2log (problem 3.3.6)

Time bar (total: 8.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
1×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)

sample1.4s (17.2%)

Memory
-29.3MiB live, 1 505.5MiB allocated
Samples
1.0s6 358×1valid
122.0ms1 898×0valid
Precisions
Click to see histograms. Total time spent on operations: 860.0ms
ival-log1p: 302.0ms (35.1% of total)
ival-log: 276.0ms (32.1% of total)
adjust: 133.0ms (15.5% of total)
ival-sub: 78.0ms (9.1% of total)
ival->: 28.0ms (3.3% of total)
ival-<: 18.0ms (2.1% of total)
ival-and: 12.0ms (1.4% of total)
exact: 11.0ms (1.3% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain163.0ms (1.9%)

Memory
9.6MiB live, 129.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2471(61.813106411987256)0-(-.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))cancellation2483
Confusion
Predicted +Predicted -
+2470
-18
Precision
0.9959677419354839
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+24700
-135
Precision?
0.9840637450199203
Recall?
1.0
Freqs
test
numberfreq
08
1248
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
59.0ms400×1valid
7.0ms112×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-log: 14.0ms (31.4% of total)
ival-log1p: 14.0ms (31.4% of total)
adjust: 8.0ms (18% of total)
ival-sub: 4.0ms (9% of total)
ival-add: 3.0ms (6.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess17.0ms (0.2%)

Memory
25.5MiB live, 25.5MiB allocated
Algorithm
1×egg-herbie
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
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Outputs
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 5 to 4 computations (20% saved)

prune1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶23.6%
(-.f64 (log1p.f64 N) (log.f64 N))
▶23.6%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify11.0ms (0.1%)

Memory
-26.0MiB live, 10.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 N)
cost-diff0
(log1p.f64 N)
cost-diff0
(-.f64 (log1p.f64 N) (log.f64 N))
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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
01524
12024
22424
33024
43824
55324
68524
711024
815424
916924
1017724
017724
Stop Event
1×iter limit
1×saturated
1×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)
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 N)
N
(log.f64 N)
Outputs
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 N)
(+.f64 #s(literal 1 binary64) N)
N
#s(literal 1 binary64)
(log.f64 N)
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 N)
N
(log.f64 N)

localize51.0ms (0.6%)

Memory
16.0MiB live, 51.6MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 N)
accuracy0.0078125
(log1p.f64 N)
accuracy48.892867581068636
(-.f64 (log1p.f64 N) (log.f64 N))
accuracy0
(+.f64 N #s(literal 1 binary64))
accuracy0
(log.f64 N)
accuracy0.00390625
(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy48.892867581068636
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Samples
40.0ms200×1valid
3.0ms56×0valid
Compiler

Compiled 62 to 16 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-log1p: 8.0ms (35.5% of total)
ival-log: 6.0ms (26.6% of total)
adjust: 5.0ms (22.2% of total)
ival-sub: 2.0ms (8.9% of total)
ival-add: 1.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series104.0ms (1.2%)

Memory
-13.1MiB live, 71.0MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log1p.f64 N) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log1p.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log1p.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log1p.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log1p.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (log1p.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (log1p.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (log1p.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf N) (#s(alt #<batchref> (patch (log1p.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (log.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (log1p.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (log1p.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (log1p.f64 N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (log1p.f64 N) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
59.0ms
N
@-inf
((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N) (- (log (+ 1 N)) (log N)) (log (+ 1 N)))
38.0ms
N
@0
((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N) (- (log (+ 1 N)) (log N)) (log (+ 1 N)))
6.0ms
N
@inf
((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N) (- (log (+ 1 N)) (log N)) (log (+ 1 N)))

simplify170.0ms (2%)

Memory
7.8MiB live, 170.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088582
1250530
2588528
31591516
44186504
56252504
67306504
08036486
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
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 N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
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 (/ 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)))
(/ 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 (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)))
(+ (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))))
(/ 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))
(+ (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))))
Outputs
N
(*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N)
(*.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)
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N) N (-.f64 N (log.f64 N)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) N)
(log.f64 N)
(log.f64 N)
(log.f64 N)
(log.f64 N)
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N) N (-.f64 N (log.f64 N)))
N
(*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N)
(*.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)
(log.f64 N)
(-.f64 (log.f64 N) (/.f64 #s(literal -1 binary64) N))
(-.f64 (log.f64 N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
(-.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))
(/.f64 #s(literal 1 binary64) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) 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)
N
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) N)
(log.f64 N)
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(log.f64 N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) 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)
(log.f64 N)
(-.f64 (log.f64 N) (/.f64 #s(literal -1 binary64) N))
(-.f64 (log.f64 N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
(-.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))
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64)))
(-.f64 (+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) 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))
(-.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))
(/.f64 #s(literal 1 binary64) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) 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)
N
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) N)
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) 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 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64)))
(-.f64 (+.f64 (log.f64 (neg.f64 N)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) 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))
(-.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))

rewrite156.0ms (1.9%)

Memory
9.1MiB live, 265.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
01519
17019
237819
3352919
0826419
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 673
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)
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 N)
Outputs
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eval222.0ms (2.6%)

Memory
29.6MiB live, 227.1MiB allocated
Compiler

Compiled 18 398 to 1 471 computations (92% saved)

prune36.0ms (0.4%)

Memory
3.7MiB live, 117.5MiB allocated
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New74419763
Fresh000
Picked112
Done000
Total74520765
Accuracy
99.6%
Counts
765 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.2%
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 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))))))
25.5%
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
▶25.2%
(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))))))
25.4%
(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))))))
25.4%
(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (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))))))
24.6%
(/.f64 (fma.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 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (log.f64 N)))
24.7%
(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 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 (log.f64 N) (-.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 (log.f64 N) (+.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))))))))
▶24.5%
(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (*.f64 (log.f64 N) (-.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))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
23.4%
(/.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 3 binary64)) (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 3 binary64))) (+.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 (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 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64))) (fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
23.6%
(/.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)))))
23.6%
(/.f64 (*.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 -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
✓23.6%
(-.f64 (log1p.f64 N) (log.f64 N))
▶26.7%
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
26.3%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
23.6%
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)))
95.4%
#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))
▶96.7%
#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))
92.6%
#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 1 335 to 560 computations (58.1% saved)

simplify141.0ms (1.7%)

Memory
-19.1MiB live, 126.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.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))))
cost-diff0
(log1p.f64 N)
cost-diff0
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
cost-diff6720
(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))))))
cost-diff0
(pow.f64 (log.f64 N) #s(literal 2 binary64))
cost-diff0
(neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))
cost-diff6592
(fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (*.f64 (log.f64 N) (-.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)))))
cost-diff27072
(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (*.f64 (log.f64 N) (-.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))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052442
094432
1160429
2302425
3710425
41835412
55015409
08107408
Stop Event
1×iter limit
1×node limit
1×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 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (*.f64 (log.f64 N) (-.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))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
(fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (*.f64 (log.f64 N) (-.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 (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(log.f64 N)
N
#s(literal 2 binary64)
(log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(fma.f64 N N #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 N #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (log.f64 N) (-.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))))
(-.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)))
(pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))
(log.f64 (fma.f64 N N #s(literal -1 binary64)))
(pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))
(log.f64 (-.f64 N #s(literal 1 binary64)))
(*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(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))))))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(log1p.f64 N)
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))))
(fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 N)
(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)))))
(/.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))))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
#s(literal 3 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 N (-.f64 N #s(literal -1 binary64)))))
(log.f64 (/.f64 N (-.f64 N #s(literal -1 binary64))))
(/.f64 N (-.f64 N #s(literal -1 binary64)))
(/.f64 N (-.f64 N #s(literal -1 binary64)))
N
(-.f64 N #s(literal -1 binary64))
#s(literal 1 binary64)
(-.f64 (/.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))) (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) N) N (pow.f64 N #s(literal 3 binary64))))) (log.f64 N))
(*.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) N) N (pow.f64 N #s(literal 3 binary64)))) (log.f64 N) (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (log.f64 N))
(neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(log.f64 N)
N
#s(literal 2 binary64)
(log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) N) N (pow.f64 N #s(literal 3 binary64))))
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(fma.f64 N N #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 N #s(literal 1 binary64))
#s(literal 1 binary64)
(*.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 N))
(-.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)))
(pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))
(log.f64 (fma.f64 N N #s(literal -1 binary64)))
(pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))
(log.f64 (-.f64 N #s(literal 1 binary64)))
(*.f64 (log1p.f64 (fma.f64 (-.f64 #s(literal -1 binary64) N) N (pow.f64 N #s(literal 3 binary64)))) (log.f64 N))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(log1p.f64 N)
N
#s(literal 2 binary64)
(/.f64 (log1p.f64 N) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(+.f64 (log1p.f64 N) (log.f64 N))
(log.f64 N)
(/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
#s(literal 3 binary64)

localize330.0ms (3.9%)

Memory
-1.3MiB live, 312.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.34765625
(fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
accuracy0.5241012695368841
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy0.7306214844426087
(pow.f64 (log.f64 N) #s(literal 3 binary64))
accuracy47.23214460376817
(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))))))
accuracy0.517910009768442
(pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))
accuracy0.5201950195368841
(pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64))
accuracy0.5514450195368841
(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy47.770266189667
(fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (*.f64 (log.f64 N) (-.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)))))
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))))
accuracy0.00390625
(/.f64 N (+.f64 #s(literal 1 binary64) N))
accuracy46.87921254340294
(log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
accuracy0
(/.f64 #s(literal 1 binary64) N)
accuracy9.762095805315631
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy0.0859375
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
accuracy0.12890625
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy0.34765625
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy2.0597813473073425
#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
245.0ms198×1valid
33.0ms58×0valid
Compiler

Compiled 924 to 106 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 229.0ms
ival-div: 55.0ms (24% of total)
ival-log: 50.0ms (21.8% of total)
adjust: 36.0ms (15.7% of total)
ival-pow2: 17.0ms (7.4% of total)
ival-mult: 17.0ms (7.4% of total)
ival-add: 13.0ms (5.7% of total)
ival-sub: 12.0ms (5.2% of total)
ival-log1p: 9.0ms (3.9% of total)
const: 7.0ms (3.1% of total)
ival-neg: 6.0ms (2.6% of total)
ival-pow: 5.0ms (2.2% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series148.0ms (1.8%)

Memory
-5.0MiB live, 76.2MiB allocated
Counts
25 → 300
Calls
Call 1
Inputs
#s(alt #<batchref> (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 #<batchref> (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 #<batchref> (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 #<batchref> (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 #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 N (+.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (*.f64 (log.f64 N) (-.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))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (*.f64 (log.f64 N) (-.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))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (log.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (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)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log1p.f64 N) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.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)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (log.f64 N) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (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 #<batchref> (taylor 0 N) (#s(alt #<batchref> (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 #<batchref> (taylor 0 N) (#s(alt #<batchref> (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 #<batchref> (taylor 0 N) (#s(alt #<batchref> (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 #<batchref> (taylor 0 N) (#s(alt #<batchref> (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 #<batchref> (taylor 0 N) (#s(alt #<batchref> (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 #<batchref> (taylor 0 N) (#s(alt #<batchref> (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 #<batchref> (taylor 0 N) (#s(alt #<batchref> (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 #<batchref> (taylor 0 N) (#s(alt #<batchref> (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 #<batchref> (taylor 0 N) (#s(alt #<batchref> (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 #<batchref> (taylor 0 N) (#s(alt #<batchref> (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 #<batchref> (taylor 0 N) (#s(alt #<batchref> (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 #<batchref> (taylor 0 N) (#s(alt #<batchref> (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 #<batchref> (taylor 0 N) (#s(alt #<batchref> (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 #<batchref> (taylor 0 N) (#s(alt #<batchref> (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 #<batchref> (taylor 0 N) (#s(alt #<batchref> (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 #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 N (+.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 N (+.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 N (+.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 N (+.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (log.f64 N) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (log.f64 N) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (log.f64 N) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
60.0ms
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)) (/ (+ (* (neg (pow (log N) 2)) (log (* (+ (* N N) -1) (- N 1)))) (* (log N) (- (pow (log (+ (* N N) -1)) 2) (pow (log (- N 1)) 2)))) (* (log N) (log (* (+ (* N N) -1) (- N 1))))) (+ (* (neg (pow (log N) 2)) (log (* (+ (* N N) -1) (- N 1)))) (* (log N) (- (pow (log (+ (* N N) -1)) 2) (pow (log (- N 1)) 2)))) (neg (pow (log N) 2)) (pow (log N) 2) (+ (* (pow (log (+ 1 N)) 2) (/ (log (+ 1 N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) (neg (/ (pow (log N) 3) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))))) (pow (log (+ 1 N)) 2) (log (+ 1 N)) (/ (log (+ 1 N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (+ 1 N) (pow (log (+ (* N N) -1)) 2) (pow (log (- N 1)) 2) (pow (log N) 3) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))
51.0ms
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)) (/ (+ (* (neg (pow (log N) 2)) (log (* (+ (* N N) -1) (- N 1)))) (* (log N) (- (pow (log (+ (* N N) -1)) 2) (pow (log (- N 1)) 2)))) (* (log N) (log (* (+ (* N N) -1) (- N 1))))) (+ (* (neg (pow (log N) 2)) (log (* (+ (* N N) -1) (- N 1)))) (* (log N) (- (pow (log (+ (* N N) -1)) 2) (pow (log (- N 1)) 2)))) (neg (pow (log N) 2)) (pow (log N) 2) (+ (* (pow (log (+ 1 N)) 2) (/ (log (+ 1 N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) (neg (/ (pow (log N) 3) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))))) (pow (log (+ 1 N)) 2) (log (+ 1 N)) (/ (log (+ 1 N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (+ 1 N) (pow (log (+ (* N N) -1)) 2) (pow (log (- N 1)) 2) (pow (log N) 3) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))
28.0ms
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)) (/ (+ (* (neg (pow (log N) 2)) (log (* (+ (* N N) -1) (- N 1)))) (* (log N) (- (pow (log (+ (* N N) -1)) 2) (pow (log (- N 1)) 2)))) (* (log N) (log (* (+ (* N N) -1) (- N 1))))) (+ (* (neg (pow (log N) 2)) (log (* (+ (* N N) -1) (- N 1)))) (* (log N) (- (pow (log (+ (* N N) -1)) 2) (pow (log (- N 1)) 2)))) (neg (pow (log N) 2)) (pow (log N) 2) (+ (* (pow (log (+ 1 N)) 2) (/ (log (+ 1 N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) (neg (/ (pow (log N) 3) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))))) (pow (log (+ 1 N)) 2) (log (+ 1 N)) (/ (log (+ 1 N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (+ 1 N) (pow (log (+ (* N N) -1)) 2) (pow (log (- N 1)) 2) (pow (log N) 3) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))

simplify255.0ms (3%)

Memory
5.3MiB live, 213.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116516012
1394714790
0813714034
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
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))
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(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1 N)
(/ 1 N)
(/ 1 N)
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N
(* N (+ 1 (* -1 N)))
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(* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))
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(- (* 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)))
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(* N (+ (* 2 (* (log -1) (log N))) (pow (log N) 2)))
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(* N (+ (* 2 (* (log -1) (log N))) (+ (* N (+ (* 3/2 (pow (log N) 2)) (+ (* N (+ (* -1 (* (log N) (+ 1 (* -2/3 (log -1))))) (* 1/3 (pow (log N) 2)))) (* (log N) (- (* -2 (log -1)) (+ 1 (* -1 (log -1)))))))) (pow (log N) 2))))
(* N (+ (* 2 (* (log -1) (log N))) (+ (* N (+ (* 3/2 (pow (log N) 2)) (+ (* N (+ (* -1 (* (log N) (+ 1 (* -2/3 (log -1))))) (+ (* 1/3 (pow (log N) 2)) (* N (+ (* 3/4 (pow (log N) 2)) (* (log N) (- (+ 1/12 (* -1 (log -1))) (* -1/2 (log -1))))))))) (* (log N) (- (* -2 (log -1)) (+ 1 (* -1 (log -1)))))))) (pow (log N) 2))))
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(* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (* N (- (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 4))) (/ 1 (pow (log N) 5)))) (+ (* -1 (/ (* (+ 1 (* -1/2 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (pow (log N) 2))) (+ (* 1/4 (/ 1 (pow (log N) 2))) (* 2/3 (/ 1 (pow (log N) 3))))))))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))) (/ 1 (pow (log N) 4))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2))))
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1
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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))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.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))) (-.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)))))) N)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (fma.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))) (-.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 #s(literal -1/3 binary64) N)
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (neg.f64 N))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (neg.f64 N))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (neg.f64 N))
#s(literal -1/3 binary64)
(-.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 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
N
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) N)
(*.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64)))))
(fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (pow.f64 N #s(literal 6 binary64))) #s(literal 4/3 binary64) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (*.f64 N N)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64)))))))
(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)) (/.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))) N))
(-.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 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #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))
(-.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 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #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)) (neg.f64 N)))) N))
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))
(fma.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))) (-.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 (fma.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))) (-.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 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3 binary64)) N))
(-.f64 (fma.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))) (-.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 (-.f64 (*.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))) #s(literal -3/2 binary64) #s(literal 1 binary64)) N)) N))
(-.f64 (fma.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))) (-.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 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N))) (neg.f64 N))) N))

rewrite368.0ms (4.4%)

Memory
-20.2MiB live, 173.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052294
094253
1401244
23022244
08826244
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 1 037
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 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (*.f64 (log.f64 N) (-.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))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
(fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (*.f64 (log.f64 N) (-.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 (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(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))))))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(log1p.f64 N)
(/.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))))
(/.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)
(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))
(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)))
Outputs
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eval325.0ms (3.9%)

Memory
22.9MiB live, 419.5MiB allocated
Compiler

Compiled 90 607 to 5 302 computations (94.1% saved)

prune107.0ms (1.3%)

Memory
-12.3MiB live, 186.9MiB allocated
Pruning

38 alts after pruning (35 fresh and 3 done)

PrunedKeptTotal
New1 637271 664
Fresh6814
Picked325
Done011
Total1 646381 684
Accuracy
99.7%
Counts
1 684 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.2%
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
25.5%
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
25.0%
(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)) (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))))
25.4%
(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))))))
25.8%
(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
25.4%
(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (-.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
25.8%
(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))) (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -3 binary64))))) (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))))
25.5%
(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64)))))
24.6%
(/.f64 (fma.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 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (log.f64 N)))
25.0%
(/.f64 (fma.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (log1p.f64 N))) (neg.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
▶25.3%
(/.f64 (fma.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
25.8%
(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
✓24.5%
(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (*.f64 (log.f64 N) (-.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))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
23.6%
(/.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)))))
23.5%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log1p.f64 N) (log1p.f64 N) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
23.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (log1p.f64 N))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
23.7%
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (log1p.f64 N)) (log.f64 N)) (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
23.6%
(/.f64 (*.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 -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
✓23.6%
(-.f64 (log1p.f64 N) (log.f64 N))
26.7%
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
95.4%
(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)))
26.3%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
23.6%
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)))
96.4%
#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)))
▶96.4%
#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)) (neg.f64 (neg.f64 N)) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
96.1%
#s(approx (- (log (+ N 1)) (log N)) (/.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))) (+.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))))
96.6%
#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)))))
▶96.5%
#s(approx (- (log (+ N 1)) (log N)) (/.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)) (+.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 #s(literal -1 binary64) (+.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))))) N))
95.4%
#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))
96.7%
#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))
96.6%
#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))
▶92.6%
#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))
▶96.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.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)))))
✓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 (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))))
96.6%
#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)))
96.2%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (/.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)))))
Compiler

Compiled 2 727 to 1 295 computations (52.5% saved)

simplify142.0ms (1.7%)

Memory
-2.3MiB live, 116.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 N)
cost-diff0
(+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))))
cost-diff0
(*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (log1p.f64 N))
cost-diff26432
(fma.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
cost-diff0
(/.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)) (+.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 #s(literal -1 binary64) (+.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))))) N)
cost-diff0
#s(approx (- (log (+ N 1)) (log N)) (/.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)) (+.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 #s(literal -1 binary64) (+.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))))) N))
cost-diff192
(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))
cost-diff6272
(+.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)))
cost-diff0
#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)) (neg.f64 (neg.f64 N)) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
cost-diff192
(fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (neg.f64 (neg.f64 N)) (*.f64 N N))
cost-diff256
(neg.f64 (neg.f64 N))
cost-diff5952
(/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (neg.f64 (neg.f64 N)) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 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 (-.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 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)))
cost-diff0
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.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)))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.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))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063897
0108875
1190838
2490828
32057826
08266817
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.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)))))
(/.f64 #s(literal 1 binary64) (/.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 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)))
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)
#s(literal 1/3 binary64)
#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 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (neg.f64 (neg.f64 N)) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 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)) (neg.f64 (neg.f64 N)) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N))))
(fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (neg.f64 (neg.f64 N)) (*.f64 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)
(neg.f64 (neg.f64 N))
(neg.f64 N)
(*.f64 N N)
(*.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.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)) (+.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 #s(literal -1 binary64) (+.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))))) N))
(/.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)) (+.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 #s(literal -1 binary64) (+.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))))) 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 3 binary64)) (+.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 #s(literal -1 binary64) (+.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 (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)) (+.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))))
(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))
(/.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 3 binary64)
(+.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)))
(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))
#s(literal -1 binary64)
#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 2 binary64)
(/.f64 #s(literal -1 binary64) (+.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 (fma.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
(fma.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (log1p.f64 N))
(+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))))
(log1p.f64 N)
N
(log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 N #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(log.f64 N)
(*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(fma.f64 N N #s(literal -1 binary64))
#s(literal -1 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)
#s(literal 1 binary64)
(/.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)))
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)
#s(literal 1/3 binary64)
#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 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) N) (neg.f64 N)) N))
(/.f64 (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) N) (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) 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)
N
(neg.f64 N)
(*.f64 N N)
(pow.f64 N #s(literal 3 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.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)) (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) (-.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) (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) (-.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)))) N))
(/.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)) (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) (-.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) (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) (-.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)))) 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 3 binary64)) (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) (-.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) (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) (-.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 (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)) (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) (-.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 #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))
(/.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 3 binary64)
(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) (-.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 #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 #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 2 binary64)
(/.f64 #s(literal -1 binary64) (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) (-.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 (/.f64 (+.f64 (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) (log1p.f64 N)) (log.f64 N)) (/.f64 (*.f64 (log.f64 N) (-.f64 (log1p.f64 N) (log.f64 N))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
(*.f64 (*.f64 (log.f64 N) (+.f64 (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (+.f64 (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) (log1p.f64 N)) (log1p.f64 N))
(+.f64 (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) (log1p.f64 N))
(log1p.f64 N)
N
(log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 N #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(log.f64 N)
(*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) (log1p.f64 N)))
(neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (log.f64 N))
(log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(fma.f64 N N #s(literal -1 binary64))
#s(literal -1 binary64)

localize289.0ms (3.4%)

Memory
-3.0MiB live, 513.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3359375
(/.f64 (fma.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
accuracy0.36947250976844204
(*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
accuracy0.5514450195368841
(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy48.10553358761121
(fma.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
accuracy0.34765625
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy0.49837875976844204
(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))
accuracy0.6873590332848187
(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))
accuracy2.0597813473073425
#s(approx (- (log (+ N 1)) (log N)) (/.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)) (+.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 #s(literal -1 binary64) (+.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))))) N))
accuracy0.22265625
(*.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))
accuracy0.3359375
(/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (neg.f64 (neg.f64 N)) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N))))
accuracy0.34765625
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy2.0597813473073425
#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)) (neg.f64 (neg.f64 N)) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
accuracy0.00390625
(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
accuracy0.0625
(/.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)
accuracy2.0597813473073425
#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))
accuracy9.919469115711887
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
accuracy0.0859375
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
accuracy0.12890625
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy0.34765625
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy2.0597813473073425
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.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)))))
Samples
193.0ms192×1valid
29.0ms64×0valid
Compiler

Compiled 1 684 to 121 computations (92.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 175.0ms
ival-div: 45.0ms (25.7% of total)
adjust: 21.0ms (12% of total)
ival-mult: 20.0ms (11.4% of total)
ival-log: 20.0ms (11.4% of total)
ival-pow2: 13.0ms (7.4% of total)
ival-sub: 11.0ms (6.3% of total)
ival-add: 11.0ms (6.3% of total)
ival-pow: 10.0ms (5.7% of total)
const: 9.0ms (5.1% of total)
ival-log1p: 9.0ms (5.1% of total)
ival-neg: 4.0ms (2.3% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series62.0ms (0.7%)

Memory
-2.7MiB live, 117.3MiB allocated
Counts
29 → 348
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.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)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.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))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())
#s(alt #<batchref> (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 #<batchref> (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 #<batchref> (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 #<batchref> (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 #<batchref> (patch #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (neg.f64 (neg.f64 N)) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (neg.f64 N)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (neg.f64 (neg.f64 N)) (*.f64 N N)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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)) (neg.f64 (neg.f64 N)) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.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))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (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)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.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)) (+.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 #s(literal -1 binary64) (+.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))))) N)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.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)) (+.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 #s(literal -1 binary64) (+.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))))) N) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (log1p.f64 N)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log1p.f64 N) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (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 #<batchref> (patch (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (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)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (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)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (log.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))))) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.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)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.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))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.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))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.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))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.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))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (/.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))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
21.0ms
N
@-inf
((/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (- (log (+ N 1)) (log N)) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (- (/ (- -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) 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)) (neg (neg N))) (* N N)) (* (* N N) (neg (neg N)))) (neg (neg N)) (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (- (log (+ N 1)) (log N)) (+ (+ (* -1 (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N)) 1) (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 2)) (+ (* -1 (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N)) 1) (- (log (+ N 1)) (log N)) (/ (- (/ (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 3) (+ (+ (* -1 (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N)) 1) (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 2))) (/ -1 (+ (+ (* -1 (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N)) 1) (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 2)))) N) (+ (* (* (+ (log (+ 1 N)) (log (pow (- N 1) 2))) (log (+ 1 N))) (log N)) (* (+ (log (+ 1 N)) (log (pow (- N 1) 2))) (neg (pow (log N) 2)))) (* (+ (log (+ 1 N)) (log (pow (- N 1) 2))) (log (+ 1 N))) (+ (log (+ 1 N)) (log (pow (- N 1) 2))) (log (+ 1 N)) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (* (* N N) (neg (neg N))) (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 3) (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 2) (pow (log N) 2) (* (+ (log (+ 1 N)) (log (pow (- N 1) 2))) (neg (pow (log N) 2))) (/ (+ (* (* (+ (log (+ 1 N)) (log (pow (- N 1) 2))) (log (+ 1 N))) (log N)) (* (+ (log (+ 1 N)) (log (pow (- N 1) 2))) (neg (pow (log N) 2)))) (* (log N) (log (* (+ (* N N) -1) (- N 1))))))
17.0ms
N
@inf
((/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (- (log (+ N 1)) (log N)) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (- (/ (- -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) 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)) (neg (neg N))) (* N N)) (* (* N N) (neg (neg N)))) (neg (neg N)) (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (- (log (+ N 1)) (log N)) (+ (+ (* -1 (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N)) 1) (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 2)) (+ (* -1 (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N)) 1) (- (log (+ N 1)) (log N)) (/ (- (/ (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 3) (+ (+ (* -1 (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N)) 1) (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 2))) (/ -1 (+ (+ (* -1 (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N)) 1) (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 2)))) N) (+ (* (* (+ (log (+ 1 N)) (log (pow (- N 1) 2))) (log (+ 1 N))) (log N)) (* (+ (log (+ 1 N)) (log (pow (- N 1) 2))) (neg (pow (log N) 2)))) (* (+ (log (+ 1 N)) (log (pow (- N 1) 2))) (log (+ 1 N))) (+ (log (+ 1 N)) (log (pow (- N 1) 2))) (log (+ 1 N)) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (* (* N N) (neg (neg N))) (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 3) (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 2) (pow (log N) 2) (* (+ (log (+ 1 N)) (log (pow (- N 1) 2))) (neg (pow (log N) 2))) (/ (+ (* (* (+ (log (+ 1 N)) (log (pow (- N 1) 2))) (log (+ 1 N))) (log N)) (* (+ (log (+ 1 N)) (log (pow (- N 1) 2))) (neg (pow (log N) 2)))) (* (log N) (log (* (+ (* N N) -1) (- N 1))))))
11.0ms
N
@0
((/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (- (log (+ N 1)) (log N)) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (- (/ (- -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) 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)) (neg (neg N))) (* N N)) (* (* N N) (neg (neg N)))) (neg (neg N)) (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (- (log (+ N 1)) (log N)) (+ (+ (* -1 (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N)) 1) (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 2)) (+ (* -1 (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N)) 1) (- (log (+ N 1)) (log N)) (/ (- (/ (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 3) (+ (+ (* -1 (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N)) 1) (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 2))) (/ -1 (+ (+ (* -1 (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N)) 1) (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 2)))) N) (+ (* (* (+ (log (+ 1 N)) (log (pow (- N 1) 2))) (log (+ 1 N))) (log N)) (* (+ (log (+ 1 N)) (log (pow (- N 1) 2))) (neg (pow (log N) 2)))) (* (+ (log (+ 1 N)) (log (pow (- N 1) 2))) (log (+ 1 N))) (+ (log (+ 1 N)) (log (pow (- N 1) 2))) (log (+ 1 N)) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (* (* N N) (neg (neg N))) (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 3) (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 2) (pow (log N) 2) (* (+ (log (+ 1 N)) (log (pow (- N 1) 2))) (neg (pow (log N) 2))) (/ (+ (* (* (+ (log (+ 1 N)) (log (pow (- N 1) 2))) (log (+ 1 N))) (log N)) (* (+ (log (+ 1 N)) (log (pow (- N 1) 2))) (neg (pow (log N) 2)))) (* (log N) (log (* (+ (* N N) -1) (- N 1))))))

simplify176.0ms (2.1%)

Memory
21.7MiB live, 292.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08466983
126515526
084725250
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
Calls
Call 1
Inputs
(/ -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 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(* -4 (pow N 4))
(* (pow N 4) (- (* -16/3 N) 4))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 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 (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 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))
N
N
N
N
(/ -1/4 N)
(/ (- (* 1/3 N) 1/4) N)
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) N)
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) N)
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ 1/16 (pow N 6))
(/ (+ 1/16 (* -1/6 N)) (pow N 6))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 6))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 6))
(/ 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 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 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))
(* N (pow (log N) 2))
(* N (+ (* N (+ (* -1 (log N)) (* 3/2 (pow (log N) 2)))) (pow (log N) 2)))
(* N (+ (* N (+ (* -1 (log N)) (+ (* 3/2 (pow (log N) 2)) (* N (+ (* -1 (log N)) (* 1/3 (pow (log N) 2))))))) (pow (log N) 2)))
(* N (+ (* N (+ (* -1 (log N)) (+ (* 3/2 (pow (log N) 2)) (* N (+ (* -1 (log N)) (+ (* 1/3 (pow (log N) 2)) (* N (+ (* 1/12 (log N)) (* 3/4 (pow (log N) 2)))))))))) (pow (log N) 2)))
(* -1 (pow N 2))
(* (pow N 2) (- (* -1 N) 1))
(* (pow N 2) (- (* N (- (* 1/12 N) 1)) 1))
(* (pow N 2) (- (* N (- (* N (+ 1/12 (* -5/6 N))) 1)) 1))
(* -1 N)
(* N (- (* -3/2 N) 1))
(* N (- (* N (- (* -1/3 N) 3/2)) 1))
(* N (- (* N (- (* N (- (* -3/4 N) 1/3)) 3/2)) 1))
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))))
(/ 1/4 (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)
(/ -1/4 (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))
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(/ -1/64 (pow N 9))
(/ (- (* 1/16 N) 1/64) (pow N 9))
(/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 9))
(/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 9))
(/ 1/16 (pow N 6))
(/ (+ 1/16 (* -1/6 N)) (pow N 6))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 6))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/3 N))) 1/6))) (pow N 6))
(pow (log N) 2)
(pow (log N) 2)
(pow (log N) 2)
(pow (log N) 2)
(* N (pow (log N) 2))
(* N (+ (* 3/2 (* N (pow (log N) 2))) (pow (log N) 2)))
(* N (+ (* N (+ (* 1/3 (* N (pow (log N) 2))) (* 3/2 (pow (log N) 2)))) (pow (log N) 2)))
(* N (+ (* N (+ (* 3/2 (pow (log N) 2)) (* N (+ (* 1/3 (pow (log N) 2)) (* 3/4 (* N (pow (log N) 2))))))) (pow (log N) 2)))
(* -1 (log N))
(+ (* -1 (log N)) (* N (- (* -1 (/ (+ (* -1 (log N)) (* 3/2 (pow (log N) 2))) (log N))) (* -3/2 (log N)))))
(+ (* -1 (log N)) (* N (- (+ (* -1 (/ (+ (* -1 (log N)) (* 3/2 (pow (log N) 2))) (log N))) (* N (- (* -1 (/ (+ (* -1 (log N)) (* 1/3 (pow (log N) 2))) (log N))) (+ (* -1/3 (log N)) (* 3/2 (- (* -1 (/ (+ (* -1 (log N)) (* 3/2 (pow (log N) 2))) (log N))) (* -3/2 (log N)))))))) (* -3/2 (log N)))))
(+ (* -1 (log N)) (* N (- (+ (* -1 (/ (+ (* -1 (log N)) (* 3/2 (pow (log N) 2))) (log N))) (* N (- (+ (* -1 (/ (+ (* -1 (log N)) (* 1/3 (pow (log N) 2))) (log N))) (* N (- (* -1 (/ (+ (* 1/12 (log N)) (* 3/4 (pow (log N) 2))) (log N))) (+ (* -3/4 (log N)) (+ (* 1/3 (- (* -1 (/ (+ (* -1 (log N)) (* 3/2 (pow (log N) 2))) (log N))) (* -3/2 (log N)))) (* 3/2 (- (* -1 (/ (+ (* -1 (log N)) (* 1/3 (pow (log N) 2))) (log N))) (+ (* -1/3 (log N)) (* 3/2 (- (* -1 (/ (+ (* -1 (log N)) (* 3/2 (pow (log N) 2))) (log N))) (* -3/2 (log N)))))))))))) (+ (* -1/3 (log N)) (* 3/2 (- (* -1 (/ (+ (* -1 (log N)) (* 3/2 (pow (log N) 2))) (log N))) (* -3/2 (log N)))))))) (* -3/2 (log 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)
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
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
(- 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)
N
N
N
N
(pow N 2)
(* (pow N 2) (- 1 (* 1/2 (/ 1 N))))
(* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))
(* (pow N 2) (- (+ 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
(+ 1 (* 1/2 (/ 1 N)))
(- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))
(+ 1 (+ (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) (pow N 2))) (* 1/2 (/ 1 N))))
1
(+ 1 (* 1/2 (/ 1 N)))
(- (+ 1 (* 1/2 (/ 1 N))) (/ 1/3 (pow N 2)))
(- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) (/ 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 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)
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Outputs
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binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal 3/2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))))))) (/.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))))))) N)))) (+.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (pow.f64 (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))) #s(literal 1 binary64) (+.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64)))))) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (pow.f64 (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))))) N)) #s(literal 1 binary64)) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))))) #s(literal 0 binary64)) N) #s(literal -1 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 1 binary64) (neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))))

rewrite385.0ms (4.6%)

Memory
-21.0MiB live, 267.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063594
0108448
1462419
23853419
08410411
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
29 → 991
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.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(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.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)))))
(/.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)))
(-.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 #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 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (neg.f64 (neg.f64 N)) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N))))
(neg.f64 (neg.f64 N))
(fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (neg.f64 (neg.f64 N)) (*.f64 N 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)) (neg.f64 (neg.f64 N)) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
(+.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)))
(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))
#s(approx (- (log (+ N 1)) (log N)) (/.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)) (+.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 #s(literal -1 binary64) (+.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))))) N))
(/.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)) (+.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 #s(literal -1 binary64) (+.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))))) N)
(fma.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (log1p.f64 N))
(+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))))
(log1p.f64 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 -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
(*.f64 (*.f64 N N) (neg.f64 (neg.f64 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 3 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))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
Outputs
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eval566.0ms (6.7%)

Memory
53.5MiB live, 554.3MiB allocated
Compiler

Compiled 172 220 to 10 247 computations (94.1% saved)

prune135.0ms (1.6%)

Memory
-33.5MiB live, 165.5MiB allocated
Pruning

36 alts after pruning (32 fresh and 4 done)

PrunedKeptTotal
New2 468152 483
Fresh131730
Picked415
Done033
Total2 485362 521
Accuracy
99.8%
Counts
2 521 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.5%
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
25.0%
(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)) (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))))
▶25.8%
(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
25.4%
(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (-.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
25.8%
(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))) (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -3 binary64))))) (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))))
25.3%
(/.f64 (fma.f64 (*.f64 (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)) (log1p.f64 N)) (log.f64 N) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
25.0%
(/.f64 (fma.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (log1p.f64 N))) (neg.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
24.9%
(/.f64 (fma.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
25.8%
(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
✓24.5%
(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (*.f64 (log.f64 N) (-.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))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
23.6%
(/.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)))))
23.5%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log1p.f64 N) (log1p.f64 N) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
23.9%
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N))) #s(literal 2 binary64)) (*.f64 (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)) (-.f64 (*.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)) (-.f64 (*.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
23.1%
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N))) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
▶25.3%
(/.f64 (*.f64 (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)) (fma.f64 (log.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
23.6%
(/.f64 (*.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 -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
✓23.6%
(-.f64 (log1p.f64 N) (log.f64 N))
26.7%
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
95.4%
(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)))
26.3%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
23.6%
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)))
95.4%
#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))
96.7%
#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))
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))
✓92.6%
#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))
96.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.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 (*.f64 N N) (neg.f64 (neg.f64 N)))))
▶96.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
84.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
96.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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)))))
▶93.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))))
▶97.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))))
95.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))))
95.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))) N))))
✓84.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
96.6%
#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)) #s(approx (/ (- (/ (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 3) (+ (+ (* -1 (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N)) 1) (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 2))) (/ -1 (+ (+ (* -1 (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N)) 1) (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 2)))) N) (/.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)))))
Compiler

Compiled 2 634 to 1 336 computations (49.3% saved)

simplify133.0ms (1.6%)

Memory
24.4MiB live, 99.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (log.f64 N) (neg.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
cost-diff0
(log.f64 N)
cost-diff0
(pow.f64 (log.f64 N) #s(literal 2 binary64))
cost-diff6720
(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
cost-diff0
(fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N))
cost-diff0
(*.f64 (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)) (fma.f64 (log.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
cost-diff6464
(fma.f64 (log.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
cost-diff13440
(/.f64 (*.f64 (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)) (fma.f64 (log.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
cost-diff0
#s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N))
cost-diff0
(/.f64 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N))))
cost-diff0
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
cost-diff256
(neg.f64 (neg.f64 N))
cost-diff0
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)))
cost-diff0
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))))
cost-diff896
(fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))))
cost-diff0
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))))
cost-diff192
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))
cost-diff1152
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076680
0127660
1238632
2673618
32624592
45937590
08108587
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))))
#s(literal 1 binary64)
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)
(-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N))
#s(literal 1/12 binary64)
(/.f64 #s(literal 1/24 binary64) N)
#s(literal 1/24 binary64)
N
#s(literal -1 binary64)
(neg.f64 N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))))
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)))
#s(literal 1 binary64)
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))
(fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
(/.f64 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N))))
#s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)
(fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64))
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))
(-.f64 N #s(literal 1/2 binary64))
N
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
#s(literal -1/4 binary64)
(*.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))
(*.f64 N N)
(neg.f64 (neg.f64 N))
(neg.f64 N)
(/.f64 (*.f64 (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)) (fma.f64 (log.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
(*.f64 (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)) (fma.f64 (log.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N))
(log.f64 (-.f64 N #s(literal 1 binary64)))
(-.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
#s(literal 2 binary64)
(log1p.f64 N)
(fma.f64 (log.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(log.f64 N)
(neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(fma.f64 N N #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(log.f64 N)
N
#s(literal 2 binary64)
(/.f64 (log.f64 N) (neg.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(neg.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(+.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 N)
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N))))
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)))
#s(literal 1 binary64)
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N))
(+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)
(-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N))
#s(literal 1/12 binary64)
(/.f64 #s(literal 1/24 binary64) N)
#s(literal 1/24 binary64)
N
#s(literal -1 binary64)
(neg.f64 N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 N #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 N #s(literal -1/2 binary64))))
#s(literal 1 binary64)
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (-.f64 N #s(literal -1/2 binary64)))
(-.f64 N #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)) (pow.f64 N #s(literal 3 binary64))))
(/.f64 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)) (pow.f64 N #s(literal 3 binary64)))
#s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)
(fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64))
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))
(-.f64 N #s(literal 1/2 binary64))
N
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
#s(literal -1/4 binary64)
(pow.f64 N #s(literal 3 binary64))
(*.f64 N N)
N
(neg.f64 N)
(*.f64 (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))) (fma.f64 #s(literal 2 binary64) (log.f64 (-.f64 N #s(literal 1 binary64))) (log1p.f64 N)))
(*.f64 (*.f64 (log.f64 N) (fma.f64 #s(literal 2 binary64) (log.f64 (-.f64 N #s(literal 1 binary64))) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N)))
(fma.f64 #s(literal 2 binary64) (log.f64 (-.f64 N #s(literal 1 binary64))) (log1p.f64 N))
(log.f64 (-.f64 N #s(literal 1 binary64)))
(-.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
#s(literal 2 binary64)
(log1p.f64 N)
(*.f64 (log.f64 N) (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 N)
(neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (log.f64 N))
(log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(fma.f64 N N #s(literal -1 binary64))
#s(literal -1 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)))))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(log.f64 N)
N
#s(literal 2 binary64)
(/.f64 (neg.f64 (log.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 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(+.f64 (log.f64 N) (log1p.f64 N))
(log1p.f64 N)
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(/.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))))
(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
#s(literal 3 binary64)

localize326.0ms (3.9%)

Memory
-2.1MiB live, 483.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.5201950195368841
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy0.5475387695368841
(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy0.7211877442110507
(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
accuracy46.68395961413055
(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
accuracy0.3092575195368841
(*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))))
accuracy0.3359375
(/.f64 (*.f64 (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)) (fma.f64 (log.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
accuracy0.5475387695368841
(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy47.61259550255306
(fma.f64 (log.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
accuracy0.21484375
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)
accuracy0.22265625
(*.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))
accuracy0.33203125
(/.f64 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N))))
accuracy2.0597813473073425
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
accuracy0
(/.f64 #s(literal 1/2 binary64) N)
accuracy0.05859375
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)))
accuracy2.0597813473073425
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))))
accuracy4.291388830619617
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))
accuracy0.3203125
(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)
accuracy0.390625
(/.f64 #s(literal 1/24 binary64) N)
accuracy2.0597813473073425
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))))
accuracy2.0678212775386786
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
Samples
212.0ms195×1valid
42.0ms59×0valid
4.0ms2×5exit
Compiler

Compiled 1 265 to 152 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 210.0ms
ival-div: 34.0ms (16.2% of total)
ival-mult: 34.0ms (16.2% of total)
adjust: 28.0ms (13.3% of total)
ival-add: 21.0ms (10% of total)
ival-log1p: 19.0ms (9% of total)
ival-sub: 17.0ms (8.1% of total)
const: 16.0ms (7.6% of total)
ival-log: 15.0ms (7.1% of total)
ival-pow2: 14.0ms (6.7% of total)
ival-neg: 6.0ms (2.9% of total)
ival-pow: 4.0ms (1.9% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series72.0ms (0.9%)

Memory
4.7MiB live, 124.8MiB allocated
Counts
29 → 348
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (neg.f64 N)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)) (fma.f64 (log.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (log.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)) (fma.f64 (log.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (log.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 N) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (log.f64 N) (neg.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1/24 binary64) N) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) N) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 N) (#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
27.0ms
N
@-inf
((* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (+ (* (/ 1/2 N) N) N) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (neg (neg N)) (- (log (+ N 1)) (log N)) (/ (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (* (* N N) (neg (neg N)))) (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/ (* (+ (* (log (- N 1)) 2) (log (+ 1 N))) (+ (* (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (* (log N) (log (* (+ (* N N) -1) (- N 1))))) (+ (* (log N) (log (+ 1 N))) (neg (pow (log N) 2))) (* (+ (* (log (- N 1)) 2) (log (+ 1 N))) (+ (* (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (+ (* (log (- N 1)) 2) (log (+ 1 N))) (+ (* (pow (log N) 2) (/ (log N) (neg (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2))))) (/ (pow (log (+ 1 N)) 3) (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2)))) (pow (log N) 2) (log N) (/ (log N) (neg (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2)))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ 1/24 N) (/ (- 1/12 (/ 1/24 N)) N) (/ 1/2 N) (* (* N N) (neg (neg N))) (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) N) (* (log N) (log (* (+ (* N N) -1) (- N 1)))) (pow (log (+ 1 N)) 3) (pow (log (+ 1 N)) 2))
19.0ms
N
@inf
((* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (+ (* (/ 1/2 N) N) N) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (neg (neg N)) (- (log (+ N 1)) (log N)) (/ (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (* (* N N) (neg (neg N)))) (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/ (* (+ (* (log (- N 1)) 2) (log (+ 1 N))) (+ (* (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (* (log N) (log (* (+ (* N N) -1) (- N 1))))) (+ (* (log N) (log (+ 1 N))) (neg (pow (log N) 2))) (* (+ (* (log (- N 1)) 2) (log (+ 1 N))) (+ (* (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (+ (* (log (- N 1)) 2) (log (+ 1 N))) (+ (* (pow (log N) 2) (/ (log N) (neg (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2))))) (/ (pow (log (+ 1 N)) 3) (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2)))) (pow (log N) 2) (log N) (/ (log N) (neg (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2)))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ 1/24 N) (/ (- 1/12 (/ 1/24 N)) N) (/ 1/2 N) (* (* N N) (neg (neg N))) (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) N) (* (log N) (log (* (+ (* N N) -1) (- N 1)))) (pow (log (+ 1 N)) 3) (pow (log (+ 1 N)) 2))
15.0ms
N
@0
((* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (+ (* (/ 1/2 N) N) N) (- (log (+ N 1)) (log N)) (/ 1 (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (neg (neg N)) (- (log (+ N 1)) (log N)) (/ (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (* (* N N) (neg (neg N)))) (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/ (* (+ (* (log (- N 1)) 2) (log (+ 1 N))) (+ (* (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (* (log N) (log (* (+ (* N N) -1) (- N 1))))) (+ (* (log N) (log (+ 1 N))) (neg (pow (log N) 2))) (* (+ (* (log (- N 1)) 2) (log (+ 1 N))) (+ (* (log N) (log (+ 1 N))) (neg (pow (log N) 2)))) (+ (* (log (- N 1)) 2) (log (+ 1 N))) (+ (* (pow (log N) 2) (/ (log N) (neg (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2))))) (/ (pow (log (+ 1 N)) 3) (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2)))) (pow (log N) 2) (log N) (/ (log N) (neg (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2)))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ 1/24 N) (/ (- 1/12 (/ 1/24 N)) N) (/ 1/2 N) (* (* N N) (neg (neg N))) (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) N) (* (log N) (log (* (+ (* N N) -1) (- N 1)))) (pow (log (+ 1 N)) 3) (pow (log (+ 1 N)) 2))

simplify195.0ms (2.3%)

Memory
-28.8MiB live, 290.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105010163
134059188
081358807
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
Calls
Call 1
Inputs
(/ 1/24 (pow N 2))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))
(/ -1/24 (pow N 3))
(/ (- (* 1/12 N) 1/24) (pow N 3))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (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
(+ 1/2 N)
(+ 1/2 N)
(+ 1/2 N)
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (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))
(* -4 (pow N 4))
(* (pow N 4) (- (* -16/3 N) 4))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
N
N
N
N
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (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 N)
(/ (- (* 1/3 N) 1/4) N)
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) N)
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) N)
(* 2 (/ (* (log -1) (log N)) N))
(/ (+ (* 2 (* (log -1) (log N))) (* N (- (* -1 (/ (+ (* 2 (* (log -1) (log N))) (pow (log N) 2)) (log N))) (* 3 (* (log -1) (log N)))))) N)
(/ (+ (* 2 (* (log -1) (log N))) (* N (- (+ (* -1 (/ (+ (* 2 (* (log -1) (log N))) (pow (log N) 2)) (log N))) (* N (- (* -1 (/ (+ (* -1 (log N)) (+ (* -1 (* (log -1) (log N))) (* 3/2 (pow (log N) 2)))) (log N))) (+ (* 2/3 (* (log -1) (log N))) (* 3/2 (- (* -1 (/ (+ (* 2 (* (log -1) (log N))) (pow (log N) 2)) (log N))) (* 3 (* (log -1) (log N))))))))) (* 3 (* (log -1) (log N)))))) N)
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(fma.f64 (fma.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)) (log.f64 #s(literal -1 binary64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) N) #s(literal -1/3 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3/2 binary64))) N)) (neg.f64 N)))
(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 3 binary64)) (/.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)) N))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) (/.f64 (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 -2 binary64) (-.f64 (neg.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))) (+.f64 (-.f64 #s(literal 1 binary64) (-.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))) N))) N))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) (/.f64 (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 -2 binary64) (-.f64 (/.f64 (-.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 (-.f64 #s(literal 1 binary64) (-.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))) (/.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))) N)) (neg.f64 N)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) N))
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))
(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)))
(-.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 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N)) N))
(-.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 (-.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)) (neg.f64 N))) N))

rewrite174.0ms (2.1%)

Memory
47.7MiB live, 278.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
076520
0127500
1579471
24755459
09119459
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
29 → 534
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))))
(/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N)))
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))
(neg.f64 (neg.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
(/.f64 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N))))
#s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N))
(/.f64 (*.f64 (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)) (fma.f64 (log.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
(fma.f64 (log.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(*.f64 (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)) (fma.f64 (log.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N))
(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(log.f64 N)
(/.f64 (log.f64 N) (neg.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
(/.f64 #s(literal 1/24 binary64) N)
(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)
(/.f64 #s(literal 1/2 binary64) N)
(*.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)
(*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
Outputs
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eval165.0ms (2%)

Memory
0.0MiB live, 271.4MiB allocated
Compiler

Compiled 55 920 to 4 169 computations (92.5% saved)

prune89.0ms (1.1%)

Memory
-33.0MiB live, 130.5MiB allocated
Pruning

36 alts after pruning (30 fresh and 6 done)

PrunedKeptTotal
New1 133111 144
Fresh81927
Picked325
Done044
Total1 144361 180
Accuracy
99.8%
Counts
1 180 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.5%
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N)))))
25.0%
(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)) (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))))
✓25.8%
(fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (log.f64 N) (neg.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
25.4%
(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (-.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
25.3%
(/.f64 (fma.f64 (*.f64 (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)) (log1p.f64 N)) (log.f64 N) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
25.0%
(/.f64 (fma.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (log1p.f64 N))) (neg.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
24.9%
(/.f64 (fma.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (log1p.f64 N)) (log.f64 N) (*.f64 (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
25.8%
(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
✓24.5%
(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))) (*.f64 (log.f64 N) (-.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))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
24.2%
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (*.f64 (*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal -3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (*.f64 (*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal -3 binary64))) (neg.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
23.6%
(/.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)))))
23.5%
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log1p.f64 N) (log1p.f64 N) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
23.1%
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N))) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
23.8%
(/.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (-.f64 N #s(literal 1 binary64))) (log1p.f64 N)) (log.f64 N)) (log1p.f64 N)) (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (log.f64 (-.f64 N #s(literal 1 binary64))) (log1p.f64 N)))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
✓25.3%
(/.f64 (*.f64 (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)) (fma.f64 (log.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
23.6%
(/.f64 (*.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 -1 binary64))) (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
✓23.6%
(-.f64 (log1p.f64 N) (log.f64 N))
26.7%
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
26.3%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
23.6%
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)))
96.4%
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 (pow.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) N)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
96.8%
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 (*.f64 #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) N)) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) N))) #s(literal -1/2 binary64)))
95.4%
#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))
96.7%
#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))
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))
✓92.6%
#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))
84.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
93.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64)))))
93.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))))
97.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) N))))
96.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 N)))))
97.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 #s(approx (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (-.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) N)))) (neg.f64 N)))))
96.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))))))
✓84.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
96.2%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 3) (+ (+ (* -1 (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N)) 1) (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 2))) (/ -1 (+ (+ (* -1 (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N)) 1) (pow (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) 2)))) N) (/.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)))))
3.3%
#s(approx (+ (* (pow (log N) 2) (/ (log N) (neg (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2))))) (/ (pow (log (+ 1 N)) 3) (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2)))) #s(literal 0 binary64))
Compiler

Compiled 4 436 to 1 216 computations (72.6% saved)

regimes43.0ms (0.5%)

Memory
11.2MiB live, 48.3MiB allocated
Counts
74 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (pow (log N) 2) (/ (log N) (neg (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2))))) (/ (pow (log (+ 1 N)) 3) (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2)))) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 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 (-.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(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 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) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N 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))
(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(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 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 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 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 (/.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 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) 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 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)))))
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(/.f64 (fma.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (log1p.f64 N))) (neg.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
(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)) (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (log.f64 N) (log1p.f64 N)) (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N))) #s(literal 2 binary64)) (*.f64 (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)) (-.f64 (*.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (*.f64 (fma.f64 (log.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 2 binary64) (log1p.f64 N)) (-.f64 (*.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) (*.f64 (log.f64 N) (log.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))))))
(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (*.f64 (*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal -3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (*.f64 (*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal -3 binary64))) (neg.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(/.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 3 binary64)) (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 3 binary64))) (+.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 (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))))))))
(/.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))) (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -3 binary64))))) (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal -3 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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)))))
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
Calls

2 calls:

23.0ms
N
16.0ms
(-.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)

regimes16.0ms (0.2%)

Memory
19.2MiB live, 19.2MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (pow (log N) 2) (/ (log N) (neg (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2))))) (/ (pow (log (+ 1 N)) 3) (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2)))) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 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 (-.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(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 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) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N 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))
(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(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 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 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 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 (/.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 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) 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 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)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.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 (*.f64 N N) (neg.f64 (neg.f64 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 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.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(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 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (neg.f64 (neg.f64 N)) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
Calls

2 calls:

8.0ms
N
7.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
99.4%2N
99.4%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes20.0ms (0.2%)

Memory
-23.3MiB live, 19.2MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (pow (log N) 2) (/ (log N) (neg (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2))))) (/ (pow (log (+ 1 N)) 3) (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2)))) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 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 (-.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(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 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) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N 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))
(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(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 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 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 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 (/.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 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) 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 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)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (*.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 (*.f64 N N) (neg.f64 (neg.f64 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 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.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(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 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) (neg.f64 (neg.f64 N)) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) N))))
Calls

2 calls:

12.0ms
N
6.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
97.0%1N
97.0%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes11.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (pow (log N) 2) (/ (log N) (neg (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2))))) (/ (pow (log (+ 1 N)) 3) (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2)))) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 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 (-.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(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 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) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N 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))
(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(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 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 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 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 (/.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))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.f64 N N))))))
Calls

2 calls:

6.0ms
N
5.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
96.9%1N
96.9%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (pow (log N) 2) (/ (log N) (neg (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2))))) (/ (pow (log (+ 1 N)) 3) (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2)))) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 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 (-.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(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 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))
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:

3.0ms
N
3.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
95.4%1N
95.4%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.1%)

Memory
-25.5MiB live, 12.9MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (pow (log N) 2) (/ (log N) (neg (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2))))) (/ (pow (log (+ 1 N)) 3) (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2)))) #s(literal 0 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 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 (-.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(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) (neg (neg N))) (* N N)) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 (neg.f64 N)))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64)))))
Calls

2 calls:

5.0ms
N
3.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
93.3%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
93.3%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (pow (log N) 2) (/ (log N) (neg (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2))))) (/ (pow (log (+ 1 N)) 3) (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2)))) #s(literal 0 binary64))
#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:

2.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
84.7%1N
84.7%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory
6.6MiB live, 6.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (pow (log N) 2) (/ (log N) (neg (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2))))) (/ (pow (log (+ 1 N)) 3) (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2)))) #s(literal 0 binary64))
Outputs
#s(approx (+ (* (pow (log N) 2) (/ (log N) (neg (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2))))) (/ (pow (log (+ 1 N)) 3) (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2)))) #s(literal 0 binary64))
Calls

2 calls:

1.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
3.3%1N
3.3%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0005246081146959014
0.0020905540776237075
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0005246081146959014
0.0020905540776237075
Compiler

Compiled 10 to 10 computations (0% saved)

simplify42.0ms (0.5%)

Memory
7.0MiB live, 85.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102312
1123312
2151312
3173312
4204312
5239312
6294312
7387312
8558312
9810312
10932312
11970312
12976312
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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))))) (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.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(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (+ (* (pow (log N) 2) (/ (log N) (neg (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2))))) (/ (pow (log (+ 1 N)) 3) (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2)))) #s(literal 0 binary64))
Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) N)) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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))))) (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) N)) (log.f64 N)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) (/.f64 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))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) (*.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(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 #s(literal 1/2 binary64) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (+ (* (pow (log N) 2) (/ (log N) (neg (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2))))) (/ (pow (log (+ 1 N)) 3) (+ (* (+ (log (+ 1 N)) (log N)) (log N)) (pow (log (+ 1 N)) 2)))) #s(literal 0 binary64))

soundness1.2s (14.4%)

Memory
-27.6MiB live, 667.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
01519
17019
237819
3352919
0826419
052294
094253
1401244
23022244
08826244
0105010163
134059188
081358807
076520
0127500
1579471
24755459
09119459
08466983
126515526
084725250
088582
1250530
2588528
31591516
44186504
56252504
67306504
08036486
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 602 to 325 computations (46% saved)

preprocess86.0ms (1%)

Memory
14.6MiB live, 130.0MiB allocated
Compiler

Compiled 692 to 266 computations (61.6% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

Profiling

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