2log (problem 3.3.6)

Time bar (total: 11.2s)

analyze0.0ms (0%)

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

Compiled 15 to 10 computations (33.3% saved)

sample1.6s (14.6%)

Memory
33.6MiB live, 1 478.2MiB allocated
Samples
1.3s7 078×1valid
73.0ms1 178×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival->: 387.0ms (35.9% of total)
ival-log1p: 277.0ms (25.7% of total)
ival-log: 220.0ms (20.4% of total)
adjust: 82.0ms (7.6% of total)
ival-sub: 72.0ms (6.7% of total)
ival-<: 16.0ms (1.5% of total)
ival-and: 11.0ms (1% of total)
...in/eval/compile.rkt:110:19: 9.0ms (0.8% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

preprocess28.0ms (0.2%)

Memory
-5.9MiB live, 32.6MiB allocated
Algorithm
egg-herbie
Rules
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
74×sub-neg
48×*-lowering-*.f32
48×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
12524
25123
39023
414523
521423
626823
729923
834223
935723
1036523
067
1117
2157
3217
4297
5447
6767
71017
81437
91587
101667
01665
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- (log (+ N 1)) (log N))
Outputs
(- (log (+ N 1)) (log N))
(-.f64 (log1p.f64 N) (log.f64 N))
Call 2
Inputs
(- (log (+ N 1)) (log N))
(- (log (+ (neg N) 1)) (log (neg N)))
(neg (- (log (+ (neg N) 1)) (log (neg N))))
Outputs
(- (log (+ N 1)) (log N))
(- (log (+ (neg N) 1)) (log (neg N)))
(- (log (- 1 N)) (log (neg N)))
(neg (- (log (+ (neg N) 1)) (log (neg N))))
(- (log (neg N)) (log (- 1 N)))

explain138.0ms (1.2%)

Memory
19.1MiB live, 178.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2512(353.96096460242586)0-(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
00-0-N
00-0-(log.f64 N)
00-0-(+.f64 N #s(literal 1 binary64))
00-0-(log.f64 (+.f64 N #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))cancellation2531
Confusion
Predicted +Predicted -
+2510
-23
Precision
0.9920948616600791
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25100
-212
Precision?
0.9881889763779528
Recall?
1.0
Freqs
test
numberfreq
03
1253
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
80.0ms444×1valid
4.0ms68×0valid
Compiler

Compiled 56 to 28 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-sub: 29.0ms (43.4% of total)
ival-log: 14.0ms (21% of total)
ival-log1p: 14.0ms (21% of total)
adjust: 6.0ms (9% of total)
ival-add: 2.0ms (3% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.3%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify10.0ms (0.1%)

Memory
-26.2MiB live, 12.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 N)
cost-diff0
(+.f64 N #s(literal 1 binary64))
cost-diff0
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
cost-diff128
(log.f64 (+.f64 N #s(literal 1 binary64)))
Rules
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
48×*-lowering-*.f32
48×*-lowering-*.f64
36×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
11118
21518
32118
42918
54418
67618
710118
814318
915818
1016618
016614
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (log (+ N 1)) (log N))
(log (+ N 1))
(+ N 1)
N
1
(log N)
Outputs
(- (log (+ N 1)) (log N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log (+ N 1))
(log1p.f64 N)
(+ N 1)
(+.f64 N #s(literal 1 binary64))
N
1
#s(literal 1 binary64)
(log N)
(log.f64 N)

localize42.0ms (0.4%)

Memory
23.0MiB live, 62.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 N #s(literal 1 binary64))
accuracy100.0%
(log.f64 N)
accuracy100.0%
(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy23.3%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Samples
31.0ms222×1valid
2.0ms34×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-log1p: 8.0ms (38.3% of total)
ival-log: 6.0ms (28.8% of total)
adjust: 3.0ms (14.4% of total)
ival-sub: 2.0ms (9.6% of total)
ival-add: 1.0ms (4.8% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series54.0ms (0.5%)

Memory
-6.4MiB live, 103.9MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (log (+ N 1))>
#<alt (- (log (+ N 1)) (log N))>
#<alt (+ N 1)>
#<alt (log N)>
Outputs
#<alt N>
#<alt (* N (+ 1 (* -1/2 N)))>
#<alt (* N (+ 1 (* N (- (* 1/3 N) 1/2))))>
#<alt (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (+ (* -1 (log (/ 1 N))) (/ 1 N))>
#<alt (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))>
#<alt (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (log N)>
#<alt (log N)>
#<alt (log N)>
#<alt (log N)>
#<alt (* -1 (log (/ 1 N)))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
Calls

12 calls:

TimeVariablePointExpression
27.0ms
N
@0
(log N)
18.0ms
N
@-inf
(log N)
6.0ms
N
@inf
(log N)
0.0ms
N
@0
(log (+ N 1))
0.0ms
N
@-inf
(- (log (+ N 1)) (log N))

rewrite459.0ms (4.1%)

Memory
27.3MiB live, 544.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 976×/-lowering-/.f32
4 976×/-lowering-/.f64
3 238×*-lowering-*.f32
3 238×*-lowering-*.f64
2 654×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
13815
226515
3262515
0884312
Stop Event
iter limit
node limit
Counts
4 → 425
Calls
Call 1
Inputs
(log (+ N 1))
(- (log (+ N 1)) (log N))
(+ N 1)
(log N)
Outputs
(log.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 (log1p.f64 N) #s(literal 0 binary64))
(+.f64 (log1p.f64 N) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))))
(+.f64 (log1p.f64 N) (log.f64 (*.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))))
(+.f64 #s(literal 0 binary64) (log1p.f64 N))
(+.f64 (log1p.f64 (*.f64 N (*.f64 N N))) (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))))))
(+.f64 (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 N (*.f64 N N)) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 N N) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))))) (log1p.f64 (*.f64 N (*.f64 N N))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))) (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64))))
(+.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) (+.f64 (*.f64 N N) #s(literal -1 binary64)))) (log1p.f64 N))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (log1p.f64 N))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) (*.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))))) (log.f64 (+.f64 (*.f64 N (*.f64 N (*.f64 N N))) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N))))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))) (+.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)))) (log.f64 (+.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)))
(+.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) (+.f64 (*.f64 N (*.f64 N N)) #s(literal -1 binary64)))) (log1p.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) (log1p.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(exp.f64 (log.f64 (log1p.f64 N)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 N)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))))
(-.f64 (log1p.f64 (*.f64 N (*.f64 N N))) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 N (*.f64 N N)) #s(literal -1 binary64)))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 N N) #s(literal -1 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) N)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (log.f64 (-.f64 #s(literal 1 binary64) N)))
(-.f64 (log1p.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))) (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))))))
(-.f64 (log.f64 (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal -1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))) (+.f64 (*.f64 N (*.f64 N N)) #s(literal -1 binary64)))))
(-.f64 (log.f64 (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal -1 binary64))) (log.f64 (*.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 (*.f64 N (*.f64 N (*.f64 N N))) (+.f64 #s(literal 1 binary64) (*.f64 N N))))))
(-.f64 (log.f64 (+.f64 (*.f64 N (*.f64 N (*.f64 N N))) #s(literal -1 binary64))) (log.f64 (*.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 N N)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))))))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (*.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
(-.f64 (log.f64 (*.f64 (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal -1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
(-.f64 (log.f64 (*.f64 (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal -1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 (*.f64 N (*.f64 N (*.f64 N N))) (+.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N (*.f64 N (*.f64 N N))) #s(literal -1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) #s(literal 1 binary64))) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 N (*.f64 N N)) #s(literal -1 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 N N) #s(literal -1 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (-.f64 (*.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))))) (log.f64 (+.f64 (*.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))))))
(-.f64 (log.f64 (-.f64 (*.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))))) (log.f64 (+.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))))) (log.f64 (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))))
(-.f64 (log.f64 (*.f64 (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))))) (log.f64 (+.f64 (*.f64 N (*.f64 N N)) #s(literal -1 binary64))))
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(-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N (*.f64 N (*.f64 N N))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) (log1p.f64 (*.f64 N N)))
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(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))))) (neg.f64 (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))))) (neg.f64 (+.f64 (*.f64 N (*.f64 N N)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) (neg.f64 (+.f64 (*.f64 N (*.f64 N (*.f64 N N))) (+.f64 #s(literal 1 binary64) (*.f64 N N)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 N (*.f64 N (*.f64 N N))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(*.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 N #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))))
(*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 N (*.f64 N N)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 N N) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (+.f64 (*.f64 N N) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) (+.f64 (*.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 N #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) (*.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))))) (+.f64 (*.f64 N (*.f64 N (*.f64 N N))) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))) (+.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N))) (+.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N))
(*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) (+.f64 (*.f64 N (*.f64 N N)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (*.f64 N (*.f64 N N))) (+.f64 #s(literal 1 binary64) (*.f64 N N)))))
(*.f64 (pow.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 (*.f64 N (*.f64 N (*.f64 N N))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N N))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))) (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (*.f64 N N)) #s(literal -1 binary64))))
(log.f64 N)
(+.f64 (log.f64 N) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 N))
(exp.f64 (log.f64 (log.f64 N)))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) #s(literal 1 binary64)))
(pow.f64 (log.f64 N) #s(literal 1 binary64))

simplify346.0ms (3.1%)

Memory
-3.8MiB live, 560.4MiB allocated
Algorithm
egg-herbie
Rules
11 472×accelerator-lowering-fma.f32
11 472×accelerator-lowering-fma.f64
2 762×*-lowering-*.f32
2 762×*-lowering-*.f64
2 058×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088348
1250302
2588301
31587295
44201287
56272287
67327287
08056278
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
N
(* N (+ 1 (* -1/2 N)))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(* -1 (log (/ 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)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
(* -1 (log N))
(- N (log N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (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 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 N)
(+ 1 N)
(+ 1 N)
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(log N)
(log N)
(log N)
(log N)
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
(* -1 (log (/ 1 N)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (* -1 (log (/ -1 N))))
Outputs
N
(* N (+ 1 (* -1/2 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal -1/2 binary64))))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal -1/2 binary64) (*.f64 N #s(literal 1/3 binary64))))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal -1/2 binary64) (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N #s(literal -1/4 binary64))))))))
(* -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 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N) (log.f64 N))
(- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(+.f64 (log.f64 N) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N))
(+ (log -1) (* -1 (log (/ -1 N))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) N)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))
(+.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) N)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) N)) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)))
(* -1 (log N))
(-.f64 #s(literal 0 binary64) (log.f64 N))
(- N (log N))
(-.f64 N (log.f64 N))
(- (* N (+ 1 (* -1/2 N))) (log N))
(-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal -1/2 binary64)))) (log.f64 N))
(- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))
(-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal -1/2 binary64) (*.f64 N #s(literal 1/3 binary64)))))) (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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) 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 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
N
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
N
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(log N)
(log.f64 N)
(log N)
(log.f64 N)
(log N)
(log.f64 N)
(log N)
(log.f64 N)
(* -1 (log (/ 1 N)))
(log.f64 N)
(* -1 (log (/ 1 N)))
(log.f64 N)
(* -1 (log (/ 1 N)))
(log.f64 N)
(* -1 (log (/ 1 N)))
(log.f64 N)
(+ (log -1) (* -1 (log (/ -1 N))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) N)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) N)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) N)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) N)))

eval60.0ms (0.5%)

Memory
-11.5MiB live, 143.9MiB allocated
Compiler

Compiled 14 636 to 1 564 computations (89.3% saved)

prune72.0ms (0.6%)

Memory
-1.0MiB live, 165.9MiB allocated
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New45716473
Fresh000
Picked011
Done000
Total45717474
Accuracy
99.6%
Counts
474 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.1%
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal 2 binary64)))
94.0%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
23.4%
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 N)) (*.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)))
98.0%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
97.0%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
85.1%
(/.f64 #s(literal 1 binary64) N)
23.3%
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))))
23.2%
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
23.2%
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
23.2%
(-.f64 (log1p.f64 N) (log.f64 N))
23.3%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
26.2%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
26.7%
(*.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
26.2%
(neg.f64 (log.f64 (/.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))) (+.f64 (*.f64 N N) #s(literal -1 binary64)))))
26.7%
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
26.2%
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
26.2%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
Compiler

Compiled 792 to 378 computations (52.3% saved)

simplify295.0ms (2.6%)

Memory
-6.8MiB live, 308.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 N)
cost-diff0
(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
cost-diff0
(/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
cost-diff0
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
cost-diff0
(log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
cost-diff128
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
cost-diff13696
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
cost-diff-64
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
cost-diff0
(+.f64 N #s(literal 1 binary64))
cost-diff0
(/.f64 N (+.f64 N #s(literal 1 binary64)))
cost-diff0
(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) N)
cost-diff0
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))
cost-diff0
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
Rules
4 830×accelerator-lowering-fma.f32
4 830×accelerator-lowering-fma.f64
2 656×*-lowering-*.f32
2 656×*-lowering-*.f64
1 634×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038352
179348
2140320
3270320
4581320
51082320
62291320
74316320
87089320
08224281
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) N)
(+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))
1
(/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)
(- -1/2 (/ (+ (/ 1/4 N) -1/3) N))
-1/2
(/ (+ (/ 1/4 N) -1/3) N)
(+ (/ 1/4 N) -1/3)
(/ 1/4 N)
1/4
N
-1/3
(/ 1 N)
1
N
(neg (log (/ N (+ N 1))))
(log (/ N (+ N 1)))
(/ N (+ N 1))
N
(+ N 1)
1
(* (/ 1 (log (* N (+ N 1)))) (* (log (/ (+ N 1) N)) (log (* N (+ N 1)))))
(/ 1 (log (* N (+ N 1))))
1
(log (* N (+ N 1)))
(* N (+ N 1))
N
(+ N 1)
(* (log (/ (+ N 1) N)) (log (* N (+ N 1))))
(log (/ (+ N 1) N))
(/ (+ N 1) N)
(- (/ (pow (log (+ 1 N)) 4) (* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2)))) (/ (pow (log N) 4) (* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2)))))
(/ (pow (log (+ 1 N)) 4) (* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2))))
(pow (log (+ 1 N)) 4)
(log (+ 1 N))
N
4
(* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2)))
(log (* N (+ N 1)))
(* N (+ N 1))
(+ N 1)
1
(+ (pow (log (+ 1 N)) 2) (pow (log N) 2))
(pow (log (+ 1 N)) 2)
2
(pow (log N) 2)
(log N)
(/ (pow (log N) 4) (* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2))))
(pow (log N) 4)
Outputs
(/ (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))
1
#s(literal 1 binary64)
(/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
(- -1/2 (/ (+ (/ 1/4 N) -1/3) N))
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))
-1/2
#s(literal -1/2 binary64)
(/ (+ (/ 1/4 N) -1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(+ (/ 1/4 N) -1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(/ 1/4 N)
(/.f64 #s(literal 1/4 binary64) N)
1/4
#s(literal 1/4 binary64)
N
-1/3
#s(literal -1/3 binary64)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
N
(neg (log (/ N (+ N 1))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(log (/ N (+ N 1)))
(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
(/ N (+ N 1))
(/.f64 N (+.f64 #s(literal 1 binary64) N))
N
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
(* (/ 1 (log (* N (+ N 1)))) (* (log (/ (+ N 1) N)) (log (* N (+ N 1)))))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/ 1 (log (* N (+ N 1))))
(/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
1
#s(literal 1 binary64)
(log (* N (+ N 1)))
(log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(* N (+ N 1))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
N
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
(* (log (/ (+ N 1) N)) (log (* N (+ N 1))))
(*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log1p.f64 (/.f64 #s(literal 1 binary64) N)))
(log (/ (+ N 1) N))
(log1p.f64 (/.f64 #s(literal 1 binary64) N))
(/ (+ N 1) N)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(- (/ (pow (log (+ 1 N)) 4) (* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2)))) (/ (pow (log N) 4) (* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/ (pow (log (+ 1 N)) 4) (* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2))))
(/.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(pow (log (+ 1 N)) 4)
(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
(log (+ 1 N))
(log1p.f64 N)
N
4
#s(literal 4 binary64)
(* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2)))
(*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(log (* N (+ N 1)))
(log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(* N (+ N 1))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
(+ (pow (log (+ 1 N)) 2) (pow (log N) 2))
(+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(pow (log (+ 1 N)) 2)
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(log N)
(log.f64 N)
(/ (pow (log N) 4) (* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2))))
(/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(pow (log N) 4)
(pow.f64 (log.f64 N) #s(literal 4 binary64))

localize322.0ms (2.9%)

Memory
-13.4MiB live, 309.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy98.5%
(pow.f64 (log.f64 N) #s(literal 4 binary64))
accuracy98.5%
(pow.f64 (log1p.f64 N) #s(literal 4 binary64))
accuracy24.7%
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
accuracy99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
accuracy99.3%
(*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
accuracy26.2%
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
accuracy100.0%
(+.f64 N #s(literal 1 binary64))
accuracy100.0%
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
accuracy100.0%
(/.f64 N (+.f64 N #s(literal 1 binary64)))
accuracy26.9%
(log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) N)
accuracy99.9%
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
accuracy99.8%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
accuracy99.8%
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
accuracy99.4%
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
Samples
174.0ms216×1valid
22.0ms40×0valid
Compiler

Compiled 316 to 39 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 154.0ms
ival-log: 32.0ms (20.8% of total)
...in/eval/compile.rkt:111:19: 31.0ms (20.1% of total)
ival-div: 29.0ms (18.8% of total)
ival-pow: 11.0ms (7.1% of total)
ival-mult: 10.0ms (6.5% of total)
adjust: 9.0ms (5.8% of total)
ival-pow2: 9.0ms (5.8% of total)
ival-add: 9.0ms (5.8% of total)
ival-log1p: 7.0ms (4.5% of total)
ival-sub: 4.0ms (2.6% of total)
ival-neg: 2.0ms (1.3% of total)
...in/eval/compile.rkt:110:19: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series49.0ms (0.4%)

Memory
7.4MiB live, 89.3MiB allocated
Counts
22 → 264
Calls
Call 1
Inputs
#<alt (/ (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) N)>
#<alt (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))>
#<alt (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)>
#<alt (- -1/2 (/ (+ (/ 1/4 N) -1/3) N))>
#<alt (/ 1 N)>
#<alt (log (/ N (+ N 1)))>
#<alt (/ N (+ N 1))>
#<alt (+ N 1)>
#<alt (neg (log (/ N (+ N 1))))>
#<alt (* (/ 1 (log (* N (+ N 1)))) (* (log (/ (+ N 1) N)) (log (* N (+ N 1)))))>
#<alt (log (/ (+ N 1) N))>
#<alt (/ 1 (log (* N (+ N 1))))>
#<alt (log (* N (+ N 1)))>
#<alt (- (/ (pow (log (+ 1 N)) 4) (* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2)))) (/ (pow (log N) 4) (* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2)))))>
#<alt (/ (pow (log (+ 1 N)) 4) (* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2))))>
#<alt (pow (log (+ 1 N)) 4)>
#<alt (log (+ 1 N))>
#<alt (/ (+ (/ 1/4 N) -1/3) N)>
#<alt (+ (/ 1/4 N) -1/3)>
#<alt (* (log (/ (+ N 1) N)) (log (* N (+ N 1))))>
#<alt (pow (log N) 4)>
#<alt (pow (log (+ 1 N)) 2)>
Outputs
#<alt (/ -1/4 (pow N 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ -1/2 N)>
#<alt (/ (- (* 1/3 (/ 1 N)) 1/2) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ -1/2 N)>
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (/ -1/4 (pow N 2))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 2))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 2))>
#<alt -1/2>
#<alt (- (* 1/3 (/ 1 N)) 1/2)>
#<alt (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))>
#<alt (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2))))>
#<alt -1/2>
#<alt (- (* 1/3 (/ 1 N)) 1/2)>
#<alt (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)>
#<alt (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (log N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* 1/2 N) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))>
#<alt (/ -1 N)>
#<alt (/ (- (* 1/2 (/ 1 N)) 1) N)>
#<alt (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ -1 N)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))>
#<alt N>
#<alt (* N (+ 1 (* -1 N)))>
#<alt (* N (+ 1 (* N (- N 1))))>
#<alt (* N (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 N))>
#<alt (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))>
#<alt (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3))))>
#<alt 1>
#<alt (- 1 (/ 1 N))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N)))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* -1 (log N))>
#<alt (- N (log N))>
#<alt (- (* N (+ 1 (* -1/2 N))) (log N))>
#<alt (- (* N (+ 1 (* N (- (* 1/3 N) 1/2)))) (log N))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
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#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (/ (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* -1/4 (/ (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))) (- (/ (log -1) (log (/ -1 N))) (+ 1 (* 1/16 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (log (/ -1 N)) 2)))))) (* (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/16 (/ (+ (* -2 (* (log (/ -1 N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 2 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (log (/ -1 N)) 2))))) N)) (/ (log -1) (log (/ -1 N)))) (+ 1 (* 1/16 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (log (/ -1 N)) 2))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (/ (+ (* -4 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 2 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* -1/4 (/ (* (+ (* -2 (* (log (/ -1 N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 2 (+ (log -1) (* -1 (log (/ -1 N))))))) (- (/ (log -1) (log (/ -1 N))) (+ 1 (* 1/16 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (log (/ -1 N)) 2)))))) (* (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* -1/4 (/ (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))) (- (* -1/4 (/ (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* -1/4 (/ (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))) (- (/ (log -1) (log (/ -1 N))) (+ 1 (* 1/16 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (log (/ -1 N)) 2)))))) (* (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/16 (/ (+ (* -2 (* (log (/ -1 N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 2 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (log (/ -1 N)) 2)))))) (* (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/16 (/ (+ (log -1) (+ (* -2 (* (log (/ -1 N)) (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (* -2/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (pow (log (/ -1 N)) 2)))))) N)) (* -1/4 (/ (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (* -1/4 (/ (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))) (- (/ (log -1) (log (/ -1 N))) (+ 1 (* 1/16 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (log (/ -1 N)) 2)))))) (* (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/16 (/ (+ (* -2 (* (log (/ -1 N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 2 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (log (/ -1 N)) 2))))) N)) (/ (log -1) (log (/ -1 N)))) (+ 1 (* 1/16 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (log (/ -1 N)) 2))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (pow N 4)>
#<alt (* (pow N 4) (+ 1 (* -2 N)))>
#<alt (* (pow N 4) (+ 1 (* N (- (* 17/6 N) 2))))>
#<alt (* (pow N 4) (+ 1 (* N (- (* N (+ 17/6 (* -7/2 N))) 2))))>
#<alt (pow (log (/ 1 N)) 4)>
#<alt (+ (* -4 (/ (pow (log (/ 1 N)) 3) N)) (pow (log (/ 1 N)) 4))>
#<alt (+ (* -4 (/ (pow (log (/ 1 N)) 3) N)) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* 4 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (pow (log (/ 1 N)) 4))))>
#<alt (+ (* -4 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 3))) (+ (* -4 (/ (pow (log (/ 1 N)) 3) N)) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 3))) (+ (* 4 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (pow (log (/ 1 N)) 4))))))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)>
#<alt (+ (* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))>
#<alt (+ (* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -1 (/ (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))>
#<alt (+ (* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 2 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))>
#<alt N>
#<alt (* N (+ 1 (* -1/2 N)))>
#<alt (* N (+ 1 (* N (- (* 1/3 N) 1/2))))>
#<alt (* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (+ (* -1 (log (/ 1 N))) (/ 1 N))>
#<alt (- (+ (* -1 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))>
#<alt (- (+ (* -1 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))>
#<alt (/ 1/4 (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ -1/3 N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ -1/3 N)>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (/ 1/4 N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (* -1 (pow (log N) 2))>
#<alt (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (* -1 (log N)))))>
#<alt (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (+ (* -1 (log N)) (* N (+ 1 (+ (* -1/2 (log N)) (* 1/2 (log N)))))))))>
#<alt (+ (* -1 (pow (log N) 2)) (* N (+ (log N) (+ (* -1 (log N)) (* N (+ 1 (+ (* -1/2 (log N)) (+ (* 1/2 (log N)) (* N (- (+ (* -1/3 (log N)) (* 1/3 (log N))) 1))))))))))>
#<alt (* -2 (/ (log (/ 1 N)) N))>
#<alt (/ (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (/ (log (/ 1 N)) N))) N)>
#<alt (/ (- (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N)))) (/ 1 (pow N 2))) N)>
#<alt (/ (- (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 N) (+ (* 11/12 (/ 1 (pow N 3))) (/ (log (/ 1 N)) N)))))) (/ 1 (pow N 2))) N)>
#<alt (* -2 (/ (log (/ -1 N)) N))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 (log (/ -1 N))) N)) (* 2 (log (/ -1 N)))) N))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 (+ (log (/ -1 N)) (* -1 (/ (+ 1 (* 2/3 (log (/ -1 N)))) N)))) N)) (* 2 (log (/ -1 N)))) N))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 (+ (log (/ -1 N)) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* 1/2 (log (/ -1 N)))) N)) (* 2/3 (log (/ -1 N))))) N)))) N)) (* 2 (log (/ -1 N)))) N))>
#<alt (pow (log N) 4)>
#<alt (pow (log N) 4)>
#<alt (pow (log N) 4)>
#<alt (pow (log N) 4)>
#<alt (pow (log (/ 1 N)) 4)>
#<alt (pow (log (/ 1 N)) 4)>
#<alt (pow (log (/ 1 N)) 4)>
#<alt (pow (log (/ 1 N)) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (* -1 N)))>
#<alt (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))>
#<alt (* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))>
#<alt (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
Calls

66 calls:

TimeVariablePointExpression
14.0ms
N
@-inf
(- (/ (pow (log (+ 1 N)) 4) (* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2)))) (/ (pow (log N) 4) (* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2)))))
9.0ms
N
@inf
(- (/ (pow (log (+ 1 N)) 4) (* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2)))) (/ (pow (log N) 4) (* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2)))))
1.0ms
N
@inf
(/ (pow (log (+ 1 N)) 4) (* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2))))
1.0ms
N
@0
(/ (pow (log (+ 1 N)) 4) (* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2))))
1.0ms
N
@0
(- (/ (pow (log (+ 1 N)) 4) (* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2)))) (/ (pow (log N) 4) (* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2)))))

rewrite522.0ms (4.7%)

Memory
35.9MiB live, 822.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 486×/-lowering-/.f32
4 486×/-lowering-/.f64
3 410×*-lowering-*.f32
3 410×*-lowering-*.f64
3 332×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038173
1245171
22304171
08755151
Stop Event
iter limit
node limit
Counts
22 → 1 322
Calls
Call 1
Inputs
(/ (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)) N)
(+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))
(/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)
(- -1/2 (/ (+ (/ 1/4 N) -1/3) N))
(/ 1 N)
(log (/ N (+ N 1)))
(/ N (+ N 1))
(+ N 1)
(neg (log (/ N (+ N 1))))
(* (/ 1 (log (* N (+ N 1)))) (* (log (/ (+ N 1) N)) (log (* N (+ N 1)))))
(log (/ (+ N 1) N))
(/ 1 (log (* N (+ N 1))))
(log (* N (+ N 1)))
(- (/ (pow (log (+ 1 N)) 4) (* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2)))) (/ (pow (log N) 4) (* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2)))))
(/ (pow (log (+ 1 N)) 4) (* (log (* N (+ N 1))) (+ (pow (log (+ 1 N)) 2) (pow (log N) 2))))
(pow (log (+ 1 N)) 4)
(log (+ 1 N))
(/ (+ (/ 1/4 N) -1/3) N)
(+ (/ 1/4 N) -1/3)
(* (log (/ (+ N 1) N)) (log (* N (+ N 1))))
(pow (log N) 4)
(pow (log (+ 1 N)) 2)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) N)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) (-.f64 #s(literal 0 binary64) N)))
(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) N) N) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64)) N))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))) N) (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))) N))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) N))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) (-.f64 #s(literal 0 binary64) N)))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))) N))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))) #s(literal 1 binary64))))
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
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(+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
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(+.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 N)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log1p.f64 N)))
(+.f64 (*.f64 (log.f64 N) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (*.f64 (log1p.f64 N) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
(-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))))
(fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 N) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log1p.f64 N)))
(fma.f64 (log1p.f64 N) (log1p.f64 N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(fma.f64 (log1p.f64 N) (log1p.f64 N) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) (log.f64 N)))
(fma.f64 (log.f64 N) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (*.f64 (log1p.f64 N) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
(neg.f64 (*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(neg.f64 (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 N) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) (log.f64 N)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) (log.f64 N)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) (log.f64 N))) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) (log.f64 N))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 N)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log1p.f64 N)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 N)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 N))) (-.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log1p.f64 N)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log1p.f64 N))) (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log.f64 N)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (log1p.f64 N))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 N) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (log.f64 N) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (*.f64 (log.f64 N) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) (-.f64 (*.f64 (*.f64 (log1p.f64 N) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (*.f64 (log1p.f64 N) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))) (*.f64 (*.f64 (log.f64 N) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (*.f64 (log1p.f64 N) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))))))
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
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(*.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(*.f64 (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(*.f64 (*.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (log.f64 N))))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 N))) (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 N)))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 N))) #s(literal 2 binary64)))
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (log.f64 N)))
(*.f64 (log.f64 N) (pow.f64 (log.f64 N) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (log.f64 N))
(*.f64 (pow.f64 (pow.f64 (log.f64 N) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 1/2 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))) #s(literal 1 binary64)))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log1p.f64 N)))
(*.f64 (log1p.f64 N) (log1p.f64 N))

simplify516.0ms (4.6%)

Memory
9.0MiB live, 833.4MiB allocated
Algorithm
egg-herbie
Rules
8 682×accelerator-lowering-fma.f32
8 682×accelerator-lowering-fma.f64
6 682×+-lowering-+.f64
6 682×+-lowering-+.f32
5 056×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088110198
129009245
082498904
Stop Event
iter limit
node limit
Counts
264 → 264
Calls
Call 1
Inputs
(/ -1/4 (pow N 4))
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(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
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(/ -1/4 (pow N 3))
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(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
1
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1
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(- (+ (* -1/4 (log (/ 1 N))) (+ (* -1/4 (/ (+ (* -4 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* 2 (* (pow (log (/ 1 N)) 2) (- (* -2/3 (log (/ 1 N))) 1)))) (* (pow N 3) (pow (log (/ 1 N)) 3)))) (+ (* -1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (* (pow N 2) (pow (log (/ 1 N)) 3)))) (/ 1 N)))) (+ (* -1/4 (/ (* (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1 (pow (log (/ 1 N)) 2)))) (- 1 (* 1/16 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))))) (* (pow N 3) (pow (log (/ 1 N)) 3)))) (+ (* -1/4 (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (- 1 (* 1/16 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))))) (* (pow N 2) (pow (log (/ 1 N)) 3)))) (+ (* -1/4 (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (- (* -1/4 (/ (+ (* 2 (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N))))) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 3))) (+ (* -1/4 (/ (* (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (- 1 (* 1/16 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (pow (log (/ 1 N)) 2))))) (pow (log (/ 1 N)) 3))) (* 1/16 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1 (pow (log (/ 1 N)) 2)))) (pow (log (/ 1 N)) 2)))))) (* (pow N 3) (pow (log (/ 1 N)) 3)))) (+ (* 1/16 (/ (+ 1 (+ (* -2 (* (log (/ 1 N)) (- (* -2/3 (log (/ 1 N))) 1))) (+ (* 2/3 (pow (log (/ 1 N)) 2)) (* 2 (log (/ 1 N)))))) (* (pow N 3) (pow (log (/ 1 N)) 2)))) (+ (* 1/16 (/ (+ (* -2 (log (/ 1 N))) (+ (* -2 (* (log (/ 1 N)) (+ 1 (log (/ 1 N))))) (* -1 (pow (log (/ 1 N)) 2)))) (* (pow N 2) (pow (log (/ 1 N)) 2)))) (* 1/16 (/ (+ (* 2 (pow (log (/ 1 N)) 2)) (* 4 (pow (log (/ 1 N)) 2))) (* N (pow (log (/ 1 N)) 2))))))))))
(* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))
(+ (* -1 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* 1/16 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (log (/ -1 N)) 2))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (/ (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* -1/4 (/ (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))) (- (/ (log -1) (log (/ -1 N))) (+ 1 (* 1/16 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (log (/ -1 N)) 2)))))) (* (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/16 (/ (+ (* -2 (* (log (/ -1 N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 2 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (log (/ -1 N)) 2))))) N)) (/ (log -1) (log (/ -1 N)))) (+ 1 (* 1/16 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (log (/ -1 N)) 2))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (/ (+ (* -4 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 2 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* -1/4 (/ (* (+ (* -2 (* (log (/ -1 N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 2 (+ (log -1) (* -1 (log (/ -1 N))))))) (- (/ (log -1) (log (/ -1 N))) (+ 1 (* 1/16 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (log (/ -1 N)) 2)))))) (* (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* -1/4 (/ (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))) (- (* -1/4 (/ (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* -1/4 (/ (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))) (- (/ (log -1) (log (/ -1 N))) (+ 1 (* 1/16 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (log (/ -1 N)) 2)))))) (* (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/16 (/ (+ (* -2 (* (log (/ -1 N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 2 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (log (/ -1 N)) 2)))))) (* (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/16 (/ (+ (log -1) (+ (* -2 (* (log (/ -1 N)) (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1 (log (/ -1 N))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (* -2/3 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (pow (log (/ -1 N)) 2)))))) N)) (* -1/4 (/ (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (* -1/4 (/ (* (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))) (- (/ (log -1) (log (/ -1 N))) (+ 1 (* 1/16 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (log (/ -1 N)) 2)))))) (* (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/16 (/ (+ (* -2 (* (log (/ -1 N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))))) (+ (* -1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 2 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (log (/ -1 N)) 2))))) N)) (/ (log -1) (log (/ -1 N)))) (+ 1 (* 1/16 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) (* 4 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (log (/ -1 N)) 2))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(pow N 4)
(* (pow N 4) (+ 1 (* -2 N)))
(* (pow N 4) (+ 1 (* N (- (* 17/6 N) 2))))
(* (pow N 4) (+ 1 (* N (- (* N (+ 17/6 (* -7/2 N))) 2))))
(pow (log (/ 1 N)) 4)
(+ (* -4 (/ (pow (log (/ 1 N)) 3) N)) (pow (log (/ 1 N)) 4))
(+ (* -4 (/ (pow (log (/ 1 N)) 3) N)) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* 4 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (pow (log (/ 1 N)) 4))))
(+ (* -4 (/ (* (log (/ 1 N)) (+ 1 (log (/ 1 N)))) (pow N 3))) (+ (* -4 (/ (pow (log (/ 1 N)) 3) N)) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (+ 1 (log (/ 1 N)))) (pow N 2))) (+ (* 2 (/ (* (pow (log (/ 1 N)) 2) (- (* -2/3 (log (/ 1 N))) 1)) (pow N 3))) (+ (* 4 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (pow (log (/ 1 N)) 4))))))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(+ (* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
(+ (* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -1 (/ (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
(+ (* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 3)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (log -1) (* -1 (log (/ -1 N)))))) (* 2 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 4))
N
(* N (+ 1 (* -1/2 N)))
(* N (+ 1 (* N (- (* 1/3 N) 1/2))))
(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
(* -1 (log (/ 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)))
(+ (log -1) (* -1 (log (/ -1 N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (/ 1 N)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ -1/3 N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/ -1/3 N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(* -1 (pow (log N) 2))
(+ (* -1 (pow (log N) 2)) (* N (+ (log N) (* -1 (log N)))))
(+ (* -1 (pow (log N) 2)) (* N (+ (log N) (+ (* -1 (log N)) (* N (+ 1 (+ (* -1/2 (log N)) (* 1/2 (log N)))))))))
(+ (* -1 (pow (log N) 2)) (* N (+ (log N) (+ (* -1 (log N)) (* N (+ 1 (+ (* -1/2 (log N)) (+ (* 1/2 (log N)) (* N (- (+ (* -1/3 (log N)) (* 1/3 (log N))) 1))))))))))
(* -2 (/ (log (/ 1 N)) N))
(/ (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (/ (log (/ 1 N)) N))) N)
(/ (- (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N)))) (/ 1 (pow N 2))) N)
(/ (- (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 N) (+ (* 11/12 (/ 1 (pow N 3))) (/ (log (/ 1 N)) N)))))) (/ 1 (pow N 2))) N)
(* -2 (/ (log (/ -1 N)) N))
(* -1 (/ (+ (* -1 (/ (+ 1 (log (/ -1 N))) N)) (* 2 (log (/ -1 N)))) N))
(* -1 (/ (+ (* -1 (/ (+ 1 (+ (log (/ -1 N)) (* -1 (/ (+ 1 (* 2/3 (log (/ -1 N)))) N)))) N)) (* 2 (log (/ -1 N)))) N))
(* -1 (/ (+ (* -1 (/ (+ 1 (+ (log (/ -1 N)) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* 1/2 (log (/ -1 N)))) N)) (* 2/3 (log (/ -1 N))))) N)))) N)) (* 2 (log (/ -1 N)))) N))
(pow (log N) 4)
(pow (log N) 4)
(pow (log N) 4)
(pow (log N) 4)
(pow (log (/ 1 N)) 4)
(pow (log (/ 1 N)) 4)
(pow (log (/ 1 N)) 4)
(pow (log (/ 1 N)) 4)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow N 2)
(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(pow (log (/ 1 N)) 2)
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
Outputs
(/ -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 N #s(literal 1/3 binary64)) #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 N (+.f64 #s(literal 1/3 binary64) (*.f64 N #s(literal -1/2 binary64)))) #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 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (pow.f64 N #s(literal 4 binary64)))
(/ 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 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N N)))))) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -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)) (-.f64 #s(literal 0 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)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (*.f64 N (*.f64 N N)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (+.f64 (*.f64 N #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (+.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))
(/.f64 (+.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N 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 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
(- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N 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 (/ (- 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 #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))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (*.f64 N (*.f64 N N)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (+.f64 (*.f64 N #s(literal 1/3 binary64)) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (+.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/.f64 (+.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N)))
(/ -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 (/ 1/4 (pow N 2)))) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) N) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 N N)))) N)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
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(/.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2 binary64)) N)
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(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) N)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (+ (* -1 (/ (+ 1 (+ (log (/ -1 N)) (* -1 (/ (+ 1 (* 2/3 (log (/ -1 N)))) N)))) N)) (* 2 (log (/ -1 N)))) N))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2/3 binary64))) N)) N)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (+ (* -1 (/ (+ 1 (+ (log (/ -1 N)) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* 1/2 (log (/ -1 N)))) N)) (* 2/3 (log (/ -1 N))))) N)))) N)) (* 2 (log (/ -1 N)))) N))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2/3 binary64)) (/.f64 (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N))) N)) N)) (-.f64 #s(literal 0 binary64) N))
(pow (log N) 4)
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(pow (log N) 4)
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(pow (log N) 4)
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(pow (log N) 4)
(pow.f64 (log.f64 N) #s(literal 4 binary64))
(pow (log (/ 1 N)) 4)
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))
(pow (log (/ 1 N)) 4)
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))
(pow (log (/ 1 N)) 4)
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))
(pow (log (/ 1 N)) 4)
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 4 binary64))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (* -1 N)))
(*.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(*.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (*.f64 N #s(literal 11/12 binary64)) #s(literal -1 binary64)))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(*.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 #s(literal 11/12 binary64) (*.f64 N #s(literal -5/6 binary64)))) #s(literal -1 binary64)))))
(pow (log (/ 1 N)) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))
(+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (neg.f64 (*.f64 (log.f64 N) #s(literal -2 binary64))) N))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))
(+.f64 (/.f64 (neg.f64 (*.f64 (log.f64 N) #s(literal -2 binary64))) N) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (log.f64 N) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))
(+.f64 (/.f64 (neg.f64 (*.f64 (log.f64 N) #s(literal -2 binary64))) N) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (log.f64 N) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 (+.f64 (neg.f64 (*.f64 (log.f64 N) #s(literal -2/3 binary64))) #s(literal -1 binary64)) (*.f64 N (*.f64 N N)))))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N)) N))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) N)) N)) N))

eval310.0ms (2.8%)

Memory
-5.8MiB live, 578.7MiB allocated
Compiler

Compiled 101 535 to 5 454 computations (94.6% saved)

prune268.0ms (2.4%)

Memory
13.0MiB live, 468.7MiB allocated
Pruning

39 alts after pruning (33 fresh and 6 done)

PrunedKeptTotal
New2 040272 067
Fresh5611
Picked055
Done011
Total2 045392 084
Accuracy
99.8%
Counts
2 084 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.0%
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))))
24.2%
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 N)))
84.6%
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
84.9%
(pow.f64 (*.f64 N N) #s(literal -1/2 binary64))
97.9%
(/.f64 (/.f64 (+.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))) N)
97.9%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))))) N)
24.3%
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 8 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))))) (+.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 8 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 8 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))))) (*.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 8 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))))))))
98.0%
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
98.0%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N)
23.1%
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.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 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
97.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))) (*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
97.0%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
94.0%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
98.0%
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N N)))))) N)
97.0%
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
23.4%
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 N)) (*.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)))
98.0%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
97.8%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))) (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
98.0%
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
85.1%
(/.f64 #s(literal 1 binary64) N)
23.2%
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
23.7%
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (log.f64 N)) (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
23.2%
(-.f64 (log1p.f64 N) (log.f64 N))
23.3%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
24.9%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 (*.f64 (log.f64 N) #s(literal -2 binary64)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
97.6%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (+.f64 (neg.f64 (*.f64 (log.f64 N) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 N))) (*.f64 N (*.f64 N N))) (+.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (neg.f64 (/.f64 (log.f64 N) N)) (/.f64 #s(literal 11/12 binary64) (*.f64 N (*.f64 N N)))))) (-.f64 (/.f64 (neg.f64 (*.f64 (log.f64 N) #s(literal -2/3 binary64))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))) N))
25.0%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
23.3%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (log.f64 N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
26.7%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
26.2%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (log.f64 (/.f64 (-.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
21.1%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
26.2%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
98.0%
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
24.9%
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 N (*.f64 N N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (*.f64 (*.f64 N (*.f64 N N)) (log.f64 (/.f64 #s(literal 1 binary64) N)))))) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N))) (/.f64 (/.f64 #s(literal 1/4 binary64) N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 N (*.f64 N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
97.0%
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N))
26.2%
(neg.f64 (log.f64 (/.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))) (+.f64 (*.f64 N N) #s(literal -1 binary64)))))
26.7%
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
26.2%
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
26.2%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
Compiler

Compiled 2 867 to 1 101 computations (61.6% saved)

simplify468.0ms (4.2%)

Memory
-17.9MiB live, 383.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 N (+.f64 N #s(literal 1 binary64)))
cost-diff0
(log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
cost-diff0
(pow.f64 N #s(literal -1/2 binary64))
cost-diff12800
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff0
(*.f64 N N)
cost-diff0
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
cost-diff0
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N N)))))) N)
cost-diff384
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N N))))))
cost-diff0
(/.f64 #s(literal 1/2 binary64) N)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
cost-diff0
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))
cost-diff0
(/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
Rules
8 572×accelerator-lowering-fma.f32
8 572×accelerator-lowering-fma.f64
3 424×*-lowering-*.f32
3 424×*-lowering-*.f64
2 346×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046342
197338
2218334
3613334
41865334
54568334
67624334
08473318
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))))
1
(/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)))
N
(+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))
(/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)
(- -1/2 (/ (+ (/ 1/4 N) -1/3) N))
-1/2
(/ (+ (/ 1/4 N) -1/3) N)
(+ (/ 1/4 N) -1/3)
(/ 1/4 N)
1/4
-1/3
(/ (- 1 (/ 1/2 N)) N)
(- 1 (/ 1/2 N))
1
(/ 1/2 N)
1/2
N
(/ (+ (/ 1/3 (* N N)) (- 1 (+ (/ 1/2 N) (/ 1/4 (* N (* N N)))))) N)
(+ (/ 1/3 (* N N)) (- 1 (+ (/ 1/2 N) (/ 1/4 (* N (* N N))))))
(/ 1/3 (* N N))
1/3
(* N N)
N
(- 1 (+ (/ 1/2 N) (/ 1/4 (* N (* N N)))))
1
(+ (/ 1/2 N) (/ 1/4 (* N (* N N))))
(/ 1/2 N)
1/2
(/ 1/4 (* N (* N N)))
1/4
(* N (* N N))
(pow (pow N -1/2) 2)
(pow N -1/2)
N
-1/2
2
(* (/ 1 (log (* N (+ N 1)))) (* (log (/ (+ N 1) N)) (/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ N (+ 1 N))))))
(/ 1 (log (* N (+ N 1))))
1
(log (* N (+ N 1)))
(* N (+ N 1))
N
(+ N 1)
(* (log (/ (+ N 1) N)) (/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ N (+ 1 N)))))
(log (/ (+ N 1) N))
(/ (+ N 1) N)
(/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ N (+ 1 N))))
(- (pow (log N) 2) (pow (log (+ 1 N)) 2))
(pow (log N) 2)
(log N)
2
(pow (log (+ 1 N)) 2)
(log (+ 1 N))
(log (/ N (+ 1 N)))
(/ N (+ 1 N))
(+ 1 N)
Outputs
(/ 1 (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
1
#s(literal 1 binary64)
(/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)))
(/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
N
(+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))
(/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
(- -1/2 (/ (+ (/ 1/4 N) -1/3) N))
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))
-1/2
#s(literal -1/2 binary64)
(/ (+ (/ 1/4 N) -1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(+ (/ 1/4 N) -1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(/ 1/4 N)
(/.f64 #s(literal 1/4 binary64) N)
1/4
#s(literal 1/4 binary64)
-1/3
#s(literal -1/3 binary64)
(/ (- 1 (/ 1/2 N)) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(- 1 (/ 1/2 N))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
1
#s(literal 1 binary64)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
1/2
#s(literal 1/2 binary64)
N
(/ (+ (/ 1/3 (* N N)) (- 1 (+ (/ 1/2 N) (/ 1/4 (* N (* N N)))))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(+ (/ 1/3 (* N N)) (- 1 (+ (/ 1/2 N) (/ 1/4 (* N (* N N))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))
(/ 1/3 (* N N))
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
1/3
#s(literal 1/3 binary64)
(* N N)
(*.f64 N N)
N
(- 1 (+ (/ 1/2 N) (/ 1/4 (* N (* N N)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (/.f64 #s(literal -1/4 binary64) N) (*.f64 N N)))
1
#s(literal 1 binary64)
(+ (/ 1/2 N) (/ 1/4 (* N (* N N))))
(+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N N))))
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
1/2
#s(literal 1/2 binary64)
(/ 1/4 (* N (* N N)))
(/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N N)))
1/4
#s(literal 1/4 binary64)
(* N (* N N))
(*.f64 N (*.f64 N N))
(pow (pow N -1/2) 2)
(/.f64 #s(literal 1 binary64) N)
(pow N -1/2)
(pow.f64 N #s(literal -1/2 binary64))
N
-1/2
#s(literal -1/2 binary64)
2
#s(literal 2 binary64)
(* (/ 1 (log (* N (+ N 1)))) (* (log (/ (+ N 1) N)) (/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ N (+ 1 N))))))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(/ 1 (log (* N (+ N 1))))
(/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
1
#s(literal 1 binary64)
(log (* N (+ N 1)))
(log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(* N (+ N 1))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
N
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
(* (log (/ (+ N 1) N)) (/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ N (+ 1 N)))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(log (/ (+ N 1) N))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(/ (+ N 1) N)
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ N (+ 1 N))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(- (pow (log N) 2) (pow (log (+ 1 N)) 2))
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(log N)
(log.f64 N)
2
#s(literal 2 binary64)
(pow (log (+ 1 N)) 2)
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(log (+ 1 N))
(log1p.f64 N)
(log (/ N (+ 1 N)))
(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
(/ N (+ 1 N))
(/.f64 N (+.f64 #s(literal 1 binary64) N))
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)

localize427.0ms (3.8%)

Memory
9.7MiB live, 394.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy26.9%
(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
accuracy26.2%
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
accuracy23.6%
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
accuracy100.0%
(pow.f64 N #s(literal -1/2 binary64))
accuracy99.2%
(pow.f64 (pow.f64 N #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy99.8%
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N N)))))) N)
accuracy99.6%
(*.f64 N (*.f64 N N))
accuracy99.6%
(/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N N)))
accuracy99.4%
(/.f64 #s(literal 1/3 binary64) (*.f64 N N))
accuracy100.0%
(/.f64 #s(literal 1/2 binary64) N)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
accuracy99.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
accuracy99.9%
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)
accuracy99.8%
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
accuracy99.4%
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
Samples
275.0ms197×1valid
33.0ms59×0valid
Compiler

Compiled 350 to 48 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 229.0ms
ival-log: 75.0ms (32.8% of total)
ival-mult: 50.0ms (21.9% of total)
ival-div: 35.0ms (15.3% of total)
ival-pow2: 12.0ms (5.2% of total)
ival-add: 12.0ms (5.2% of total)
adjust: 10.0ms (4.4% of total)
...in/eval/compile.rkt:111:19: 10.0ms (4.4% of total)
ival-pow: 9.0ms (3.9% of total)
ival-sub: 8.0ms (3.5% of total)
ival-log1p: 6.0ms (2.6% of total)
...in/eval/compile.rkt:110:19: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory
-3.3MiB live, 37.6MiB allocated
Counts
25 → 300
Calls
Call 1
Inputs
#<alt (/ 1 (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))))>
#<alt (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)))>
#<alt (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))>
#<alt (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)>
#<alt (/ (- 1 (/ 1/2 N)) N)>
#<alt (- 1 (/ 1/2 N))>
#<alt (/ 1/2 N)>
#<alt (+ (/ 1/3 (* N N)) (- 1 (+ (/ 1/2 N) (/ 1/4 (* N (* N N))))))>
#<alt (/ (+ (/ 1/3 (* N N)) (- 1 (+ (/ 1/2 N) (/ 1/4 (* N (* N N)))))) N)>
#<alt (/ 1/3 (* N N))>
#<alt (* N N)>
#<alt (pow (pow N -1/2) 2)>
#<alt (pow N -1/2)>
#<alt (* (/ 1 (log (* N (+ N 1)))) (* (log (/ (+ N 1) N)) (/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ N (+ 1 N))))))>
#<alt (/ 1 (log (* N (+ N 1))))>
#<alt (log (* N (+ N 1)))>
#<alt (* N (+ N 1))>
#<alt (/ (+ (/ 1/4 N) -1/3) N)>
#<alt (+ (/ 1/4 N) -1/3)>
#<alt (/ 1/4 (* N (* N N)))>
#<alt (* N (* N N))>
#<alt (- (pow (log N) 2) (pow (log (+ 1 N)) 2))>
#<alt (log (/ (+ N 1) N))>
#<alt (log (/ N (+ 1 N)))>
#<alt (pow (log (+ 1 N)) 2)>
Outputs
#<alt (/ -1/4 (pow N 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (* -4 (pow N 4))>
#<alt (* (pow N 4) (- (* -16/3 N) 4))>
#<alt (* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))>
#<alt (* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))>
#<alt (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))>
#<alt (* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ -1/2 N)>
#<alt (/ (- (* 1/3 (/ 1 N)) 1/2) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)>
#<alt (/ -1/2 N)>
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))>
#<alt (/ -1/2 (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ (- N 1/2) (pow N 2))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (/ -1/2 N)>
#<alt (/ (- N 1/2) N)>
#<alt (/ (- N 1/2) N)>
#<alt (/ (- N 1/2) N)>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))>
#<alt (/ -1/4 (pow N 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ 1/3 (pow N 2))>
#<alt (/ 1/3 (pow N 2))>
#<alt (/ 1/3 (pow N 2))>
#<alt (/ 1/3 (pow N 2))>
#<alt (/ 1/3 (pow N 2))>
#<alt (/ 1/3 (pow N 2))>
#<alt (/ 1/3 (pow N 2))>
#<alt (/ 1/3 (pow N 2))>
#<alt (/ 1/3 (pow N 2))>
#<alt (/ 1/3 (pow N 2))>
#<alt (/ 1/3 (pow N 2))>
#<alt (/ 1/3 (pow N 2))>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (pow (sqrt -1) 2) N))>
#<alt (* -1 (/ (pow (sqrt -1) 2) N))>
#<alt (* -1 (/ (pow (sqrt -1) 2) N))>
#<alt (* -1 (/ (pow (sqrt -1) 2) N))>
#<alt (sqrt (/ 1 N))>
#<alt (sqrt (/ 1 N))>
#<alt (sqrt (/ 1 N))>
#<alt (sqrt (/ 1 N))>
#<alt (sqrt (/ 1 N))>
#<alt (sqrt (/ 1 N))>
#<alt (sqrt (/ 1 N))>
#<alt (sqrt (/ 1 N))>
#<alt (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))>
#<alt (* -1 (log N))>
#<alt (+ (* -1 (log N)) (* N (- 1 (* -1 (/ (+ (log N) (* -1 (log N))) (log N))))))>
#<alt (+ (* -1 (log N)) (* N (- (+ 1 (* N (- (/ 1 (log N)) (+ 1/2 (+ (* -1 (/ (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1) (log N))) (/ (* (+ (log N) (* -1 (log N))) (- 1 (* -1 (/ (+ (log N) (* -1 (log N))) (log N))))) (pow (log N) 2))))))) (* -1 (/ (+ (log N) (* -1 (log N))) (log N))))))>
#<alt (+ (* -1 (log N)) (* N (- (+ 1 (* N (- (+ (* N (- 1/3 (+ (* -1 (/ (+ 1 (+ (* -1/3 (log N)) (* 1/3 (log N)))) (log N))) (+ (/ 1 (log N)) (+ (/ 1 (pow (log N) 2)) (+ (/ (* (+ (log N) (* -1 (log N))) (- (/ 1 (log N)) (+ 1/2 (+ (* -1 (/ (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1) (log N))) (/ (* (+ (log N) (* -1 (log N))) (- 1 (* -1 (/ (+ (log N) (* -1 (log N))) (log N))))) (pow (log N) 2)))))) (pow (log N) 2)) (/ (* (- 1 (* -1 (/ (+ (log N) (* -1 (log N))) (log N)))) (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1)) (pow (log N) 2)))))))) (/ 1 (log N))) (+ 1/2 (+ (* -1 (/ (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1) (log N))) (/ (* (+ (log N) (* -1 (log N))) (- 1 (* -1 (/ (+ (log N) (* -1 (log N))) (log N))))) (pow (log N) 2))))))) (* -1 (/ (+ (log N) (* -1 (log N))) (log N))))))>
#<alt (/ 1 N)>
#<alt (/ (- (+ 1 (* 1/2 (/ (+ (* -1 (log (/ 1 N))) (* -1 (+ 1 (log (/ 1 N))))) (* N (log (/ 1 N)))))) (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (* N (log (/ 1 N)))))) N)>
#<alt (/ (- (+ 1 (+ (* 1/2 (/ (+ (* -1 (log (/ 1 N))) (* -1 (+ 1 (log (/ 1 N))))) (* N (log (/ 1 N))))) (* 1/2 (/ (- (+ 1 (+ (* 1/2 (+ 1 (log (/ 1 N)))) (* 2/3 (log (/ 1 N))))) (* -2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))))) (+ (* 1/2 (/ (* (- (* -1 (log (/ 1 N))) 1) (- (* 1/2 (/ (+ (* -1 (log (/ 1 N))) (* -1 (+ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/2 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (* N (log (/ 1 N)))))))) N)>
#<alt (/ (- (+ 1 (+ (* 1/2 (/ (+ (* -1 (log (/ 1 N))) (* -1 (+ 1 (log (/ 1 N))))) (* N (log (/ 1 N))))) (+ (* 1/2 (/ (+ (* -1 (+ 11/12 (* 1/2 (log (/ 1 N))))) (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (- 1 (* -2/3 (log (/ 1 N))))) (* -1/3 (+ 1 (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (* 1/2 (/ (- (+ 1 (+ (* 1/2 (+ 1 (log (/ 1 N)))) (* 2/3 (log (/ 1 N))))) (* -2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N)))))))) (+ (* 1/2 (/ (* (+ 1 (* 2/3 (log (/ 1 N)))) (- (* 1/2 (/ (+ (* -1 (log (/ 1 N))) (* -1 (+ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/2 (/ (* (- (* -1 (log (/ 1 N))) 1) (- (* 1/2 (/ (+ (* -1 (log (/ 1 N))) (* -1 (+ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/2 (/ (* (- (* -1 (log (/ 1 N))) 1) (- (* 1/2 (/ (- (+ 1 (+ (* 1/2 (+ 1 (log (/ 1 N)))) (* 2/3 (log (/ 1 N))))) (* -2/3 (log (/ 1 N)))) (log (/ 1 N)))) (+ (* 1/2 (/ (* (- (* -1 (log (/ 1 N))) 1) (- (* 1/2 (/ (+ (* -1 (log (/ 1 N))) (* -1 (+ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))))) (log (/ 1 N)))) (* 1/2 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/2 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (* N (log (/ 1 N))))) (* 1/2 (/ (- (* -1/2 (log (/ 1 N))) 11/12) (* (pow N 3) (log (/ 1 N))))))))))) N)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (log (/ -1 N)))))>
#<alt (* -1 (/ (+ -1 (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -1 (log (/ -1 N))) 1)) (pow (log (/ -1 N)) 2)))) N)) (/ (log -1) (log (/ -1 N))))) N))>
#<alt (* -1 (/ (+ -1 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (+ (* -4/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))))) (log (/ -1 N)))) (+ (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -2/3 (log (/ -1 N))) 1)) (pow (log (/ -1 N)) 2))) (* -1/2 (/ (* (- (* -1 (log (/ -1 N))) 1) (- (* -1/2 (/ (+ 1 (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -1 (log (/ -1 N))) 1)) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) N)) (* -1/2 (/ (+ 1 (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -1 (log (/ -1 N))) 1)) (pow (log (/ -1 N)) 2)))) N)) (/ (log -1) (log (/ -1 N))))) N))>
#<alt (* -1 (/ (+ -1 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 11/12 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* 1/3 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (* 1/2 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))))))) (log (/ -1 N)))) (+ (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -1/2 (log (/ -1 N))) 11/12)) (pow (log (/ -1 N)) 2))) (+ (* -1/2 (/ (* (- (* -1 (log (/ -1 N))) 1) (- (* -1/2 (/ (+ 1 (+ (* -4/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))))) (log (/ -1 N)))) (+ (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -2/3 (log (/ -1 N))) 1)) (pow (log (/ -1 N)) 2))) (* -1/2 (/ (* (- (* -1 (log (/ -1 N))) 1) (- (* -1/2 (/ (+ 1 (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -1 (log (/ -1 N))) 1)) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))))) (log (/ -1 N)))) (* -1/2 (/ (* (- (* -2/3 (log (/ -1 N))) 1) (- (* -1/2 (/ (+ 1 (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -1 (log (/ -1 N))) 1)) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))))) N)) (* -1/2 (/ (+ 1 (+ (* -4/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))))) (log (/ -1 N))))) (+ (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -2/3 (log (/ -1 N))) 1)) (pow (log (/ -1 N)) 2))) (* -1/2 (/ (* (- (* -1 (log (/ -1 N))) 1) (- (* -1/2 (/ (+ 1 (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -1 (log (/ -1 N))) 1)) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) N)) (* -1/2 (/ (+ 1 (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -1 (log (/ -1 N))) 1)) (pow (log (/ -1 N)) 2)))) N)) (/ (log -1) (log (/ -1 N))))) N))>
#<alt (/ 1 (log N))>
#<alt (+ (* -1 (/ N (pow (log N) 2))) (/ 1 (log N)))>
#<alt (+ (* N (- (* N (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))>
#<alt (+ (* N (- (* N (+ (* -1 (* N (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (/ 1 (pow (log N) 3)) (/ 1 (pow (log N) 4)))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))>
#<alt (/ -1/2 (log (/ 1 N)))>
#<alt (* -1 (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ 1 N)) 2))))))>
#<alt (- (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))))))>
#<alt (- (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 3))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 3)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))))))))>
#<alt (/ -1/2 (log (/ -1 N)))>
#<alt (* -1 (+ (* 1/2 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ -1 N)) 2))))))>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 3)))) N)) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N)))))>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (/ 1 (pow (log (/ -1 N)) 2))) (+ (* 1/16 (/ 1 (pow (log (/ -1 N)) 3))) (* 1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))))) N)) (* 1/8 (/ 1 (pow (log (/ -1 N)) 2)))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 3)))) N)) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N)))))>
#<alt (log N)>
#<alt (+ N (log N))>
#<alt (+ (log N) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (* -2 (log (/ 1 N)))>
#<alt (+ (* -2 (log (/ 1 N))) (/ 1 N))>
#<alt (- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))>
#<alt (- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))>
#<alt (* -2 (log (/ -1 N)))>
#<alt (+ (* -2 (log (/ -1 N))) (/ 1 N))>
#<alt (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))>
#<alt (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))>
#<alt N>
#<alt (* N (+ 1 N))>
#<alt (* N (+ 1 N))>
#<alt (* N (+ 1 N))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (/ 1/4 (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ -1/3 N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ (- (* 1/4 (/ 1 N)) 1/3) N)>
#<alt (/ -1/3 N)>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))>
#<alt (/ 1/4 N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt (/ (+ 1/4 (* -1/3 N)) N)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt -1/3>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (- (* 1/4 (/ 1 N)) 1/3)>
#<alt (/ 1/4 (pow N 3))>
#<alt (/ 1/4 (pow N 3))>
#<alt (/ 1/4 (pow N 3))>
#<alt (/ 1/4 (pow N 3))>
#<alt (/ 1/4 (pow N 3))>
#<alt (/ 1/4 (pow N 3))>
#<alt (/ 1/4 (pow N 3))>
#<alt (/ 1/4 (pow N 3))>
#<alt (/ 1/4 (pow N 3))>
#<alt (/ 1/4 (pow N 3))>
#<alt (/ 1/4 (pow N 3))>
#<alt (/ 1/4 (pow N 3))>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow (log N) 2)>
#<alt (+ (* -1 (pow N 2)) (pow (log N) 2))>
#<alt (+ (* (pow N 2) (- N 1)) (pow (log N) 2))>
#<alt (+ (* (pow N 2) (- (* N (+ 1 (* -11/12 N))) 1)) (pow (log N) 2))>
#<alt (* 2 (/ (log (/ 1 N)) N))>
#<alt (/ (- (* -1 (/ (+ 1 (log (/ 1 N))) N)) (* -2 (log (/ 1 N)))) N)>
#<alt (/ (- (/ 1 (pow N 2)) (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N))))) N)>
#<alt (/ (- (+ (* -1 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (pow N 3))) (/ 1 (pow N 2))) (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N))))) N)>
#<alt (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ 1 N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ 1 N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (* 11/12 (/ 1 N))) (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (log N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* 1/2 N) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))>
#<alt (/ -1 N)>
#<alt (/ (- (* 1/2 (/ 1 N)) 1) N)>
#<alt (/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)>
#<alt (/ -1 N)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (* -1 N)))>
#<alt (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))>
#<alt (* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))>
#<alt (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
Calls

75 calls:

TimeVariablePointExpression
6.0ms
N
@-inf
(* (/ 1 (log (* N (+ N 1)))) (* (log (/ (+ N 1) N)) (/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ N (+ 1 N))))))
5.0ms
N
@inf
(/ 1/4 (* N (* N N)))
3.0ms
N
@inf
(* (/ 1 (log (* N (+ N 1)))) (* (log (/ (+ N 1) N)) (/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ N (+ 1 N))))))
1.0ms
N
@0
(* (/ 1 (log (* N (+ N 1)))) (* (log (/ (+ N 1) N)) (/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ N (+ 1 N))))))
1.0ms
N
@-inf
(pow (pow N -1/2) 2)

rewrite428.0ms (3.8%)

Memory
-14.2MiB live, 431.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 486×/-lowering-/.f32
4 486×/-lowering-/.f64
3 052×*-lowering-*.f32
3 052×*-lowering-*.f64
2 278×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046223
1324207
23165191
08423181
Stop Event
iter limit
node limit
Counts
25 → 824
Calls
Call 1
Inputs
(/ 1 (/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))))
(/ N (+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)))
(+ 1 (/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N))
(/ (- -1/2 (/ (+ (/ 1/4 N) -1/3) N)) N)
(/ (- 1 (/ 1/2 N)) N)
(- 1 (/ 1/2 N))
(/ 1/2 N)
(+ (/ 1/3 (* N N)) (- 1 (+ (/ 1/2 N) (/ 1/4 (* N (* N N))))))
(/ (+ (/ 1/3 (* N N)) (- 1 (+ (/ 1/2 N) (/ 1/4 (* N (* N N)))))) N)
(/ 1/3 (* N N))
(* N N)
(pow (pow N -1/2) 2)
(pow N -1/2)
(* (/ 1 (log (* N (+ N 1)))) (* (log (/ (+ N 1) N)) (/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ N (+ 1 N))))))
(/ 1 (log (* N (+ N 1))))
(log (* N (+ N 1)))
(* N (+ N 1))
(/ (+ (/ 1/4 N) -1/3) N)
(+ (/ 1/4 N) -1/3)
(/ 1/4 (* N (* N N)))
(* N (* N N))
(- (pow (log N) 2) (pow (log (+ 1 N)) 2))
(log (/ (+ N 1) N))
(log (/ N (+ 1 N)))
(pow (log (+ 1 N)) 2)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(+.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) (/.f64 #s(literal 1 binary64) N))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) N))
(exp.f64 (*.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N))
(fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(fma.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N))
(fma.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -3/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(fma.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 N #s(literal -3/4 binary64)) (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 (pow.f64 N #s(literal -3/4 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(fma.f64 (pow.f64 N #s(literal -1/4 binary64)) (pow.f64 (pow.f64 N #s(literal -3/4 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 (pow.f64 N #s(literal -3/4 binary64)) (pow.f64 N #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(fma.f64 (pow.f64 N #s(literal -3/4 binary64)) (pow.f64 N #s(literal -1/4 binary64)) (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 (pow.f64 (pow.f64 N #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(fma.f64 (pow.f64 (pow.f64 N #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -1/4 binary64)) (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 #s(literal 1 binary64) N)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))) (-.f64 #s(literal 0 binary64) N))
(/.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (*.f64 N (*.f64 N N)))) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal 1 binary64)) (/.f64 N (-.f64 #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 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))) (*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (*.f64 N (*.f64 N N))))) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal 1 binary64)) (/.f64 N (-.f64 #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 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))))) (*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (*.f64 N (*.f64 N N))))) (neg.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal 1 binary64)) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))))) (neg.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) (neg.f64 (-.f64 #s(literal 0 binary64) N)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) N)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))) (*.f64 N (*.f64 N N))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) #s(literal 1 binary64)) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N) (/.f64 N (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))) N)
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))) (-.f64 #s(literal 0 binary64) N))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) #s(literal -1 binary64))
(*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(*.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(+.f64 (log1p.f64 N) (-.f64 #s(literal 0 binary64) (log.f64 N)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) N))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N))))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) (log1p.f64 N))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N))) (log.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) N))) (log.f64 (-.f64 #s(literal 0 binary64) N)))
(-.f64 (log1p.f64 (*.f64 N (*.f64 N N))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
(-.f64 (log1p.f64 (*.f64 N (*.f64 N N))) (log.f64 (*.f64 N (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (log.f64 (*.f64 N (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64))) (log.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) (-.f64 #s(literal 0 binary64) (log1p.f64 N)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))) N)))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)) N)))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) N)))
(-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 N #s(literal -1 binary64)) N)))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) N)))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) N))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) N))) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) N))) (log.f64 (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))) (log.f64 (-.f64 #s(literal 1 binary64) N)))
(-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N))) (log.f64 (+.f64 N #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 N)) (log1p.f64 N))
(fma.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 N N)) (log1p.f64 N))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 N)) (log1p.f64 N))
(fma.f64 (log.f64 N) #s(literal -1 binary64) (log1p.f64 N))
(fma.f64 #s(literal -1 binary64) (log.f64 N) (log1p.f64 N))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 N)) #s(literal 2 binary64) (log1p.f64 N))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 N)))
(fma.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 N)))
(neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
(/.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 2 binary64)) (+.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 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) 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 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
(+.f64 (log.f64 N) (-.f64 #s(literal 0 binary64) (log1p.f64 N)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) N)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) N)))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N)) (log.f64 N))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) N)))) (log.f64 (-.f64 #s(literal 0 binary64) N)))
(+.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))
(+.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) (log.f64 (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))
(+.f64 (log.f64 (/.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (-.f64 #s(literal 1 binary64) N)))
(+.f64 (log.f64 (/.f64 N (+.f64 (*.f64 N N) #s(literal -1 binary64)))) (log.f64 (+.f64 N #s(literal -1 binary64))))
(-.f64 (log.f64 N) (log1p.f64 N))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) N)) (log.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) N))))
(-.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N)) (-.f64 #s(literal 0 binary64) (log.f64 N)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) N))) (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) N)))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 N) (log.f64 N))
(fma.f64 (pow.f64 (log.f64 N) #s(literal 1/2 binary64)) (pow.f64 (log.f64 N) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log1p.f64 N)))
(fma.f64 (pow.f64 (pow.f64 (log.f64 N) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 N) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (log1p.f64 N)))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64))))
(/.f64 (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log1p.f64 N))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))) #s(literal 1 binary64)))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log1p.f64 N)))
(*.f64 (log1p.f64 N) (log1p.f64 N))

simplify378.0ms (3.4%)

Memory
14.8MiB live, 609.0MiB allocated
Algorithm
egg-herbie
Rules
5 974×accelerator-lowering-fma.f32
5 974×accelerator-lowering-fma.f64
4 050×+-lowering-+.f64
4 050×+-lowering-+.f32
3 690×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06224120
119383743
265503703
081463551
Stop Event
iter limit
node limit
Counts
300 → 300
Calls
Call 1
Inputs
(/ -1/4 (pow N 4))
(/ (- (* 1/3 N) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/ 1 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 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))
(* -4 (pow N 4))
(* (pow N 4) (- (* -16/3 N) 4))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(/ -1/4 (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
(- 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
(- 1 (* 1/2 (/ 1 N)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(/ -1/4 (pow N 3))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
(/ -1/2 N)
(/ (- (* 1/3 (/ 1 N)) 1/2) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ (- (* 1/3 (/ 1 N)) (+ 1/2 (/ 1/4 (pow N 2)))) N)
(/ -1/2 N)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))
(/ -1/2 (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ (- N 1/2) (pow N 2))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/ -1/2 N)
(/ (- N 1/2) N)
(/ (- N 1/2) N)
(/ (- N 1/2) N)
1
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
1
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
(- 1 (* 1/2 (/ 1 N)))
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ -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
(- 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
(- 1 (* 1/2 (/ 1 N)))
(+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))
(/ -1/4 (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 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 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))
(/ 1/3 (pow N 2))
(/ 1/3 (pow N 2))
(/ 1/3 (pow N 2))
(/ 1/3 (pow N 2))
(/ 1/3 (pow N 2))
(/ 1/3 (pow N 2))
(/ 1/3 (pow N 2))
(/ 1/3 (pow N 2))
(/ 1/3 (pow N 2))
(/ 1/3 (pow N 2))
(/ 1/3 (pow N 2))
(/ 1/3 (pow N 2))
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(pow N 2)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(* -1 (/ (pow (sqrt -1) 2) N))
(* -1 (/ (pow (sqrt -1) 2) N))
(* -1 (/ (pow (sqrt -1) 2) N))
(* -1 (/ (pow (sqrt -1) 2) N))
(sqrt (/ 1 N))
(sqrt (/ 1 N))
(sqrt (/ 1 N))
(sqrt (/ 1 N))
(sqrt (/ 1 N))
(sqrt (/ 1 N))
(sqrt (/ 1 N))
(sqrt (/ 1 N))
(* (sqrt (/ 1 N)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 N)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 N)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 N)) (pow (sqrt -1) 2))
(* -1 (log N))
(+ (* -1 (log N)) (* N (- 1 (* -1 (/ (+ (log N) (* -1 (log N))) (log N))))))
(+ (* -1 (log N)) (* N (- (+ 1 (* N (- (/ 1 (log N)) (+ 1/2 (+ (* -1 (/ (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1) (log N))) (/ (* (+ (log N) (* -1 (log N))) (- 1 (* -1 (/ (+ (log N) (* -1 (log N))) (log N))))) (pow (log N) 2))))))) (* -1 (/ (+ (log N) (* -1 (log N))) (log N))))))
(+ (* -1 (log N)) (* N (- (+ 1 (* N (- (+ (* N (- 1/3 (+ (* -1 (/ (+ 1 (+ (* -1/3 (log N)) (* 1/3 (log N)))) (log N))) (+ (/ 1 (log N)) (+ (/ 1 (pow (log N) 2)) (+ (/ (* (+ (log N) (* -1 (log N))) (- (/ 1 (log N)) (+ 1/2 (+ (* -1 (/ (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1) (log N))) (/ (* (+ (log N) (* -1 (log N))) (- 1 (* -1 (/ (+ (log N) (* -1 (log N))) (log N))))) (pow (log N) 2)))))) (pow (log N) 2)) (/ (* (- 1 (* -1 (/ (+ (log N) (* -1 (log N))) (log N)))) (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1)) (pow (log N) 2)))))))) (/ 1 (log N))) (+ 1/2 (+ (* -1 (/ (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1) (log N))) (/ (* (+ (log N) (* -1 (log N))) (- 1 (* -1 (/ (+ (log N) (* -1 (log N))) (log N))))) (pow (log N) 2))))))) (* -1 (/ (+ (log N) (* -1 (log N))) (log N))))))
(/ 1 N)
(/ (- (+ 1 (* 1/2 (/ (+ (* -1 (log (/ 1 N))) (* -1 (+ 1 (log (/ 1 N))))) (* N (log (/ 1 N)))))) (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (* N (log (/ 1 N)))))) N)
(/ (- (+ 1 (+ (* 1/2 (/ (+ (* -1 (log (/ 1 N))) (* -1 (+ 1 (log (/ 1 N))))) (* N (log (/ 1 N))))) (* 1/2 (/ (- (+ 1 (+ (* 1/2 (+ 1 (log (/ 1 N)))) (* 2/3 (log (/ 1 N))))) (* -2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))))) (+ (* 1/2 (/ (* (- (* -1 (log (/ 1 N))) 1) (- (* 1/2 (/ (+ (* -1 (log (/ 1 N))) (* -1 (+ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/2 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (* N (log (/ 1 N)))))))) N)
(/ (- (+ 1 (+ (* 1/2 (/ (+ (* -1 (log (/ 1 N))) (* -1 (+ 1 (log (/ 1 N))))) (* N (log (/ 1 N))))) (+ (* 1/2 (/ (+ (* -1 (+ 11/12 (* 1/2 (log (/ 1 N))))) (+ (* -1/2 (log (/ 1 N))) (+ (* -1/2 (- 1 (* -2/3 (log (/ 1 N))))) (* -1/3 (+ 1 (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (* 1/2 (/ (- (+ 1 (+ (* 1/2 (+ 1 (log (/ 1 N)))) (* 2/3 (log (/ 1 N))))) (* -2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N)))))))) (+ (* 1/2 (/ (* (+ 1 (* 2/3 (log (/ 1 N)))) (- (* 1/2 (/ (+ (* -1 (log (/ 1 N))) (* -1 (+ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/2 (/ (* (- (* -1 (log (/ 1 N))) 1) (- (* 1/2 (/ (+ (* -1 (log (/ 1 N))) (* -1 (+ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/2 (/ (* (- (* -1 (log (/ 1 N))) 1) (- (* 1/2 (/ (- (+ 1 (+ (* 1/2 (+ 1 (log (/ 1 N)))) (* 2/3 (log (/ 1 N))))) (* -2/3 (log (/ 1 N)))) (log (/ 1 N)))) (+ (* 1/2 (/ (* (- (* -1 (log (/ 1 N))) 1) (- (* 1/2 (/ (+ (* -1 (log (/ 1 N))) (* -1 (+ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (log (/ 1 N)))))) (log (/ 1 N)))) (* 1/2 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/2 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (* 1/2 (/ (- (* -1 (log (/ 1 N))) 1) (* N (log (/ 1 N))))) (* 1/2 (/ (- (* -1/2 (log (/ 1 N))) 11/12) (* (pow N 3) (log (/ 1 N))))))))))) N)
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (log (/ -1 N)))))
(* -1 (/ (+ -1 (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -1 (log (/ -1 N))) 1)) (pow (log (/ -1 N)) 2)))) N)) (/ (log -1) (log (/ -1 N))))) N))
(* -1 (/ (+ -1 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (+ (* -4/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))))) (log (/ -1 N)))) (+ (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -2/3 (log (/ -1 N))) 1)) (pow (log (/ -1 N)) 2))) (* -1/2 (/ (* (- (* -1 (log (/ -1 N))) 1) (- (* -1/2 (/ (+ 1 (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -1 (log (/ -1 N))) 1)) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) N)) (* -1/2 (/ (+ 1 (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -1 (log (/ -1 N))) 1)) (pow (log (/ -1 N)) 2)))) N)) (/ (log -1) (log (/ -1 N))))) N))
(* -1 (/ (+ -1 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 11/12 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* 1/3 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) (* 1/2 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))))))) (log (/ -1 N)))) (+ (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -1/2 (log (/ -1 N))) 11/12)) (pow (log (/ -1 N)) 2))) (+ (* -1/2 (/ (* (- (* -1 (log (/ -1 N))) 1) (- (* -1/2 (/ (+ 1 (+ (* -4/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))))) (log (/ -1 N)))) (+ (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -2/3 (log (/ -1 N))) 1)) (pow (log (/ -1 N)) 2))) (* -1/2 (/ (* (- (* -1 (log (/ -1 N))) 1) (- (* -1/2 (/ (+ 1 (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -1 (log (/ -1 N))) 1)) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))))) (log (/ -1 N)))) (* -1/2 (/ (* (- (* -2/3 (log (/ -1 N))) 1) (- (* -1/2 (/ (+ 1 (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -1 (log (/ -1 N))) 1)) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))))) N)) (* -1/2 (/ (+ 1 (+ (* -4/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* 1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))))) (log (/ -1 N))))) (+ (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -2/3 (log (/ -1 N))) 1)) (pow (log (/ -1 N)) 2))) (* -1/2 (/ (* (- (* -1 (log (/ -1 N))) 1) (- (* -1/2 (/ (+ 1 (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -1 (log (/ -1 N))) 1)) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) N)) (* -1/2 (/ (+ 1 (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (* -1/2 (/ (* (+ (log -1) (* -1 (log (/ -1 N)))) (- (* -1 (log (/ -1 N))) 1)) (pow (log (/ -1 N)) 2)))) N)) (/ (log -1) (log (/ -1 N))))) N))
(/ 1 (log N))
(+ (* -1 (/ N (pow (log N) 2))) (/ 1 (log N)))
(+ (* N (- (* N (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(+ (* N (- (* N (+ (* -1 (* N (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (/ 1 (pow (log N) 3)) (/ 1 (pow (log N) 4)))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(/ -1/2 (log (/ 1 N)))
(* -1 (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ 1 N)) 2))))))
(- (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))))))
(- (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 3))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 3)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))))))))
(/ -1/2 (log (/ -1 N)))
(* -1 (+ (* 1/2 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ -1 N)) 2))))))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 3)))) N)) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N)))))
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (/ 1 (pow (log (/ -1 N)) 2))) (+ (* 1/16 (/ 1 (pow (log (/ -1 N)) 3))) (* 1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))))) N)) (* 1/8 (/ 1 (pow (log (/ -1 N)) 2)))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 3)))) N)) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N)))))
(log N)
(+ N (log N))
(+ (log N) (* N (+ 1 (* -1/2 N))))
(+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(* -2 (log (/ 1 N)))
(+ (* -2 (log (/ 1 N))) (/ 1 N))
(- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))
(- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))
(* -2 (log (/ -1 N)))
(+ (* -2 (log (/ -1 N))) (/ 1 N))
(+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))
(+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))
N
(* N (+ 1 N))
(* N (+ 1 N))
(* N (+ 1 N))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ -1/3 N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/ -1/3 N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(/ 1/4 (pow N 3))
(/ 1/4 (pow N 3))
(/ 1/4 (pow N 3))
(/ 1/4 (pow N 3))
(/ 1/4 (pow N 3))
(/ 1/4 (pow N 3))
(/ 1/4 (pow N 3))
(/ 1/4 (pow N 3))
(/ 1/4 (pow N 3))
(/ 1/4 (pow N 3))
(/ 1/4 (pow N 3))
(/ 1/4 (pow N 3))
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow N 3)
(pow (log N) 2)
(+ (* -1 (pow N 2)) (pow (log N) 2))
(+ (* (pow N 2) (- N 1)) (pow (log N) 2))
(+ (* (pow N 2) (- (* N (+ 1 (* -11/12 N))) 1)) (pow (log N) 2))
(* 2 (/ (log (/ 1 N)) N))
(/ (- (* -1 (/ (+ 1 (log (/ 1 N))) N)) (* -2 (log (/ 1 N)))) N)
(/ (- (/ 1 (pow N 2)) (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N))))) N)
(/ (- (+ (* -1 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (pow N 3))) (/ 1 (pow N 2))) (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N))))) N)
(* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ 1 N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))
(* -1 (/ (- (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ 1 N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (* 11/12 (/ 1 N))) (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))
(* -1 (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)
(/ (- 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 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 N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* 1/2 N) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(/ -1 N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ -1 N)
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
(pow N 2)
(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(pow (log (/ 1 N)) 2)
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
Outputs
(/ -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 #s(literal -1/4 binary64) (*.f64 N #s(literal 1/3 binary64))) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))
(/.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N #s(literal -1/2 binary64))))) (pow.f64 N #s(literal 4 binary64)))
(/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))
(/.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64)))))) (pow.f64 N #s(literal 4 binary64)))
(/ 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) 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 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) 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)
(* -4 (pow N 4))
(*.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -4 binary64))
(* (pow N 4) (- (* -16/3 N) 4))
(*.f64 (pow.f64 N #s(literal 4 binary64)) (+.f64 #s(literal -4 binary64) (*.f64 N #s(literal -16/3 binary64))))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(*.f64 (pow.f64 N #s(literal 4 binary64)) (+.f64 #s(literal -4 binary64) (*.f64 N (+.f64 #s(literal -16/3 binary64) (*.f64 N #s(literal 8/9 binary64))))))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(*.f64 (pow.f64 N #s(literal 4 binary64)) (+.f64 #s(literal -4 binary64) (*.f64 N (+.f64 #s(literal -16/3 binary64) (*.f64 N (+.f64 #s(literal 8/9 binary64) (*.f64 N #s(literal -112/27 binary64))))))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N)))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
(*.f64 N (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(*.f64 N (*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))
(/ -1/4 (pow N 3))
(/.f64 #s(literal -1/4 binary64) (*.f64 N (*.f64 N N)))
(/ (- (* 1/3 N) 1/4) (pow N 3))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (*.f64 N N))
(/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))
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(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
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(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) 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)
(log N)
(log.f64 N)
(+ (log N) (* -1 N))
(-.f64 (log.f64 N) N)
(+ (log N) (* N (- (* 1/2 N) 1)))
(+.f64 (log.f64 N) (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N #s(literal 1/2 binary64)))))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(+.f64 (log.f64 N) (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N (+.f64 #s(literal 1/2 binary64) (*.f64 N #s(literal -1/3 binary64)))))))
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64)) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N) N) #s(literal -1 binary64))) N)
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)) (-.f64 #s(literal 0 binary64) N))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (* -1 N)))
(*.f64 N (*.f64 N (-.f64 #s(literal 1 binary64) N)))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(*.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N #s(literal 11/12 binary64))))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(*.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N (+.f64 #s(literal 11/12 binary64) (*.f64 N #s(literal -5/6 binary64))))))))
(pow (log (/ 1 N)) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))
(+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) N))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) N) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 (log.f64 N) (*.f64 N N)))))
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) N) (+.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 (log.f64 N) (*.f64 N N)))) (+.f64 (/.f64 (*.f64 (log.f64 N) #s(literal 2/3 binary64)) (*.f64 N (*.f64 N N))) (/.f64 #s(literal -1 binary64) (*.f64 N (*.f64 N N))))))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N)) N))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2 binary64)) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) N)) N)) N))

eval187.0ms (1.7%)

Memory
27.9MiB live, 293.8MiB allocated
Compiler

Compiled 36 575 to 4 031 computations (89% saved)

prune158.0ms (1.4%)

Memory
-32.7MiB live, 384.8MiB allocated
Pruning

39 alts after pruning (32 fresh and 7 done)

PrunedKeptTotal
New1 156181 174
Fresh141428
Picked235
Done246
Total1 174391 213
Accuracy
99.9%
Counts
1 213 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.2%
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 N)))
97.9%
(/.f64 (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) N) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) N)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) N))))) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) N)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) N)) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) N))))))) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) N)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) N)))))) N)
24.3%
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 8 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))))) (+.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 8 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 8 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))))) (*.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 8 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))))))))
93.7%
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))))
98.0%
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
98.0%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N))) N)
93.7%
(/.f64 (-.f64 N (*.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N))
97.0%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
94.0%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
97.0%
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
23.4%
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 N)) (*.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)))
98.0%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
24.7%
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
98.0%
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
94.0%
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
97.3%
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
94.5%
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
98.2%
(/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))))
85.1%
(/.f64 #s(literal 1 binary64) N)
23.2%
(-.f64 (log1p.f64 N) (log.f64 N))
23.3%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
21.8%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
21.6%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (/.f64 (log.f64 N) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
21.7%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
21.1%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N)) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
20.4%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (-.f64 (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64))) (log.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))))) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
23.3%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (log.f64 N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
26.7%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
26.2%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (log.f64 (/.f64 (-.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
21.4%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N)) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
21.5%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log1p.f64 N))))))))
21.7%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (log.f64 N) (log1p.f64 N)))))
21.1%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
98.0%
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
97.0%
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N))
26.2%
(neg.f64 (log.f64 (/.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))) (+.f64 (*.f64 N N) #s(literal -1 binary64)))))
26.7%
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
26.2%
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
26.2%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
Compiler

Compiled 2 857 to 1 072 computations (62.5% saved)

simplify295.0ms (2.6%)

Memory
3.2MiB live, 447.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N))
cost-diff0
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N)) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N)) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))))))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N)) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
cost-diff0
(*.f64 N (+.f64 N #s(literal 1 binary64)))
cost-diff0
(log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
cost-diff13696
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
cost-diff0
(/.f64 #s(literal -1/2 binary64) N)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
cost-diff0
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)))
cost-diff0
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N))) N)
cost-diff0
(/.f64 #s(literal 1/2 binary64) N)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
cost-diff256
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
cost-diff0
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))))
cost-diff128
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
cost-diff256
(*.f64 N (*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))
Rules
4 678×accelerator-lowering-fma.f32
4 678×accelerator-lowering-fma.f64
3 226×*-lowering-*.f32
3 226×*-lowering-*.f64
2 226×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061517
1145511
2348470
31018462
43202454
57075454
08115430
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (* N (* -1 (- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N)))))
1
(* N (* -1 (- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N))))
N
(* -1 (- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N)))
-1
(- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N))
(/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N)
(- 1/2 (/ (+ 1/12 (/ -1/24 N)) N))
1/2
(/ (+ 1/12 (/ -1/24 N)) N)
(+ 1/12 (/ -1/24 N))
1/12
(/ -1/24 N)
-1/24
(/ 1 (* N (+ 1 (/ 1/2 N))))
1
(* N (+ 1 (/ 1/2 N)))
N
(+ 1 (/ 1/2 N))
(/ 1/2 N)
1/2
(/ (- (+ 1 (/ -1/2 N)) (/ (- (/ 1/4 N) 1/3) (* N N))) N)
(- (+ 1 (/ -1/2 N)) (/ (- (/ 1/4 N) 1/3) (* N N)))
(+ 1 (/ -1/2 N))
1
(/ -1/2 N)
-1/2
N
(/ (- (/ 1/4 N) 1/3) (* N N))
(- (/ 1/4 N) 1/3)
(/ 1/4 N)
1/4
1/3
(* N N)
(* (/ 1 (log (* N (+ N 1)))) (* (neg (log (/ N (+ 1 N)))) (log (* N (+ N 1)))))
(/ 1 (log (* N (+ N 1))))
1
(log (* N (+ N 1)))
(* N (+ N 1))
N
(+ N 1)
(* (neg (log (/ N (+ 1 N)))) (log (* N (+ N 1))))
(neg (log (/ N (+ 1 N))))
(log (/ N (+ 1 N)))
(/ N (+ 1 N))
(+ 1 N)
(* (/ 1 (- (log (* (+ 1 (* N (* N N))) N)) (log (+ 1 (* N (+ N -1)))))) (* (log (/ (+ N 1) N)) (/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ N (+ 1 N))))))
(/ 1 (- (log (* (+ 1 (* N (* N N))) N)) (log (+ 1 (* N (+ N -1))))))
1
(- (log (* (+ 1 (* N (* N N))) N)) (log (+ 1 (* N (+ N -1)))))
(log (* (+ 1 (* N (* N N))) N))
(* (+ 1 (* N (* N N))) N)
(+ 1 (* N (* N N)))
(* N (* N N))
N
(* N N)
(log (+ 1 (* N (+ N -1))))
(* N (+ N -1))
(+ N -1)
-1
(* (log (/ (+ N 1) N)) (/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ N (+ 1 N)))))
(log (/ (+ N 1) N))
(/ (+ N 1) N)
(+ N 1)
(/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ N (+ 1 N))))
(- (pow (log N) 2) (pow (log (+ 1 N)) 2))
(pow (log N) 2)
(log N)
2
(pow (log (+ 1 N)) 2)
(log (+ 1 N))
(log (/ N (+ 1 N)))
(/ N (+ 1 N))
(+ 1 N)
Outputs
(/ 1 (* N (* -1 (- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N)))))
(/.f64 #s(literal 1 binary64) (+.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))))
1
#s(literal 1 binary64)
(* N (* -1 (- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N))))
(+.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)))
N
(* -1 (- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N))
-1
#s(literal -1 binary64)
(- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N))
(/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)) N)
(- 1/2 (/ (+ 1/12 (/ -1/24 N)) N))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N))
1/2
#s(literal 1/2 binary64)
(/ (+ 1/12 (/ -1/24 N)) N)
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
(+ 1/12 (/ -1/24 N))
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
1/12
#s(literal 1/12 binary64)
(/ -1/24 N)
(/.f64 #s(literal -1/24 binary64) N)
-1/24
#s(literal -1/24 binary64)
(/ 1 (* N (+ 1 (/ 1/2 N))))
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(* N (+ 1 (/ 1/2 N)))
(+.f64 N #s(literal 1/2 binary64))
N
(+ 1 (/ 1/2 N))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
1/2
#s(literal 1/2 binary64)
(/ (- (+ 1 (/ -1/2 N)) (/ (- (/ 1/4 N) 1/3) (* N N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)))) N)
(- (+ 1 (/ -1/2 N)) (/ (- (/ 1/4 N) 1/3) (* N N)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))))
(+ 1 (/ -1/2 N))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))
1
#s(literal 1 binary64)
(/ -1/2 N)
(/.f64 #s(literal -1/2 binary64) N)
-1/2
#s(literal -1/2 binary64)
N
(/ (- (/ 1/4 N) 1/3) (* N N))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))
(- (/ 1/4 N) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(/ 1/4 N)
(/.f64 #s(literal 1/4 binary64) N)
1/4
#s(literal 1/4 binary64)
1/3
#s(literal 1/3 binary64)
(* N N)
(*.f64 N N)
(* (/ 1 (log (* N (+ N 1)))) (* (neg (log (/ N (+ 1 N)))) (log (* N (+ N 1)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(/ 1 (log (* N (+ N 1))))
(/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
1
#s(literal 1 binary64)
(log (* N (+ N 1)))
(log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(* N (+ N 1))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
N
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
(* (neg (log (/ N (+ 1 N)))) (log (* N (+ N 1))))
(-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(neg (log (/ N (+ 1 N))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(log (/ N (+ 1 N)))
(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
(/ N (+ 1 N))
(/.f64 N (+.f64 #s(literal 1 binary64) N))
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(* (/ 1 (- (log (* (+ 1 (* N (* N N))) N)) (log (+ 1 (* N (+ N -1)))))) (* (log (/ (+ N 1) N)) (/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ N (+ 1 N))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (-.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))))))
(/ 1 (- (log (* (+ 1 (* N (* N N))) N)) (log (+ 1 (* N (+ N -1))))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))))))
1
#s(literal 1 binary64)
(- (log (* (+ 1 (* N (* N N))) N)) (log (+ 1 (* N (+ N -1)))))
(-.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))
(log (* (+ 1 (* N (* N N))) N))
(log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))))
(* (+ 1 (* N (* N N))) N)
(*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))
(+ 1 (* N (* N N)))
(+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))
(* N (* N N))
(*.f64 N (*.f64 N N))
N
(* N N)
(*.f64 N N)
(log (+ 1 (* N (+ N -1))))
(log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))))
(* N (+ N -1))
(*.f64 N (+.f64 N #s(literal -1 binary64)))
(+ N -1)
(+.f64 N #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* (log (/ (+ N 1) N)) (/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ N (+ 1 N)))))
(*.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(log (/ (+ N 1) N))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(/ (+ N 1) N)
(+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
(/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ N (+ 1 N))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(- (pow (log N) 2) (pow (log (+ 1 N)) 2))
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(log N)
(log.f64 N)
2
#s(literal 2 binary64)
(pow (log (+ 1 N)) 2)
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(log (+ 1 N))
(log1p.f64 N)
(log (/ N (+ 1 N)))
(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
(/ N (+ 1 N))
(/.f64 N (+.f64 #s(literal 1 binary64) N))
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)

localize349.0ms (3.1%)

Memory
31.5MiB live, 702.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy27.5%
(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
accuracy26.8%
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
accuracy24.4%
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
accuracy99.3%
(*.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
accuracy99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
accuracy27.5%
(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
accuracy99.9%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N)))
accuracy99.8%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N))) N)
accuracy99.8%
(-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64))
accuracy99.5%
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N))
accuracy100.0%
(/.f64 #s(literal 1/2 binary64) N)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
accuracy99.8%
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
accuracy99.8%
(*.f64 N (*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))
accuracy99.7%
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
accuracy99.5%
(/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)
accuracy99.4%
(/.f64 #s(literal -1/24 binary64) N)
Samples
211.0ms195×1valid
29.0ms59×0valid
4.0ms5exit
Compiler

Compiled 500 to 62 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 197.0ms
ival-div: 39.0ms (19.8% of total)
ival-log: 37.0ms (18.8% of total)
ival-mult: 31.0ms (15.7% of total)
...in/eval/compile.rkt:111:19: 25.0ms (12.7% of total)
ival-log1p: 15.0ms (7.6% of total)
ival-add: 14.0ms (7.1% of total)
adjust: 13.0ms (6.6% of total)
ival-sub: 12.0ms (6.1% of total)
ival-pow2: 8.0ms (4.1% of total)
ival-neg: 2.0ms (1% of total)
...in/eval/compile.rkt:110:19: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory
-3.5MiB live, 77.1MiB allocated
Counts
30 → 360
Calls
Call 1
Inputs
#<alt (* N (* -1 (- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N))))>
#<alt (* -1 (- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N)))>
#<alt (/ 1 (* N (* -1 (- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N)))))>
#<alt (- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N))>
#<alt (* N (+ 1 (/ 1/2 N)))>
#<alt (/ 1 (* N (+ 1 (/ 1/2 N))))>
#<alt (+ 1 (/ 1/2 N))>
#<alt (/ 1/2 N)>
#<alt (/ (- (+ 1 (/ -1/2 N)) (/ (- (/ 1/4 N) 1/3) (* N N))) N)>
#<alt (- (+ 1 (/ -1/2 N)) (/ (- (/ 1/4 N) 1/3) (* N N)))>
#<alt (+ 1 (/ -1/2 N))>
#<alt (/ -1/2 N)>
#<alt (* (/ 1 (log (* N (+ N 1)))) (* (neg (log (/ N (+ 1 N)))) (log (* N (+ N 1)))))>
#<alt (/ 1 (log (* N (+ N 1))))>
#<alt (log (* N (+ N 1)))>
#<alt (* N (+ N 1))>
#<alt (* (/ 1 (- (log (* (+ 1 (* N (* N N))) N)) (log (+ 1 (* N (+ N -1)))))) (* (log (/ (+ N 1) N)) (/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ N (+ 1 N))))))>
#<alt (/ 1 (- (log (* (+ 1 (* N (* N N))) N)) (log (+ 1 (* N (+ N -1))))))>
#<alt (- (log (* (+ 1 (* N (* N N))) N)) (log (+ 1 (* N (+ N -1)))))>
#<alt (log (* (+ 1 (* N (* N N))) N))>
#<alt (/ -1/24 N)>
#<alt (/ (+ 1/12 (/ -1/24 N)) N)>
#<alt (+ 1/12 (/ -1/24 N))>
#<alt (/ (- (/ 1/4 N) 1/3) (* N N))>
#<alt (- (/ 1/4 N) 1/3)>
#<alt (log (/ N (+ 1 N)))>
#<alt (* (neg (log (/ N (+ 1 N)))) (log (* N (+ N 1))))>
#<alt (- (pow (log N) 2) (pow (log (+ 1 N)) 2))>
#<alt (log (/ (+ N 1) N))>
#<alt (pow (log (+ 1 N)) 2)>
Outputs
#<alt (/ 1/24 (pow N 2))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))>
#<alt (/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))>
#<alt (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))>
#<alt (* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))>
#<alt (/ 1/24 (pow N 3))>
#<alt (/ (+ 1/24 (* -1/12 N)) (pow N 3))>
#<alt (/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 3))>
#<alt (/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 3))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))>
#<alt (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N)))>
#<alt (* 24 (pow N 2))>
#<alt (* (pow N 2) (+ 24 (* 48 N)))>
#<alt (* (pow N 2) (+ 24 (* N (+ 48 (* -192 N)))))>
#<alt (* (pow N 2) (+ 24 (* N (+ 48 (* N (- (* -1536 N) 192))))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/24 (pow N 3))>
#<alt (/ (- (* 1/12 N) 1/24) (pow N 3))>
#<alt (/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))>
#<alt (/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 3))>
#<alt -1>
#<alt (* -1 (+ 1 (* 1/2 (/ 1 N))))>
#<alt (- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))>
#<alt (- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 1/2 (/ 1 N))))>
#<alt (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)>
#<alt (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)>
#<alt 1/2>
#<alt (+ 1/2 N)>
#<alt (+ 1/2 N)>
#<alt (+ 1/2 N)>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt N>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt (* N (+ 1 (* 1/2 (/ 1 N))))>
#<alt 2>
#<alt (+ 2 (* -4 N))>
#<alt (+ 2 (* N (- (* 8 N) 4)))>
#<alt (+ 2 (* N (- (* N (+ 8 (* -16 N))) 4)))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/4 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/4 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 N)) 1/4) N)) 1/2) N)) 1) N))>
#<alt (/ 1/2 N)>
#<alt (/ (+ 1/2 N) N)>
#<alt (/ (+ 1/2 N) N)>
#<alt (/ (+ 1/2 N) N)>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* 1/2 (/ 1 N)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* 1/2 (/ 1 N)))>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ 1/2 N)>
#<alt (/ -1/4 (pow N 4))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 4))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 4))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ -1/4 (pow N 3))>
#<alt (/ (- (* 1/3 N) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* -1/2 N))) 1/4) (pow N 3))>
#<alt (/ (- (* N (+ 1/3 (* N (- N 1/2)))) 1/4) (pow N 3))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N)))>
#<alt (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N)))>
#<alt (/ -1/2 N)>
#<alt (/ (- N 1/2) N)>
#<alt (/ (- N 1/2) N)>
#<alt (/ (- N 1/2) N)>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (- 1 (* 1/2 (/ 1 N)))>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (/ -1/2 N)>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/ 1 (log N))>
#<alt (+ (* -1 (/ N (pow (log N) 2))) (/ 1 (log N)))>
#<alt (+ (* N (- (* N (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3)))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))>
#<alt (+ (* N (- (* N (+ (* -1 (* N (+ (* 1/3 (/ 1 (pow (log N) 2))) (+ (/ 1 (pow (log N) 3)) (/ 1 (pow (log N) 4)))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))>
#<alt (/ -1/2 (log (/ 1 N)))>
#<alt (* -1 (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ 1 N)) 2))))))>
#<alt (- (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))))))>
#<alt (- (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 3))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))) (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 3)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (pow (log (/ 1 N)) 2))) (+ (/ 1/4 (* N (pow (log (/ 1 N)) 2))) (+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 3)))))))))>
#<alt (/ -1/2 (log (/ -1 N)))>
#<alt (* -1 (+ (* 1/2 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ -1 N)) 2))))))>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 3)))) N)) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N)))))>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (/ 1 (pow (log (/ -1 N)) 2))) (+ (* 1/16 (/ 1 (pow (log (/ -1 N)) 3))) (* 1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))))) N)) (* 1/8 (/ 1 (pow (log (/ -1 N)) 2)))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 3)))) N)) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N)))))>
#<alt (log N)>
#<alt (+ N (log N))>
#<alt (+ (log N) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (log N) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (* -2 (log (/ 1 N)))>
#<alt (+ (* -2 (log (/ 1 N))) (/ 1 N))>
#<alt (- (+ (* -2 (log (/ 1 N))) (/ 1 N)) (/ 1/2 (pow N 2)))>
#<alt (- (+ (* -2 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (/ 1/2 (pow N 2)))>
#<alt (* -2 (log (/ -1 N)))>
#<alt (+ (* -2 (log (/ -1 N))) (/ 1 N))>
#<alt (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N)))>
#<alt (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N)))>
#<alt N>
#<alt (* N (+ 1 N))>
#<alt (* N (+ 1 N))>
#<alt (* N (+ 1 N))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* -1 (log N))>
#<alt (+ (* -1 (log N)) (* N (- 1 (* -1 (/ (+ (log N) (* -1 (log N))) (log N))))))>
#<alt (+ (* -1 (log N)) (* N (- (+ 1 (* N (- (/ 1 (log N)) (+ 1/2 (+ (* -1 (/ (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1) (log N))) (/ (* (+ (log N) (* -1 (log N))) (- 1 (* -1 (/ (+ (log N) (* -1 (log N))) (log N))))) (pow (log N) 2))))))) (* -1 (/ (+ (log N) (* -1 (log N))) (log N))))))>
#<alt (+ (* -1 (log N)) (* N (- (+ 1 (* N (- (+ (* N (- 1/3 (+ (* -1 (/ (+ 1 (+ (* -1/3 (log N)) (* 1/3 (log N)))) (log N))) (+ (/ 1 (log N)) (+ (/ 1 (pow (log N) 2)) (+ (/ (* (+ (log N) (* -1 (log N))) (- (/ 1 (log N)) (+ 1/2 (+ (* -1 (/ (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1) (log N))) (/ (* (+ (log N) (* -1 (log N))) (- 1 (* -1 (/ (+ (log N) (* -1 (log N))) (log N))))) (pow (log N) 2)))))) (pow (log N) 2)) (/ (* (- 1 (* -1 (/ (+ (log N) (* -1 (log N))) (log N)))) (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1)) (pow (log N) 2)))))))) (/ 1 (log N))) (+ 1/2 (+ (* -1 (/ (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1) (log N))) (/ (* (+ (log N) (* -1 (log N))) (- 1 (* -1 (/ (+ (log N) (* -1 (log N))) (log N))))) (pow (log N) 2))))))) (* -1 (/ (+ (log N) (* -1 (log N))) (log N))))))>
#<alt (* -2 (/ (log (/ 1 N)) (* N (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))))))>
#<alt (/ (- (+ (* -2 (/ (log (/ 1 N)) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))))) (* -1 (/ (+ (* -1 (log (/ 1 N))) (* -1 (+ 1 (log (/ 1 N))))) (* N (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))))))) (* 2 (/ (* (log (/ 1 N)) (- (* 1/2 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) 1)) (* N (pow (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) 2))))) N)>
#<alt (/ (- (+ (* -2 (/ (log (/ 1 N)) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))))) (+ (* -1 (/ (+ (* -1 (log (/ 1 N))) (* -1 (+ 1 (log (/ 1 N))))) (* N (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))))) (* -1 (/ (- (+ 1 (+ (* 1/2 (+ 1 (log (/ 1 N)))) (* 2/3 (log (/ 1 N))))) (* -2/3 (log (/ 1 N)))) (* (pow N 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))))))) (+ (* -1 (/ (* (- (* -1 (/ (+ (* -1 (log (/ 1 N))) (* -1 (+ 1 (log (/ 1 N))))) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))))) (* 2 (/ (* (log (/ 1 N)) (- (* 1/2 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) 1)) (pow (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) 2)))) (- (* 1/2 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) 1)) (* (pow N 2) (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))))) (+ (* 2 (/ (* (log (/ 1 N)) (+ 1 (* -1/3 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))))) (* (pow N 2) (pow (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) 2)))) (* 2 (/ (* (log (/ 1 N)) (- (* 1/2 (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N))))) 1)) (* N (pow (- (* -4 (log (/ 1 N))) (* -2 (log (/ 1 N)))) 2))))))) N)>
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#<alt (/ (- (/ 1 (pow N 2)) (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N))))) N)>
#<alt (/ (- (+ (* -1 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (pow N 3))) (/ 1 (pow N 2))) (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N))))) N)>
#<alt (* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ 1 N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ 1 N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (* 11/12 (/ 1 N))) (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))>
#<alt (* -1 (log N))>
#<alt (+ N (* -1 (log N)))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))>
#<alt (+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))>
#<alt (/ 1 N)>
#<alt (/ (- 1 (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (* 1/2 (/ 1 N))) N)>
#<alt (/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (* -1 N)))>
#<alt (* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))>
#<alt (* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))>
#<alt (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
Calls

90 calls:

TimeVariablePointExpression
3.0ms
N
@-inf
(* (/ 1 (- (log (* (+ 1 (* N (* N N))) N)) (log (+ 1 (* N (+ N -1)))))) (* (log (/ (+ N 1) N)) (/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ N (+ 1 N))))))
3.0ms
N
@inf
(* (/ 1 (- (log (* (+ 1 (* N (* N N))) N)) (log (+ 1 (* N (+ N -1)))))) (* (log (/ (+ N 1) N)) (/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ N (+ 1 N))))))
3.0ms
N
@-inf
(* -1 (- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N)))
2.0ms
N
@inf
(/ 1 (- (log (* (+ 1 (* N (* N N))) N)) (log (+ 1 (* N (+ N -1))))))
1.0ms
N
@-inf
(/ 1 (- (log (* (+ 1 (* N (* N N))) N)) (log (+ 1 (* N (+ N -1))))))

rewrite398.0ms (3.5%)

Memory
5.1MiB live, 907.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 544×/-lowering-/.f32
4 544×/-lowering-/.f64
3 176×*-lowering-*.f32
3 176×*-lowering-*.f64
2 278×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061281
1411267
23747235
09287220
Stop Event
iter limit
node limit
Counts
30 → 1 123
Calls
Call 1
Inputs
(* N (* -1 (- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N))))
(* -1 (- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N)))
(/ 1 (* N (* -1 (- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N)))))
(- -1 (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) N))
(* N (+ 1 (/ 1/2 N)))
(/ 1 (* N (+ 1 (/ 1/2 N))))
(+ 1 (/ 1/2 N))
(/ 1/2 N)
(/ (- (+ 1 (/ -1/2 N)) (/ (- (/ 1/4 N) 1/3) (* N N))) N)
(- (+ 1 (/ -1/2 N)) (/ (- (/ 1/4 N) 1/3) (* N N)))
(+ 1 (/ -1/2 N))
(/ -1/2 N)
(* (/ 1 (log (* N (+ N 1)))) (* (neg (log (/ N (+ 1 N)))) (log (* N (+ N 1)))))
(/ 1 (log (* N (+ N 1))))
(log (* N (+ N 1)))
(* N (+ N 1))
(* (/ 1 (- (log (* (+ 1 (* N (* N N))) N)) (log (+ 1 (* N (+ N -1)))))) (* (log (/ (+ N 1) N)) (/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ N (+ 1 N))))))
(/ 1 (- (log (* (+ 1 (* N (* N N))) N)) (log (+ 1 (* N (+ N -1))))))
(- (log (* (+ 1 (* N (* N N))) N)) (log (+ 1 (* N (+ N -1)))))
(log (* (+ 1 (* N (* N N))) N))
(/ -1/24 N)
(/ (+ 1/12 (/ -1/24 N)) N)
(+ 1/12 (/ -1/24 N))
(/ (- (/ 1/4 N) 1/3) (* N N))
(- (/ 1/4 N) 1/3)
(log (/ N (+ 1 N)))
(* (neg (log (/ N (+ 1 N)))) (log (* N (+ N 1))))
(- (pow (log N) 2) (pow (log (+ 1 N)) 2))
(log (/ (+ N 1) N))
(pow (log (+ 1 N)) 2)
Outputs
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
(+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) N)) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) N) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (-.f64 #s(literal 0 binary64) N)))
(fma.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
(neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) N))
(neg.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))))
(/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (*.f64 N (*.f64 N N))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N N)))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (*.f64 N (*.f64 N N)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N N))))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))
(pow.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) #s(literal -1 binary64))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
(*.f64 N (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) N))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) (-.f64 #s(literal 0 binary64) N))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) N)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) (/.f64 N #s(literal 1 binary64)))
(*.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
(*.f64 (-.f64 #s(literal 0 binary64) N) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)) #s(literal 1 binary64)))
(*.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
(neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (*.f64 N (*.f64 N N)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))) (*.f64 N N))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (*.f64 N (*.f64 N N))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) (*.f64 N (*.f64 N N))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))))))
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(+.f64 (*.f64 (log.f64 N) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (log1p.f64 N) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(fma.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 N) (*.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log1p.f64 N)))
(fma.f64 (log.f64 N) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (*.f64 (log1p.f64 N) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(fma.f64 (log.f64 N) (log.f64 N) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(fma.f64 (log1p.f64 N) (-.f64 #s(literal 0 binary64) (log1p.f64 N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N)) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (-.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))))))
(pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64)))) #s(literal -1 binary64))
(*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(*.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(+.f64 (log1p.f64 N) (-.f64 #s(literal 0 binary64) (log.f64 N)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) N))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N))))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) (log1p.f64 N))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N))) (log.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log1p.f64 (*.f64 N (*.f64 N N))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
(-.f64 (log1p.f64 (*.f64 N (*.f64 N N))) (log.f64 (*.f64 N (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) N))) (log.f64 (-.f64 #s(literal 0 binary64) N)))
(-.f64 (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64))) (log.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (log.f64 (*.f64 N (-.f64 #s(literal 1 binary64) N))))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) (-.f64 #s(literal 0 binary64) (log1p.f64 N)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) N)))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) N))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)) N)))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))) N)))
(-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) N)))
(-.f64 (log.f64 (*.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) N))) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) N))) (log.f64 (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))
(-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N))) (log.f64 (+.f64 N #s(literal -1 binary64))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))) (log.f64 (-.f64 #s(literal 1 binary64) N)))
(fma.f64 #s(literal -1 binary64) (log.f64 N) (log1p.f64 N))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 N)))
(fma.f64 (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 N)))
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.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 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64)) (pow.f64 (log.f64 N) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(*.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal -1 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))) #s(literal 1 binary64)))
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log1p.f64 N)))
(*.f64 (log1p.f64 N) (log1p.f64 N))

simplify526.0ms (4.7%)

Memory
-22.4MiB live, 708.7MiB allocated
Algorithm
egg-herbie
Rules
8 788×accelerator-lowering-fma.f32
8 788×accelerator-lowering-fma.f64
4 974×*-lowering-*.f32
4 974×*-lowering-*.f64
4 676×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08895739
127795124
085234928
Stop Event
iter limit
node limit
Counts
360 → 360
Calls
Call 1
Inputs
(/ 1/24 (pow N 2))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(/ 1/24 (pow N 3))
(/ (+ 1/24 (* -1/12 N)) (pow N 3))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 3))
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 3))
1
(+ 1 (* 1/2 (/ 1 N)))
(- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))
(- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2)))
1
(+ 1 (* 1/2 (/ 1 N)))
(+ 1 (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N)))
(* 24 (pow N 2))
(* (pow N 2) (+ 24 (* 48 N)))
(* (pow N 2) (+ 24 (* N (+ 48 (* -192 N)))))
(* (pow N 2) (+ 24 (* N (+ 48 (* N (- (* -1536 N) 192))))))
(/ 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 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))
(/ -1/24 (pow N 3))
(/ (- (* 1/12 N) 1/24) (pow N 3))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 3))
-1
(* -1 (+ 1 (* 1/2 (/ 1 N))))
(- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))
(- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))))
-1
(* -1 (+ 1 (* 1/2 (/ 1 N))))
(- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)
(- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)
1/2
(+ 1/2 N)
(+ 1/2 N)
(+ 1/2 N)
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (+ 1 (* 1/2 (/ 1 N))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (+ 1 (* 1/2 (/ 1 N))))
(* N (+ 1 (* 1/2 (/ 1 N))))
2
(+ 2 (* -4 N))
(+ 2 (* N (- (* 8 N) 4)))
(+ 2 (* N (- (* N (+ 8 (* -16 N))) 4)))
(/ 1 N)
(/ (- 1 (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/4 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/ (- (+ 1 (/ 1/4 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))) N)
(/ 1 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 N)) 1/4) N)) 1/2) N)) 1) N))
(/ 1/2 N)
(/ (+ 1/2 N) N)
(/ (+ 1/2 N) N)
(/ (+ 1/2 N) N)
1
(+ 1 (* 1/2 (/ 1 N)))
(+ 1 (* 1/2 (/ 1 N)))
(+ 1 (* 1/2 (/ 1 N)))
1
(+ 1 (* 1/2 (/ 1 N)))
(+ 1 (* 1/2 (/ 1 N)))
(+ 1 (* 1/2 (/ 1 N)))
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 N)
(/ 1/2 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))
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(+ (log N) (pow N 3))
(+ (log N) (* (pow N 3) (+ 1 (* -1/2 (pow N 3)))))
(+ (log N) (* (pow N 3) (+ 1 (* (pow N 3) (- (* 1/3 (pow N 3)) 1/2)))))
(* -4 (log (/ 1 N)))
(+ (* -4 (log (/ 1 N))) (/ 1 (pow N 3)))
(- (+ (* -4 (log (/ 1 N))) (/ 1 (pow N 3))) (/ 1/2 (pow N 6)))
(- (+ (* -4 (log (/ 1 N))) (+ (/ 1 (pow N 3)) (* 1/3 (/ 1 (pow N 9))))) (/ 1/2 (pow N 6)))
(* -4 (log (/ -1 N)))
(+ (* -4 (log (/ -1 N))) (/ 1 (pow N 3)))
(+ (* -4 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 (pow N 3))) 1) (pow N 3))))
(+ (* -4 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (pow N 3))) 1/2) (pow N 3))) 1) (pow N 3))))
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ (- (* 1/12 N) 1/24) (pow N 2))
(/ 1/12 N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(/ (- 1/12 (* 1/24 (/ 1 N))) N)
(/ 1/12 N)
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N))
(/ -1/24 N)
(/ (- (* 1/12 N) 1/24) N)
(/ (- (* 1/12 N) 1/24) N)
(/ (- (* 1/12 N) 1/24) N)
1/12
(- 1/12 (* 1/24 (/ 1 N)))
(- 1/12 (* 1/24 (/ 1 N)))
(- 1/12 (* 1/24 (/ 1 N)))
1/12
(- 1/12 (* 1/24 (/ 1 N)))
(- 1/12 (* 1/24 (/ 1 N)))
(- 1/12 (* 1/24 (/ 1 N)))
(/ 1/4 (pow N 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ -1/3 (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ -1/3 (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ (- (* 1/4 (/ 1 N)) 1/3) (pow N 2))
(/ 1/4 N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/ (+ 1/4 (* -1/3 N)) N)
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
-1/3
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(- (* 1/4 (/ 1 N)) 1/3)
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* 1/2 N) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (* -1/3 N))) 1)))
(/ -1 N)
(/ (- (* 1/2 (/ 1 N)) 1) N)
(/ (- (* 1/2 (/ 1 N)) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
(/ -1 N)
(* -1 (/ (- 1 (* 1/2 (/ 1 N))) N))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 N))) N))) N))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
(* -1 (pow (log N) 2))
(+ (* -1 (* N (+ (log N) (* -1 (log N))))) (* -1 (pow (log N) 2)))
(+ (* -1 (pow (log N) 2)) (* N (+ (* -1 (* N (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1))) (* -1 (+ (log N) (* -1 (log N)))))))
(+ (* -1 (pow (log N) 2)) (* N (+ (* -1 (+ (log N) (* -1 (log N)))) (* N (+ (* -1 (* N (+ 1 (+ (* -1/3 (log N)) (* 1/3 (log N)))))) (* -1 (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1)))))))
(* -2 (/ (log (/ 1 N)) N))
(/ (+ (* -2 (log (/ 1 N))) (* -1 (/ (- (* -1 (log (/ 1 N))) 1) N))) N)
(/ (+ (* -2 (log (/ 1 N))) (+ (* -1 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (pow N 2))) (* -1 (/ (- (* -1 (log (/ 1 N))) 1) N)))) N)
(/ (+ (* -2 (log (/ 1 N))) (+ (* -1 (/ (+ 1 (* 2/3 (log (/ 1 N)))) (pow N 2))) (+ (* -1 (/ (- (* -1 (log (/ 1 N))) 1) N)) (* -1 (/ (- (* -1/2 (log (/ 1 N))) 11/12) (pow N 3)))))) N)
(* -2 (/ (log (/ -1 N)) N))
(* -1 (/ (- (+ (* -1 (/ (log (/ -1 N)) N)) (* 2 (log (/ -1 N)))) (/ 1 N)) N))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* -1 (log (/ -1 N))) 1)) (* -2/3 (/ (log (/ -1 N)) N))) (/ 1 N)) N)) (* 2 (log (/ -1 N)))) N))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (log (/ -1 N))) 1)) (* -1 (/ (- (+ (* -1 (- (* -2/3 (log (/ -1 N))) 1)) (* -1/2 (/ (log (/ -1 N)) N))) (* 11/12 (/ 1 N))) N))) N)) (* 2 (log (/ -1 N)))) N))
(pow (log N) 2)
(+ (* -1 (pow N 2)) (pow (log N) 2))
(+ (* (pow N 2) (- N 1)) (pow (log N) 2))
(+ (* (pow N 2) (- (* N (+ 1 (* -11/12 N))) 1)) (pow (log N) 2))
(* 2 (/ (log (/ 1 N)) N))
(/ (- (* -1 (/ (+ 1 (log (/ 1 N))) N)) (* -2 (log (/ 1 N)))) N)
(/ (- (/ 1 (pow N 2)) (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N))))) N)
(/ (- (+ (* -1 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (pow N 3))) (/ 1 (pow N 2))) (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N))))) N)
(* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ 1 N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))
(* -1 (/ (- (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ 1 N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (* 11/12 (/ 1 N))) (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))
(* -1 (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)
(/ (- 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 N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N)) 1) N))
(pow N 2)
(* (pow N 2) (+ 1 (* -1 N)))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(pow (log (/ 1 N)) 2)
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
Outputs
(/ 1/24 (pow N 2))
(/.f64 #s(literal 1/24 binary64) (*.f64 N N))
(/ (+ 1/24 (* -1/12 N)) (pow N 2))
(/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N #s(literal -1/12 binary64))) (*.f64 N N))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 2))
(/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N (+.f64 (*.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)))) (*.f64 N N))
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))
(/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2))))
(*.f64 N (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/12 binary64) (*.f64 N N)))))
(* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2))))
(*.f64 N (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/12 binary64) (*.f64 N N))))))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(* -1 (* N (- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(* -1 (* N (- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(/ 1/24 (pow N 3))
(/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N)))
(/ (+ 1/24 (* -1/12 N)) (pow N 3))
(/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N #s(literal -1/12 binary64))) (*.f64 N (*.f64 N N)))
(/ (+ 1/24 (* N (- (* 1/2 N) 1/12))) (pow N 3))
(/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N (+.f64 (*.f64 N #s(literal 1/2 binary64)) #s(literal -1/12 binary64)))) (*.f64 N (*.f64 N N)))
(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 3))
(/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N (*.f64 N N)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(- (+ 1 (* 1/2 (/ 1 N))) (/ 1/12 (pow N 2)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal -1/12 binary64) (*.f64 N N))))
(- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))) (/ 1/12 (pow N 2)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/12 binary64) (*.f64 N 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 (/ (- (* 1/12 (/ 1 N)) 1/2) N)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) N) #s(literal 1/2 binary64)) N))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ 1 N)) 1/12) N)) 1/2) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/24 binary64) N) #s(literal 1/12 binary64)) N) #s(literal -1/2 binary64)) N))
(* 24 (pow N 2))
(*.f64 (*.f64 N N) #s(literal 24 binary64))
(* (pow N 2) (+ 24 (* 48 N)))
(*.f64 (*.f64 N N) (+.f64 #s(literal 24 binary64) (*.f64 N #s(literal 48 binary64))))
(* (pow N 2) (+ 24 (* N (+ 48 (* -192 N)))))
(*.f64 (*.f64 N N) (+.f64 #s(literal 24 binary64) (*.f64 N (+.f64 #s(literal 48 binary64) (*.f64 N #s(literal -192 binary64))))))
(* (pow N 2) (+ 24 (* N (+ 48 (* N (- (* -1536 N) 192))))))
(*.f64 (*.f64 N N) (+.f64 #s(literal 24 binary64) (*.f64 N (+.f64 #s(literal 48 binary64) (*.f64 N (+.f64 (*.f64 N #s(literal -1536 binary64)) #s(literal -192 binary64)))))))
(/ 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 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) (/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N N)))) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -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)) (-.f64 #s(literal 0 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)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(/ -1/24 (pow N 3))
(/.f64 #s(literal -1/24 binary64) (*.f64 N (*.f64 N N)))
(/ (- (* 1/12 N) 1/24) (pow N 3))
(/.f64 (+.f64 (*.f64 N #s(literal 1/12 binary64)) #s(literal -1/24 binary64)) (*.f64 N (*.f64 N N)))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/.f64 (+.f64 (*.f64 N (+.f64 #s(literal 1/12 binary64) (*.f64 N #s(literal -1/2 binary64)))) #s(literal -1/24 binary64)) (*.f64 N (*.f64 N N)))
(/ (- (* N (+ 1/12 (* N (- (* -1 N) 1/2)))) 1/24) (pow N 3))
(/.f64 (+.f64 (*.f64 N (+.f64 #s(literal 1/12 binary64) (*.f64 N (+.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1/2 binary64))))) #s(literal -1/24 binary64)) (*.f64 N (*.f64 N N)))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 1/2 (/ 1 N))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(- (/ 1/12 (pow N 2)) (+ 1 (* 1/2 (/ 1 N))))
(+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N)))
(- (/ 1/12 (pow N 2)) (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/24 (/ 1 (pow N 3))))))
(-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))) (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 1/2 (/ 1 N))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) N))
(- (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N)) 1)
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/12 binary64) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64))
(- (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N)) 1)
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 N)
(+.f64 N #s(literal 1/2 binary64))
(+ 1/2 N)
(+.f64 N #s(literal 1/2 binary64))
(+ 1/2 N)
(+.f64 N #s(literal 1/2 binary64))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(* N (+ 1 (* 1/2 (/ 1 N))))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(* N (+ 1 (* 1/2 (/ 1 N))))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(* N (+ 1 (* 1/2 (/ 1 N))))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(* N (+ 1 (* 1/2 (/ 1 N))))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
2
#s(literal 2 binary64)
(+ 2 (* -4 N))
(+.f64 #s(literal 2 binary64) (*.f64 N #s(literal -4 binary64)))
(+ 2 (* N (- (* 8 N) 4)))
(+.f64 #s(literal 2 binary64) (*.f64 N (+.f64 (*.f64 N #s(literal 8 binary64)) #s(literal -4 binary64))))
(+ 2 (* N (- (* N (+ 8 (* -16 N))) 4)))
(+.f64 #s(literal 2 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 #s(literal 8 binary64) (*.f64 N #s(literal -16 binary64)))) #s(literal -4 binary64))))
(/ 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 (/ 1/4 (pow N 2))) (* 1/2 (/ 1 N))) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
(/ (- (+ 1 (/ 1/4 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/8 (/ 1 (pow N 3))))) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N N)))))) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal 1 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/2) N)) 1) N))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 N)) 1/4) N)) 1/2) N)) 1) N))
(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) N) #s(literal -1/4 binary64)) N)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ (+ 1/2 N) N)
(/.f64 (+.f64 N #s(literal 1/2 binary64)) N)
(/ (+ 1/2 N) N)
(/.f64 (+.f64 N #s(literal 1/2 binary64)) N)
(/ (+ 1/2 N) N)
(/.f64 (+.f64 N #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 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(+ 1 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.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 (* 1/2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
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(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (/.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -2/3 binary64)) N) (+.f64 (+.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) N))) N)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (log (/ -1 N))) 1)) (* -1 (/ (- (+ (* -1 (- (* -2/3 (log (/ -1 N))) 1)) (* -1/2 (/ (log (/ -1 N)) N))) (* 11/12 (/ 1 N))) N))) N)) (* 2 (log (/ -1 N)))) N))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 1 binary64)) (/.f64 (+.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))) N) (/.f64 #s(literal -11/12 binary64) N))) N)) N)) (-.f64 #s(literal 0 binary64) N))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(+ (* -1 (pow N 2)) (pow (log N) 2))
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 N N))
(+ (* (pow N 2) (- N 1)) (pow (log N) 2))
(+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 N (*.f64 N (+.f64 N #s(literal -1 binary64)))))
(+ (* (pow N 2) (- (* N (+ 1 (* -11/12 N))) 1)) (pow (log N) 2))
(+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (*.f64 (*.f64 N N) (+.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal -11/12 binary64)))) #s(literal -1 binary64))))
(* 2 (/ (log (/ 1 N)) N))
(/.f64 (*.f64 (log.f64 N) #s(literal -2 binary64)) N)
(/ (- (* -1 (/ (+ 1 (log (/ 1 N))) N)) (* -2 (log (/ 1 N)))) N)
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (log.f64 N)) N) (*.f64 (log.f64 N) #s(literal -2 binary64))) N)
(/ (- (/ 1 (pow N 2)) (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N))))) N)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 (log.f64 N) #s(literal -2 binary64))) (+.f64 (neg.f64 (/.f64 (log.f64 N) N)) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (*.f64 (log.f64 N) #s(literal 2/3 binary64)) (*.f64 N N))))) N)
(/ (- (+ (* -1 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (pow N 3))) (/ 1 (pow N 2))) (+ (* -2 (log (/ 1 N))) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 N) (/ (log (/ 1 N)) N))))) N)
(/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 N)) #s(literal -11/12 binary64)) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 (log.f64 N) #s(literal -2 binary64))) (+.f64 (neg.f64 (/.f64 (log.f64 N) N)) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (*.f64 (log.f64 N) #s(literal 2/3 binary64)) (*.f64 N N))))) N)
(* -2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N)
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ 1 N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) N)) (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (- (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (/ 1 N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 (*.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))))) N)) (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (* 11/12 (/ 1 N))) (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -2 (+ (log -1) (* -1 (log (/ -1 N)))))) N))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 11/12 binary64) N) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))))) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (-.f64 #s(literal 0 binary64) N)) (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (-.f64 #s(literal 0 binary64) N))
(* -1 (log N))
(-.f64 #s(literal 0 binary64) (log.f64 N))
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal -1/2 binary64)))) (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* N (- (* 1/3 N) 1/2)))))
(-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (*.f64 N #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (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 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
(/ (- (+ 1 (/ 1/3 (pow N 2))) (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3))))) N)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) (/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N N)))) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -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)) (-.f64 #s(literal 0 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)) (-.f64 #s(literal 0 binary64) N)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (* -1 N)))
(*.f64 N (*.f64 N (-.f64 #s(literal 1 binary64) N)))
(* (pow N 2) (+ 1 (* N (- (* 11/12 N) 1))))
(*.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (*.f64 N #s(literal 11/12 binary64)) #s(literal -1 binary64)))))
(* (pow N 2) (+ 1 (* N (- (* N (+ 11/12 (* -5/6 N))) 1))))
(*.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 #s(literal 11/12 binary64) (*.f64 N #s(literal -5/6 binary64)))) #s(literal -1 binary64)))))
(pow (log (/ 1 N)) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(+ (* -2 (/ (log (/ 1 N)) N)) (pow (log (/ 1 N)) 2))
(+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) N))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) N) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))))
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (pow N 3)))
(+.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) N) (/.f64 (*.f64 (log.f64 N) #s(literal 2/3 binary64)) (*.f64 N (*.f64 N N)))) (-.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))))
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) N)) N))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) N)))) N))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))))) N)) N)) N))

eval404.0ms (3.6%)

Memory
33.5MiB live, 341.2MiB allocated
Compiler

Compiled 59 747 to 5 371 computations (91% saved)

prune433.0ms (3.9%)

Memory
-3.4MiB live, 449.6MiB allocated
Pruning

54 alts after pruning (44 fresh and 10 done)

PrunedKeptTotal
New1 668241 692
Fresh72027
Picked235
Done077
Total1 677541 731
Accuracy
99.9%
Counts
1 731 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.2%
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 N)))
97.6%
(pow.f64 (pow.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
98.2%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) N)
94.5%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) N)
98.1%
(/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
94.5%
(/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
24.3%
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 8 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))))) (+.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 8 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 8 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))))) (*.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 8 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))))))))
93.7%
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 N N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))))
98.0%
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
97.0%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 #s(literal -1/3 binary64) (*.f64 N N))) N)
93.7%
(/.f64 (-.f64 N (*.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N))
97.0%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
94.0%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
94.6%
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
23.4%
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 N)) (*.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (*.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))) (log.f64 N)))
98.0%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
98.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
98.0%
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
98.3%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))
94.6%
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
97.3%
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) N) #s(literal 1/2 binary64)) N))))
94.5%
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
98.2%
(/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (*.f64 N N))))))
85.1%
(/.f64 #s(literal 1 binary64) N)
23.2%
(-.f64 (log1p.f64 N) (log.f64 N))
23.3%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
21.8%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
21.6%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 N) (/.f64 (log.f64 N) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
21.7%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
21.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) (+.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
21.1%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))))) (/.f64 (pow.f64 (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
21.6%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N)) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log1p.f64 N))))))))
21.1%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N)) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
26.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))) (*.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
98.1%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (/.f64 #s(literal 1 binary64) N))
20.4%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (-.f64 (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64))) (log.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))))) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
23.3%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (log.f64 N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
26.7%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))) (log.f64 (*.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))) (-.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))) #s(literal 3 binary64)))))))
26.7%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (log.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N))) (log.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
26.7%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
26.7%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))) (-.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))))))))
26.7%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (neg.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
26.2%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (log.f64 (/.f64 (-.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
21.4%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N)) (log1p.f64 N) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
21.5%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log1p.f64 N))))))))
21.7%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (-.f64 (log.f64 N) (log1p.f64 N)))))
21.1%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
97.0%
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N))
26.2%
(neg.f64 (log.f64 (/.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))) (+.f64 (*.f64 N N) #s(literal -1 binary64)))))
26.7%
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
26.2%
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
26.2%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
93.8%
(exp.f64 (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))) #s(literal -1 binary64)))
9.8%
#s(literal 2 binary64)
Compiler

Compiled 4 975 to 1 371 computations (72.4% saved)

regimes80.0ms (0.7%)

Memory
-15.5MiB live, 60.1MiB allocated
Counts
86 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 N (*.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) N) #s(literal 1/2 binary64)) N))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 #s(literal -1/3 binary64) (*.f64 N N))) N)
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N))) N)
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
(/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) N)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))))
(/.f64 (/.f64 (+.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))) N)
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N)) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log1p.f64 N))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log1p.f64 N) #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) (+.f64 (+.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (pow.f64 (log1p.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 N (*.f64 N N)) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (*.f64 (*.f64 N (*.f64 N N)) (log.f64 (/.f64 #s(literal 1 binary64) N)))))) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 N))) (/.f64 (/.f64 #s(literal 1/4 binary64) N) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N N) (neg.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64))))) (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 N (*.f64 N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.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 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 (fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (+.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 8 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))))) (+.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 8 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 8 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))))) (*.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64))))) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 8 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.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 4 binary64)) (pow.f64 (log.f64 N) #s(literal 4 binary64)))))))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))
Calls

2 calls:

37.0ms
N
37.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
98.3%1N
98.3%1(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes10.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 N (*.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) N) #s(literal 1/2 binary64)) N))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 #s(literal -1/3 binary64) (*.f64 N N))) N)
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N))) N)
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
(/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) N)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))))
(/.f64 (/.f64 (+.f64 (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 N #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (*.f64 N (*.f64 N N))) N)
(/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (*.f64 N N))))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N N)))))) N)
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))))
Calls

1 calls:

8.0ms
N
Results
AccuracySegmentsBranch
98.2%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes58.0ms (0.5%)

Memory
-28.5MiB live, 11.5MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 N (*.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) N) #s(literal 1/2 binary64)) N))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 #s(literal -1/3 binary64) (*.f64 N N))) N)
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N))) N)
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
(/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) N)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) (/.f64 #s(literal 1 binary64) N))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) N)
Calls

1 calls:

56.0ms
N
Results
AccuracySegmentsBranch
98.2%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 N (*.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) N) #s(literal 1/2 binary64)) N))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 #s(literal -1/3 binary64) (*.f64 N N))) N)
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N))) N)
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
(/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
Calls

1 calls:

7.0ms
N
Results
AccuracySegmentsBranch
98.1%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 N (*.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) N) #s(literal 1/2 binary64)) N))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 #s(literal -1/3 binary64) (*.f64 N N))) N)
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N))) N)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal 1/3 binary64)) (*.f64 N N))) N)
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) (*.f64 N N)) #s(literal 1 binary64))) N)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
Calls

1 calls:

7.0ms
N
Results
AccuracySegmentsBranch
98.0%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 N (*.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) N) #s(literal 1/2 binary64)) N))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 #s(literal -1/3 binary64) (*.f64 N N))) N)
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
Calls

1 calls:

6.0ms
N
Results
AccuracySegmentsBranch
98.0%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes51.0ms (0.5%)

Memory
-27.0MiB live, 11.3MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 N (*.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) N) #s(literal 1/2 binary64)) N))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 #s(literal -1/3 binary64) (*.f64 N N))) N)
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
Calls

1 calls:

50.0ms
N
Results
AccuracySegmentsBranch
98.0%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 N (*.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) N) #s(literal 1/2 binary64)) N))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) (/.f64 #s(literal -1/3 binary64) (*.f64 N N))) N)
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N)))) N))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
Calls

1 calls:

5.0ms
N
Results
AccuracySegmentsBranch
97.3%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory
7.5MiB live, 7.5MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) N)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 N (*.f64 N (/.f64 #s(literal 1/2 binary64) N))) (*.f64 N N))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
Calls

1 calls:

4.0ms
N
Results
AccuracySegmentsBranch
97.0%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))))
(/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))) N)
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
Calls

1 calls:

3.0ms
N
Results
AccuracySegmentsBranch
94.6%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) N)
Outputs
(/.f64 #s(literal 1 binary64) N)
Calls

1 calls:

1.0ms
N
Results
AccuracySegmentsBranch
85.1%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
Outputs
#s(literal 2 binary64)
Calls

1 calls:

1.0ms
N
Results
AccuracySegmentsBranch
9.8%1N
Compiler

Compiled 2 to 1 computations (50% saved)

simplify140.0ms (1.2%)

Memory
-8.1MiB live, 67.8MiB allocated
Algorithm
egg-herbie
Rules
436×distribute-lft-neg-in_binary64
262×neg-mul-1_binary64
250×neg-sub0_binary64
224×distribute-neg-in_binary64
200×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064155
196154
2131151
3215150
4378150
5625150
6940150
71236150
81426150
91492150
101509150
111518150
121521150
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))
(/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) N)
(/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) N)
#s(literal 2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) N) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))
(/.f64 #s(literal 1 binary64) (-.f64 N (*.f64 N (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))
(/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N))) N)
(/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 N (+.f64 (*.f64 N (+.f64 N #s(literal 1/2 binary64))) #s(literal -1/12 binary64)))) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)) N)) N)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/12 binary64) N)) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) N)
#s(literal 2 binary64)

soundness1.1s (9.6%)

Memory
13.3MiB live, 797.8MiB allocated
Rules
11 472×accelerator-lowering-fma.f32
11 472×accelerator-lowering-fma.f64
8 788×accelerator-lowering-fma.f32
8 788×accelerator-lowering-fma.f64
5 974×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061281
1411267
23747235
09287220
088348
1250302
2588301
31587295
44201287
56272287
67327287
08056278
06224120
119383743
265503703
081463551
08895739
127795124
085234928
038173
1245171
22304171
08755151
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 386 to 231 computations (40.2% saved)

preprocess137.0ms (1.2%)

Memory
9.0MiB live, 293.7MiB allocated
Compiler

Compiled 398 to 184 computations (53.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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