2log (problem 3.3.6)

Time bar (total: 8.3s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

sample1.2s (15%)

Memory
21.3MiB live, 1 089.2MiB allocated; 175ms collecting garbage
Samples
935.0ms7 327×1valid
46.0ms929×0valid
Precisions
Click to see histograms. Total time spent on operations: 759.0ms
ival-log1p: 282.0ms (37.2% of total)
ival-log: 238.0ms (31.4% of total)
adjust: 160.0ms (21.1% of total)
ival-sub: 75.0ms (9.9% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain168.0ms (2%)

Memory
25.2MiB live, 116.1MiB allocated; 17ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2400-1(27.15792943944983)(-.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))cancellation2392
Confusion
Predicted +Predicted -
+2391
-016
Precision
1.0
Recall
0.9958333333333333
Confusion?
Predicted +Predicted MaybePredicted -
+23910
-0115
Precision?
0.995850622406639
Recall?
1.0
Freqs
test
numberfreq
017
1239
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
108.0ms446×1valid
4.0ms66×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
adjust: 59.0ms (62.3% of total)
ival-log: 14.0ms (14.8% of total)
ival-log1p: 14.0ms (14.8% of total)
ival-sub: 4.0ms (4.2% of total)
ival-add: 2.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess221.0ms (2.7%)

Memory
0.9MiB live, 194.1MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶26.4%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 7 to 6 computations (14.3% saved)

series84.0ms (1%)

Memory
10.3MiB live, 55.9MiB allocated; 7ms 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
59.0ms
N
@0
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
18.0ms
N
@-inf
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
7.0ms
N
@inf
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

rewrite209.0ms (2.5%)

Memory
-11.1MiB live, 148.8MiB allocated; 21ms 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))))

eval39.0ms (0.5%)

Memory
-35.9MiB live, 10.4MiB allocated; 3ms collecting garbage
Compiler

Compiled 1 131 to 289 computations (74.4% saved)

prune6.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New75479
Fresh000
Picked101
Done000
Total76480
Accuracy
99.9%
Counts
80 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
82.6%
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 N #s(literal -1 binary64)))
93.9%
#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) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 N)))
▶95.0%
#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))
Compiler

Compiled 61 to 49 computations (19.7% saved)

series6.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Counts
15 → 46
Calls
Call 1
Inputs
#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))
(/.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)
(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))))
#s(literal 1/3 binary64)
(pow.f64 N #s(literal -2 binary64))
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)))
#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))
(pow.f64 N #s(literal -3 binary64))
#s(literal -3 binary64)
#s(literal 1/4 binary64)
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (pow N -2) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx N #s(hole binary64 N))
#s(approx (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) #s(hole binary64 (/ (- (* -1/2 (pow N 2)) 1/4) (pow N 3))))
#s(approx (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) #s(hole binary64 (/ (- (* (pow N 2) (- N 1/2)) 1/4) (pow N 3))))
#s(approx (+ (* (pow N -3) 1/4) (/ 1/2 N)) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (+ (* (pow N -3) 1/4) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/4 (* 1/2 (pow N 2))) (pow N 3))))
#s(approx (pow N -3) #s(hole binary64 (/ 1 (pow N 3))))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 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 (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) #s(hole binary64 1))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))
#s(approx (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) #s(hole binary64 1))
#s(approx (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow N 2)))) N)))))
#s(approx (+ (* (pow N -3) 1/4) (/ 1/2 N)) #s(hole binary64 (/ 1/2 N)))
#s(approx (+ (* (pow N -3) 1/4) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/2 (* 1/4 (/ 1 (pow N 2)))) 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 (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
N
@0
((- (log (+ N 1)) (log N)) (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) 1/3 (pow N -2) N -2 (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)) (pow N -3) -3 1/4 (/ 1/2 N) 1/2)
2.0ms
N
@-inf
((- (log (+ N 1)) (log N)) (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) 1/3 (pow N -2) N -2 (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)) (pow N -3) -3 1/4 (/ 1/2 N) 1/2)
1.0ms
N
@inf
((- (log (+ N 1)) (log N)) (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) 1/3 (pow N -2) N -2 (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)) (pow N -3) -3 1/4 (/ 1/2 N) 1/2)

rewrite145.0ms (1.7%)

Memory
7.0MiB live, 146.7MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01721141
01811058
18891044
08248962
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
61 → 317
Calls
Call 1
Inputs
#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))
(/.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)
(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))))
#s(literal 1/3 binary64)
(pow.f64 N #s(literal -2 binary64))
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)))
#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))
(pow.f64 N #s(literal -3 binary64))
#s(literal -3 binary64)
#s(literal 1/4 binary64)
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 3))))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))))
#s(approx (pow N -2) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx N #s(hole binary64 N))
#s(approx (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) #s(hole binary64 (/ (- (* -1/2 (pow N 2)) 1/4) (pow N 3))))
#s(approx (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) #s(hole binary64 (/ (- (* (pow N 2) (- N 1/2)) 1/4) (pow N 3))))
#s(approx (+ (* (pow N -3) 1/4) (/ 1/2 N)) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (+ (* (pow N -3) 1/4) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/4 (* 1/2 (pow N 2))) (pow N 3))))
#s(approx (pow N -3) #s(hole binary64 (/ 1 (pow N 3))))
#s(approx (/ 1/2 N) #s(hole binary64 (/ 1/2 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 (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) #s(hole binary64 1))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) #s(hole binary64 (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))
#s(approx (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) #s(hole binary64 1))
#s(approx (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) #s(hole binary64 (- 1 (* 1/2 (/ 1 N)))))
#s(approx (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow N 2)))) N)))))
#s(approx (+ (* (pow N -3) 1/4) (/ 1/2 N)) #s(hole binary64 (/ 1/2 N)))
#s(approx (+ (* (pow N -3) 1/4) (/ 1/2 N)) #s(hole binary64 (/ (+ 1/2 (* 1/4 (/ 1 (pow N 2)))) 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 (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) #s(hole binary64 (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (+.f64 (/.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(literal 1 binary64)) N))
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) N) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) N)) (*.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N) N) (/.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N) N))) (+.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) N) (/.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N) N)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal -3 binary64)))) (*.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N))) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal -3 binary64))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) N)))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) N) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N) N) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) N) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) N) (fma.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N) N) (/.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N) N) (*.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) N) (/.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N) N)))))
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(neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 N) #s(literal 3 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) (log.f64 N))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 N)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 N)))
(+.f64 (cosh.f64 (*.f64 #s(literal -3 binary64) (log.f64 N))) (sinh.f64 (*.f64 #s(literal -3 binary64) (log.f64 N))))
#s(literal -3 binary64)
#s(literal 1/4 binary64)
(*.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))
(*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 N))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 N)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 N) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal 1/2 binary64) N)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N))
(/.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) N))
#s(literal 1/2 binary64)
#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 (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) 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 (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 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)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -3 binary64))))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 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 (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 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 (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (pow N -2) (pow.f64 N #s(literal -2 binary64)))
#s(approx N N)
#s(approx (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) (*.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -3 binary64))))
#s(approx (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) (/.f64 (fma.f64 (*.f64 N N) #s(literal -1/2 binary64) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) (/.f64 (fma.f64 (*.f64 N N) (-.f64 N #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (* (pow N -3) 1/4) (/ 1/2 N)) (*.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/4 binary64)))
#s(approx (+ (* (pow N -3) 1/4) (/ 1/2 N)) (/.f64 (fma.f64 (*.f64 N N) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (pow N -3) (pow.f64 N #s(literal -3 binary64)))
#s(approx (/ 1/2 N) (/.f64 #s(literal 1/2 binary64) 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 (+.f64 (/.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(literal 1 binary64)) N))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) (pow.f64 N #s(literal -1 binary64)))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) 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 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) (/.f64 (+.f64 (/.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(literal 1 binary64)) N))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) #s(literal 1 binary64))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) (+.f64 (/.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(literal 1 binary64)))
#s(approx (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) #s(literal 1 binary64))
#s(approx (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
#s(approx (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N))) (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)))
#s(approx (+ (* (pow N -3) 1/4) (/ 1/2 N)) (/.f64 #s(literal 1/2 binary64) N))
#s(approx (+ (* (pow N -3) 1/4) (/ 1/2 N)) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 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 (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 (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) 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 (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 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)))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)))
#s(approx (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)))

eval45.0ms (0.5%)

Memory
19.4MiB live, 65.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 11 433 to 1 701 computations (85.1% saved)

prune2.1s (25.9%)

Memory
-8.0MiB live, 1 906.5MiB allocated; 236ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3202322
Fresh213
Picked011
Done000
Total3224326
Accuracy
100.0%
Counts
326 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
✓95.0%
#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))
94.8%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/2 binary64)) N) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N)) N)))
▶94.5%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 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)) (pow.f64 N #s(literal 4 binary64)))))
Compiler

Compiled 115 to 82 computations (28.7% saved)

series5.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Counts
12 → 58
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 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)) (pow.f64 N #s(literal 4 binary64)))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 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)) (pow.f64 N #s(literal 4 binary64))))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64))
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))
(-.f64 N #s(literal 1/2 binary64))
N
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
#s(literal -1/4 binary64)
(pow.f64 N #s(literal 4 binary64))
#s(literal 4 binary64)
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (- (* 1/3 N) 1/4)))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (- (* N (+ 1/3 (* -1/2 N))) 1/4)))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4)))
#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 N #s(hole binary64 N))
#s(approx (pow N 4) #s(hole binary64 (pow N 4)))
#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 (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (pow N 3)))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (* (pow N 3) (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (* (pow N 3) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (* (pow N 3) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))))
#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 (+ 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 (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (* -1 (* (pow N 3) (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (* -1 (* (pow N 3) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (* -1 (* (pow N 3) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))))
#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
1.0ms
N
@-inf
((- (log (+ N 1)) (log N)) (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (+ (* (- N 1/2) N) 1/3) (- N 1/2) N 1/2 1/3 -1/4 (pow N 4) 4)
1.0ms
N
@inf
((- (log (+ N 1)) (log N)) (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (+ (* (- N 1/2) N) 1/3) (- N 1/2) N 1/2 1/3 -1/4 (pow N 4) 4)
1.0ms
N
@0
((- (log (+ N 1)) (log N)) (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (+ (* (- N 1/2) N) 1/3) (- N 1/2) N 1/2 1/3 -1/4 (pow N 4) 4)

rewrite223.0ms (2.7%)

Memory
-8.2MiB live, 92.2MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01761408
01851298
18001251
068381226
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
70 → 157
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 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)) (pow.f64 N #s(literal 4 binary64)))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 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)) (pow.f64 N #s(literal 4 binary64))))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64))
(fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64))
(-.f64 N #s(literal 1/2 binary64))
N
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
#s(literal -1/4 binary64)
(pow.f64 N #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 -1/4))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (- (* 1/3 N) 1/4)))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (- (* N (+ 1/3 (* -1/2 N))) 1/4)))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4)))
#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 N #s(hole binary64 N))
#s(approx (pow N 4) #s(hole binary64 (pow N 4)))
#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 (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (pow N 3)))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (* (pow N 3) (- 1 (* 1/2 (/ 1 N))))))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (* (pow N 3) (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))))))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (* (pow N 3) (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))))
#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 (+ 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 (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (* -1 (* (pow N 3) (- (* 1/2 (/ 1 N)) 1)))))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (* -1 (* (pow N 3) (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1)))))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) #s(hole binary64 (* -1 (* (pow N 3) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1)))))
#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
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 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)) (pow.f64 N #s(literal 4 binary64)))))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 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)) (pow.f64 N #s(literal 4 binary64))))
(/.f64 (/.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))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (pow.f64 N #s(literal 4 binary64)))) (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (pow.f64 N #s(literal 4 binary64))))) (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 4 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 4 binary64))))) (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (pow.f64 N #s(literal 4 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (pow.f64 N #s(literal 4 binary64)))) (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (pow.f64 N #s(literal 4 binary64))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))))) (-.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (pow.f64 N #s(literal 4 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (pow.f64 N #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (pow.f64 N #s(literal 4 binary64)))) (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (pow.f64 N #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 4 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (pow.f64 N #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (pow.f64 N #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (pow.f64 N #s(literal 4 binary64)))) (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (pow.f64 N #s(literal 4 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))) (*.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (pow.f64 N #s(literal 4 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 N #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) (pow.f64 N #s(literal 4 binary64))) (*.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 4 binary64))))
(/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) (pow.f64 N #s(literal 4 binary64)) (*.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -1/4 binary64))) (*.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 4 binary64))))
(/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) (neg.f64 (pow.f64 N #s(literal 4 binary64))) (*.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 N #s(literal 4 binary64)) (neg.f64 (pow.f64 N #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) #s(literal 3 binary64)) #s(literal 1/64 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (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 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) #s(literal 2 binary64))) (pow.f64 N #s(literal 4 binary64))))
(/.f64 (+.f64 #s(literal -1/64 binary64) (pow.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -1/4 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N)) (pow.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N) #s(literal 2 binary64))) (pow.f64 N #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64))) (neg.f64 (pow.f64 N #s(literal 4 binary64))))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64))) (pow.f64 N #s(literal 4 binary64))))
(neg.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (neg.f64 (pow.f64 N #s(literal 4 binary64)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N)) (/.f64 N (*.f64 N N)) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))))
(fma.f64 (/.f64 N (*.f64 N N)) (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (*.f64 N N)) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))))
(fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (pow.f64 N #s(literal 4 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 N #s(literal 4 binary64)))) (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (pow.f64 N #s(literal 4 binary64)))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 N #s(literal 4 binary64)))) (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (pow.f64 N #s(literal 4 binary64)))))
(fma.f64 N (/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 4 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64))))
(-.f64 (*.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 N (pow.f64 N #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 4 binary64))))
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#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) 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 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) (pow.f64 N #s(literal -1 binary64)))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) (/.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) N) -1/4) (pow N 4)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow.f64 N #s(literal 3 binary64)))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (* (- N 1/2) N) 1/3) (*.f64 N N))
#s(approx (+ (* (- N 1/2) N) 1/3) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) N))
#s(approx (+ (* (- N 1/2) N) 1/3) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (- N 1/2) N)
#s(approx (- N 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #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 (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 N)))) 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 (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 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)))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N)))
#s(approx (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) (/.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 (/ (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (pow N 4)) (/.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 (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (*.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (*.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (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 (+ (* (+ (* (- N 1/2) N) 1/3) N) -1/4) (*.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (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))))
#s(approx (+ (* (- N 1/2) N) 1/3) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) N))
#s(approx (- N 1/2) (*.f64 (neg.f64 N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))))

eval19.0ms (0.2%)

Memory
21.6MiB live, 21.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 7 824 to 799 computations (89.8% saved)

prune381.0ms (4.6%)

Memory
-19.5MiB live, 358.8MiB allocated; 32ms collecting garbage
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1620162
Fresh022
Picked011
Done011
Total1624166
Accuracy
100.0%
Counts
166 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
✓95.0%
#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))
▶94.8%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/2 binary64)) N) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N)) N)))
✓94.5%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 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)) (pow.f64 N #s(literal 4 binary64)))))
Compiler

Compiled 115 to 82 computations (28.7% saved)

series9.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Counts
22 → 83
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/2 binary64)) N) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N)) N)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/2 binary64)) N) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N)) N))
(-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/2 binary64)) N) #s(literal 2 binary64)))
(pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64))
(pow.f64 N #s(literal -2 binary64))
N
#s(literal -2 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/2 binary64)) N) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/2 binary64)) N)
(fma.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/2 binary64))
#s(literal -1/4 binary64)
#s(literal -1/2 binary64)
(*.f64 (+.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N)) N)
(+.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N))
(/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N)
(fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (* -1 (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- N (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* -1/2 N))) (log N))))
#s(approx (- (log (+ N 1)) (log N)) #s(hole binary64 (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))))
#s(approx (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) #s(hole binary64 (/ -1/16 (pow N 6))))
#s(approx (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) #s(hole binary64 (/ (- (* -5/36 (pow N 2)) 1/16) (pow N 6))))
#s(approx (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) #s(hole binary64 (/ (- (* (pow N 2) (- (* 5/12 (pow N 2)) 5/36)) 1/16) (pow N 6))))
#s(approx (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) #s(hole binary64 (/ (- (* (pow N 2) (- (* (pow N 2) (+ 5/12 (pow N 2))) 5/36)) 1/16) (pow N 6))))
#s(approx (pow (+ (* (pow N -2) 1/3) 1) 2) #s(hole binary64 (/ 1/9 (pow N 4))))
#s(approx (pow (+ (* (pow N -2) 1/3) 1) 2) #s(hole binary64 (/ (+ 1/9 (* 2/3 (pow N 2))) (pow N 4))))
#s(approx (pow (+ (* (pow N -2) 1/3) 1) 2) #s(hole binary64 (/ (+ 1/9 (* (pow N 2) (+ 2/3 (pow N 2)))) (pow N 4))))
#s(approx (+ (* (pow N -2) 1/3) 1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (+ (* (pow N -2) 1/3) 1) #s(hole binary64 (/ (+ 1/3 (pow N 2)) (pow N 2))))
#s(approx (pow N -2) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx N #s(hole binary64 N))
#s(approx (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2) #s(hole binary64 (/ 1/16 (pow N 6))))
#s(approx (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2) #s(hole binary64 (/ (+ 1/16 (* 1/4 (pow N 2))) (pow N 6))))
#s(approx (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2) #s(hole binary64 (/ (+ 1/16 (* (pow N 2) (+ 1/4 (* 1/4 (pow N 2))))) (pow N 6))))
#s(approx (/ (+ (* -1/4 (pow N -2)) -1/2) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (+ (* -1/4 (pow N -2)) -1/2) N) #s(hole binary64 (/ (- (* -1/2 (pow N 2)) 1/4) (pow N 3))))
#s(approx (+ (* -1/4 (pow N -2)) -1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (+ (* -1/4 (pow N -2)) -1/2) #s(hole binary64 (/ (- (* -1/2 (pow N 2)) 1/4) (pow N 2))))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) #s(hole binary64 (/ (+ 1/4 (* 1/3 N)) (pow N 2))))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) #s(hole binary64 (/ (+ 1/4 (* N (+ 1/3 (* 1/2 N)))) (pow N 2))))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) #s(hole binary64 (/ (+ 1/4 (* N (+ 1/3 (* N (+ 1/2 N))))) (pow N 2))))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) #s(hole binary64 (/ (+ 1/4 (* 1/3 N)) (pow N 3))))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) #s(hole binary64 (/ (+ 1/4 (* N (+ 1/3 (* 1/2 N)))) (pow N 3))))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) #s(hole binary64 (/ (+ 1/4 (* N (+ 1/3 (* N (+ 1/2 N))))) (pow N 3))))
#s(approx (/ (+ (* (pow N -2) 1/4) 1/2) N) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (/ (+ (* (pow N -2) 1/4) 1/2) N) #s(hole binary64 (/ (+ 1/4 (* 1/2 (pow N 2))) (pow N 3))))
#s(approx (+ (* (pow N -2) 1/4) 1/2) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (+ (* (pow N -2) 1/4) 1/2) #s(hole binary64 (/ (+ 1/4 (* 1/2 (pow N 2))) (pow N 2))))
#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 (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) #s(hole binary64 1))
#s(approx (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) #s(hole binary64 (+ 1 (* 5/12 (/ 1 (pow N 2))))))
#s(approx (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) #s(hole binary64 (- (+ 1 (* 5/12 (/ 1 (pow N 2)))) (/ 5/36 (pow N 4)))))
#s(approx (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ 5/36 (* 1/16 (/ 1 (pow N 2)))) (pow N 4))) (* 5/12 (/ 1 (pow N 2)))))))
#s(approx (pow (+ (* (pow N -2) 1/3) 1) 2) #s(hole binary64 1))
#s(approx (pow (+ (* (pow N -2) 1/3) 1) 2) #s(hole binary64 (+ 1 (* 2/3 (/ 1 (pow N 2))))))
#s(approx (pow (+ (* (pow N -2) 1/3) 1) 2) #s(hole binary64 (+ 1 (+ (/ 1/9 (pow N 4)) (* 2/3 (/ 1 (pow N 2)))))))
#s(approx (+ (* (pow N -2) 1/3) 1) #s(hole binary64 1))
#s(approx (+ (* (pow N -2) 1/3) 1) #s(hole binary64 (+ 1 (* 1/3 (/ 1 (pow N 2))))))
#s(approx (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2) #s(hole binary64 (/ (+ 1/4 (* 1/4 (/ 1 (pow N 2)))) (pow N 2))))
#s(approx (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2) #s(hole binary64 (/ (+ 1/4 (+ (/ 1/16 (pow N 4)) (* 1/4 (/ 1 (pow N 2))))) (pow N 2))))
#s(approx (/ (+ (* -1/4 (pow N -2)) -1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (+ (* -1/4 (pow N -2)) -1/2) N) #s(hole binary64 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow N 2)))) N))))
#s(approx (+ (* -1/4 (pow N -2)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* -1/4 (pow N -2)) -1/2) #s(hole binary64 (* -1 (+ 1/2 (* 1/4 (/ 1 (pow N 2)))))))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) #s(hole binary64 N))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) #s(hole binary64 (* N (+ 1 (* 1/2 (/ 1 N))))))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) #s(hole binary64 (* N (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))))))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) #s(hole binary64 (* N (+ 1 (+ (/ 1/3 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) #s(hole binary64 1))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) #s(hole binary64 (+ 1 (* 1/2 (/ 1 N)))))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) #s(hole binary64 (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N))))))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) #s(hole binary64 (+ 1 (+ (/ 1/3 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))))
#s(approx (/ (+ (* (pow N -2) 1/4) 1/2) N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (+ (* (pow N -2) 1/4) 1/2) N) #s(hole binary64 (/ (+ 1/2 (* 1/4 (/ 1 (pow N 2)))) N)))
#s(approx (+ (* (pow N -2) 1/4) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (pow N -2) 1/4) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 (/ 1 (pow N 2))))))
#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 (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) #s(hole binary64 (* -1 (* N (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 N))) N)) 1)))))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) #s(hole binary64 (* -1 (* N (- (* -1 (/ (+ 1/2 (+ (/ 1/4 (pow N 2)) (* 1/3 (/ 1 N)))) N)) 1)))))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
N
@0
((- (log (+ N 1)) (log N)) (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (pow (+ (* (pow N -2) 1/3) 1) 2) (+ (* (pow N -2) 1/3) 1) (pow N -2) N -2 1/3 1 2 (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2) (/ (+ (* -1/4 (pow N -2)) -1/2) N) (+ (* -1/4 (pow N -2)) -1/2) -1/4 -1/2 (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) (/ (+ (* (pow N -2) 1/4) 1/2) N) (+ (* (pow N -2) 1/4) 1/2) 1/4 1/2)
3.0ms
N
@inf
((- (log (+ N 1)) (log N)) (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (pow (+ (* (pow N -2) 1/3) 1) 2) (+ (* (pow N -2) 1/3) 1) (pow N -2) N -2 1/3 1 2 (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2) (/ (+ (* -1/4 (pow N -2)) -1/2) N) (+ (* -1/4 (pow N -2)) -1/2) -1/4 -1/2 (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) (/ (+ (* (pow N -2) 1/4) 1/2) N) (+ (* (pow N -2) 1/4) 1/2) 1/4 1/2)
2.0ms
N
@-inf
((- (log (+ N 1)) (log N)) (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (pow (+ (* (pow N -2) 1/3) 1) 2) (+ (* (pow N -2) 1/3) 1) (pow N -2) N -2 1/3 1 2 (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2) (/ (+ (* -1/4 (pow N -2)) -1/2) N) (+ (* -1/4 (pow N -2)) -1/2) -1/4 -1/2 (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) (/ (+ (* (pow N -2) 1/4) 1/2) N) (+ (* (pow N -2) 1/4) 1/2) 1/4 1/2)

rewrite212.0ms (2.6%)

Memory
-2.1MiB live, 228.1MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03162354
03422231
117372225
091552178
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
105 → 292
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/2 binary64)) N) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N)) N)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/2 binary64)) N) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N)) N))
(-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/2 binary64)) N) #s(literal 2 binary64)))
(pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64))
(pow.f64 N #s(literal -2 binary64))
N
#s(literal -2 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/2 binary64)) N) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/2 binary64)) N)
(fma.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/2 binary64))
#s(literal -1/4 binary64)
#s(literal -1/2 binary64)
(*.f64 (+.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N)) N)
(+.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N))
(/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N)
(fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#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 (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) #s(hole binary64 (/ -1/4 (pow N 4))))
#s(approx (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) #s(hole binary64 (/ (- (* 1/3 N) 1/4) (pow N 4))))
#s(approx (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))))
#s(approx (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) #s(hole binary64 (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))))
#s(approx (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) #s(hole binary64 (/ -1/16 (pow N 6))))
#s(approx (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) #s(hole binary64 (/ (- (* -5/36 (pow N 2)) 1/16) (pow N 6))))
#s(approx (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) #s(hole binary64 (/ (- (* (pow N 2) (- (* 5/12 (pow N 2)) 5/36)) 1/16) (pow N 6))))
#s(approx (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) #s(hole binary64 (/ (- (* (pow N 2) (- (* (pow N 2) (+ 5/12 (pow N 2))) 5/36)) 1/16) (pow N 6))))
#s(approx (pow (+ (* (pow N -2) 1/3) 1) 2) #s(hole binary64 (/ 1/9 (pow N 4))))
#s(approx (pow (+ (* (pow N -2) 1/3) 1) 2) #s(hole binary64 (/ (+ 1/9 (* 2/3 (pow N 2))) (pow N 4))))
#s(approx (pow (+ (* (pow N -2) 1/3) 1) 2) #s(hole binary64 (/ (+ 1/9 (* (pow N 2) (+ 2/3 (pow N 2)))) (pow N 4))))
#s(approx (+ (* (pow N -2) 1/3) 1) #s(hole binary64 (/ 1/3 (pow N 2))))
#s(approx (+ (* (pow N -2) 1/3) 1) #s(hole binary64 (/ (+ 1/3 (pow N 2)) (pow N 2))))
#s(approx (pow N -2) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx N #s(hole binary64 N))
#s(approx (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2) #s(hole binary64 (/ 1/16 (pow N 6))))
#s(approx (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2) #s(hole binary64 (/ (+ 1/16 (* 1/4 (pow N 2))) (pow N 6))))
#s(approx (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2) #s(hole binary64 (/ (+ 1/16 (* (pow N 2) (+ 1/4 (* 1/4 (pow N 2))))) (pow N 6))))
#s(approx (/ (+ (* -1/4 (pow N -2)) -1/2) N) #s(hole binary64 (/ -1/4 (pow N 3))))
#s(approx (/ (+ (* -1/4 (pow N -2)) -1/2) N) #s(hole binary64 (/ (- (* -1/2 (pow N 2)) 1/4) (pow N 3))))
#s(approx (+ (* -1/4 (pow N -2)) -1/2) #s(hole binary64 (/ -1/4 (pow N 2))))
#s(approx (+ (* -1/4 (pow N -2)) -1/2) #s(hole binary64 (/ (- (* -1/2 (pow N 2)) 1/4) (pow N 2))))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) #s(hole binary64 (/ (+ 1/4 (* 1/3 N)) (pow N 2))))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) #s(hole binary64 (/ (+ 1/4 (* N (+ 1/3 (* 1/2 N)))) (pow N 2))))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) #s(hole binary64 (/ (+ 1/4 (* N (+ 1/3 (* N (+ 1/2 N))))) (pow N 2))))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) #s(hole binary64 (/ (+ 1/4 (* 1/3 N)) (pow N 3))))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) #s(hole binary64 (/ (+ 1/4 (* N (+ 1/3 (* 1/2 N)))) (pow N 3))))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) #s(hole binary64 (/ (+ 1/4 (* N (+ 1/3 (* N (+ 1/2 N))))) (pow N 3))))
#s(approx (/ (+ (* (pow N -2) 1/4) 1/2) N) #s(hole binary64 (/ 1/4 (pow N 3))))
#s(approx (/ (+ (* (pow N -2) 1/4) 1/2) N) #s(hole binary64 (/ (+ 1/4 (* 1/2 (pow N 2))) (pow N 3))))
#s(approx (+ (* (pow N -2) 1/4) 1/2) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (+ (* (pow N -2) 1/4) 1/2) #s(hole binary64 (/ (+ 1/4 (* 1/2 (pow N 2))) (pow N 2))))
#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 (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)))
#s(approx (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)))
#s(approx (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) #s(hole binary64 1))
#s(approx (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) #s(hole binary64 (+ 1 (* 5/12 (/ 1 (pow N 2))))))
#s(approx (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) #s(hole binary64 (- (+ 1 (* 5/12 (/ 1 (pow N 2)))) (/ 5/36 (pow N 4)))))
#s(approx (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ 5/36 (* 1/16 (/ 1 (pow N 2)))) (pow N 4))) (* 5/12 (/ 1 (pow N 2)))))))
#s(approx (pow (+ (* (pow N -2) 1/3) 1) 2) #s(hole binary64 1))
#s(approx (pow (+ (* (pow N -2) 1/3) 1) 2) #s(hole binary64 (+ 1 (* 2/3 (/ 1 (pow N 2))))))
#s(approx (pow (+ (* (pow N -2) 1/3) 1) 2) #s(hole binary64 (+ 1 (+ (/ 1/9 (pow N 4)) (* 2/3 (/ 1 (pow N 2)))))))
#s(approx (+ (* (pow N -2) 1/3) 1) #s(hole binary64 1))
#s(approx (+ (* (pow N -2) 1/3) 1) #s(hole binary64 (+ 1 (* 1/3 (/ 1 (pow N 2))))))
#s(approx (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2) #s(hole binary64 (/ 1/4 (pow N 2))))
#s(approx (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2) #s(hole binary64 (/ (+ 1/4 (* 1/4 (/ 1 (pow N 2)))) (pow N 2))))
#s(approx (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2) #s(hole binary64 (/ (+ 1/4 (+ (/ 1/16 (pow N 4)) (* 1/4 (/ 1 (pow N 2))))) (pow N 2))))
#s(approx (/ (+ (* -1/4 (pow N -2)) -1/2) N) #s(hole binary64 (/ -1/2 N)))
#s(approx (/ (+ (* -1/4 (pow N -2)) -1/2) N) #s(hole binary64 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow N 2)))) N))))
#s(approx (+ (* -1/4 (pow N -2)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* -1/4 (pow N -2)) -1/2) #s(hole binary64 (* -1 (+ 1/2 (* 1/4 (/ 1 (pow N 2)))))))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) #s(hole binary64 N))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) #s(hole binary64 (* N (+ 1 (* 1/2 (/ 1 N))))))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) #s(hole binary64 (* N (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N)))))))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) #s(hole binary64 (* N (+ 1 (+ (/ 1/3 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))))))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) #s(hole binary64 1))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) #s(hole binary64 (+ 1 (* 1/2 (/ 1 N)))))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) #s(hole binary64 (+ 1 (+ (/ 1/3 (pow N 2)) (* 1/2 (/ 1 N))))))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) #s(hole binary64 (+ 1 (+ (/ 1/3 (pow N 2)) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))))))
#s(approx (/ (+ (* (pow N -2) 1/4) 1/2) N) #s(hole binary64 (/ 1/2 N)))
#s(approx (/ (+ (* (pow N -2) 1/4) 1/2) N) #s(hole binary64 (/ (+ 1/2 (* 1/4 (/ 1 (pow N 2)))) N)))
#s(approx (+ (* (pow N -2) 1/4) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (pow N -2) 1/4) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 (/ 1 (pow N 2))))))
#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 (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
#s(approx (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
#s(approx (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) #s(hole binary64 (* -1 (* N (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 N))) N)) 1)))))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) #s(hole binary64 (* -1 (* N (- (* -1 (/ (+ 1/2 (+ (/ 1/4 (pow N 2)) (* 1/3 (/ 1 N)))) N)) 1)))))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/4 (/ 1 N))) N)) 1/2) N)))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 2 binary64))) (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N))) N)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N))) N)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N))) N)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N))) N)) (/.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N))) N)) (fma.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N))) N)) (/.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N))) N)) (*.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N))) N)) (/.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N))) N))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 2 binary64))) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N))))) (neg.f64 N))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N))) N))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N))) N)) (*.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N))) N) (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 2 binary64)))) (*.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N))) N) (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N))) N)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 2 binary64))) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N)))) N)
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 2 binary64)))) (neg.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N))) N)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 2 binary64))) (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N))) N))
(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N))) N)) (/.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N))) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 6 binary64)) (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 4 binary64))) (+.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 6 binary64)) (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 4 binary64)) (+.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/2 binary64)) N)) #s(literal 2 binary64))))))
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(*.f64 (neg.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64))))
(*.f64 (fabs.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64))) (fabs.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64))))
(*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64)))) (exp.f64 (log1p.f64 (*.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64)))))
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(pow.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
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#s(approx (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2) (/.f64 (fma.f64 (fma.f64 (*.f64 N N) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 N N) #s(literal 1/16 binary64)) (pow.f64 N #s(literal 6 binary64))))
#s(approx (/ (+ (* -1/4 (pow N -2)) -1/2) N) (/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (+ (* -1/4 (pow N -2)) -1/2) N) (/.f64 (-.f64 (*.f64 (*.f64 N N) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (* -1/4 (pow N -2)) -1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N)))
#s(approx (+ (* -1/4 (pow N -2)) -1/2) (/.f64 (-.f64 (*.f64 (*.f64 N N) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 N N)))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) (*.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64)))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal 1/4 binary64)) (*.f64 N N)))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) (/.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 (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) N) N #s(literal 1/3 binary64)) N #s(literal 1/4 binary64)) (*.f64 N N)))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 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 (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 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 (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) (/.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 (/ (+ (* (pow N -2) 1/4) 1/2) N) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (/ (+ (* (pow N -2) 1/4) 1/2) N) (/.f64 (fma.f64 (*.f64 N N) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (* (pow N -2) 1/4) 1/2) (*.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64)))
#s(approx (+ (* (pow N -2) 1/4) 1/2) (/.f64 (fma.f64 (*.f64 N N) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (*.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #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 (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) (pow.f64 N #s(literal -1 binary64)))
#s(approx (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) (/.f64 (-.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) (/.f64 (-.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #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 (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) #s(literal 1 binary64))
#s(approx (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (fma.f64 #s(literal 5/12 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (-.f64 (fma.f64 #s(literal 5/12 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 5/36 binary64) (pow.f64 N #s(literal 4 binary64)))))
#s(approx (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (+.f64 (fma.f64 #s(literal 5/12 binary64) (pow.f64 N #s(literal -2 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal 5/36 binary64)) (pow.f64 N #s(literal 4 binary64))))) #s(literal 1 binary64)))
#s(approx (pow (+ (* (pow N -2) 1/3) 1) 2) #s(literal 1 binary64))
#s(approx (pow (+ (* (pow N -2) 1/3) 1) 2) (fma.f64 #s(literal 2/3 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (pow (+ (* (pow N -2) 1/3) 1) 2) (+.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 N #s(literal -2 binary64)) (/.f64 #s(literal 1/9 binary64) (pow.f64 N #s(literal 4 binary64)))) #s(literal 1 binary64)))
#s(approx (+ (* (pow N -2) 1/3) 1) #s(literal 1 binary64))
#s(approx (+ (* (pow N -2) 1/3) 1) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2) (*.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64)))
#s(approx (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 N N)))
#s(approx (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2) (/.f64 (+.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 N #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (*.f64 N N)))
#s(approx (/ (+ (* -1/4 (pow N -2)) -1/2) N) (/.f64 #s(literal -1/2 binary64) N))
#s(approx (/ (+ (* -1/4 (pow N -2)) -1/2) N) (neg.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N)))
#s(approx (+ (* -1/4 (pow N -2)) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* -1/4 (pow N -2)) -1/2) (neg.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) N)
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) (*.f64 (+.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)) N))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) (*.f64 (+.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (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)) N))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) #s(literal 1 binary64))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) (+.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) N)) #s(literal 1 binary64)))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) (+.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) (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)))
#s(approx (/ (+ (* (pow N -2) 1/4) 1/2) N) (/.f64 #s(literal 1/2 binary64) N))
#s(approx (/ (+ (* (pow N -2) 1/4) 1/2) N) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N))
#s(approx (+ (* (pow N -2) 1/4) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (pow N -2) 1/4) 1/2) (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (neg.f64 (/.f64 (-.f64 (neg.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)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.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)) N)))
#s(approx (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (/ (- (pow (+ (* (pow N -2) 1/3) 1) 2) (pow (/ (+ (* -1/4 (pow N -2)) -1/2) N) 2)) (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.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)) N)))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (* (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) N) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) N)) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (+ (+ (* (pow N -2) 1/3) 1) (/ (+ (* (pow N -2) 1/4) 1/2) N)) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) N)) #s(literal 1/2 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)))

eval67.0ms (0.8%)

Memory
-23.3MiB live, 80.1MiB allocated; 23ms collecting garbage
Compiler

Compiled 21 980 to 2 172 computations (90.1% saved)

prune3.0s (36.4%)

Memory
61.8MiB live, 2 899.4MiB allocated; 325ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New4000400
Fresh011
Picked011
Done022
Total4004404
Accuracy
100.0%
Counts
404 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
✓95.0%
#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))
✓94.8%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal -2 binary64)) #s(literal -1/2 binary64)) N) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) N)) N)))
✓94.5%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (+ (* 1/3 (pow N -2)) (- 1 (+ (* (pow N -3) 1/4) (/ 1/2 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)) (pow.f64 N #s(literal 4 binary64)))))
Compiler

Compiled 269 to 195 computations (27.5% saved)

derivations30.0ms (0.4%)

Memory
-19.7MiB live, 25.2MiB allocated; 11ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 4 to 4 computations (0% saved)

preprocess10.0ms (0.1%)

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

Compiled 22 to 20 computations (9.1% saved)

end0.0ms (0%)

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

Profiling

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