2log (problem 3.3.6)

Time bar (total: 3.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample1.4s (36.6%)

Memory
17.2MiB live, 1 467.8MiB allocated; 374ms collecting garbage
Samples
1.1s7 519×1valid
107.0ms737×0valid
Precisions
Click to see histograms. Total time spent on operations: 881.0ms
ival-log1p: 401.0ms (45.5% of total)
ival-log: 252.0ms (28.6% of total)
adjust: 168.0ms (19.1% of total)
ival-sub!: 59.0ms (6.7% of total)
Bogosity

explain132.0ms (3.4%)

Memory
-20.6MiB live, 222.8MiB allocated; 48ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2541(29.13248204084451)1(11.363872617921722)(-.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))cancellation2541
Confusion
Predicted +Predicted -
+2531
-11
Precision
0.9960629921259843
Recall
0.9960629921259843
Confusion?
Predicted +Predicted MaybePredicted -
+25301
-110
Precision?
0.9921568627450981
Recall?
0.9960629921259843
Freqs
test
numberfreq
02
1254
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
79.0ms480×1valid
2.0ms32×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
adjust: 22.0ms (37.1% of total)
ival-log1p: 18.0ms (30.4% of total)
ival-log: 15.0ms (25.3% of total)
ival-sub!: 3.0ms (5.1% of total)
ival-add!: 1.0ms (1.7% of total)

preprocess67.0ms (1.7%)

Memory
-0.2MiB live, 46.2MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01226
11626
21926
33326
47626
532124
6282024
7622324
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶22.7%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 14 to 12 computations (14.3% saved)

series102.0ms (2.6%)

Memory
11.0MiB live, 55.8MiB allocated; 5ms 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
72.0ms
N
@-inf
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
23.0ms
N
@0
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
6.0ms
N
@inf
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

rewrite206.0ms (5.3%)

Memory
43.0MiB live, 220.7MiB allocated; 30ms 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 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 N) (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) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.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) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (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) (+.f64 (log.f64 N) (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 N N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal 1 binary64))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 N) N)) (log.f64 (-.f64 #s(literal 1 binary64) N)))
(-.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (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 N #s(literal -2 binary64))) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)) N) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 N (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 N 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 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 N 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 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #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 (/.f64 #s(literal -1 binary64) N) N))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(*.f64 (neg.f64 (log.f64 N)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 N)))
(*.f64 (log.f64 N) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 N))
(neg.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 N))))
(neg.f64 (neg.f64 (log.f64 N)))
(log.f64 N)
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (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 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N) (log.f64 N)))
#s(approx (log (+ N 1)) N)
#s(approx (log (+ N 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N))
#s(approx (log (+ N 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N))
#s(approx (log (+ N 1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/2 binary64)) N #s(literal 1 binary64)) N))
#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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) N)))) N))
#s(approx (log (+ N 1)) (log.f64 N))
#s(approx (log (+ N 1)) (+.f64 (pow.f64 N #s(literal -1 binary64)) (log.f64 N)))
#s(approx (log (+ N 1)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) (log.f64 N)))
#s(approx (log (+ N 1)) (+.f64 (/.f64 (+.f64 (/.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 (+ 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 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
#s(approx (log (+ N 1)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))
#s(approx (log (+ N 1)) (+.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ N 1)) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (log (+ N 1)) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) N)))
#s(approx (log N) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))

eval15.0ms (0.4%)

Memory
-38.0MiB live, 22.7MiB allocated; 9ms collecting garbage
Compiler

Compiled 1 096 to 288 computations (73.7% saved)

prune4.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New68674
Fresh000
Picked101
Done000
Total69675
Accuracy
100.0%
Counts
75 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
26.0%
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
▶85.6%
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 N #s(literal -1 binary64)))
▶98.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
▶94.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
▶97.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
Compiler

Compiled 162 to 128 computations (21% saved)

series11.0ms (0.3%)

Memory
19.9MiB live, 19.9MiB allocated; 0ms collecting garbage
Counts
29 → 106
Calls
Call 1
Inputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(pow.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
#s(literal 1 binary64)
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #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 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N)
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
#s(literal -1/2 binary64)
(neg.f64 N)
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 N #s(literal -1 binary64)))
Outputs
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (pow N -1) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 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 (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ -1/2 N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 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 N) 1/3) N) -1) -1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ 1/4 N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) N)))
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N)))
#s(approx (neg N) #s(hole binary64 (* -1 N)))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (pow N -1))) #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)) (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 (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 1))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 1))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ -1/3 N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (- (* 1/4 (/ 1 N)) 1/3) N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 -1/3))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (- (* 1/4 (/ 1 N)) 1/3)))
#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 (- (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 (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
N
@0
((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) 1 (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 -1/2 (neg N) (- (log (+ N 1)) (log N)))
3.0ms
N
@-inf
((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) 1 (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 -1/2 (neg N) (- (log (+ N 1)) (log N)))
3.0ms
N
@inf
((log (+ 1 (pow N -1))) (pow N -1) N -1 (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) 1 (/ 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 -1/2 (neg N) (- (log (+ N 1)) (log N)))

rewrite179.0ms (4.6%)

Memory
-31.0MiB live, 201.2MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02802271
03132110
112232005
085251969
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
135 → 402
Calls
Call 1
Inputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(pow.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
#s(literal 1 binary64)
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #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 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N)
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
#s(literal -1/2 binary64)
(neg.f64 N)
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 N #s(literal -1 binary64)))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (pow N -1) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 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 (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ -1/2 N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ 1/3 N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) N)))
#s(approx (/ 1/3 N) #s(hole binary64 (/ 1/3 N)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 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 N) 1/3) N) -1) -1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ 1/4 N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) N)))
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N)))
#s(approx (neg N) #s(hole binary64 (* -1 N)))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (pow N -1))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (pow N -1))) #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)) (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 (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 1))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 1))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1/3 N) 1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) 1/2) N)))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) 1/2)))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ -1/3 N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (- (* 1/4 (/ 1 N)) 1/3) N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 -1/3))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (- (* 1/4 (/ 1 N)) 1/3)))
#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 (- (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 (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (/ (- (/ 1/3 N) 1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(hole binary64 (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))))
Outputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 N) (log.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 (log1p.f64 N) (log1p.f64 N) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log1p.f64 N) (log1p.f64 N) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1/2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 N))
(pow.f64 (exp.f64 (log.f64 N)) #s(literal -1 binary64))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 N)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N))
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 N)))
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 N)))
(neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) N))
(-.f64 (cosh.f64 (log.f64 N)) (sinh.f64 (log.f64 N)))
(exp.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 N))))
(exp.f64 (neg.f64 (log.f64 N)))
(+.f64 (cosh.f64 (neg.f64 (log.f64 N))) (sinh.f64 (neg.f64 (log.f64 N))))
N
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
(/.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))) (+.f64 (pow.f64 N #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
(/.f64 (-.f64 (pow.f64 N #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (*.f64 (pow.f64 N #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))) N)
(/.f64 (-.f64 N (*.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N))
(/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 #s(literal 1/2 binary64) N))) (*.f64 (neg.f64 N) N))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (neg.f64 N))
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(neg.f64 (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) (neg.f64 N)))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) N) N))
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#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N N)))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N N)))
#s(approx (- (/ 1/3 N) 1/2) (/.f64 #s(literal 1/3 binary64) N))
#s(approx (- (/ 1/3 N) 1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N))
#s(approx (/ 1/3 N) (/.f64 #s(literal 1/3 binary64) N))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (*.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/4 binary64)))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64)) N #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) N) N #s(literal -1/3 binary64)) N #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (*.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -3 binary64))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N)))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (*.f64 N N)))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 N N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))
#s(approx (- (/ 1/4 N) 1/3) (/.f64 #s(literal 1/4 binary64) N))
#s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N))
#s(approx (/ 1/4 N) (/.f64 #s(literal 1/4 binary64) N))
#s(approx (neg N) (neg.f64 N))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 N #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 N #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) N))) N))
#s(approx (/ (- 1 (/ 1/2 N)) N) (pow.f64 N #s(literal -1 binary64)))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64))
#s(approx (- 1 (/ 1/2 N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (pow.f64 N #s(literal -1 binary64)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) #s(literal 1 binary64))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 #s(literal -1/2 binary64) N))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(approx (- (/ 1/3 N) 1/2) #s(literal -1/2 binary64))
#s(approx (- (/ 1/3 N) 1/2) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (pow.f64 N #s(literal -1 binary64)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) N))) N))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) #s(literal -1 binary64))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64))))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (/.f64 #s(literal -1/2 binary64) N))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) N))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (-.f64 (/.f64 #s(literal 1/3 binary64) N) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 #s(literal -1/3 binary64) N))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
#s(approx (- (/ 1/4 N) 1/3) #s(literal -1/3 binary64))
#s(approx (- (/ 1/4 N) 1/3) (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))
#s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (/ (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (neg N)) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)))
#s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
#s(approx (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal -1/2 binary64)) N))
#s(approx (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))

eval59.0ms (1.5%)

Memory
43.8MiB live, 88.9MiB allocated; 5ms collecting garbage
Compiler

Compiled 10 828 to 1 793 computations (83.4% saved)

prune22.0ms (0.6%)

Memory
-6.0MiB live, 37.5MiB allocated; 7ms collecting garbage
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New37817395
Fresh101
Picked415
Done000
Total38318401
Accuracy
100.0%
Counts
401 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.8%
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
▶99.9%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
95.3%
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
96.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N N) (*.f64 N N)))
98.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (neg.f64 N) N) (*.f64 N N)))
▶94.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (*.f64 N N) (*.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)) N))
94.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
▶98.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)))
97.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
✓94.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
97.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N N))) #s(literal 1 binary64)) N))
▶85.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
97.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
97.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (neg.f64 N)))
98.2%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #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)))
94.7%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
▶96.7%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))))
Compiler

Compiled 725 to 536 computations (26.1% saved)

series28.0ms (0.7%)

Memory
-37.6MiB live, 19.7MiB allocated; 24ms collecting garbage
Counts
32 → 124
Calls
Call 1
Inputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
(/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N)
#s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (*.f64 N N) (*.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)) N))
(/.f64 (/.f64 (-.f64 (*.f64 N N) (*.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)) N)
(/.f64 (-.f64 (*.f64 N N) (*.f64 #s(literal 1/2 binary64) N)) (*.f64 N N))
(-.f64 (*.f64 N N) (*.f64 #s(literal 1/2 binary64) N))
(*.f64 N N)
(*.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N))
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N)
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
(neg.f64 N)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))
(-.f64 N #s(literal 1/2 binary64))
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 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 (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ -1/2 N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (/ (- (* N N) (* 1/2 N)) (* N N)) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (* N N) (* 1/2 N)) (* N N)) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (- (* N N) (* 1/2 N)) #s(hole binary64 (* -1/2 N)))
#s(approx (- (* N N) (* 1/2 N)) #s(hole binary64 (* N (- N 1/2))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (* 1/2 N) #s(hole binary64 (* 1/2 N)))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ 1/4 N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) N)))
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N)))
#s(approx (neg N) #s(hole binary64 (* -1 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* -1/2 N))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* N (- N 1/2)))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (pow N 3) #s(hole binary64 (pow N 3)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 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)) (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 (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 1))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (* N N) (* 1/2 N)) (* N N)) #s(hole binary64 1))
#s(approx (/ (- (* N N) (* 1/2 N)) (* N N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (* N N) (* 1/2 N)) #s(hole binary64 (pow N 2)))
#s(approx (- (* N N) (* 1/2 N)) #s(hole binary64 (* (pow N 2) (- 1 (* 1/2 (/ 1 N))))))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 -1))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (- 1/2 (* 1/3 (/ 1 N)))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N)))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ -1/3 N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (- (* 1/4 (/ 1 N)) 1/3) N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 -1/3))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (- (* 1/4 (/ 1 N)) 1/3)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (- N 1/2) #s(hole binary64 N))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 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 (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
Calls

3 calls:

TimeVariablePointExpression
20.0ms
N
@-inf
((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (- (log (+ N 1)) (log N)) (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/ (- (* N N) (* 1/2 N)) (* N N)) (- (* N N) (* 1/2 N)) (* N N) (* 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 1/3 (neg N) (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) (+ (* (- N 1/2) N) 1/3) (- N 1/2) (pow N 3) 3)
3.0ms
N
@inf
((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (- (log (+ N 1)) (log N)) (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/ (- (* N N) (* 1/2 N)) (* N N)) (- (* N N) (* 1/2 N)) (* N N) (* 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 1/3 (neg N) (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) (+ (* (- N 1/2) N) 1/3) (- N 1/2) (pow N 3) 3)
3.0ms
N
@0
((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- 1 (/ 1/2 N)) N) (- 1 (/ 1/2 N)) (- (log (+ N 1)) (log N)) (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/ (- (* N N) (* 1/2 N)) (* N N)) (- (* N N) (* 1/2 N)) (* N N) (* 1/2 N) 1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 1/3 (neg N) (- (log (+ N 1)) (log N)) (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) (+ (* (- N 1/2) N) 1/3) (- N 1/2) (pow N 3) 3)

rewrite172.0ms (4.4%)

Memory
42.5MiB live, 230.3MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03012580
03332319
112642265
085412233
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
156 → 453
Calls
Call 1
Inputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
(/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N)
#s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (*.f64 N N) (*.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)) N))
(/.f64 (/.f64 (-.f64 (*.f64 N N) (*.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)) N)
(/.f64 (-.f64 (*.f64 N N) (*.f64 #s(literal 1/2 binary64) N)) (*.f64 N N))
(-.f64 (*.f64 N N) (*.f64 #s(literal 1/2 binary64) N))
(*.f64 N N)
(*.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N))
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N)
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
(neg.f64 N)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))
(-.f64 N #s(literal 1/2 binary64))
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx N #s(hole binary64 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 (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ -1/2 N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (/ (- (* N N) (* 1/2 N)) (* N N)) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (- (* N N) (* 1/2 N)) (* N N)) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (- (* N N) (* 1/2 N)) #s(hole binary64 (* -1/2 N)))
#s(approx (- (* N N) (* 1/2 N)) #s(hole binary64 (* N (- N 1/2))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (* 1/2 N) #s(hole binary64 (* 1/2 N)))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (/ (+ 1/4 (* N (- (* N (+ 1/2 (* -1 N))) 1/3))) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ 1/4 N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) N)))
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N)))
#s(approx (neg N) #s(hole binary64 (* -1 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* -1/2 N))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (+ 1/3 (* N (- N 1/2)))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (pow N 3) #s(hole binary64 (pow N 3)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (/ 1 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)) (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 (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 1))
#s(approx (- 1 (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (* N N) (* 1/2 N)) (* N N)) #s(hole binary64 1))
#s(approx (/ (- (* N N) (* 1/2 N)) (* N N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (* N N) (* 1/2 N)) #s(hole binary64 (pow N 2)))
#s(approx (- (* N N) (* 1/2 N)) #s(hole binary64 (* (pow N 2) (- 1 (* 1/2 (/ 1 N))))))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 -1))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) 1)))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2))))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (- 1/2 (* 1/3 (/ 1 N)))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N)))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ -1/3 N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (- (* 1/4 (/ 1 N)) 1/3) N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 -1/3))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (- (* 1/4 (/ 1 N)) 1/3)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (- N 1/2) #s(hole binary64 N))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (log (+ 1 (/ 1 N))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 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 (/ (- 1 (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
Outputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 N) (log.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 (log1p.f64 N) (log1p.f64 N) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (fma.f64 (log1p.f64 N) (log1p.f64 N) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 N)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) N)
(neg.f64 (/.f64 #s(literal -1 binary64) N))
(exp.f64 (neg.f64 (log.f64 N)))
#s(literal 1 binary64)
N
#s(approx (log (+ 1 (/ 1 N))) (/.f64 #s(approx (/ (- (* N N) (* 1/2 N)) (* N N)) #s(literal 1 binary64)) N))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (- (* N N) (* 1/2 N)) (* N N)) #s(literal 1 binary64)))) N)
(/.f64 (neg.f64 #s(approx (/ (- (* N N) (* 1/2 N)) (* N N)) #s(literal 1 binary64))) (neg.f64 N))
(/.f64 #s(approx (/ (- (* N N) (* 1/2 N)) (* N N)) #s(literal 1 binary64)) N)
(neg.f64 (/.f64 (neg.f64 #s(approx (/ (- (* N N) (* 1/2 N)) (* N N)) #s(literal 1 binary64))) N))
(neg.f64 (/.f64 #s(approx (/ (- (* N N) (* 1/2 N)) (* N N)) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (- (* N N) (* 1/2 N)) (* N N)) #s(literal 1 binary64))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
(*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 3/2 binary64))) (/.f64 N (pow.f64 N #s(literal 3/2 binary64))))
(*.f64 (/.f64 N (pow.f64 N #s(literal 3/2 binary64))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 3/2 binary64))))
(*.f64 (/.f64 N (*.f64 N N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
(*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) (/.f64 N (*.f64 N N)))
(*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))) (+.f64 (pow.f64 N #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
(/.f64 (-.f64 (pow.f64 N #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal -2 binary64)) (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (*.f64 (pow.f64 N #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))))
(/.f64 (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 #s(literal 1/2 binary64) N))) (*.f64 (neg.f64 N) N))
(/.f64 (-.f64 N (*.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) N) N) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (neg.f64 N))
(/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
(neg.f64 (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) (neg.f64 N)))
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#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) N #s(literal -1/3 binary64)) N #s(literal 1/4 binary64)) (*.f64 N N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))
#s(approx (- (/ 1/4 N) 1/3) (/.f64 #s(literal 1/4 binary64) N))
#s(approx (- (/ 1/4 N) 1/3) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) N))
#s(approx (/ 1/4 N) (/.f64 #s(literal 1/4 binary64) N))
#s(approx (neg N) (neg.f64 N))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (* (- N 1/2) N) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (- N 1/2) N) 1/3) (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)))
#s(approx (+ (* (- N 1/2) N) 1/3) (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)))
#s(approx (- N 1/2) #s(literal -1/2 binary64))
#s(approx (- N 1/2) (-.f64 N #s(literal 1/2 binary64)))
#s(approx (pow N 3) (pow.f64 N #s(literal 3 binary64)))
#s(approx (log (+ 1 (/ 1 N))) (pow.f64 N #s(literal -1 binary64)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) N))) N))
#s(approx (log (+ 1 (/ 1 N))) (pow.f64 N #s(literal -1 binary64)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) N))) N))
#s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (pow.f64 N #s(literal -1 binary64)))
#s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (/ (- (* N N) (* 1/2 N)) (* N N)) #s(literal 1 binary64))
#s(approx (/ (- (* N N) (* 1/2 N)) (* N N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
#s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (pow.f64 N #s(literal -1 binary64)))
#s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (/ (- (* N N) (* 1/2 N)) (* N N)) #s(literal 1 binary64))
#s(approx (/ (- (* N N) (* 1/2 N)) (* N N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
#s(approx (- (* N N) (* 1/2 N)) (*.f64 N N))
#s(approx (- (* N N) (* 1/2 N)) (*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 N N)))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) (pow.f64 N #s(literal -1 binary64)))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) N))) N))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) #s(literal -1 binary64))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (-.f64 (-.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (/.f64 #s(literal 1/2 binary64) N))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (/.f64 (-.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/3 binary64) N)) N))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) (-.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/3 binary64) N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 #s(literal -1/3 binary64) N))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N))
#s(approx (- (/ 1/4 N) 1/3) #s(literal -1/3 binary64))
#s(approx (- (/ 1/4 N) 1/3) (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (pow.f64 N #s(literal -1 binary64)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) (pow.f64 N #s(literal -1 binary64)))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (+ (* (- N 1/2) N) 1/3) (*.f64 N N))
#s(approx (+ (* (- N 1/2) N) 1/3) (*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 N N)))
#s(approx (+ (* (- N 1/2) N) 1/3) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)))
#s(approx (- N 1/2) N)
#s(approx (- N 1/2) (*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (log (+ 1 (/ 1 N))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (/ (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))))
#s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) N) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (neg.f64 N)))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) N))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (+ (* (- N 1/2) N) 1/3) (pow N 3)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (+ (* (- N 1/2) N) 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (*.f64 N N)))
#s(approx (- N 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))

eval50.0ms (1.3%)

Memory
-11.2MiB live, 129.2MiB allocated; 8ms collecting garbage
Compiler

Compiled 13 112 to 2 111 computations (83.9% saved)

prune18.0ms (0.5%)

Memory
-2.6MiB live, 49.1MiB allocated; 3ms collecting garbage
Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New4377444
Fresh5712
Picked235
Done011
Total44418462
Accuracy
100.0%
Counts
462 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
▶99.8%
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
✓99.9%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
95.3%
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
▶98.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (neg.f64 N) N) (*.f64 N N)))
✓94.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (*.f64 N N) (*.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)) N))
▶94.8%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 N N)) N))
98.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)))
▶97.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
✓94.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
97.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N N))) #s(literal 1 binary64)) N))
97.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (neg.f64 N)))
✓85.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
97.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
98.2%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) N) (neg.f64 N)) (/.f64 #s(literal -1 binary64) N)))
94.6%
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) (/.f64 N (*.f64 N N))))
▶94.7%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
96.7%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
Compiler

Compiled 691 to 504 computations (27.1% saved)

series14.0ms (0.4%)

Memory
-7.5MiB live, 37.7MiB allocated; 3ms collecting garbage
Counts
32 → 124
Calls
Call 1
Inputs
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(*.f64 N N)
N
#s(literal -1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 N N)) N))
(/.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 N N)) N)
(/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 N N))
(*.f64 (-.f64 N #s(literal 1/2 binary64)) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
#s(literal 1/3 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal 1/2 binary64) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (neg.f64 N) N) (*.f64 N N)))
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (neg.f64 N) N) (*.f64 N N))
(fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (neg.f64 N) N)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N)
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
(neg.f64 N)
Outputs
#s(approx (log (+ 1 (pow (* N N) -1/2))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (pow (* N N) -1/2))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (pow (* N N) -1/2))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (pow (* N N) -1/2))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (pow (* N N) -1/2) #s(hole binary64 (/ 1 N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx N #s(hole binary64 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 (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (/ (/ (* (- N 1/2) N) (* N N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (/ (* (- N 1/2) N) (* N N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (/ (* (- N 1/2) N) (* N N)) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (* (- N 1/2) N) (* N N)) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (* (- N 1/2) N) #s(hole binary64 (* -1/2 N)))
#s(approx (* (- N 1/2) N) #s(hole binary64 (* N (- N 1/2))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (/ (+ 1/3 (pow N 2)) (pow N 2))))
#s(approx (/ 1/3 (* N N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 2))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ 1/4 N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) N)))
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N)))
#s(approx (neg N) #s(hole binary64 (* -1 N)))
#s(approx (log (+ 1 (pow (* N N) -1/2))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (pow (* N N) -1/2))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (pow (* N N) -1/2))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (pow (* N N) -1/2))) #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)) (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 (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- N 1/2) #s(hole binary64 N))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (/ (/ (* (- N 1/2) N) (* N N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (/ (* (- N 1/2) N) (* N N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (* (- N 1/2) N) (* N N)) #s(hole binary64 1))
#s(approx (/ (* (- N 1/2) N) (* N N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (* (- N 1/2) N) #s(hole binary64 (pow N 2)))
#s(approx (* (- N 1/2) N) #s(hole binary64 (* (pow N 2) (- 1 (* 1/2 (/ 1 N))))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 1))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 1))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (+ 1 (* 1/3 (/ 1 (pow N 2))))))
#s(approx (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) #s(hole binary64 N))
#s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) #s(hole binary64 (* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) #s(hole binary64 (* N (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (- 1/2 (* 1/3 (/ 1 N)))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N)))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ -1/3 N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (- (* 1/4 (/ 1 N)) 1/3) N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 -1/3))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (- (* 1/4 (/ 1 N)) 1/3)))
#s(approx (log (+ 1 (pow (* N N) -1/2))) #s(hole binary64 (/ -1 N)))
#s(approx (log (+ 1 (pow (* N N) -1/2))) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))
#s(approx (log (+ 1 (pow (* N N) -1/2))) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))
#s(approx (log (+ 1 (pow (* N N) -1/2))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N))))
#s(approx (pow (* N N) -1/2) #s(hole binary64 (/ -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 (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (/ (/ (* (- N 1/2) N) (* N N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) #s(hole binary64 (* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))))
#s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) #s(hole binary64 (* -1 (* N (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
N
@inf
((log (+ 1 (pow (* N N) -1/2))) (pow (* N N) -1/2) (* N N) N -1/2 (- (log (+ N 1)) (log N)) (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (/ (/ (* (- N 1/2) N) (* N N)) N) (/ (* (- N 1/2) N) (* N N)) (* (- N 1/2) N) (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) 1/3 -1 (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 (neg N))
3.0ms
N
@0
((log (+ 1 (pow (* N N) -1/2))) (pow (* N N) -1/2) (* N N) N -1/2 (- (log (+ N 1)) (log N)) (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (/ (/ (* (- N 1/2) N) (* N N)) N) (/ (* (- N 1/2) N) (* N N)) (* (- N 1/2) N) (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) 1/3 -1 (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 (neg N))
3.0ms
N
@-inf
((log (+ 1 (pow (* N N) -1/2))) (pow (* N N) -1/2) (* N N) N -1/2 (- (log (+ N 1)) (log N)) (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/ (- N 1/2) (* N N)) (- N 1/2) 1/2 (- (log (+ N 1)) (log N)) (/ (/ (* (- N 1/2) N) (* N N)) N) (/ (* (- N 1/2) N) (* N N)) (* (- N 1/2) N) (- (log (+ N 1)) (log N)) (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (- (/ 1/3 (* N N)) -1) (/ 1/3 (* N N)) 1/3 -1 (/ 1/2 N) (- (log (+ N 1)) (log N)) (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) (/ (- (/ 1/4 N) 1/3) N) (- (/ 1/4 N) 1/3) (/ 1/4 N) 1/4 (neg N))

rewrite259.0ms (6.7%)

Memory
4.5MiB live, 232.9MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03262709
03652490
113862355
084262303
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
156 → 470
Calls
Call 1
Inputs
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(*.f64 N N)
N
#s(literal -1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(-.f64 N #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 N N)) N))
(/.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 N N)) N)
(/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 N N))
(*.f64 (-.f64 N #s(literal 1/2 binary64)) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
#s(literal 1/3 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal 1/2 binary64) N)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (neg.f64 N) N) (*.f64 N N)))
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (neg.f64 N) N) (*.f64 N N))
(fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (neg.f64 N) N)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N)
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/4 binary64) N)
#s(literal 1/4 binary64)
(neg.f64 N)
#s(approx (log (+ 1 (pow (* N N) -1/2))) #s(hole binary64 (* -1 (log N))))
#s(approx (log (+ 1 (pow (* N N) -1/2))) #s(hole binary64 (+ N (* -1 (log N)))))
#s(approx (log (+ 1 (pow (* N N) -1/2))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))))
#s(approx (log (+ 1 (pow (* N N) -1/2))) #s(hole binary64 (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))))
#s(approx (pow (* N N) -1/2) #s(hole binary64 (/ 1 N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx N #s(hole binary64 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 (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (- N 1/2) #s(hole binary64 -1/2))
#s(approx (- N 1/2) #s(hole binary64 (- N 1/2)))
#s(approx (/ (/ (* (- N 1/2) N) (* N N)) N) #s(hole binary64 (/ -1/2 (pow N 2))))
#s(approx (/ (/ (* (- N 1/2) N) (* N N)) N) #s(hole binary64 (/ (- N 1/2) (pow N 2))))
#s(approx (/ (* (- N 1/2) N) (* N N)) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (* (- N 1/2) N) (* N N)) #s(hole binary64 (/ (- N 1/2) N)))
#s(approx (* (- N 1/2) N) #s(hole binary64 (* -1/2 N)))
#s(approx (* (- N 1/2) N) #s(hole binary64 (* N (- N 1/2))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ 1/3 (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 3))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* -1/2 N)) (pow N 2))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/3 (* N (- N 1/2))) (pow N 2))))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (/ (+ 1/3 (pow N 2)) (pow N 2))))
#s(approx (/ 1/3 (* N N)) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 2))))
#s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))))
#s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 2))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 3))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) (pow N 2))))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ 1/4 N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (/ (+ 1/4 (* -1/3 N)) N)))
#s(approx (/ 1/4 N) #s(hole binary64 (/ 1/4 N)))
#s(approx (neg N) #s(hole binary64 (* -1 N)))
#s(approx (log (+ 1 (pow (* N N) -1/2))) #s(hole binary64 (/ 1 N)))
#s(approx (log (+ 1 (pow (* N N) -1/2))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (pow (* N N) -1/2))) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (log (+ 1 (pow (* N N) -1/2))) #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)) (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 (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (- N 1/2) #s(hole binary64 N))
#s(approx (- N 1/2) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (/ (/ (* (- N 1/2) N) (* N N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (/ (* (- N 1/2) N) (* N N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (* (- N 1/2) N) (* N N)) #s(hole binary64 1))
#s(approx (/ (* (- N 1/2) N) (* N N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (* (- N 1/2) N) #s(hole binary64 (pow N 2)))
#s(approx (* (- N 1/2) N) #s(hole binary64 (* (pow N 2) (- 1 (* 1/2 (/ 1 N))))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 1))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 1))
#s(approx (- (/ 1/3 (* N N)) -1) #s(hole binary64 (+ 1 (* 1/3 (/ 1 (pow N 2))))))
#s(approx (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) #s(hole binary64 N))
#s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) #s(hole binary64 (* N (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) #s(hole binary64 (* N (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) #s(hole binary64 (* N (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (- 1/2 (* 1/3 (/ 1 N)))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N)))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ -1/3 N)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (/ (- (* 1/4 (/ 1 N)) 1/3) N)))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 -1/3))
#s(approx (- (/ 1/4 N) 1/3) #s(hole binary64 (- (* 1/4 (/ 1 N)) 1/3)))
#s(approx (log (+ 1 (pow (* N N) -1/2))) #s(hole binary64 (/ -1 N)))
#s(approx (log (+ 1 (pow (* N N) -1/2))) #s(hole binary64 (* -1 (/ (+ 1 (* 1/2 (/ 1 N))) N))))
#s(approx (log (+ 1 (pow (* N N) -1/2))) #s(hole binary64 (* -1 (/ (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))) N))))
#s(approx (log (+ 1 (pow (* N N) -1/2))) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N))) N))))
#s(approx (pow (* N N) -1/2) #s(hole binary64 (/ -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 (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- N 1/2) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (- N 1/2) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (/ (/ (* (- N 1/2) N) (* N N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (* N N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) #s(hole binary64 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) #s(hole binary64 (* -1 (* N (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))))
#s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) #s(hole binary64 (* -1 (* N (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))))
#s(approx (/ (- (/ 1/4 N) 1/3) N) #s(hole binary64 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))))
Outputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) N))))
(log.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 N #s(literal -1/2 binary64))) (neg.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 N #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (fabs.f64 N) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 N) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 N) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 N) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -1/4 binary64))
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
(pow.f64 N #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 N))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 N N) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) N)
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 N)))
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)))
(*.f64 (*.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1 binary64) N))
(*.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)))
(*.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)))
(*.f64 (fabs.f64 N) (fabs.f64 N))
(*.f64 (neg.f64 N) (neg.f64 N))
(*.f64 (*.f64 N N) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 N N))
(*.f64 N N)
(pow.f64 (exp.f64 (log.f64 N)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 N) #s(literal 2 binary64))
(pow.f64 (neg.f64 N) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 N) N))
(fabs.f64 (*.f64 N N))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)))
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))))
N
#s(literal -1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (* (- N 1/2) N) (* N N)) N) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)))
#s(approx (/ (/ (* (- N 1/2) N) (* N N)) N) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
(*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 3/2 binary64))) (/.f64 N (pow.f64 N #s(literal 3/2 binary64))))
(*.f64 (/.f64 N (pow.f64 N #s(literal 3/2 binary64))) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (pow.f64 N #s(literal 3/2 binary64))))
(*.f64 (/.f64 N N) (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N))
(*.f64 (/.f64 N (*.f64 N N)) (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))
(*.f64 (/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N) (/.f64 N N))
(*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) (/.f64 N (*.f64 N N)))
(/.f64 (-.f64 (*.f64 (/.f64 N (*.f64 N N)) (/.f64 N (*.f64 N N))) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 4 binary64)))) (+.f64 (/.f64 N (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
(/.f64 (-.f64 (pow.f64 (/.f64 N (*.f64 N N)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) #s(literal 3 binary64))) (fma.f64 (/.f64 N (*.f64 N N)) (/.f64 N (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 4 binary64))) (*.f64 (/.f64 N (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64)))) (*.f64 N N))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N))) (*.f64 #s(literal 1 binary64) N))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) (*.f64 (*.f64 N N) #s(literal 1/2 binary64))) (pow.f64 N #s(literal 4 binary64)))
(/.f64 (*.f64 (neg.f64 N) (-.f64 N #s(literal 1/2 binary64))) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(/.f64 (neg.f64 (-.f64 N #s(literal 1/2 binary64))) (*.f64 (neg.f64 N) N))
(/.f64 (neg.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N)) (neg.f64 N))
(/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (pow.f64 N #s(literal 3 binary64)))
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)
(/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))
(-.f64 (/.f64 (/.f64 N N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))
(-.f64 (/.f64 (*.f64 N N) (pow.f64 N #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) N) (pow.f64 N #s(literal 3 binary64))))
(-.f64 (/.f64 N (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))
(-.f64 (pow.f64 N #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 N N) (/.f64 #s(literal 1/2 binary64) N)) N))
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#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)))
#s(approx (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N)))
#s(approx (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) (fma.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal -1 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1/4 N) 1/3) N) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))

eval480.0ms (12.3%)

Memory
-72.7MiB live, 185.4MiB allocated; 662ms collecting garbage
Compiler

Compiled 14 894 to 2 317 computations (84.4% saved)

prune19.0ms (0.5%)

Memory
40.0MiB live, 40.0MiB allocated; 0ms collecting garbage
Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New5068514
Fresh549
Picked145
Done134
Total51319532
Accuracy
100.0%
Counts
532 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(log1p.f64 (pow.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -1/4 binary64)))
99.2%
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓99.8%
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
✓99.9%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
✓94.8%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 N N)) N))
98.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)))
97.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
✓97.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
✓94.9%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
97.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N N))) #s(literal 1 binary64)) N))
97.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
✓85.6%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
97.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 N N))) (*.f64 N N)))
98.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (*.f64 N N)))
85.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) N) (*.f64 N N)))
94.7%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (-.f64 N #s(literal -1/2 binary64))) (*.f64 N N))))
✓94.7%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
94.7%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (-.f64 (/.f64 N (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
96.7%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
Compiler

Compiled 1 337 to 536 computations (59.9% saved)

regimes21.0ms (0.5%)

Memory
-9.3MiB live, 37.1MiB allocated; 3ms collecting garbage
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (-.f64 (/.f64 N (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) (/.f64 N (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 N N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (-.f64 N #s(literal -1/2 binary64))) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N N))) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (*.f64 N N) (*.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 N N))) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (neg.f64 N) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) N) (neg.f64 N)) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #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)))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 N #s(literal -1 binary64)))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(log.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))))
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log1p.f64 (pow.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -1/4 binary64)))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
Calls

2 calls:

12.0ms
N
7.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
99.9%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
99.9%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes17.0ms (0.4%)

Memory
-23.6MiB live, 27.6MiB allocated; 4ms collecting garbage
Counts
30 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (-.f64 (/.f64 N (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) (/.f64 N (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 N N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (-.f64 N #s(literal -1/2 binary64))) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N N))) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (*.f64 N N) (*.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 N N))) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (neg.f64 N) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) N) (neg.f64 N)) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1 binary64) #s(literal -1/2 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N))) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #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)))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 N #s(literal -1 binary64)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 #s(approx (/ (- (/ 1/4 N) 1/3) N) (/.f64 (fma.f64 #s(literal -1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N))) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (neg.f64 N)))
Calls

2 calls:

10.0ms
N
6.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
98.2%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
98.2%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes11.0ms (0.3%)

Memory
21.7MiB live, 21.7MiB allocated; 0ms collecting garbage
Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (-.f64 (/.f64 N (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) (/.f64 N (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 N N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (-.f64 N #s(literal -1/2 binary64))) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N N))) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (*.f64 N N) (*.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 N N))) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N N) (*.f64 N N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (*.f64 N N))) (*.f64 N N)))
Calls

2 calls:

5.0ms
N
4.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
97.7%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
97.7%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes11.0ms (0.3%)

Memory
-27.1MiB live, 18.9MiB allocated; 2ms collecting garbage
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (-.f64 (/.f64 N (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) (/.f64 N (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 N N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (-.f64 N #s(literal -1/2 binary64))) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N N))) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (-.f64 (*.f64 N N) (*.f64 #s(literal 1/2 binary64) N)) (*.f64 N N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (* (/ (- (/ 1/4 N) 1/3) N) -1) -1/2) N) -1) -1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (neg.f64 N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) 1) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) (neg.f64 N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 #s(approx (/ (- (/ 1/3 N) 1/2) N) (/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (*.f64 N N))) #s(literal 1 binary64)) N))
Calls

2 calls:

5.0ms
N
5.0ms
(-.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)

regimes7.0ms (0.2%)

Memory
11.8MiB live, 11.7MiB allocated; 0ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (-.f64 (/.f64 N (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) (/.f64 N (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 N N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (-.f64 N #s(literal -1/2 binary64))) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- (- (/ 1/3 (* N N)) -1) (/ 1/2 N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (/ (- (/ 1/3 N) 1/2) N) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N))) N))
Calls

2 calls:

3.0ms
N
3.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
97.0%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
97.0%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.2%)

Memory
9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (-.f64 (/.f64 N (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (*.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) (/.f64 N (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (/.f64 (*.f64 (-.f64 N #s(literal 1/2 binary64)) N) (*.f64 N N)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (/.f64 (fma.f64 N N #s(literal -1/4 binary64)) (-.f64 N #s(literal -1/2 binary64))) (*.f64 N N))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (/ (- (/ 1/3 N) 1/2) N) 1) N) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 (*.f64 N N) N))))
Calls

2 calls:

3.0ms
N
2.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
96.7%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
96.7%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
Calls

2 calls:

2.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
94.9%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
94.9%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (- 1 (/ 1/2 N)) #s(literal 1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(approx (+ (* (/ (+ (/ (- (/ 1/4 N) 1/3) N) 1/2) N) (neg N)) N) N) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (/ (- (* N N) (* 1/2 N)) (* N N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- 1 (/ 1/2 N)) N) (/.f64 (-.f64 N #s(literal 1/2 binary64)) (*.f64 N N))))
Calls

2 calls:

2.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
94.7%1N
94.7%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Accuracy

Total -0.1b remaining (-1.4%)

Threshold costs -0.1b (-1.4%)

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

2 calls:

1.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
85.6%1N
85.6%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 8 to 7 computations (12.5% saved)

derivations426.0ms (11%)

Memory
4.5MiB live, 380.8MiB allocated; 31ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 224 to 75 computations (66.5% saved)

preprocess119.0ms (3.1%)

Memory
-46.5MiB live, 102.5MiB allocated; 41ms collecting garbage
Compiler

Compiled 536 to 218 computations (59.3% saved)

end0.0ms (0%)

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

Profiling

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