2log (problem 3.3.6)

Time bar (total: 4.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%3.2%96.8%0%0%0%0
100%3.2%0%96.8%0%0%0%1
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.5s (32.2%)

Memory
57.9MiB live, 1 012.1MiB allocated; 943ms collecting garbage
Samples
1.2s7 343×1valid
40.0ms913×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-log1p: 552.0ms (54.5% of total)
ival-log: 211.0ms (20.8% of total)
adjust: 169.0ms (16.7% of total)
ival-sub: 78.0ms (7.7% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain128.0ms (2.7%)

Memory
-14.1MiB live, 134.6MiB allocated; 23ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2480-1(15.097608354274342)(-.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))cancellation2471
Confusion
Predicted +Predicted -
+2471
-08
Precision
1.0
Recall
0.9959677419354839
Confusion?
Predicted +Predicted MaybePredicted -
+24710
-008
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
09
1247
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
63.0ms452×1valid
3.0ms60×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-log1p: 15.0ms (30.7% of total)
ival-log: 14.0ms (28.7% of total)
adjust: 12.0ms (24.6% of total)
ival-sub: 5.0ms (10.2% of total)
ival-add: 3.0ms (6.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess245.0ms (5.2%)

Memory
16.2MiB live, 148.3MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
11626
21926
33326
47626
532124
6282024
7622324
067
0107
1137
2167
3277
4617
52527
621957
754917
086355
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Outputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶22.5%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 7 to 6 computations (14.3% saved)

series74.0ms (1.6%)

Memory
5.0MiB live, 74.2MiB allocated; 22ms collecting garbage
Counts
6 → 31
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
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (+ N 1)) #s(hole binary64 N))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (+ N 1)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
Calls

3 calls:

TimeVariablePointExpression
50.0ms
N
@0
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
17.0ms
N
@-inf
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
7.0ms
N
@inf
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

rewrite259.0ms (5.5%)

Memory
-34.7MiB live, 199.1MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126516
0131453
1714428
06908369
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
37 → 79
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)
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (log (+ N 1)) #s(hole binary64 N))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ N 1)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ 1 N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (log (+ N 1)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (+ N 1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))))
#s(approx (log (+ N 1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
Outputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 N #s(literal -1 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log.f64 N) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(log1p.f64 N)
(-.f64 (log.f64 (fma.f64 (neg.f64 N) (neg.f64 N) #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 N) N)) (log1p.f64 (*.f64 (neg.f64 N) #s(literal 1 binary64))))
(-.f64 (log1p.f64 (*.f64 (*.f64 N N) N)) (log.f64 (fma.f64 (fabs.f64 N) (fabs.f64 N) (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log1p.f64 (*.f64 (*.f64 N N) N)) (log1p.f64 (-.f64 (*.f64 N N) N)))
(log.f64 (-.f64 N #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N)
(*.f64 N (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 N N) #s(literal -1 binary64))) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 N N) #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N) (fma.f64 (pow.f64 N #s(literal -1 binary64)) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 N N) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 N (fma.f64 (pow.f64 (*.f64 N N) #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 N #s(literal -1 binary64)) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 N) (neg.f64 N) #s(literal -1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 (fabs.f64 N) (fabs.f64 N) (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 (*.f64 N N) N) #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 N) (neg.f64 N) #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 (fabs.f64 N) (fabs.f64 N) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 N N) N) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 N (*.f64 (neg.f64 N) (pow.f64 N #s(literal -1 binary64))))
(-.f64 N (*.f64 (pow.f64 (neg.f64 N) #s(literal -1 binary64)) N))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 (fabs.f64 N) (fabs.f64 N) (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 N) (fabs.f64 N) (-.f64 #s(literal 1 binary64) N))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 N N) N) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 N N) N) (+.f64 (-.f64 (*.f64 N N) N) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N)))
(*.f64 (log.f64 N) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 N))
(neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N))))
(neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)))
(log.f64 N)
#s(approx (- (log (+ N 1)) (log N)) (*.f64 #s(literal -1 binary64) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 N (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1 binary64) #s(literal -1/2 binary64)) N) #s(literal 1 binary64) #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (log (+ N 1)) N)
#s(approx (log (+ N 1)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64) #s(literal 1 binary64)) N))
#s(approx (log (+ N 1)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1 binary64) #s(literal -1/2 binary64)) N) #s(literal 1 binary64) #s(literal 1 binary64)) N))
#s(approx (log (+ N 1)) (*.f64 (fma.f64 (*.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) #s(literal 1 binary64)) N))
#s(approx (+ N 1) #s(literal 1 binary64))
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx N N)
#s(approx (log N) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 N #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) N) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
#s(approx (log (+ N 1)) (log.f64 N))
#s(approx (log (+ N 1)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))
#s(approx (log (+ N 1)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) N)))
#s(approx (log (+ N 1)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) N)))
#s(approx (+ N 1) N)
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (log N) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
#s(approx (log (+ N 1)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ N 1)) (fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (log (+ N 1)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (log (+ N 1)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (log N) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))

eval8.0ms (0.2%)

Memory
18.1MiB live, 18.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 301 to 299 computations (77% saved)

prune8.0ms (0.2%)

Memory
18.0MiB live, 18.0MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New75479
Fresh000
Picked101
Done000
Total76480
Accuracy
99.9%
Counts
80 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
▶22.6%
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))))
▶97.1%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) N) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
▶97.1%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
Compiler

Compiled 116 to 67 computations (42.2% saved)

series83.0ms (1.8%)

Memory
-14.7MiB live, 77.7MiB allocated; 6ms collecting garbage
Counts
42 → 229
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N)
(fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64))
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N)
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N)
(fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64)))
#s(literal 1/4 binary64)
(pow.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) N) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) N) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N))
(/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) N)
(fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
#s(literal 1/3 binary64)
(*.f64 N N)
(fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)
(*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64))
(*.f64 (*.f64 N N) N)
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))))
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(log1p.f64 N)
#s(literal 2 binary64)
(fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))
(*.f64 #s(literal -1 binary64) (log.f64 N))
(log.f64 N)
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
(*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 N #s(literal -1 binary64))))
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (* (/ (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) N) -1) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (* (/ (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) N) -1) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (* (/ (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (* (/ (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) N) -1) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (/ (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) N) #s(hole binary64 (/ 1/4 (pow N 4))))
#s(approx (/ (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 4))))
#s(approx (/ (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) N) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 4))))
#s(approx (/ (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) N) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 4))))
#s(approx (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3))))
#s(approx (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (+ (* (* 1/4 (pow N -1)) 1) -1/3) #s(hole binary64 (/ 1/4 N)))
#s(approx (+ (* (* 1/4 (pow N -1)) 1) -1/3) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) N)))
#s(approx (* 1/4 (pow N -1)) #s(hole binary64 (/ 1/4 N)))
#s(approx (pow N -1) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (- (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (/ (* (pow (* (* N N) N) -1) 1/4) N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (- (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (/ (* (pow (* (* N N) N) -1) 1/4) N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (- (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (/ (* (pow (* (* N N) N) -1) 1/4) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (- (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (/ (* (pow (* (* N N) N) -1) 1/4) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (/ 1/3 (* N N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (pow N -1) -1/2) 1) #s(hole binary64 (/ -1/2 N)))
#s(approx (+ (* (pow N -1) -1/2) 1) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (/ (* (pow (* (* N N) N) -1) 1/4) N) #s(hole binary64 (/ 1/4 (pow N 4))))
#s(approx (* (pow (* (* N N) N) -1) 1/4) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (pow (* (* N N) N) -1) #s(hole binary64 (/ 1 (pow N 3))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (- (/ (pow (log (+ 1 N)) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N))))) #s(hole binary64 (* -1 (log N))))
#s(approx (- (/ (pow (log (+ 1 N)) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N))))) #s(hole binary64 (- N (log N))))
#s(approx (- (/ (pow (log (+ 1 N)) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N))))) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (/ (pow (log (+ 1 N)) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N))))) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (pow (log (+ 1 N)) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (/ (pow N 2) (log N))))
#s(approx (/ (pow (log (+ 1 N)) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* (pow N 2) (+ (* -1 (* N (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))))
#s(approx (/ (pow (log (+ 1 N)) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 11/12 (/ 1 (log N)))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))))
#s(approx (/ (pow (log (+ 1 N)) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* (pow N 2) (+ (* N (- (* N (- (+ (* 1/2 (/ 1 (pow (log N) 2))) (+ (* 11/12 (/ 1 (log N))) (* N (- (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))) (+ (* 5/6 (/ 1 (log N))) (* 11/12 (/ 1 (pow (log N) 2))))))))))) (* -1 (/ (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))) (log N))))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (pow N 2)))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 N)))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))))
#s(approx (log (+ 1 N)) #s(hole binary64 N))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
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#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) #s(hole binary64 (* -1 (/ (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* -1/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N)) (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N))) N))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) #s(hole binary64 (* -1 (/ (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/4 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N)) (* -1/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N)) (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N))) N))))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
Calls

3 calls:

TimeVariablePointExpression
47.0ms
N
@-inf
((- (log (+ N 1)) (log N)) (* (/ (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) N) -1) (/ (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) N) (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) (+ (* (* 1/4 (pow N -1)) 1) -1/3) (* 1/4 (pow N -1)) 1/4 (pow N -1) N -1 1 -1/3 -1/2 (- (log (+ N 1)) (log N)) (- (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (/ (* (pow (* (* N N) N) -1) 1/4) N)) (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) (/ 1/3 (* N N)) 1/3 (* N N) (+ (* (pow N -1) -1/2) 1) (/ (* (pow (* (* N N) N) -1) 1/4) N) (* (pow (* (* N N) N) -1) 1/4) (pow (* (* N N) N) -1) (* (* N N) N) (- (/ (pow (log (+ 1 N)) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N))))) (/ (pow (log (+ 1 N)) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) (log (+ 1 N)) 2 (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (* -1 (log N)) (log N) (/ (pow (log N) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (pow (log N) 2) (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (log (+ 1 (pow N -1))))
15.0ms
N
@inf
((- (log (+ N 1)) (log N)) (* (/ (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) N) -1) (/ (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) N) (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) (+ (* (* 1/4 (pow N -1)) 1) -1/3) (* 1/4 (pow N -1)) 1/4 (pow N -1) N -1 1 -1/3 -1/2 (- (log (+ N 1)) (log N)) (- (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (/ (* (pow (* (* N N) N) -1) 1/4) N)) (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) (/ 1/3 (* N N)) 1/3 (* N N) (+ (* (pow N -1) -1/2) 1) (/ (* (pow (* (* N N) N) -1) 1/4) N) (* (pow (* (* N N) N) -1) 1/4) (pow (* (* N N) N) -1) (* (* N N) N) (- (/ (pow (log (+ 1 N)) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N))))) (/ (pow (log (+ 1 N)) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) (log (+ 1 N)) 2 (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (* -1 (log N)) (log N) (/ (pow (log N) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (pow (log N) 2) (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (log (+ 1 (pow N -1))))
15.0ms
N
@0
((- (log (+ N 1)) (log N)) (* (/ (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) N) -1) (/ (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) N) (+ (* (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) 1) -1) (* (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) -1) (/ (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) N) (+ (* (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) -1) -1/2) (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) (+ (* (* 1/4 (pow N -1)) 1) -1/3) (* 1/4 (pow N -1)) 1/4 (pow N -1) N -1 1 -1/3 -1/2 (- (log (+ N 1)) (log N)) (- (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (/ (* (pow (* (* N N) N) -1) 1/4) N)) (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) (/ 1/3 (* N N)) 1/3 (* N N) (+ (* (pow N -1) -1/2) 1) (/ (* (pow (* (* N N) N) -1) 1/4) N) (* (pow (* (* N N) N) -1) 1/4) (pow (* (* N N) N) -1) (* (* N N) N) (- (/ (pow (log (+ 1 N)) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (/ (pow (log N) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N))))) (/ (pow (log (+ 1 N)) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (pow (log (+ 1 N)) 2) (log (+ 1 N)) 2 (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (* -1 (log N)) (log N) (/ (pow (log N) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (pow (log N) 2) (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (log (+ 1 (pow N -1))))

rewrite296.0ms (6.3%)

Memory
35.2MiB live, 219.8MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093710348
010118541
160028488
083198072
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
271 → 428
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
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(*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64)))
#s(literal 1/4 binary64)
(pow.f64 N #s(literal -1 binary64))
N
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#s(literal 1 binary64)
#s(literal -1/3 binary64)
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#s(literal 1/3 binary64)
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#s(approx (/ (+ (* (* 1/4 (pow N -1)) 1) -1/3) N) #s(hole binary64 (/ 1/4 (pow N 2))))
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#s(approx (* 1/4 (pow N -1)) #s(hole binary64 (/ 1/4 N)))
#s(approx (pow N -1) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 N))
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#s(approx (- (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (/ (* (pow (* (* N N) N) -1) 1/4) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (- (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) (/ (* (pow (* (* N N) N) -1) 1/4) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
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#s(approx (/ (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (* (/ 1/3 (* N N)) 1) (+ (* (pow N -1) -1/2) 1)) #s(hole binary64 (/ 1/3 (pow N 2))))
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#s(approx (* -1 (log N)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (/ (pow (log N) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))
#s(approx (/ (pow (log N) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))
#s(approx (/ (pow (log N) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))
#s(approx (/ (pow (log N) 2) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3)))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 4)))) (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 3))) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2))))) N)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) 2)))) N)) (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))))
#s(approx (pow (log N) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) #s(hole binary64 (/ (+ (* -2 (log (/ -1 N))) (* 2 (log -1))) N)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) #s(hole binary64 (* -1 (/ (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))) N))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) #s(hole binary64 (* -1 (/ (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* -1/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N)) (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N))) N))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) #s(hole binary64 (* -1 (/ (+ (* -1 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/4 (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N)) (* -1/3 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N)) (* -1/2 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N))) N))))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) N))
(/.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) N)
(/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) N))
(/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) N)
(+.f64 (/.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N) (/.f64 #s(literal -1 binary64) N))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) N)
(/.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64))) (*.f64 #s(literal -1 binary64) N))
(/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64)) N)
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64)) N) (/.f64 #s(literal -1/2 binary64) N))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal -1/8 binary64)) (+.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1/2 binary64))
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal -1/3 binary64)))) (*.f64 #s(literal -1 binary64) N))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal -1/3 binary64))) N)
(+.f64 (/.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) N) (/.f64 #s(literal -1/3 binary64) N))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal -1/3 binary64)))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64)) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal -1/3 binary64))
(+.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1 binary64) N))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
(*.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
(-.f64 (cosh.f64 (log.f64 N)) (sinh.f64 (log.f64 N)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)))
(+.f64 (cosh.f64 (*.f64 #s(literal -1 binary64) (log.f64 N))) (sinh.f64 (*.f64 #s(literal -1 binary64) (log.f64 N))))
N
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal -1/3 binary64)
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#s(approx (pow (log N) 2) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) N) #s(literal -1 binary64)) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (/.f64 (log.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64)) #s(literal 1 binary64))) N))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (log.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)) N) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) N) #s(literal -1 binary64)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (*.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (log.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1/3 binary64) #s(literal 1 binary64)) N) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) N) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) N) #s(literal -1 binary64)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (*.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (log.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1/4 binary64) #s(literal 11/12 binary64)) N) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1/3 binary64))) #s(literal 1 binary64)) N) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) N) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) N) #s(literal -1 binary64)))
#s(approx (log (+ 1 (pow N -1))) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64)))
#s(approx (log (+ 1 (pow N -1))) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64)))
#s(approx (log (+ 1 (pow N -1))) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) N) #s(literal -1 binary64)) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64)))

eval140.0ms (3%)

Memory
-7.6MiB live, 138.7MiB allocated; 18ms collecting garbage
Compiler

Compiled 30 904 to 2 919 computations (90.6% saved)

prune360.0ms (7.7%)

Memory
-19.2MiB live, 363.0MiB allocated; 57ms collecting garbage
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New7154719
Fresh000
Picked224
Done000
Total7176723
Accuracy
100.0%
Counts
723 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
✓99.7%
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
▶99.4%
(/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (log1p.f64 N))))) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
▶96.9%
(/.f64 #s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N)) (/.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N))) (*.f64 N N))) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/2 binary64) (fma.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 11/12 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) N))))) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) N)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
▶97.0%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))))))) N) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
✓97.1%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
Compiler

Compiled 280 to 143 computations (48.9% saved)

series155.0ms (3.3%)

Memory
35.7MiB live, 267.4MiB allocated; 35ms collecting garbage
Counts
68 → 362
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))))))) N) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))))))) N) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N))
(/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))))))) N)
(fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
#s(literal 1/3 binary64)
(*.f64 N N)
N
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64))))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)))
#s(literal 1/8 binary64)
(pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64))
(pow.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)
(*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64))
(*.f64 (*.f64 N N) N)
#s(literal 1/4 binary64)
(/.f64 #s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N)) (/.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N))) (*.f64 N N))) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/2 binary64) (fma.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 11/12 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) N))))) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) N)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N)) (/.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N))) (*.f64 N N))) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/2 binary64) (fma.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 11/12 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) N))))) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) N))
(/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N)) (/.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N))) (*.f64 N N))) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/2 binary64) (fma.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 11/12 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) N))))) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) N)
(-.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N)) (/.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N))) (*.f64 N N))) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/2 binary64) (fma.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 11/12 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) N))))) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))
(+.f64 (fma.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N)) (/.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N))) (*.f64 N N))) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/2 binary64) (fma.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 11/12 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) N)))))
(fma.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N)) (/.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N))) (*.f64 N N)))
#s(literal -2 binary64)
(*.f64 #s(literal -1 binary64) (log.f64 N))
(log.f64 N)
(/.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N))) (*.f64 N N))
(*.f64 #s(literal -2/3 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N)))
#s(literal -2/3 binary64)
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/2 binary64) (fma.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 11/12 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) N))))
(/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3 binary64))
(fma.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 11/12 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) N)))
(pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 11/12 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) N))
#s(literal 11/12 binary64)
(/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) N)
(pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))
(log1p.f64 N)
(/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (log1p.f64 N))))) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
(*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (log1p.f64 N))))) (log1p.f64 (pow.f64 N #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (log1p.f64 N)))))
(fma.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (log.f64 N) #s(literal 3 binary64))
(pow.f64 (log1p.f64 N) #s(literal 3 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (log1p.f64 N))))
(*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64))
(-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (log1p.f64 N)))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (log1p.f64 N))
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
(*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(log1p.f64 (pow.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (- (/ (+ (* (/ 1/3 (* N N)) 1) (/ (- 1 (* 1/8 (pow (pow N -1) 3))) (+ 1 (+ (* (* (pow N -1) 1/2) (* (pow N -1) 1/2)) (* 1 (* (pow N -1) 1/2)))))) N) (/ (* (pow (* (* N N) N) -1) 1/4) N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (- (/ (+ (* (/ 1/3 (* N N)) 1) (/ (- 1 (* 1/8 (pow (pow N -1) 3))) (+ 1 (+ (* (* (pow N -1) 1/2) (* (pow N -1) 1/2)) (* 1 (* (pow N -1) 1/2)))))) N) (/ (* (pow (* (* N N) N) -1) 1/4) N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (- (/ (+ (* (/ 1/3 (* N N)) 1) (/ (- 1 (* 1/8 (pow (pow N -1) 3))) (+ 1 (+ (* (* (pow N -1) 1/2) (* (pow N -1) 1/2)) (* 1 (* (pow N -1) 1/2)))))) N) (/ (* (pow (* (* N N) N) -1) 1/4) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (- (/ (+ (* (/ 1/3 (* N N)) 1) (/ (- 1 (* 1/8 (pow (pow N -1) 3))) (+ 1 (+ (* (* (pow N -1) 1/2) (* (pow N -1) 1/2)) (* 1 (* (pow N -1) 1/2)))))) N) (/ (* (pow (* (* N N) N) -1) 1/4) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (/ (+ (* (/ 1/3 (* N N)) 1) (/ (- 1 (* 1/8 (pow (pow N -1) 3))) (+ 1 (+ (* (* (pow N -1) 1/2) (* (pow N -1) 1/2)) (* 1 (* (pow N -1) 1/2)))))) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (* (/ 1/3 (* N N)) 1) (/ (- 1 (* 1/8 (pow (pow N -1) 3))) (+ 1 (+ (* (* (pow N -1) 1/2) (* (pow N -1) 1/2)) (* 1 (* (pow N -1) 1/2)))))) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (* (/ 1/3 (* N N)) 1) (/ (- 1 (* 1/8 (pow (pow N -1) 3))) (+ 1 (+ (* (* (pow N -1) 1/2) (* (pow N -1) 1/2)) (* 1 (* (pow N -1) 1/2)))))) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (* (/ 1/3 (* N N)) 1) (/ (- 1 (* 1/8 (pow (pow N -1) 3))) (+ 1 (+ (* (* (pow N -1) 1/2) (* (pow N -1) 1/2)) (* 1 (* (pow N -1) 1/2)))))) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (+ (* (/ 1/3 (* N N)) 1) (/ (- 1 (* 1/8 (pow (pow N -1) 3))) (+ 1 (+ (* (* (pow N -1) 1/2) (* (pow N -1) 1/2)) (* 1 (* (pow N -1) 1/2)))))) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (+ (* (/ 1/3 (* N N)) 1) (/ (- 1 (* 1/8 (pow (pow N -1) 3))) (+ 1 (+ (* (* (pow N -1) 1/2) (* (pow N -1) 1/2)) (* 1 (* (pow N -1) 1/2)))))) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (/ 1/3 (* N N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx N #s(hole binary64 N))
#s(approx (/ (- 1 (* 1/8 (pow (pow N -1) 3))) (+ 1 (+ (* (* (pow N -1) 1/2) (* (pow N -1) 1/2)) (* 1 (* (pow N -1) 1/2))))) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- 1 (* 1/8 (pow (pow N -1) 3))) (+ 1 (+ (* (* (pow N -1) 1/2) (* (pow N -1) 1/2)) (* 1 (* (pow N -1) 1/2))))) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (- 1 (* 1/8 (pow (pow N -1) 3))) #s(hole binary64 (/ -1/8 (pow N 3))))
#s(approx (- 1 (* 1/8 (pow (pow N -1) 3))) #s(hole binary64 (/ (- (pow N 3) 1/8) (pow N 3))))
#s(approx (* 1/8 (pow (pow N -1) 3)) #s(hole binary64 (/ 1/8 (pow N 3))))
#s(approx (pow (pow N -1) 3) #s(hole binary64 (/ 1 (pow N 3))))
#s(approx (pow N -1) #s(hole binary64 (/ 1 N)))
#s(approx (+ 1 (+ (* (* (pow N -1) 1/2) (* (pow N -1) 1/2)) (* 1 (* (pow N -1) 1/2)))) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (+ 1 (+ (* (* (pow N -1) 1/2) (* (pow N -1) 1/2)) (* 1 (* (pow N -1) 1/2)))) #s(hole binary64 (/ (+ 1/4 (* 1/2 N)) (pow N 2))))
#s(approx (+ 1 (+ (* (* (pow N -1) 1/2) (* (pow N -1) 1/2)) (* 1 (* (pow N -1) 1/2)))) #s(hole binary64 (/ (+ 1/4 (* N (+ 1/2 N))) (pow N 2))))
#s(approx (+ (* (* (pow N -1) 1/2) (* (pow N -1) 1/2)) (* 1 (* (pow N -1) 1/2))) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (+ (* (* (pow N -1) 1/2) (* (pow N -1) 1/2)) (* 1 (* (pow N -1) 1/2))) #s(hole binary64 (/ (+ 1/4 (* 1/2 N)) (pow N 2))))
#s(approx (* (pow N -1) 1/2) #s(hole binary64 (/ 1/2 N)))
#s(approx (* 1 (* (pow N -1) 1/2)) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (* (pow (* (* N N) N) -1) 1/4) N) #s(hole binary64 (/ 1/4 (pow N 4))))
#s(approx (* (pow (* (* N N) N) -1) 1/4) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (pow (* (* N N) N) -1) #s(hole binary64 (/ 1 (pow N 3))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* -1 (log N))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) #s(hole binary64 (* -1 (pow (log N) 2))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) #s(hole binary64 (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (* -1 (log N)))))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) #s(hole binary64 (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (+ (* -1 (log N)) (* N (+ 1 (+ (* -1/2 (log N)) (* 1/2 (log N)))))))))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) #s(hole binary64 (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (+ (* -1 (log N)) (* N (+ 1 (+ (* -1/2 (log N)) (+ (* 1/2 (log N)) (* N (- (+ (* -1/3 (log N)) (* 1/3 (log N))) 1))))))))))))
#s(approx (/ (- (+ (+ (* -2 (* -1 (log N))) (/ (* -2/3 (* -1 (log N))) (* N N))) (+ (* (/ (* -1 (log N)) (pow N 3)) 1/2) (+ (* (pow (pow N -1) 1/2) (pow (pow N -1) 1/2)) (+ (* 11/12 (pow (pow N -1) 3)) (/ (* -1 (log N)) N))))) (pow (pow N -1) 2)) N) #s(hole binary64 (/ (+ 11/12 (* -1/2 (log N))) (pow N 4))))
#s(approx (/ (- (+ (+ (* -2 (* -1 (log N))) (/ (* -2/3 (* -1 (log N))) (* N N))) (+ (* (/ (* -1 (log N)) (pow N 3)) 1/2) (+ (* (pow (pow N -1) 1/2) (pow (pow N -1) 1/2)) (+ (* 11/12 (pow (pow N -1) 3)) (/ (* -1 (log N)) N))))) (pow (pow N -1) 2)) N) #s(hole binary64 (/ (+ 11/12 (+ (* -1/2 (log N)) (* N (- (* 2/3 (log N)) 1)))) (pow N 4))))
#s(approx (/ (- (+ (+ (* -2 (* -1 (log N))) (/ (* -2/3 (* -1 (log N))) (* N N))) (+ (* (/ (* -1 (log N)) (pow N 3)) 1/2) (+ (* (pow (pow N -1) 1/2) (pow (pow N -1) 1/2)) (+ (* 11/12 (pow (pow N -1) 3)) (/ (* -1 (log N)) N))))) (pow (pow N -1) 2)) N) #s(hole binary64 (/ (+ 11/12 (+ (* -1/2 (log N)) (* N (- (+ (* 2/3 (log N)) (* N (+ 1 (* -1 (log N))))) 1)))) (pow N 4))))
#s(approx (/ (- (+ (+ (* -2 (* -1 (log N))) (/ (* -2/3 (* -1 (log N))) (* N N))) (+ (* (/ (* -1 (log N)) (pow N 3)) 1/2) (+ (* (pow (pow N -1) 1/2) (pow (pow N -1) 1/2)) (+ (* 11/12 (pow (pow N -1) 3)) (/ (* -1 (log N)) N))))) (pow (pow N -1) 2)) N) #s(hole binary64 (/ (+ 11/12 (+ (* -1/2 (log N)) (* N (- (+ (* 2/3 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* 2 (* N (log N))))))) 1)))) (pow N 4))))
#s(approx (- (+ (+ (* -2 (* -1 (log N))) (/ (* -2/3 (* -1 (log N))) (* N N))) (+ (* (/ (* -1 (log N)) (pow N 3)) 1/2) (+ (* (pow (pow N -1) 1/2) (pow (pow N -1) 1/2)) (+ (* 11/12 (pow (pow N -1) 3)) (/ (* -1 (log N)) N))))) (pow (pow N -1) 2)) #s(hole binary64 (/ (+ 11/12 (* -1/2 (log N))) (pow N 3))))
#s(approx (- (+ (+ (* -2 (* -1 (log N))) (/ (* -2/3 (* -1 (log N))) (* N N))) (+ (* (/ (* -1 (log N)) (pow N 3)) 1/2) (+ (* (pow (pow N -1) 1/2) (pow (pow N -1) 1/2)) (+ (* 11/12 (pow (pow N -1) 3)) (/ (* -1 (log N)) N))))) (pow (pow N -1) 2)) #s(hole binary64 (/ (+ 11/12 (+ (* -1/2 (log N)) (* N (- (* 2/3 (log N)) 1)))) (pow N 3))))
#s(approx (- (+ (+ (* -2 (* -1 (log N))) (/ (* -2/3 (* -1 (log N))) (* N N))) (+ (* (/ (* -1 (log N)) (pow N 3)) 1/2) (+ (* (pow (pow N -1) 1/2) (pow (pow N -1) 1/2)) (+ (* 11/12 (pow (pow N -1) 3)) (/ (* -1 (log N)) N))))) (pow (pow N -1) 2)) #s(hole binary64 (/ (+ 11/12 (+ (* -1/2 (log N)) (* N (- (+ (* 2/3 (log N)) (* N (+ 1 (* -1 (log N))))) 1)))) (pow N 3))))
#s(approx (- (+ (+ (* -2 (* -1 (log N))) (/ (* -2/3 (* -1 (log N))) (* N N))) (+ (* (/ (* -1 (log N)) (pow N 3)) 1/2) (+ (* (pow (pow N -1) 1/2) (pow (pow N -1) 1/2)) (+ (* 11/12 (pow (pow N -1) 3)) (/ (* -1 (log N)) N))))) (pow (pow N -1) 2)) #s(hole binary64 (/ (+ 11/12 (+ (* -1/2 (log N)) (* N (- (+ (* 2/3 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* 2 (* N (log N))))))) 1)))) (pow N 3))))
#s(approx (+ (+ (* -2 (* -1 (log N))) (/ (* -2/3 (* -1 (log N))) (* N N))) (+ (* (/ (* -1 (log N)) (pow N 3)) 1/2) (+ (* (pow (pow N -1) 1/2) (pow (pow N -1) 1/2)) (+ (* 11/12 (pow (pow N -1) 3)) (/ (* -1 (log N)) N))))) #s(hole binary64 (/ (+ 11/12 (* -1/2 (log N))) (pow N 3))))
#s(approx (+ (+ (* -2 (* -1 (log N))) (/ (* -2/3 (* -1 (log N))) (* N N))) (+ (* (/ (* -1 (log N)) (pow N 3)) 1/2) (+ (* (pow (pow N -1) 1/2) (pow (pow N -1) 1/2)) (+ (* 11/12 (pow (pow N -1) 3)) (/ (* -1 (log N)) N))))) #s(hole binary64 (/ (+ 11/12 (+ (* -1/2 (log N)) (* 2/3 (* N (log N))))) (pow N 3))))
#s(approx (+ (+ (* -2 (* -1 (log N))) (/ (* -2/3 (* -1 (log N))) (* N N))) (+ (* (/ (* -1 (log N)) (pow N 3)) 1/2) (+ (* (pow (pow N -1) 1/2) (pow (pow N -1) 1/2)) (+ (* 11/12 (pow (pow N -1) 3)) (/ (* -1 (log N)) N))))) #s(hole binary64 (/ (+ 11/12 (+ (* -1/2 (log N)) (* N (+ (* 2/3 (log N)) (* N (+ 1 (* -1 (log N)))))))) (pow N 3))))
#s(approx (+ (+ (* -2 (* -1 (log N))) (/ (* -2/3 (* -1 (log N))) (* N N))) (+ (* (/ (* -1 (log N)) (pow N 3)) 1/2) (+ (* (pow (pow N -1) 1/2) (pow (pow N -1) 1/2)) (+ (* 11/12 (pow (pow N -1) 3)) (/ (* -1 (log N)) N))))) #s(hole binary64 (/ (+ 11/12 (+ (* -1/2 (log N)) (* N (+ (* 2/3 (log N)) (* N (+ 1 (+ (* -1 (log N)) (* 2 (* N (log N)))))))))) (pow N 3))))
#s(approx (+ (* -2 (* -1 (log N))) (/ (* -2/3 (* -1 (log N))) (* N N))) #s(hole binary64 (* 2/3 (/ (log N) (pow N 2)))))
#s(approx (+ (* -2 (* -1 (log N))) (/ (* -2/3 (* -1 (log N))) (* N N))) #s(hole binary64 (/ (+ (* 2/3 (log N)) (* 2 (* (pow N 2) (log N)))) (pow N 2))))
#s(approx (* -1 (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx (/ (* -2/3 (* -1 (log N))) (* N N)) #s(hole binary64 (* 2/3 (/ (log N) (pow N 2)))))
#s(approx (* -2/3 (* -1 (log N))) #s(hole binary64 (* 2/3 (log N))))
#s(approx (+ (* (/ (* -1 (log N)) (pow N 3)) 1/2) (+ (* (pow (pow N -1) 1/2) (pow (pow N -1) 1/2)) (+ (* 11/12 (pow (pow N -1) 3)) (/ (* -1 (log N)) N)))) #s(hole binary64 (/ (+ 11/12 (* -1/2 (log N))) (pow N 3))))
#s(approx (+ (* (/ (* -1 (log N)) (pow N 3)) 1/2) (+ (* (pow (pow N -1) 1/2) (pow (pow N -1) 1/2)) (+ (* 11/12 (pow (pow N -1) 3)) (/ (* -1 (log N)) N)))) #s(hole binary64 (/ (+ 11/12 (+ (* -1/2 (log N)) (* (pow N 2) (+ 1 (* -1 (log N)))))) (pow N 3))))
#s(approx (/ (* -1 (log N)) (pow N 3)) #s(hole binary64 (* -1 (/ (log N) (pow N 3)))))
#s(approx (pow N 3) #s(hole binary64 (pow N 3)))
#s(approx (+ (* (pow (pow N -1) 1/2) (pow (pow N -1) 1/2)) (+ (* 11/12 (pow (pow N -1) 3)) (/ (* -1 (log N)) N))) #s(hole binary64 (/ 11/12 (pow N 3))))
#s(approx (+ (* (pow (pow N -1) 1/2) (pow (pow N -1) 1/2)) (+ (* 11/12 (pow (pow N -1) 3)) (/ (* -1 (log N)) N))) #s(hole binary64 (/ (+ 11/12 (* (pow N 2) (+ 1 (* -1 (log N))))) (pow N 3))))
#s(approx (pow (pow N -1) 1/2) #s(hole binary64 (sqrt (/ 1 N))))
#s(approx (+ (* 11/12 (pow (pow N -1) 3)) (/ (* -1 (log N)) N)) #s(hole binary64 (/ 11/12 (pow N 3))))
#s(approx (+ (* 11/12 (pow (pow N -1) 3)) (/ (* -1 (log N)) N)) #s(hole binary64 (/ (+ 11/12 (* -1 (* (pow N 2) (log N)))) (pow N 3))))
#s(approx (/ (* -1 (log N)) N) #s(hole binary64 (* -1 (/ (log N) N))))
#s(approx (pow (pow N -1) 2) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (log N)))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ N (log N))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ (log N) (* N (+ 1 (* -1/2 N))))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (log (+ 1 N)) #s(hole binary64 N))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (/ (* (/ (+ (* (* (pow (log N) 3) -1) -1) (pow (log (+ 1 N)) 3)) (+ (* (* (* -1 (log N)) -1) (* (* -1 (log N)) -1)) (- (pow (log (+ 1 N)) 2) (* (* (* -1 (log N)) -1) (log (+ 1 N)))))) (log (+ 1 (pow N -1)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* -1 (log N))))
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Calls

3 calls:

TimeVariablePointExpression
65.0ms
N
@-inf
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47.0ms
N
@inf
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23.0ms
N
@0
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rewrite368.0ms (7.8%)

Memory
-35.5MiB live, 343.9MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0185431386
0199528117
0952427445
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
430 → 553
Calls
Call 1
Inputs
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(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))))))) N) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N))
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(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
#s(literal 1/3 binary64)
(*.f64 N N)
N
#s(literal 1 binary64)
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#s(literal 1/8 binary64)
(pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64))
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#s(literal -1 binary64)
#s(literal 3 binary64)
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#s(approx (+ (* (* (* -1 (log N)) -1) (* (* -1 (log N)) -1)) (- (pow (log (+ 1 N)) 2) (* (* (* -1 (log N)) -1) (log (+ 1 N))))) #s(hole binary64 (- (+ (* -1 (/ (- (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
#s(approx (+ (* (* (* -1 (log N)) -1) (* (* -1 (log N)) -1)) (- (pow (log (+ 1 N)) 2) (* (* (* -1 (log N)) -1) (log (+ 1 N))))) #s(hole binary64 (- (+ (* -1 (/ (- (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (- (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
#s(approx (+ (* (* (* -1 (log N)) -1) (* (* -1 (log N)) -1)) (- (pow (log (+ 1 N)) 2) (* (* (* -1 (log N)) -1) (log (+ 1 N))))) #s(hole binary64 (- (+ (* -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)))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (* 2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
#s(approx (* (* -1 (log N)) -1) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (- (pow (log (+ 1 N)) 2) (* (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* -1 (/ (- (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))))
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#s(approx (- (pow (log (+ 1 N)) 2) (* (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* -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)))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))))
#s(approx (- (pow (log (+ 1 N)) 2) (* (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* -1 (/ (- (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (- (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (* -1/4 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
#s(approx (pow (log (+ 1 N)) 2) #s(hole binary64 (+ (* -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))))
#s(approx (* (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
#s(approx (* (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ (* -1 (/ (log (/ -1 N)) N)) (+ (/ (log -1) N) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))
#s(approx (* (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
#s(approx (* (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow (pow N -1) 1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow (pow N -1) 1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow (pow N -1) 1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow (pow N -1) 1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow (pow N -1) 1/2) 2)))) #s(hole binary64 (* -1 (/ (* (pow (sqrt -1) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) N))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow (pow N -1) 1/2) 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow (sqrt -1) 2)) (* -1/2 (* (pow (sqrt -1) 4) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N)) (* (pow (sqrt -1) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow (pow N -1) 1/2) 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 2)) (+ (* 1/3 (* (pow (sqrt -1) 6) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* 1/2 (pow (sqrt -1) 4)))) N)) (+ (* -1 (pow (sqrt -1) 2)) (* -1/2 (* (pow (sqrt -1) 4) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) N)) (* (pow (sqrt -1) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))))
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#s(approx (log (+ 1 (pow (pow (pow N -1) 1/2) 2))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (log (+ 1 (pow (pow (pow N -1) 1/2) 2))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (pow (pow (pow N -1) 1/2) 2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (pow (pow (pow N -1) 1/2) 2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (pow (pow (pow N -1) 1/2) 2) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
Outputs
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(/.f64 (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))))))) N) (*.f64 N (*.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (*.f64 N N))
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))))))) (*.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))) N)
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))))))) N) (/.f64 (*.f64 (pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N))
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#s(approx (+ (* (* (pow (log N) 3) -1) -1) (pow (log (+ 1 N)) 3)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))))))) N) (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))) (fma.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))))) N) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))))) N) (*.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
#s(approx (* (pow (log N) 3) -1) (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) #s(literal 3 binary64))))
#s(approx (pow (log N) 3) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) #s(literal 3 binary64)))
#s(approx (pow (log (+ 1 N)) 3) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) #s(literal 3 binary64)))
#s(approx (pow (log (+ 1 N)) 3) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))))) N) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) #s(literal 3 binary64))))
#s(approx (pow (log (+ 1 N)) 3) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))) (fma.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))))) N) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))))) N) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) #s(literal 3 binary64))))
#s(approx (pow (log (+ 1 N)) 3) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))))))) N) (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))) (fma.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))))) N) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))))) N) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) #s(literal 3 binary64))))
#s(approx (+ (* (* (* -1 (log N)) -1) (* (* -1 (log N)) -1)) (- (pow (log (+ 1 N)) 2) (* (* (* -1 (log N)) -1) (log (+ 1 N))))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))))
#s(approx (+ (* (* (* -1 (log N)) -1) (* (* -1 (log N)) -1)) (- (pow (log (+ 1 N)) 2) (* (* (* -1 (log N)) -1) (log (+ 1 N))))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) N) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))))) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))))
#s(approx (+ (* (* (* -1 (log N)) -1) (* (* -1 (log N)) -1)) (- (pow (log (+ 1 N)) 2) (* (* (* -1 (log N)) -1) (log (+ 1 N))))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) (*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) N))) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) N) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))))) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))))
#s(approx (+ (* (* (* -1 (log N)) -1) (* (* -1 (log N)) -1)) (- (pow (log (+ 1 N)) 2) (* (* (* -1 (log N)) -1) (log (+ 1 N))))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) (*.f64 #s(literal -1/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) N)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) N))) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) N) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))))) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))))
#s(approx (* (* -1 (log N)) -1) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))
#s(approx (- (pow (log (+ 1 N)) 2) (* (* (* -1 (log N)) -1) (log (+ 1 N)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) N)))
#s(approx (- (pow (log (+ 1 N)) 2) (* (* (* -1 (log N)) -1) (log (+ 1 N)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) (*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) N))) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) N)))
#s(approx (- (pow (log (+ 1 N)) 2) (* (* (* -1 (log N)) -1) (log (+ 1 N)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) (*.f64 #s(literal -1/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) N)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) N))) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) N)))
#s(approx (- (pow (log (+ 1 N)) 2) (* (* (* -1 (log N)) -1) (log (+ 1 N)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) (*.f64 #s(literal -1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) N) (*.f64 #s(literal -2/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))))) (*.f64 #s(literal -1/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) N)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) N))) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) N)))
#s(approx (pow (log (+ 1 N)) 2) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))))
#s(approx (pow (log (+ 1 N)) 2) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) N) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))))
#s(approx (pow (log (+ 1 N)) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) N))) N) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))))
#s(approx (pow (log (+ 1 N)) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))) N)))) N))) N) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))))
#s(approx (* (* (* -1 (log N)) -1) (log (+ 1 N))) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))))
#s(approx (* (* (* -1 (log N)) -1) (log (+ 1 N))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) N) (+.f64 (/.f64 (log.f64 #s(literal -1 binary64)) N) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))))))
#s(approx (* (* (* -1 (log N)) -1) (log (+ 1 N))) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) N))) N) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))))
#s(approx (* (* (* -1 (log N)) -1) (log (+ 1 N))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) N))) N))) N) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))))))
#s(approx (log (+ 1 (pow N -1))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (pow N -1))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (log (+ 1 (pow N -1))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow (pow N -1) 1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow (pow N -1) 1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) N)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow (pow N -1) 1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) N))) N) #s(literal -1 binary64)) N)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow (pow N -1) 1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64)) #s(literal -1/3 binary64)) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow (pow N -1) 1/2) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal 0 binary64))) N)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow (pow N -1) 1/2) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal 0 binary64))))) N) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal 0 binary64)))) N)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow (pow N -1) 1/2) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal 0 binary64))) #s(literal 1/2 binary64))) N) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal 0 binary64)))))) N) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal 0 binary64)))) N)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow (pow N -1) 1/2) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal 0 binary64))) #s(literal 1/4 binary64)))) N) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal 0 binary64))) #s(literal 1/2 binary64)))) N) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal 0 binary64)))))) N) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal 0 binary64)))) N)))
#s(approx (log (+ 1 (pow (pow (pow N -1) 1/2) 2))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N)))
#s(approx (log (+ 1 (pow (pow (pow N -1) 1/2) 2))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) N)))
#s(approx (log (+ 1 (pow (pow (pow N -1) 1/2) 2))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) N))) N) #s(literal -1 binary64)) N)))
#s(approx (log (+ 1 (pow (pow (pow N -1) 1/2) 2))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64)) #s(literal -1/3 binary64)) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N)))
#s(approx (pow (pow (pow N -1) 1/2) 2) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N)))

eval191.0ms (4.1%)

Memory
32.0MiB live, 272.8MiB allocated; 31ms collecting garbage
Compiler

Compiled 90 573 to 4 968 computations (94.5% saved)

prune398.0ms (8.5%)

Memory
-28.3MiB live, 650.1MiB allocated; 95ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New9901991
Fresh000
Picked224
Done022
Total9925997
Accuracy
100.0%
Counts
997 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
✓99.7%
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
✓99.4%
(/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (log1p.f64 N))))) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
✓97.0%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))))))) N) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
✓97.1%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
Compiler

Compiled 191 to 99 computations (48.2% saved)

series57.0ms (1.2%)

Memory
2.7MiB live, 88.2MiB allocated; 43ms collecting garbage
Counts
13 → 71
Calls
Call 1
Inputs
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
(*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))
(*.f64 #s(literal -1 binary64) (log.f64 N))
#s(literal -1 binary64)
(log.f64 N)
N
(log1p.f64 N)
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 N #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 2 binary64)
Outputs
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* -1 (log N))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (* -1 (pow (log N) 2))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (* -1 (log N)))))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (+ (* -1 (log N)) (* N (+ 1 (+ (* -1/2 (log N)) (* 1/2 (log N)))))))))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (+ (* -1 (log N)) (* N (+ 1 (+ (* -1/2 (log N)) (+ (* 1/2 (log N)) (* N (- (+ (* -1/3 (log N)) (* 1/3 (log N))) 1))))))))))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (log N)))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ N (log N))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ (log N) (* N (+ 1 (* -1/2 N))))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (* -1 (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx N #s(hole binary64 N))
#s(approx (log (+ 1 N)) #s(hole binary64 N))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (pow (pow N -1/2) 2) #s(hole binary64 (/ 1 N)))
#s(approx (pow N -1/2) #s(hole binary64 (sqrt (/ 1 N))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (/ 1 N)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (* -2 (/ (log (/ 1 N)) N))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (/ (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (/ (log (/ 1 N)) N))) N)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (/ (- (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N)))) (/ 1 (pow N 2))) N)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (/ (- (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 N) (+ (* 11/12 (/ 1 (pow N 3))) (/ (log (/ 1 N)) N)))))) (/ 1 (pow N 2))) N)))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (* -2 (log (/ 1 N)))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ (* -2 (log (/ 1 N))) (/ 1 N))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (* -1 (log N)) #s(hole binary64 (log (/ 1 N))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (+ 1 N)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (* -1 (/ (* (pow (sqrt -1) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) N))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow (sqrt -1) 2)) (* -1/2 (* (pow (sqrt -1) 4) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N)) (* (pow (sqrt -1) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 2)) (+ (* 1/3 (* (pow (sqrt -1) 6) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* 1/2 (pow (sqrt -1) 4)))) N)) (+ (* -1 (pow (sqrt -1) 2)) (* -1/2 (* (pow (sqrt -1) 4) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) N)) (* (pow (sqrt -1) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow (sqrt -1) 2)) (+ (* -1/3 (pow (sqrt -1) 6)) (+ (* -1/4 (* (pow (sqrt -1) 8) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* 1/4 (pow (sqrt -1) 4))))) N)) (+ (* -1/2 (pow (sqrt -1) 2)) (+ (* 1/3 (* (pow (sqrt -1) 6) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* 1/2 (pow (sqrt -1) 4))))) N)) (+ (* -1 (pow (sqrt -1) 2)) (* -1/2 (* (pow (sqrt -1) 4) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) N)) (* (pow (sqrt -1) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (+ (* 2 (log -1)) (/ 1 N)))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) (* 2 (log -1))))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) (* 2 (log -1))))))
#s(approx (* -1 (log N)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (pow (pow N -1/2) 2) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (pow N -1/2) #s(hole binary64 (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))))
Calls

3 calls:

TimeVariablePointExpression
32.0ms
N
@-inf
((/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (* -1 (log N)) -1 (log N) N (log (+ 1 N)) (log (+ 1 (pow (pow N -1/2) 2))) (pow (pow N -1/2) 2) (pow N -1/2) -1/2 2)
16.0ms
N
@inf
((/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (* -1 (log N)) -1 (log N) N (log (+ 1 N)) (log (+ 1 (pow (pow N -1/2) 2))) (pow (pow N -1/2) 2) (pow N -1/2) -1/2 2)
8.0ms
N
@0
((/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (* -1 (log N)) -1 (log N) N (log (+ 1 N)) (log (+ 1 (pow (pow N -1/2) 2))) (pow (pow N -1/2) 2) (pow N -1/2) -1/2 2)

rewrite109.0ms (2.3%)

Memory
15.7MiB live, 106.7MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03192086
03361579
020691517
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
84 → 110
Calls
Call 1
Inputs
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
(*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))
(*.f64 #s(literal -1 binary64) (log.f64 N))
#s(literal -1 binary64)
(log.f64 N)
N
(log1p.f64 N)
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 N #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* -1 (log N))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (* -1 (pow (log N) 2))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (* -1 (log N)))))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (+ (* -1 (log N)) (* N (+ 1 (+ (* -1/2 (log N)) (* 1/2 (log N)))))))))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (+ (* -1 (log N)) (* N (+ 1 (+ (* -1/2 (log N)) (+ (* 1/2 (log N)) (* N (- (+ (* -1/3 (log N)) (* 1/3 (log N))) 1))))))))))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (log N)))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ N (log N))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ (log N) (* N (+ 1 (* -1/2 N))))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (* -1 (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (log N) #s(hole binary64 (log N)))
#s(approx N #s(hole binary64 N))
#s(approx (log (+ 1 N)) #s(hole binary64 N))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* -1/2 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* 1/3 N) 1/2))))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (pow (pow N -1/2) 2) #s(hole binary64 (/ 1 N)))
#s(approx (pow N -1/2) #s(hole binary64 (sqrt (/ 1 N))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (/ 1 N)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (* -2 (/ (log (/ 1 N)) N))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (/ (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (/ (log (/ 1 N)) N))) N)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (/ (- (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N)))) (/ 1 (pow N 2))) N)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (/ (- (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 N) (+ (* 11/12 (/ 1 (pow N 3))) (/ (log (/ 1 N)) N)))))) (/ 1 (pow N 2))) N)))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (* -2 (log (/ 1 N)))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ (* -2 (log (/ 1 N))) (/ 1 N))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))))
#s(approx (* -1 (log N)) #s(hole binary64 (log (/ 1 N))))
#s(approx (log N) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (* -1 (log (/ 1 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (* -1 (log (/ 1 N))) (/ 1 N))))
#s(approx (log (+ 1 N)) #s(hole binary64 (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))))
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#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (* -1 (/ (* (pow (sqrt -1) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))) N))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow (sqrt -1) 2)) (* -1/2 (* (pow (sqrt -1) 4) (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))) N)) (* (pow (sqrt -1) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 2)) (+ (* 1/3 (* (pow (sqrt -1) 6) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* 1/2 (pow (sqrt -1) 4)))) N)) (+ (* -1 (pow (sqrt -1) 2)) (* -1/2 (* (pow (sqrt -1) 4) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) N)) (* (pow (sqrt -1) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow (sqrt -1) 2)) (+ (* -1/3 (pow (sqrt -1) 6)) (+ (* -1/4 (* (pow (sqrt -1) 8) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* 1/4 (pow (sqrt -1) 4))))) N)) (+ (* -1/2 (pow (sqrt -1) 2)) (+ (* 1/3 (* (pow (sqrt -1) 6) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) (* 1/2 (pow (sqrt -1) 4))))) N)) (+ (* -1 (pow (sqrt -1) 2)) (* -1/2 (* (pow (sqrt -1) 4) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))))) N)) (* (pow (sqrt -1) 2) (+ (* -2 (log (/ -1 N))) (* 2 (log -1))))) N))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (* 2 (log -1)))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (+ (* 2 (log -1)) (/ 1 N)))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)) (* 2 (log -1))))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) #s(hole binary64 (+ (* -2 (log (/ -1 N))) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)) (* 2 (log -1))))))
#s(approx (* -1 (log N)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))
#s(approx (log N) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 N))))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))))
#s(approx (log (+ 1 N)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (/ (pow (sqrt -1) 4) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 4)) (* -1/3 (/ (pow (sqrt -1) 6) N))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (sqrt -1) 8) N)) (* 1/3 (pow (sqrt -1) 6))) N)) (* -1/2 (pow (sqrt -1) 4))) N)) (pow (sqrt -1) 2)) N))))
#s(approx (pow (pow N -1/2) 2) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) N))))
#s(approx (pow N -1/2) #s(hole binary64 (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))))
Outputs
(*.f64 (fma.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64) (log1p.f64 N)) (/.f64 (log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64) (log1p.f64 N))))
(/.f64 (neg.f64 (*.f64 (log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64) (log1p.f64 N)))) (neg.f64 (fma.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64) (log1p.f64 N))))
(/.f64 (*.f64 (log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64) (log1p.f64 N))) (fma.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64) (log1p.f64 N)))
(*.f64 (log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64) (log1p.f64 N)))
(*.f64 (fma.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64) (log1p.f64 N))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (log1p.f64 N) (log1p.f64 N))) (-.f64 (*.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64)) (log1p.f64 N)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (*.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64)) (log1p.f64 N)))))
(fma.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64) (log1p.f64 N))
(fma.f64 #s(literal -1 binary64) (*.f64 (log.f64 N) #s(literal -1 binary64)) (log1p.f64 N))
(+.f64 (*.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64)) (log1p.f64 N))
(+.f64 (log1p.f64 N) (*.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (log.f64 N) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 N))
(neg.f64 (log.f64 N))
(-.f64 #s(literal 0 binary64) (log.f64 N))
(log.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(literal -1 binary64)
(log.f64 N)
N
(log1p.f64 N)
(log.f64 (+.f64 #s(literal 1 binary64) N))
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(neg.f64 (/.f64 #s(literal -1 binary64) N))
(exp.f64 (*.f64 (*.f64 (log.f64 N) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -1/4 binary64)))
(pow.f64 N #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 N) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (*.f64 (log.f64 N) #s(literal -1 binary64)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (fma.f64 (log.f64 N) #s(literal -1 binary64) N))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (*.f64 (log.f64 N) #s(literal -1 binary64))))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N (*.f64 (log.f64 N) #s(literal -1 binary64))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (fma.f64 (*.f64 #s(literal 0 binary64) (log.f64 N)) N (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1 binary64))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (fma.f64 (fma.f64 #s(literal 0 binary64) (log.f64 N) (*.f64 (fma.f64 (log.f64 N) #s(literal 0 binary64) #s(literal 1 binary64)) N)) N (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1 binary64))))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (fma.f64 (fma.f64 #s(literal 0 binary64) (log.f64 N) (*.f64 (+.f64 (fma.f64 (log.f64 N) #s(literal 0 binary64) (*.f64 (-.f64 (*.f64 (log.f64 N) #s(literal 0 binary64)) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) N)) N (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal -1 binary64))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log.f64 N))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (+.f64 (log.f64 N) N))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (log.f64 N)))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N (log.f64 N)))
#s(approx (* -1 (log N)) (*.f64 (log.f64 N) #s(literal -1 binary64)))
#s(approx (log N) (log.f64 N))
#s(approx N N)
#s(approx (log (+ 1 N)) N)
#s(approx (log (+ 1 N)) (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N))
#s(approx (log (+ 1 N)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N))
#s(approx (log (+ 1 N)) (*.f64 (fma.f64 (-.f64 (*.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))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) (*.f64 (log.f64 N) #s(literal -1 binary64)))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) (fma.f64 (log.f64 N) #s(literal -1 binary64) N))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (*.f64 (log.f64 N) #s(literal -1 binary64))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N (*.f64 (log.f64 N) #s(literal -1 binary64))))
#s(approx (pow (pow N -1/2) 2) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (pow N -1/2) (pow.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) N))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) N) (/.f64 (*.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) N)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) N) (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) N)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (*.f64 (/.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) N) #s(literal -2 binary64)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (log.f64 N) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 N) #s(literal -1 binary64))) N)) N))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (log.f64 N) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 (log.f64 N) #s(literal -1 binary64))) (*.f64 N N))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 N) #s(literal -1 binary64))) N)) (pow.f64 (*.f64 N N) #s(literal -1 binary64))) N))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (log.f64 N) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 (log.f64 N) #s(literal -1 binary64))) (*.f64 N N))) (fma.f64 (/.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) (*.f64 (*.f64 N N) N)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 11/12 binary64) (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (/.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) N))))) (pow.f64 (*.f64 N N) #s(literal -1 binary64))) N))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (*.f64 #s(literal -2 binary64) (*.f64 (log.f64 N) #s(literal -1 binary64))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (fma.f64 #s(literal -2 binary64) (*.f64 (log.f64 N) #s(literal -1 binary64)) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (log.f64 N) #s(literal -1 binary64)) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (-.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (log.f64 N) #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/3 binary64) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
#s(approx (* -1 (log N)) (*.f64 (log.f64 N) #s(literal -1 binary64)))
#s(approx (log N) (*.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (log (+ 1 N)) (*.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (log (+ 1 N)) (fma.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))))
#s(approx (log (+ 1 N)) (-.f64 (fma.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
#s(approx (log (+ 1 N)) (-.f64 (fma.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/3 binary64) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) N))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) N) (/.f64 (*.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) N)))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64)) N) (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) N)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
#s(approx (/ (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (+ (* (* -1 (log N)) -1) (log (+ 1 N)))) (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) N)) #s(literal -1 binary64)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) N) #s(literal -1 binary64) (*.f64 (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) N) #s(literal -1 binary64)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal 1 binary64))) N) #s(literal -1 binary64) (*.f64 (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) N) #s(literal -1 binary64)))
#s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow (pow N -1/2) 2)))) (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2/3 binary64) (fma.f64 #s(literal -1/4 binary64) (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64))) N) #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal -1/3 binary64) (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) N) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal 1 binary64))) N) #s(literal -1 binary64) (*.f64 (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) N) #s(literal -1 binary64)))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64) #s(literal 0 binary64))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -2 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64) #s(literal 0 binary64))))
#s(approx (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -2 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64) #s(literal 0 binary64))))
#s(approx (* -1 (log N)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (log N) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 N)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 N)) (+.f64 (fma.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 N)) (+.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 N)) (+.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) (*.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
#s(approx (log (+ 1 (pow (pow N -1/2) 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
#s(approx (pow (pow N -1/2) 2) (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (pow N -1/2) (*.f64 (pow.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))

eval30.0ms (0.6%)

Memory
-3.8MiB live, 42.8MiB allocated; 2ms collecting garbage
Compiler

Compiled 5 775 to 552 computations (90.4% saved)

prune46.0ms (1%)

Memory
15.5MiB live, 68.5MiB allocated; 17ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1600160
Fresh000
Picked011
Done044
Total1605165
Accuracy
100.0%
Counts
165 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
✓99.7%
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
✓99.4%
(/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (log1p.f64 N))))) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
✓97.0%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))))))) N) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
✓97.1%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
Compiler

Compiled 564 to 213 computations (62.2% saved)

regimes6.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))))))) N) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) N) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))))
(/.f64 #s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N)) (/.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N))) (*.f64 N N))) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/2 binary64) (fma.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 11/12 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) N))))) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) N)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
(/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (log1p.f64 N))))) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
Outputs
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
Calls

2 calls:

3.0ms
N
2.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
99.7%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
99.7%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory
-40.2MiB live, 8.0MiB allocated; 2ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))))))) N) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) N) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))))
(/.f64 #s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N)) (/.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N))) (*.f64 N N))) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/2 binary64) (fma.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 11/12 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) N))))) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) N)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
(/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (log1p.f64 N))))) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
Outputs
(/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (log1p.f64 N))))) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
Calls

2 calls:

4.0ms
N
2.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
99.4%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
99.4%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))))))) N) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) N) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))))
(/.f64 #s(approx (* (+ (* (* -1 (log N)) -1) (log (+ 1 N))) (log (+ 1 (pow N -1)))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N)) (/.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 #s(literal -1 binary64) (log.f64 N))) (*.f64 N N))) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/2 binary64) (fma.f64 (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 11/12 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) N))))) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) N)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
Outputs
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
Calls

2 calls:

2.0ms
N
2.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
99.4%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
99.4%2N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))))))) N) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) N) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Outputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
Calls

2 calls:

3.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
99.4%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
99.4%2N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Accuracy

Total -0.1b remaining (-5.2%)

Threshold costs -0.1b (-5.2%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))))))) N) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) N) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(literal 1/4 binary64)) N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
Calls

2 calls:

1.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
97.1%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
97.1%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch3.0ms (0.1%)

Memory
3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
3.0ms
893.3266446894504
975.192826618102
Samples
1.0ms32×0valid
Compiler

Compiled 128 to 80 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-log: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-log1p: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
893.3266446894504
975.192826618102
Compiler

Compiled 88 to 68 computations (22.7% saved)

simplify32.0ms (0.7%)

Memory
-23.1MiB live, 23.9MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053206
167206
294205
3148205
4329205
52337205
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
(/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (log1p.f64 N))))) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
(if (<=.f64 N #s(literal 960 binary64)) (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))) #s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64))))
(if (<=.f64 N #s(literal 960 binary64)) (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))
Outputs
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
(/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (log1p.f64 N))))) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
(/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 N) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log1p.f64 N)))))) (log1p.f64 (pow.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))
(if (<=.f64 N #s(literal 960 binary64)) (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 N)) #s(literal -1 binary64) (log1p.f64 N)))) #s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64))))
(if (<=.f64 N #s(literal 960 binary64)) (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) N) #s(literal -1 binary64)))

derivations96.0ms (2%)

Memory
24.1MiB live, 70.8MiB allocated; 2ms collecting garbage
Stop Event
1×done
Compiler

Compiled 214 to 56 computations (73.8% saved)

preprocess77.0ms (1.6%)

Memory
-12.5MiB live, 87.4MiB allocated; 43ms collecting garbage
Compiler

Compiled 442 to 124 computations (71.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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