Details

Time bar (total: 5.9s)

analyze6.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%23.7%76.3%0%0%0%0
0%0%23.7%76.3%0%0%0%1
50%11.9%11.9%76.3%0%0%0%2
75%17.8%5.9%76.3%0%0%0%3
87.5%20.8%3%76.3%0%0%0%4
93.8%22.2%1.5%76.3%0%0%0%5
96.9%23%0.7%76.3%0%0%0%6
98.4%23.3%0.4%76.3%0%0%0%7
98.4%23.3%0.4%76.3%0%0%0%8
98.8%23.4%0.3%76.3%0%0%0%9
99%23.5%0.2%76.3%0%0%0%10
99.1%23.5%0.2%76.3%0%0%0%11
99.2%23.5%0.2%76.3%0%0%0%12
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample3.6s (61.1%)

Results
2.3s4339×body1024valid
630.0ms2156×body512valid
326.0ms1245×body256valid
308.0ms516×body2048valid
Bogosity

preprocess4.0ms (0.1%)

Algorithm
egg-herbie
Rules
rational.json-simplify-1
rational.json-simplify-16
rational.json-simplify-2
rational.json-simplify-17
rational.json-simplify-48
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
11945
22245
32345
42545
52645
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
Outputs
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1) (*.f64 n (log.f64 n)))
(-.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) (*.f64 n (log.f64 n)))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n))))
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Rules
rational.json-simplify-1
rational.json-simplify-16
rational.json-simplify-2
rational.json-simplify-17
rational.json-simplify-48
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
11945
22245
32345
42545
52645
Stop Event
saturated
Counts
1 → 4
Calls
Call 1
Inputs
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
Outputs
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1) (*.f64 n (log.f64 n)))
(-.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) (*.f64 n (log.f64 n)))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n))))

eval1.0ms (0%)

Compiler

Compiled 61 to 39 computations (36.1% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New314
Fresh101
Picked000
Done000
Total415
Error
62.0b
Counts
5 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
62.0b
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1) (*.f64 n (log.f64 n)))
Compiler

Compiled 16 to 12 computations (25% saved)

localize22.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 n (log.f64 n))
0.2b
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
4.9b
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1) (*.f64 n (log.f64 n)))
Compiler

Compiled 49 to 32 computations (34.7% saved)

series49.0ms (0.8%)

Counts
3 → 32
Calls

9 calls:

TimeVariablePointExpression
28.0ms
n
@0
(*.f64 n (log.f64 n))
9.0ms
n
@-inf
(*.f64 n (log.f64 n))
9.0ms
n
@inf
(*.f64 n (log.f64 n))
1.0ms
n
@-inf
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1) (*.f64 n (log.f64 n)))
0.0ms
n
@inf
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1) (*.f64 n (log.f64 n)))

rewrite85.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1280×rational.json-simplify-35
1258×rational.json-1
1258×rational.json-2
1258×rational.json-3
1210×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01279
19079
220379
342379
487479
5213879
6490379
Stop Event
node limit
Counts
3 → 71
Calls
Call 1
Inputs
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1) (*.f64 n (log.f64 n)))
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(*.f64 n (log.f64 n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (*.f64 n (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) (neg.f64 (*.f64 n (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 n (log.f64 n))) (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 1 (*.f64 n (log.f64 n)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 1 (*.f64 n (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 1/2) (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) -2)) (-.f64 1 (/.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (-.f64 (*.f64 n (log.f64 n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 4) (/.f64 (*.f64 n (log.f64 n)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 n (log.f64 n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 4) (*.f64 n (*.f64 (log.f64 n) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (*.f64 n (log.f64 n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -2) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (-.f64 (*.f64 n (log.f64 n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4)) (neg.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 n 1)) (+.f64 n 1))) (log.f64 (pow.f64 (sqrt.f64 (+.f64 n 1)) (+.f64 n 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 n 1)) (+.f64 2 (+.f64 n n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 n 1) (*.f64 (log.f64 (+.f64 n 1)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1))))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 n 1)) 2) (+.f64 n 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (log.f64 n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 n (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (sqrt.f64 n) n)) (log.f64 (pow.f64 (sqrt.f64 n) n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 n (log.f64 n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (log.f64 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 n) (+.f64 n n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (*.f64 (log.f64 n) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n (log.f64 n)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 n (log.f64 n)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 n (log.f64 n)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 n (log.f64 n)) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 n (log.f64 n)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (log.f64 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 n n))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (sqrt.f64 n) n) 2))))))

simplify133.0ms (2.3%)

Algorithm
egg-herbie
Rules
1188×rational.json-simplify-48
1096×rational.json-simplify-2
970×rational.json-simplify-1
928×rational.json-simplify-51
916×rational.json-simplify-44
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02254457
15174089
211723807
329373777
459003777
573373765
Stop Event
node limit
Counts
103 → 179
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 n (-.f64 1 (log.f64 n))) 1)
(-.f64 (+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (*.f64 1/2 (pow.f64 n 2))) 1)
(-.f64 (+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2)))) 1)
(*.f64 -1 (log.f64 (/.f64 1 n)))
(+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))))))
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
n
(+.f64 n (*.f64 1/2 (pow.f64 n 2)))
(+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 n (*.f64 1/2 (pow.f64 n 2))))
(+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 n (+.f64 (*.f64 1/12 (pow.f64 n 4)) (*.f64 1/2 (pow.f64 n 2)))))
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))))
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (log.f64 -1) (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))))))
(+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 1/2 (/.f64 1 n))))))
(-.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(+.f64 1 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (*.f64 n (log.f64 n)))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n))))
(+.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) (neg.f64 (*.f64 n (log.f64 n))))
(+.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 0)
(+.f64 0 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))))
(+.f64 -1 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))))
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) -1)
(+.f64 (neg.f64 (*.f64 n (log.f64 n))) (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1))
(+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(+.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 1 (*.f64 n (log.f64 n)))) -2)
(+.f64 -2 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 1 (*.f64 n (log.f64 n)))))
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 1/2) (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 1/2))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) -2)) (-.f64 1 (/.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) -2)))
(*.f64 1 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))))
(*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 1)
(*.f64 -1 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))))
(*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 1/2))
(*.f64 (+.f64 (*.f64 (-.f64 (*.f64 n (log.f64 n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -2) -2) 1/2)
(*.f64 4 (/.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 4))
(*.f64 4 (-.f64 (/.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 4) (/.f64 (*.f64 n (log.f64 n)) 4)))
(*.f64 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -1)
(*.f64 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 4) 1/4)
(*.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 n (log.f64 n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -2) -2))
(*.f64 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 4))
(*.f64 1/4 (-.f64 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 4) (*.f64 n (*.f64 (log.f64 n) 4))))
(*.f64 (/.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) -2) -2)
(*.f64 (/.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 4) 4)
(/.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 1)
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 n (log.f64 n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -2) -2) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -1)
(/.f64 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 4) 4)
(/.f64 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 8) 8)
(/.f64 (-.f64 (*.f64 2 (-.f64 (*.f64 n (log.f64 n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))) -2) -2)
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 8)) 16)
(/.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4) -4)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 8))) 32)
(/.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4)) -8)
(/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4)) 4)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 8)))) 64)
(/.f64 (+.f64 (neg.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4)) (neg.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4))) 8)
(pow.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 1)
(neg.f64 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 0)
(+.f64 0 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 n 1)) (+.f64 n 1))) (log.f64 (pow.f64 (sqrt.f64 (+.f64 n 1)) (+.f64 n 1))))
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 0)
(/.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1)
(/.f64 (*.f64 (log.f64 (+.f64 n 1)) (+.f64 2 (+.f64 n n))) 2)
(/.f64 (*.f64 (+.f64 n 1) (*.f64 (log.f64 (+.f64 n 1)) 4)) 4)
(/.f64 (*.f64 (*.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1))) 8)
(/.f64 (*.f64 2 (*.f64 (*.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1)))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1))))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1))))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1)))))) 64)
(pow.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1)
(log.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)))
(log.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 n 1)) 2) (+.f64 n 1)))
(+.f64 (*.f64 n (log.f64 n)) 0)
(+.f64 0 (*.f64 n (log.f64 n)))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 n) n)) (log.f64 (pow.f64 (sqrt.f64 n) n)))
(-.f64 (*.f64 n (log.f64 n)) 0)
(/.f64 (*.f64 n (log.f64 n)) 1)
(/.f64 (*.f64 (log.f64 n) (+.f64 n n)) 2)
(/.f64 (*.f64 n (*.f64 (log.f64 n) 4)) 4)
(/.f64 (*.f64 (*.f64 n (log.f64 n)) 8) 8)
(/.f64 (*.f64 2 (*.f64 (*.f64 n (log.f64 n)) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 n (log.f64 n)) 8))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 n (log.f64 n)) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 n (log.f64 n)) 8)))) 64)
(pow.f64 (*.f64 n (log.f64 n)) 1)
(log.f64 (pow.f64 n n))
(log.f64 (pow.f64 (pow.f64 (sqrt.f64 n) n) 2))
Outputs
-1
(-.f64 (*.f64 n (-.f64 1 (log.f64 n))) 1)
(+.f64 (*.f64 n (-.f64 1 (log.f64 n))) -1)
(+.f64 -1 (*.f64 n (-.f64 1 (log.f64 n))))
(-.f64 (+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (*.f64 1/2 (pow.f64 n 2))) 1)
(+.f64 (*.f64 1/2 (pow.f64 n 2)) (+.f64 (*.f64 n (-.f64 1 (log.f64 n))) -1))
(+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (-.f64 (*.f64 1/2 (pow.f64 n 2)) 1))
(+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (+.f64 -1 (*.f64 1/2 (pow.f64 n 2))))
(-.f64 (+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2)))) 1)
(+.f64 (+.f64 (*.f64 1/2 (pow.f64 n 2)) (*.f64 -1/6 (pow.f64 n 3))) (+.f64 (*.f64 n (-.f64 1 (log.f64 n))) -1))
(+.f64 -1 (+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (+.f64 (*.f64 1/2 (pow.f64 n 2)) (*.f64 -1/6 (pow.f64 n 3)))))
(+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 -1 (*.f64 1/2 (pow.f64 n 2)))))
(*.f64 -1 (log.f64 (/.f64 1 n)))
(neg.f64 (log.f64 (/.f64 1 n)))
(+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 n)))
(+.f64 (neg.f64 (log.f64 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 n)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 n))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 n))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 (neg.f64 (log.f64 (/.f64 1 n))) (-.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))))
(-.f64 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 n))) (-.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))))
(+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 n))) (-.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))))))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))))))
(*.f64 n 0)
0
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(+.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 n))) (+.f64 (log.f64 -1) (*.f64 n 0)))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 n))) (+.f64 (log.f64 -1) 0))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 n))) (log.f64 -1))
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n)))))
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (log.f64 -1))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 n 0) (+.f64 (*.f64 1/2 (/.f64 1 n)) (neg.f64 (log.f64 (/.f64 -1 n))))))
(+.f64 (log.f64 -1) (+.f64 (neg.f64 (log.f64 (/.f64 -1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) 0)))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (log.f64 -1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))
(+.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (log.f64 -1))) (-.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))))
(+.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 (neg.f64 (log.f64 (/.f64 -1 n))) (log.f64 -1))) (-.f64 (*.f64 n 0) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))))
(+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 n))) (log.f64 -1)) (-.f64 0 (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))))
(+.f64 (log.f64 -1) (+.f64 (neg.f64 (log.f64 (/.f64 -1 n))) (-.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 2))))))
n
(+.f64 n (*.f64 1/2 (pow.f64 n 2)))
(+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 n (*.f64 1/2 (pow.f64 n 2))))
(+.f64 n (+.f64 (*.f64 1/2 (pow.f64 n 2)) (*.f64 -1/6 (pow.f64 n 3))))
(+.f64 (*.f64 1/2 (pow.f64 n 2)) (+.f64 n (*.f64 -1/6 (pow.f64 n 3))))
(+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 n (+.f64 (*.f64 1/12 (pow.f64 n 4)) (*.f64 1/2 (pow.f64 n 2)))))
(+.f64 n (+.f64 (+.f64 (*.f64 1/2 (pow.f64 n 2)) (*.f64 1/12 (pow.f64 n 4))) (*.f64 -1/6 (pow.f64 n 3))))
(+.f64 n (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 (*.f64 1/2 (pow.f64 n 2)) (*.f64 1/12 (pow.f64 n 4)))))
(+.f64 n (+.f64 (*.f64 1/2 (pow.f64 n 2)) (+.f64 (*.f64 1/12 (pow.f64 n 4)) (*.f64 -1/6 (pow.f64 n 3)))))
(+.f64 n (+.f64 (*.f64 1/2 (pow.f64 n 2)) (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (*.f64 1/12 (pow.f64 n 4)))))
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))
(*.f64 n (neg.f64 (log.f64 (/.f64 1 n))))
(*.f64 (log.f64 (/.f64 1 n)) (neg.f64 n))
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))))
(+.f64 1 (*.f64 -1 (+.f64 (*.f64 n (log.f64 (/.f64 1 n))) (log.f64 (/.f64 1 n)))))
(+.f64 1 (*.f64 (log.f64 (/.f64 1 n)) (+.f64 -1 (neg.f64 n))))
(+.f64 1 (*.f64 (log.f64 (/.f64 1 n)) (-.f64 -1 n)))
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(+.f64 -1 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (log.f64 (pow.f64 n n))))
(*.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 n (log.f64 n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -2) -2))
(*.f64 1/2 (+.f64 -2 (*.f64 -2 (-.f64 (*.f64 n (log.f64 n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))))))
(*.f64 1/2 (+.f64 -2 (*.f64 -2 (-.f64 (log.f64 (pow.f64 n n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))))))
(*.f64 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 1/2) 2)
(+.f64 1 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (*.f64 n (log.f64 n)))))
(+.f64 -1 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (log.f64 (pow.f64 n n))))
(*.f64 1/4 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 4))
(+.f64 1 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (*.f64 n (log.f64 n)))))
(+.f64 -1 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (log.f64 (pow.f64 n n))))
(*.f64 1/4 (-.f64 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) -1) 4) (*.f64 n (*.f64 (log.f64 n) 4))))
(+.f64 1 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (*.f64 n (log.f64 n)))))
(+.f64 -1 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (log.f64 (pow.f64 n n))))
(*.f64 (/.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) -2) -2)
(+.f64 1 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (*.f64 n (log.f64 n)))))
(+.f64 -1 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (log.f64 (pow.f64 n n))))
(*.f64 (/.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 4) 4)
(+.f64 1 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (*.f64 n (log.f64 n)))))
(+.f64 -1 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (log.f64 (pow.f64 n n))))
(/.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 1)
(+.f64 1 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (*.f64 n (log.f64 n)))))
(+.f64 -1 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (log.f64 (pow.f64 n n))))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 n (log.f64 n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -2) -2) 2)
(/.f64 (+.f64 -2 (*.f64 -2 (-.f64 (*.f64 n (log.f64 n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))))) 2)
(/.f64 (+.f64 -2 (*.f64 -2 (-.f64 (log.f64 (pow.f64 n n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) -1)
(+.f64 1 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (*.f64 n (log.f64 n)))))
(+.f64 -1 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (log.f64 (pow.f64 n n))))
(/.f64 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 4) 4)
(+.f64 1 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (*.f64 n (log.f64 n)))))
(+.f64 -1 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (log.f64 (pow.f64 n n))))
(/.f64 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 8) 8)
(+.f64 1 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (*.f64 n (log.f64 n)))))
(+.f64 -1 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (log.f64 (pow.f64 n n))))
(/.f64 (-.f64 (*.f64 2 (-.f64 (*.f64 n (log.f64 n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))) -2) -2)
(/.f64 (-.f64 (*.f64 2 (-.f64 (log.f64 (pow.f64 n n)) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))) -2) -2)
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 8)) 16)
(+.f64 1 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (*.f64 n (log.f64 n)))))
(+.f64 -1 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (log.f64 (pow.f64 n n))))
(/.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4) -4)
(+.f64 1 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (*.f64 n (log.f64 n)))))
(+.f64 -1 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (log.f64 (pow.f64 n n))))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 8))) 32)
(+.f64 1 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (*.f64 n (log.f64 n)))))
(+.f64 -1 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (log.f64 (pow.f64 n n))))
(/.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4)) -8)
(+.f64 1 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (*.f64 n (log.f64 n)))))
(+.f64 -1 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (log.f64 (pow.f64 n n))))
(/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4)) 4)
(+.f64 1 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (*.f64 n (log.f64 n)))))
(+.f64 -1 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (log.f64 (pow.f64 n n))))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 8)))) 64)
(+.f64 1 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (*.f64 n (log.f64 n)))))
(+.f64 -1 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (log.f64 (pow.f64 n n))))
(/.f64 (+.f64 (neg.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4)) (neg.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 4))) 8)
(+.f64 1 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (*.f64 n (log.f64 n)))))
(+.f64 -1 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (log.f64 (pow.f64 n n))))
(pow.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (*.f64 n (log.f64 n)))) 1)
(+.f64 1 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (*.f64 n (log.f64 n)))))
(+.f64 -1 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (log.f64 (pow.f64 n n))))
(neg.f64 (-.f64 (+.f64 1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))))
(+.f64 1 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -2 (*.f64 n (log.f64 n)))))
(+.f64 -1 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (-.f64 -1 (log.f64 (pow.f64 n n))))
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 0)
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(+.f64 0 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 n 1)) (+.f64 n 1))) (log.f64 (pow.f64 (sqrt.f64 (+.f64 n 1)) (+.f64 n 1))))
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 0)
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(/.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1)
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(/.f64 (*.f64 (log.f64 (+.f64 n 1)) (+.f64 2 (+.f64 n n))) 2)
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(/.f64 (*.f64 (+.f64 n 1) (*.f64 (log.f64 (+.f64 n 1)) 4)) 4)
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(/.f64 (*.f64 (*.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1))) 8)
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(/.f64 (*.f64 2 (*.f64 (*.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1)))) 16)
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1))))) 32)
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1))))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 n 1) 8) (log.f64 (+.f64 n 1)))))) 64)
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(pow.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1)
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(log.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)))
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(log.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 n 1)) 2) (+.f64 n 1)))
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
(+.f64 (*.f64 n (log.f64 n)) 0)
(*.f64 n (log.f64 n))
(log.f64 (pow.f64 n n))
(+.f64 0 (*.f64 n (log.f64 n)))
(*.f64 n (log.f64 n))
(log.f64 (pow.f64 n n))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 n) n)) (log.f64 (pow.f64 (sqrt.f64 n) n)))
(*.f64 n (log.f64 n))
(log.f64 (pow.f64 n n))
(-.f64 (*.f64 n (log.f64 n)) 0)
(*.f64 n (log.f64 n))
(log.f64 (pow.f64 n n))
(/.f64 (*.f64 n (log.f64 n)) 1)
(*.f64 n (log.f64 n))
(log.f64 (pow.f64 n n))
(/.f64 (*.f64 (log.f64 n) (+.f64 n n)) 2)
(*.f64 n (log.f64 n))
(log.f64 (pow.f64 n n))
(/.f64 (*.f64 n (*.f64 (log.f64 n) 4)) 4)
(*.f64 n (log.f64 n))
(log.f64 (pow.f64 n n))
(/.f64 (*.f64 (*.f64 n (log.f64 n)) 8) 8)
(*.f64 n (log.f64 n))
(log.f64 (pow.f64 n n))
(/.f64 (*.f64 2 (*.f64 (*.f64 n (log.f64 n)) 8)) 16)
(*.f64 n (log.f64 n))
(log.f64 (pow.f64 n n))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 n (log.f64 n)) 8))) 32)
(*.f64 n (log.f64 n))
(log.f64 (pow.f64 n n))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 n (log.f64 n)) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 n (log.f64 n)) 8)))) 64)
(*.f64 n (log.f64 n))
(log.f64 (pow.f64 n n))
(pow.f64 (*.f64 n (log.f64 n)) 1)
(*.f64 n (log.f64 n))
(log.f64 (pow.f64 n n))
(log.f64 (pow.f64 n n))
(*.f64 n (log.f64 n))
(log.f64 (pow.f64 (pow.f64 (sqrt.f64 n) n) 2))
(*.f64 n (log.f64 n))
(log.f64 (pow.f64 n n))

eval63.0ms (1.1%)

Compiler

Compiled 4016 to 2933 computations (27% saved)

prune22.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1772179
Fresh000
Picked101
Done000
Total1782180
Error
0.0b
Counts
180 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(neg.f64 (log.f64 (/.f64 1 n)))
62.0b
0
Compiler

Compiled 8 to 7 computations (12.5% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (/.f64 1 n))
Compiler

Compiled 15 to 11 computations (26.7% saved)

series7.0ms (0.1%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
7.0ms
n
@-inf
(log.f64 (/.f64 1 n))
0.0ms
n
@0
(log.f64 (/.f64 1 n))
0.0ms
n
@inf
(log.f64 (/.f64 1 n))

rewrite61.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1672×rational.json-simplify-35
1050×rational.json-1
1050×rational.json-2
1050×rational.json-3
1040×rational.json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
15611
213411
326511
453411
5141511
6411811
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(log.f64 (/.f64 1 n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1 n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 1 n))) (log.f64 (sqrt.f64 (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 1 n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 1 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (log.f64 (/.f64 1 n)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 1 n)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 1 n)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (/.f64 1 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 (/.f64 1 n)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.f64 (/.f64 1 n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (/.f64 1 n)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 1 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 1 n)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 1 n)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 1 n)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (/.f64 1 n)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (/.f64 1 n)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (/.f64 1 n)) 8))) (*.f64 2 (*.f64 2 (*.f64 (log.f64 (/.f64 1 n)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 1 n)) 1)))))

simplify812.0ms (13.8%)

Algorithm
egg-herbie
Rules
7454×rational.json-simplify-41
2024×rational.json-simplify-35
1820×rational.json-simplify-2
1182×rational.json-simplify-49
1036×rational.json-simplify-51
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054370
1102362
2255362
3748362
41231362
52415362
63035362
73093362
83136362
93173362
103206362
113239362
123293362
133326362
143359362
153392362
163425362
173458362
183491362
194353362
204807362
214907362
224944362
234980362
245016362
255052362
265088362
275124362
285160362
295196362
305232362
315268362
325304362
335340362
345376362
355412362
365412362
375412362
Stop Event
node limit
Counts
30 → 26
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 n))
(*.f64 -1 (log.f64 n))
(*.f64 -1 (log.f64 n))
(*.f64 -1 (log.f64 n))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 n)))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 n)))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 n)))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 n)))
(+.f64 (log.f64 (/.f64 1 n)) 0)
(+.f64 0 (log.f64 (/.f64 1 n)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 1 n))) (log.f64 (sqrt.f64 (/.f64 1 n))))
(-.f64 (log.f64 (/.f64 1 n)) 0)
(*.f64 1 (log.f64 (/.f64 1 n)))
(*.f64 (log.f64 (/.f64 1 n)) 1)
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 1 n))))
(*.f64 4 (/.f64 (log.f64 (/.f64 1 n)) 4))
(*.f64 (*.f64 (log.f64 (/.f64 1 n)) 2) 1/2)
(*.f64 (*.f64 (log.f64 (/.f64 1 n)) 4) 1/4)
(*.f64 1/2 (*.f64 (log.f64 (/.f64 1 n)) 2))
(*.f64 1/4 (*.f64 (log.f64 (/.f64 1 n)) 4))
(*.f64 (log.f64 (sqrt.f64 (/.f64 1 n))) 2)
(*.f64 (/.f64 (log.f64 (/.f64 1 n)) 4) 4)
(/.f64 (log.f64 (/.f64 1 n)) 1)
(/.f64 (*.f64 (log.f64 (/.f64 1 n)) 2) 2)
(/.f64 (*.f64 (log.f64 (/.f64 1 n)) 4) 4)
(/.f64 (*.f64 (log.f64 (/.f64 1 n)) 8) 8)
(/.f64 (*.f64 2 (*.f64 (log.f64 (/.f64 1 n)) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (/.f64 1 n)) 8))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (/.f64 1 n)) 8))) (*.f64 2 (*.f64 2 (*.f64 (log.f64 (/.f64 1 n)) 8)))) 64)
(pow.f64 (log.f64 (/.f64 1 n)) 1)
Outputs
(*.f64 -1 (log.f64 n))
(neg.f64 (log.f64 n))
(*.f64 -1 (log.f64 n))
(neg.f64 (log.f64 n))
(*.f64 -1 (log.f64 n))
(neg.f64 (log.f64 n))
(*.f64 -1 (log.f64 n))
(neg.f64 (log.f64 n))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 n)))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 n)))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 n)))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 n)))
(+.f64 (log.f64 (/.f64 1 n)) 0)
(log.f64 (/.f64 1 n))
(+.f64 0 (log.f64 (/.f64 1 n)))
(log.f64 (/.f64 1 n))
(+.f64 (log.f64 (sqrt.f64 (/.f64 1 n))) (log.f64 (sqrt.f64 (/.f64 1 n))))
(log.f64 (/.f64 1 n))
(-.f64 (log.f64 (/.f64 1 n)) 0)
(log.f64 (/.f64 1 n))
(*.f64 1 (log.f64 (/.f64 1 n)))
(log.f64 (/.f64 1 n))
(*.f64 (log.f64 (/.f64 1 n)) 1)
(log.f64 (/.f64 1 n))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 1 n))))
(log.f64 (/.f64 1 n))
(*.f64 4 (/.f64 (log.f64 (/.f64 1 n)) 4))
(log.f64 (/.f64 1 n))
(*.f64 (*.f64 (log.f64 (/.f64 1 n)) 2) 1/2)
(log.f64 (/.f64 1 n))
(*.f64 (*.f64 (log.f64 (/.f64 1 n)) 4) 1/4)
(log.f64 (/.f64 1 n))
(*.f64 1/2 (*.f64 (log.f64 (/.f64 1 n)) 2))
(log.f64 (/.f64 1 n))
(*.f64 1/4 (*.f64 (log.f64 (/.f64 1 n)) 4))
(log.f64 (/.f64 1 n))
(*.f64 (log.f64 (sqrt.f64 (/.f64 1 n))) 2)
(log.f64 (/.f64 1 n))
(*.f64 (/.f64 (log.f64 (/.f64 1 n)) 4) 4)
(log.f64 (/.f64 1 n))
(/.f64 (log.f64 (/.f64 1 n)) 1)
(log.f64 (/.f64 1 n))
(/.f64 (*.f64 (log.f64 (/.f64 1 n)) 2) 2)
(log.f64 (/.f64 1 n))
(/.f64 (*.f64 (log.f64 (/.f64 1 n)) 4) 4)
(log.f64 (/.f64 1 n))
(/.f64 (*.f64 (log.f64 (/.f64 1 n)) 8) 8)
(log.f64 (/.f64 1 n))
(/.f64 (*.f64 2 (*.f64 (log.f64 (/.f64 1 n)) 8)) 16)
(log.f64 (/.f64 1 n))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (/.f64 1 n)) 8))) 32)
(log.f64 (/.f64 1 n))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (/.f64 1 n)) 8))) (*.f64 2 (*.f64 2 (*.f64 (log.f64 (/.f64 1 n)) 8)))) 64)
(log.f64 (/.f64 1 n))
(pow.f64 (log.f64 (/.f64 1 n)) 1)
(log.f64 (/.f64 1 n))

eval5.0ms (0.1%)

Compiler

Compiled 229 to 200 computations (12.7% saved)

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New25126
Fresh011
Picked101
Done000
Total26228
Error
0b
Counts
28 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(neg.f64 (neg.f64 (log.f64 n)))
62.0b
0
Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.1%)

Compiler

Compiled 11 to 4 computations (63.6% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done000
Total022
Error
0b
Counts
2 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(neg.f64 (neg.f64 (log.f64 n)))
62.0b
0
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done011
Total022
Error
0b
Counts
2 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(neg.f64 (neg.f64 (log.f64 n)))
62.0b
0
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes10.0ms (0.2%)

Accuracy

Total -63.0b remaining (-∞%)

Threshold costs -63.0b (-∞%)

Counts
5 → 1
Calls
Call 1
Inputs
0
(neg.f64 (neg.f64 (log.f64 n)))
(neg.f64 (log.f64 (/.f64 1 n)))
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1) (*.f64 n (log.f64 n)))
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
Outputs
(neg.f64 (neg.f64 (log.f64 n)))
Calls

3 calls:

4.0ms
n
3.0ms
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
2.0ms
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))
Results
ErrorSegmentsBranch
0b1n
0b1(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1)
0b1(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))
Compiler

Compiled 73 to 51 computations (30.1% saved)

simplify1.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(neg.f64 (neg.f64 (log.f64 n)))
0
Outputs
(neg.f64 (neg.f64 (log.f64 n)))
0
Compiler

Compiled 7 to 6 computations (14.3% saved)

soundness964.0ms (16.4%)

Algorithm
egg-herbie
Rules
7454×rational.json-simplify-41
2024×rational.json-simplify-35
1820×rational.json-simplify-2
1188×rational.json-simplify-48
1182×rational.json-simplify-49
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
11945
22245
32345
42545
52645
02254457
15174089
211723807
329373777
459003777
573373765
054370
1102362
2255362
3748362
41231362
52415362
63035362
73093362
83136362
93173362
103206362
113239362
123293362
133326362
143359362
153392362
163425362
173458362
183491362
194353362
204807362
214907362
224944362
234980362
245016362
255052362
265088362
275124362
285160362
295196362
305232362
315268362
325304362
335340362
345376362
355412362
365412362
375412362
Stop Event
node limit
node limit
saturated
Compiler

Compiled 64 to 46 computations (28.1% saved)

end14.0ms (0.2%)

Compiler

Compiled 6 to 5 computations (16.7% saved)

Profiling

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