2log (problem 3.3.6)

Time bar (total: 8.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%3.2%96.8%0%0%0%0
100%3.2%0%96.8%0%0%0%1
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.6s (18.9%)

Memory
0.7MiB live, 1 394.3MiB allocated
Samples
1.1s6 421×1valid
104.0ms1 835×0valid
Precisions
Click to see histograms. Total time spent on operations: 978.0ms
ival-log1p: 495.0ms (50.6% of total)
ival-log: 231.0ms (23.6% of total)
adjust: 112.0ms (11.5% of total)
ival-sub: 76.0ms (7.8% of total)
ival->: 21.0ms (2.1% of total)
ival-<: 18.0ms (1.8% of total)
ival-and: 11.0ms (1.1% of total)
exact: 10.0ms (1% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain124.0ms (1.5%)

Memory
18.0MiB live, 216.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2470-1(18.484962602586968)(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
00-0-N
00-0-(log.f64 N)
00-0-(+.f64 N #s(literal 1 binary64))
00-0-(log.f64 (+.f64 N #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))cancellation2464
Confusion
Predicted +Predicted -
+2461
-09
Precision
1.0
Recall
0.9959514170040485
Confusion?
Predicted +Predicted MaybePredicted -
+24610
-036
Precision?
0.988
Recall?
1.0
Freqs
test
numberfreq
010
1246
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
67.0ms404×1valid
6.0ms108×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-log: 17.0ms (30.4% of total)
ival-log1p: 14.0ms (25% of total)
ival-assert: 10.0ms (17.9% of total)
adjust: 8.0ms (14.3% of total)
ival-sub: 4.0ms (7.1% of total)
ival-add: 3.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess19.0ms (0.2%)

Memory
0.1MiB live, 39.1MiB allocated
Algorithm
egg-herbie
Rules
80×lower-fma.f64
80×lower-fma.f32
48×lower-*.f64
48×lower-*.f32
46×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11817
24116
37316
412116
517816
620116
721216
067
0107
1157
2197
3257
4337
5487
6807
71067
81507
91657
101737
01735
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Outputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.5%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify7.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 N)
cost-diff0
(+.f64 N #s(literal 1 binary64))
cost-diff0
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
cost-diff192
(log.f64 (+.f64 N #s(literal 1 binary64)))
Rules
80×lower-fma.f64
80×lower-fma.f32
48×lower-*.f64
48×lower-*.f32
36×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
11518
21918
32518
43318
54818
68018
710618
815018
916518
1017318
017314
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(log.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(log.f64 N)
Outputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (+.f64 N #s(literal 1 binary64)))
(log1p.f64 N)
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
N
#s(literal 1 binary64)
(log.f64 N)

localize57.0ms (0.7%)

Memory
-30.3MiB live, 49.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 N #s(literal 1 binary64))
accuracy0
(log.f64 N)
accuracy0.0078125
(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy48.95911125637969
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Samples
47.0ms202×1valid
4.0ms54×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-add: 22.0ms (52.7% of total)
ival-log1p: 7.0ms (16.8% of total)
ival-log: 6.0ms (14.4% of total)
adjust: 4.0ms (9.6% of total)
ival-sub: 2.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series76.0ms (0.9%)

Memory
21.5MiB live, 57.9MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())
#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())
Outputs
#s(alt N (taylor 0 N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (* -1/2 N))) (taylor 0 N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (taylor 0 N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2)))) (taylor 0 N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log N)) (taylor 0 N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt (- N (log N)) (taylor 0 N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt (- (* N (+ 1 (* -1/2 N))) (log N)) (taylor 0 N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) (taylor 0 N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (log N) (taylor 0 N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (log N) (taylor 0 N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (log N) (taylor 0 N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (log N) (taylor 0 N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 N))) (taylor inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 N))) (/ 1 N)) (taylor inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2))) (taylor inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2))) (taylor inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 N) (taylor inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* 1/2 (/ 1 N))) N) (taylor inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N) (taylor inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N) (taylor inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt N (taylor inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 N))) (taylor inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 N))) (taylor inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 N))) (taylor inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 N))) (taylor inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 N)))) (taylor -inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N))) (taylor -inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))) (taylor -inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))) (taylor -inf N) (#s(alt (log.f64 (+.f64 N #s(literal 1 binary64))) (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 N) (taylor -inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) (taylor -inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) (taylor -inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N)) (taylor -inf N) (#s(alt (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt N (taylor -inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 N)))) (taylor -inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 N)))) (taylor -inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 N)))) (taylor -inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 N)))) (taylor -inf N) (#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
34.0ms
N
@inf
((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
24.0ms
N
@0
((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
18.0ms
N
@-inf
((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))

simplify153.0ms (1.9%)

Memory
12.7MiB live, 129.3MiB allocated
Algorithm
egg-herbie
Rules
11 472×lower-fma.f64
11 472×lower-fma.f32
2 762×lower-*.f64
2 762×lower-*.f32
2 058×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088330
1250302
2588301
31591295
44186287
56252287
67306287
08036278
Stop Event
iter limit
node limit
Counts
48 → 45
Calls
Call 1
Inputs
N
(* N (+ 1 (* -1/2 N)))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
(log N)
(log N)
(log N)
(log N)
(* -1 (log (/ 1 N)))
(+ (* -1 (log (/ 1 N))) (/ 1 N))
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (* -1 (log (/ -1 N))))
Outputs
N
(* N (+ 1 (* -1/2 N)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N)
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N)
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N)
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N) N (-.f64 N (log.f64 N)))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(log N)
(log.f64 N)
(log N)
(log.f64 N)
(log N)
(log.f64 N)
(log N)
(log.f64 N)
(* -1 (log (/ 1 N)))
(log.f64 N)
(+ (* -1 (log (/ 1 N))) (/ 1 N))
(-.f64 (log.f64 N) (/.f64 #s(literal -1 binary64) N))
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(-.f64 (log.f64 N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(-.f64 (log.f64 N) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) N))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)
N
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* -1 (log (/ 1 N)))
(log.f64 N)
(* -1 (log (/ 1 N)))
(log.f64 N)
(* -1 (log (/ 1 N)))
(log.f64 N)
(* -1 (log (/ 1 N)))
(log.f64 N)
(+ (log -1) (* -1 (log (/ -1 N))))
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))
(-.f64 (+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(-.f64 (+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
(-.f64 (+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) N))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)
N
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(+ (log -1) (* -1 (log (/ -1 N))))
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64)))

rewrite196.0ms (2.4%)

Memory
-1.1MiB live, 198.5MiB allocated
Rules
4 976×lower-/.f64
4 976×lower-/.f32
3 238×lower-*.f64
3 238×lower-*.f32
2 654×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
01015
14215
226915
3262715
0884612
Stop Event
iter limit
node limit
iter limit
Counts
4 → 425
Calls
Call 1
Inputs
(log.f64 (+.f64 N #s(literal 1 binary64)))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(+.f64 N #s(literal 1 binary64))
(log.f64 N)
Outputs
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 N)))
(pow.f64 (log1p.f64 N) #s(literal 1 binary64))
(log1p.f64 N)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))))
(neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64))))
(neg.f64 (neg.f64 (log1p.f64 N)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 N)) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 N)) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 N)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 N #s(literal 1 binary64))) (log.f64 (fma.f64 N N #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) (log1p.f64 (pow.f64 N #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))) (/.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))))
(-.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))))) (/.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))))) (/.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))))))
(-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))) (log1p.f64 (*.f64 N N)))
(-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64)))))
(-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))) (log.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))))
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))) (log.f64 (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)))) (log.f64 (fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64)))) (log.f64 (+.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 N #s(literal 1 binary64)))))
(-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))) (log.f64 (neg.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))))
(-.f64 (log.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal 9 binary64))) (log.f64 (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 N) N)) (log1p.f64 (neg.f64 N)))
(-.f64 (log.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64)))) (log1p.f64 (neg.f64 N)))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 N #s(literal 3 binary64)))) (log.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 N)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) (log1p.f64 (fma.f64 N N N)))
(+.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 N N N)))
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))))) (log.f64 (+.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))))) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)) (pow.f64 N #s(literal 4 binary64)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (log1p.f64 N))
(+.f64 (log.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))) (log1p.f64 N))
(+.f64 (neg.f64 (log.f64 (-.f64 N #s(literal 1 binary64)))) (log.f64 (fma.f64 N N #s(literal -1 binary64))))
(+.f64 (neg.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))) (log1p.f64 (pow.f64 N #s(literal 3 binary64))))
(+.f64 (log1p.f64 (*.f64 (neg.f64 N) N)) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(+.f64 (log.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 N #s(literal 3 binary64)))) (log.f64 (pow.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64))))
(+.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (log.f64 (-.f64 N #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (neg.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))
(+.f64 #s(literal 0 binary64) (log1p.f64 N))
(+.f64 (log1p.f64 N) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))
(+.f64 (log1p.f64 N) (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(+.f64 (log1p.f64 N) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 1 binary64)))
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(/.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) N))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(neg.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 N N) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) N) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 N N) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (*.f64 (-.f64 N #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) N)) (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N #s(literal 1 binary64))) (-.f64 N #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64)))) (-.f64 N #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 N)) #s(literal -1 binary64)))
(pow.f64 (log.f64 N) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 N))
(+.f64 (log.f64 N) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 N)))
(log.f64 N)

eval63.0ms (0.8%)

Memory
0.7MiB live, 119.2MiB allocated
Compiler

Compiled 12 638 to 1 563 computations (87.6% saved)

prune30.0ms (0.4%)

Memory
-4.5MiB live, 70.5MiB allocated
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New44822470
Fresh000
Picked101
Done000
Total44922471
Accuracy
99.6%
Counts
471 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.1%
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
25.0%
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
23.5%
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
24.5%
(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64))) (log.f64 N) (*.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))) (log.f64 N)))
24.5%
(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (log.f64 N) (*.f64 (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))) (log.f64 N)))
23.4%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
23.3%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))
23.5%
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
23.5%
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
23.3%
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))
23.5%
(-.f64 (log1p.f64 N) (log.f64 N))
23.4%
(*.f64 (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)))
23.4%
(*.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
23.5%
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
26.6%
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
26.2%
(neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
26.1%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
23.5%
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
96.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
92.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
84.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Compiler

Compiled 1 190 to 516 computations (56.6% saved)

simplify123.0ms (1.5%)

Memory
7.5MiB live, 198.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
cost-diff0
(-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
cost-diff0
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
cost-diff6080
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
cost-diff0
(log.f64 N)
cost-diff0
(+.f64 (log.f64 N) (log1p.f64 N))
cost-diff6080
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
cost-diff27008
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
cost-diff0
(/.f64 N (+.f64 #s(literal 1 binary64) N))
cost-diff0
(log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
cost-diff0
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
cost-diff704
(/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) N)
cost-diff0
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
cost-diff0
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
cost-diff0
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))
cost-diff0
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)
cost-diff0
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
Rules
8 008×lower-fma.f64
8 008×lower-fma.f32
3 888×lower-*.f32
3 880×lower-*.f64
2 584×lower-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046332
077336
1123336
2239302
3547302
41728302
56154302
08938302
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
N
#s(literal 1/3 binary64)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
(log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(/.f64 N (+.f64 #s(literal 1 binary64) N))
N
(+.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 N)
N
(log1p.f64 N)
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
(log1p.f64 N)
N
#s(literal 6 binary64)
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(log.f64 N)
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))
(+.f64 (log.f64 N) (log1p.f64 N))
#s(literal -1 binary64)
(+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
(*.f64 (log.f64 N) (log1p.f64 N))
#s(literal 2 binary64)
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
N
#s(literal 1/3 binary64)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
(/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(/.f64 N (+.f64 #s(literal 1 binary64) N))
(/.f64 N (+.f64 #s(literal 1 binary64) N))
N
(+.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log.f64 N) (log1p.f64 N))
(+.f64 (log1p.f64 N) (log.f64 N))
(log.f64 N)
N
(log1p.f64 N)
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))) (+.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (+.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
(log1p.f64 N)
N
#s(literal 6 binary64)
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(log.f64 N)
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))
(+.f64 (log.f64 N) (log1p.f64 N))
(+.f64 (log1p.f64 N) (log.f64 N))
#s(literal -1 binary64)
(+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))
(+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
(+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))
(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
(pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))
(*.f64 (log.f64 N) (log1p.f64 N))
(*.f64 (log1p.f64 N) (log.f64 N))
#s(literal 2 binary64)

localize311.0ms (3.8%)

Memory
-20.1MiB live, 267.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.9144443361065219
(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
accuracy1.1983948844403385
(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
accuracy1.221532323514359
(pow.f64 (log.f64 N) #s(literal 6 binary64))
accuracy47.92363229763561
(-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
accuracy0.28515625
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))
accuracy0.32259750976844204
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
accuracy0.34375
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
accuracy48.95911125637969
(-.f64 (log1p.f64 N) (log.f64 N))
accuracy0
(+.f64 #s(literal 1 binary64) N)
accuracy0
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
accuracy0.0078125
(/.f64 N (+.f64 #s(literal 1 binary64) N))
accuracy46.9756583044236
(log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
accuracy0
(/.f64 #s(literal 1 binary64) N)
accuracy9.789869667274562
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy0.08203125
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
accuracy0.14453125
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy0.34375
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy2.166952370290189
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
Samples
205.0ms186×1valid
35.0ms70×0valid
Compiler

Compiled 366 to 42 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 176.0ms
ival-pow2: 43.0ms (24.4% of total)
ival-pow: 29.0ms (16.4% of total)
ival-div: 19.0ms (10.8% of total)
adjust: 16.0ms (9.1% of total)
ival-log: 15.0ms (8.5% of total)
ival-sub: 13.0ms (7.4% of total)
ival-log1p: 12.0ms (6.8% of total)
ival-add: 10.0ms (5.7% of total)
ival-mult: 10.0ms (5.7% of total)
const: 6.0ms (3.4% of total)
ival-neg: 2.0ms (1.1% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series122.0ms (1.5%)

Memory
6.5MiB live, 82.2MiB allocated
Counts
25 → 300
Calls
Call 1
Inputs
#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N) (patch (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) (patch (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) N) (patch (/.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) (patch (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) (patch (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 N (+.f64 #s(literal 1 binary64) N)) (patch (/.f64 N (+.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))) (patch (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (patch (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (log.f64 N) (log1p.f64 N)) (patch (+.f64 (log.f64 N) (log1p.f64 N)) #<representation binary64>) () ())
#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (patch (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (patch (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) (patch (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (patch (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) N) (patch (+.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())
#s(alt (-.f64 (log1p.f64 N) (log.f64 N)) (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 N) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) #<representation binary64>) () ())) ())
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#s(alt (+ (* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (taylor -inf N) (#s(alt (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -1 (/ (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (taylor -inf N) (#s(alt (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 2 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)) (taylor -inf N) (#s(alt (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
65.0ms
N
@-inf
((- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- (log (+ N 1)) (log N)) (/ 1 N) (/ (/ N (+ 1 N)) 1) (neg (log (/ (/ N (+ 1 N)) 1))) (log (/ (/ N (+ 1 N)) 1)) (/ N (+ 1 N)) (* (+ (log N) (log (+ 1 N))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (log N) (log (+ 1 N))) (log N) (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (/ (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (+ (pow (log (+ 1 N)) 4) (pow (log N) 4)) (pow (* (log N) (log (+ 1 N))) 2))) (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (log (+ 1 N)) 6) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (+ 1 N) (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1) (pow (log N) 6) (pow (log (+ 1 N)) 4))
24.0ms
N
@inf
((- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- (log (+ N 1)) (log N)) (/ 1 N) (/ (/ N (+ 1 N)) 1) (neg (log (/ (/ N (+ 1 N)) 1))) (log (/ (/ N (+ 1 N)) 1)) (/ N (+ 1 N)) (* (+ (log N) (log (+ 1 N))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (log N) (log (+ 1 N))) (log N) (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (/ (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (+ (pow (log (+ 1 N)) 4) (pow (log N) 4)) (pow (* (log N) (log (+ 1 N))) 2))) (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (log (+ 1 N)) 6) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (+ 1 N) (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1) (pow (log N) 6) (pow (log (+ 1 N)) 4))
11.0ms
N
@0
((- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- (log (+ N 1)) (log N)) (/ 1 N) (/ (/ N (+ 1 N)) 1) (neg (log (/ (/ N (+ 1 N)) 1))) (log (/ (/ N (+ 1 N)) 1)) (/ N (+ 1 N)) (* (+ (log N) (log (+ 1 N))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (log N) (log (+ 1 N))) (log N) (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (/ (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (+ (pow (log (+ 1 N)) 4) (pow (log N) 4)) (pow (* (log N) (log (+ 1 N))) 2))) (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (log (+ 1 N)) 6) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (+ 1 N) (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1) (pow (log N) 6) (pow (log (+ 1 N)) 4))

simplify489.0ms (5.9%)

Memory
-162.0MiB live, 244.6MiB allocated
Algorithm
egg-herbie
Rules
7 096×lower-*.f64
7 096×lower-*.f32
6 756×lower-fma.f64
6 756×lower-fma.f32
5 306×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100513785
1343112816
0865812194
Stop Event
iter limit
node limit
Counts
300 → 296
Calls
Call 1
Inputs
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- N 1))))
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* 1/2 N) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- N 1))))
(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
-1
(- (* 2 (/ N (log N))) 1)
(- (* N (+ (* -1 (* N (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1)
(- (* N (+ (* N (- (* N (- (+ (* 2/3 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (* -1 (/ (+ (/ 1 (log N)) (* 2 (/ 1 (pow (log N) 2)))) (log N))))) (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1)
(log N)
(+ N (log N))
(+ (log N) (* N (+ 1 (* -1/2 N))))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(log N)
(log N)
(log N)
(log N)
(* -1 (pow (log N) 5))
(+ (* -1 (pow (log N) 5)) (* N (pow (log N) 4)))
(+ (* -1 (pow (log N) 5)) (* N (- (* -1 (* N (+ (* 1/2 (pow (log N) 4)) (pow (log N) 3)))) (* -1 (pow (log N) 4)))))
(+ (* -1 (pow (log N) 5)) (* N (- (* N (- (* -1 (* N (+ (* -1 (/ (+ (* 1/2 (pow (log N) 4)) (pow (log N) 3)) (log N))) (+ (* -1/2 (pow (log N) 3)) (* -1/3 (pow (log N) 4)))))) (+ (* 1/2 (pow (log N) 4)) (pow (log N) 3)))) (* -1 (pow (log N) 4)))))
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 4))) (/ 1 (log N))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 4))) (/ 1 (log N))) (log N))) (+ (* -1 (/ (+ (* -1 (pow (log N) 3)) (+ (* 1/3 (pow (log N) 4)) (pow (log N) 2))) (pow (log N) 4))) (/ 1 (pow (log N) 2)))))) (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 4))) (/ 1 (log N))))))))
(* -1 (pow (log N) 6))
(- (pow N 6) (pow (log N) 6))
(- (* (pow N 6) (+ 1 (* -3 N))) (pow (log N) 6))
(- (* (pow N 6) (+ 1 (* N (- (* 23/4 N) 3)))) (pow (log N) 6))
(pow N 6)
(* (pow N 6) (+ 1 (* -3 N)))
(* (pow N 6) (+ 1 (* N (- (* 23/4 N) 3))))
(* (pow N 6) (+ 1 (* N (- (* N (+ 23/4 (* -9 N))) 3))))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1 (log N))
(+ (* -1 (/ N (pow (log N) 2))) (/ 1 (log N)))
(+ (* N (- (* N (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(+ (* N (- (* N (+ (* -1 (* N (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (/ 1 (pow (log N) 3)) (/ 1 (pow (log N) 4)))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(pow (log N) 6)
(pow (log N) 6)
(pow (log N) 6)
(pow (log N) 6)
(pow N 4)
(* (pow N 4) (+ 1 (* -2 N)))
(* (pow N 4) (+ 1 (* N (- (* 17/6 N) 2))))
(* (pow N 4) (+ 1 (* N (- (* N (+ 17/6 (* -7/2 N))) 2))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
1
(- 1 (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ -1 N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
1
(- 1 (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (/ 1 N))
(- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ -1/2 (* N (log (/ 1 N))))
(/ (- (/ 1/4 (* N (log (/ 1 N)))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (* 1/2 (/ 1 (log (/ 1 N)))))) N)
(/ (- (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/6 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)
(/ (- (+ (/ 1/8 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (log (/ 1 N)))) (* 1/6 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/6 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))))) N)
(* -2 (log (/ 1 N)))
(+ (* -2 (log (/ 1 N))) (/ 1 N))
(- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
(/ (* (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) N)
(/ (- (+ (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (* N (log (/ 1 N))))) (* (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (* -1/2 (/ (* (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) N))) N)
(/ (- (+ (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ 1 (+ (* -1 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (+ (* 1/3 (pow (log (/ 1 N)) 2)) (* 2 (log (/ 1 N)))))))) (* 2 (* (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (* N (log (/ 1 N))))) (* (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (* (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) N)) (+ (* -1/2 (/ (- (* -1/2 (/ (+ (* -2 (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2)))))) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (log (/ 1 N)))) (* -1/2 (* (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ (* (log (/ 1 N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow N 2)))))) N)
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(/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(- (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (/ 1 (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) N)) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) N)) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))) N)) N))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 1/3 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (* 1/2 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (* -1 (/ (+ (* 1/2 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N)) (+ (* 1/2 (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) N)) (/ 1 (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))) N)) (/ 1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) N)) N)) N))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(+ (* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
(fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) N) #s(literal 4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)))
(+ (* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -1 (/ (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 N))) N))
(+ (* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 2 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) N)) (neg.f64 N))) N))

rewrite216.0ms (2.6%)

Memory
-1.2MiB live, 392.8MiB allocated
Rules
4 514×lower-/.f32
4 498×lower-/.f64
3 674×lower-*.f32
3 666×lower-*.f64
2 344×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046244
077196
1340183
22419183
08423183
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 221
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
(/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
(log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(/.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 N)
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
(-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) N)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
(*.f64 (pow.f64 (/.f64 N (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 N (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))
(*.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 N #s(literal -1 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
(pow.f64 (/.f64 (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 N)))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 N))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) #s(literal 2 binary64)) (pow.f64 N #s(literal -2 binary64)))) (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (/.f64 #s(literal -1 binary64) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) #s(literal 2 binary64)) (+.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (/.f64 #s(literal -1 binary64) N))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) (neg.f64 (neg.f64 (neg.f64 N))))
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(fma.f64 (log1p.f64 N) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (log.f64 N) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (log1p.f64 N) (log.f64 N)))))
(fma.f64 (log.f64 N) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (log1p.f64 N) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (log1p.f64 N) (log.f64 N)))))
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(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 (neg.f64 N)) (log1p.f64 N)))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 N)) (log.f64 (neg.f64 N)))
(-.f64 (log1p.f64 (*.f64 (neg.f64 N) N)) (log.f64 (*.f64 N (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N (neg.f64 N))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log.f64 (*.f64 N (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log.f64 (*.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(-.f64 (neg.f64 (log.f64 N)) (neg.f64 (log1p.f64 N)))
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(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 N)))
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(+.f64 (*.f64 (log.f64 N) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 (log1p.f64 N) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 (*.f64 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (log1p.f64 N) (log.f64 N))) (log1p.f64 N)) (*.f64 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)))
(+.f64 (*.f64 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (log1p.f64 N) (log.f64 N))) (log.f64 N)) (*.f64 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (log1p.f64 N) (log.f64 N))) (log1p.f64 N)))
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(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(*.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 1 binary64))))
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 1 binary64)))
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(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
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(exp.f64 (fma.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64) (*.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (log.f64 N)) #s(literal 4 binary64) (*.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64) (log.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)))))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))))
(*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (log1p.f64 N)))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64) (*.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))

eval344.0ms (4.2%)

Memory
46.1MiB live, 591.3MiB allocated
Compiler

Compiled 59 335 to 5 618 computations (90.5% saved)

prune225.0ms (2.7%)

Memory
-24.2MiB live, 218.0MiB allocated
Pruning

44 alts after pruning (42 fresh and 2 done)

PrunedKeptTotal
New1 737311 768
Fresh61117
Picked325
Done000
Total1 746441 790
Accuracy
99.8%
Counts
1 790 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.1%
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
23.5%
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
24.5%
(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64))) (log.f64 N) (*.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))) (log.f64 N)))
24.5%
(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (log.f64 N) (*.f64 (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))) (log.f64 N)))
23.4%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
23.3%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log1p.f64 N) (log.f64 N)))
23.5%
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))
21.3%
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
23.5%
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
24.4%
(/.f64 (*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
95.9%
(/.f64 (*.f64 #s(approx (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (/.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) N) (/.f64 #s(literal -2 binary64) N) (fma.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) N)) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (fma.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal -1/2 binary64) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (pow.f64 N #s(literal 3 binary64))) #s(literal -2 binary64) (fma.f64 (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 N #s(literal 3 binary64)))) #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) N) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N) (/.f64 (pow.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64))) N))))))) N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
96.1%
(/.f64 #s(approx (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) (neg.f64 (log.f64 N))) (fma.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (-.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (fma.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal -1/2 binary64) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (fma.f64 (*.f64 (neg.f64 (log.f64 N)) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) (log.f64 N))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 (log.f64 N))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (log.f64 N))) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (log.f64 N))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (neg.f64 (log.f64 N))) (pow.f64 N #s(literal 3 binary64))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N) (/.f64 (neg.f64 (log.f64 N)) N) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (log.f64 N))))))))))) N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
23.3%
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))
23.5%
(-.f64 (log1p.f64 N) (log.f64 N))
23.4%
(*.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
21.1%
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
21.2%
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal -1 binary64))))
21.2%
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) #s(literal -1 binary64))))
21.1%
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))))
23.5%
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -1 binary64))))
21.2%
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (log.f64 N) (log1p.f64 N)))))
96.2%
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
26.2%
(neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
26.6%
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
95.3%
(neg.f64 #s(approx (log (/ (/ N (+ 1 N)) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N)))
26.1%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
23.5%
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)))
96.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N N) (*.f64 N N)))
96.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) N))
96.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)))) N))
96.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)))))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
96.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
96.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
96.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
92.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
96.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (*.f64 (*.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) #s(literal -1 binary64))) (*.f64 (*.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) N)))
84.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
96.5%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (/.f64 #s(literal -1 binary64) N)))
96.5%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N)))
96.3%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N))))
96.5%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
92.1%
#s(approx (- (log (+ N 1)) (log N)) (exp.f64 (*.f64 (log.f64 (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))) #s(literal -1 binary64))))
Compiler

Compiled 3 896 to 1 501 computations (61.5% saved)

simplify184.0ms (2.2%)

Memory
26.0MiB live, 142.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 N)
cost-diff0
(+.f64 (log.f64 N) (log1p.f64 N))
cost-diff0
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))))
cost-diff6080
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))
cost-diff128
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))
cost-diff192
(fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64))
cost-diff6080
(*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
cost-diff27008
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
cost-diff192
(*.f64 N #s(literal -1 binary64))
cost-diff448
(/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N))
cost-diff704
(-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N)))
cost-diff1024
(*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N)
cost-diff0
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
cost-diff0
(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
cost-diff0
(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)
cost-diff0
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
cost-diff0
(/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N)
cost-diff0
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64))
cost-diff0
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)
cost-diff0
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
Rules
6 902×lower-fma.f32
6 898×lower-fma.f64
3 040×lower-*.f32
3 026×lower-*.f64
1 762×lower-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
071710
0117715
1200679
2396652
31012642
44417642
08300642
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N)
(-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))))
#s(literal -1/2 binary64)
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))
(fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))
#s(literal -1/3 binary64)
N
#s(literal 1/4 binary64)
(*.f64 N N)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)
(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
(/.f64 #s(literal -1/2 binary64) N)
#s(literal -1/2 binary64)
N
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N))
(*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N)
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
N
#s(literal 1/3 binary64)
(*.f64 N N)
(/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N))
(*.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 N)
N
(log1p.f64 N)
(*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
#s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))
(fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal -1/4 binary64) N)
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(neg.f64 N)
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))))
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 N)
N
(log1p.f64 N)
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ 1 N)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N))) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N))) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64))
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N))) N) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N)
(/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N))) N)
(-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))))
(-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N)))
#s(literal -1/2 binary64)
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N))
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))
(/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N) N)
(fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))
#s(literal -1/3 binary64)
N
#s(literal 1/4 binary64)
(*.f64 N N)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
#s(approx (- (log (+ 1 N)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)
(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
(/.f64 #s(literal -1/2 binary64) N)
#s(literal -1/2 binary64)
N
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N))))
#s(approx (- (log (+ 1 N)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) N))
(-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) N)
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N))
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N)
(*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N)
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
N
#s(literal 1/3 binary64)
(*.f64 N N)
(/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N))
(/.f64 #s(literal -1 binary64) N)
(*.f64 N #s(literal -1 binary64))
(neg.f64 N)
#s(literal -1 binary64)
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
#s(approx (- (log (+ 1 N)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) N))
(+.f64 (log.f64 N) (log1p.f64 N))
(+.f64 (log1p.f64 N) (log.f64 N))
(log.f64 N)
N
(log1p.f64 N)
(*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
(/.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) N)) (+.f64 (log1p.f64 N) (log.f64 N)))
#s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ 1 N)) (log N)) (/.f64 (/.f64 (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) N))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) N)
(fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N)
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
(/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N)
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64))
(/.f64 #s(literal -1/4 binary64) N)
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(neg.f64 N)
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (/.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (log.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))))) (+.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 N) (log1p.f64 N))
(+.f64 (log1p.f64 N) (log.f64 N))
(log.f64 N)
N
(log1p.f64 N)
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (/.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (log.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))
(pow.f64 (fma.f64 (/.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (log.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 (/.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (log.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
#s(literal -1 binary64)

localize390.0ms (4.7%)

Memory
-37.6MiB live, 365.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.5123825195368841
(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy0.515625
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy48.6321594320688
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))))
accuracy48.95911125637969
(-.f64 (log1p.f64 N) (log.f64 N))
accuracy0.32259750976844204
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
accuracy0.34375
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy0.34375
(*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
accuracy2.166952370290189
#s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
accuracy0.2578125
(*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N)
accuracy0.2734375
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N))
accuracy0.34375
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy2.166952370290189
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N))))
accuracy0.0078125
(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
accuracy0.0546875
(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)
accuracy2.166952370290189
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
accuracy9.934257765665134
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
accuracy0.08203125
(/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N)
accuracy0.2890625
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))
accuracy0.3359375
(fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))
accuracy2.166952370290189
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
Samples
267.0ms207×1valid
19.0ms49×0valid
Compiler

Compiled 596 to 52 computations (91.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 219.0ms
ival-div: 48.0ms (21.9% of total)
adjust: 44.0ms (20.1% of total)
ival-mult: 41.0ms (18.7% of total)
const: 19.0ms (8.7% of total)
ival-sub: 14.0ms (6.4% of total)
ival-pow: 12.0ms (5.5% of total)
ival-log1p: 11.0ms (5% of total)
ival-pow2: 10.0ms (4.6% of total)
ival-log: 9.0ms (4.1% of total)
ival-add: 8.0ms (3.7% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series83.0ms (1%)

Memory
5.6MiB live, 81.7MiB allocated
Counts
31 → 372
Calls
Call 1
Inputs
#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N) (patch (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) (patch (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) (patch (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) (patch (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) (patch #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (patch (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) #<representation binary64>) () ())
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#s(alt (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) (patch (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))) (patch (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))) (patch (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 (log.f64 N) (log1p.f64 N)) (patch (+.f64 (log.f64 N) (log1p.f64 N)) #<representation binary64>) () ())
#s(alt (log.f64 N) (patch (log.f64 N) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N)))) (patch #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) (patch (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (patch (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) #<representation binary64>) () ())
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#s(alt (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) (patch (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #<representation binary64>) () ())
#s(alt (-.f64 (log1p.f64 N) (log.f64 N)) (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) (patch (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #<representation binary64>) () ())
#s(alt (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 N) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)) #<representation binary64>) () ())) ())
#s(alt (- N (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)) #<representation binary64>) () ())) ())
#s(alt (- (* N (+ 1 (* -1/2 N))) (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)) #<representation binary64>) () ())) ())
#s(alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)) #<representation binary64>) () ())) ())
#s(alt (/ -1/4 (pow N 4)) (taylor 0 N) (#s(alt (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N) (patch (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/3 N) 1/4) (pow N 4)) (taylor 0 N) (#s(alt (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N) (patch (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4)) (taylor 0 N) (#s(alt (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N) (patch (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4)) (taylor 0 N) (#s(alt (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N) (patch (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (/ -1/4 (pow N 3)) (taylor 0 N) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/3 N) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1/4 (pow N 3)) (taylor 0 N) (#s(alt (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) (patch (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/3 N) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) (patch (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #<representation binary64>) () ())) ())
#s(alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) (patch (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #<representation binary64>) () ())) ())
#s(alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3)) (taylor 0 N) (#s(alt (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) (patch (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #<representation binary64>) () ())) ())
#s(alt (* -1 (log N)) (taylor 0 N) (#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
30.0ms
N
@inf
((- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (- (/ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N N)) (/ (* N -1) (* N N))) (/ (* N -1) (* N N)) (* N -1) (* (+ (log N) (log (+ 1 N))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) -1) (/ (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) -1) (neg N)) (* (- (log (+ 1 N)) (log N)) (pow (- (/ (pow (log (+ 1 N)) 2) (- (log (+ 1 N)) (log N))) (/ (pow (log N) 2) (- (log (+ 1 N)) (log N)))) -1)) (* (+ (log N) (log (+ 1 N))) (* (- (log (+ 1 N)) (log N)) (pow (- (/ (pow (log (+ 1 N)) 2) (- (log (+ 1 N)) (log N))) (/ (pow (log N) 2) (- (log (+ 1 N)) (log N)))) -1))) (+ (log N) (log (+ 1 N))) (log N) (+ (* -1/3 N) 1/4) (/ (+ (* -1/3 N) 1/4) (* N N)) (- (log (+ N 1)) (log N)) (/ (- (/ 1/4 N) 1/3) N) (/ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N N)) (- (log (+ 1 N)) (log N)) (/ (+ (/ -1/4 N) 1/3) N) (- (log (+ 1 N)) (log N)) (- (/ (pow (log (+ 1 N)) 2) (- (log (+ 1 N)) (log N))) (/ (pow (log N) 2) (- (log (+ 1 N)) (log N)))) (pow (log (+ 1 N)) 2) (pow (log N) 2))
18.0ms
N
@-inf
((- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (- (/ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N N)) (/ (* N -1) (* N N))) (/ (* N -1) (* N N)) (* N -1) (* (+ (log N) (log (+ 1 N))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) -1) (/ (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) -1) (neg N)) (* (- (log (+ 1 N)) (log N)) (pow (- (/ (pow (log (+ 1 N)) 2) (- (log (+ 1 N)) (log N))) (/ (pow (log N) 2) (- (log (+ 1 N)) (log N)))) -1)) (* (+ (log N) (log (+ 1 N))) (* (- (log (+ 1 N)) (log N)) (pow (- (/ (pow (log (+ 1 N)) 2) (- (log (+ 1 N)) (log N))) (/ (pow (log N) 2) (- (log (+ 1 N)) (log N)))) -1))) (+ (log N) (log (+ 1 N))) (log N) (+ (* -1/3 N) 1/4) (/ (+ (* -1/3 N) 1/4) (* N N)) (- (log (+ N 1)) (log N)) (/ (- (/ 1/4 N) 1/3) N) (/ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N N)) (- (log (+ 1 N)) (log N)) (/ (+ (/ -1/4 N) 1/3) N) (- (log (+ 1 N)) (log N)) (- (/ (pow (log (+ 1 N)) 2) (- (log (+ 1 N)) (log N))) (/ (pow (log N) 2) (- (log (+ 1 N)) (log N)))) (pow (log (+ 1 N)) 2) (pow (log N) 2))
13.0ms
N
@0
((- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (- (/ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N N)) (/ (* N -1) (* N N))) (/ (* N -1) (* N N)) (* N -1) (* (+ (log N) (log (+ 1 N))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1))) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) -1) (/ (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) -1) (neg N)) (* (- (log (+ 1 N)) (log N)) (pow (- (/ (pow (log (+ 1 N)) 2) (- (log (+ 1 N)) (log N))) (/ (pow (log N) 2) (- (log (+ 1 N)) (log N)))) -1)) (* (+ (log N) (log (+ 1 N))) (* (- (log (+ 1 N)) (log N)) (pow (- (/ (pow (log (+ 1 N)) 2) (- (log (+ 1 N)) (log N))) (/ (pow (log N) 2) (- (log (+ 1 N)) (log N)))) -1))) (+ (log N) (log (+ 1 N))) (log N) (+ (* -1/3 N) 1/4) (/ (+ (* -1/3 N) 1/4) (* N N)) (- (log (+ N 1)) (log N)) (/ (- (/ 1/4 N) 1/3) N) (/ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N N)) (- (log (+ 1 N)) (log N)) (/ (+ (/ -1/4 N) 1/3) N) (- (log (+ 1 N)) (log N)) (- (/ (pow (log (+ 1 N)) 2) (- (log (+ 1 N)) (log N))) (/ (pow (log N) 2) (- (log (+ 1 N)) (log N)))) (pow (log (+ 1 N)) 2) (pow (log N) 2))

simplify249.0ms (3%)

Memory
19.0MiB live, 257.1MiB allocated
Algorithm
egg-herbie
Rules
9 510×lower-fma.f64
9 510×lower-fma.f32
6 186×lower-+.f64
6 186×lower-+.f32
4 578×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075310983
125269822
082199389
Stop Event
iter limit
node limit
Counts
372 → 372
Calls
Call 1
Inputs
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1 N)
(/ -1 N)
(/ -1 N)
(/ -1 N)
(* -1 N)
(* -1 N)
(* -1 N)
(* -1 N)
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
-1
(- (* 2 (/ N (log N))) 1)
(- (* N (+ (* -1 (* N (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1)
(- (* N (+ (* N (- (* N (- (+ (* 2/3 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (* -1 (/ (+ (/ 1 (log N)) (* 2 (/ 1 (pow (log N) 2)))) (log N))))) (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1)
(/ 1/4 (pow N 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))
(/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
-1
(- (* 2 (/ N (log N))) 1)
(- (* N (+ (* -1 (* N (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1)
(- (* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (+ (* -1 (/ (+ (/ 1 (log N)) (* 2 (/ 1 (pow (log N) 2)))) (log N))) (* -1 (/ (- (+ 1/3 (+ (* -1 (/ (- 1/2 (/ 1 (log N))) (log N))) (/ 1 (log N)))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2)))) (log N)))))) (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1)
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (+ 1/3 (+ (* -1 (/ (- 1/2 (/ 1 (log N))) (log N))) (/ 1 (log N)))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) 1/2)))))
(log N)
(+ N (log N))
(+ (log N) (* N (+ 1 (* -1/2 N))))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(log N)
(log N)
(log N)
(log N)
1/4
(+ 1/4 (* -1/3 N))
(+ 1/4 (* -1/3 N))
(+ 1/4 (* -1/3 N))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 2))
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(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(log N)
(- N (* -1 (log N)))
(- (* N (+ 1 (* -1/2 N))) (* -1 (log N)))
(- (* N (+ 1 (* N (- (* N (- (+ 1/3 (+ (* -1 (/ (- 1/2 (/ 1 (log N))) (log N))) (/ 1 (log N)))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) 1/2)))) (* -1 (log N)))
(pow N 2)
(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(pow (log N) 2)
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(pow (log N) 2)
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(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
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(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
-1/2
(- (* 1/3 (/ 1 N)) 1/2)
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ -1 N)
(/ -1 N)
(/ -1 N)
(/ -1 N)
(* -1 N)
(* -1 N)
(* -1 N)
(* -1 N)
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ -1/2 (* N (log (/ 1 N))))
(/ (- (/ 1/4 (* N (log (/ 1 N)))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (* 1/2 (/ 1 (log (/ 1 N)))))) N)
(/ (- (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/6 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)
(/ (- (+ (/ 1/8 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (log (/ 1 N)))) (* 1/6 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/6 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))))) N)
-1
(- (* 1/2 (/ 1 N)) 1)
(- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))
(- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ -1/2 (* N (log (/ 1 N))))
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(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/ -1/3 N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/ -1/2 (pow N 2))
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2))
(/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) (pow N 2))
(/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) (pow N 2))
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/ 1/3 N)
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(* 2 (+ (log -1) (* -1 (log (/ -1 N)))))
(+ (* -1 (/ (- (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (* 1/4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N)) (* 2 (+ (log -1) (* -1 (log (/ -1 N))))))
(+ (* -1 (/ (- (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1 (/ (- (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/2 (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 1/4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/6 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* 1/3 (- (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/2 (- (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))))))) N)) (* 1/4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N)) (* 2 (+ (log -1) (* -1 (log (/ -1 N))))))
(+ (* -1 (/ (- (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1 (/ (- (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1 (/ (- (+ (* -1 (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/2 (+ (* -1/2 (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 1/4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 1/6 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (* -1/3 (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 1/4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/8 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (* 1/4 (- (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* 1/3 (- (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))))) (* 1/2 (- (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 1/3 (- (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/2 (- (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))))))))))) N)) (+ (* -1/2 (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 1/4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/6 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (* 1/3 (- (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/2 (- (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))))))) N)) (* 1/4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) N)) (* 2 (+ (log -1) (* -1 (log (/ -1 N))))))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
Outputs
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N))
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N))
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ -1/4 (pow N 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 N N))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 N N))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 N N))
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ -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)
(neg.f64 N)
(* -1 N)
(neg.f64 N)
(* -1 N)
(neg.f64 N)
(* -1 N)
(neg.f64 N)
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N))
-1
#s(literal -1 binary64)
(- (* 2 (/ N (log N))) 1)
(fma.f64 (/.f64 N (log.f64 N)) #s(literal 2 binary64) #s(literal -1 binary64))
(- (* N (+ (* -1 (* N (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1)
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 N) (/.f64 #s(literal 2 binary64) (log.f64 N))) N #s(literal -1 binary64))
(- (* N (+ (* N (- (* N (- (+ (* 2/3 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (* -1 (/ (+ (/ 1 (log N)) (* 2 (/ 1 (pow (log N) 2)))) (log N))))) (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1)
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (log.f64 N)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 N))) N (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 N)))) N (/.f64 #s(literal 2 binary64) (log.f64 N))) N #s(literal -1 binary64))
(/ 1/4 (pow N 3))
(/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64)) N #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3))
(/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) N) N #s(literal -1/3 binary64)) N #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
-1
#s(literal -1 binary64)
(- (* 2 (/ N (log N))) 1)
(fma.f64 (/.f64 N (log.f64 N)) #s(literal 2 binary64) #s(literal -1 binary64))
(- (* N (+ (* -1 (* N (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1)
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 N) (/.f64 #s(literal 2 binary64) (log.f64 N))) N #s(literal -1 binary64))
(- (* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (+ (* -1 (/ (+ (/ 1 (log N)) (* 2 (/ 1 (pow (log N) 2)))) (log N))) (* -1 (/ (- (+ 1/3 (+ (* -1 (/ (- 1/2 (/ 1 (log N))) (log N))) (/ 1 (log N)))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2)))) (log N)))))) (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1)
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (log.f64 N)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (-.f64 (/.f64 (-.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 N))) (log.f64 N))) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (log.f64 N)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (log.f64 N))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 N)))) N (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 N)))) N (/.f64 #s(literal 2 binary64) (log.f64 N))) N #s(literal -1 binary64))
(* -1 (log N))
(neg.f64 (log.f64 N))
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (+ 1/3 (+ (* -1 (/ (- 1/2 (/ 1 (log N))) (log N))) (/ 1 (log N)))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) 1/2)))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 N))) (log.f64 N))) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (log.f64 N)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(log N)
(log.f64 N)
(+ N (log N))
(+.f64 (log.f64 N) N)
(+ (log N) (* N (+ 1 (* -1/2 N))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (log.f64 N))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (log.f64 N))
(log N)
(log.f64 N)
(log N)
(log.f64 N)
(log N)
(log.f64 N)
(log N)
(log.f64 N)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/3 N))
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(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2/3 binary64) #s(literal -1 binary64)) (fma.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (fma.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/3 binary64)))) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) 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binary64) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))))) N) #s(literal -1 binary64) (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 1/24 binary64) (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2/3 binary64) #s(literal -1 binary64))))) (fma.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (fma.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/3 binary64)))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)))) N)) (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))) (neg.f64 N)))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) N) #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (neg.f64 N))) N))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64)) N)) N)) N))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))

rewrite242.0ms (2.9%)

Memory
-0.4MiB live, 239.0MiB allocated
Rules
3 672×lower-*.f32
3 658×lower-*.f64
3 604×lower-/.f32
3 574×lower-/.f64
2 700×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
071527
0117505
1516413
24459403
08397403
Stop Event
iter limit
node limit
iter limit
Counts
31 → 816
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)
(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
(*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N)
(-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N))
(*.f64 N #s(literal -1 binary64))
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
(*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))))
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 N)
(fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))
(/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N))
#s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal -1 binary64)) N))
(*.f64 (pow.f64 (/.f64 N (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 N (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 N #s(literal -1 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal -1 binary64)) N))
(pow.f64 (/.f64 (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal -1 binary64))) #s(literal -1 binary64)) N)
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64))))) N) #s(literal 2 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))) (-.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (*.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (neg.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 1 binary64)) (log.f64 N))
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(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) (log1p.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (log.f64 N))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log1p.f64 N) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (neg.f64 (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 (log1p.f64 N) (*.f64 (log1p.f64 N) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (log1p.f64 (neg.f64 N)))
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(-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))))
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -3 binary64))) (fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (fma.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -2 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))))))
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(+.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log.f64 N) (log1p.f64 N))
(exp.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(log.f64 (fma.f64 N N N))
(*.f64 (log1p.f64 N) (log1p.f64 N))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log1p.f64 N)))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(exp.f64 (+.f64 (log.f64 (log1p.f64 N)) (log.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 2 binary64)))
(*.f64 (log.f64 N) (log.f64 N))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 N)))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(exp.f64 (+.f64 (log.f64 (log.f64 N)) (log.f64 (log.f64 N))))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 2 binary64)))

eval363.0ms (4.4%)

Memory
8.3MiB live, 396.6MiB allocated
Compiler

Compiled 64 700 to 5 880 computations (90.9% saved)

prune298.0ms (3.6%)

Memory
-19.5MiB live, 275.2MiB allocated
Pruning

60 alts after pruning (56 fresh and 4 done)

PrunedKeptTotal
New1 628241 652
Fresh53237
Picked325
Done022
Total1 636601 696
Accuracy
99.8%
Counts
1 696 → 60
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.1%
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
24.8%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
24.5%
(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64))) (log.f64 N) (*.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))) (log.f64 N)))
24.5%
(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (log.f64 N) (*.f64 (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))) (log.f64 N)))
23.4%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
23.3%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log1p.f64 N) (log.f64 N)))
23.5%
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))
21.3%
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
23.5%
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
24.4%
(/.f64 (*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
95.9%
(/.f64 (*.f64 #s(approx (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (/.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) N) (/.f64 #s(literal -2 binary64) N) (fma.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) N)) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (fma.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal -1/2 binary64) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (pow.f64 N #s(literal 3 binary64))) #s(literal -2 binary64) (fma.f64 (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 N #s(literal 3 binary64)))) #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) N) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N) (/.f64 (pow.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64))) N))))))) N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
96.1%
(/.f64 #s(approx (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) (neg.f64 (log.f64 N))) (fma.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (-.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (fma.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal -1/2 binary64) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (fma.f64 (*.f64 (neg.f64 (log.f64 N)) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) (log.f64 N))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 (log.f64 N))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (log.f64 N))) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (log.f64 N))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (neg.f64 (log.f64 N))) (pow.f64 N #s(literal 3 binary64))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N) (/.f64 (neg.f64 (log.f64 N)) N) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (log.f64 N))))))))))) N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
23.5%
(-.f64 (log1p.f64 N) (log.f64 N))
23.4%
(*.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
21.0%
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))))
21.1%
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
21.0%
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))))
18.9%
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
31.3%
(*.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))))) (exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
21.1%
(*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))))
21.1%
(*.f64 (-.f64 (log.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (-.f64 N #s(literal 1 binary64)))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))))
95.7%
(*.f64 (-.f64 (log.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (-.f64 N #s(literal 1 binary64)))) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
20.8%
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))))
21.2%
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal -1 binary64))))
21.2%
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) #s(literal -1 binary64))))
23.5%
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -1 binary64))))
21.2%
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (log.f64 N) (log1p.f64 N)))))
21.5%
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))))
31.3%
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))))) (exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) #s(literal -1 binary64))))
96.1%
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -1 binary64))))
21.1%
(*.f64 (log.f64 (fma.f64 N N N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))))
96.2%
(*.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
26.2%
(neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
26.6%
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
95.3%
(neg.f64 #s(approx (log (/ (/ N (+ 1 N)) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N)))
26.1%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
23.5%
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)))
96.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64) N) (*.f64 N N)))
96.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)))) N))
96.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)))))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
96.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
96.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
96.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
96.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64)) (*.f64 (neg.f64 N) N)) (pow.f64 N #s(literal 3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))))
96.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64))) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (neg.f64 N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N))))
92.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N)))
92.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
96.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (*.f64 (*.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) #s(literal -1 binary64))) (*.f64 (*.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) N)))
96.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64) N))))
92.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)))))
84.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
96.5%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (/.f64 #s(literal -1 binary64) N)))
96.5%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N)))
96.3%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (*.f64 N N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N))))
96.2%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N))))
92.4%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 #s(literal -1 binary64) N)))
96.5%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
92.4%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
Compiler

Compiled 5 171 to 2 175 computations (57.9% saved)

simplify130.0ms (1.6%)

Memory
2.3MiB live, 117.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
cost-diff0
(/.f64 (*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
cost-diff6080
(*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
cost-diff12800
(exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64))))
cost-diff128
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))
cost-diff128
(-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
cost-diff192
(fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64))
cost-diff6080
(*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
cost-diff448
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N))
cost-diff1024
(*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N)
cost-diff1280
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N))
cost-diff5952
(-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)))
cost-diff0
(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
cost-diff0
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
cost-diff128
(neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)))
cost-diff320
(*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))
cost-diff0
(/.f64 #s(literal -1/2 binary64) N)
cost-diff0
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N)
cost-diff0
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N))
cost-diff704
(-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)))
Rules
7 910×lower-fma.f32
7 906×lower-fma.f64
3 676×lower-*.f32
3 662×lower-*.f64
1 826×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085805
0142756
1241746
2471722
31162720
45917720
08082716
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N))
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N)
(-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)))
(/.f64 #s(literal -1/2 binary64) N)
#s(literal -1/2 binary64)
N
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
(*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))
(neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)))
(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
(/.f64 #s(literal -1/2 binary64) N)
#s(literal -1/2 binary64)
N
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) N)
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N))))
(-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N))
(*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N)
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
N
#s(literal 1/3 binary64)
(*.f64 N N)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) N)
#s(literal -1 binary64)
(*.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
#s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N)))
#s(literal 2 binary64)
(log.f64 N)
N
(+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64)))
#s(literal 1/3 binary64)
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 N N))
#s(literal 1/2 binary64)
(*.f64 N N)
(*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
#s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))
(fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal -1/4 binary64) N)
#s(literal -1/4 binary64)
#s(literal -1 binary64)
(neg.f64 N)
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))
(+.f64 (log.f64 N) (log1p.f64 N))
(log1p.f64 N)
(/.f64 (*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
(*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64))))
(log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))
(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
(log1p.f64 N)
N
#s(literal 6 binary64)
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(log.f64 N)
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))
(+.f64 (log.f64 N) (log1p.f64 N))
#s(literal -1 binary64)
(+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
(*.f64 (log.f64 N) (log1p.f64 N))
#s(literal 2 binary64)
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N))
#s(approx (- (log (+ 1 N)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) N)
#s(literal -1/2 binary64)
N
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ 1 N)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
(*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))
(/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N)
(neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)))
(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
(/.f64 #s(literal -1/2 binary64) N)
#s(literal -1/2 binary64)
N
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) N)
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N))))
#s(approx (- (log (+ 1 N)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
(-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N))
(/.f64 (fma.f64 #s(literal -1/2 binary64) N (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64))) (pow.f64 N #s(literal 3 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N)
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
N
#s(literal 1/3 binary64)
(*.f64 N N)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N))
(/.f64 #s(literal -1 binary64) N)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N))
(neg.f64 N)
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) N)
#s(literal -1 binary64)
(*.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) (+.f64 (log1p.f64 N) (log.f64 N))) #s(approx (+ (log N) (log (+ 1 N))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64)))))))
#s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
#s(approx (+ (log N) (log (+ 1 N))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))))))
(-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) (fma.f64 (log.f64 N) #s(literal 2 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64)))))
(fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 (log.f64 N) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(literal 2 binary64)
(log.f64 N)
N
(+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) N))
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64)))
#s(literal 1/3 binary64)
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 N N))
#s(literal 1/2 binary64)
(*.f64 N N)
(*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
(/.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) (+.f64 (log1p.f64 N) (log.f64 N)))
#s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ 1 N)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)
(fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N)
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
(/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N)
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64))
(/.f64 #s(literal -1/4 binary64) N)
#s(literal -1/4 binary64)
#s(literal -1 binary64)
(neg.f64 N)
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))
(+.f64 (log.f64 N) (log1p.f64 N))
(+.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 N)
(/.f64 (*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (+.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))))
(*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (+.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64))))
(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
(log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))
(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
(log1p.f64 N)
N
#s(literal 6 binary64)
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(log.f64 N)
(pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))
(+.f64 (log.f64 N) (log1p.f64 N))
(+.f64 (log1p.f64 N) (log.f64 N))
#s(literal -1 binary64)
(+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
(+.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))
(+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
(+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))
(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))
(pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))
(*.f64 (log.f64 N) (log1p.f64 N))
(*.f64 (log1p.f64 N) (log.f64 N))
#s(literal 2 binary64)

localize422.0ms (5.1%)

Memory
-5.8MiB live, 391.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.1983948844403385
(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
accuracy1.221532323514359
(pow.f64 (log.f64 N) #s(literal 6 binary64))
accuracy2.31497775779253
(exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64))))
accuracy47.92363229763561
(-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
accuracy0.34375
(*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
accuracy0.38509750976844204
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64)))
accuracy1.9662773281394066
#s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
accuracy2.166952370290189
#s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
accuracy0.2578125
(*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N)
accuracy0.2734375
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N))
accuracy0.34375
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy2.166952370290189
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N))))
accuracy0.0078125
(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
accuracy0.10546875
(*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))
accuracy2.166952370290189
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
accuracy9.934257765665134
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
accuracy0.14453125
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy0.2734375
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N)
accuracy0.34375
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy2.166952370290189
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N))
Samples
293.0ms183×1valid
46.0ms73×0valid
Compiler

Compiled 690 to 71 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 253.0ms
ival-div: 56.0ms (22.2% of total)
ival-mult: 49.0ms (19.4% of total)
ival-sub: 40.0ms (15.8% of total)
adjust: 26.0ms (10.3% of total)
ival-pow: 20.0ms (7.9% of total)
ival-log: 16.0ms (6.3% of total)
ival-add: 13.0ms (5.1% of total)
ival-log1p: 9.0ms (3.6% of total)
ival-pow2: 8.0ms (3.2% of total)
ival-exp: 7.0ms (2.8% of total)
const: 6.0ms (2.4% of total)
ival-neg: 3.0ms (1.2% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series55.0ms (0.7%)

Memory
5.8MiB live, 128.0MiB allocated
Counts
31 → 372
Calls
Call 1
Inputs
#s(alt (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) (patch (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N)) (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N) (patch (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) N) (patch (/.f64 #s(literal -1/2 binary64) N) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)) (patch (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)) #<representation binary64>) () ())
#s(alt (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (patch (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))) (patch #s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) (patch (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N))) (patch (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (patch (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (patch (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))) (patch (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) (patch (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) #<representation binary64>) () ())
#s(alt (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (patch (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (patch (*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (patch (/.f64 (*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (patch (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) (patch (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (patch (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (patch (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) (patch #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)))) (patch #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (patch (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (patch #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) #<representation binary64>) () ())
#s(alt #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (patch #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (patch (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 N) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 N) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (patch (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ -1/4 (pow N 3)) (taylor 0 N) (#s(alt (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) (patch (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
12.0ms
N
@-inf
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11.0ms
N
@inf
((- (/ -1/2 N) (- (/ (/ (- (/ 1/4 N) 1/3) N) N) 1)) (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) (- (/ (/ (- (/ 1/4 N) 1/3) N) N) 1)) N) (/ -1/2 N) (* (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ -1 N)) (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (- (log (+ N 1)) (log N)) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (- (/ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N N)) (/ (/ 1 (/ -1 N)) (* N N))) (/ 1 (/ -1 N)) (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (/ (/ 1 (/ -1 N)) (* N N)) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) -1) (- (+ (* 2 (log N)) (+ (/ 1/3 (pow N 3)) (/ 1 N))) (/ 1/2 (* N N))) (/ (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) -1) (neg N)) (exp (log (pow (log (+ 1 N)) 6))) (* (- (exp (log (pow (log (+ 1 N)) 6))) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (/ (* (- (exp (log (pow (log (+ 1 N)) 6))) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (+ (pow (log (+ 1 N)) 4) (pow (log N) 4)) (pow (* (log N) (log (+ 1 N))) 2))) (- (exp (log (pow (log (+ 1 N)) 6))) (pow (log N) 6)) (/ (- (/ 1/4 N) 1/3) N) (/ (/ (- (/ 1/4 N) 1/3) N) N) (- (/ 1/4 N) 1/3) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- (log (+ N 1)) (log N)) (/ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N N)) (- (log (+ 1 N)) (log N)) (+ (log N) (log (+ 1 N))) (/ 1/3 (pow N 3)) (pow (log N) 6) (pow (log (+ 1 N)) 6))
9.0ms
N
@0
((- (/ -1/2 N) (- (/ (/ (- (/ 1/4 N) 1/3) N) N) 1)) (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) (- (/ (/ (- (/ 1/4 N) 1/3) N) N) 1)) N) (/ -1/2 N) (* (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ -1 N)) (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (- (log (+ N 1)) (log N)) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (- (/ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N N)) (/ (/ 1 (/ -1 N)) (* N N))) (/ 1 (/ -1 N)) (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (/ (/ 1 (/ -1 N)) (* N N)) (* (- (log (+ 1 N)) (log N)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) -1) (- (+ (* 2 (log N)) (+ (/ 1/3 (pow N 3)) (/ 1 N))) (/ 1/2 (* N N))) (/ (+ (* (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) -1) (neg N)) (exp (log (pow (log (+ 1 N)) 6))) (* (- (exp (log (pow (log (+ 1 N)) 6))) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (/ (* (- (exp (log (pow (log (+ 1 N)) 6))) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (+ (+ (pow (log (+ 1 N)) 4) (pow (log N) 4)) (pow (* (log N) (log (+ 1 N))) 2))) (- (exp (log (pow (log (+ 1 N)) 6))) (pow (log N) 6)) (/ (- (/ 1/4 N) 1/3) N) (/ (/ (- (/ 1/4 N) 1/3) N) N) (- (/ 1/4 N) 1/3) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- (log (+ N 1)) (log N)) (/ (* (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) N) (* N N)) (- (log (+ 1 N)) (log N)) (+ (log N) (log (+ 1 N))) (/ 1/3 (pow N 3)) (pow (log N) 6) (pow (log (+ 1 N)) 6))

simplify203.0ms (2.5%)

Memory
3.6MiB live, 235.3MiB allocated
Algorithm
egg-herbie
Rules
7 468×lower-fma.f64
7 468×lower-fma.f32
6 674×lower-*.f64
6 674×lower-*.f32
6 102×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087514352
1300713261
0857912680
Stop Event
iter limit
node limit
Counts
372 → 372
Calls
Call 1
Inputs
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ 1/4 (pow N 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))
(/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(* -1 N)
(* -1 N)
(* -1 N)
(* -1 N)
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/ -1 N)
(/ -1 N)
(/ -1 N)
(/ -1 N)
-1
(- (* 2 (/ N (log N))) 1)
(- (* N (+ (* -1 (* N (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1)
(- (* N (+ (* N (- (* N (- (+ (* 2/3 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (* -1 (/ (+ (/ 1 (log N)) (* 2 (/ 1 (pow (log N) 2)))) (log N))))) (+ (* 2 (/ 1 (pow (log N) 2))) (/ 1 (log N))))) (* 2 (/ 1 (log N))))) 1)
(/ 1/4 (pow N 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))
(/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3))
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/ (+ 1/3 (* N (- (* N (+ 1 (* 2 (* N (log N))))) 1/2))) (pow N 3))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(pow N 6)
(* (pow N 6) (+ 1 (* -3 N)))
(* (pow N 6) (+ 1 (* N (- (* 23/4 N) 3))))
(* (pow N 6) (+ 1 (* N (- (* N (+ 23/4 (* -9 N))) 3))))
(* -1 (pow (log N) 5))
(+ (* -1 (pow (log N) 5)) (* N (pow (log N) 4)))
(+ (* -1 (pow (log N) 5)) (* N (- (* -1 (* N (+ (* 1/2 (pow (log N) 4)) (pow (log N) 3)))) (* -1 (pow (log N) 4)))))
(+ (* -1 (pow (log N) 5)) (* N (- (* N (- (* -1 (* N (+ (* -1 (/ (+ (* 1/2 (pow (log N) 4)) (pow (log N) 3)) (log N))) (+ (* -1/2 (pow (log N) 3)) (* -1/3 (pow (log N) 4)))))) (+ (* 1/2 (pow (log N) 4)) (pow (log N) 3)))) (* -1 (pow (log N) 4)))))
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1 (* N (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 4))) (/ 1 (log N))))))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* N (- (* 1/2 (/ 1 (log N))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 4))) (/ 1 (log N))) (log N))) (+ (* -1 (/ (+ (* -1 (pow (log N) 3)) (+ (* 1/3 (pow (log N) 4)) (pow (log N) 2))) (pow (log N) 4))) (/ 1 (pow (log N) 2)))))) (+ (* -1 (/ (+ (* -1/2 (pow (log N) 4)) (pow (log N) 3)) (pow (log N) 4))) (/ 1 (log N))))))))
(* -1 (pow (log N) 6))
(- (pow N 6) (pow (log N) 6))
(- (* (pow N 6) (+ 1 (* -3 N))) (pow (log N) 6))
(- (* (pow N 6) (+ 1 (* N (- (* 23/4 N) 3)))) (pow (log N) 6))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ 1/4 (pow N 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(log N)
(+ N (log N))
(+ (log N) (* N (+ 1 (* -1/2 N))))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 1/3 (pow N 3))
(/ 1/3 (pow N 3))
(/ 1/3 (pow N 3))
(/ 1/3 (pow N 3))
(pow (log N) 6)
(pow (log N) 6)
(pow (log N) 6)
(pow (log N) 6)
(pow N 6)
(* (pow N 6) (+ 1 (* -3 N)))
(* (pow N 6) (+ 1 (* N (- (* 23/4 N) 3))))
(* (pow N 6) (+ 1 (* N (- (* N (+ 23/4 (* -9 N))) 3))))
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ -1/2 N)
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
-1
(- (* 1/2 (/ 1 N)) 1)
(- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))
(- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(* -1 N)
(* -1 N)
(* -1 N)
(* -1 N)
-1/2
(- (* 1/3 (/ 1 N)) 1/2)
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))
(/ -1 N)
(/ -1 N)
(/ -1 N)
(/ -1 N)
(/ -1/2 (* N (log (/ 1 N))))
(/ (- (/ 1/4 (* N (log (/ 1 N)))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (* 1/2 (/ 1 (log (/ 1 N)))))) N)
(/ (- (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/6 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)
(/ (- (+ (/ 1/8 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (log (/ 1 N)))) (* 1/6 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/6 (/ 1 (* (pow N 2) (log (/ 1 N)))))))))))) N)
-1
(- (* 1/2 (/ 1 N)) 1)
(- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))
(- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))
(* -2 (log (/ 1 N)))
(+ (* -2 (log (/ 1 N))) (/ 1 N))
(- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(pow (log (/ 1 N)) 6)
(+ (* -2 (/ (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) N)) (pow (log (/ 1 N)) 6))
(+ (* -2 (/ (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2))))) (pow N 2))) (+ (* -2 (/ (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) N)) (+ (/ (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2) (pow N 2)) (pow (log (/ 1 N)) 6))))
(+ (* -2 (/ (* (pow (log (/ 1 N)) 3) (+ 1 (+ (* -1 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (+ (* 1/3 (pow (log (/ 1 N)) 2)) (* 2 (log (/ 1 N))))))) (pow N 3))) (+ (* -2 (/ (* (pow (log (/ 1 N)) 3) (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2))))) (pow N 2))) (+ (* -2 (/ (* (pow (log (/ 1 N)) 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) N)) (+ (* 2 (/ (* (+ (* -2 (log (/ 1 N))) (+ (* -1 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1/2 (pow (log (/ 1 N)) 2)))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) (pow N 3))) (+ (/ (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2) (pow N 2)) (pow (log (/ 1 N)) 6))))))
(/ (* (pow (log (/ 1 N)) 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))) N)
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(* -2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))
(* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2)) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))))))) N)) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2))) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))))) (pow (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))) 2))) N)) (+ (* 2 (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))))))) N)) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2))) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N))
(/ -1/3 N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/ -1/3 (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(/ -1/2 N)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/ -1/2 (pow N 2))
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2))
(/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) (pow N 2))
(/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) (pow N 2))
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(+ (* -2 (log (/ -1 N))) (* 2 (log -1)))
(+ (* -2 (log (/ -1 N))) (+ (* 2 (log -1)) (/ 1 N)))
(+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) (* 2 (log -1))))
(+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) (* 2 (log -1))))
(/ 1/3 (pow N 3))
(/ 1/3 (pow N 3))
(/ 1/3 (pow N 3))
(/ 1/3 (pow N 3))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 6)
(+ (* -2 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2)) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))))))) N)) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2))) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))
Outputs
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N))
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(/ (- (* 1/3 N) 1/4) (pow N 4))
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(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ -1/2 N)
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(/ -1/2 N)
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(/ -1/2 N)
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(/ -1/2 N)
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(/ (- (* 1/3 N) 1/4) (pow N 4))
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(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ 1/4 (pow N 3))
(/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
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(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64)) N #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3))
(/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) N) N #s(literal -1/3 binary64)) N #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* -1 (log N))
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(- N (log N))
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(- (* N (+ 1 (* -1/2 N))) (log N))
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N))
(/ -1/4 (pow N 3))
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(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(* -1 N)
(neg.f64 N)
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(* -1 N)
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(* -1 N)
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(/ -1/4 (pow N 2))
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(/ (- (* 1/3 N) 1/4) (pow N 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 N N))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 N 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)
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(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 3 binary64) (neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64))) N)) N))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (log -1) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))))))))) N)) (+ (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 N))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (pow (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) 2))) N)) (* 2 (* (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 6))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 6 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64)) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 3 binary64) (neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (-.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 #s(literal 3 binary64) (neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) #s(literal -3 binary64))))) N)) (neg.f64 N))) N))

rewrite219.0ms (2.7%)

Memory
24.2MiB live, 264.2MiB allocated
Rules
4 674×lower-*.f32
4 662×lower-*.f64
4 458×lower-fma.f32
4 454×lower-fma.f64
2 904×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084504
0140450
1622414
25888414
08672410
Stop Event
iter limit
node limit
iter limit
Counts
31 → 942
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N))
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N)
(/.f64 #s(literal -1/2 binary64) N)
(*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))
(neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N))
(*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N))
(*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64))
(-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))
(exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64))))
(*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N))))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N))
#s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
#s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64)))
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
Outputs
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 N #s(literal -3 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) N)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) N)) (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) N)))) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 N #s(literal -3 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64))))) (-.f64 (/.f64 #s(literal -1/2 binary64) N) (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 N #s(literal -3 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 (*.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal -1/2 binary64) N) (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 2 binary64))))
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(*.f64 N (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) (*.f64 N N)))
(*.f64 N (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) (pow.f64 N #s(literal -2 binary64))))
(pow.f64 (*.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) #s(literal -1 binary64))
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(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) N) N)
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 N) N)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 N N))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (*.f64 (neg.f64 N) N))
(/.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64))) (*.f64 (neg.f64 N) N))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) (neg.f64 N))
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(/.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64)) (*.f64 N N))
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N)
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (*.f64 N N))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 N (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) #s(literal -1 binary64)))
(/.f64 N (*.f64 (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))) (*.f64 N N)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64))) (*.f64 N N)))
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64)) (*.f64 (neg.f64 N) N)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal -2 binary64))) (/.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) N))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
#s(approx (+ (log N) (log (+ 1 N))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 N) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64))))))
(*.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1/3 binary64) N))
(*.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (neg.f64 N) #s(literal -3 binary64)))
(*.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 N N) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))))
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(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3/2 binary64))) (pow.f64 N #s(literal 3/2 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) N)
(/.f64 (/.f64 #s(literal 1/3 binary64) N) (*.f64 N N))
(/.f64 #s(literal -1/3 binary64) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 3 binary64))))
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(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64))))
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 N #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 N) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 1 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
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(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 (log.f64 N))) #s(literal 6 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (log.f64 N) #s(literal 6 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (log.f64 N)))) #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 1 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 6 binary64)) (log.f64 (log1p.f64 N)))
(pow.f64 (exp.f64 (log.f64 (log1p.f64 N))) #s(literal 6 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (log1p.f64 N) #s(literal 6 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 6 binary64))) (log.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (log1p.f64 N)))) #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64))))

eval204.0ms (2.5%)

Memory
20.2MiB live, 328.3MiB allocated
Compiler

Compiled 57 331 to 5 523 computations (90.4% saved)

prune105.0ms (1.3%)

Memory
-37.6MiB live, 204.1MiB allocated
Pruning

70 alts after pruning (64 fresh and 6 done)

PrunedKeptTotal
New1 417171 434
Fresh44751
Picked325
Done044
Total1 424701 494
Accuracy
99.8%
Counts
1 494 → 70
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.1%
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (log1p.f64 N) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
24.8%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
24.5%
(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64))) (log.f64 N) (*.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))) (log.f64 N)))
24.5%
(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64))) (log.f64 N) (*.f64 (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (+.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))) (log.f64 N)))
23.4%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
23.3%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log1p.f64 N) (log.f64 N)))
23.5%
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))
21.3%
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
23.5%
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
24.4%
(/.f64 (*.f64 (-.f64 (exp.f64 (log.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (pow.f64 (log.f64 N) #s(literal 6 binary64))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
95.9%
(/.f64 (*.f64 #s(approx (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (/.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) N) (/.f64 #s(literal -2 binary64) N) (fma.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) N)) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (fma.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal -1/2 binary64) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (pow.f64 N #s(literal 3 binary64))) #s(literal -2 binary64) (fma.f64 (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 N #s(literal 3 binary64)))) #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) N) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N) (/.f64 (pow.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64))) N))))))) N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
96.1%
(/.f64 #s(approx (* (- (pow (log (+ 1 N)) 6) (pow (log N) 6)) (pow (+ (log N) (log (+ 1 N))) -1)) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) (neg.f64 (log.f64 N))) (fma.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (-.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (fma.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal -1/2 binary64) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (fma.f64 (*.f64 (neg.f64 (log.f64 N)) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) (log.f64 N))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 (log.f64 N))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (log.f64 N))) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (log.f64 N))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (neg.f64 (log.f64 N))) (pow.f64 N #s(literal 3 binary64))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N) (/.f64 (neg.f64 (log.f64 N)) N) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (log.f64 N))))))))))) N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
23.5%
(-.f64 (log1p.f64 N) (log.f64 N))
23.4%
(*.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
21.0%
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))))
21.1%
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
21.0%
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))))
18.9%
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64)))) (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal -2 binary64))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) #s(literal -2 binary64))))) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
31.3%
(*.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))))) (exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
21.1%
(*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))))
21.1%
(*.f64 (-.f64 (log.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64)))) (log.f64 (-.f64 N #s(literal 1 binary64)))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))))
20.8%
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))))
21.2%
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (log1p.f64 N) (log.f64 N))) #s(literal -1 binary64))))
21.2%
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) #s(literal -1 binary64))))
23.5%
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -1 binary64))))
21.2%
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (log.f64 N) (log1p.f64 N)))))
21.5%
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))))
31.3%
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (/.f64 (exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (log1p.f64 N) (log.f64 N))))) (exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) #s(literal -1 binary64))))
96.1%
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (log.f64 (fma.f64 N N N)) #s(literal -1 binary64))))
21.1%
(*.f64 (log.f64 (fma.f64 N N N)) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (log1p.f64 N) (log.f64 N)))) #s(literal -1 binary64))))
96.0%
(*.f64 #s(approx (+ (log N) (log (+ 1 N))) (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64)))) #s(literal 3 binary64)) (*.f64 (pow.f64 N #s(literal -6 binary64)) #s(literal 1/8 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (log.f64 N) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64))))) (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
95.9%
(*.f64 #s(approx (+ (log N) (log (+ 1 N))) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) N) (*.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 N))))) (/.f64 #s(literal 1/2 binary64) N))) (*.f64 (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64))) (-.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 N))))) N))) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
96.2%
(*.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) N) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
96.4%
(*.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (/.f64 #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)) (+.f64 (log1p.f64 N) (log.f64 N))))
96.1%
(*.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64) N) (*.f64 N N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
96.2%
(*.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 N) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
96.1%
(*.f64 #s(approx (+ (log N) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 N) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))) (*.f64 #s(approx (- (log (+ 1 N)) (log N)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) N))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64))))
26.2%
(neg.f64 (log.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N) (fma.f64 N N #s(literal -1 binary64)))))
26.6%
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
95.3%
(neg.f64 #s(approx (log (/ (/ N (+ 1 N)) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N)))
26.1%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
23.5%
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)))
23.3%
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
96.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64) N) (*.f64 N N)))
96.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)))) N))
96.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) N))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
96.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
96.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
96.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 #s(approx (/ (/ (- (/ 1/4 N) 1/3) N) N) (/.f64 #s(literal -1/3 binary64) (*.f64 N N))) #s(literal 1 binary64))) N))
96.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64)) (*.f64 (neg.f64 N) N)) (pow.f64 N #s(literal 3 binary64))) (*.f64 (*.f64 N N) (*.f64 (neg.f64 N) N))))
96.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64))) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (neg.f64 N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N))))
92.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N)))
92.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
96.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (*.f64 (*.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) #s(literal -1 binary64))) (*.f64 (*.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) N)))
96.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64) N))))
92.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)))))
84.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
96.5%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (/.f64 #s(literal -1 binary64) N)))
96.5%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N)))
96.3%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (*.f64 N N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N))))
96.2%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N))))
96.1%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (*.f64 N (pow.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64)))))
92.4%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 #s(literal -1 binary64) N)))
96.5%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))
96.2%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) N) N #s(literal -1/3 binary64)) N #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) N)))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) N)))
92.4%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) N)))
95.3%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (/.f64 #s(literal -1 binary64) N)))
Compiler

Compiled 6 783 to 1 939 computations (71.4% saved)

regimes51.0ms (0.6%)

Memory
32.3MiB live, 70.0MiB allocated
Counts
95 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 #s(approx (/ (/ (- (/ 1/4 N) 1/3) N) N) (/.f64 #s(literal -1/3 binary64) (*.f64 N N))) #s(literal 1 binary64))) N))
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#s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (-.f64 (fma.f64 #s(literal -4/3 binary64) (neg.f64 (log.f64 N)) (fma.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (log.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) #s(literal -1/2 binary64) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/4 binary64))))) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (fma.f64 (*.f64 (neg.f64 (log.f64 N)) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (+.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 N)) #s(literal -1 binary64)) (log.f64 N) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) (log.f64 N))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 (log.f64 N))) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (log.f64 N))) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 (log.f64 N)) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 N N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (log.f64 N))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (neg.f64 (log.f64 N))) (pow.f64 N #s(literal 3 binary64))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) N) (/.f64 (neg.f64 (log.f64 N)) N) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (neg.f64 (log.f64 N)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)) #s(literal -2 binary64)) (fma.f64 (neg.f64 (log.f64 N)) #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (log.f64 N)) (log.f64 N) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (neg.f64 (log.f64 N))) (*.f64 (log.f64 N) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (log.f64 N))))))))))) N)) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
Calls

2 calls:

26.0ms
N
20.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
99.5%2N
99.5%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes22.0ms (0.3%)

Memory
-20.1MiB live, 24.0MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 #s(approx (/ (/ (- (/ 1/4 N) 1/3) N) N) (/.f64 #s(literal -1/3 binary64) (*.f64 N N))) #s(literal 1 binary64))) N))
(neg.f64 #s(approx (log (/ (/ N (+ 1 N)) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (/.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (*.f64 N N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (*.f64 N #s(literal -1 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1 binary64))) (*.f64 N N)) (*.f64 (*.f64 (neg.f64 N) N) (neg.f64 N))) (*.f64 (*.f64 (neg.f64 N) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N N)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (*.f64 (*.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) #s(literal -1 binary64))) (*.f64 (*.f64 N (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)))) N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
Calls

2 calls:

12.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
9.0ms
N
Results
AccuracySegmentsBranch
96.6%1N
96.6%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes9.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 #s(approx (/ (/ (- (/ 1/4 N) 1/3) N) N) (/.f64 #s(literal -1/3 binary64) (*.f64 N N))) #s(literal 1 binary64))) N))
(neg.f64 #s(approx (log (/ (/ N (+ 1 N)) 1)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (/.f64 #s(literal -1 binary64) N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
Calls

2 calls:

4.0ms
N
4.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
95.3%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
95.3%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)))))
Calls

2 calls:

3.0ms
N
2.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
92.4%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
92.4%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory
-31.2MiB live, 8.0MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(approx (neg (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (neg.f64 (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 #s(literal -1 binary64) N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
Calls

2 calls:

3.0ms
N
2.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
92.4%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
92.4%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Calls

2 calls:

1.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
84.7%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
84.7%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0004597021528862655
0.0006238772936182357
Compiler

Compiled 10 to 10 computations (0% saved)

simplify23.0ms (0.3%)

Memory
-0.4MiB live, 38.9MiB allocated
Algorithm
egg-herbie
Rules
28×+-commutative-binary64-+.f64
26×sub-neg-binary64-neg.f64-+.f64--.f64
12×neg-sub0-binary64--.f64-neg.f64
12×neg-mul-1-binary64-*.f64-neg.f64
10×*-commutative-binary64-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054154
170154
290154
3101154
4108154
5109154
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) N)) (log.f64 N)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))

soundness806.0ms (9.8%)

Memory
6.6MiB live, 516.8MiB allocated
Rules
11 472×lower-fma.f64
11 472×lower-fma.f32
7 096×lower-*.f64
7 096×lower-*.f32
6 756×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088330
1250302
2588301
31591295
44186287
56252287
67306287
08036278
0616
01015
14215
226915
3262715
0884612
0100513785
1343112816
0865812194
071527
0117505
1516413
24459403
08397403
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 136 to 84 computations (38.2% saved)

preprocess66.0ms (0.8%)

Memory
16.0MiB live, 134.1MiB allocated
Compiler

Compiled 242 to 138 computations (43% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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