2log (problem 3.3.6)

Time bar (total: 8.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%3.2%96.8%0%0%0%0
100%3.2%0%96.8%0%0%0%1
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.5s (18.4%)

Memory
0.9MiB live, 1 407.0MiB allocated
Samples
931.0ms6 421×1valid
196.0ms1 835×0valid
Precisions
Click to see histograms. Total time spent on operations: 914.0ms
ival-log1p: 342.0ms (37.4% of total)
ival-log: 314.0ms (34.4% of total)
adjust: 111.0ms (12.1% of total)
ival-sub: 70.0ms (7.7% of total)
ival->: 33.0ms (3.6% of total)
ival-<: 19.0ms (2.1% of total)
ival-and: 11.0ms (1.2% of total)
exact: 11.0ms (1.2% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain126.0ms (1.5%)

Memory
25.4MiB live, 142.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2510-0-(-.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))cancellation2510
Confusion
Predicted +Predicted -
+2510
-05
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25100
-005
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
05
1251
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
55.0ms410×1valid
6.0ms102×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-log: 14.0ms (31.7% of total)
ival-log1p: 14.0ms (31.7% of total)
adjust: 8.0ms (18.1% of total)
ival-sub: 4.0ms (9.1% of total)
ival-add: 3.0ms (6.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess19.0ms (0.2%)

Memory
-18.0MiB live, 19.7MiB allocated
Algorithm
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
iter limit
saturated
iter limit
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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.7%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 N)
cost-diff0
(+.f64 N #s(literal 1 binary64))
cost-diff0
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
cost-diff192
(log.f64 (+.f64 N #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

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

localize40.0ms (0.5%)

Memory
2.8MiB live, 40.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 N #s(literal 1 binary64))
accuracy0
(log.f64 N)
accuracy0.0078125
(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy50.105194843019206
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Samples
31.0ms205×1valid
3.0ms51×0valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-log1p: 11.0ms (43.9% of total)
ival-log: 6.0ms (23.9% of total)
adjust: 4.0ms (15.9% of total)
ival-sub: 2.0ms (8% of total)
ival-add: 1.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series62.0ms (0.7%)

Memory
-29.5MiB live, 64.0MiB allocated
Counts
4 → 48
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>) () ())
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 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 (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>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
32.0ms
N
@0
((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
21.0ms
N
@-inf
((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))
7.0ms
N
@inf
((log (+ N 1)) (- (log (+ N 1)) (log N)) (+ N 1) (log N))

simplify161.0ms (1.9%)

Memory
28.1MiB live, 144.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite168.0ms (2%)

Memory
14.6MiB live, 165.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
01015
14215
226915
3262715
0884612
Stop Event
iter limit
node limit
iter limit
Counts
4 → 425
Calls
Call 1
Inputs
(log.f64 (+.f64 N #s(literal 1 binary64)))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(+.f64 N #s(literal 1 binary64))
(log.f64 N)
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval95.0ms (1.1%)

Memory
-22.4MiB live, 136.3MiB allocated
Compiler

Compiled 12 820 to 1 568 computations (87.8% saved)

prune44.0ms (0.5%)

Memory
14.8MiB live, 53.5MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New45416470
Fresh000
Picked101
Done000
Total45516471
Accuracy
99.5%
Counts
471 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.2%
(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))))))
22.5%
(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64))) (log.f64 N) (*.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))) (log.f64 N)))
21.7%
(/.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))))))))
21.7%
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)))
21.7%
(-.f64 (/.f64 (pow.f64 (log1p.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))))) (/.f64 (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))))))
21.7%
(-.f64 (log1p.f64 N) (log.f64 N))
21.1%
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))
21.7%
(*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (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))))
21.6%
(*.f64 (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)))
25.1%
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
24.4%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
21.7%
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)))
95.8%
#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))
97.3%
#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))
93.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
85.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Compiler

Compiled 944 to 406 computations (57% saved)

simplify149.0ms (1.8%)

Memory
8.1MiB live, 169.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 N)
cost-diff0
(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
cost-diff0
(/.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))))
cost-diff0
(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))))))
cost-diff0
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))
cost-diff448
(*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64))
cost-diff6336
(log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)))
cost-diff12800
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #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: 2 (0.0ms)

IterNodesCost
049382
084366
1146363
2285361
3848361
43097361
56223361
08277361
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
N
#s(literal 1/3 binary64)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
(log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(/.f64 N (+.f64 #s(literal 1 binary64) N))
N
(+.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64))
(log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 N)
N
(log.f64 N)
#s(literal -1 binary64)
(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))))))
(/.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))))
(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
(log1p.f64 N)
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)))
(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))
(+.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)))
(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)))))
(/.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))
(fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
(-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
N
#s(literal 1/3 binary64)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
(/.f64 N (+.f64 #s(literal 1 binary64) N))
(/.f64 N (+.f64 #s(literal 1 binary64) N))
N
(+.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(neg.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 N)
N
(log.f64 N)
#s(literal -1 binary64)
(neg.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 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)))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(/.f64 (pow.f64 (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))))
(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
(log1p.f64 N)
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)))
(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64))
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))
(+.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)))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(/.f64 (neg.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))
(fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))

localize281.0ms (3.4%)

Memory
-31.0MiB live, 365.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.7287065430532609
(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
accuracy0.754135351663913
(pow.f64 (log.f64 N) #s(literal 3 binary64))
accuracy0.8675693361065218
(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
accuracy48.14675475872491
(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))))))
accuracy0.0078125
(log1p.f64 N)
accuracy0.1875
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))
accuracy3.0518064866100434
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)))
accuracy50.105194843019206
(-.f64 (log1p.f64 N) (log.f64 N))
accuracy0
(+.f64 #s(literal 1 binary64) N)
accuracy0
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
accuracy0.00390625
(/.f64 N (+.f64 #s(literal 1 binary64) N))
accuracy47.94562058603057
(log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
accuracy0
(/.f64 #s(literal 1 binary64) N)
accuracy9.006617534726358
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
accuracy0.0546875
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N)
accuracy0.14453125
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy0.296875
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy1.6765638691421487
#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
208.0ms203×1valid
21.0ms53×0valid
Compiler

Compiled 817 to 96 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 195.0ms
adjust: 60.0ms (30.7% of total)
ival-div: 26.0ms (13.3% of total)
ival-log: 25.0ms (12.8% of total)
ival-pow: 17.0ms (8.7% of total)
ival-sub: 13.0ms (6.7% of total)
ival-log1p: 10.0ms (5.1% of total)
const: 10.0ms (5.1% of total)
ival-pow2: 8.0ms (4.1% of total)
ival-mult: 8.0ms (4.1% of total)
ival-add: 7.0ms (3.6% of total)
ival-exp: 5.0ms (2.6% of total)
ival-neg: 4.0ms (2% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series81.0ms (1%)

Memory
35.5MiB live, 115.7MiB allocated
Counts
24 → 288
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 (exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (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)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.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)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (log1p.f64 N) #s(literal 3 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 #s(literal 1 binary64) N) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (log.f64 N) #s(literal 3 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>) () ())) ())
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#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (log1p.f64 N) #s(literal 4 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 (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>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
31.0ms
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)) (exp (* (log (pow (- (log (+ 1 N)) (log N)) -1)) -1)) (log (pow (- (log (+ 1 N)) (log N)) -1)) (* (log (pow (- (log (+ 1 N)) (log N)) -1)) -1) (pow (- (log (+ 1 N)) (log N)) -1) (+ (* (/ (pow (log (+ 1 N)) 3) (- (pow (log (+ 1 N)) 4) (pow (* (+ (log N) (log (+ 1 N))) (log N)) 2))) (- (pow (log (+ 1 N)) 2) (* (+ (log N) (log (+ 1 N))) (log N)))) (neg (/ (pow (log N) 3) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))))) (/ (pow (log (+ 1 N)) 3) (- (pow (log (+ 1 N)) 4) (pow (* (+ (log N) (log (+ 1 N))) (log N)) 2))) (pow (log (+ 1 N)) 3) (log (+ 1 N)) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (+ 1 N) (- (log (+ 1 N)) (log N)) (pow (log (+ 1 N)) 4) (pow (log N) 3))
25.0ms
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)) (exp (* (log (pow (- (log (+ 1 N)) (log N)) -1)) -1)) (log (pow (- (log (+ 1 N)) (log N)) -1)) (* (log (pow (- (log (+ 1 N)) (log N)) -1)) -1) (pow (- (log (+ 1 N)) (log N)) -1) (+ (* (/ (pow (log (+ 1 N)) 3) (- (pow (log (+ 1 N)) 4) (pow (* (+ (log N) (log (+ 1 N))) (log N)) 2))) (- (pow (log (+ 1 N)) 2) (* (+ (log N) (log (+ 1 N))) (log N)))) (neg (/ (pow (log N) 3) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))))) (/ (pow (log (+ 1 N)) 3) (- (pow (log (+ 1 N)) 4) (pow (* (+ (log N) (log (+ 1 N))) (log N)) 2))) (pow (log (+ 1 N)) 3) (log (+ 1 N)) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (+ 1 N) (- (log (+ 1 N)) (log N)) (pow (log (+ 1 N)) 4) (pow (log N) 3))
13.0ms
N
@0
((- (log (+ N 1)) (log N)) (/ (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) N) (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (- (log (+ N 1)) (log N)) (/ 1 N) (/ (/ N (+ 1 N)) 1) (neg (log (/ (/ N (+ 1 N)) 1))) (log (/ (/ N (+ 1 N)) 1)) (/ N (+ 1 N)) (exp (* (log (pow (- (log (+ 1 N)) (log N)) -1)) -1)) (log (pow (- (log (+ 1 N)) (log N)) -1)) (* (log (pow (- (log (+ 1 N)) (log N)) -1)) -1) (pow (- (log (+ 1 N)) (log N)) -1) (+ (* (/ (pow (log (+ 1 N)) 3) (- (pow (log (+ 1 N)) 4) (pow (* (+ (log N) (log (+ 1 N))) (log N)) 2))) (- (pow (log (+ 1 N)) 2) (* (+ (log N) (log (+ 1 N))) (log N)))) (neg (/ (pow (log N) 3) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))))) (/ (pow (log (+ 1 N)) 3) (- (pow (log (+ 1 N)) 4) (pow (* (+ (log N) (log (+ 1 N))) (log N)) 2))) (pow (log (+ 1 N)) 3) (log (+ 1 N)) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (+ 1 N) (- (log (+ 1 N)) (log N)) (pow (log (+ 1 N)) 4) (pow (log N) 3))

simplify252.0ms (3.1%)

Memory
-33.0MiB live, 213.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093813600
1309411641
0851811193
Stop Event
iter limit
node limit
Counts
288 → 281
Calls
Call 1
Inputs
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(* -1 (log N))
(- N (log N))
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(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 4 binary64))) (neg.f64 N))) N))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64)) (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64)) #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64) #s(literal 1 binary64))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)))) N)) (neg.f64 N))) N))
(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))

rewrite259.0ms (3.1%)

Memory
19.5MiB live, 140.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049247
084235
1379225
22714221
09392221
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 155
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))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)))
(*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))
(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))))))
(/.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))))
(pow.f64 (log1p.f64 N) #s(literal 3 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 #s(literal 1 binary64) N)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
Outputs
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eval532.0ms (6.4%)

Memory
-7.6MiB live, 498.3MiB allocated
Compiler

Compiled 86 741 to 7 333 computations (91.5% saved)

prune125.0ms (1.5%)

Memory
7.7MiB live, 131.4MiB allocated
Pruning

35 alts after pruning (33 fresh and 2 done)

PrunedKeptTotal
New1 884281 912
Fresh6511
Picked325
Done000
Total1 893351 928
Accuracy
99.7%
Counts
1 928 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.2%
(fma.f64 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) #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))))))
23.2%
(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))) #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))))))
23.7%
(fma.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (-.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (-.f64 (log1p.f64 N) (/.f64 (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))))))
23.3%
(fma.f64 (*.f64 (/.f64 (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 (log1p.f64 N) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))))) (-.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))))))
23.2%
(fma.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (-.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))) #s(literal -1 binary64)) (/.f64 (neg.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)))))
23.1%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
23.1%
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (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 (-.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))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (*.f64 (-.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))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
21.7%
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)))
21.7%
(-.f64 (/.f64 (pow.f64 (log1p.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))))) (/.f64 (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))))))
21.7%
(-.f64 (log1p.f64 N) (log.f64 N))
21.1%
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N (neg.f64 N))))
19.5%
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))))
25.1%
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
95.8%
(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)))
97.3%
(neg.f64 #s(approx (log (/ (/ N (+ 1 N)) 1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) N)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64))) N)))
24.4%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
24.4%
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal -1 binary64))) #s(literal -1 binary64)))
93.1%
(exp.f64 (*.f64 (log.f64 #s(approx (pow (- (log (+ 1 N)) (log 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)))
21.7%
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
92.7%
(exp.f64 #s(approx (* (log (pow (- (log (+ 1 N)) (log N)) -1)) -1) (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 5/24 binary64) (*.f64 N N)) (log.f64 N)) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/8 binary64) (pow.f64 N #s(literal 3 binary64))))))
85.5%
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
95.8%
#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))
97.3%
#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))
97.3%
#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))
97.3%
#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))
95.8%
#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))
97.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N #s(literal -1 binary64))) (*.f64 N N)))
93.2%
#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))
97.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) N))
97.3%
#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)))))
85.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
97.2%
#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)) (*.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)))) (/.f64 #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))))))
97.2%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N)))
97.2%
#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)))
96.8%
#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 2 052 to 1 163 computations (43.3% saved)

simplify153.0ms (1.8%)

Memory
22.2MiB live, 59.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (log.f64 N) (log1p.f64 N))
cost-diff1088
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))
cost-diff25920
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
cost-diff27328
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))))
cost-diff0
(log.f64 (fma.f64 N N (neg.f64 N)))
cost-diff0
(fma.f64 N N #s(literal -1 binary64))
cost-diff0
(log.f64 (fma.f64 N N #s(literal -1 binary64)))
cost-diff0
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N (neg.f64 N))))
cost-diff0
(/.f64 #s(literal -1/2 binary64) N)
cost-diff0
(/.f64 (/.f64 #s(literal -1/2 binary64) N) N)
cost-diff0
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N)))
cost-diff1408
(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N))
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: 4 (0.0ms)

IterNodesCost
053436
088410
1145410
2258402
3712386
42368384
09610384
Stop Event
iter limit
node limit
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 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N)))
(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N))
(/.f64 (/.f64 #s(literal -1/2 binary64) N) N)
(/.f64 #s(literal -1/2 binary64) N)
#s(literal -1/2 binary64)
N
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N)
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N (neg.f64 N))))
(log.f64 (fma.f64 N N #s(literal -1 binary64)))
(fma.f64 N N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(log.f64 (fma.f64 N N (neg.f64 N)))
(fma.f64 N N (neg.f64 N))
(neg.f64 N)
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 N)
N
(log1p.f64 N)
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))
#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 #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 #s(literal -1/2 binary64) N) N)
(/.f64 #s(literal -1/2 binary64) N)
#s(literal -1/2 binary64)
N
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N)
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N (neg.f64 N))))
(log.f64 (fma.f64 N N #s(literal -1 binary64)))
(fma.f64 N N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(log.f64 (fma.f64 N N (neg.f64 N)))
(fma.f64 N N (neg.f64 N))
(neg.f64 N)
(-.f64 (log1p.f64 N) (log.f64 N))
(/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log1p.f64 N) (log.f64 N))
(log.f64 N)
N
(log1p.f64 N)
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))
#s(literal -1 binary64)

localize347.0ms (4.2%)

Memory
-31.0MiB live, 243.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.5270500488422101
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy0.5706825683790941
(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy49.7731226128682
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
accuracy50.105194843019206
(-.f64 (log1p.f64 N) (log.f64 N))
accuracy0
(neg.f64 N)
accuracy0.00390625
(log.f64 (fma.f64 N N (neg.f64 N)))
accuracy0.006191259768442017
(log.f64 (fma.f64 N N #s(literal -1 binary64)))
accuracy50.478051941710405
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N (neg.f64 N))))
accuracy0.265625
(/.f64 (/.f64 #s(literal -1/2 binary64) N) N)
accuracy0.28515625
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N)
accuracy0.296875
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy1.6765638691421487
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N)))
accuracy0
(-.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) #s(literal -1 binary64))
accuracy0.05078125
(/.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)
accuracy1.6765638691421487
#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))
accuracy9.141681054846703
#s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N))
accuracy0.0625
(/.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))))
accuracy0.14453125
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy0.296875
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
accuracy1.6765638691421487
#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
207.0ms205×1valid
50.0ms50×0valid
1.0ms2valid
Compiler

Compiled 838 to 99 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 210.0ms
const: 41.0ms (19.6% of total)
adjust: 38.0ms (18.1% of total)
ival-log1p: 34.0ms (16.2% of total)
ival-div: 32.0ms (15.3% of total)
ival-log: 19.0ms (9.1% of total)
ival-sub: 16.0ms (7.6% of total)
ival-pow2: 15.0ms (7.2% of total)
ival-add: 6.0ms (2.9% of total)
ival-mult: 6.0ms (2.9% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series61.0ms (0.7%)

Memory
33.6MiB live, 72.7MiB allocated
Counts
28 → 336
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 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1/2 binary64) N) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N (neg.f64 N)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 (fma.f64 N N #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 N N #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 (fma.f64 N N (neg.f64 N))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (log.f64 N) (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 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 N) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (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 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
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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 N) N) (/ (- (/ (/ (- (/ 1/4 N) 1/3) N) N) 1) N)) (- (log (+ N 1)) (log N)) (/ (/ -1/2 N) N) (/ -1/2 N) (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (log (+ (* N N) -1)) (+ (* N N) -1) (log (+ (* N N) (neg N))) (* (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (/ (- (log (+ 1 N)) (log N)) (/ -1 (- (log (+ 1 N)) (log N))))) (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (/ (- (log (+ 1 N)) (log N)) (/ -1 (- (log (+ 1 N)) (log N)))) (+ (log N) (log (+ 1 N))) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ (/ (- (/ 1/4 N) 1/3) N) N) (neg N) (- (log (+ 1 N)) (log N)) (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (pow (log N) 2) (pow (log (+ 1 N)) 2))
13.0ms
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 N) N) (/ (- (/ (/ (- (/ 1/4 N) 1/3) N) N) 1) N)) (- (log (+ N 1)) (log N)) (/ (/ -1/2 N) N) (/ -1/2 N) (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (log (+ (* N N) -1)) (+ (* N N) -1) (log (+ (* N N) (neg N))) (* (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (/ (- (log (+ 1 N)) (log N)) (/ -1 (- (log (+ 1 N)) (log N))))) (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (/ (- (log (+ 1 N)) (log N)) (/ -1 (- (log (+ 1 N)) (log N)))) (+ (log N) (log (+ 1 N))) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ (/ (- (/ 1/4 N) 1/3) N) N) (neg N) (- (log (+ 1 N)) (log N)) (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (pow (log N) 2) (pow (log (+ 1 N)) 2))
13.0ms
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 N) N) (/ (- (/ (/ (- (/ 1/4 N) 1/3) N) N) 1) N)) (- (log (+ N 1)) (log N)) (/ (/ -1/2 N) N) (/ -1/2 N) (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (log (+ (* N N) -1)) (+ (* N N) -1) (log (+ (* N N) (neg N))) (* (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (/ (- (log (+ 1 N)) (log N)) (/ -1 (- (log (+ 1 N)) (log N))))) (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (/ (- (log (+ 1 N)) (log N)) (/ -1 (- (log (+ 1 N)) (log N)))) (+ (log N) (log (+ 1 N))) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ (/ (- (/ 1/4 N) 1/3) N) N) (neg N) (- (log (+ 1 N)) (log N)) (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (pow (log N) 2) (pow (log (+ 1 N)) 2))

simplify250.0ms (3%)

Memory
-29.8MiB live, 185.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06575612
120575188
271405179
080914916
Stop Event
iter limit
node limit
Counts
336 → 334
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))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ (- (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 1) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* -1 (/ (- (+ (* -1 (- (* 1/2 (/ (- (* 11/12 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) 3/2) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* 1/2 (/ (- (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 1) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (* 1/2 (/ (- (* 5/6 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) 7/4) (* N (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* 1/2 (/ (- (* 11/12 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) 3/2) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* 1/2 (/ (- (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 1) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (* N (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1/2 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (- (* 1/2 (/ (- (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 1) (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (* N (+ (log -1) (* -1 (log (/ -1 N))))))) (* -1/4 (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))))) N))) N)) (* -1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (log -1) (* -1 (log (/ -1 N))))))) N))
(* -1/2 (/ (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (+ (log -1) (* -1 (log (/ -1 N))))))
(* -1 (* N (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* 1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (log -1) (* -1 (log (/ -1 N)))))) (/ 1/2 (* N (+ (log -1) (* -1 (log (/ -1 N))))))))))
(* -1 (* N (+ (* -1 (/ (- (+ (* -1/4 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* 1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (* N (+ (log -1) (* -1 (log (/ -1 N))))))) (/ 1/4 (* N (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* 1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (log -1) (* -1 (log (/ -1 N)))))))))
(* -1 (* N (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* 1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/4 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))) (* 1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (* N (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* 1/2 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (* N (+ (log -1) (* -1 (log (/ -1 N))))))) (/ 1/6 (* N (+ (log -1) (* -1 (log (/ -1 N))))))))) (+ (* -1/4 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))) (* 1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* 1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (log -1) (* -1 (log (/ -1 N)))))))))
(/ -1 (pow N 2))
(/ (- (/ 1 N) 1) (pow N 2))
(/ (- (* -1 (/ (- (* 11/12 (/ 1 N)) 1) N)) 1) (pow N 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 5/6 (/ 1 N)) 11/12) N)) 1) N)) 1) (pow N 2))
(+ (* -2 (log (/ -1 N))) (* 2 (log -1)))
(+ (* -2 (log (/ -1 N))) (+ (* 2 (log -1)) (/ 1 N)))
(+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) (* 2 (log -1))))
(+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) (* 2 (log -1))))
(/ -1/3 N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(/ -1/3 (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(* -1 N)
(* -1 N)
(* -1 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))
(* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ 1 N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))
(* -1 (/ (- (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ 1 N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (* 11/12 (/ 1 N))) (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
Outputs
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.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)))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(*.f64 #s(literal -4 binary64) (pow.f64 N #s(literal 4 binary64)))
(*.f64 (fma.f64 #s(literal -16/3 binary64) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal 8/9 binary64) N #s(literal -16/3 binary64)) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -112/27 binary64) N #s(literal 8/9 binary64)) N #s(literal -16/3 binary64)) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
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(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.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)))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.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)))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(/.f64 #s(literal -1/2 binary64) (*.f64 N N))
(/.f64 #s(literal -1/2 binary64) (*.f64 N N))
(/.f64 #s(literal -1/2 binary64) (*.f64 N N))
(/.f64 #s(literal -1/2 binary64) (*.f64 N N))
(/.f64 #s(literal -1/2 binary64) N)
(/.f64 #s(literal -1/2 binary64) N)
(/.f64 #s(literal -1/2 binary64) N)
(/.f64 #s(literal -1/2 binary64) N)
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(log.f64 #s(literal -1 binary64))
(fma.f64 (neg.f64 N) N (log.f64 #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 N N) #s(literal -1/2 binary64) #s(literal -1 binary64)) N) N (log.f64 #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 N N) #s(literal -1/2 binary64)) (*.f64 N N) #s(literal -1 binary64)) N) N (log.f64 #s(literal -1 binary64)))
#s(literal -1 binary64)
(fma.f64 N N #s(literal -1 binary64))
(fma.f64 N N #s(literal -1 binary64))
(fma.f64 N N #s(literal -1 binary64))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N))
(+.f64 (-.f64 (log.f64 N) N) (log.f64 #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal -1 binary64)) N (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal -1 binary64)) N (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(/.f64 #s(literal 1 binary64) (log.f64 N))
(+.f64 (/.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 N)))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N (/.f64 #s(literal 1 binary64) (log.f64 N)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) N (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) N (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N (/.f64 #s(literal 1 binary64) (log.f64 N)))
(neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) N) (log.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (log.f64 N)) N (*.f64 #s(literal 2 binary64) (log.f64 N))) N (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (log.f64 N) #s(literal -1 binary64)) N (+.f64 (log.f64 N) #s(literal 1 binary64)))) N (*.f64 #s(literal 2 binary64) (log.f64 N))) N (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(log.f64 N)
(+.f64 (log.f64 N) N)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (log.f64 N))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (log.f64 N))
(/.f64 #s(literal 1/4 binary64) (*.f64 N N))
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(/.f64 (/.f64 #s(literal -1 binary64) N) N)
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N) N)
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 11/12 binary64) N) #s(literal 1 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) N) N)
(/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 5/6 binary64) N) #s(literal 11/12 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) N) N)
(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)))
(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 #s(literal 1 binary64) N)))
(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 #s(literal 1/2 binary64) N)) N)))
(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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)))
(/.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))
(/.f64 #s(literal -1/3 binary64) (*.f64 N N))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N)
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N)
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N)
(neg.f64 N)
(neg.f64 N)
(neg.f64 N)
(neg.f64 N)
(/.f64 #s(literal 1 binary64) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 #s(literal -2 binary64) N))
(/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N)) (neg.f64 N))
(/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64) (/.f64 (-.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 #s(literal -2/3 binary64) N) (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (neg.f64 N))) (neg.f64 N))
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(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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))
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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))
(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))

rewrite238.0ms (2.9%)

Memory
17.6MiB live, 214.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053336
088314
1410279
23519274
08294274
Stop Event
iter limit
node limit
iter limit
Counts
28 → 1 188
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))))
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(/.f64 N (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #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 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N)))
(/.f64 (/.f64 #s(literal -1/2 binary64) N) N)
(/.f64 #s(literal -1/2 binary64) N)
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N (neg.f64 N))))
(log.f64 (fma.f64 N N #s(literal -1 binary64)))
(fma.f64 N N #s(literal -1 binary64))
(log.f64 (fma.f64 N N (neg.f64 N)))
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 N) (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 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N)
(neg.f64 N)
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
Outputs
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eval288.0ms (3.5%)

Memory
22.8MiB live, 484.6MiB allocated
Compiler

Compiled 63 945 to 5 388 computations (91.6% saved)

prune74.0ms (0.9%)

Memory
-20.5MiB live, 221.6MiB allocated
Pruning

32 alts after pruning (29 fresh and 3 done)

PrunedKeptTotal
New1 748151 763
Fresh141428
Picked325
Done112
Total1 766321 798
Accuracy
99.7%
Counts
1 798 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.2%
(fma.f64 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) #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))))))
23.2%
(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))) #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))))))
23.2%
(fma.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (-.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))) #s(literal -1 binary64)) (/.f64 (neg.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)))))
23.1%
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
23.1%
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (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 (-.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))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (*.f64 (-.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))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
21.7%
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)))
21.7%
(-.f64 (log1p.f64 N) (log.f64 N))
21.1%
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N (neg.f64 N))))
19.3%
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (fma.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 N)))))
19.5%
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) #s(literal -1 binary64)))
19.2%
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))))))
20.1%
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))))
20.1%
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))))))
18.0%
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)))))
19.5%
(*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))))
25.1%
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
24.4%
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
24.4%
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal -1 binary64))) #s(literal -1 binary64)))
93.1%
(exp.f64 (*.f64 (log.f64 #s(approx (pow (- (log (+ 1 N)) (log 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)))
21.7%
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
95.8%
#s(approx (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
97.3%
#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))
95.8%
#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))
92.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N)))
93.2%
#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))
96.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (*.f64 (/.f64 N (/.f64 #s(literal -1/2 binary64) N)) (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 N (/.f64 #s(literal -1/2 binary64) N)) N)))
93.8%
#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))))
97.6%
#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)))))
96.3%
#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 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) N))))
85.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
97.2%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) #s(literal -1 binary64)))))
96.8%
#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 1 910 to 1 102 computations (42.3% saved)

simplify104.0ms (1.3%)

Memory
-6.2MiB live, 150.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff1088
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64))))))
cost-diff6080
(*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))
cost-diff25920
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
cost-diff27328
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))))))
cost-diff0
(neg.f64 (log.f64 N))
cost-diff0
(log1p.f64 N)
cost-diff0
(sqrt.f64 (log1p.f64 N))
cost-diff8000
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
cost-diff-5568
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
cost-diff0
(+.f64 N #s(literal 1 binary64))
cost-diff0
(/.f64 (+.f64 N #s(literal 1 binary64)) 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
057441
093402
1164398
2319377
3789361
42737351
57455351
08122341
Stop Event
iter limit
node limit
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
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(/.f64 (+.f64 N #s(literal 1 binary64)) N)
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(sqrt.f64 (log1p.f64 N))
(log1p.f64 N)
N
(neg.f64 (log.f64 N))
(log.f64 N)
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))))))
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 N)
N
(log1p.f64 N)
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64))))))
(-.f64 (log1p.f64 N) (log.f64 N))
(/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))))
#s(literal -1 binary64)
(log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64))))
(*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))
(pow.f64 N #s(literal -1 binary64))
(+.f64 N #s(literal 1 binary64))
#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)) (+.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
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(+.f64 #s(literal 1 binary64) N)
N
#s(literal 1 binary64)
(-.f64 (log1p.f64 N) (log.f64 N))
(sqrt.f64 (log1p.f64 N))
(log1p.f64 N)
N
(neg.f64 (log.f64 N))
(log.f64 N)
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 N) (log1p.f64 N)))
(+.f64 (log.f64 N) (log1p.f64 N))
(log.f64 N)
N
(log1p.f64 N)
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 (pow.f64 N #s(literal -1 binary64))))
(-.f64 (log1p.f64 N) (log.f64 N))
(/.f64 #s(literal -1 binary64) (log1p.f64 (pow.f64 N #s(literal -1 binary64))))
#s(literal -1 binary64)
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(pow.f64 N #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)

localize293.0ms (3.5%)

Memory
-3.7MiB live, 486.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.5605850586106521
(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy48.21724989172896
(log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64))))
accuracy49.52729773706648
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
accuracy49.86331190405408
(-.f64 (log1p.f64 N) (log.f64 N))
accuracy0
(log.f64 N)
accuracy0.0078125
(log1p.f64 N)
accuracy0.09765625
(sqrt.f64 (log1p.f64 N))
accuracy48.899458271725
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
accuracy0
(+.f64 N #s(literal 1 binary64))
accuracy0.0078125
(/.f64 (+.f64 N #s(literal 1 binary64)) N)
accuracy48.21724989172896
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
accuracy0
(/.f64 #s(literal 1/2 binary64) N)
accuracy0.0625
(/.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)))
accuracy1.494175029596092
#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))))
accuracy3.7867334044423897
#s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))
accuracy0.28125
(/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)
accuracy0.36328125
(/.f64 #s(literal 1/24 binary64) N)
accuracy1.485891199098502
#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)))
accuracy1.494175029596092
#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)))))
Samples
214.0ms204×1valid
23.0ms50×0valid
3.0ms5exit
Compiler

Compiled 807 to 112 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 199.0ms
ival-div: 33.0ms (16.6% of total)
const: 31.0ms (15.6% of total)
ival-log: 28.0ms (14.1% of total)
adjust: 19.0ms (9.6% of total)
ival-pow: 17.0ms (8.5% of total)
ival-mult: 17.0ms (8.5% of total)
ival-sub: 16.0ms (8% of total)
ival-log1p: 12.0ms (6% of total)
ival-add: 9.0ms (4.5% of total)
ival-pow2: 8.0ms (4% of total)
ival-sqrt: 3.0ms (1.5% of total)
ival-neg: 3.0ms (1.5% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series57.0ms (0.7%)

Memory
-11.6MiB live, 150.6MiB allocated
Counts
28 → 336
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 (/.f64 (+.f64 N #s(literal 1 binary64)) N) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (log1p.f64 N)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log1p.f64 N) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (log.f64 N)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64))))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 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 (log.f64 N) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (log1p.f64 N) (log.f64 N)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (log.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 (log.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (log.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (log.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf N) (#s(alt #<batchref> (patch (pow.f64 (log.f64 N) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
15.0ms
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)) (/ (+ N 1) N) (+ N 1) (log (/ (+ N 1) N)) (+ (* (sqrt (log (+ 1 N))) (sqrt (log (+ 1 N)))) (neg (log N))) (sqrt (log (+ 1 N))) (log (+ 1 N)) (neg (log N)) (* (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (/ (- (log (+ 1 N)) (log N)) (/ -1 (log (* (pow N -1) (+ N 1)))))) (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (* (pow N -1) (+ N 1)) (/ (- (log (+ 1 N)) (log N)) (/ -1 (log (* (pow N -1) (+ N 1))))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ 1/24 N) (/ (- 1/12 (/ 1/24 N)) N) (/ 1/2 N) (log N) (- (log (+ 1 N)) (log N)) (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (* (pow N -1) (+ N 1))) (pow (log N) 2))
13.0ms
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)) (/ (+ N 1) N) (+ N 1) (log (/ (+ N 1) N)) (+ (* (sqrt (log (+ 1 N))) (sqrt (log (+ 1 N)))) (neg (log N))) (sqrt (log (+ 1 N))) (log (+ 1 N)) (neg (log N)) (* (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (/ (- (log (+ 1 N)) (log N)) (/ -1 (log (* (pow N -1) (+ N 1)))))) (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (* (pow N -1) (+ N 1)) (/ (- (log (+ 1 N)) (log N)) (/ -1 (log (* (pow N -1) (+ N 1))))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ 1/24 N) (/ (- 1/12 (/ 1/24 N)) N) (/ 1/2 N) (log N) (- (log (+ 1 N)) (log N)) (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (* (pow N -1) (+ N 1))) (pow (log N) 2))
13.0ms
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)) (/ (+ N 1) N) (+ N 1) (log (/ (+ N 1) N)) (+ (* (sqrt (log (+ 1 N))) (sqrt (log (+ 1 N)))) (neg (log N))) (sqrt (log (+ 1 N))) (log (+ 1 N)) (neg (log N)) (* (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (/ (- (log (+ 1 N)) (log N)) (/ -1 (log (* (pow N -1) (+ N 1)))))) (/ (+ (log N) (log (+ 1 N))) (- (pow (log N) 2) (pow (log (+ 1 N)) 2))) (* (pow N -1) (+ N 1)) (/ (- (log (+ 1 N)) (log N)) (/ -1 (log (* (pow N -1) (+ N 1))))) (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/ 1/24 N) (/ (- 1/12 (/ 1/24 N)) N) (/ 1/2 N) (log N) (- (log (+ 1 N)) (log N)) (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (* (pow N -1) (+ N 1))) (pow (log N) 2))

simplify169.0ms (2%)

Memory
-2.7MiB live, 239.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07165862
123275139
083384948
Stop Event
iter limit
node limit
Counts
336 → 325
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))
(/ 1 N)
(/ (+ 1 N) N)
(/ (+ 1 N) N)
(/ (+ 1 N) N)
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 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))
(sqrt N)
(+ (sqrt N) (* -1/4 (sqrt (pow N 3))))
(+ (sqrt N) (* (pow N 2) (+ (* -1/4 (sqrt (/ 1 N))) (* 1/6 (sqrt N)))))
(+ (sqrt N) (* (pow N 2) (+ (* -1/4 (sqrt (/ 1 N))) (* N (+ (* -1/2 (* (sqrt N) (+ 1/4 (* 1/16 (/ 1 N))))) (* 1/6 (sqrt (/ 1 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 N))
(* -1 (log N))
(* -1 (log N))
(* -1 (log N))
(* -1 (log N))
(+ (* -1 (log N)) (* -1 (* N (- (* -1 (/ (+ (log N) (* -1 (log N))) (log N))) 1))))
(+ (* -1 (log N)) (* N (+ (* -1 (* N (+ 1/2 (+ (* -1 (/ (+ 1 (+ (* -1/2 (log N)) (* 1/2 (log N)))) (log N))) (/ 1 (log N)))))) (* -1 (- (* -1 (/ (+ (log N) (* -1 (log N))) (log N))) 1)))))
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(/ 1 (log N))
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(* -1/2 (/ (* N (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (+ (log -1) (* -1 (log (/ -1 N))))))
(* -1 (* N (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* 1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (log -1) (* -1 (log (/ -1 N)))))) (/ 1/2 (* N (+ (log -1) (* -1 (log (/ -1 N))))))))))
(* -1 (* N (+ (* -1 (/ (- (+ (* -1/4 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* 1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (* N (+ (log -1) (* -1 (log (/ -1 N))))))) (/ 1/4 (* N (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* 1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (log -1) (* -1 (log (/ -1 N)))))))))
(* -1 (* N (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* 1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/4 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))) (* 1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) (* N (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* 1/2 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (* N (+ (log -1) (* -1 (log (/ -1 N))))))) (/ 1/6 (* N (+ (log -1) (* -1 (log (/ -1 N))))))))) (+ (* -1/4 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (+ (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))) (* 1/2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (log -1) (* -1 (log (/ -1 N))))))))) N)) (+ (* -1/4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)) (* 1/2 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) (+ (log -1) (* -1 (log (/ -1 N)))))))))
1
(+ 1 (/ 1 N))
(+ 1 (/ 1 N))
(+ 1 (/ 1 N))
(/ -1 (pow N 2))
(/ (- (/ 1 N) 1) (pow N 2))
(/ (- (* -1 (/ (- (* 11/12 (/ 1 N)) 1) N)) 1) (pow N 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 5/6 (/ 1 N)) 11/12) N)) 1) N)) 1) (pow N 2))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(/ 1/24 N)
(/ 1/24 N)
(/ 1/24 N)
(/ 1/24 N)
(/ 1/12 N)
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 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))
(* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ 1 N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))
(* -1 (/ (- (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ 1 N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (* 11/12 (/ 1 N))) (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
Outputs
(/.f64 (/.f64 #s(literal 1/24 binary64) N) N)
(/.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) N #s(literal 1/24 binary64)) N) N)
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N)
(/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N)
(/.f64 #s(literal -1/24 binary64) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal 1/12 binary64) N #s(literal -1/24 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/12 binary64)) N #s(literal -1/24 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1/2 binary64)) N #s(literal 1/12 binary64)) N #s(literal -1/24 binary64)) (pow.f64 N #s(literal 3 binary64)))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.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)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) N)
(+.f64 #s(literal 1/2 binary64) N)
(+.f64 #s(literal 1/2 binary64) N)
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.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)))
(*.f64 #s(literal -4 binary64) (pow.f64 N #s(literal 4 binary64)))
(*.f64 (fma.f64 #s(literal -16/3 binary64) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal 8/9 binary64) N #s(literal -16/3 binary64)) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -112/27 binary64) N #s(literal 8/9 binary64)) N #s(literal -16/3 binary64)) N #s(literal -4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) N)
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) N)
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(sqrt.f64 N)
(fma.f64 (sqrt.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal -1/4 binary64) (sqrt.f64 N))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 N))) (*.f64 N N) (sqrt.f64 N))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) N) #s(literal 1/4 binary64)) (sqrt.f64 N)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) N)))) N (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal -1/4 binary64))) (*.f64 N N) (sqrt.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)
(neg.f64 (log.f64 N))
(neg.f64 (log.f64 N))
(neg.f64 (log.f64 N))
(neg.f64 (log.f64 N))
(neg.f64 (log.f64 N))
(neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal 1 binary64)) N (log.f64 N)))
(fma.f64 (fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 #s(literal 1 binary64) (log.f64 N))) #s(literal -1/2 binary64)) N (+.f64 (/.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal 1 binary64))) N (neg.f64 (log.f64 N)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 N))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 N))) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal 1 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 N) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 N)) (/.f64 #s(literal 1 binary64) (log.f64 N))) #s(literal -1/2 binary64))) N (+.f64 (/.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal 1 binary64))) N (neg.f64 (log.f64 N)))
(/.f64 #s(literal 1 binary64) (log.f64 N))
(+.f64 (/.f64 N (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 N)))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N (/.f64 #s(literal 1 binary64) (log.f64 N)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) N (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) N (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) N (/.f64 #s(literal 1 binary64) (log.f64 N)))
(/.f64 #s(literal 1 binary64) N)
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) N) (log.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (log.f64 N)) N (*.f64 #s(literal 2 binary64) (log.f64 N))) N (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (log.f64 N) #s(literal -1 binary64)) N (+.f64 (log.f64 N) #s(literal 1 binary64)))) N (*.f64 #s(literal 2 binary64) (log.f64 N))) N (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
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(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))

rewrite176.0ms (2.1%)

Memory
5.8MiB live, 194.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057369
093324
1442297
23586295
08825286
Stop Event
iter limit
node limit
iter limit
Counts
28 → 1 139
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))
(/.f64 (+.f64 N #s(literal 1 binary64)) N)
(+.f64 N #s(literal 1 binary64))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(sqrt.f64 (log1p.f64 N))
(log1p.f64 N)
(neg.f64 (log.f64 N))
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))))))
(/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))
(/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.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 #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)
(log.f64 N)
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64))))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
Outputs
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eval245.0ms (3%)

Memory
25.3MiB live, 368.6MiB allocated
Compiler

Compiled 58 983 to 4 870 computations (91.7% saved)

prune68.0ms (0.8%)

Memory
11.8MiB live, 134.7MiB allocated
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New1 794101 804
Fresh15924
Picked415
Done213
Total1 815211 836
Accuracy
100.0%
Counts
1 836 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))
20.1%
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))))
32.5%
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log1p.f64 N))))
25.1%
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
99.8%
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
24.3%
(log.f64 #s(approx (/ (+ N 1) N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
95.8%
#s(approx (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
97.3%
#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))
95.8%
#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))
92.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N)))
96.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (*.f64 (/.f64 N (/.f64 #s(literal -1/2 binary64) N)) (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 N (/.f64 #s(literal -1/2 binary64) N)) N)))
93.8%
#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))))
93.7%
#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 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64))))))
93.8%
#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)))))
97.6%
#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 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)) (neg.f64 N)))))
96.3%
#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 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) N))))
97.6%
#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) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N) #s(literal -1 binary64)) (neg.f64 N)))))
93.8%
#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))))
97.5%
#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 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N)))))
85.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
96.8%
#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 2 826 to 867 computations (69.3% saved)

regimes37.0ms (0.5%)

Memory
6.6MiB live, 44.2MiB allocated
Counts
70 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #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(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
(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)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #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 (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 (/.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) 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 (/.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)) (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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (/.f64 #s(literal -1 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 (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 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N #s(literal -1 binary64))) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N)))
(log.f64 #s(approx (/ (+ N 1) N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
#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)))))
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) N))
(neg.f64 #s(approx (log (/ (/ N (+ 1 N)) 1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) N)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64))) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (*.f64 (/.f64 N (/.f64 #s(literal -1/2 binary64) N)) (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 N (/.f64 #s(literal -1/2 binary64) N)) N)))
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))
(-.f64 (log.f64 (fma.f64 N N #s(literal -1 binary64))) (log.f64 (fma.f64 N N (neg.f64 N))))
(exp.f64 (*.f64 (log.f64 #s(approx (pow (- (log (+ 1 N)) (log 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 (- (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)) (*.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)))) (/.f64 #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))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
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(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) #s(approx (- (log (+ 1 N)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)))))
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (log.f64 (fma.f64 N N N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))))
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal 1 binary64)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 N) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (fma.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (log1p.f64 N) (*.f64 (-.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (log.f64 N)))))
(*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (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))))
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (+.f64 (log.f64 N) (log1p.f64 N))))
(-.f64 (/.f64 (pow.f64 (log1p.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))))) (/.f64 (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))))))
(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))))))
(fma.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (-.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))))) #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))))))
(fma.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (-.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))) #s(literal -1 binary64)) (/.f64 (neg.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)))))
(fma.f64 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) #s(literal 2 binary64)) #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))))))
(fma.f64 (*.f64 (/.f64 (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 (log1p.f64 N) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))))) (-.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))))))
(fma.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (-.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (-.f64 (log1p.f64 N) (/.f64 (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 3 binary64))) (log.f64 N) (*.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N))))) (log.f64 N)))
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log1p.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (*.f64 (*.f64 (log1p.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))))))
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))) (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 (-.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))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (*.f64 (-.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))) (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))))))))
Outputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
Calls

2 calls:

18.0ms
N
16.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
99.8%1N
99.8%1(-.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
-17.1MiB live, 22.8MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #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(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
(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)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #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 (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 (/.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) 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 (/.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)) (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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (/.f64 #s(literal -1 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 (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 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N #s(literal -1 binary64))) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N)))
(log.f64 #s(approx (/ (+ N 1) N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
#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)))))
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))) N))
(neg.f64 #s(approx (log (/ (/ N (+ 1 N)) 1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) N)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64))) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 N (*.f64 (/.f64 N (/.f64 #s(literal -1/2 binary64) N)) (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 N (/.f64 #s(literal -1/2 binary64) N)) 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 (/.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)) (neg.f64 N)))))
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
Calls

2 calls:

11.0ms
N
7.0ms
(-.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)

regimes15.0ms (0.2%)

Memory
19.1MiB live, 19.1MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #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(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
(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)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #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 (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 (/.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) 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 (/.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)) (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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (/.f64 #s(literal -1 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 (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 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N #s(literal -1 binary64))) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N)))
(log.f64 #s(approx (/ (+ N 1) N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) 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 (/.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)) (neg.f64 N)))))
(log.f64 #s(approx (/ (+ N 1) N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
Calls

2 calls:

7.0ms
N
6.0ms
(-.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)

regimes15.0ms (0.2%)

Memory
-21.5MiB live, 16.8MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #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(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
(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)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #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 (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 (/.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) 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 (/.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)) (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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (/.f64 #s(literal -1 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 (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 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) N) N) (*.f64 N #s(literal -1 binary64))) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 1 binary64)) N)))
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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)) (neg.f64 N)))))
Calls

2 calls:

8.0ms
N
5.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
97.6%1N
97.6%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
14.1MiB live, 14.1MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #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(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
(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)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #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 (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 (/.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) 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 (/.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)) (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 (/.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)) (neg.f64 N)))))
Calls

2 calls:

5.0ms
N
4.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
97.6%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
97.6%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes10.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #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(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
(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)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 #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 (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 (/.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) 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 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 binary64)) N) N)))))
Calls

2 calls:

5.0ms
N
4.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
97.5%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
97.5%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes9.0ms (0.1%)

Memory
-27.4MiB live, 11.1MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #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(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
(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)))
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 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) N))))
Calls

2 calls:

4.0ms
N
3.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
96.3%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
96.3%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #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(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ (* N N) -1)) (log (+ (* N N) (neg N)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) 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
95.8%1N
95.8%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory
8.1MiB live, 8.0MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #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(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (/.f64 (-.f64 (*.f64 N N) #s(literal 1/4 binary64)) (-.f64 N #s(literal 1/2 binary64))))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(approx (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) (/.f64 #s(literal -1/2 binary64) N)) N) (neg.f64 N)) (*.f64 N N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (+.f64 N #s(literal 1/2 binary64)))))
Calls

2 calls:

3.0ms
N
2.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
93.8%1N
93.8%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
85.9%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
85.9%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0009300567929217962
0.0013837124132081158
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0005519180373978472
0.0009300567929217962
Compiler

Compiled 10 to 10 computations (0% saved)

simplify51.0ms (0.6%)

Memory
-24.6MiB live, 54.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
097366
1129366
2172366
3207366
4249366
5292363
6366363
7558363
8790363
9988363
101064363
111097363
121101363
Stop Event
saturated
Calls
Call 1
Inputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(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) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.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)) (neg.f64 N))))) (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 5534023222112865/9223372036854775808 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 (/.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)) (neg.f64 N))))) (log.f64 #s(approx (/ (+ N 1) N) (+.f64 (/.f64 #s(literal 1 binary64) 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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (/.f64 #s(literal -1 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 (+.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)) (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)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 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 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) N) #s(literal 1 binary64)) N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) #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))
Outputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(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) #s(approx (/ N (- (/ (- -1/2 (/ (- (/ 1/4 N) 1/3) N)) N) -1)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) #s(literal -1/2 binary64)) N)) N)))) (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 5534023222112865/9223372036854775808 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 (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) #s(literal -1/2 binary64)) N)) N)))) (log.f64 #s(approx (/ (+ N 1) N) (+.f64 #s(literal 1 binary64) (/.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 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) (/.f64 #s(literal -1 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 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N) #s(literal -1/2 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)) #s(approx (* (+ (* (/ (- 1/2 (/ (- 1/12 (/ 1/24 N)) N)) N) -1) -1) (neg N)) (/.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal -1/12 binary64)) N #s(literal 1/24 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 #s(literal 1/12 binary64) N)) 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))

soundness1.5s (17.7%)

Memory
-129.1MiB live, 753.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07165862
123275139
083384948
06575612
120575188
271405179
080914916
049247
084235
1379225
22714221
09392221
0616
01015
14215
226915
3262715
0884612
053336
088314
1410279
23519274
08294274
088330
1250302
2588301
31591295
44186287
56252287
67306287
08036278
057369
093324
1442297
23586295
08825286
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 903 to 509 computations (43.6% saved)

preprocess174.0ms (2.1%)

Memory
-26.7MiB live, 144.6MiB allocated
Compiler

Compiled 794 to 254 computations (68% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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