log.f64 x)) (*.f64 n n)) (*.f64 n (*.f64 n n)))
(*.f64 x (fma.f64 x (+.f64 (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 #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 x x)) (*.f64 n (*.f64 n n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 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))))
(-.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)))
(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) 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)) (neg.f64 (/.f64 (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) 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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(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))
(/.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))))
(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 (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 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) 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 (neg.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) n)
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (neg.f64 x)) (neg.f64 n))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (fma.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 x) n)) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n (*.f64 n n)))
(*.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 n (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (log.f64 x) n)))) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))))
Outputs
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

2 calls:

29.0ms
x
16.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
86.8%3(/.f64 #s(literal 1 binary64) n)
80.7%3x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes50.0ms (0.2%)

Memory
-8.5MiB live, 65.6MiB allocated
Counts
51 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n))) n))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) 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)))
(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) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.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)) n)
(-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) n)
(/.f64 (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 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (*.f64 (neg.f64 (log.f64 x)) (*.f64 n n)) (*.f64 n (*.f64 n n)))
(*.f64 x (fma.f64 x (+.f64 (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 #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 x x)) (*.f64 n (*.f64 n n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 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))))
(-.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)))
(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) 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)) (neg.f64 (/.f64 (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) 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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(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))
(/.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))))
(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 (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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) 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)))
Calls

3 calls:

18.0ms
(/.f64 #s(literal 1 binary64) n)
16.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
14.0ms
n
Results
AccuracySegmentsBranch
82.1%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)))
83.0%4n
83.0%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes13.0ms (0.1%)

Memory
22.2MiB live, 22.2MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n))) n))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) 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)))
(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) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.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)) n)
(-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) n)
(/.f64 (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 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (*.f64 (neg.f64 (log.f64 x)) (*.f64 n n)) (*.f64 n (*.f64 n n)))
(*.f64 x (fma.f64 x (+.f64 (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 #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 x x)) (*.f64 n (*.f64 n n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 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))))
Outputs
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(fma.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 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))))
Calls

1 calls:

11.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
83.0%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes17.0ms (0.1%)

Memory
-16.4MiB live, 20.9MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n))) n))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) 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)))
(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) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.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)) n)
(-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) n)
(/.f64 (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 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (*.f64 (neg.f64 (log.f64 x)) (*.f64 n n)) (*.f64 n (*.f64 n n)))
(*.f64 x (fma.f64 x (+.f64 (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 #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 x x)) (*.f64 n (*.f64 n n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
Outputs
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(fma.f64 x (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
Calls

1 calls:

15.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
82.5%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes25.0ms (0.1%)

Memory
-15.9MiB live, 30.4MiB allocated
Counts
39 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n))) n))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) 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)))
(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) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.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)) n)
(-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) n)
(/.f64 (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 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (*.f64 (neg.f64 (log.f64 x)) (*.f64 n n)) (*.f64 n (*.f64 n n)))
(*.f64 x (fma.f64 x (+.f64 (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 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
Outputs
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))
Calls

2 calls:

12.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
11.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
79.9%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
83.4%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 20 to 12 computations (40% saved)

regimes11.0ms (0%)

Memory
18.9MiB live, 18.9MiB allocated
Counts
33 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n))) n))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) 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)))
(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) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.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)) n)
(-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
Outputs
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

10.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
83.3%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes39.0ms (0.1%)

Memory
-19.7MiB live, 57.1MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n))) n))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) 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)))
(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) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.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)) n)
(-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (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

4 calls:

10.0ms
(/.f64 #s(literal 1 binary64) n)
9.0ms
x
9.0ms
n
8.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
79.7%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
67.0%3x
70.7%4n
70.3%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes36.0ms (0.1%)

Memory
11.8MiB live, 49.9MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n))) n))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) 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)))
(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) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n))
Outputs
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
#s(literal 0 binary64)
Calls

4 calls:

10.0ms
n
9.0ms
x
9.0ms
(/.f64 #s(literal 1 binary64) n)
7.0ms
(-.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
66.2%3x
63.9%8n
63.5%7(/.f64 #s(literal 1 binary64) n)
53.9%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes8.0ms (0%)

Memory
14.4MiB live, 14.4MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n))) n))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
Outputs
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
#s(literal 0 binary64)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
65.6%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes29.0ms (0.1%)

Memory
-3.8MiB live, 37.9MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n))) n))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
Outputs
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n)
#s(literal 0 binary64)
Calls

4 calls:

9.0ms
x
7.0ms
(/.f64 #s(literal 1 binary64) n)
6.0ms
n
5.0ms
(-.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
43.4%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)))
43.4%1n
46.2%2(/.f64 #s(literal 1 binary64) n)
48.9%2x
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes20.0ms (0.1%)

Memory
-11.2MiB live, 27.2MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n))) n))
Outputs
(*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)
#s(literal 0 binary64)
Calls

4 calls:

6.0ms
(/.f64 #s(literal 1 binary64) n)
5.0ms
x
4.0ms
n
4.0ms
(-.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
41.0%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
46.5%4n
46.1%3(/.f64 #s(literal 1 binary64) n)
46.4%3x
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes8.0ms (0%)

Memory
14.6MiB live, 14.6MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
Outputs
#s(literal 0 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
Calls

2 calls:

4.0ms
x
4.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
44.2%2(/.f64 #s(literal 1 binary64) n)
47.1%4x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0%)

Memory
-27.6MiB live, 10.6MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
Outputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
Calls

2 calls:

3.0ms
x
3.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
42.4%2x
43.9%2(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0%)

Memory
26.4MiB live, 26.5MiB allocated
Accuracy

Total -15.9b remaining (-34.7%)

Threshold costs -15.9b (-34.7%)

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

4 calls:

2.0ms
(/.f64 #s(literal 1 binary64) n)
2.0ms
n
2.0ms
x
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
28.5%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)))
28.5%1x
28.5%1n
28.5%1(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch59.0ms (0.2%)

Memory
4.5MiB live, 40.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
56.0ms
411982.77601859806
12686355700.545492
Samples
25.0ms34×0valid
13.0ms39×2valid
9.0ms47×1valid
3.0ms8×3valid
1.0ms12×0exit
Compiler

Compiled 458 to 285 computations (37.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-pow: 15.0ms (65.9% of total)
adjust: 3.0ms (13.2% of total)
ival-div: 2.0ms (8.8% of total)
ival-sub: 1.0ms (4.4% of total)
ival-add: 1.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch45.0ms (0.2%)

Memory
6.9MiB live, 46.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
42.0ms
411982.77601859806
12686355700.545492
Samples
19.0ms59×1valid
9.0ms28×2valid
4.0ms11×3valid
2.0ms30×0valid
2.0ms18×0exit
Compiler

Compiled 458 to 293 computations (36% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-pow: 15.0ms (66.6% of total)
adjust: 3.0ms (13.3% of total)
ival-div: 2.0ms (8.9% of total)
ival-sub: 1.0ms (4.4% of total)
ival-add: 1.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch38.0ms (0.1%)

Memory
-25.3MiB live, 48.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
31.0ms
0.0030937147811621467
12.999512249124797
Samples
8.0ms26×2valid
8.0ms45×1valid
4.0ms54×0valid
1.0ms3×3valid
0.0ms1×0exit
Compiler

Compiled 322 to 213 computations (33.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-pow: 12.0ms (68.7% of total)
ival-div: 2.0ms (11.4% of total)
adjust: 2.0ms (11.4% of total)
ival-sub: 1.0ms (5.7% of total)
ival-add: 1.0ms (5.7% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.075615962525768e-11
1.1432450013673852e-9
0.0ms
-2.4684081062358796e-28
-1.7344022958482346e-30
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.075615962525768e-11
1.1432450013673852e-9
0.0ms
-2.4684081062358796e-28
-1.7344022958482346e-30
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
3.075615962525768e-11
1.1432450013673852e-9
0.0ms
-2.4684081062358796e-28
-1.7344022958482346e-30
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.075615962525768e-11
1.1432450013673852e-9
0.0ms
-2.4684081062358796e-28
-1.7344022958482346e-30
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.853977395936382e+123
3.8633764023094454e+147
0.0ms
3.075615962525768e-11
1.1432450013673852e-9
0.0ms
-2.4684081062358796e-28
-1.7344022958482346e-30
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
9.512807852634147e+112
1.0216298935114933e+122
0.0ms
3.075615962525768e-11
1.1432450013673852e-9
0.0ms
-2.4684081062358796e-28
-1.7344022958482346e-30
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
4.0501501041845245e-9
6.847195750392387e-7
0.0ms
-0.01626333878657049
-1.5543122344752192e-15
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch82.0ms (0.3%)

Memory
-12.3MiB live, 116.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
43.0ms
8.293958029045956e+116
1.3392758916558767e+119
33.0ms
0.0030937147811621467
12.999512249124797
Samples
41.0ms95×2valid
12.0ms66×1valid
7.0ms77×0valid
2.0ms22×0exit
1.0ms2×3valid
Compiler

Compiled 463 to 344 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-pow: 31.0ms (67.6% of total)
adjust: 5.0ms (10.9% of total)
ival-div: 4.0ms (8.7% of total)
ival-add: 3.0ms (6.5% of total)
ival-sub: 2.0ms (4.4% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch93.0ms (0.3%)

Memory
13.2MiB live, 90.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
59.0ms
8.293958029045956e+116
1.3392758916558767e+119
30.0ms
0.0030937147811621467
12.999512249124797
Samples
33.0ms90×2valid
26.0ms15×0exit
11.0ms60×1valid
7.0ms85×0valid
2.0ms5×3valid
0.0ms1×1exit
Compiler

Compiled 455 to 344 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-pow: 31.0ms (44% of total)
ival-div: 29.0ms (41.2% of total)
adjust: 5.0ms (7.1% of total)
ival-add: 2.0ms (2.8% of total)
ival-sub: 2.0ms (2.8% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch39.0ms (0.1%)

Memory
-1.2MiB live, 40.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
37.0ms
8.293958029045956e+116
1.3392758916558767e+119
Samples
21.0ms56×2valid
4.0ms22×1valid
3.0ms34×0valid
1.0ms14×0exit
Compiler

Compiled 172 to 132 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-pow: 16.0ms (65.7% of total)
adjust: 3.0ms (12.3% of total)
ival-div: 2.0ms (8.2% of total)
ival-add: 1.0ms (4.1% of total)
ival-sub: 1.0ms (4.1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch90.0ms (0.3%)

Memory
23.7MiB live, 98.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
54.0ms
8.293958029045956e+116
1.3392758916558767e+119
32.0ms
0.0030937147811621467
12.999512249124797
Samples
55.0ms102×2valid
8.0ms45×1valid
7.0ms87×0valid
4.0ms6×3valid
2.0ms21×0exit
Compiler

Compiled 378 to 272 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-pow: 52.0ms (78.2% of total)
adjust: 5.0ms (7.5% of total)
ival-div: 4.0ms (6% of total)
ival-add: 3.0ms (4.5% of total)
ival-sub: 3.0ms (4.5% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1260.0940253376098
-0.00012294870583969515
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
-1260.0940253376098
-0.00012294870583969515
Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify88.0ms (0.3%)

Memory
-11.1MiB live, 69.9MiB allocated
Algorithm
1×egg-herbie
Rules
728×distribute-lft-neg-in_binary64
410×neg-mul-1_binary64
394×neg-sub0_binary64
378×distribute-neg-in_binary64
310×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0170651
1241645
2324643
3426638
4599638
5819638
61088638
71397638
81741638
92131638
102337638
112410638
122425638
132429638
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 420000 binary64)) (/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x 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))) (/.f64 #s(literal 1/6 binary64) n))) n)) (neg.f64 n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(if (<=.f64 x #s(literal 700000 binary64)) (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(if (<=.f64 x #s(literal 1080863910568919/4503599627370496 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8920298079412249/44601490397061246283071436545296723011960832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8920298079412249/44601490397061246283071436545296723011960832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) 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)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8920298079412249/44601490397061246283071436545296723011960832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (fma.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 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))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8920298079412249/44601490397061246283071436545296723011960832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (fma.f64 x (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8920298079412249/44601490397061246283071436545296723011960832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1999999999999999955419939462808259340115968595189843154784166645324982581779679772155733117683015263369515044141902701002752 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8920298079412249/44601490397061246283071436545296723011960832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.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 -5764607523034235/576460752303423488 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 3022314549036573/604462909807314587353088 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 8106479329266893/9007199254740992 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 9999999999999999665649998943273759183241515094863428494587753284228752052274941196820382078490267674695111155514343424 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 70000000000000003258911848047426840676296307085154694766228016076225101615897340787222352499834237175059511267618193408 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 4999999999999999832824999471636879591620757547431714247293876642114376026137470598410191039245133837347555577757171712 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 1 binary64)) (*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 18000000000000000070093420751234029697067411341287454726751605082006614164091624443414249095330765428714448061407952896 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n) #s(literal 0 binary64)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1000 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) n))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1000 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
#s(literal 0 binary64)
Outputs
(if (<=.f64 x #s(literal 420000 binary64)) (/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x 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))) (/.f64 #s(literal 1/6 binary64) n))) n)) (neg.f64 n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(if (<=.f64 x #s(literal 420000 binary64)) (/.f64 (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (fma.f64 x x x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) n) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(if (<=.f64 x #s(literal 700000 binary64)) (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(if (<=.f64 x #s(literal 700000 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/6 binary64)) n)) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(if (<=.f64 x #s(literal 1080863910568919/4503599627370496 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(if (<=.f64 x #s(literal 1080863910568919/4503599627370496 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x)) n) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8920298079412249/44601490397061246283071436545296723011960832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8920298079412249/44601490397061246283071436545296723011960832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) 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)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8920298079412249/44601490397061246283071436545296723011960832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (fma.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 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))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8920298079412249/44601490397061246283071436545296723011960832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (fma.f64 x (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8920298079412249/44601490397061246283071436545296723011960832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1999999999999999955419939462808259340115968595189843154784166645324982581779679772155733117683015263369515044141902701002752 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8920298079412249/44601490397061246283071436545296723011960832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1999999999999999955419939462808259340115968595189843154784166645324982581779679772155733117683015263369515044141902701002752 binary64)) (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8920298079412249/44601490397061246283071436545296723011960832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.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 -5764607523034235/576460752303423488 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 3022314549036573/604462909807314587353088 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 8106479329266893/9007199254740992 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 9999999999999999665649998943273759183241515094863428494587753284228752052274941196820382078490267674695111155514343424 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 8106479329266893/9007199254740992 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 9999999999999999665649998943273759183241515094863428494587753284228752052274941196820382078490267674695111155514343424 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x) #s(literal 1 binary64)) x) n) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 70000000000000003258911848047426840676296307085154694766228016076225101615897340787222352499834237175059511267618193408 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 70000000000000003258911848047426840676296307085154694766228016076225101615897340787222352499834237175059511267618193408 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x) #s(literal 1 binary64)) x) n) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 4999999999999999832824999471636879591620757547431714247293876642114376026137470598410191039245133837347555577757171712 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) n) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 4999999999999999832824999471636879591620757547431714247293876642114376026137470598410191039245133837347555577757171712 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x) n) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 1 binary64)) (*.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 18000000000000000070093420751234029697067411341287454726751605082006614164091624443414249095330765428714448061407952896 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n) #s(literal 0 binary64)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1000 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) n))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1000 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
#s(literal 0 binary64)

soundness2.1s (7.7%)

Memory
10.0MiB live, 1 818.1MiB allocated
Rules
13 074×accelerator-lowering-fma.f32
13 074×accelerator-lowering-fma.f64
8 254×accelerator-lowering-fma.f32
8 254×accelerator-lowering-fma.f64
7 722×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124011730
1391011149
0832110495
051287
1355270
23402248
09548219
056306
1444299
25101299
08166261
0123710094
138949368
091478799
0831
15831
240231
3432431
0839927
059359
1430323
24898312
08379274
02631714
17611578
221161504
374551498
087361380
0123812803
1386111869
0911311178
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1 320 to 623 computations (52.8% saved)

preprocess158.0ms (0.6%)

Memory
13.5MiB live, 206.1MiB allocated
Compiler

Compiled 1 322 to 346 computations (73.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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