2log (problem 3.3.6)

Time bar (total: 5.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%3.2%96.8%0%0%0%0
100%3.2%0%96.8%0%0%0%1
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample2.1s (35.5%)

Memory
-282.0MiB live, 2 293.8MiB allocated
Samples
1.5s6 432×1valid
246.0ms1 824×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-log1p: 952.0ms (63.5% of total)
ival-log: 232.0ms (15.5% of total)
adjust: 157.0ms (10.5% of total)
ival-sub: 78.0ms (5.2% of total)
ival->: 31.0ms (2.1% of total)
ival-<: 23.0ms (1.5% of total)
ival-and: 11.0ms (0.7% of total)
exact: 11.0ms (0.7% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain148.0ms (2.5%)

Memory
-36.9MiB live, 313.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2451(980.5462628389724)3(28.258310575023774)(-.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))cancellation2436
Confusion
Predicted +Predicted -
+2423
-110
Precision
0.9958847736625515
Recall
0.9877551020408163
Confusion?
Predicted +Predicted MaybePredicted -
+24230
-137
Precision?
0.9839357429718876
Recall?
1.0
Freqs
test
numberfreq
013
1243
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
80.0ms400×1valid
11.0ms112×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-log: 20.0ms (34.3% of total)
ival-log1p: 14.0ms (24% of total)
ival-sub: 10.0ms (17.2% of total)
adjust: 8.0ms (13.7% of total)
ival-add: 6.0ms (10.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess16.0ms (0.3%)

Memory
-3.8MiB live, 42.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11119
067
0107
1137
0135
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Outputs
(-.f64 (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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.0%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

series105.0ms (1.8%)

Memory
-3.9MiB live, 137.9MiB allocated
Counts
6 → 27
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
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
N
(* N (+ 1 (* -1/2 N)))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
1
(+ 1 N)
(log N)
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(* -1 (log (/ 1 N)))
(+ (* -1 (log (/ 1 N))) (/ 1 N))
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(* N (+ 1 (/ 1 N)))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
Calls

3 calls:

TimeVariablePointExpression
46.0ms
N
@0
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
38.0ms
N
@inf
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
21.0ms
N
@-inf
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))

simplify151.0ms (2.6%)

Memory
31.7MiB live, 176.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088259
1254233
2628233
31729230
45360227
08305221
Stop Event
iter limit
node limit
Counts
27 → 26
Calls
Call 1
Inputs
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
N
(* N (+ 1 (* -1/2 N)))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
1
(+ 1 N)
(log N)
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(* -1 (log (/ 1 N)))
(+ (* -1 (log (/ 1 N))) (/ 1 N))
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(* N (+ 1 (/ 1 N)))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
Outputs
(* -1 (log N))
(neg.f64 (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (-.f64 N (log.f64 N)))
N
(* N (+ 1 (* -1/2 N)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N)
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N)
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) N #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N)
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(log N)
(log.f64 N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(* -1 (log (/ 1 N)))
(log.f64 N)
(+ (* -1 (log (/ 1 N))) (/ 1 N))
(+.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 N))
(- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(-.f64 (log.f64 N) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N))
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(-.f64 (log.f64 N) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal -1/2 binary64)) N) #s(literal 1 binary64)) N))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(+ (log -1) (* -1 (log (/ -1 N))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) (log.f64 (/.f64 #s(literal -1 binary64) N))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)) (log.f64 (/.f64 #s(literal -1 binary64) N)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal -1/2 binary64)) N) #s(literal 1 binary64)) N)) (log.f64 (/.f64 #s(literal -1 binary64) N)))

rewrite213.0ms (3.6%)

Memory
-21.3MiB live, 214.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01017
14117
225417
3234217
0841913
Stop Event
iter limit
node limit
iter limit
Counts
6 → 256
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(log.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(log.f64 N)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.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 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log1p.f64 (pow.f64 N #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (-.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (/.f64 (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))))
(*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log1p.f64 (pow.f64 N #s(literal -1 binary64))) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)))) (log1p.f64 (pow.f64 N #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (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 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (*.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (log.f64 N) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
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(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))
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(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 N N)) (-.f64 N #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 N #s(literal 1 binary64))) (-.f64 N #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 N N) (neg.f64 (-.f64 N #s(literal 1 binary64)))) (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 N #s(literal 1 binary64)) (neg.f64 (-.f64 N #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (*.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (*.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 N #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 3 binary64)))) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (*.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (*.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (-.f64 (neg.f64 (*.f64 N N)) #s(literal -1 binary64)) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -2 binary64))) (/.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 (/.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (/.f64 (pow.f64 N #s(literal 9 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 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 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 N N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 N #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.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 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (+.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(neg.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 N))) (sqrt.f64 (neg.f64 (neg.f64 N))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (neg.f64 N)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)) (pow.f64 N #s(literal 4 binary64))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)) (pow.f64 N #s(literal 4 binary64))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (/.f64 (pow.f64 N #s(literal 3/2 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))
(fma.f64 (*.f64 N N) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(fma.f64 N (/.f64 (*.f64 N N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 N))
(+.f64 (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 N))) (sqrt.f64 (neg.f64 (neg.f64 N))))
(*.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (neg.f64 N)))
(*.f64 (sqrt.f64 N) (sqrt.f64 N))
(*.f64 #s(literal 1 binary64) N)
(*.f64 N #s(literal 1 binary64))
(pow.f64 (neg.f64 N) #s(literal 1 binary64))
(pow.f64 (*.f64 N N) #s(literal 1/2 binary64))
(pow.f64 N #s(literal 1 binary64))
(sqrt.f64 (*.f64 N N))
(fabs.f64 (neg.f64 (neg.f64 N)))
(fabs.f64 (neg.f64 N))
(fabs.f64 N)
(+.f64 (cosh.f64 (log.f64 N)) (sinh.f64 (log.f64 N)))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 N) #s(literal 1 binary64)))
(exp.f64 (log.f64 N))
N
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (log.f64 N)))) (sqrt.f64 (neg.f64 (neg.f64 (log.f64 N)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))))
(*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)))
(pow.f64 (neg.f64 (log.f64 N)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (log.f64 N) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (log.f64 N)))) (sqrt.f64 (neg.f64 (neg.f64 (log.f64 N)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 N))) (sqrt.f64 (neg.f64 (log.f64 N))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 (log.f64 N)) #s(literal 0 binary64))
(sqrt.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (log.f64 N))))
(fabs.f64 (neg.f64 (log.f64 N)))
(fabs.f64 (log.f64 N))
(+.f64 (cosh.f64 (log.f64 (log.f64 N))) (sinh.f64 (log.f64 (log.f64 N))))
(+.f64 #s(literal 0 binary64) (log.f64 N))
(+.f64 (log.f64 N) #s(literal 0 binary64))
(exp.f64 (/.f64 (log.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 N)))
(log.f64 N)

eval52.0ms (0.9%)

Memory
27.1MiB live, 71.7MiB allocated
Compiler

Compiled 6 480 to 1 119 computations (82.7% saved)

prune11.0ms (0.2%)

Memory
-19.7MiB live, 25.1MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2897296
Fresh000
Picked101
Done000
Total2907297
Accuracy
100.0%
Counts
297 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))
99.8%
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
25.6%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
95.8%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
94.7%
#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))
92.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
85.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Compiler

Compiled 182 to 148 computations (18.7% saved)

simplify0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

series9.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB allocated
Counts
29 → 58
Calls
Call 1
Inputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(pow.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) N)
#s(literal -1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal -1/4 binary64) N)
#s(literal -1/4 binary64)
Outputs
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 1 N)
N
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/2 (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ -1/2 N)
(/ (- N 1/2) N)
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/ 1/3 (pow N 2))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 2))
(/ 1/3 N)
(/ (+ 1/3 (* -1/2 N)) N)
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/ -1/4 N)
(/ (- (* 1/3 N) 1/4) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
-1/2
(- (* 1/3 (/ 1 N)) 1/2)
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
1/3
(- 1/3 (* 1/4 (/ 1 N)))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
Calls

3 calls:

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

simplify189.0ms (3.2%)

Memory
-23.7MiB live, 165.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111506
1313472
2872442
32996442
08533429
Stop Event
iter limit
node limit
Counts
58 → 57
Calls
Call 1
Inputs
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 1 N)
N
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/2 (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ -1/2 N)
(/ (- N 1/2) N)
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/ 1/3 (pow N 2))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 2))
(/ 1/3 N)
(/ (+ 1/3 (* -1/2 N)) N)
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(/ -1/4 N)
(/ (- (* 1/3 N) 1/4) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
-1/2
(- (* 1/3 (/ 1 N)) 1/2)
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
1/3
(- 1/3 (* 1/4 (/ 1 N)))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
Outputs
(* -1 (log N))
(neg.f64 (log.f64 N))
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N)))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (-.f64 N (log.f64 N)))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
N
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (-.f64 N (log.f64 N)))
(/ -1/2 (pow N 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 N N))
(/ (- N 1/2) (pow N 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ (- N 1/2) N)
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N)
(/ 1/3 (pow N 3))
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ 1/3 (pow N 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(/ (+ 1/3 (* N (- N 1/2))) (pow N 2))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(/ 1/3 N)
(/.f64 #s(literal 1/3 binary64) N)
(/ (+ 1/3 (* -1/2 N)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (-.f64 (*.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)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (-.f64 (*.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)))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 N (+.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)))
(/ -1/4 (pow N 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 N N))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))
(-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64))
(/ -1/4 N)
(/.f64 #s(literal -1/4 binary64) N)
(/ (- (* 1/3 N) 1/4) N)
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (+.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 #s(literal -1/4 binary64) N)) (pow.f64 N #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(- 1 (* 1/2 (/ 1 N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N)
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 (/ 1 N)) 1/2)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/.f64 (fma.f64 (fma.f64 N (+.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)))
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)
(- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))
(-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64))
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
1/3
#s(literal 1/3 binary64)
(- 1/3 (* 1/4 (/ 1 N)))
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 (+.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 #s(literal -1/4 binary64) N)) (pow.f64 N #s(literal 3 binary64)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(/.f64 (fma.f64 (fma.f64 N (+.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)))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)
(- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)
(-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64))
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)

rewrite204.0ms (3.5%)

Memory
-1.3MiB live, 289.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033198
052194
1208194
21430194
08340190
Stop Event
iter limit
node limit
iter limit
Counts
29 → 433
Calls
Call 1
Inputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(pow.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) N)
#s(literal -1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N)
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal -1/4 binary64) N)
#s(literal -1/4 binary64)
Outputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (*.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))))))
(-.f64 (log.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64))) (log.f64 (expm1.f64 (neg.f64 (log.f64 N)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))
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(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)) N)) (/.f64 #s(literal 1/27 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)) N)))
(+.f64 (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) N) (/.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) N))
(+.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) N) N) (/.f64 #s(literal 1/3 binary64) N))
(+.f64 (/.f64 #s(literal 1/3 binary64) N) (/.f64 (/.f64 #s(literal -1/4 binary64) N) N))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) (-.f64 (*.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) (/.f64 #s(literal 1/27 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)))) (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) (/.f64 #s(literal 1/27 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)) #s(literal 1/27 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64))) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/12 binary64)) N))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)))
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/12 binary64)) N)))
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N)))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))) (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/12 binary64)) N))) (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/12 binary64)) N))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/12 binary64)) N))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/4 binary64) N)) #s(literal -1/12 binary64)) N))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))) (/.f64 #s(literal 1/27 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/12 binary64) N))))
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
(/.f64 #s(literal 1/4 binary64) (neg.f64 (neg.f64 (neg.f64 N))))
(/.f64 #s(literal 1/4 binary64) (neg.f64 N))
(/.f64 #s(literal -1/4 binary64) (neg.f64 (neg.f64 N)))
(/.f64 #s(literal -1/4 binary64) N)
(neg.f64 (/.f64 #s(literal 1/4 binary64) N))
#s(literal -1/4 binary64)

eval96.0ms (1.6%)

Memory
42.3MiB live, 87.3MiB allocated
Compiler

Compiled 17 155 to 2 591 computations (84.9% saved)

prune25.0ms (0.4%)

Memory
10.0MiB live, 52.3MiB allocated
Pruning

22 alts after pruning (18 fresh and 4 done)

PrunedKeptTotal
New48017497
Fresh112
Picked145
Done000
Total48222504
Accuracy
100.0%
Counts
504 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))
99.2%
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.7%
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
99.9%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
95.3%
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
25.6%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
95.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
94.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
95.8%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
94.7%
#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))
85.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N))
92.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
95.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) (*.f64 N (neg.f64 N))))
95.4%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
94.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
92.0%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
85.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
95.7%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) N) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)))
95.7%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
94.6%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
92.3%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 #s(literal -1 binary64) N)))
92.1%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
Compiler

Compiled 758 to 566 computations (25.3% saved)

simplify0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

series16.0ms (0.3%)

Memory
-37.8MiB live, 16.4MiB allocated
Counts
33 → 66
Calls
Call 1
Inputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
#s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
(/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))
(+.f64 #s(literal -1/2 binary64) N)
#s(literal -1/2 binary64)
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) N)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N)
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal -1/4 binary64) N)
#s(literal -1/4 binary64)
(+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) N)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(+.f64 #s(literal 1 binary64) N)
Outputs
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 1 N)
N
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/2 (pow N 2))
(/ (- N 1/2) (pow N 2))
-1/2
(- N 1/2)
(pow N 2)
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/ 1/3 (pow N 2))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(/ 1/3 N)
(/ (+ 1/3 (* -1/2 N)) N)
(/ -1 N)
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ -1/4 N)
(/ (- (* 1/3 N) 1/4) N)
(/ 1/2 N)
(/ (+ 1/2 (* -1 N)) N)
(/ (+ 1 N) N)
1
(+ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(* N (- 1 (* 1/2 (/ 1 N))))
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(- (* 1/3 (/ 1 N)) 1/2)
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
1/3
(- 1/3 (* 1/4 (/ 1 N)))
-1
(- (* 1/2 (/ 1 N)) 1)
(+ 1 (/ 1 N))
(* N (+ 1 (/ 1 N)))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
N
@0
((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (/ (+ -1/2 N) (* N N)) (+ -1/2 N) -1/2 (* N N) (- (log (+ N 1)) (log N)) (- (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ -1 N)) (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 1/2 (/ -1 N) -1 (- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) N) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 (+ (/ 1/2 N) -1) (/ 1/2 N) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ 1 N))
3.0ms
N
@-inf
((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (/ (+ -1/2 N) (* N N)) (+ -1/2 N) -1/2 (* N N) (- (log (+ N 1)) (log N)) (- (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ -1 N)) (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 1/2 (/ -1 N) -1 (- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) N) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 (+ (/ 1/2 N) -1) (/ 1/2 N) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ 1 N))
3.0ms
N
@inf
((log (+ 1 (/ 1 N))) (/ 1 N) 1 N (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (/ (+ -1/2 N) (* N N)) (+ -1/2 N) -1/2 (* N N) (- (log (+ N 1)) (log N)) (- (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ -1 N)) (/ (/ (- (/ 1/3 N) 1/2) N) N) (/ (- (/ 1/3 N) 1/2) N) (- (/ 1/3 N) 1/2) (/ 1/3 N) 1/3 1/2 (/ -1 N) -1 (- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) N) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 (+ (/ 1/2 N) -1) (/ 1/2 N) (log (/ (+ 1 N) N)) (/ (+ 1 N) N) (+ 1 N))

simplify148.0ms (2.5%)

Memory
15.4MiB live, 105.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118490
1335454
2902442
33227442
08456427
Stop Event
iter limit
node limit
Counts
66 → 65
Calls
Call 1
Inputs
(* -1 (log N))
(+ N (* -1 (log N)))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(/ 1 N)
N
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/2 (pow N 2))
(/ (- N 1/2) (pow N 2))
-1/2
(- N 1/2)
(pow N 2)
(/ 1/3 (pow N 3))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/ 1/3 (pow N 2))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(/ 1/3 N)
(/ (+ 1/3 (* -1/2 N)) N)
(/ -1 N)
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ -1/4 N)
(/ (- (* 1/3 N) 1/4) N)
(/ 1/2 N)
(/ (+ 1/2 (* -1 N)) N)
(/ (+ 1 N) N)
1
(+ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(* N (- 1 (* 1/2 (/ 1 N))))
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(- (* 1/3 (/ 1 N)) 1/2)
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
1/3
(- 1/3 (* 1/4 (/ 1 N)))
-1
(- (* 1/2 (/ 1 N)) 1)
(+ 1 (/ 1 N))
(* N (+ 1 (/ 1 N)))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
Outputs
(* -1 (log N))
(neg.f64 (log.f64 N))
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N)))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (-.f64 N (log.f64 N)))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
N
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (*.f64 N N) #s(literal -1/2 binary64) (-.f64 N (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N (-.f64 N (log.f64 N)))
(/ -1/2 (pow N 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 N N))
(/ (- N 1/2) (pow N 2))
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)
-1/2
#s(literal -1/2 binary64)
(- N 1/2)
(-.f64 N #s(literal 1/2 binary64))
(pow N 2)
(*.f64 N N)
(/ 1/3 (pow N 3))
(/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (+ 1/3 (* -1/2 N)) (pow N 3))
(/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (+ 1/3 (* N (- N 1/2))) (pow N 3))
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ 1/3 (pow N 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
(/ (+ 1/3 (* -1/2 N)) (pow N 2))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(/ 1/3 N)
(/.f64 #s(literal 1/3 binary64) N)
(/ (+ 1/3 (* -1/2 N)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (-.f64 (*.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)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (-.f64 (*.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)))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) N)
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.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)))
(/ -1/4 (pow N 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 N N))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
(/ -1/4 N)
(/.f64 #s(literal -1/4 binary64) N)
(/ (- (* 1/3 N) 1/4) N)
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ (+ 1/2 (* -1 N)) N)
(-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))
(/ (+ 1 N) N)
(/.f64 (-.f64 N #s(literal -1 binary64)) N)
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (+.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 #s(literal -1/4 binary64) N)) (pow.f64 N #s(literal 3 binary64)))
(* N (- 1 (* 1/2 (/ 1 N))))
(-.f64 N #s(literal 1/2 binary64))
(/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(- (* 1/3 (/ 1 N)) 1/2)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(- 1 (* 1/2 (/ 1 N)))
(/.f64 (-.f64 N #s(literal 1/2 binary64)) N)
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/.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)))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
1/3
#s(literal 1/3 binary64)
(- 1/3 (* 1/4 (/ 1 N)))
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ 1 N)) 1)
(-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))
(+ 1 (/ 1 N))
(/.f64 (-.f64 N #s(literal -1 binary64)) N)
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 (+.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) (/.f64 #s(literal -1/4 binary64) N)) (pow.f64 N #s(literal 3 binary64)))
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(-.f64 N #s(literal 1/2 binary64))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal 1/2 binary64)) N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)

rewrite181.0ms (3.1%)

Memory
11.7MiB live, 248.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040229
063220
1264208
22067208
08140208
Stop Event
iter limit
node limit
iter limit
Counts
33 → 594
Calls
Call 1
Inputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
#s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
(/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))
(+.f64 #s(literal -1/2 binary64) N)
#s(literal -1/2 binary64)
(*.f64 N N)
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N)
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)
(-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/3 binary64) N)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) N)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N)
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal -1/4 binary64) N)
#s(literal -1/4 binary64)
(+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) N)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(+.f64 #s(literal 1 binary64) N)
Outputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 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 (log.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64))) (log.f64 (expm1.f64 (neg.f64 (log.f64 N)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (neg.f64 N) #s(literal -1 binary64)))) (log.f64 (neg.f64 (neg.f64 N))))
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(*.f64 #s(literal 1 binary64) (*.f64 N N))
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(/.f64 (-.f64 (*.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)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 N))) (sqrt.f64 (neg.f64 (neg.f64 N))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (neg.f64 N)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64))
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(+.f64 (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #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 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1 binary64) N)))
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)

eval163.0ms (2.8%)

Memory
-19.7MiB live, 224.8MiB allocated
Compiler

Compiled 23 229 to 3 488 computations (85% saved)

prune30.0ms (0.5%)

Memory
-5.5MiB live, 87.5MiB allocated
Pruning

23 alts after pruning (16 fresh and 7 done)

PrunedKeptTotal
New8228830
Fresh5813
Picked235
Done044
Total82923852
Accuracy
100.0%
Counts
852 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))
99.2%
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.6%
(log1p.f64 (/.f64 N (*.f64 N N)))
99.9%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
25.6%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
95.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (*.f64 (sqrt.f64 N) (sqrt.f64 N))))
94.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
95.8%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
94.7%
#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))
95.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
85.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N))
92.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
95.8%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
95.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) (*.f64 N (neg.f64 N))))
94.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
85.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
95.7%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) N) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)))
95.7%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
92.3%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 #s(literal -1 binary64) N)))
95.7%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
94.6%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
92.0%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))))
92.1%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
Compiler

Compiled 829 to 620 computations (25.2% saved)

simplify0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated

series53.0ms (0.9%)

Memory
39.5MiB live, 83.4MiB allocated
Counts
44 → 110
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))
(log1p.f64 (pow.f64 N #s(literal -3 binary64)))
(pow.f64 N #s(literal -3 binary64))
N
#s(literal -3 binary64)
(log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))
(/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)
(expm1.f64 (neg.f64 (log.f64 N)))
(neg.f64 (log.f64 N))
(log.f64 N)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))))
#s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
(-.f64 #s(literal 1/4 binary64) (*.f64 N N))
#s(literal 1/4 binary64)
(*.f64 N N)
(*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))
(-.f64 #s(literal -1/2 binary64) N)
#s(literal -1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
(/.f64 (-.f64 (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)
(-.f64 (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N)
(/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N)
#s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N)
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal -1/4 binary64) N)
#s(literal -1/4 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (*.f64 (sqrt.f64 N) (sqrt.f64 N))))
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (*.f64 (sqrt.f64 N) (sqrt.f64 N)))
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 N) (sqrt.f64 N))
(sqrt.f64 N)
Outputs
(- (* -3 (log N)) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N))))
(- (+ (* -3 (log N)) (* -1 (/ N (- (exp (neg (log N))) 1)))) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N))))
(- (+ (* -3 (log N)) (* N (- (* 1/2 (/ N (pow (- (exp (neg (log N))) 1) 2))) (/ 1 (- (exp (neg (log N))) 1))))) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N))))
(- (+ (* -3 (log N)) (* N (- (* N (+ (* N (- 1 (* 1/3 (/ 1 (pow (- (exp (neg (log N))) 1) 3))))) (* 1/2 (/ 1 (pow (- (exp (neg (log N))) 1) 2))))) (/ 1 (- (exp (neg (log N))) 1))))) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N))))
(* -3 (log N))
(+ (* -3 (log N)) (pow N 3))
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3)))))
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2)))))
(/ 1 (pow N 3))
N
(+ (log (- (exp (neg (log N))) 1)) (* -1 (log N)))
(+ (log (- (exp (neg (log N))) 1)) (+ (* -1 (log N)) (/ N (- (exp (neg (log N))) 1))))
(+ (log (- (exp (neg (log N))) 1)) (+ (* -1 (log N)) (* N (+ (* -1/2 (/ N (pow (- (exp (neg (log N))) 1) 2))) (/ 1 (- (exp (neg (log N))) 1))))))
(+ (log (- (exp (neg (log N))) 1)) (+ (* -1 (log N)) (* N (+ (* N (- (* 1/3 (/ N (pow (- (exp (neg (log N))) 1) 3))) (* 1/2 (/ 1 (pow (- (exp (neg (log N))) 1) 2))))) (/ 1 (- (exp (neg (log N))) 1))))))
(/ (- (exp (neg (log N))) 1) N)
(- (exp (neg (log N))) 1)
(* -1 (log N))
(log N)
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/2 (pow N 2))
(/ (- N 1/2) (pow N 2))
1/4
(+ 1/4 (* -1 (pow N 2)))
(pow N 2)
(* -1/2 (pow N 2))
(* (pow N 2) (- (* -1 N) 1/2))
-1/2
(- (* -1 N) 1/2)
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ -1/4 N)
(/ (- (* 1/3 N) 1/4) N)
(/ 1/2 N)
(/ (+ 1/2 (* -1 N)) N)
(/ (- (* N (+ 1/3 (pow N 2))) 1/4) (pow N 3))
(sqrt N)
(/ (- 1 (exp (neg (* -1 (log (/ 1 N)))))) N)
(/ (- (+ 1 (* 1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N))) (exp (neg (* -1 (log (/ 1 N)))))) N)
(/ (- (+ 1 (/ 1 (pow N 2))) (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2)))))) N)
(/ (- (+ 1 (+ (* 1/4 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 4) (pow N 3))) (/ 1 (pow N 2)))) (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2)))))) N)
(/ (- 1 (* 1/2 (/ 1 (pow N 3)))) (pow N 3))
(/ (- (+ 1 (/ 1/3 (pow N 6))) (* 1/2 (/ 1 (pow N 3)))) (pow N 3))
(/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3))
(/ (- (exp (neg (* -1 (log (/ 1 N))))) 1) N)
(/ (- (+ (exp (neg (* -1 (log (/ 1 N))))) (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N))) 1) N)
(/ (- (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2))))) 1) N)
(/ (- (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (+ (* -1/4 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 4) (pow N 3))) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2)))))) 1) N)
(- (exp (neg (* -1 (log (/ 1 N))))) 1)
(log (/ 1 N))
(* -1 (log (/ 1 N)))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(* -1 (pow N 2))
(* (pow N 2) (- (* 1/4 (/ 1 (pow N 2))) 1))
(* -1 (pow N 3))
(* -1 (* (pow N 3) (+ 1 (* 1/2 (/ 1 N)))))
(* -1 N)
(* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ 1/3 (pow N 2))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(/ 1/3 N)
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
1/3
(- 1/3 (* 1/4 (/ 1 N)))
-1
(- (* 1/2 (/ 1 N)) 1)
(+ 1 (* 1/3 (/ 1 (pow N 2))))
(- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (/ 1/4 (pow N 3)))
(* -1 (/ (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) N))
(* -1 (/ (- (* -1/2 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2) N)) (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1))) N))
(* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3) N)) (/ 1 N)) (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2))) N)) (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1))) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/4 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 4) N)) (+ 1 (* -1/3 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3)))) N)) (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2))) N)) (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1))) N))
(* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3)))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))
(/ (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) N)
(* -1 (/ (+ (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1)) (* 1/2 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2) N))) N))
(* -1 (/ (+ (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1)) (* -1 (/ (+ (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2)) (* 1/3 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3) N))) N))) N))
(* -1 (/ (+ (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1)) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3)) (* 1/4 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 4) N))) N)) (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2))) N))) N))
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1)
(* -1 (+ (log -1) (* -1 (log (/ -1 N)))))
(+ (log -1) (* -1 (log (/ -1 N))))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(/ -1 (* N (pow (sqrt -1) 2)))
(* -1 (/ (- (/ 1 (pow (sqrt -1) 2)) (* 1/2 (/ 1 (* N (pow (sqrt -1) 2))))) N))
(* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* N (pow (sqrt -1) 2))))) N)) (/ 1 (pow (sqrt -1) 2))) N))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/3 (/ 1 (pow (sqrt -1) 2))) (* 1/4 (/ 1 (* N (pow (sqrt -1) 2))))) N)) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) N)) (/ 1 (pow (sqrt -1) 2))) N))
(* -1 (* N (pow (sqrt -1) 2)))
(* -1 (* (sqrt N) (pow (sqrt -1) 2)))
Calls

3 calls:

TimeVariablePointExpression
22.0ms
N
@inf
((- (log (+ 1 (pow N -3))) (log (+ 1 (/ (- (exp (neg (log N))) 1) N)))) (log (+ 1 (pow N -3))) (pow N -3) N -3 (log (+ 1 (/ (- (exp (neg (log N))) 1) N))) (/ (- (exp (neg (log N))) 1) N) (- (exp (neg (log N))) 1) (neg (log N)) (log N) (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (/ (- 1/4 (* N N)) (* (- -1/2 N) (* N N))) (- 1/4 (* N N)) 1/4 (* N N) (* (- -1/2 N) (* N N)) (- -1/2 N) -1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) N) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) 1/3 (+ (/ 1/2 N) -1) (/ 1/2 N) 1/2 -1 (- (log (+ N 1)) (log N)) (/ (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) N) (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 (- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (* (sqrt N) (sqrt N))) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (* (sqrt N) (sqrt N)) (sqrt N))
18.0ms
N
@-inf
((- (log (+ 1 (pow N -3))) (log (+ 1 (/ (- (exp (neg (log N))) 1) N)))) (log (+ 1 (pow N -3))) (pow N -3) N -3 (log (+ 1 (/ (- (exp (neg (log N))) 1) N))) (/ (- (exp (neg (log N))) 1) N) (- (exp (neg (log N))) 1) (neg (log N)) (log N) (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (/ (- 1/4 (* N N)) (* (- -1/2 N) (* N N))) (- 1/4 (* N N)) 1/4 (* N N) (* (- -1/2 N) (* N N)) (- -1/2 N) -1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) N) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) 1/3 (+ (/ 1/2 N) -1) (/ 1/2 N) 1/2 -1 (- (log (+ N 1)) (log N)) (/ (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) N) (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 (- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (* (sqrt N) (sqrt N))) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (* (sqrt N) (sqrt N)) (sqrt N))
11.0ms
N
@0
((- (log (+ 1 (pow N -3))) (log (+ 1 (/ (- (exp (neg (log N))) 1) N)))) (log (+ 1 (pow N -3))) (pow N -3) N -3 (log (+ 1 (/ (- (exp (neg (log N))) 1) N))) (/ (- (exp (neg (log N))) 1) N) (- (exp (neg (log N))) 1) (neg (log N)) (log N) (- (log (+ N 1)) (log N)) (/ (- (/ -1/2 N) -1) N) (/ (- 1/4 (* N N)) (* (- -1/2 N) (* N N))) (- 1/4 (* N N)) 1/4 (* N N) (* (- -1/2 N) (* N N)) (- -1/2 N) -1/2 (- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) N) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) 1/3 (+ (/ 1/2 N) -1) (/ 1/2 N) 1/2 -1 (- (log (+ N 1)) (log N)) (/ (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) N) (- (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ 1/2 N)) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (/ (/ (+ (/ -1/4 N) 1/3) N) N) (/ (+ (/ -1/4 N) 1/3) N) (+ (/ -1/4 N) 1/3) (/ -1/4 N) -1/4 (- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (* (sqrt N) (sqrt N))) (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) (+ (/ 1/2 N) -1)) (* (sqrt N) (sqrt N)) (sqrt N))

simplify128.0ms (2.2%)

Memory
-17.9MiB live, 126.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03571560
111091396
237501284
093331184
Stop Event
iter limit
node limit
Counts
110 → 109
Calls
Call 1
Inputs
(- (* -3 (log N)) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N))))
(- (+ (* -3 (log N)) (* -1 (/ N (- (exp (neg (log N))) 1)))) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N))))
(- (+ (* -3 (log N)) (* N (- (* 1/2 (/ N (pow (- (exp (neg (log N))) 1) 2))) (/ 1 (- (exp (neg (log N))) 1))))) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N))))
(- (+ (* -3 (log N)) (* N (- (* N (+ (* N (- 1 (* 1/3 (/ 1 (pow (- (exp (neg (log N))) 1) 3))))) (* 1/2 (/ 1 (pow (- (exp (neg (log N))) 1) 2))))) (/ 1 (- (exp (neg (log N))) 1))))) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N))))
(* -3 (log N))
(+ (* -3 (log N)) (pow N 3))
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3)))))
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2)))))
(/ 1 (pow N 3))
N
(+ (log (- (exp (neg (log N))) 1)) (* -1 (log N)))
(+ (log (- (exp (neg (log N))) 1)) (+ (* -1 (log N)) (/ N (- (exp (neg (log N))) 1))))
(+ (log (- (exp (neg (log N))) 1)) (+ (* -1 (log N)) (* N (+ (* -1/2 (/ N (pow (- (exp (neg (log N))) 1) 2))) (/ 1 (- (exp (neg (log N))) 1))))))
(+ (log (- (exp (neg (log N))) 1)) (+ (* -1 (log N)) (* N (+ (* N (- (* 1/3 (/ N (pow (- (exp (neg (log N))) 1) 3))) (* 1/2 (/ 1 (pow (- (exp (neg (log N))) 1) 2))))) (/ 1 (- (exp (neg (log N))) 1))))))
(/ (- (exp (neg (log N))) 1) N)
(- (exp (neg (log N))) 1)
(* -1 (log N))
(log N)
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(/ -1/2 (pow N 2))
(/ (- N 1/2) (pow N 2))
1/4
(+ 1/4 (* -1 (pow N 2)))
(pow N 2)
(* -1/2 (pow N 2))
(* (pow N 2) (- (* -1 N) 1/2))
-1/2
(- (* -1 N) 1/2)
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/ -1/4 (pow N 2))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/ -1/4 N)
(/ (- (* 1/3 N) 1/4) N)
(/ 1/2 N)
(/ (+ 1/2 (* -1 N)) N)
(/ (- (* N (+ 1/3 (pow N 2))) 1/4) (pow N 3))
(sqrt N)
(/ (- 1 (exp (neg (* -1 (log (/ 1 N)))))) N)
(/ (- (+ 1 (* 1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N))) (exp (neg (* -1 (log (/ 1 N)))))) N)
(/ (- (+ 1 (/ 1 (pow N 2))) (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2)))))) N)
(/ (- (+ 1 (+ (* 1/4 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 4) (pow N 3))) (/ 1 (pow N 2)))) (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2)))))) N)
(/ (- 1 (* 1/2 (/ 1 (pow N 3)))) (pow N 3))
(/ (- (+ 1 (/ 1/3 (pow N 6))) (* 1/2 (/ 1 (pow N 3)))) (pow N 3))
(/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3))
(/ (- (exp (neg (* -1 (log (/ 1 N))))) 1) N)
(/ (- (+ (exp (neg (* -1 (log (/ 1 N))))) (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N))) 1) N)
(/ (- (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2))))) 1) N)
(/ (- (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (+ (* -1/4 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 4) (pow N 3))) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2)))))) 1) N)
(- (exp (neg (* -1 (log (/ 1 N))))) 1)
(log (/ 1 N))
(* -1 (log (/ 1 N)))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(* -1 (pow N 2))
(* (pow N 2) (- (* 1/4 (/ 1 (pow N 2))) 1))
(* -1 (pow N 3))
(* -1 (* (pow N 3) (+ 1 (* 1/2 (/ 1 N)))))
(* -1 N)
(* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))
1
(- 1 (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(/ 1/3 (pow N 2))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(/ 1/3 N)
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
1/3
(- 1/3 (* 1/4 (/ 1 N)))
-1
(- (* 1/2 (/ 1 N)) 1)
(+ 1 (* 1/3 (/ 1 (pow N 2))))
(- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (/ 1/4 (pow N 3)))
(* -1 (/ (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) N))
(* -1 (/ (- (* -1/2 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2) N)) (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1))) N))
(* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3) N)) (/ 1 N)) (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2))) N)) (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1))) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/4 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 4) N)) (+ 1 (* -1/3 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3)))) N)) (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2))) N)) (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1))) N))
(* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3)))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))
(/ (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) N)
(* -1 (/ (+ (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1)) (* 1/2 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2) N))) N))
(* -1 (/ (+ (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1)) (* -1 (/ (+ (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2)) (* 1/3 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3) N))) N))) N))
(* -1 (/ (+ (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1)) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3)) (* 1/4 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 4) N))) N)) (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2))) N))) N))
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1)
(* -1 (+ (log -1) (* -1 (log (/ -1 N)))))
(+ (log -1) (* -1 (log (/ -1 N))))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(/ -1 (* N (pow (sqrt -1) 2)))
(* -1 (/ (- (/ 1 (pow (sqrt -1) 2)) (* 1/2 (/ 1 (* N (pow (sqrt -1) 2))))) N))
(* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* N (pow (sqrt -1) 2))))) N)) (/ 1 (pow (sqrt -1) 2))) N))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/3 (/ 1 (pow (sqrt -1) 2))) (* 1/4 (/ 1 (* N (pow (sqrt -1) 2))))) N)) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) N)) (/ 1 (pow (sqrt -1) 2))) N))
(* -1 (* N (pow (sqrt -1) 2)))
(* -1 (* (sqrt N) (pow (sqrt -1) 2)))
Outputs
(- (* -3 (log N)) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N))))
(-.f64 (fma.f64 (log.f64 N) #s(literal -3 binary64) (log.f64 N)) (log.f64 (expm1.f64 (neg.f64 (log.f64 N)))))
(- (+ (* -3 (log N)) (* -1 (/ N (- (exp (neg (log N))) 1)))) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N))))
(fma.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (log.f64 N)))) N (-.f64 (fma.f64 (log.f64 N) #s(literal -3 binary64) (log.f64 N)) (log.f64 (expm1.f64 (neg.f64 (log.f64 N))))))
(- (+ (* -3 (log N)) (* N (- (* 1/2 (/ N (pow (- (exp (neg (log N))) 1) 2))) (/ 1 (- (exp (neg (log N))) 1))))) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N))))
(fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) N) (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 (log.f64 N))))) N (-.f64 (fma.f64 (log.f64 N) #s(literal -3 binary64) (log.f64 N)) (log.f64 (expm1.f64 (neg.f64 (log.f64 N))))))
(- (+ (* -3 (log N)) (* N (- (* N (+ (* N (- 1 (* 1/3 (/ 1 (pow (- (exp (neg (log N))) 1) 3))))) (* 1/2 (/ 1 (pow (- (exp (neg (log N))) 1) 2))))) (/ 1 (- (exp (neg (log N))) 1))))) (+ (log (- (exp (neg (log N))) 1)) (* -1 (log N))))
(fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 3 binary64)))) N (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)))) N) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 (log.f64 N))))) N (-.f64 (fma.f64 (log.f64 N) #s(literal -3 binary64) (log.f64 N)) (log.f64 (expm1.f64 (neg.f64 (log.f64 N))))))
(* -3 (log N))
(*.f64 (log.f64 N) #s(literal -3 binary64))
(+ (* -3 (log N)) (pow N 3))
(fma.f64 (log.f64 N) #s(literal -3 binary64) (pow.f64 N #s(literal 3 binary64)))
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* -1/2 (pow N 3)))))
(fma.f64 (log.f64 N) #s(literal -3 binary64) (fma.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal -1/2 binary64) (pow.f64 N #s(literal 3 binary64))))
(+ (* -3 (log N)) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2)))))
(fma.f64 (log.f64 N) #s(literal -3 binary64) (fma.f64 (pow.f64 N #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 N #s(literal 3 binary64))))
(/ 1 (pow N 3))
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
N
(+ (log (- (exp (neg (log N))) 1)) (* -1 (log N)))
(-.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 N)))) (log.f64 N))
(+ (log (- (exp (neg (log N))) 1)) (+ (* -1 (log N)) (/ N (- (exp (neg (log N))) 1))))
(+.f64 (-.f64 (/.f64 N (expm1.f64 (neg.f64 (log.f64 N)))) (log.f64 N)) (log.f64 (expm1.f64 (neg.f64 (log.f64 N)))))
(+ (log (- (exp (neg (log N))) 1)) (+ (* -1 (log N)) (* N (+ (* -1/2 (/ N (pow (- (exp (neg (log N))) 1) 2))) (/ 1 (- (exp (neg (log N))) 1))))))
(fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) N) (expm1.f64 (neg.f64 (log.f64 N)))) #s(literal 1 binary64)) (expm1.f64 (neg.f64 (log.f64 N)))) N (-.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 N)))) (log.f64 N)))
(+ (log (- (exp (neg (log N))) 1)) (+ (* -1 (log N)) (* N (+ (* N (- (* 1/3 (/ N (pow (- (exp (neg (log N))) 1) 3))) (* 1/2 (/ 1 (pow (- (exp (neg (log N))) 1) 2))))) (/ 1 (- (exp (neg (log N))) 1))))))
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) N) (expm1.f64 (neg.f64 (log.f64 N))))) (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64))) N (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 (log.f64 N))))) N (-.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 N)))) (log.f64 N)))
(/ (- (exp (neg (log N))) 1) N)
(/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)
(- (exp (neg (log N))) 1)
(expm1.f64 (neg.f64 (log.f64 N)))
(* -1 (log N))
(neg.f64 (log.f64 N))
(log N)
(log.f64 N)
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N (neg.f64 (log.f64 N)))
(/ -1/2 (pow N 2))
(/.f64 (/.f64 #s(literal -1/2 binary64) N) N)
(/ (- N 1/2) (pow N 2))
(/.f64 (/.f64 (-.f64 N #s(literal 1/2 binary64)) N) N)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1 (pow N 2)))
(-.f64 #s(literal 1/4 binary64) (*.f64 N N))
(pow N 2)
(*.f64 N N)
(* -1/2 (pow N 2))
(*.f64 (*.f64 N N) #s(literal -1/2 binary64))
(* (pow N 2) (- (* -1 N) 1/2))
(*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) N) N) N)
-1/2
#s(literal -1/2 binary64)
(- (* -1 N) 1/2)
(-.f64 #s(literal -1/2 binary64) N)
(/ -1/4 (pow N 4))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) N) #s(literal 1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (-.f64 (*.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)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (-.f64 (*.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)))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.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)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.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)))
(/ -1/4 (pow N 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 N N))
(/ (- (* 1/3 N) 1/4) (pow N 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) N) N)
(/ -1/4 N)
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(/ (- (* 1/3 N) 1/4) N)
(/.f64 (fma.f64 #s(literal 1/3 binary64) N #s(literal -1/4 binary64)) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ (+ 1/2 (* -1 N)) N)
(/.f64 (-.f64 #s(literal 1/2 binary64) N) N)
(/ (- (* N (+ 1/3 (pow N 2))) 1/4) (pow N 3))
(/.f64 (fma.f64 (fma.f64 N N #s(literal 1/3 binary64)) N #s(literal -1/4 binary64)) (pow.f64 N #s(literal 3 binary64)))
(sqrt N)
(sqrt.f64 N)
(/ (- 1 (exp (neg (* -1 (log (/ 1 N)))))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) N)
(/ (- (+ 1 (* 1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N))) (exp (neg (* -1 (log (/ 1 N)))))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) N)) N)
(/ (- (+ 1 (/ 1 (pow N 2))) (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2)))))) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (/.f64 (fma.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) N) (*.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) N)) N)
(/ (- (+ 1 (+ (* 1/4 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 4) (pow N 3))) (/ 1 (pow N 2)))) (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2)))))) N)
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(/ (- 1 (* 1/2 (/ 1 (pow N 3)))) (pow N 3))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 N #s(literal 3 binary64)))
(/ (- (+ 1 (/ 1/3 (pow N 6))) (* 1/2 (/ 1 (pow N 3)))) (pow N 3))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 3 binary64))))) (pow.f64 N #s(literal 3 binary64)))
(/ (- (+ 1 (/ 1/3 (pow N 6))) (+ (* 1/2 (/ 1 (pow N 3))) (* 1/4 (/ 1 (pow N 9))))) (pow N 3))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 3 binary64))))) (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 9 binary64)))) (pow.f64 N #s(literal 3 binary64)))
(/ (- (exp (neg (* -1 (log (/ 1 N))))) 1) N)
(/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)
(/ (- (+ (exp (neg (* -1 (log (/ 1 N))))) (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N))) 1) N)
(/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) N) #s(literal 1 binary64)) N)
(/ (- (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2))))) 1) N)
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(/ (- (+ (exp (neg (* -1 (log (/ 1 N))))) (+ (* -1/2 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 2) N)) (+ (* -1/4 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 4) (pow N 3))) (* 1/3 (/ (pow (- (exp (neg (* -1 (log (/ 1 N))))) 1) 3) (pow N 2)))))) 1) N)
(/.f64 (-.f64 (expm1.f64 (neg.f64 (log.f64 N))) (/.f64 (fma.f64 (neg.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 4 binary64)) N) #s(literal 1/4 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 3 binary64)))) N)) N)) N)
(- (exp (neg (* -1 (log (/ 1 N))))) 1)
(expm1.f64 (neg.f64 (log.f64 N)))
(log (/ 1 N))
(neg.f64 (log.f64 N))
(* -1 (log (/ 1 N)))
(log.f64 N)
(/ 1 N)
(pow.f64 N #s(literal -1 binary64))
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)
(* -1 (pow N 2))
(*.f64 (neg.f64 N) N)
(* (pow N 2) (- (* 1/4 (/ 1 (pow N 2))) 1))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) #s(literal 1 binary64)) N) N)
(* -1 (pow N 3))
(pow.f64 (neg.f64 N) #s(literal 3 binary64))
(* -1 (* (pow N 3) (+ 1 (* 1/2 (/ 1 N)))))
(*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) N) N) N)
(* -1 N)
(neg.f64 N)
(* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))
(-.f64 #s(literal -1/2 binary64) N)
1
#s(literal 1 binary64)
(- 1 (* 1/2 (/ 1 N)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))
(/ 1/3 (pow N 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
(/ (- 1/3 (* 1/4 (/ 1 N))) (pow N 2))
(/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) N)
(/ 1/3 N)
(/.f64 #s(literal 1/3 binary64) N)
(/ (- 1/3 (* 1/4 (/ 1 N))) N)
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
1/3
#s(literal 1/3 binary64)
(- 1/3 (* 1/4 (/ 1 N)))
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ 1 N)) 1)
(-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64))
(+ 1 (* 1/3 (/ 1 (pow N 2))))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64))
(- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (/ 1/4 (pow N 3)))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) N))
(* -1 (/ (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) N))
(/.f64 (expm1.f64 (neg.f64 (log.f64 N))) (neg.f64 N))
(* -1 (/ (- (* -1/2 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2) N)) (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1))) N))
(/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) N) #s(literal 1 binary64)) (neg.f64 N))
(* -1 (/ (- (* -1 (/ (- (+ (* -1/3 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3) N)) (/ 1 N)) (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2))) N)) (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1))) N))
(/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 3 binary64)) #s(literal 1 binary64)) N)) N) (expm1.f64 (neg.f64 (log.f64 N)))) N)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/4 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 4) N)) (+ 1 (* -1/3 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3)))) N)) (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2))) N)) (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1))) N))
(/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 4 binary64)) N) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 N))) N) (expm1.f64 (neg.f64 (log.f64 N)))) N)
(* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64))) (pow.f64 N #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (pow N 3))) 1/3) (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3)))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(/ (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) N)
(/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)
(* -1 (/ (+ (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1)) (* 1/2 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2) N))) N))
(/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) N) #s(literal 1 binary64)) N)
(* -1 (/ (+ (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1)) (* -1 (/ (+ (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2)) (* 1/3 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3) N))) N))) N))
(/.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) N) (*.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) N) (expm1.f64 (neg.f64 (log.f64 N)))) N)
(* -1 (/ (+ (* -1 (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1)) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 3)) (* 1/4 (/ (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 4) N))) N)) (* -1/2 (pow (- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1) 2))) N))) N))
(/.f64 (-.f64 (expm1.f64 (neg.f64 (log.f64 N))) (/.f64 (fma.f64 (neg.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 4 binary64)) N) #s(literal 1/4 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 3 binary64)))) N)) N)) N)
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 N)))))) 1)
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(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))
(+ (log -1) (* -1 (log (/ -1 N))))
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(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) (neg.f64 N))
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(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) #s(literal 1 binary64)) (neg.f64 N))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
(/ -1 (* N (pow (sqrt -1) 2)))
(pow.f64 N #s(literal -1 binary64))
(* -1 (/ (- (/ 1 (pow (sqrt -1) 2)) (* 1/2 (/ 1 (* N (pow (sqrt -1) 2))))) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* N (pow (sqrt -1) 2))))) N)) (/ 1 (pow (sqrt -1) 2))) N))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal 1 binary64)) N)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/3 (/ 1 (pow (sqrt -1) 2))) (* 1/4 (/ 1 (* N (pow (sqrt -1) 2))))) N)) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) N)) (/ 1 (pow (sqrt -1) 2))) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)
(* -1 (* N (pow (sqrt -1) 2)))
N
(* -1 (* (sqrt N) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 N) #s(literal 1 binary64))

rewrite199.0ms (3.4%)

Memory
-4.6MiB live, 163.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054392
087376
1358340
22983334
08976323
Stop Event
iter limit
node limit
iter limit
Counts
44 → 647
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))
(log1p.f64 (pow.f64 N #s(literal -3 binary64)))
(pow.f64 N #s(literal -3 binary64))
N
#s(literal -3 binary64)
(log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))
(/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)
(expm1.f64 (neg.f64 (log.f64 N)))
(neg.f64 (log.f64 N))
(log.f64 N)
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))))
#s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))
(-.f64 #s(literal 1/4 binary64) (*.f64 N N))
#s(literal 1/4 binary64)
(*.f64 N N)
(*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N))
(-.f64 #s(literal -1/2 binary64) N)
#s(literal -1/2 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
(/.f64 (-.f64 (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N)
(-.f64 (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N)
(/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N)
#s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N)
(-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N)
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N)
(+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64))
(/.f64 #s(literal -1/4 binary64) N)
#s(literal -1/4 binary64)
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (*.f64 (sqrt.f64 N) (sqrt.f64 N))))
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (*.f64 (sqrt.f64 N) (sqrt.f64 N)))
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 N) (sqrt.f64 N))
(sqrt.f64 N)
Outputs
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 2 binary64))) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64))))
(/.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 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (sqrt.f64 N))) (log.f64 (sqrt.f64 N)))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))) (log.f64 N))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))))) (log.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 N)))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (+.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)) (log1p.f64 (pow.f64 N #s(literal -3 binary64)))) (pow.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (fma.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(-.f64 (log.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 N #s(literal 1 binary64)) N)))
(-.f64 (log1p.f64 (pow.f64 N #s(literal 3 binary64))) (log.f64 (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) N)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -6 binary64)))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))) (-.f64 (pow.f64 N #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 N)))))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -9 binary64))) (log.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -6 binary64))) (pow.f64 N #s(literal -3 binary64))) (-.f64 (pow.f64 N #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 N)))))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 2 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 (-.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 N))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) N)) (*.f64 N N))))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) N))
(log1p.f64 (pow.f64 N #s(literal -3 binary64)))
(-.f64 (log.f64 (-.f64 (pow.f64 N #s(literal -6 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -6 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal -9 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -6 binary64))) (pow.f64 N #s(literal -3 binary64))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -6 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -9 binary64))) (log.f64 (+.f64 (pow.f64 N #s(literal -6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -9 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -6 binary64)) (pow.f64 N #s(literal -3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 N #s(literal -3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 N #s(literal -3/2 binary64)))))
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3/2 binary64)))) (pow.f64 N #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 N #s(literal 1/4 binary64)) #s(literal -6 binary64)) (pow.f64 (pow.f64 N #s(literal 1/4 binary64)) #s(literal -6 binary64)))
(*.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal -3/2 binary64)) (pow.f64 N #s(literal -3/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3/2 binary64))) (pow.f64 N #s(literal -3/2 binary64)))
(*.f64 (neg.f64 (pow.f64 N #s(literal -3/2 binary64))) (neg.f64 (pow.f64 N #s(literal -3/2 binary64))))
(*.f64 (pow.f64 N #s(literal -3/4 binary64)) (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 N #s(literal -3/2 binary64)) (pow.f64 N #s(literal -3/2 binary64)))
(*.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))
(*.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -3 binary64)))
(*.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -3 binary64)) (log.f64 N))
(pow.f64 (neg.f64 (pow.f64 N #s(literal -3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 N #s(literal -3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -3/4 binary64))
(pow.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 N) #s(literal -6 binary64))
(pow.f64 (*.f64 N N) #s(literal -3/2 binary64))
(pow.f64 N #s(literal -3 binary64))
(/.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3/2 binary64)))
(/.f64 (pow.f64 (-.f64 (pow.f64 (cosh.f64 (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 N)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 N)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sinh.f64 (log.f64 N)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 N)) (sinh.f64 (log.f64 N))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log.f64 N))) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 N)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 N)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 N)) (sinh.f64 (neg.f64 (log.f64 N)))))) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 N #s(literal -6 binary64)))
(fabs.f64 (neg.f64 (pow.f64 N #s(literal -3 binary64))))
(fabs.f64 (pow.f64 N #s(literal -3 binary64)))
(+.f64 (cosh.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 N) #s(literal -3 binary64))) (sinh.f64 (*.f64 (log.f64 N) #s(literal -3 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 N) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 N) #s(literal -3/2 binary64) (*.f64 (log.f64 N) #s(literal -3/2 binary64))))
(exp.f64 (+.f64 (log.f64 (pow.f64 N #s(literal -2 binary64))) (neg.f64 (log.f64 N))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64) (neg.f64 (log.f64 N))))
(exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 N) (log.f64 (pow.f64 N #s(literal -2 binary64)))))
(exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 N) (*.f64 (neg.f64 (log.f64 N)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 N) #s(literal -3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal -3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 N #s(literal -3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 N)) #s(literal -6 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 N)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 N) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 N #s(literal 3/2 binary64))) (pow.f64 N #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 N #s(literal 1/4 binary64)))
(*.f64 (pow.f64 N #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 N #s(literal 3/2 binary64))))
(*.f64 (pow.f64 N #s(literal 1/4 binary64)) (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 N) (sqrt.f64 N))
(*.f64 #s(literal 1 binary64) N)
(*.f64 N #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 N)))
(pow.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 N) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal 1/2 binary64))
(pow.f64 N #s(literal 1 binary64))
(neg.f64 N)
(sqrt.f64 (*.f64 N N))
(fabs.f64 N)
(+.f64 (cosh.f64 (log.f64 N)) (sinh.f64 (log.f64 N)))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 N) #s(literal 1 binary64)))
(exp.f64 (log.f64 N))
N
#s(literal -3 binary64)
(log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N))
(-.f64 (log.f64 (expm1.f64 (*.f64 (-.f64 (log1p.f64 N) (*.f64 #s(literal 2 binary64) (log.f64 N))) #s(literal 2 binary64)))) (log.f64 (-.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))))
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(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 N (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (*.f64 (*.f64 N N) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 N N) (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) (*.f64 (*.f64 N N) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 N N) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64))) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))) (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))))
(-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))) (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N))) (pow.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) (+.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal 2 binary64)))))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64))
(-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N))
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (pow.f64 N #s(literal 3/2 binary64))) (pow.f64 N #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 N #s(literal 1/4 binary64)))
(*.f64 (pow.f64 N #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 N #s(literal 3/2 binary64))))
(*.f64 (pow.f64 N #s(literal 1/4 binary64)) (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 N) (sqrt.f64 N))
(*.f64 #s(literal 1 binary64) N)
(*.f64 N #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 N)))
(pow.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 N) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal 1/2 binary64))
(pow.f64 N #s(literal 1 binary64))
(neg.f64 N)
(sqrt.f64 (*.f64 N N))
(fabs.f64 N)
(+.f64 (cosh.f64 (log.f64 N)) (sinh.f64 (log.f64 N)))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 N) #s(literal 1 binary64)))
(exp.f64 (log.f64 N))
N
(*.f64 (neg.f64 (pow.f64 N #s(literal 1/4 binary64))) (neg.f64 (pow.f64 N #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 N #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 N #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 N) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 N) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 N))
(*.f64 (pow.f64 N #s(literal 1/4 binary64)) (pow.f64 N #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 N) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 N) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 N))
(pow.f64 (pow.f64 N #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 N) #s(literal 1 binary64))
(pow.f64 (*.f64 N N) #s(literal 1/4 binary64))
(pow.f64 N #s(literal 1/2 binary64))
(neg.f64 (sqrt.f64 N))
(sqrt.f64 N)
(fabs.f64 (sqrt.f64 N))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 N))) (sinh.f64 (log.f64 (sqrt.f64 N))))
(exp.f64 (/.f64 (log.f64 N) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 N)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 N)))

eval238.0ms (4%)

Memory
-34.5MiB live, 244.4MiB allocated
Compiler

Compiled 39 895 to 5 422 computations (86.4% saved)

prune58.0ms (1%)

Memory
13.5MiB live, 72.2MiB allocated
Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New1 25771 264
Fresh3811
Picked505
Done077
Total1 265221 287
Accuracy
100.0%
Counts
1 287 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N))))
99.2%
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.6%
(log1p.f64 (/.f64 N (*.f64 N N)))
99.9%
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
25.6%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
95.8%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
94.7%
#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))
95.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (*.f64 (sqrt.f64 N) (sqrt.f64 N))))
95.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
92.3%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
95.2%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (*.f64 (sqrt.f64 N) (sqrt.f64 N))))
95.8%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
95.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) (*.f64 N (neg.f64 N))))
95.5%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) N) (*.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N)))
94.7%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) N)) N))
85.1%
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
95.7%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) N) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)))
95.7%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
95.7%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
94.6%
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
92.1%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
92.6%
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 #s(approx (- 1/4 (* N N)) (*.f64 (neg.f64 N) N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))))
Compiler

Compiled 1 281 to 545 computations (57.5% saved)

regimes61.0ms (1%)

Memory
-21.7MiB live, 22.7MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 #s(approx (- 1/4 (* N N)) (*.f64 (neg.f64 N) N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) (*.f64 N (neg.f64 N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) N) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) N) (*.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (*.f64 (sqrt.f64 N) (sqrt.f64 N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (*.f64 (sqrt.f64 N) (sqrt.f64 N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (*.f64 (sqrt.f64 N) (sqrt.f64 N))))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(log1p.f64 (/.f64 N (*.f64 N N)))
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
(log1p.f64 (pow.f64 (*.f64 N N) #s(literal -1/2 binary64)))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(log1p.f64 (exp.f64 (neg.f64 (log.f64 N))))
(log1p.f64 (pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 N #s(literal -3 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 N))) N)))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
Calls

2 calls:

9.0ms
N
7.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
99.9%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
99.9%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes14.0ms (0.2%)

Memory
17.4MiB live, 17.4MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 #s(approx (- 1/4 (* N N)) (*.f64 (neg.f64 N) N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) (neg.f64 N)) N) (*.f64 N (neg.f64 N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64))) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) N) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) N) (*.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (*.f64 (sqrt.f64 N) (sqrt.f64 N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) N)) (*.f64 (sqrt.f64 N) (sqrt.f64 N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) (*.f64 (sqrt.f64 N) (sqrt.f64 N))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
Calls

2 calls:

7.0ms
N
5.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
95.8%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
95.8%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 #s(approx (- 1/4 (* N N)) (*.f64 (neg.f64 N) N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(approx (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) (/.f64 #s(literal -1/4 binary64) (*.f64 N N))) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) N) (*.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 N) N) N)))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 #s(approx (- (/ (/ (+ (/ -1/4 N) 1/3) N) N) -1) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) N)) N))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) N) (/.f64 #s(literal -1 binary64) N)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (/.f64 #s(approx (+ (/ -1/4 N) 1/3) #s(literal 1/3 binary64)) N) N) (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))) N))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
Calls

2 calls:

4.0ms
N
3.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
94.7%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
94.7%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 #s(approx (- 1/4 (* N N)) (*.f64 (neg.f64 N) N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 N N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 #s(literal -1 binary64) N)))
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 #s(approx (- 1/4 (* N N)) (*.f64 (neg.f64 N) N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))))
Calls

2 calls:

2.0ms
N
2.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
92.6%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
92.6%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
Outputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
Calls

2 calls:

1.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
92.3%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
92.3%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes12.0ms (0.2%)

Memory
-41.7MiB live, 5.3MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
Outputs
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
Calls

2 calls:

11.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
1.0ms
N
Results
AccuracySegmentsBranch
92.1%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
92.1%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
N
1.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
85.1%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
85.1%1N
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify14.0ms (0.2%)

Memory
7.9MiB live, 7.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051129
175129
2108129
3145129
4177129
5193129
6208129
7216129
Stop Event
saturated
Calls
Call 1
Inputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) 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)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 #s(approx (- 1/4 (* N N)) (*.f64 (neg.f64 N) N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
Outputs
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(log1p.f64 (pow.f64 N #s(literal -1 binary64)))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 #s(approx (- 1/4 (* N N)) (*.f64 (neg.f64 N) N)) (*.f64 (-.f64 #s(literal -1/2 binary64) N) (*.f64 N N)))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
#s(approx (- (log (+ N 1)) (log N)) #s(approx (/ (- (/ -1/2 N) -1) N) (/.f64 (+.f64 #s(literal -1/2 binary64) N) (*.f64 N N))))
#s(approx (- (log (+ N 1)) (log N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (log (+ N 1)) (log N)) (pow.f64 N #s(literal -1 binary64)))

soundness1.2s (19.7%)

Memory
-1.9MiB live, 620.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111506
1313472
2872442
32996442
08533429
040229
063220
1264208
22067208
08140208
0618
01017
14117
225417
3234217
0841913
088259
1254233
2628233
31729230
45360227
08305221
033198
052194
1208194
21430194
08340190
03571560
111091396
237501284
093331184
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 195 to 110 computations (43.6% saved)

preprocess89.0ms (1.5%)

Memory
38.0MiB live, 86.4MiB allocated
Compiler

Compiled 326 to 156 computations (52.1% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

Profiling

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