2log (problem 3.3.6)

Time bar (total: 14.4s)

analyze0.0ms (0%)

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)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-log: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival->: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)

sample1.9s (13.1%)

Results
1.5s7027×1valid
96.0ms1229×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-log: 533.0ms (50.3% of total)
backward-pass: 158.0ms (14.9% of total)
ival-add: 133.0ms (12.5% of total)
ival-sub: 92.0ms (8.7% of total)
ival->: 68.0ms (6.4% of total)
ival-and: 29.0ms (2.7% of total)
ival-<: 26.0ms (2.5% of total)
const: 21.0ms (2% of total)
Bogosity

preprocess49.0ms (0.3%)

Algorithm
egg-herbie
Rules
270×sum3-define
244×fnmadd-define
184×fmsub-define
168×fnmsub-define
168×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01226
13320
26219
310819
419919
539819
659019
776619
885819
996419
10104219
11104819
067
1155
2205
3275
4375
5695
61275
72155
83005
94065
104845
114905
04905
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))
(- (log1p N) (log N))
(- (log (+ (neg N) 1)) (log (neg N)))
(- (log1p (neg N)) (log (neg N)))
(neg (- (log (+ (neg N) 1)) (log (neg N))))
(- (log (neg N)) (log1p (neg N)))

explain167.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2472(78.38206142704476)5(15.164583708957485)(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
00-0-(log.f64 (+.f64 N #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(+.f64 N #s(literal 1 binary64))
00-0-(log.f64 N)
00-0-N
Results
124.0ms424×1valid
8.0ms88×0valid
Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-log: 41.0ms (62.9% of total)
backward-pass: 10.0ms (15.3% of total)
ival-add: 7.0ms (10.7% of total)
ival-sub: 5.0ms (7.7% of total)
const: 2.0ms (3.1% of total)

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
26.1%
(-.f64 (log1p.f64 N) (log.f64 N))
26.1%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify17.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 N)
cost-diff0
(log1p.f64 N)
cost-diff0
(-.f64 (log1p.f64 N) (log.f64 N))
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
124×fnmadd-define
122×sum3-define
80×fma-lowering-fma.f32
80×fnmsub-define
80×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
12124
22524
33224
44224
57424
613224
721924
830324
940924
1048724
1149324
049324
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (log (+ N 1)) (log N))
(log (+ N 1))
(+ N 1)
N
1
(log N)
(- (log (+ 1 N)) (log N))
(log (+ 1 N))
N
(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)
(- (log (+ 1 N)) (log N))
(-.f64 (log1p.f64 N) (log.f64 N))
(log (+ 1 N))
(log1p.f64 N)
N
(log N)
(log.f64 N)

localize324.0ms (2.3%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 N)
accuracy100.0%
(log1p.f64 N)
accuracy98.6%
(-.f64 (log1p.f64 N) (log.f64 N))
accuracy100.0%
(+.f64 N #s(literal 1 binary64))
accuracy100.0%
(log.f64 N)
accuracy100.0%
(log.f64 (+.f64 N #s(literal 1 binary64)))
accuracy98.6%
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
298.0ms223×5exit
5.0ms33×0valid
Compiler

Compiled 30 to 9 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 215.0ms
ival-log: 126.0ms (58.7% of total)
backward-pass: 45.0ms (21% of total)
compiled-spec: 19.0ms (8.9% of total)
ival-sub: 15.0ms (7% of total)
ival-add: 8.0ms (3.7% of total)
const: 1.0ms (0.5% of total)

series69.0ms (0.5%)

Counts
6 → 72
Calls
Call 1
Inputs
#<alt (log (+ N 1))>
#<alt (- (log (+ N 1)) (log N))>
#<alt (+ N 1)>
#<alt (log N)>
#<alt (- (log (+ 1 N)) (log N))>
#<alt (log (+ 1 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))))>
#<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 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))))>
Calls

18 calls:

TimeVariablePointExpression
24.0ms
N
@0
(log N)
17.0ms
N
@-inf
(log N)
11.0ms
N
@inf
(log N)
0.0ms
N
@inf
(log (+ N 1))
0.0ms
N
@-inf
(- (log (+ N 1)) (log N))

rewrite355.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
2764×*-lowering-*.f32
2764×*-lowering-*.f64
1664×/-lowering-/.f32
1664×/-lowering-/.f64
1234×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
17119
240419
3390219
0868519
Stop Event
iter limit
node limit
Counts
6 → 561
Calls
Call 1
Inputs
(log (+ N 1))
(- (log (+ N 1)) (log N))
(+ N 1)
(log N)
(- (log (+ 1 N)) (log N))
(log (+ 1 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 N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))))
(+.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 N N))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) (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 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))))
(+.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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N 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 (*.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 (*.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 N N) (+.f64 N #s(literal -1 binary64)))))) (log.f64 (+.f64 (*.f64 N 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) (*.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))) (log1p.f64 (*.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))) (-.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))) (*.f64 N (+.f64 N #s(literal -1 binary64))))))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))))
(+.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)))))
(-.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 (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 N N))) (log.f64 (-.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N (*.f64 N N))))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (*.f64 N 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 #s(literal 1 binary64) (*.f64 (*.f64 N (*.f64 N N)) (+.f64 (*.f64 N (*.f64 N N)) #s(literal -1 binary64)))))))
(-.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 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) (*.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 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) (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 #s(literal 1 binary64) (*.f64 N N)))) (log.f64 (+.f64 N #s(literal -1 binary64))))
(-.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 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))))) (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 #s(literal 1 binary64) (*.f64 N N))))) (log.f64 (-.f64 #s(literal 1 binary64) N)))
(-.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 N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (*.f64 N (*.f64 N (-.f64 #s(literal 1 binary64) N))))) (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 #s(literal 1 binary64) (*.f64 (*.f64 N (*.f64 N N)) (+.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 #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)))))))
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(-.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))))))) (log1p.f64 (*.f64 (*.f64 N (*.f64 N N)) (+.f64 (*.f64 N (*.f64 N 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 #s(literal 1 binary64) (*.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))))))) (log1p.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N 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))))
(-.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 N #s(literal -1 binary64))))) (log.f64 (+.f64 (*.f64 N (*.f64 N (*.f64 N N))) (+.f64 #s(literal 1 binary64) (*.f64 N N)))))
(-.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)))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))) (log1p.f64 (*.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) (*.f64 N N)))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))) (log1p.f64 (*.f64 N N)))
(neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 N)))
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.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))) (+.f64 (*.f64 (log1p.f64 (*.f64 N (*.f64 N N))) (log1p.f64 (*.f64 N (*.f64 N N)))) (+.f64 (*.f64 (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))))) (*.f64 (log1p.f64 (*.f64 N (*.f64 N N))) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64))) (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)))) (+.f64 (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (+.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 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (+.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) N)) (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 (-.f64 (*.f64 (log1p.f64 (*.f64 N (*.f64 N N))) (log1p.f64 (*.f64 N (*.f64 N N)))) (*.f64 (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))) (log1p.f64 (*.f64 N (+.f64 N #s(literal -1 binary64)))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64))) (log.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (+.f64 N #s(literal -1 binary64))))) (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) N)) (log.f64 (-.f64 #s(literal 1 binary64) N)))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))))
(log1p.f64 N)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 N)))

simplify205.0ms (1.4%)

Algorithm
egg-herbie
Rules
1988×--lowering--.f32
1988×--lowering--.f64
1932×fnmsub-define
1584×+-lowering-+.f64
1584×+-lowering-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
088580
1290496
2748478
32067472
46711472
08364472
Stop Event
iter limit
node limit
Counts
72 → 72
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))))
(* -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))
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))))
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 -1 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 -1 binary64) N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) (log.f64 (/.f64 #s(literal -1 binary64) N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) (log.f64 (/.f64 #s(literal -1 binary64) 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 #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)
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 -1 binary64) N)))
(+ (log -1) (* -1 (log (/ -1 N))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))
(+ (log -1) (* -1 (log (/ -1 N))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))
(+ (log -1) (* -1 (log (/ -1 N))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N)))
(* -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 #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)
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 -1 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 -1 binary64) N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N) (log.f64 (/.f64 #s(literal -1 binary64) N))))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N) (log.f64 (/.f64 #s(literal -1 binary64) N))))

eval96.0ms (0.7%)

Compiler

Compiled 15736 to 1234 computations (92.2% saved)

prune75.0ms (0.5%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New62325648
Fresh000
Picked112
Done000
Total62426650
Accuracy
99.5%
Counts
650 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.7%
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
27.8%
(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 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))))))) (neg.f64 (/.f64 (pow.f64 (log.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)))))))))
25.9%
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
26.0%
(/.f64 (-.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) (+.f64 N #s(literal 1 binary64)))))
26.1%
(/.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)))) (*.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)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
25.9%
(/.f64 (-.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 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
26.0%
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log1p.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 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (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 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
95.2%
(/.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)
93.7%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
90.7%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
26.1%
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64))) (/.f64 #s(literal 1 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 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)))))
29.1%
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
82.6%
(/.f64 #s(literal 1 binary64) N)
26.1%
(-.f64 (log1p.f64 N) (log.f64 N))
25.8%
(-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
29.1%
(*.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (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)))))))
29.1%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (pow.f64 (/.f64 #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)))))) #s(literal -1 binary64)))
29.1%
(*.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)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 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)))))))))
26.0%
(*.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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)))))))))
29.6%
(*.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)))))))
26.0%
(neg.f64 (/.f64 (+.f64 (neg.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 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
29.6%
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
29.0%
(neg.f64 (log.f64 (/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N N)))))
29.6%
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
29.1%
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
29.1%
(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 1334 to 650 computations (51.3% saved)

simplify242.0ms (1.7%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
cost-diff0
(+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
cost-diff128
(*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 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))))))))
cost-diff52608
(*.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)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 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)))))))))
cost-diff0
(log.f64 N)
cost-diff0
(pow.f64 (log.f64 N) #s(literal 2 binary64))
cost-diff0
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
cost-diff128
(/.f64 (-.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) (+.f64 N #s(literal 1 binary64)))))
cost-diff0
(*.f64 N N)
cost-diff0
(+.f64 (*.f64 N N) #s(literal -1 binary64))
cost-diff0
(log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N))
cost-diff0
(-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) N)
cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))
cost-diff0
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)
cost-diff0
(-.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))
cost-diff0
(/.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)
Rules
2624×*-lowering-*.f32
2624×*-lowering-*.f64
1868×sum3-define
1272×+-lowering-+.f64
1272×+-lowering-+.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041335
1105298
2192250
3447250
41258249
54651249
08226249
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- 1 (/ (+ 1/2 (/ (- -1/3 (/ -1/4 N)) N)) N)) N)
(- 1 (/ (+ 1/2 (/ (- -1/3 (/ -1/4 N)) N)) N))
1
(/ (+ 1/2 (/ (- -1/3 (/ -1/4 N)) N)) N)
(+ 1/2 (/ (- -1/3 (/ -1/4 N)) N))
1/2
(/ (- -1/3 (/ -1/4 N)) N)
(- -1/3 (/ -1/4 N))
-1/3
(/ -1/4 N)
-1/4
N
(/ 1 N)
1
N
(- (log (/ (+ (* N N) -1) N)) (log (+ N -1)))
(log (/ (+ (* N N) -1) N))
(/ (+ (* N N) -1) N)
(+ (* N N) -1)
(* N N)
N
-1
(log (+ N -1))
(+ N -1)
(/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ (/ 1 N) (+ N 1))))
(- (pow (log N) 2) (pow (log (+ 1 N)) 2))
(pow (log N) 2)
(log N)
N
2
(pow (log (+ 1 N)) 2)
(log (+ 1 N))
(log (/ (/ 1 N) (+ N 1)))
(/ (/ 1 N) (+ N 1))
(/ 1 N)
1
(+ N 1)
(* (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))) (* (log (/ (+ N 1) N)) (/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))))))
(+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1)))))
(pow (log (+ 1 N)) 2)
(log (+ 1 N))
N
2
(* (log N) (log (* N (+ N 1))))
(log N)
(log (* N (+ N 1)))
(* N (+ N 1))
(+ N 1)
1
(* (log (/ (+ N 1) N)) (/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1)))))))
(log (/ (+ N 1) N))
(/ (+ N 1) N)
(/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))))
Outputs
(/ (- 1 (/ (+ 1/2 (/ (- -1/3 (/ -1/4 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)) N)
(- 1 (/ (+ 1/2 (/ (- -1/3 (/ -1/4 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
#s(literal 1 binary64)
(/ (+ 1/2 (/ (- -1/3 (/ -1/4 N)) N)) N)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)
(+ 1/2 (/ (- -1/3 (/ -1/4 N)) N))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))
1/2
#s(literal 1/2 binary64)
(/ (- -1/3 (/ -1/4 N)) N)
(/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)
(- -1/3 (/ -1/4 N))
(-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
-1/3
#s(literal -1/3 binary64)
(/ -1/4 N)
(/.f64 #s(literal -1/4 binary64) N)
-1/4
#s(literal -1/4 binary64)
N
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
N
(- (log (/ (+ (* N N) -1) N)) (log (+ N -1)))
(-.f64 (log.f64 (+.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)))) (log.f64 (+.f64 N #s(literal -1 binary64))))
(log (/ (+ (* N N) -1) N))
(log.f64 (+.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N))))
(/ (+ (* N N) -1) N)
(+.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)))
(+ (* N N) -1)
(+.f64 (*.f64 N N) #s(literal -1 binary64))
(* N N)
(*.f64 N N)
N
-1
#s(literal -1 binary64)
(log (+ N -1))
(log.f64 (+.f64 N #s(literal -1 binary64)))
(+ N -1)
(+.f64 N #s(literal -1 binary64))
(/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ (/ 1 N) (+ N 1))))
(/.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))))
(- (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)
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 (/ (/ 1 N) (+ N 1)))
(log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(/ (/ 1 N) (+ N 1))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
(* (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))) (* (log (/ (+ N 1) N)) (/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))
(+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1)))))
(+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(pow (log (+ 1 N)) 2)
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
(log (+ 1 N))
(log1p.f64 N)
N
2
#s(literal 2 binary64)
(* (log N) (log (* N (+ N 1))))
(*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(log N)
(log.f64 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 1)
(+.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
(* (log (/ (+ N 1) N)) (/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1)))))))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (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)
(/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))

localize968.0ms (6.7%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 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))))))))
accuracy99.9%
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy99.9%
(*.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)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 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)))))))))
accuracy99.0%
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
accuracy100.0%
(/.f64 (-.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) (+.f64 N #s(literal 1 binary64)))))
accuracy99.9%
(pow.f64 (log1p.f64 N) #s(literal 2 binary64))
accuracy99.9%
(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy98.9%
(-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))
accuracy100.0%
(+.f64 (*.f64 N N) #s(literal -1 binary64))
accuracy100.0%
(log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N))
accuracy99.9%
(/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)
accuracy98.6%
(-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) N)
accuracy100.0%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)) N)
accuracy100.0%
(/.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)
accuracy99.9%
(-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/4 binary64) N))
accuracy99.9%
(/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N)
Results
851.0ms223×5exit
20.0ms33×0valid
Compiler

Compiled 319 to 41 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 465.0ms
backward-pass: 148.0ms (31.8% of total)
ival-log: 147.0ms (31.6% of total)
ival-div: 51.0ms (11% of total)
ival-mult: 25.0ms (5.4% of total)
ival-pow: 23.0ms (4.9% of total)
compiled-spec: 21.0ms (4.5% of total)
ival-add: 21.0ms (4.5% of total)
ival-sub: 16.0ms (3.4% of total)
...c/correct-round.rkt:119:19: 10.0ms (2.2% of total)
const: 3.0ms (0.6% of total)

series38.0ms (0.3%)

Counts
21 → 252
Calls
Call 1
Inputs
#<alt (/ (- 1 (/ (+ 1/2 (/ (- -1/3 (/ -1/4 N)) N)) N)) N)>
#<alt (- 1 (/ (+ 1/2 (/ (- -1/3 (/ -1/4 N)) N)) N))>
#<alt (/ (+ 1/2 (/ (- -1/3 (/ -1/4 N)) N)) N)>
#<alt (+ 1/2 (/ (- -1/3 (/ -1/4 N)) N))>
#<alt (/ 1 N)>
#<alt (- (log (/ (+ (* N N) -1) N)) (log (+ N -1)))>
#<alt (log (/ (+ (* N N) -1) N))>
#<alt (+ (* N N) -1)>
#<alt (* N N)>
#<alt (/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ (/ 1 N) (+ N 1))))>
#<alt (- (pow (log N) 2) (pow (log (+ 1 N)) 2))>
#<alt (pow (log N) 2)>
#<alt (log N)>
#<alt (* (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))) (* (log (/ (+ N 1) N)) (/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))))))>
#<alt (* (log (/ (+ N 1) N)) (/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1)))))))>
#<alt (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1)))))>
#<alt (pow (log (+ 1 N)) 2)>
#<alt (/ (- -1/3 (/ -1/4 N)) N)>
#<alt (- -1/3 (/ -1/4 N))>
#<alt (/ (+ (* N N) -1) N)>
#<alt (log (/ (+ N 1) N))>
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 (/ (+ 1/4 (* -1/3 N)) (pow N 3))>
#<alt (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))>
#<alt (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))>
#<alt (/ 1/2 N)>
#<alt (/ (- 1/2 (* 1/3 (/ 1 N))) N)>
#<alt (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)>
#<alt (/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)>
#<alt (/ 1/2 N)>
#<alt (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))>
#<alt (/ 1/4 (pow N 2))>
#<alt (/ (+ 1/4 (* -1/3 N)) (pow N 2))>
#<alt (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2))>
#<alt (/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2))>
#<alt 1/2>
#<alt (- 1/2 (* 1/3 (/ 1 N)))>
#<alt (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N)))>
#<alt (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N)))>
#<alt 1/2>
#<alt (- 1/2 (* 1/3 (/ 1 N)))>
#<alt (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))>
#<alt (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) 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 (/ 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))>
#<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 -1) (* -1 (log N)))>
#<alt (+ (log -1) (+ (* -1 (log N)) (* -1 (pow N 2))))>
#<alt (+ (log -1) (+ (* -1 (log N)) (* (pow N 2) (- (* -1/2 (pow N 2)) 1))))>
#<alt (+ (log -1) (+ (* -1 (log N)) (* (pow N 2) (- (* (pow N 2) (- (* -1/3 (pow N 2)) 1/2)) 1))))>
#<alt (* -1 (log (/ 1 N)))>
#<alt (- (* -1 (log (/ 1 N))) (/ 1 (pow N 2)))>
#<alt (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow N 2)))) (pow N 2))))>
#<alt (- (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow N 2)))) (pow N 4)))) (/ 1 (pow N 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 N))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 N)))) (/ 1 (pow N 2)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow N 2)))) (pow N 2)))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow N 2)))) (pow N 4))))) (/ 1 (pow N 2)))>
#<alt -1>
#<alt (- (pow N 2) 1)>
#<alt (- (pow N 2) 1)>
#<alt (- (pow N 2) 1)>
#<alt (pow N 2)>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (- 1 (/ 1 (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 (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 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)>
#<alt (/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* 1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N))))))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)>
#<alt (/ (- (+ 1 (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* 1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N))))))))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (log (/ 1 N)))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (log (/ -1 N)))))>
#<alt (* -1 (/ (+ -1 (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (/ (log -1) (log (/ -1 N))))) N))>
#<alt (* -1 (/ (+ -1 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* 1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (/ (log -1) (log (/ -1 N))))) N))>
#<alt (* -1 (/ (+ -1 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* 1/6 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* 1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (+ (* 1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (/ (log -1) (log (/ -1 N))))) N))>
#<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 (pow (log N) 2)>
#<alt (pow (log N) 2)>
#<alt (pow (log N) 2)>
#<alt (pow (log N) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<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))))>
#<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 (- (* 2 (/ N (pow (log N) 2))) (/ 1 (log N)))>
#<alt (- (* N (+ (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))))) (* 2 (/ 1 (pow (log N) 2))))) (/ 1 (log N)))>
#<alt (- (* N (+ (* N (- (* N (- (* 1/3 (/ 1 (pow (log N) 2))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))) (log N))) (+ (* -1 (/ (- (* 1/3 (log N)) 1) (pow (log N) 3))) (* 2 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 4))))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))))) (* 2 (/ 1 (pow (log N) 2))))) (/ 1 (log N)))>
#<alt (/ 1 (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))>
#<alt (/ (+ (* -1 (/ (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) N)) (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) N)>
#<alt (/ (- (+ (* 1/3 (/ 1 (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -2 (/ (log (/ 1 N)) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (log (/ 1 N)) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 1/2 (/ (log (/ 1 N)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (/ 1/2 (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ 1 (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (/ (log (/ 1 N)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))))))))) N)>
#<alt (/ (- (+ (* 1/3 (/ 1 (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (/ 1 (* (pow N 3) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -2 (/ (log (/ 1 N)) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (log (/ 1 N)) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (* (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))) (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -2/3 (/ (log (/ 1 N)) (* (pow N 3) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1/3 (/ (log (/ 1 N)) (* (pow N 3) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* 1/2 (/ (log (/ 1 N)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (/ 1/4 (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ 1/2 (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ 1 (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (/ (log (/ 1 N)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- (* 1/3 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -1 (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* 1/2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (/ 1 (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))))))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))))))))))))) N)>
#<alt (/ 1 (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (* N (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (/ 1/2 (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))>
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#<alt (pow (log N) 2)>
#<alt (+ (* N (log N)) (pow (log N) 2))>
#<alt (+ (* N (+ (log N) (* N (+ 1 (* -1/2 (log N)))))) (pow (log N) 2))>
#<alt (+ (* N (+ (log N) (* N (+ 1 (+ (* -1/2 (log N)) (* N (- (* 1/3 (log N)) 1))))))) (pow (log N) 2))>
#<alt (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))>
#<alt (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2)))))))>
#<alt (- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))))))) (/ 1 (pow N 3)))>
#<alt (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))>
#<alt (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))>
#<alt (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))>
#<alt (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))>
#<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))>
#<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 N)>
#<alt (/ (- (pow N 2) 1) N)>
#<alt (/ (- (pow N 2) 1) N)>
#<alt (/ (- (pow N 2) 1) N)>
#<alt N>
#<alt (* N (- 1 (/ 1 (pow N 2))))>
#<alt (* N (- 1 (/ 1 (pow N 2))))>
#<alt (* N (- 1 (/ 1 (pow N 2))))>
#<alt N>
#<alt (* -1 (* N (- (/ 1 (pow N 2)) 1)))>
#<alt (* -1 (* N (- (/ 1 (pow N 2)) 1)))>
#<alt (* -1 (* N (- (/ 1 (pow N 2)) 1)))>
#<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))>
Calls

63 calls:

TimeVariablePointExpression
11.0ms
N
@-inf
(+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1)))))
3.0ms
N
@inf
(* (log (/ (+ N 1) N)) (/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1)))))))
3.0ms
N
@-inf
(* (log (/ (+ N 1) N)) (/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1)))))))
2.0ms
N
@-inf
(/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ (/ 1 N) (+ N 1))))
2.0ms
N
@inf
(/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ (/ 1 N) (+ N 1))))

rewrite396.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
4712×*-lowering-*.f32
4712×*-lowering-*.f64
3002×/-lowering-/.f32
3002×/-lowering-/.f64
2468×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041181
1293153
22589153
09757153
Stop Event
iter limit
node limit
Counts
21 → 696
Calls
Call 1
Inputs
(/ (- 1 (/ (+ 1/2 (/ (- -1/3 (/ -1/4 N)) N)) N)) N)
(- 1 (/ (+ 1/2 (/ (- -1/3 (/ -1/4 N)) N)) N))
(/ (+ 1/2 (/ (- -1/3 (/ -1/4 N)) N)) N)
(+ 1/2 (/ (- -1/3 (/ -1/4 N)) N))
(/ 1 N)
(- (log (/ (+ (* N N) -1) N)) (log (+ N -1)))
(log (/ (+ (* N N) -1) N))
(+ (* N N) -1)
(* N N)
(/ (- (pow (log N) 2) (pow (log (+ 1 N)) 2)) (log (/ (/ 1 N) (+ N 1))))
(- (pow (log N) 2) (pow (log (+ 1 N)) 2))
(pow (log N) 2)
(log N)
(* (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))) (* (log (/ (+ N 1) N)) (/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1))))))))
(* (log (/ (+ N 1) N)) (/ 1 (+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1)))))))
(+ (pow (log (+ 1 N)) 2) (* (log N) (log (* N (+ N 1)))))
(pow (log (+ 1 N)) 2)
(/ (- -1/3 (/ -1/4 N)) N)
(- -1/3 (/ -1/4 N))
(/ (+ (* N N) -1) N)
(log (/ (+ N 1) N))
Outputs
(+.f64 (/.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) (fma.f64 (/.f64 #s(literal -1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))))
(+.f64 (/.f64 #s(literal 1 binary64) N) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))
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(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))
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(*.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))

simplify325.0ms (2.3%)

Algorithm
egg-herbie
Rules
4898×+-lowering-+.f64
4898×+-lowering-+.f32
3710×*-lowering-*.f32
3710×*-lowering-*.f64
1382×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06235103
122364240
081874240
Stop Event
iter limit
node limit
Counts
252 → 252
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))
(/ -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))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))
(/ 1/2 N)
(/ (- 1/2 (* 1/3 (/ 1 N))) N)
(/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)
(/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)
(/ 1/2 N)
(* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))
(/ 1/4 (pow N 2))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2))
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2))
1/2
(- 1/2 (* 1/3 (/ 1 N)))
(- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N)))
(- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N)))
1/2
(- 1/2 (* 1/3 (/ 1 N)))
(+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
(+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 N)
(/ 1 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 -1) (* -1 (log N)))
(+ (log -1) (+ (* -1 (log N)) (* -1 (pow N 2))))
(+ (log -1) (+ (* -1 (log N)) (* (pow N 2) (- (* -1/2 (pow N 2)) 1))))
(+ (log -1) (+ (* -1 (log N)) (* (pow N 2) (- (* (pow N 2) (- (* -1/3 (pow N 2)) 1/2)) 1))))
(* -1 (log (/ 1 N)))
(- (* -1 (log (/ 1 N))) (/ 1 (pow N 2)))
(+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow N 2)))) (pow N 2))))
(- (+ (* -1 (log (/ 1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow N 2)))) (pow N 4)))) (/ 1 (pow N 2)))
(+ (log -1) (* -1 (log (/ -1 N))))
(- (+ (log -1) (* -1 (log (/ -1 N)))) (/ 1 (pow N 2)))
(+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow N 2)))) (pow N 2)))))
(- (+ (log -1) (+ (* -1 (log (/ -1 N))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow N 2)))) (pow N 4))))) (/ 1 (pow N 2)))
-1
(- (pow N 2) 1)
(- (pow N 2) 1)
(- (pow N 2) 1)
(pow N 2)
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(pow N 2)
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(pow N 2)
(pow N 2)
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(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 (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 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)
(/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* 1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N))))))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)
(/ (- (+ 1 (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* 1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (* (pow N 2) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N))))))))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/2 (/ (- 1 (* -2/3 (log (/ 1 N)))) (log (/ 1 N)))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))) (* 1/4 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 1/2 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (* N (log (/ -1 N)))))
(* -1 (/ (+ -1 (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (/ (log -1) (log (/ -1 N))))) N))
(* -1 (/ (+ -1 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* 1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (/ (log -1) (log (/ -1 N))))) N))
(* -1 (/ (+ -1 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* 1/6 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* 1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (+ (* 1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (/ (log -1) (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))
(pow (log N) 2)
(pow (log N) 2)
(pow (log N) 2)
(pow (log N) 2)
(pow (log (/ 1 N)) 2)
(pow (log (/ 1 N)) 2)
(pow (log (/ 1 N)) 2)
(pow (log (/ 1 N)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(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))))
(* -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))
(/ -1 (log N))
(- (* 2 (/ N (pow (log N) 2))) (/ 1 (log N)))
(- (* N (+ (* -1 (* N (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))))) (* 2 (/ 1 (pow (log N) 2))))) (/ 1 (log N)))
(- (* N (+ (* N (- (* N (- (* 1/3 (/ 1 (pow (log N) 2))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))) (log N))) (+ (* -1 (/ (- (* 1/3 (log N)) 1) (pow (log N) 3))) (* 2 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 4))))))) (+ (* -1 (/ (+ 1 (* -1/2 (log N))) (pow (log N) 3))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* 2 (/ 1 (pow (log N) 3))))))) (* 2 (/ 1 (pow (log N) 2))))) (/ 1 (log N)))
(/ 1 (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))
(/ (+ (* -1 (/ (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))) N)) (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) N)
(/ (- (+ (* 1/3 (/ 1 (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -2 (/ (log (/ 1 N)) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (log (/ 1 N)) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* 1/2 (/ (log (/ 1 N)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (/ 1/2 (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ 1 (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (/ (log (/ 1 N)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))))))))) N)
(/ (- (+ (* 1/3 (/ 1 (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (/ 1 (* (pow N 3) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -2 (/ (log (/ 1 N)) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (log (/ 1 N)) (* N (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1 (/ (* (+ 1 (+ (log (/ 1 N)) (* 1/2 (log (/ 1 N))))) (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -1 (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (* (pow N 2) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))) (+ (* -2/3 (/ (log (/ 1 N)) (* (pow N 3) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* -1/3 (/ (log (/ 1 N)) (* (pow N 3) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (* 1/2 (/ (log (/ 1 N)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)))) (+ (/ 1/4 (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ 1/2 (* N (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (/ 1 (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (/ (log (/ 1 N)) (* (pow N 2) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (- (* 1/3 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* -1 (/ (* (+ (* -2 (log (/ 1 N))) (* -1 (log (/ 1 N)))) (+ (* -2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (* -1 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (* 1/2 (/ 1 (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))))) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))) (+ (* 1/2 (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))) (+ (/ 1 (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2)) (/ (log (/ 1 N)) (pow (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)) 2))))))) (* (pow N 3) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2)))))))))))))))) N)
(/ 1 (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
(* -1 (/ (- (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (* N (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (/ 1/2 (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/2 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (* N (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (/ 1/3 (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/2 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/2 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (* -1 (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/2 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/3 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))))) (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))) (+ (* -1 (/ (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) (* N (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2)))) (/ 1/4 (* N (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))))) (+ (* -1 (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/2 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (+ (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/3 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))))) N)) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)) 2))) (* 1/2 (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))))) N)) (/ 1 (+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N))
(pow (log N) 2)
(+ (* N (log N)) (pow (log N) 2))
(+ (* N (+ (log N) (* N (+ 1 (* -1/2 (log N)))))) (pow (log N) 2))
(+ (* N (+ (log N) (* N (+ 1 (+ (* -1/2 (log N)) (* N (- (* 1/3 (log N)) 1))))))) (pow (log N) 2))
(+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2 (pow (log (/ 1 N)) 2)) (pow (log (/ 1 N)) 2))))
(+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2)))))))
(- (+ (* -2 (/ (log (/ 1 N)) N)) (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -2/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* -1/3 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1/2 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (pow (log (/ 1 N)) 2)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ 1 N)) (pow N 2)) (pow (log (/ 1 N)) 2))))))))) (/ 1 (pow N 3)))
(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))
(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(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))
(/ 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 N)
(/ (- (pow N 2) 1) N)
(/ (- (pow N 2) 1) N)
(/ (- (pow N 2) 1) N)
N
(* N (- 1 (/ 1 (pow N 2))))
(* N (- 1 (/ 1 (pow N 2))))
(* N (- 1 (/ 1 (pow N 2))))
N
(* -1 (* N (- (/ 1 (pow N 2)) 1)))
(* -1 (* N (- (/ 1 (pow N 2)) 1)))
(* -1 (* N (- (/ 1 (pow N 2)) 1)))
(* -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))
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 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (-.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 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (-.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)))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) (*.f64 N (*.f64 N N)))
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N (+.f64 (*.f64 N #s(literal 1/2 binary64)) #s(literal -1/3 binary64)))) (*.f64 N (*.f64 N N)))
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N (+.f64 (*.f64 N #s(literal 1/2 binary64)) #s(literal -1/3 binary64)))) (*.f64 N (*.f64 N N)))
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(/ (- 1/2 (* 1/3 (/ 1 N))) N)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)) N)
(/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N))) N)
(/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N))) N)
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
(* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))
(/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N)
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/3 binary64)) N) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) N))
(/ 1/4 (pow N 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) (*.f64 N N))
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N (+.f64 (*.f64 N #s(literal 1/2 binary64)) #s(literal -1/3 binary64)))) (*.f64 N N))
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N (+.f64 (*.f64 N #s(literal 1/2 binary64)) #s(literal -1/3 binary64)))) (*.f64 N N))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/3 (/ 1 N)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N))
(- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N)))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)))
(- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N)))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 N N)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N)))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/3 (/ 1 N)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) N))
(+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))
(+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) N))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ 1 N)
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(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(+.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) N)))
(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N))))))) N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(+.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (/.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3/2 binary64))) N)) (-.f64 #s(literal 0 binary64) N)))
(+ (* -2 (* (log (/ -1 N)) (+ (log -1) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 N))))) (+ (* -1 (/ (+ 1 (+ (* -2/3 (+ (log -1) (* -1 (log (/ -1 N))))) (* -1/3 (+ (log -1) (* -1 (log (/ -1 N))))))) N)) (* -1/2 (+ (log -1) (* -1 (log (/ -1 N)))))))) N)))) N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(+.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) N))))) (/.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3 binary64)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -3/2 binary64))) (/.f64 (-.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))) N)) (-.f64 #s(literal 0 binary64) N)))
(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 (*.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 #s(literal 1 binary64) (*.f64 N N)) (+.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) (*.f64 N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (log.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 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) N)) (*.f64 N N)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (-.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 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal -2/3 binary64))) N)) N)) N))
(/ 1/4 (pow N 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) (*.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) (*.f64 N N))
(/ (+ 1/4 (* -1/3 N)) (pow N 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) (*.f64 N N))
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(/ (- (* 1/4 (/ 1 N)) 1/3) N)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64)) N)
(/ -1/3 N)
(/.f64 #s(literal -1/3 binary64) N)
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (-.f64 #s(literal 0 binary64) N))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) N)) (-.f64 #s(literal 0 binary64) N))
(/ 1/4 N)
(/.f64 #s(literal 1/4 binary64) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) N)
(/ (+ 1/4 (* -1/3 N)) N)
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) N)
-1/3
#s(literal -1/3 binary64)
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(- (* 1/4 (/ 1 N)) 1/3)
(+.f64 (/.f64 #s(literal 1/4 binary64) N) #s(literal -1/3 binary64))
(/ -1 N)
(/.f64 #s(literal -1 binary64) N)
(/ (- (pow N 2) 1) N)
(/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)
(/ (- (pow N 2) 1) N)
(/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)
(/ (- (pow N 2) 1) N)
(/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)
N
(* N (- 1 (/ 1 (pow N 2))))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 N N))))
(* N (- 1 (/ 1 (pow N 2))))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 N N))))
(* N (- 1 (/ 1 (pow N 2))))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 N N))))
N
(* -1 (* N (- (/ 1 (pow N 2)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64)))
(* -1 (* N (- (/ 1 (pow N 2)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64)))
(* -1 (* N (- (/ 1 (pow N 2)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64)))
(* -1 (log N))
(log.f64 (/.f64 #s(literal 1 binary64) N))
(+ N (* -1 (log N)))
(-.f64 N (log.f64 N))
(+ (* -1 (log N)) (* N (+ 1 (* -1/2 N))))
(-.f64 (*.f64 N (+.f64 (*.f64 N #s(literal -1/2 binary64)) #s(literal 1 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 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (-.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))

eval173.0ms (1.2%)

Compiler

Compiled 36224 to 2993 computations (91.7% saved)

prune161.0ms (1.1%)

Pruning

49 alts after pruning (44 fresh and 5 done)

PrunedKeptTotal
New1065331098
Fresh91120
Picked145
Done011
Total1075491124
Accuracy
99.6%
Counts
1124 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.7%
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
27.9%
(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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
27.8%
(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 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))))))) (neg.f64 (/.f64 (pow.f64 (log.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)))))))))
25.9%
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
28.1%
(/.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 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64)))))
27.8%
(/.f64 (fma.f64 (log.f64 N) (log.f64 N) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64)))))
26.1%
(/.f64 (/.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)) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64)))))
95.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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)
95.0%
(/.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)
95.1%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))))) N)
26.0%
(/.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))))
25.8%
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))))
27.6%
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64)))))
26.0%
(/.f64 (-.f64 (pow.f64 (exp.f64 (log.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) (+.f64 N #s(literal 1 binary64)))))
26.1%
(/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))))
94.2%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (*.f64 N (*.f64 N N)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))))))
26.1%
(/.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)))) (*.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)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
25.9%
(/.f64 (-.f64 (*.f64 (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 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
95.0%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))))
94.9%
(/.f64 (-.f64 N (*.f64 N (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))) (*.f64 N N))
95.1%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (*.f64 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))))
93.7%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #s(literal 1/2 binary64)) N)) N)
95.2%
(/.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)
90.7%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
93.7%
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
95.1%
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (-.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N N))))) N)
26.1%
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64))) (/.f64 #s(literal 1 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 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)))))
95.1%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (/.f64 #s(literal 1 binary64) (+.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)
95.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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)))))
29.1%
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
29.1%
(/.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
29.6%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
95.2%
(/.f64 #s(literal 1 binary64) (/.f64 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))))
82.6%
(/.f64 #s(literal 1 binary64) N)
95.1%
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))
26.1%
(-.f64 (log1p.f64 N) (log.f64 N))
25.8%
(-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
29.6%
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
29.6%
(*.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)))))) (/.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
29.1%
(*.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)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))))
29.1%
(*.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)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 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)))))))))
26.0%
(*.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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)))))))))
29.1%
(*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))))
29.6%
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
29.2%
(neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N))))
29.6%
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
29.1%
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
27.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal -1 binary64)))
29.1%
(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 3085 to 1396 computations (54.7% saved)

simplify352.0ms (2.5%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))
cost-diff0
(/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
cost-diff0
(log1p.f64 N)
cost-diff6400
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
cost-diff0
(*.f64 N (+.f64 #s(literal 1 binary64) N))
cost-diff0
(log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))
cost-diff0
(/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
cost-diff13568
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
cost-diff0
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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)))))
cost-diff256
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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)
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 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)
cost-diff0
(-.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))
cost-diff0
(/.f64 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)))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 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))))
Rules
3538×*-lowering-*.f32
3538×*-lowering-*.f64
1774×/-lowering-/.f32
1774×/-lowering-/.f64
972×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
046597
1130515
2320470
31186456
44730453
08163453
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (/ N (- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))))
1
(/ N (- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)))
N
(- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))
(/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)
(+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N))
1/2
(/ (+ -1/3 (/ 1/4 N)) N)
(+ -1/3 (/ 1/4 N))
-1/3
(/ 1/4 N)
1/4
(/ (- 1 (/ 1/2 N)) N)
(- 1 (/ 1/2 N))
1
(/ 1/2 N)
1/2
N
(/ (/ (- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))) (+ 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))))) N)
(/ (- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))) (+ 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)))))
(- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N))))))
1
(* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))
(/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)
(+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N))
1/2
(/ (+ -1/3 (/ 1/4 N)) N)
(+ -1/3 (/ 1/4 N))
-1/3
(/ 1/4 N)
1/4
N
(/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N))))
(/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))
(+ 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))))
(* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)))
(+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))
(* (/ -1 (log (* N (+ 1 N)))) (* (log (* N (+ 1 N))) (log (/ N (+ 1 N)))))
(/ -1 (log (* N (+ 1 N))))
-1
(log (* N (+ 1 N)))
(* N (+ 1 N))
N
(+ 1 N)
1
(* (log (* N (+ 1 N))) (log (/ N (+ 1 N))))
(log (/ N (+ 1 N)))
(/ N (+ 1 N))
(+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ N 1))))) (neg (/ (pow (log N) 2) (log (* N (+ N 1))))))
(log (+ 1 N))
N
(/ (log (+ 1 N)) (log (* N (+ N 1))))
(log (* N (+ N 1)))
(* N (+ N 1))
(+ N 1)
1
(neg (/ (pow (log N) 2) (log (* N (+ N 1)))))
(/ (pow (log N) 2) (log (* N (+ N 1))))
(pow (log N) 2)
(log N)
2
Outputs
(/ 1 (/ N (- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 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)) N)
1
#s(literal 1 binary64)
(/ N (- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)))
(/.f64 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)))
N
(- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 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))
(/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)
(+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))
1/2
#s(literal 1/2 binary64)
(/ (+ -1/3 (/ 1/4 N)) N)
(/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
(+ -1/3 (/ 1/4 N))
(+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
-1/3
#s(literal -1/3 binary64)
(/ 1/4 N)
(/.f64 #s(literal 1/4 binary64) N)
1/4
#s(literal 1/4 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 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))) (+ 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 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)) (/.f64 (/.f64 (*.f64 N (*.f64 N N)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (+.f64 N (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)))))
(/ (- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))) (+ 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 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)) (/.f64 (/.f64 (*.f64 N (*.f64 N N)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)))))
(- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 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)) (/.f64 (/.f64 (*.f64 N (*.f64 N N)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))
1
#s(literal 1 binary64)
(* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (/.f64 (/.f64 (*.f64 N (*.f64 N N)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))
(/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)
(+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))
1/2
#s(literal 1/2 binary64)
(/ (+ -1/3 (/ 1/4 N)) N)
(/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
(+ -1/3 (/ 1/4 N))
(+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
-1/3
#s(literal -1/3 binary64)
(/ 1/4 N)
(/.f64 #s(literal 1/4 binary64) N)
1/4
#s(literal 1/4 binary64)
N
(/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (/.f64 (*.f64 N N) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))
(/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))
(/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))
(+ 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.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 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))))
(* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)))
(*.f64 (/.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 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)))
(+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 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 (log (* N (+ 1 N)))) (* (log (* N (+ 1 N))) (log (/ N (+ 1 N)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
(/ -1 (log (* N (+ 1 N))))
(/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
-1
#s(literal -1 binary64)
(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))
N
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
(* (log (* N (+ 1 N))) (log (/ N (+ 1 N))))
(*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (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))
(+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ N 1))))) (neg (/ (pow (log N) 2) (log (* N (+ N 1))))))
(-.f64 (/.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(log (+ 1 N))
(log1p.f64 N)
N
(/ (log (+ 1 N)) (log (* N (+ N 1))))
(/.f64 (log1p.f64 N) (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 1)
(+.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
(neg (/ (pow (log N) 2) (log (* N (+ N 1)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(/ (pow (log N) 2) (log (* N (+ N 1))))
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(log N)
(log.f64 N)
2
#s(literal 2 binary64)

localize915.0ms (6.4%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
accuracy99.9%
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
accuracy99.9%
(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy98.7%
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
accuracy100.0%
(*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))
accuracy99.9%
(/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
accuracy99.9%
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
accuracy99.1%
(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
accuracy99.9%
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))
accuracy99.9%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))
accuracy99.9%
(*.f64 (/.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 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)))
accuracy99.9%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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)))))
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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
accuracy100.0%
(/.f64 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)))
accuracy99.9%
(+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))
accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 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))))
accuracy99.9%
(/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)
Results
773.0ms223×5exit
34.0ms33×0valid
Compiler

Compiled 600 to 46 computations (92.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 365.0ms
backward-pass: 152.0ms (41.6% of total)
ival-div: 61.0ms (16.7% of total)
ival-log: 43.0ms (11.8% of total)
ival-mult: 29.0ms (7.9% of total)
compiled-spec: 25.0ms (6.8% of total)
ival-add: 24.0ms (6.6% of total)
...c/correct-round.rkt:119:19: 10.0ms (2.7% of total)
ival-sub: 9.0ms (2.5% of total)
ival-pow: 5.0ms (1.4% of total)
const: 3.0ms (0.8% of total)
ival-neg: 3.0ms (0.8% of total)

series35.0ms (0.2%)

Counts
27 → 324
Calls
Call 1
Inputs
#<alt (/ 1 (/ N (- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))))>
#<alt (/ N (- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)))>
#<alt (- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))>
#<alt (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)>
#<alt (/ (- 1 (/ 1/2 N)) N)>
#<alt (- 1 (/ 1/2 N))>
#<alt (/ 1/2 N)>
#<alt (/ (/ (- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))) (+ 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))))) N)>
#<alt (/ (- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))) (+ 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)))))>
#<alt (- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N))))))>
#<alt (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))>
#<alt (* (/ -1 (log (* N (+ 1 N)))) (* (log (* N (+ 1 N))) (log (/ N (+ 1 N)))))>
#<alt (/ -1 (log (* N (+ 1 N))))>
#<alt (log (* N (+ 1 N)))>
#<alt (* N (+ 1 N))>
#<alt (+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ N 1))))) (neg (/ (pow (log N) 2) (log (* N (+ N 1))))))>
#<alt (log (+ 1 N))>
#<alt (/ (log (+ 1 N)) (log (* N (+ N 1))))>
#<alt (log (* N (+ N 1)))>
#<alt (/ (+ -1/3 (/ 1/4 N)) N)>
#<alt (+ -1/3 (/ 1/4 N))>
#<alt (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)))>
#<alt (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N))))>
#<alt (log (/ N (+ 1 N)))>
#<alt (* (log (* N (+ 1 N))) (log (/ N (+ 1 N))))>
#<alt (pow (log N) 2)>
#<alt (/ (pow (log N) 2) (log (* N (+ N 1))))>
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))))>
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#<alt N>
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#<alt (* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* N (- (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/4 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))) (* 2/3 (/ 1 (pow (log N) 2)))))))))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))>
#<alt 1/2>
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#<alt (- (+ 1/2 (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 2))) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (+ (* 1/8 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))))>
#<alt (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N))))>
#<alt (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N)))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N)))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ -1 N)))) (+ (* -1/12 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* 1/4 (/ 1 (log (/ -1 N))))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (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 (/ 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 (/ 1/16 (pow N 6))>
#<alt (/ (+ 1/16 (* -1/6 N)) (pow N 6))>
#<alt (/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 6))>
#<alt (/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 6))>
#<alt (/ 1/2 N)>
#<alt (/ (- 1/2 (* 1/12 (/ 1 N))) N)>
#<alt (/ (+ 1/2 (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) N))) N)>
#<alt (/ (- (+ 1/2 (* 13/36 (/ 1 (pow N 3)))) (+ (/ 1/12 (pow N 2)) (* 1/12 (/ 1 N)))) N)>
#<alt (/ 1/2 N)>
#<alt (* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))>
#<alt (* -1 (/ (- (+ (/ 1/12 (pow N 2)) (* 1/12 (/ 1 N))) 1/2) N))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1/12 (* 13/36 (/ 1 N))) N)) 1/12) N)) 1/2) N))>
#<alt (/ 1/16 (pow N 6))>
#<alt (/ (+ 1/16 (* -1/6 N)) (pow N 6))>
#<alt (/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 6))>
#<alt (/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/3 N))) 1/6))) (pow N 6))>
#<alt (/ 1/4 (pow N 2))>
#<alt (/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 2))>
#<alt (/ (- (+ 1/4 (/ 13/36 (pow N 2))) (* 1/3 (/ 1 N))) (pow N 2))>
#<alt (/ (- (+ 1/4 (/ 13/36 (pow N 2))) (+ (* 1/3 (/ 1 N)) (* 1/6 (/ 1 (pow N 3))))) (pow N 2))>
#<alt (/ 1/4 (pow N 2))>
#<alt (/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 2))>
#<alt (/ (+ 1/4 (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) N))) (pow N 2))>
#<alt (/ (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 13/36 (* 1/6 (/ 1 N))) N))) N))) (pow N 2))>
#<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 (log N) 2)>
#<alt (+ (* N (+ (log N) (* -1 (log N)))) (pow (log N) 2))>
#<alt (+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1))))) (pow (log N) 2))>
#<alt (+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (+ (* 1/2 (log N)) (* N (+ 1 (+ (* -1/3 (log N)) (* 1/3 (log N))))))) 1))))) (pow (log N) 2))>
#<alt (* 2 (/ (log (/ 1 N)) N))>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (* 2 (log (/ 1 N)))) (/ 1 N)) N)>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2))))) (/ 1 N)) N)>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2)))))) (+ (/ 1 N) (* 11/12 (/ 1 (pow N 3))))) N)>
#<alt (* 2 (/ (log (/ -1 N)) N))>
#<alt (* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (log (/ -1 N))) 1) N))) N))>
#<alt (* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -2/3 (log (/ -1 N))) 1) N))) 1) N))) N))>
#<alt (* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (log (/ -1 N))) 11/12) N)) (* -2/3 (log (/ -1 N)))) 1) N))) 1) N))) N))>
#<alt (pow (log N) 2)>
#<alt (pow (log N) 2)>
#<alt (pow (log N) 2)>
#<alt (pow (log N) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (log (/ 1 N)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)>
#<alt (log N)>
#<alt (+ (log N) (* -1 N))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1)))>
#<alt (+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1)))>
#<alt (* -1/2 (log (/ 1 N)))>
#<alt (- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))>
#<alt (- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))>
#<alt (- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3)))))))>
#<alt (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))>
#<alt (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))))>
#<alt (+ (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))>
Calls

81 calls:

TimeVariablePointExpression
4.0ms
N
@0
(- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N))))))
4.0ms
N
@-inf
(+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ N 1))))) (neg (/ (pow (log N) 2) (log (* N (+ N 1))))))
3.0ms
N
@inf
(+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ N 1))))) (neg (/ (pow (log N) 2) (log (* N (+ N 1))))))
2.0ms
N
@0
(log (/ N (+ 1 N)))
1.0ms
N
@-inf
(/ (log (+ 1 N)) (log (* N (+ N 1))))

rewrite537.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
4386×/-lowering-/.f32
4386×/-lowering-/.f64
2744×*-lowering-*.f32
2744×*-lowering-*.f64
1952×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046334
1329263
23131244
09358244
Stop Event
iter limit
node limit
Counts
27 → 1140
Calls
Call 1
Inputs
(/ 1 (/ N (- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))))
(/ N (- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)))
(- 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))
(/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)
(/ (- 1 (/ 1/2 N)) N)
(- 1 (/ 1/2 N))
(/ 1/2 N)
(/ (/ (- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))) (+ 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N))))) N)
(/ (- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))) (+ 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)))))
(- 1 (* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N))))))
(* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)))))
(* (/ -1 (log (* N (+ 1 N)))) (* (log (* N (+ 1 N))) (log (/ N (+ 1 N)))))
(/ -1 (log (* N (+ 1 N))))
(log (* N (+ 1 N)))
(* N (+ 1 N))
(+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ N 1))))) (neg (/ (pow (log N) 2) (log (* N (+ N 1))))))
(log (+ 1 N))
(/ (log (+ 1 N)) (log (* N (+ N 1))))
(log (* N (+ N 1)))
(/ (+ -1/3 (/ 1/4 N)) N)
(+ -1/3 (/ 1/4 N))
(* (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (+ 1 (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N)))
(/ (/ (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N)) N) (/ N (+ 1/2 (/ (+ -1/3 (/ 1/4 N)) N))))
(log (/ N (+ 1 N)))
(* (log (* N (+ 1 N))) (log (/ N (+ 1 N))))
(pow (log N) 2)
(/ (pow (log N) 2) (log (* N (+ N 1))))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 0 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 (/.f64 #s(literal 1 binary64) N) (*.f64 (-.f64 #s(literal 0 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 1 binary64) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 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)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 N (*.f64 N N))) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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) (/.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 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 -1/3 binary64) (/.f64 #s(literal 1/4 binary64) 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))))) N))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N) (*.f64 (-.f64 #s(literal 0 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 1 binary64) N)))
(fma.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))))
(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 -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)))))
(neg.f64 (/.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))
(/.f64 #s(literal 1 binary64) (/.f64 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))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 N (*.f64 N N))))))
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(/.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)) (neg.f64 (-.f64 #s(literal 0 binary64) N)))
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(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) (*.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))))
(fma.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))))
(fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) #s(literal 1/2 binary64)))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))))
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 N (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (/.f64 N (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 N (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 N (/.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 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)
(/.f64 (-.f64 #s(literal 0 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 N (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (*.f64 (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (neg.f64 (/.f64 N (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (*.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))) (*.f64 N (*.f64 N N)))) (*.f64 (/.f64 N (/.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 1/4 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) #s(literal 1/2 binary64)) (/.f64 N (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) (/.f64 N (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N))))) (*.f64 (/.f64 N (/.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 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))
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(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) #s(literal 1 binary64)) (/.f64 N (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))) (*.f64 N N))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))) (*.f64 N (-.f64 #s(literal 0 binary64) N)))
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(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N) (/.f64 N (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)))))) (*.f64 N (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 #s(literal 0 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 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(/.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(pow.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(*.f64 (log.f64 N) (*.f64 (log.f64 N) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(*.f64 (log.f64 N) (/.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(*.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)))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (/.f64 #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)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) #s(literal -1 binary64)))

simplify427.0ms (3%)

Algorithm
egg-herbie
Rules
4668×+-lowering-+.f64
4668×+-lowering-+.f32
3316×*-lowering-*.f32
3316×*-lowering-*.f64
1824×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09025556
130824989
082214989
Stop Event
iter limit
node limit
Counts
324 → 324
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))
(/ (+ 1/4 (* -1/3 N)) (pow N 3))
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))
(/ (+ 1/4 (* N (- (* 1/2 N) 1/3))) (pow N 3))
(/ 1/2 N)
(/ (- 1/2 (* 1/3 (/ 1 N))) N)
(/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)
(/ (- (+ 1/2 (/ 1/4 (pow N 2))) (* 1/3 (/ 1 N))) N)
(/ 1/2 N)
(* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) N))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 N)) 1/3) N)) 1/2) 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 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))
(/ -1/4 (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)))
(/ -1/64 (pow N 9))
(/ (- (* 1/16 N) 1/64) (pow N 9))
(/ (- (* N (+ 1/16 (* -17/96 N))) 1/64) (pow N 9))
(/ (- (* N (+ 1/16 (* N (- (* 31/108 N) 17/96)))) 1/64) (pow N 9))
1
(- 1 (* 1/8 (/ 1 (pow N 3))))
(- (+ 1 (/ 1/4 (pow N 4))) (* 1/8 (/ 1 (pow N 3))))
(- (+ 1 (/ 1/4 (pow N 4))) (+ (* 1/8 (/ 1 (pow N 3))) (* 17/48 (/ 1 (pow N 5)))))
1
(- 1 (* 1/8 (/ 1 (pow N 3))))
(+ 1 (* -1 (/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3))))
(+ 1 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/4 (* 17/48 (/ 1 N))) N))) (pow N 3))))
(/ 1/64 (pow N 9))
(/ (+ 1/64 (* -1/16 N)) (pow N 9))
(/ (+ 1/64 (* N (- (* 17/96 N) 1/16))) (pow N 9))
(/ (+ 1/64 (* N (- (* N (+ 17/96 (* -31/108 N))) 1/16))) (pow N 9))
(/ 1/8 (pow N 3))
(/ (- 1/8 (* 1/4 (/ 1 N))) (pow N 3))
(/ (- (+ 1/8 (/ 17/48 (pow N 2))) (* 1/4 (/ 1 N))) (pow N 3))
(/ (- (+ 1/8 (/ 17/48 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 31/108 (/ 1 (pow N 3))))) (pow N 3))
(/ 1/8 (pow N 3))
(* -1 (/ (- (* 1/4 (/ 1 N)) 1/8) (pow N 3)))
(* -1 (/ (- (* -1 (/ (- (* 17/48 (/ 1 N)) 1/4) N)) 1/8) (pow N 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 31/108 (/ 1 N)) 17/48) N)) 1/4) N)) 1/8) (pow N 3)))
(* -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))
(/ -1 (log N))
(- (/ N (pow (log N) 2)) (/ 1 (log N)))
(- (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(- (* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (pow (log N) 3)))) (* -1 (/ (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))))) (+ (* 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)))
(+ (* 1/2 (/ 1 (log (/ 1 N)))) (* 1/4 (/ 1 (* N (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)))))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))
(- (+ (/ 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 (/ (- (* 1/8 (/ 1 (pow (log (/ 1 N)) 3))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2)))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 3))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))))))
(/ 1/2 (log (/ -1 N)))
(+ (* 1/2 (/ 1 (log (/ -1 N)))) (* 1/4 (/ 1 (* N (pow (log (/ -1 N)) 2)))))
(+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 3))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/4 (/ 1 (pow (log (/ -1 N)) 2)))) N)) (* 1/2 (/ 1 (log (/ -1 N)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/16 (/ 1 (pow (log (/ -1 N)) 3))) (+ (* 1/12 (/ 1 (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/8 (/ 1 (pow (log (/ -1 N)) 3))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/8 (/ 1 (pow (log (/ -1 N)) 3)))) (* 1/8 (/ 1 (pow (log (/ -1 N)) 2)))) 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 (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 (log (/ 1 N))) (* N (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))) N)
(/ (- (+ 1 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (/ 1/2 (* N (log (/ 1 N)))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))) N)
(/ (- (+ 1 (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 N)))) (* (pow N 3) (log (/ 1 N))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (* N (log (/ 1 N))))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* 1/16 (/ 1 (log (/ 1 N)))) (+ 1/12 (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/6 (* (pow N 3) (log (/ 1 N)))) (/ 1/2 (* N (log (/ 1 N)))))))))))) (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 2) (log (/ 1 N))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 N))) 1) (log (/ 1 N)))) (+ 1/12 (+ (* -1/2 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (log (/ 1 N)))) (* 3/16 (/ 1 (log (/ 1 N))))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ (+ 1/8 (+ (* -1/2 (/ (+ 1 (log (/ 1 N))) (log (/ 1 N)))) (* 3/8 (/ 1 (log (/ 1 N)))))) (* (pow N 3) (log (/ 1 N))))) (* 1/4 (/ 1 (* (pow N 2) (log (/ 1 N))))))))) N)
(* -1 (/ (- (/ (log -1) (log (/ -1 N))) 1) N))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 N)))) 1) N))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (log (/ -1 N)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (+ (* 1/4 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))) (* 1/2 (/ (- (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N)))))) (log (/ -1 N)))))) N)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 N)))))) (log (/ -1 N)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) (* 1/2 (/ (- (/ (log -1) (log (/ -1 N))) (+ 1 (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))))) (log (/ -1 N))))) N)) (/ (log -1) (log (/ -1 N)))) 1) N))
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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))))
(/ N (log N))
(* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (* 1/2 (/ 1 (pow (log N) 2)))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* N (- (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/4 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))) (* 2/3 (/ 1 (pow (log N) 2)))))))))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
1/2
(- 1/2 (* 1/4 (/ 1 (* N (log (/ 1 N))))))
(- (+ 1/2 (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))
(- (+ 1/2 (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 2))) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (+ (* 1/8 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))))
(* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N))))
(+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N)))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N)))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ 1 (log (/ -1 N)))) (+ (* -1/12 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))) (* 1/2 (/ (- (* 1/4 (/ 1 (log (/ -1 N)))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) (log (/ -1 N))))))) N)) (* 1/4 (/ 1 (log (/ -1 N))))) (+ (* -1/8 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) (log (/ -1 N)))))) N)) (* 1/2 (/ 1 (log (/ -1 N))))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (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)))
(/ 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)
(/ 1/16 (pow N 6))
(/ (+ 1/16 (* -1/6 N)) (pow N 6))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 6))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/12 N))) 1/6))) (pow N 6))
(/ 1/2 N)
(/ (- 1/2 (* 1/12 (/ 1 N))) N)
(/ (+ 1/2 (* -1 (/ (+ 1/12 (* 1/12 (/ 1 N))) N))) N)
(/ (- (+ 1/2 (* 13/36 (/ 1 (pow N 3)))) (+ (/ 1/12 (pow N 2)) (* 1/12 (/ 1 N)))) N)
(/ 1/2 N)
(* -1 (/ (- (* 1/12 (/ 1 N)) 1/2) N))
(* -1 (/ (- (+ (/ 1/12 (pow N 2)) (* 1/12 (/ 1 N))) 1/2) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1/12 (* 13/36 (/ 1 N))) N)) 1/12) N)) 1/2) N))
(/ 1/16 (pow N 6))
(/ (+ 1/16 (* -1/6 N)) (pow N 6))
(/ (+ 1/16 (* N (- (* 13/36 N) 1/6))) (pow N 6))
(/ (+ 1/16 (* N (- (* N (+ 13/36 (* -1/3 N))) 1/6))) (pow N 6))
(/ 1/4 (pow N 2))
(/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 2))
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (* 1/3 (/ 1 N))) (pow N 2))
(/ (- (+ 1/4 (/ 13/36 (pow N 2))) (+ (* 1/3 (/ 1 N)) (* 1/6 (/ 1 (pow N 3))))) (pow N 2))
(/ 1/4 (pow N 2))
(/ (- 1/4 (* 1/3 (/ 1 N))) (pow N 2))
(/ (+ 1/4 (* -1 (/ (- 1/3 (* 13/36 (/ 1 N))) N))) (pow N 2))
(/ (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 13/36 (* 1/6 (/ 1 N))) N))) N))) (pow N 2))
(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 (log N) 2)
(+ (* N (+ (log N) (* -1 (log N)))) (pow (log N) 2))
(+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (* 1/2 (log N))) 1))))) (pow (log N) 2))
(+ (* N (+ (log N) (+ (* -1 (log N)) (* N (- (+ (* -1/2 (log N)) (+ (* 1/2 (log N)) (* N (+ 1 (+ (* -1/3 (log N)) (* 1/3 (log N))))))) 1))))) (pow (log N) 2))
(* 2 (/ (log (/ 1 N)) N))
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (* 2 (log (/ 1 N)))) (/ 1 N)) N)
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2))))) (/ 1 N)) N)
(/ (- (+ (* -1 (/ (log (/ 1 N)) N)) (+ (* -1/2 (/ (log (/ 1 N)) (pow N 3))) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 (pow N 2)))))) (+ (/ 1 N) (* 11/12 (/ 1 (pow N 3))))) N)
(* 2 (/ (log (/ -1 N)) N))
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (* -1 (log (/ -1 N))) 1) N))) N))
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (* -2/3 (log (/ -1 N))) 1) N))) 1) N))) N))
(* -1 (/ (+ (* -2 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (log (/ -1 N))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (log (/ -1 N))) 11/12) N)) (* -2/3 (log (/ -1 N)))) 1) N))) 1) N))) N))
(pow (log N) 2)
(pow (log N) 2)
(pow (log N) 2)
(pow (log N) 2)
(pow (log (/ 1 N)) 2)
(pow (log (/ 1 N)) 2)
(pow (log (/ 1 N)) 2)
(pow (log (/ 1 N)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
(log N)
(+ (log N) (* -1 N))
(+ (log N) (* N (- (* N (+ 1/2 (/ 1 (log N)))) 1)))
(+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1)))
(* -1/2 (log (/ 1 N)))
(- (* -1/2 (log (/ 1 N))) (* 1/4 (/ 1 N)))
(- (+ (* -1/2 (log (/ 1 N))) (/ 1/8 (pow N 2))) (+ (* 1/4 (/ 1 N)) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))))
(- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3)))))))
(* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))
(+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))))
(+ (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
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 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (+.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))
(* -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 (*.f64 N #s(literal -16/3 binary64)) #s(literal -4 binary64)))
(* (pow N 4) (- (* N (- (* 8/9 N) 16/3)) 4))
(*.f64 (pow.f64 N #s(literal 4 binary64)) (+.f64 (*.f64 N (+.f64 (*.f64 N #s(literal 8/9 binary64)) #s(literal -16/3 binary64))) #s(literal -4 binary64)))
(* (pow N 4) (- (* N (- (* N (+ 8/9 (* -112/27 N))) 16/3)) 4))
(*.f64 (pow.f64 N #s(literal 4 binary64)) (+.f64 (*.f64 N (+.f64 (*.f64 N (+.f64 #s(literal 8/9 binary64) (*.f64 N #s(literal -112/27 binary64)))) #s(literal -16/3 binary64))) #s(literal -4 binary64)))
N
(* N (+ 1 (* 1/2 (/ 1 N))))
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(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (*.f64 N (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))))
(+ (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3))))) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (*.f64 N (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (*.f64 N (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))) N))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3)))) (* N (log (/ -1 N))))) (+ (* -1/12 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 2)))) (* 1/16 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (* N (pow (log (/ -1 N)) 3)))))) (+ (* -1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2))) (* 1/8 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 3))))) N)) (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N)))))
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) N))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))) (*.f64 N (log.f64 (/.f64 #s(literal -1 binary64) N)))) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (*.f64 N (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (*.f64 N (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) N)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64))))) N))

eval421.0ms (2.9%)

Compiler

Compiled 128047 to 8092 computations (93.7% saved)

prune365.0ms (2.5%)

Pruning

62 alts after pruning (54 fresh and 8 done)

PrunedKeptTotal
New2239262265
Fresh112839
Picked145
Done145
Total2252622314
Accuracy
99.7%
Counts
2314 → 62
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.7%
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
27.9%
(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)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
27.9%
(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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
27.8%
(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 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))))))) (neg.f64 (/.f64 (pow.f64 (log.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)))))))))
26.6%
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
25.9%
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
26.4%
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
28.1%
(/.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 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64)))))
27.8%
(/.f64 (fma.f64 (log.f64 N) (log.f64 N) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64)))))
26.1%
(/.f64 (/.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)) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64)))))
95.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/8 binary64)) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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)
93.9%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) (*.f64 N (*.f64 N N))) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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)
95.0%
(/.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)
26.0%
(/.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))))
25.8%
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))))
27.6%
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64)))))
26.0%
(/.f64 (-.f64 (pow.f64 (exp.f64 (log.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) (+.f64 N #s(literal 1 binary64)))))
26.1%
(/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64))) (/.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)))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))))
89.9%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))))
26.1%
(/.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)))) (*.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)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
25.9%
(/.f64 (-.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 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
94.9%
(/.f64 (-.f64 N (*.f64 N (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))) (*.f64 N N))
93.7%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
95.2%
(/.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)
90.7%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
93.7%
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
90.5%
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
26.1%
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64))) (/.f64 #s(literal 1 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 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)))))
29.1%
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
29.1%
(/.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
29.6%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
93.7%
(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))))
95.2%
(/.f64 #s(literal 1 binary64) (/.f64 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))))
95.2%
(/.f64 #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 -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)))
95.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.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))
95.6%
(/.f64 #s(literal 1 binary64) (*.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)))
94.2%
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N)))))
95.6%
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.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))))))
91.4%
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
82.6%
(/.f64 #s(literal 1 binary64) N)
95.1%
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))
26.1%
(-.f64 (log1p.f64 N) (log.f64 N))
25.8%
(-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
23.9%
(*.f64 (/.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))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
29.6%
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #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)))))
29.6%
(*.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 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
29.6%
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
24.1%
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (/.f64 (neg.f64 (-.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))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
29.6%
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (-.f64 (log.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N))) (log.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
29.6%
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (-.f64 (log.f64 (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N)))) (log.f64 (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (*.f64 N N) (*.f64 N (*.f64 N N)))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
29.6%
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (-.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))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
29.6%
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
29.6%
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
29.1%
(*.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)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))))
26.0%
(*.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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)))))))))
29.1%
(*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))))
29.6%
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
29.2%
(neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N))))
29.6%
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
29.1%
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
27.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal -1 binary64)))
29.1%
(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 3278 to 1757 computations (46.4% saved)

simplify234.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
cost-diff0
(log1p.f64 N)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
cost-diff6400
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
cost-diff0
(log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N))
cost-diff0
(-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
cost-diff0
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64)))))
cost-diff128
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #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)))))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))
cost-diff128
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N))
cost-diff256
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))
cost-diff0
(*.f64 N N)
cost-diff0
(+.f64 N #s(literal -1/2 binary64))
cost-diff0
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
cost-diff0
(+.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))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.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)))
cost-diff128
(/.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))
cost-diff384
(*.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))
Rules
2924×*-lowering-*.f32
2924×*-lowering-*.f64
1694×sum3-define
1530×/-lowering-/.f32
1530×/-lowering-/.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
062451
1184421
2409407
31133402
43790395
08341395
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N)))
1
(* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N))
(+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1)
(/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 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
N
(- 0 N)
0
-1
(/ (+ N -1/2) (* N N))
(+ N -1/2)
N
-1/2
(* N N)
(/ (- (/ 1 (* N (* N N))) (/ 1/8 (* (* N (* N N)) (* N (* N N))))) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))))
(- (/ 1 (* N (* N N))) (/ 1/8 (* (* N (* N N)) (* N (* N N)))))
(/ 1 (* N (* N N)))
1
(* N (* N N))
N
(* N N)
(/ 1/8 (* (* N (* N N)) (* N (* N N))))
1/8
(* (* N (* N N)) (* N (* N N)))
(+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))
(* (/ 1 N) (/ 1 N))
(/ 1 N)
(+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))
(* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N))
(/ (/ 1/2 N) N)
(/ 1/2 N)
1/2
(* (/ 1 N) (/ (/ 1/2 N) N))
(* (/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1)))) (* (log (* N (+ 1 N))) (log (/ N (+ 1 N)))))
(/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1))))
-1
(- (log (* (+ (* N N) -1) N)) (log (+ N -1)))
(log (* (+ (* N N) -1) N))
(* (+ (* N N) -1) N)
(+ (* N N) -1)
(* N N)
N
(log (+ N -1))
(+ N -1)
(* (log (* N (+ 1 N))) (log (/ N (+ 1 N))))
(log (* N (+ 1 N)))
(* N (+ 1 N))
(+ 1 N)
1
(log (/ N (+ 1 N)))
(/ N (+ 1 N))
(+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ N 1))))) (neg (/ 1 (/ (log (* N (+ 1 N))) (pow (log N) 2)))))
(log (+ 1 N))
N
(/ (log (+ 1 N)) (log (* N (+ N 1))))
(log (* N (+ N 1)))
(* N (+ N 1))
(+ N 1)
1
(neg (/ 1 (/ (log (* N (+ 1 N))) (pow (log N) 2))))
(/ 1 (/ (log (* N (+ 1 N))) (pow (log N) 2)))
(/ (log (* N (+ 1 N))) (pow (log N) 2))
(log (* N (+ 1 N)))
(* N (+ 1 N))
(+ 1 N)
(pow (log N) 2)
(log N)
2
Outputs
(/ 1 (* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 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)
(* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N))
(+.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/24 binary64) N)) N)))
(+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 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)) N) #s(literal -1 binary64))
(/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 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)
N
(- 0 N)
(-.f64 #s(literal 0 binary64) N)
0
#s(literal 0 binary64)
-1
#s(literal -1 binary64)
(/ (+ N -1/2) (* N N))
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N)
(+ N -1/2)
(+.f64 N #s(literal -1/2 binary64))
N
-1/2
#s(literal -1/2 binary64)
(* N N)
(*.f64 N N)
(/ (- (/ 1 (* N (* N N))) (/ 1/8 (* (* N (* N N)) (* N (* N N))))) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 N N)) N) (*.f64 N (*.f64 N N)))) (*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)))))
(- (/ 1 (* N (* N N))) (/ 1/8 (* (* N (* N N)) (* N (* N N)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 N N)) N) (*.f64 N (*.f64 N N))))
(/ 1 (* N (* N N)))
(/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))
1
#s(literal 1 binary64)
(* N (* N N))
(*.f64 N (*.f64 N N))
N
(* N N)
(*.f64 N N)
(/ 1/8 (* (* N (* N N)) (* N (* N N))))
(/.f64 (/.f64 #s(literal 1/8 binary64) N) (*.f64 (*.f64 N N) (*.f64 N (*.f64 N N))))
1/8
#s(literal 1/8 binary64)
(* (* N (* N N)) (* N (* N N)))
(*.f64 N (*.f64 (*.f64 N N) (*.f64 N (*.f64 N N))))
(+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N))))
(*.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N))))
(* (/ 1 N) (/ 1 N))
(/.f64 (/.f64 #s(literal 1 binary64) N) N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)) (*.f64 N N))
(* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N))
(/.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) N) (*.f64 N N)) N)
(/ (/ 1/2 N) N)
(/.f64 #s(literal 1/2 binary64) (*.f64 N N))
(/ 1/2 N)
(/.f64 #s(literal 1/2 binary64) N)
1/2
#s(literal 1/2 binary64)
(* (/ 1 N) (/ (/ 1/2 N) N))
(/.f64 #s(literal 1/2 binary64) (*.f64 N (*.f64 N N)))
(* (/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1)))) (* (log (* N (+ 1 N))) (log (/ N (+ 1 N)))))
(/.f64 (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N))))))
(/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) (log.f64 (+.f64 N #s(literal -1 binary64)))))
-1
#s(literal -1 binary64)
(- (log (* (+ (* N N) -1) N)) (log (+ N -1)))
(-.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) (log.f64 (+.f64 N #s(literal -1 binary64))))
(log (* (+ (* N N) -1) N))
(log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N))))
(* (+ (* N N) -1) N)
(*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))
(+ (* N N) -1)
(+.f64 #s(literal -1 binary64) (*.f64 N N))
(* N N)
(*.f64 N N)
N
(log (+ N -1))
(log.f64 (+.f64 N #s(literal -1 binary64)))
(+ N -1)
(+.f64 N #s(literal -1 binary64))
(* (log (* N (+ 1 N))) (log (/ N (+ 1 N))))
(*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (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
#s(literal 1 binary64)
(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))
(+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ N 1))))) (neg (/ 1 (/ (log (* N (+ 1 N))) (pow (log N) 2)))))
(-.f64 (*.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(log (+ 1 N))
(log1p.f64 N)
N
(/ (log (+ 1 N)) (log (* N (+ N 1))))
(/.f64 (log1p.f64 N) (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 1)
(+.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
(neg (/ 1 (/ (log (* N (+ 1 N))) (pow (log N) 2))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(/ 1 (/ (log (* N (+ 1 N))) (pow (log N) 2)))
(/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(/ (log (* N (+ 1 N))) (pow (log N) 2))
(/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(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)
(pow (log N) 2)
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(log N)
(log.f64 N)
2
#s(literal 2 binary64)

localize1.2s (8.1%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
accuracy99.9%
(/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
accuracy99.9%
(pow.f64 (log.f64 N) #s(literal 2 binary64))
accuracy98.7%
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
accuracy99.9%
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64)))))
accuracy99.9%
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #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)))))
accuracy99.9%
(-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
accuracy99.1%
(log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))
accuracy99.9%
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N))
accuracy99.9%
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N))
accuracy99.9%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))))
accuracy99.9%
(*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)))
accuracy100.0%
(+.f64 N #s(literal -1/2 binary64))
accuracy100.0%
(*.f64 N N)
accuracy100.0%
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
accuracy99.9%
(/.f64 #s(literal 1 binary64) (*.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)))
accuracy99.9%
(+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N))
accuracy99.9%
(*.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))
accuracy99.9%
(/.f64 #s(literal -1/24 binary64) N)
Results
971.0ms223×5exit
27.0ms33×0valid
Compiler

Compiled 562 to 62 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 467.0ms
backward-pass: 188.0ms (40.2% of total)
ival-div: 62.0ms (13.3% of total)
ival-log: 58.0ms (12.4% of total)
ival-mult: 53.0ms (11.3% of total)
ival-add: 29.0ms (6.2% of total)
compiled-spec: 27.0ms (5.8% of total)
...c/correct-round.rkt:119:19: 23.0ms (4.9% of total)
ival-sub: 14.0ms (3% of total)
ival-pow: 7.0ms (1.5% of total)
const: 3.0ms (0.6% of total)
ival-neg: 3.0ms (0.6% of total)

series48.0ms (0.3%)

Counts
26 → 312
Calls
Call 1
Inputs
#<alt (* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N))>
#<alt (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N))>
#<alt (/ 1 (* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N)))>
#<alt (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1)>
#<alt (/ (+ N -1/2) (* N N))>
#<alt (+ N -1/2)>
#<alt (* N N)>
#<alt (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))>
#<alt (* (/ 1 N) (/ 1 N))>
#<alt (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N))>
#<alt (* (/ 1 N) (/ (/ 1/2 N) N))>
#<alt (* (/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1)))) (* (log (* N (+ 1 N))) (log (/ N (+ 1 N)))))>
#<alt (/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1))))>
#<alt (- (log (* (+ (* N N) -1) N)) (log (+ N -1)))>
#<alt (log (* (+ (* N N) -1) N))>
#<alt (+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ N 1))))) (neg (/ 1 (/ (log (* N (+ 1 N))) (pow (log N) 2)))))>
#<alt (/ 1 (/ (log (* N (+ 1 N))) (pow (log N) 2)))>
#<alt (log (+ 1 N))>
#<alt (/ (log (+ 1 N)) (log (* N (+ N 1))))>
#<alt (/ -1/24 N)>
#<alt (+ 1/12 (/ -1/24 N))>
#<alt (* (* N (* N N)) (* N (* N N)))>
#<alt (/ (- (/ 1 (* N (* N N))) (/ 1/8 (* (* N (* N N)) (* N (* N N))))) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))))>
#<alt (log (/ N (+ 1 N)))>
#<alt (pow (log N) 2)>
#<alt (/ (log (* N (+ 1 N))) (pow (log 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 (/ (- (* 1/12 N) 1/24) (pow N 3))>
#<alt (/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))>
#<alt (/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))>
#<alt (/ -1/2 N)>
#<alt (/ (- (* 1/12 (/ 1 N)) 1/2) N)>
#<alt (/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)>
#<alt (/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)>
#<alt (/ -1/2 N)>
#<alt (* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) 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 (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>
#<alt (- N 1/2)>
#<alt (- N 1/2)>
#<alt (- N 1/2)>
#<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 (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))>
#<alt (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))>
#<alt (* -1 (* N (- (* 1/2 (/ 1 N)) 1)))>
#<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 (/ 1/4 (pow N 4))>
#<alt (/ (+ 1/4 (* 1/2 N)) (pow N 4))>
#<alt (/ (+ 1/4 (* 1/2 N)) (pow N 4))>
#<alt (/ (+ 1/4 (* 1/2 N)) (pow N 4))>
#<alt (/ 1/2 (pow N 3))>
#<alt (/ (+ 1/2 (* 1/4 (/ 1 N))) (pow N 3))>
#<alt (/ (+ 1/2 (* 1/4 (/ 1 N))) (pow N 3))>
#<alt (/ (+ 1/2 (* 1/4 (/ 1 N))) (pow N 3))>
#<alt (/ 1/2 (pow N 3))>
#<alt (/ (+ 1/2 (* 1/4 (/ 1 N))) (pow N 3))>
#<alt (/ (+ 1/2 (* 1/4 (/ 1 N))) (pow N 3))>
#<alt (/ (+ 1/2 (* 1/4 (/ 1 N))) (pow N 3))>
#<alt (/ 1 (pow N 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ 1/4 (pow N 4))>
#<alt (/ 1/4 (pow N 4))>
#<alt (/ 1/4 (pow N 4))>
#<alt (/ 1/4 (pow N 4))>
#<alt (/ 1/4 (pow N 4))>
#<alt (/ 1/4 (pow N 4))>
#<alt (/ 1/4 (pow N 4))>
#<alt (/ 1/4 (pow N 4))>
#<alt (/ 1/4 (pow N 4))>
#<alt (/ 1/4 (pow N 4))>
#<alt (/ 1/4 (pow N 4))>
#<alt (/ 1/4 (pow N 4))>
#<alt (/ 1/2 (pow N 3))>
#<alt (/ 1/2 (pow N 3))>
#<alt (/ 1/2 (pow N 3))>
#<alt (/ 1/2 (pow N 3))>
#<alt (/ 1/2 (pow N 3))>
#<alt (/ 1/2 (pow N 3))>
#<alt (/ 1/2 (pow N 3))>
#<alt (/ 1/2 (pow N 3))>
#<alt (/ 1/2 (pow N 3))>
#<alt (/ 1/2 (pow N 3))>
#<alt (/ 1/2 (pow N 3))>
#<alt (/ 1/2 (pow N 3))>
#<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 (* -2 (/ (log (/ 1 N)) (* N (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))))>
#<alt (/ (+ (* -2 (/ (log (/ 1 N)) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (* -1 (/ (- (* -1 (/ (log (/ 1 N)) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (+ (* 2 (/ (log (/ 1 N)) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))) (/ 1 (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N))))))) N))) N)>
#<alt (/ (+ (* -2 (/ (log (/ 1 N)) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (+ (* -1 (/ (- (* -1 (/ (log (/ 1 N)) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (+ (* 2 (/ (log (/ 1 N)) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))) (/ 1 (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N))))))) N)) (* -1 (/ (- (+ (* 2/3 (/ (log (/ 1 N)) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (+ (* 2 (/ (log (/ 1 N)) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 3))) (+ (/ 1 (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (/ 1 (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (* -2 (/ (log (/ 1 N)) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (pow N 2))))) N)>
#<alt (/ (+ (* -2 (/ (log (/ 1 N)) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (+ (* -1 (/ (- (* -1 (/ (log (/ 1 N)) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (+ (* 2 (/ (log (/ 1 N)) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))) (/ 1 (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N))))))) N)) (+ (* -1 (/ (- (+ (* -2 (/ (log (/ 1 N)) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 3))) (* -1/2 (/ (log (/ 1 N)) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N))))))) (+ (* -1/2 (/ (- (* -1 (/ (log (/ 1 N)) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (+ (* 2 (/ (log (/ 1 N)) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))) (/ 1 (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N))))))) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (+ (* 11/12 (/ 1 (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (+ (* 4/3 (/ (log (/ 1 N)) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))) (+ (* 2 (/ (log (/ 1 N)) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 4))) (+ (/ 1 (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)) (/ 1 (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 3)))))))) (pow N 3))) (* -1 (/ (- (+ (* 2/3 (/ (log (/ 1 N)) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (+ (* 2 (/ (log (/ 1 N)) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 3))) (+ (/ 1 (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (/ 1 (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (* -2 (/ (log (/ 1 N)) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (pow N 2)))))) N)>
#<alt (* -2 (/ (log (/ -1 N)) (* N (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))))>
#<alt (* -1 (/ (- (+ (* -1 (/ (log (/ -1 N)) (* N (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))) (* 2 (/ (log (/ -1 N)) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))) (+ (* 2 (/ (log (/ -1 N)) (* N (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2)))) (/ 1 (* N (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))))) N))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* -1 (/ (log (/ -1 N)) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2))) (/ 1 (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))))) (* -2/3 (/ (log (/ -1 N)) (* N (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))))) (+ (* -1 (/ (- (* -1 (/ (log (/ -1 N)) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2))) (/ 1 (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))) (* N (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))) (+ (/ 1 (* N (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))) (/ (log (/ -1 N)) (* N (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2)))))) N)) (* 2 (/ (log (/ -1 N)) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))) N))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (/ (log (/ -1 N)) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2))) (/ 1 (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))))) (* -1 (/ (- (+ (* -1 (- (* -2/3 (/ (log (/ -1 N)) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (- (* -1 (/ (log (/ -1 N)) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2))) (/ 1 (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))) (+ (/ 1 (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))) (/ (log (/ -1 N)) (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2)))))) (* -1/2 (/ (log (/ -1 N)) (* N (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))))) (+ (* -1 (/ (- (* -2/3 (/ (log (/ -1 N)) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (- (* -1 (/ (log (/ -1 N)) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2))) (/ 1 (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))) (+ (/ 1 (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))) (/ (log (/ -1 N)) (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2))))) (* N (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))) (+ (* -1/2 (/ (- (* -1 (/ (log (/ -1 N)) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2))) (/ 1 (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))) (* N (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))) (+ (* 2/3 (/ (log (/ -1 N)) (* N (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2)))) (/ 11/12 (* N (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))))))) N))) N)) (* 2 (/ (log (/ -1 N)) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))) N))>
#<alt (/ -1 (log N))>
#<alt (- (/ N (pow (log N) 2)) (/ 1 (log N)))>
#<alt (- (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))>
#<alt (- (* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (pow (log N) 3)))) (* -1 (/ (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))>
#<alt (/ -1 (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))>
#<alt (- (/ 1 (* N (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))) (/ 1 (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N))))))>
#<alt (- (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))) (/ 1 (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 3))) (pow N 2))) (/ 1 (* N (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (/ 1 (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N))))))>
#<alt (- (+ (/ 1/3 (* (pow N 3) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))) (+ (/ 1/2 (* (pow N 3) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 3))) (/ 1 (* N (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))) (/ 1 (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 3))) (* (pow N 3) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N))))))) (+ (* 1/2 (/ 1 (* (pow N 2) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (+ (/ 1 (* (pow N 2) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 3))) (/ 1 (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))))))>
#<alt (/ -1 (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))>
#<alt (- (/ 1 (* N (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2))) (/ 1 (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))>
#<alt (- (* -1 (/ (- (+ (/ 1/2 (* N (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2))) (/ 1 (* N (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 3)))) (/ 1 (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2))) N)) (/ 1 (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))>
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#<alt (+ (/ 1 (log N)) (/ N (pow (log N) 2)))>
#<alt (+ (* N (+ (* -1/2 (/ N (pow (log N) 2))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))>
#<alt (+ (* N (+ (* N (- (* 1/3 (/ N (pow (log N) 2))) (* 1/2 (/ 1 (pow (log N) 2))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))>
#<alt (/ -2 (log (/ 1 N)))>
#<alt (- (/ 1 (* N (pow (log (/ 1 N)) 2))) (* 2 (/ 1 (log (/ 1 N)))))>
#<alt (- (/ 1 (* N (pow (log (/ 1 N)) 2))) (+ (/ 1/2 (* (pow N 2) (pow (log (/ 1 N)) 2))) (* 2 (/ 1 (log (/ 1 N))))))>
#<alt (- (+ (/ 1 (* N (pow (log (/ 1 N)) 2))) (* 1/3 (/ 1 (* (pow N 3) (pow (log (/ 1 N)) 2))))) (+ (* 2 (/ 1 (log (/ 1 N)))) (* 1/2 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))>
#<alt (* -2 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))>
#<alt (+ (* -2 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (/ 1 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))>
#<alt (+ (* -2 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* -1 (/ (- (* 1/2 (/ 1 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)))>
#<alt (+ (* -2 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))) N)) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) N)))>
Calls

78 calls:

TimeVariablePointExpression
5.0ms
N
@inf
(* (/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1)))) (* (log (* N (+ 1 N))) (log (/ N (+ 1 N)))))
5.0ms
N
@-inf
(* (/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1)))) (* (log (* N (+ 1 N))) (log (/ N (+ 1 N)))))
3.0ms
N
@inf
(/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1))))
2.0ms
N
@-inf
(/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1))))
1.0ms
N
@-inf
(/ (log (* N (+ 1 N))) (pow (log N) 2))

rewrite386.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
2736×fma-lowering-fma.f32
2736×fma-lowering-fma.f64
2486×/-lowering-/.f32
2486×/-lowering-/.f64
2260×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062258
1468219
24836217
08056217
Stop Event
iter limit
node limit
Counts
26 → 556
Calls
Call 1
Inputs
(* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N))
(/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N))
(/ 1 (* (+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1) (- 0 N)))
(+ (/ (- 1/2 (/ (+ 1/12 (/ -1/24 N)) N)) (- 0 N)) -1)
(/ (+ N -1/2) (* N N))
(+ N -1/2)
(* N N)
(+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))
(* (/ 1 N) (/ 1 N))
(* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N))
(* (/ 1 N) (/ (/ 1/2 N) N))
(* (/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1)))) (* (log (* N (+ 1 N))) (log (/ N (+ 1 N)))))
(/ -1 (- (log (* (+ (* N N) -1) N)) (log (+ N -1))))
(- (log (* (+ (* N N) -1) N)) (log (+ N -1)))
(log (* (+ (* N N) -1) N))
(+ (* (log (+ 1 N)) (/ (log (+ 1 N)) (log (* N (+ N 1))))) (neg (/ 1 (/ (log (* N (+ 1 N))) (pow (log N) 2)))))
(/ 1 (/ (log (* N (+ 1 N))) (pow (log N) 2)))
(log (+ 1 N))
(/ (log (+ 1 N)) (log (* N (+ N 1))))
(/ -1/24 N)
(+ 1/12 (/ -1/24 N))
(* (* N (* N N)) (* N (* N N)))
(/ (- (/ 1 (* N (* N N))) (/ 1/8 (* (* N (* N N)) (* N (* N N))))) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (/ 1 N) (/ (/ 1/2 N) N)))))
(log (/ N (+ 1 N)))
(pow (log N) 2)
(/ (log (* N (+ 1 N))) (pow (log N) 2))
Outputs
(+.f64 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)))
(+.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 (-.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 0 binary64) N) #s(literal -1 binary64)))
(+.f64 (*.f64 (+.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)) #s(literal 0 binary64)) (neg.f64 (*.f64 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) #s(literal -1 binary64)))))
(+.f64 (*.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)) N)
(+.f64 (*.f64 #s(literal 0 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))) (neg.f64 (*.f64 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) #s(literal -1 binary64)))))
(fma.f64 N #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 0 binary64) N)))
(fma.f64 #s(literal 0 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)) (neg.f64 (*.f64 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) #s(literal -1 binary64)))))
(fma.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 0 binary64) N) #s(literal -1 binary64)))
(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)))
(fma.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) N)
(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 (/.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)) #s(literal 0 binary64) (neg.f64 (*.f64 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) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 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)))
(neg.f64 (*.f64 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) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 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) #s(literal -1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 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) #s(literal -1 binary64)))))
(/.f64 (*.f64 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) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.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 (/.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (*.f64 (*.f64 N N) (-.f64 (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal 1 binary64)) (/.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)))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N (*.f64 N N))) (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal -1 binary64))) (*.f64 (*.f64 N 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) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.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 (/.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (*.f64 N (-.f64 (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal 1 binary64)) (/.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)))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal -1 binary64))) (*.f64 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) #s(literal 1 binary64))))
(/.f64 (*.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 (/.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 #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) (*.f64 N (*.f64 N N)))) (*.f64 (-.f64 (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal 1 binary64)) (/.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))))) (*.f64 N N)))
(/.f64 (*.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 (/.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 #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) (*.f64 N N))) (*.f64 (-.f64 (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal 1 binary64)) (/.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))))) N))
(/.f64 (*.f64 (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 N (*.f64 N N)))) (*.f64 (+.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 N N)))
(/.f64 (*.f64 (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 N N))) (*.f64 (+.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)) 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)) 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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (-.f64 (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal 1 binary64)) (/.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))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #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 (*.f64 (+.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 N (*.f64 N N)))) (*.f64 N N))
(/.f64 (*.f64 (+.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 N N))) N)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N (*.f64 N 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) #s(literal -1 binary64))) (*.f64 N N))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N 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) #s(literal -1 binary64))) N)
(/.f64 (*.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 (/.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 #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)) (-.f64 (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal 1 binary64)) (/.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))))))
(/.f64 (*.f64 (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #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) #s(literal 1 binary64)))
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(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))
(-.f64 (log.f64 N) (log1p.f64 N))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) N)) (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) N) #s(literal -1 binary64))))
(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)))
(neg.f64 (log.f64 (/.f64 (+.f64 N #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 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (pow.f64 (log1p.f64 N) #s(literal 2 binary64))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 N))))
(pow.f64 (log.f64 N) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (log.f64 N))) #s(literal 2 binary64))
(*.f64 (log.f64 N) (log.f64 N))
(*.f64 (exp.f64 (log.f64 (log.f64 N))) (exp.f64 (log.f64 (log.f64 N))))
(neg.f64 (/.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) #s(literal 1 binary64)))
(/.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(/.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(/.f64 (/.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) #s(literal 1 binary64)) (pow.f64 (log.f64 N) #s(literal 2 binary64)))
(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(/.f64 (/.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 N)) (log.f64 N))
(pow.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))
(*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log.f64 N) #s(literal -2 binary64)))
(*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (/.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (log.f64 N) #s(literal -2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))

simplify366.0ms (2.5%)

Algorithm
egg-herbie
Rules
4860×+-lowering-+.f64
4860×+-lowering-+.f32
3480×*-lowering-*.f32
3480×*-lowering-*.f64
1816×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08686069
130155441
082905441
Stop Event
iter limit
node limit
Counts
312 → 312
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))
(/ (- (* 1/12 N) 1/24) (pow N 3))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/ (- (* N (+ 1/12 (* -1/2 N))) 1/24) (pow N 3))
(/ -1/2 N)
(/ (- (* 1/12 (/ 1 N)) 1/2) N)
(/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)
(/ (- (* 1/12 (/ 1 N)) (+ 1/2 (/ 1/24 (pow N 2)))) N)
(/ -1/2 N)
(* -1 (/ (- 1/2 (* 1/12 (/ 1 N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) N))
(* -1 (/ (+ 1/2 (* -1 (/ (- 1/12 (* 1/24 (/ 1 N))) N))) 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 (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 1/2)
(- N 1/2)
(- N 1/2)
N
(* N (- 1 (* 1/2 (/ 1 N))))
(* N (- 1 (* 1/2 (/ 1 N))))
(* N (- 1 (* 1/2 (/ 1 N))))
N
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(* -1 (* N (- (* 1/2 (/ 1 N)) 1)))
(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)
(/ 1/4 (pow N 4))
(/ (+ 1/4 (* 1/2 N)) (pow N 4))
(/ (+ 1/4 (* 1/2 N)) (pow N 4))
(/ (+ 1/4 (* 1/2 N)) (pow N 4))
(/ 1/2 (pow N 3))
(/ (+ 1/2 (* 1/4 (/ 1 N))) (pow N 3))
(/ (+ 1/2 (* 1/4 (/ 1 N))) (pow N 3))
(/ (+ 1/2 (* 1/4 (/ 1 N))) (pow N 3))
(/ 1/2 (pow N 3))
(/ (+ 1/2 (* 1/4 (/ 1 N))) (pow N 3))
(/ (+ 1/2 (* 1/4 (/ 1 N))) (pow N 3))
(/ (+ 1/2 (* 1/4 (/ 1 N))) (pow N 3))
(/ 1 (pow N 2))
(/ 1 (pow N 2))
(/ 1 (pow N 2))
(/ 1 (pow N 2))
(/ 1 (pow N 2))
(/ 1 (pow N 2))
(/ 1 (pow N 2))
(/ 1 (pow N 2))
(/ 1 (pow N 2))
(/ 1 (pow N 2))
(/ 1 (pow N 2))
(/ 1 (pow N 2))
(/ 1/4 (pow N 4))
(/ 1/4 (pow N 4))
(/ 1/4 (pow N 4))
(/ 1/4 (pow N 4))
(/ 1/4 (pow N 4))
(/ 1/4 (pow N 4))
(/ 1/4 (pow N 4))
(/ 1/4 (pow N 4))
(/ 1/4 (pow N 4))
(/ 1/4 (pow N 4))
(/ 1/4 (pow N 4))
(/ 1/4 (pow N 4))
(/ 1/2 (pow N 3))
(/ 1/2 (pow N 3))
(/ 1/2 (pow N 3))
(/ 1/2 (pow N 3))
(/ 1/2 (pow N 3))
(/ 1/2 (pow N 3))
(/ 1/2 (pow N 3))
(/ 1/2 (pow N 3))
(/ 1/2 (pow N 3))
(/ 1/2 (pow N 3))
(/ 1/2 (pow N 3))
(/ 1/2 (pow N 3))
(* -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)))))
(* -2 (/ (log (/ 1 N)) (* N (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))))
(/ (+ (* -2 (/ (log (/ 1 N)) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (* -1 (/ (- (* -1 (/ (log (/ 1 N)) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (+ (* 2 (/ (log (/ 1 N)) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))) (/ 1 (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N))))))) N))) N)
(/ (+ (* -2 (/ (log (/ 1 N)) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (+ (* -1 (/ (- (* -1 (/ (log (/ 1 N)) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (+ (* 2 (/ (log (/ 1 N)) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))) (/ 1 (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N))))))) N)) (* -1 (/ (- (+ (* 2/3 (/ (log (/ 1 N)) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (+ (* 2 (/ (log (/ 1 N)) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 3))) (+ (/ 1 (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (/ 1 (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (* -2 (/ (log (/ 1 N)) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (pow N 2))))) N)
(/ (+ (* -2 (/ (log (/ 1 N)) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (+ (* -1 (/ (- (* -1 (/ (log (/ 1 N)) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (+ (* 2 (/ (log (/ 1 N)) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))) (/ 1 (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N))))))) N)) (+ (* -1 (/ (- (+ (* -2 (/ (log (/ 1 N)) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 3))) (* -1/2 (/ (log (/ 1 N)) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N))))))) (+ (* -1/2 (/ (- (* -1 (/ (log (/ 1 N)) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (+ (* 2 (/ (log (/ 1 N)) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))) (/ 1 (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N))))))) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (+ (* 11/12 (/ 1 (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (+ (* 4/3 (/ (log (/ 1 N)) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))) (+ (* 2 (/ (log (/ 1 N)) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 4))) (+ (/ 1 (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)) (/ 1 (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 3)))))))) (pow N 3))) (* -1 (/ (- (+ (* 2/3 (/ (log (/ 1 N)) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))) (+ (* 2 (/ (log (/ 1 N)) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 3))) (+ (/ 1 (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N))))) (/ 1 (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (* -2 (/ (log (/ 1 N)) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (pow N 2)))))) N)
(* -2 (/ (log (/ -1 N)) (* N (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))))
(* -1 (/ (- (+ (* -1 (/ (log (/ -1 N)) (* N (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))) (* 2 (/ (log (/ -1 N)) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))) (+ (* 2 (/ (log (/ -1 N)) (* N (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2)))) (/ 1 (* N (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))))) N))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* -1 (/ (log (/ -1 N)) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2))) (/ 1 (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))))) (* -2/3 (/ (log (/ -1 N)) (* N (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))))) (+ (* -1 (/ (- (* -1 (/ (log (/ -1 N)) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2))) (/ 1 (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))) (* N (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))) (+ (/ 1 (* N (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))) (/ (log (/ -1 N)) (* N (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2)))))) N)) (* 2 (/ (log (/ -1 N)) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))) N))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (/ (log (/ -1 N)) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2))) (/ 1 (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))))) (* -1 (/ (- (+ (* -1 (- (* -2/3 (/ (log (/ -1 N)) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (- (* -1 (/ (log (/ -1 N)) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2))) (/ 1 (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))) (+ (/ 1 (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))) (/ (log (/ -1 N)) (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2)))))) (* -1/2 (/ (log (/ -1 N)) (* N (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))))) (+ (* -1 (/ (- (* -2/3 (/ (log (/ -1 N)) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))) (+ (* -1 (/ (- (* -1 (/ (log (/ -1 N)) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2))) (/ 1 (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))) (+ (/ 1 (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))) (/ (log (/ -1 N)) (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2))))) (* N (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))) (+ (* -1/2 (/ (- (* -1 (/ (log (/ -1 N)) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))) (+ (* 2 (/ (log (/ -1 N)) (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2))) (/ 1 (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))) (* N (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))) (+ (* 2/3 (/ (log (/ -1 N)) (* N (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2)))) (/ 11/12 (* N (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))))))) N))) N)) (* 2 (/ (log (/ -1 N)) (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))) N))
(/ -1 (log N))
(- (/ N (pow (log N) 2)) (/ 1 (log N)))
(- (* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(- (* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (pow (log N) 2))) (* 1/2 (/ 1 (pow (log N) 3)))) (* -1 (/ (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))) (log N))))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (/ 1 (pow (log N) 3))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(/ -1 (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))
(- (/ 1 (* N (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))) (/ 1 (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N))))))
(- (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))) (/ 1 (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 3))) (pow N 2))) (/ 1 (* N (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (/ 1 (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N))))))
(- (+ (/ 1/3 (* (pow N 3) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))) (+ (/ 1/2 (* (pow N 3) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 3))) (/ 1 (* N (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2))) (/ 1 (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 3))) (* (pow N 3) (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N))))))) (+ (* 1/2 (/ 1 (* (pow N 2) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 2)))) (+ (/ 1 (* (pow N 2) (pow (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))) 3))) (/ 1 (- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N)))))))))
(/ -1 (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))))
(- (/ 1 (* N (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2))) (/ 1 (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))
(- (* -1 (/ (- (+ (/ 1/2 (* N (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2))) (/ 1 (* N (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 3)))) (/ 1 (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2))) N)) (/ 1 (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))))
(- (* -1 (/ (- (* -1 (/ (- (+ (/ 1/3 (* N (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2))) (+ (/ 1 (* N (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 3))) (/ 1 (* N (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 4))))) (+ (* 1/2 (/ 1 (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2))) (/ 1 (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 3)))) N)) (/ 1 (pow (- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N)))) 2))) N)) (/ 1 (- (* -3 (log (/ -1 N))) (* -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)))))
(- (* -3 (log (/ 1 N))) (* -1 (log (/ 1 N))))
(- (+ (* -3 (log (/ 1 N))) (/ 1 N)) (* -1 (log (/ 1 N))))
(- (+ (* -3 (log (/ 1 N))) (/ 1 N)) (+ (* -1 (log (/ 1 N))) (/ 1/2 (pow N 2))))
(- (+ (* -3 (log (/ 1 N))) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3))))) (+ (* -1 (log (/ 1 N))) (/ 1/2 (pow N 2))))
(- (* -3 (log (/ -1 N))) (* -1 (log (/ -1 N))))
(- (+ (* -3 (log (/ -1 N))) (/ 1 N)) (* -1 (log (/ -1 N))))
(- (+ (* -3 (log (/ -1 N))) (* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))) (* -1 (log (/ -1 N))))
(- (+ (* -3 (log (/ -1 N))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 N)) 1/2) N)) 1) N))) (* -1 (log (/ -1 N))))
(+ (log -1) (log N))
(+ (log -1) (+ (log N) (* -1 (pow N 2))))
(+ (log -1) (+ (log N) (* (pow N 2) (- (* -1/2 (pow N 2)) 1))))
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(+ (log N) (* N (- (* N (+ 1/2 (+ (* -1 (* N (+ 1/3 (+ (/ 1 (log N)) (/ 1 (pow (log N) 2)))))) (/ 1 (log N))))) 1)))
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(- (+ (* -1/2 (log (/ 1 N))) (+ (/ 1/16 (* (pow N 3) (log (/ 1 N)))) (/ 1/8 (pow N 2)))) (+ (* -1/2 (/ (- 1/8 (* 1/8 (/ 1 (log (/ 1 N))))) (* (pow N 3) (log (/ 1 N))))) (+ (* 1/4 (/ 1 N)) (+ (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))) (* 1/12 (/ 1 (pow N 3)))))))
(* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2) (log (/ -1 N))))
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N
(* N (+ 1 (* -1/2 N)))
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(* N (+ 1 (* N (- (* N (+ 1/3 (* -1/4 N))) 1/2))))
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(- (+ (* -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)))
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(/ N (log N))
(* N (+ (* -1 (* N (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (* 1/2 (/ 1 (pow (log N) 2)))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
(* N (+ (* N (- (* N (- (+ (* 1/3 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 2))) (* N (- (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (pow (log N) 2))) (+ (* 1/4 (/ 1 (log N))) (+ (* 1/2 (/ 1 (pow (log N) 3))) (+ (* 1/2 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))) (* 2/3 (/ 1 (pow (log N) 2)))))))))) (* -1 (/ (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))) (log N))))) (+ (* 1/2 (/ 1 (log N))) (/ 1 (pow (log N) 2))))) (/ 1 (log N))))
1/2
(- 1/2 (* 1/4 (/ 1 (* N (log (/ 1 N))))))
(- (+ 1/2 (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N)))))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))
(- (+ 1/2 (+ (/ 1/16 (* (pow N 3) (pow (log (/ 1 N)) 2))) (* 1/8 (/ 1 (* (pow N 2) (log (/ 1 N))))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (log (/ 1 N)))) (+ (* 1/8 (/ 1 (log (/ 1 N)))) (* 1/8 (/ 1 (pow (log (/ 1 N)) 2))))) (* (pow N 3) (log (/ 1 N))))) (+ (/ 1/12 (* (pow N 3) (log (/ 1 N)))) (+ (/ 1/4 (* N (log (/ 1 N)))) (* 1/8 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))))
(* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N))))
(+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ -1 N)))) (* -1/4 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (pow (log (/ -1 N)) 2)))) N)) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 N)))) (log (/ -1 N)))))
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(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
(/ -1/24 N)
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(/ -1/24 N)
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(/ -1/24 N)
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(/ -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)))
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(- 1/12 (* 1/24 (/ 1 N)))
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(pow N 6)
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(* -1 (/ (- (* 1/2 (/ 1 N)) 1) N))
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(/ (- (+ (* 1/2 (/ 1 N)) (* 1/4 (/ 1 (pow N 3)))) (+ 1 (/ 1/3 (pow N 2)))) N)
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(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 N))) N))) N))) N))
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(pow (log (/ 1 N)) 2)
(pow (log (/ 1 N)) 2)
(pow (log (/ 1 N)) 2)
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(pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)
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(+ (/ 1 (log N)) (/ N (pow (log N) 2)))
(+ (* N (+ (* -1/2 (/ N (pow (log N) 2))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(+ (* N (+ (* N (- (* 1/3 (/ N (pow (log N) 2))) (* 1/2 (/ 1 (pow (log N) 2))))) (/ 1 (pow (log N) 2)))) (/ 1 (log N)))
(/ -2 (log (/ 1 N)))
(- (/ 1 (* N (pow (log (/ 1 N)) 2))) (* 2 (/ 1 (log (/ 1 N)))))
(- (/ 1 (* N (pow (log (/ 1 N)) 2))) (+ (/ 1/2 (* (pow N 2) (pow (log (/ 1 N)) 2))) (* 2 (/ 1 (log (/ 1 N))))))
(- (+ (/ 1 (* N (pow (log (/ 1 N)) 2))) (* 1/3 (/ 1 (* (pow N 3) (pow (log (/ 1 N)) 2))))) (+ (* 2 (/ 1 (log (/ 1 N)))) (* 1/2 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2))))))
(* -2 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2)))
(+ (* -2 (/ (log (/ -1 N)) (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))) (/ 1 (* N (pow (+ (log -1) (* -1 (log (/ -1 N)))) 2))))
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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))
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(/ (+ 1/24 (* N (- (* N (+ 1/2 N)) 1/12))) (pow N 2))
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N
(* N (+ 1 (* 1/2 (/ 1 N))))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)))
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(*.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/12 binary64) (*.f64 N N)))))
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(* N (+ 1 (* 1/2 (/ 1 N))))
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eval153.0ms (1.1%)

Compiler

Compiled 39134 to 3465 computations (91.1% saved)

prune199.0ms (1.4%)

Pruning

76 alts after pruning (66 fresh and 10 done)

PrunedKeptTotal
New96526991
Fresh94049
Picked235
Done178
Total977761053
Accuracy
99.7%
Counts
1053 → 76
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.7%
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
27.9%
(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)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
27.9%
(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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
26.6%
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
25.9%
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
26.4%
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64))))))
28.1%
(/.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 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64)))))
27.8%
(/.f64 (fma.f64 (log.f64 N) (log.f64 N) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64)))))
26.1%
(/.f64 (/.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)) (pow.f64 (*.f64 (log.f64 N) (log1p.f64 N)) #s(literal 2 binary64))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64)))))
95.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/8 binary64)) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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)
93.9%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) (*.f64 N (*.f64 N N))) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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)
95.6%
(/.f64 (/.f64 #s(literal -1 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) #s(literal -1 binary64)))
26.0%
(/.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))))
25.8%
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))))
27.6%
(/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64)))))
26.0%
(/.f64 (-.f64 (pow.f64 (exp.f64 (log.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) (+.f64 N #s(literal 1 binary64)))))
26.1%
(/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64))) (/.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)))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))))
26.1%
(/.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)))) (*.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)))))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
25.9%
(/.f64 (-.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 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
93.7%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
95.2%
(/.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)
90.7%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
93.7%
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N))) N)
90.5%
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
26.1%
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64))) (/.f64 #s(literal 1 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 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 binary64)))))
29.1%
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
29.1%
(/.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
95.6%
(/.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) #s(literal -1 binary64)))) N)
82.4%
(/.f64 N (*.f64 N N))
95.5%
(/.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)))
95.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal -1 binary64))) (*.f64 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) #s(literal 1 binary64)))))
95.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.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 (/.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (*.f64 N (-.f64 (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal 1 binary64)) (/.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))))))))
95.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #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))))
95.7%
(/.f64 #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)) 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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (-.f64 (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal 1 binary64)) (/.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)))))))
29.6%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))))
93.7%
(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))))
95.7%
(/.f64 #s(literal 1 binary64) (+.f64 (*.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)) N))
95.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.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 (/.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))) (-.f64 (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal 1 binary64)) (/.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)))))) (-.f64 #s(literal 0 binary64) N)))
95.6%
(/.f64 #s(literal 1 binary64) (*.f64 (/.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 (/.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (-.f64 (/.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 N (+.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 binary64) (/.f64 N (+.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)))
95.6%
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) 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) #s(literal 1 binary64))) (/.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) N)))
95.6%
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))))) (-.f64 #s(literal 0 binary64) N)))
95.6%
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (-.f64 #s(literal 0 binary64) (*.f64 N N))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) N)))
95.6%
(/.f64 #s(literal 1 binary64) (*.f64 (-.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 #s(literal 0 binary64) (*.f64 N N)))) (-.f64 #s(literal 0 binary64) N)))
94.2%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
91.4%
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
82.6%
(/.f64 #s(literal 1 binary64) N)
95.6%
(/.f64 #s(literal -1 binary64) (*.f64 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) #s(literal -1 binary64))))
26.1%
(-.f64 (log1p.f64 N) (log.f64 N))
25.8%
(-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
95.3%
(*.f64 (/.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) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 N (*.f64 N N)))) (*.f64 N N))
95.2%
(*.f64 (/.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) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 N N))) N)
29.6%
(*.f64 (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N))) (+.f64 N #s(literal -1 binary64)))))))
95.6%
(*.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) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))
90.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
23.9%
(*.f64 (/.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))) (log.f64 (/.f64 N (+.f64 N #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)))))
27.7%
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -3 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (pow.f64 N #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 N N))) (log.f64 (+.f64 N #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)))))
27.1%
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -3 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 N N))) (*.f64 N N))) (log.f64 (+.f64 N #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)))))
26.0%
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))) (*.f64 (log.f64 (*.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)))))))
29.6%
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #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)))))
29.6%
(*.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 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
29.6%
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
24.1%
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (/.f64 (neg.f64 (-.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))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
29.6%
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (-.f64 (log.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N))) (log.f64 (*.f64 N (+.f64 N #s(literal -1 binary64))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
29.6%
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (-.f64 (log.f64 (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N)))) (log.f64 (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (*.f64 N N) (*.f64 N (*.f64 N N)))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
29.6%
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (-.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))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
29.6%
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) N) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
29.6%
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
29.1%
(*.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)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))))
26.0%
(*.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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)))))))))
29.1%
(*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))))
29.6%
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
29.2%
(neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N))))
29.6%
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
29.1%
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
27.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal -1 binary64)))
29.1%
(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 5953 to 1777 computations (70.1% saved)

regimes80.0ms (0.6%)

Counts
112 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
(/.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) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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)
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))
(/.f64 #s(literal -1 binary64) (*.f64 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) #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 -1/3 binary64) (/.f64 #s(literal 1/4 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 (/.f64 #s(literal -1 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) #s(literal -1 binary64)))
(/.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) #s(literal -1 binary64)))) 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)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.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))
(/.f64 #s(literal 1 binary64) (+.f64 (*.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)) N))
(/.f64 #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 -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)))
(/.f64 (-.f64 N (*.f64 N (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))) (*.f64 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 (+.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)))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (-.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N N))))) N)
(*.f64 (/.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) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 N N))) N)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.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))))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.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 #s(literal 0 binary64) (*.f64 N N)))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (-.f64 #s(literal 0 binary64) (*.f64 N N))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))))) (-.f64 #s(literal 0 binary64) N)))
(*.f64 (/.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) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 N (*.f64 N N)))) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (*.f64 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))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (/.f64 #s(literal 1 binary64) (+.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)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/8 binary64)) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #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 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal -1 binary64))) (*.f64 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) #s(literal 1 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) 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) #s(literal 1 binary64))) (/.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) N)))
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(*.f64 (/.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))) (log.f64 (/.f64 N (+.f64 N #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 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (/.f64 (neg.f64 (-.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))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(neg.f64 (/.f64 (+.f64 (neg.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 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
(*.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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)))))))))
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(/.f64 (-.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 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (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 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
(/.f64 (-.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 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 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 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) 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)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 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)))))) (/.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
(*.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (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 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N))) (+.f64 N #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 (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))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))) (*.f64 (log.f64 (*.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)))))))
(fma.f64 (log1p.f64 N) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 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))))))) (neg.f64 (/.f64 (pow.f64 (log.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 (-.f64 (pow.f64 (log1p.f64 N) #s(literal 9 binary64)) (pow.f64 (log.f64 N) #s(literal 9 binary64))) (/.f64 #s(literal 1 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 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) #s(literal 3 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)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (*.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (-.f64 (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log1p.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 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (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 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64))) (/.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)))) (+.f64 (/.f64 (pow.f64 (log1p.f64 N) #s(literal 4 binary64)) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 N) #s(literal 4 binary64)) (*.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 N) #s(literal 2 binary64))))) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))))
(/.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)))) (*.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)))))) (+.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 (/.f64 (pow.f64 (log.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (*.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)) N))
(*.f64 (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N))) (+.f64 N #s(literal -1 binary64)))))))
Calls

2 calls:

31.0ms
N
26.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
99.3%2N
99.3%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes66.0ms (0.5%)

Counts
102 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
(/.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) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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)
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))
(/.f64 #s(literal -1 binary64) (*.f64 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) #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 -1/3 binary64) (/.f64 #s(literal 1/4 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 (/.f64 #s(literal -1 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) #s(literal -1 binary64)))
(/.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) #s(literal -1 binary64)))) 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)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.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))
(/.f64 #s(literal 1 binary64) (+.f64 (*.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)) N))
(/.f64 #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 -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)))
(/.f64 (-.f64 N (*.f64 N (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))) (*.f64 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 (+.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)))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (-.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N N))))) N)
(*.f64 (/.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) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 N N))) N)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.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))))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.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 #s(literal 0 binary64) (*.f64 N N)))) (-.f64 #s(literal 0 binary64) N)))
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(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (-.f64 (log.f64 (+.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N)))) (log.f64 (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (*.f64 N N) (*.f64 N (*.f64 N N)))))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) 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 (-.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) (+.f64 N #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 N)) #s(literal -3 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (pow.f64 N #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 N N))) (log.f64 (+.f64 N #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 2 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 N))))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64)))))
(/.f64 (fma.f64 (log.f64 N) (log.f64 N) (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64)))))
(/.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 (/.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log.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) (+.f64 N #s(literal 1 binary64)))))
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #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)))) (/.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(fma.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(*.f64 (/.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))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))))) (*.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(*.f64 (/.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))) (log.f64 (/.f64 N (+.f64 N #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 #s(literal -1 binary64) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (*.f64 (/.f64 (neg.f64 (-.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))) (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N)))))
(neg.f64 (/.f64 (+.f64 (neg.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 (log.f64 N) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
(*.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 N) #s(literal 3 binary64))) (pow.f64 (log.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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)))))))))
(fma.f64 (log1p.f64 N) (/.f64 (log1p.f64 N) (-.f64 (log.f64 (*.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 N) #s(literal 2 binary64)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(/.f64 (-.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 N (+.f64 #s(literal 1 binary64) N))) (pow.f64 (log.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (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 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (pow.f64 (log1p.f64 N) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
(/.f64 (-.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 N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (log.f64 N) #s(literal 2 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 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) 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)))))) (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 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)))))) (/.f64 (log.f64 (/.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 N) #s(literal 2 binary64)) (*.f64 (log.f64 N) (log.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N))))))))
(*.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (+.f64 (pow.f64 (log.f64 N) #s(literal 3 binary64)) (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)))))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (*.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)) N))
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
Calls

2 calls:

29.0ms
N
24.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
99.3%2N
99.3%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes43.0ms (0.3%)

Counts
61 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
(/.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) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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)
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))
(/.f64 #s(literal -1 binary64) (*.f64 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) #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 -1/3 binary64) (/.f64 #s(literal 1/4 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 (/.f64 #s(literal -1 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) #s(literal -1 binary64)))
(/.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) #s(literal -1 binary64)))) 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)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.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))
(/.f64 #s(literal 1 binary64) (+.f64 (*.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)) N))
(/.f64 #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 -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)))
(/.f64 (-.f64 N (*.f64 N (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))) (*.f64 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 (+.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)))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (-.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N N))))) N)
(*.f64 (/.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) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 N N))) N)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.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))))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.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 #s(literal 0 binary64) (*.f64 N N)))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (-.f64 #s(literal 0 binary64) (*.f64 N N))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))))) (-.f64 #s(literal 0 binary64) N)))
(*.f64 (/.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) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 N (*.f64 N N)))) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (*.f64 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))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (/.f64 #s(literal 1 binary64) (+.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)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/8 binary64)) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #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 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal -1 binary64))) (*.f64 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) #s(literal 1 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) 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) #s(literal 1 binary64))) (/.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) N)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) (*.f64 N (*.f64 N N))) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.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 1 binary64) (*.f64 (/.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 (/.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (-.f64 (/.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 N (+.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 binary64) (/.f64 N (+.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)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.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 (/.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))) (-.f64 (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal 1 binary64)) (/.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)))))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #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)) 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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (-.f64 (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal 1 binary64)) (/.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)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.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 (/.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (*.f64 N (-.f64 (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal 1 binary64)) (/.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))))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (*.f64 N (*.f64 N N)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))))))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (*.f64 N N)))))
(neg.f64 (log.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
(-.f64 (log.f64 (/.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N)) (log.f64 (+.f64 N #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)))) #s(literal -1 binary64)))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (*.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)) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))
Calls

2 calls:

16.0ms
N
15.0ms
(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Results
AccuracySegmentsBranch
99.3%2N
99.3%2(-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes25.0ms (0.2%)

Counts
53 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
(/.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) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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)
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))
(/.f64 #s(literal -1 binary64) (*.f64 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) #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 -1/3 binary64) (/.f64 #s(literal 1/4 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 (/.f64 #s(literal -1 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) #s(literal -1 binary64)))
(/.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) #s(literal -1 binary64)))) 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)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.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))
(/.f64 #s(literal 1 binary64) (+.f64 (*.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)) N))
(/.f64 #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 -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)))
(/.f64 (-.f64 N (*.f64 N (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))) (*.f64 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 (+.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)))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (-.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N N))))) N)
(*.f64 (/.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) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 N N))) N)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.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))))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.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 #s(literal 0 binary64) (*.f64 N N)))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (-.f64 #s(literal 0 binary64) (*.f64 N N))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))))) (-.f64 #s(literal 0 binary64) N)))
(*.f64 (/.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) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 N (*.f64 N N)))) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (*.f64 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))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (/.f64 #s(literal 1 binary64) (+.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)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/8 binary64)) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #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 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal -1 binary64))) (*.f64 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) #s(literal 1 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) 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) #s(literal 1 binary64))) (/.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) N)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) (*.f64 N (*.f64 N N))) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.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 1 binary64) (*.f64 (/.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 (/.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (-.f64 (/.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 N (+.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 binary64) (/.f64 N (+.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)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.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 (/.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))) (-.f64 (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal 1 binary64)) (/.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)))))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #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)) 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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (-.f64 (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal 1 binary64)) (/.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)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.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 (/.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (*.f64 N (-.f64 (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal 1 binary64)) (/.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))))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (*.f64 N (*.f64 N N)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))))))
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
Outputs
(log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N))
(/.f64 #s(literal 1 binary64) (+.f64 (*.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)) N))
Calls

1 calls:

15.0ms
N
Results
AccuracySegmentsBranch
99.2%2N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes18.0ms (0.1%)

Counts
52 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
(/.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) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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)
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))
(/.f64 #s(literal -1 binary64) (*.f64 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) #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 -1/3 binary64) (/.f64 #s(literal 1/4 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 (/.f64 #s(literal -1 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) #s(literal -1 binary64)))
(/.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) #s(literal -1 binary64)))) 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)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.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))
(/.f64 #s(literal 1 binary64) (+.f64 (*.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)) N))
(/.f64 #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 -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N)) N)))
(/.f64 (-.f64 N (*.f64 N (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N))) (*.f64 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 (+.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)))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 N N))) (-.f64 (/.f64 #s(literal -1/2 binary64) N) (/.f64 #s(literal 1/4 binary64) (*.f64 N (*.f64 N N))))) N)
(*.f64 (/.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) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 N N))) N)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.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))))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.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 #s(literal 0 binary64) (*.f64 N N)))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) N) (-.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) (-.f64 #s(literal 0 binary64) (*.f64 N N))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 N N)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal 1/24 binary64) (*.f64 N (*.f64 N N))))) (-.f64 #s(literal 0 binary64) N)))
(*.f64 (/.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) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 N (*.f64 N N)))) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (*.f64 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))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (/.f64 #s(literal 1 binary64) (+.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)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal 1/8 binary64)) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #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 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 N N)) (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal -1 binary64))) (*.f64 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) #s(literal 1 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) N) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (/.f64 #s(literal 1/2 binary64) N) N)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) 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) #s(literal 1 binary64))) (/.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) N)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 N #s(literal -1/3 binary64))) (*.f64 N (*.f64 N N))) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)))))) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.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 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 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.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 1 binary64) (*.f64 (/.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 (/.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))) (+.f64 #s(literal 1 binary64) (-.f64 (/.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 N (+.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 binary64) (/.f64 N (+.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)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.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 (/.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))))) (-.f64 (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal 1 binary64)) (/.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)))))) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #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)) 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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (-.f64 (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal 1 binary64)) (/.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)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.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 (/.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 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N))))))) (*.f64 N (-.f64 (+.f64 (/.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 N (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/24 binary64) N)) N)))) #s(literal 1 binary64)) (/.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))))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) N) (/.f64 N (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N))))) (*.f64 N (*.f64 N N)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))) (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N))))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (*.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)) N))
Calls

1 calls:

15.0ms
N
Results
AccuracySegmentsBranch
95.7%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
23 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
(/.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) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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)
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))
(/.f64 #s(literal -1 binary64) (*.f64 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) #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 -1/3 binary64) (/.f64 #s(literal 1/4 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 (/.f64 #s(literal -1 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) #s(literal -1 binary64)))
(/.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) #s(literal -1 binary64)))) 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)) N) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) N))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.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))
Outputs
(/.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) #s(literal -1 binary64)))) N)
Calls

1 calls:

7.0ms
N
Results
AccuracySegmentsBranch
95.6%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts
20 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
(/.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) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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)
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))
(/.f64 #s(literal -1 binary64) (*.f64 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) #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 -1/3 binary64) (/.f64 #s(literal 1/4 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 (/.f64 #s(literal -1 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) #s(literal -1 binary64)))
Outputs
(/.f64 #s(literal -1 binary64) (*.f64 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) #s(literal -1 binary64))))
Calls

1 calls:

8.0ms
N
Results
AccuracySegmentsBranch
95.6%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts
16 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
(/.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) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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)
(-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) N)) N)) (*.f64 N N)))
Outputs
(/.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)
Calls

1 calls:

5.0ms
N
Results
AccuracySegmentsBranch
95.2%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
14 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
(/.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) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
Calls

1 calls:

5.0ms
N
Results
AccuracySegmentsBranch
94.2%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts
13 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
(/.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) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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)
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N)))))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #s(literal -1/12 binary64) (*.f64 N N)))))
Calls

1 calls:

5.0ms
N
Results
AccuracySegmentsBranch
94.2%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
12 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
(/.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) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #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 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) 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)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N))))
Calls

1 calls:

4.0ms
N
Results
AccuracySegmentsBranch
93.7%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
10 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
(/.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) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) N)) N)) N)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) N) #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)
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
93.7%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
7 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
Calls

1 calls:

3.0ms
N
Results
AccuracySegmentsBranch
91.4%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 (+.f64 N #s(literal -1/2 binary64)) (*.f64 N N))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (+.f64 N #s(literal -1/2 binary64)))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
Calls

1 calls:

3.0ms
N
Results
AccuracySegmentsBranch
90.7%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.1b remaining (-1.1%)

Threshold costs -0.1b (-1.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) N)
(/.f64 N (*.f64 N N))
Outputs
(/.f64 #s(literal 1 binary64) N)
Calls

1 calls:

2.0ms
N
Results
AccuracySegmentsBranch
82.6%1N
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch2.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0007987107434281882
0.0009812620259079807
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0007987107434281882
0.0009812620259079807
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0007987107434281882
0.0009812620259079807
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch39.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
38.0ms
723.0431580345104
1018.5958722920715
Results
35.0ms64×0valid
Compiler

Compiled 128 to 97 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-sub: 31.0ms (93.1% of total)
ival-log: 1.0ms (3% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify67.0ms (0.5%)

Algorithm
egg-herbie
Rules
558×distribute-lft-neg-in_binary64
334×neg-mul-1_binary64
322×distribute-neg-in_binary64
308×neg-sub0_binary64
242×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0105342
1166342
2231336
3302335
4367335
5439335
6591335
7886335
81275335
91640335
101857335
111918335
121921335
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 7378697629483821/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.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)) N)) (*.f64 (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N))) (+.f64 N #s(literal -1 binary64))))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 7378697629483821/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.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)) N)) (neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 7378697629483821/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.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)) N)) (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 N #s(literal 780 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (+.f64 (*.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)) N)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.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)) 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)) N) #s(literal -1 binary64)))) N)
(/.f64 #s(literal -1 binary64) (*.f64 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) #s(literal -1 binary64))))
(/.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)
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)))
(/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #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 #s(literal 1/3 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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 #s(literal 1 binary64) N)
Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 7378697629483821/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.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)) N)) (*.f64 (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N))) (+.f64 N #s(literal -1 binary64))))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 7378697629483821/9223372036854775808 binary64)) (/.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 (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (-.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 N #s(literal -1 binary64))) (log.f64 (*.f64 (*.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N))) (+.f64 N #s(literal -1 binary64))))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 7378697629483821/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.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)) N)) (neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 7378697629483821/9223372036854775808 binary64)) (/.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 (*.f64 (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64)))))) (log.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 7378697629483821/9223372036854775808 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.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)) N)) (neg.f64 (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 N)) #s(literal 7378697629483821/9223372036854775808 binary64)) (/.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 0 binary64) (log.f64 (/.f64 N (+.f64 N #s(literal 1 binary64))))))
(if (<=.f64 N #s(literal 780 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (+.f64 (*.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)) N)))
(if (<=.f64 N #s(literal 780 binary64)) (log.f64 (/.f64 (+.f64 N #s(literal 1 binary64)) 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 (*.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)) 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 (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) #s(literal -1 binary64)))) 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)) N) #s(literal -1 binary64))) N)
(/.f64 #s(literal -1 binary64) (*.f64 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) #s(literal -1 binary64))))
(/.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)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) N) #s(literal -1/3 binary64)) N) #s(literal 1/2 binary64)) N)) N)
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) N) #s(literal -1/2 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) (/.f64 #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 #s(literal 1/3 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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) N)) N)
(/.f64 #s(literal 1 binary64) N)

soundness2.7s (18.9%)

Rules
4860×+-lowering-+.f64
4860×+-lowering-+.f32
4712×*-lowering-*.f32
4712×*-lowering-*.f64
4668×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046334
1329263
23131244
09358244
09025556
130824989
082214989
088580
1290496
2748478
32067472
46711472
08364472
08686069
130155441
082905441
062258
1468219
24836217
08056217
0919
17119
240419
3390219
0868519
041181
1293153
22589153
09757153
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 668 to 343 computations (48.7% saved)

preprocess113.0ms (0.8%)

Compiler

Compiled 702 to 224 computations (68.1% saved)

end0.0ms (0%)

Profiling

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