Details

Time bar (total: 25.2s)

analyze426.0ms (1.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%84.3%3.2%7
19.5%76.5%4%8
29.3%59.7%11%9
33.4%54.2%12.4%10
38.6%44.1%17.3%11
40.8%40.7%18.5%12
Compiler

Compiled 18 to 12 computations (33.3% saved)

sample7.6s (30.4%)

Results
3.3s1791×body2048valid
2.8s2753×body1024valid
460.0ms2471×body256valid
460.0ms1208×body512valid
183.0ms1179×body256invalid
134.0ms183×body1024invalid
130.0ms247×body512invalid
84.0ms33×body4096valid
29.0ms22×body2048invalid

preprocess53.0ms (0.2%)

Algorithm
egg-herbie
Rules
530×times-frac_binary64
476×associate-*l*_binary64
458×associate-*r*_binary64
360×associate-/l*_binary64
342×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01744
14844
212340
332940
4105740
5589040
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) 1) (/.f64 n i)))
Outputs
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(*.f64 100 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)))
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n))
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) 1) (/.f64 n i)))
(*.f64 100 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) -1) n) i))
(*.f64 100 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) -1) (/.f64 n i)))
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 n i)) i) -100) (/.f64 n i))
(*.f64 i (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 n i)) i) -100) n))
(*.f64 (/.f64 i n) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 n i)) i) -100))
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify71.0ms (0.3%)

Algorithm
egg-herbie
Rules
701×fma-def_binary64
561×associate-/r/_binary64
483×associate-/r*_binary64
476×associate-*l/_binary64
408×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01122
12922
26820
317220
453120
5239320
6726320
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Outputs
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n))
(*.f64 100 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)))
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n))
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))

eval1.0ms (0%)

Compiler

Compiled 31 to 19 computations (38.7% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
48.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
48.2b
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
48.0b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Compiler

Compiled 33 to 22 computations (33.3% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
2.1b
(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
6.3b
(pow.f64 (+.f64 1 (/.f64 i n)) n)
11.8b
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 58 to 29 computations (50% saved)

series30.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
6.0ms
n
@inf
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
3.0ms
n
@0
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
3.0ms
i
@inf
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
3.0ms
i
@-inf
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
2.0ms
i
@0
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))

rewrite184.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
722×prod-diff_binary64
659×log-prod_binary64
267×fma-def_binary64
250×egg-rr
221×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01164
125758
2376958
Stop Event
node limit
Counts
4 → 345
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
(pow.f64 (+.f64 1 (/.f64 i n)) n)
(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Outputs
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simplify199.0ms (0.8%)

Algorithm
egg-herbie
Rules
779×associate-/l*_binary64
588×associate-/r*_binary64
399×fma-def_binary64
263×+-commutative_binary64
239×associate-/r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03655519
112215121
244624705
Stop Event
node limit
Counts
441 → 508
Calls
Call 1
Inputs
n
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
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1
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1
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i
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2)) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))))) 1)
(*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 2)) (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 2)) (+.f64 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))
(+.f64 (*.f64 (pow.f64 n 4) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 2)) (+.f64 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))))
(-.f64 (exp.f64 i) 1)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i)) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4))) (exp.f64 i)) (pow.f64 n 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3)) (+.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (pow.f64 n 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i)))) 1)
(-.f64 (exp.f64 i) 1)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i)) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4))) (exp.f64 i)) (pow.f64 n 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (pow.f64 n 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (exp.f64 i) (*.f64 -1 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (pow.f64 n 3)))))) 1)
(*.f64 100 n)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
Outputs
n
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 n (*.f64 (*.f64 n i) (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n)
(fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n)
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 n (*.f64 n (+.f64 (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))) (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))))
(fma.f64 n (fma.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n)
(fma.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i))) n)
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))))))))
(+.f64 n (fma.f64 n (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))) (*.f64 n (+.f64 (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))))))))
(+.f64 n (*.f64 n (+.f64 (fma.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (-.f64 (/.f64 11/24 (*.f64 n n)) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3))))))))
(+.f64 n (*.f64 n (+.f64 (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i))) (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (+.f64 (/.f64 11/24 (*.f64 n n)) (/.f64 -1/4 n)) (/.f64 1/4 (pow.f64 n 3))))))))
(/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))))
(*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(*.f64 (/.f64 n i) (fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) -1))
(+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)) (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))
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i
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(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))))
(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (fma.f64 100 (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) (fma.f64 -100 (/.f64 n (/.f64 (pow.f64 i 4) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) (fma.f64 -1/3 (pow.f64 n 4) (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6)))))) (*.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) 100))))
(+.f64 (*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i) (/.f64 (pow.f64 n 3) i)) (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))))))) (/.f64 (*.f64 n -100) (/.f64 (pow.f64 i 4) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6)))))))
(+.f64 (*.f64 100 (+.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) i) (+.f64 (/.f64 (pow.f64 n 3) i) (/.f64 n (*.f64 (/.f64 i (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2))) i)))))) (*.f64 (/.f64 -100 (pow.f64 i 4)) (*.f64 (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6))) (*.f64 n (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n))))))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(*.f64 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) 100)
(*.f64 (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n))) 100)
(*.f64 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))) 100)
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))
(*.f64 100 (fma.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i))) (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i))))))
(*.f64 (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))) 100)
(*.f64 (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))) 100)
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))))
(fma.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i)))) (*.f64 100 (+.f64 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (*.f64 (pow.f64 n 4) (-.f64 (fma.f64 -1 (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) i) (/.f64 (log.f64 i) (*.f64 i i)))) (/.f64 1/2 (pow.f64 i 3)))))))
(*.f64 100 (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (fma.f64 (pow.f64 n 4) (+.f64 (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 -1/2 (pow.f64 i 3))) (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n))))))
(*.f64 100 (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (fma.f64 (pow.f64 n 4) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 -1/2 (pow.f64 i 3)))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))))
(fma.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i)))) (fma.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (fma.f64 -1 (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) i) (/.f64 (log.f64 i) (*.f64 i i)))) (/.f64 1/2 (pow.f64 i 3)))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 4) i) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) (pow.f64 i 3)) (+.f64 (/.f64 1/2 (pow.f64 i 3)) (/.f64 1/3 (pow.f64 i 4))))))) (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i))))))))
(+.f64 (*.f64 100 (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (fma.f64 (pow.f64 n 4) (+.f64 (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 -1/2 (pow.f64 i 3))) (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))))) (*.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) i) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 i 3)) (+.f64 (/.f64 1/2 (pow.f64 i 3)) (/.f64 1/3 (pow.f64 i 4)))))) (*.f64 (pow.f64 n 5) 100)))
(*.f64 100 (+.f64 (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))) (fma.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) i) (+.f64 (/.f64 1/3 (pow.f64 i 4)) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 i 3)) (/.f64 1/2 (pow.f64 i 3)))))) (*.f64 (pow.f64 n 4) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 -1/2 (pow.f64 i 3))))))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i))
(fma.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100 (*.f64 i (*.f64 (exp.f64 i) -50)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (/.f64 n (/.f64 i (expm1.f64 i))))))
(fma.f64 100 (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 i (*.f64 (exp.f64 i) -50)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (*.f64 n n)) (/.f64 (exp.f64 i) i)) (*.f64 100 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (/.f64 n (/.f64 i (expm1.f64 i)))))))
(fma.f64 (*.f64 i (exp.f64 i)) -50 (*.f64 100 (+.f64 (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) (*.f64 n n))))))
(fma.f64 (*.f64 i (exp.f64 i)) -50 (*.f64 100 (+.f64 (*.f64 (/.f64 (exp.f64 i) i) (+.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) (*.f64 n n)) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n))) (*.f64 (/.f64 n i) (expm1.f64 i)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i))
(fma.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100 (*.f64 i (*.f64 (exp.f64 i) -50)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (/.f64 n (/.f64 i (expm1.f64 i))))))
(fma.f64 100 (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 i (*.f64 (exp.f64 i) -50)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 -100 (/.f64 (exp.f64 i) (/.f64 (*.f64 i (*.f64 n n)) (fma.f64 1/48 (pow.f64 i 6) (fma.f64 1/6 (pow.f64 i 5) (*.f64 1/4 (pow.f64 i 4)))))) (*.f64 100 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (/.f64 n (/.f64 i (expm1.f64 i)))))))
(fma.f64 (*.f64 i (exp.f64 i)) -50 (fma.f64 100 (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 (/.f64 -100 i) (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 1/4 (pow.f64 i 4)))) n)))))
(fma.f64 (*.f64 i (exp.f64 i)) -50 (fma.f64 100 (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 (*.f64 (/.f64 (exp.f64 i) (*.f64 n (*.f64 n i))) (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/4 (pow.f64 i 4) (*.f64 1/6 (pow.f64 i 5))))) -100)))

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
2.1b
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
6.3b
(pow.f64 (+.f64 1 (/.f64 i n)) n)
13.8b
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
Compiler

Compiled 49 to 25 computations (49% saved)

series11.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
n
@0
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
1.0ms
i
@-inf
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
1.0ms
i
@inf
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
1.0ms
n
@-inf
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
1.0ms
n
@inf
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))

rewrite67.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
574×log-prod_binary64
320×pow2_binary64
316×prod-diff_binary64
244×fma-def_binary64
238×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
125934
2328534
Stop Event
node limit
Counts
2 → 63
Calls
Call 1
Inputs
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n i)) (*.f64 -100 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (/.f64 n i))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (/.f64 n i)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 n (/.f64 i (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 i (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 1) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (cbrt.f64 (*.f64 i i))) (cbrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (sqrt.f64 i)) (sqrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (neg.f64 n)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 n i) 3) (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3) (pow.f64 (/.f64 n i) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 i (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 n i) 3) (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3) (pow.f64 (/.f64 n i) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 (/.f64 n i) -100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n i) (*.f64 -100 (/.f64 n i)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -100 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1) -100)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2) (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 3) -1000000) (+.f64 (pow.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2) (-.f64 10000 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2) 10000) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 1))))))

simplify99.0ms (0.4%)

Algorithm
egg-herbie
Rules
784×associate-/l*_binary64
584×associate-/r*_binary64
370×fma-def_binary64
331×associate-*l/_binary64
298×associate-*r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03043043
110412849
239712649
Stop Event
node limit
Counts
111 → 146
Calls
Call 1
Inputs
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i)))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))))))
(*.f64 100 n)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i)
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i) (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i)
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i) (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))))))
(*.f64 100 i)
(+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (+.f64 (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 4) (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))))))))
(-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))) 100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))) 100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)) (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4))))) (pow.f64 i 3)))))) 100)
(-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))))) 100)
(*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))))
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100)
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100)
Outputs
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (fma.f64 -1 (log.f64 n) (log.f64 i)))) i)
(*.f64 100 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i))
(*.f64 100 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))
(*.f64 100 (+.f64 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3)))))
(*.f64 100 (+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3)))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 (pow.f64 n 3) i) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i))))
(fma.f64 100 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (*.f64 100 (+.f64 (/.f64 (pow.f64 n 4) (/.f64 i (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i))))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))))))
(*.f64 100 (+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i) (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i)))))))
(*.f64 100 (+.f64 (+.f64 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 (pow.f64 n 3) i) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 (/.f64 -1/2 i) i))))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))))
(fma.f64 100 (/.f64 (pow.f64 n 5) (/.f64 i (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i) (fma.f64 1/24 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 4) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i)))))))) (fma.f64 100 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (*.f64 100 (+.f64 (/.f64 (pow.f64 n 4) (/.f64 i (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i))))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3)))))))
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 5) i) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (fma.f64 1/24 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))) (*.f64 100 (+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i) (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i))))))))
(*.f64 100 (+.f64 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 (/.f64 -1/2 i) i))))) (+.f64 (*.f64 (/.f64 (pow.f64 n 5) i) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (fma.f64 1/24 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))))))
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(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))))) 100)
(+.f64 (fma.f64 100 (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (fma.f64 -100 (/.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) (/.f64 (pow.f64 i 3) (fma.f64 -1/3 (pow.f64 n 4) (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6)))))) (*.f64 100 (+.f64 (/.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))))) -100)
(+.f64 -100 (fma.f64 100 (*.f64 (/.f64 (*.f64 n n) i) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (fma.f64 100 (+.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (*.f64 (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (*.f64 -100 (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (pow.f64 i 3)) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6)))))))))
(+.f64 -100 (+.f64 (*.f64 100 (+.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) (*.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) (+.f64 (/.f64 n (/.f64 i n)) (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) (*.f64 i i)))))) (*.f64 (/.f64 -100 (pow.f64 i 3)) (*.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6))))))))
(*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))
(*.f64 100 (*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i))))
(*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))
(*.f64 100 (+.f64 (*.f64 (*.f64 n n) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i))) (*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)))))
(*.f64 100 (fma.f64 (*.f64 n n) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(*.f64 100 (*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) n))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))))
(fma.f64 100 (*.f64 (*.f64 n n) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i)))) (*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i))))))
(*.f64 100 (+.f64 (*.f64 n (*.f64 n (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))) (fma.f64 (pow.f64 n 3) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i))) (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))))
(*.f64 100 (+.f64 (*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) n))) (*.f64 (pow.f64 n 3) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 (/.f64 -1/2 i) i))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))))
(fma.f64 100 (*.f64 (*.f64 n n) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i))) (fma.f64 100 (*.f64 (pow.f64 n 4) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i) (fma.f64 1/24 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 4) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i)))) (*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)))))))
(fma.f64 100 (*.f64 n (*.f64 n (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))) (*.f64 100 (+.f64 (fma.f64 (pow.f64 n 3) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i))) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (pow.f64 n 4) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (fma.f64 1/24 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))))))
(*.f64 100 (+.f64 (+.f64 (*.f64 (pow.f64 n 4) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (fma.f64 1/24 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))) (*.f64 (pow.f64 n 3) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 (/.f64 -1/2 i) i))))) (*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) n)))))
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(fma.f64 100 (exp.f64 i) -100)
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100)
(+.f64 (*.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i)))) (fma.f64 100 (exp.f64 i) -100))
(fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) -100))
(fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) -100))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100)
(+.f64 (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (*.f64 100 (exp.f64 i)))) -100)
(fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)) (fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) -100)))
(fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4)))) (fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) -100)))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100)
(+.f64 (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (*.f64 100 (+.f64 (/.f64 (fma.f64 -1/48 (pow.f64 i 6) (fma.f64 -1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) -1/4))) (/.f64 (pow.f64 n 3) (exp.f64 i))) (exp.f64 i))))) -100)
(+.f64 -100 (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)) (fma.f64 100 (+.f64 (exp.f64 i) (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) (/.f64 (pow.f64 n 3) (exp.f64 i)))) (*.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i))))))
(+.f64 (fma.f64 100 (*.f64 (+.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (pow.f64 n 3)) 1) (exp.f64 i)) (*.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)))) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4)))) -100))
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(fma.f64 100 (exp.f64 i) -100)
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100)
(+.f64 (*.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i)))) (fma.f64 100 (exp.f64 i) -100))
(fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) -100))
(fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) -100))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100)
(+.f64 (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (*.f64 100 (exp.f64 i)))) -100)
(fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)) (fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) -100)))
(fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4)))) (fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) -100)))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100)
(+.f64 (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (fma.f64 -100 (/.f64 (fma.f64 1/48 (pow.f64 i 6) (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))) (/.f64 (pow.f64 n 3) (exp.f64 i))) (*.f64 100 (exp.f64 i))))) -100)
(+.f64 -100 (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)) (fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) (*.f64 -100 (/.f64 (exp.f64 i) (/.f64 (pow.f64 n 3) (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))))))))))
(+.f64 (fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))) (/.f64 (/.f64 (pow.f64 n 3) (exp.f64 i)) -100)))) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4)))) -100))

eval448.0ms (1.8%)

Compiler

Compiled 29258 to 15410 computations (47.3% saved)

prune121.0ms (0.5%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New69721718
Fresh000
Picked101
Done011
Total69822720
Error
0.0b
Counts
720 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
37.3b
(*.f64 (/.f64 n i) (*.f64 100 i))
16.5b
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))
31.3b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
37.7b
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))) 10) 2)
35.2b
(*.f64 100 (/.f64 i (/.f64 i n)))
27.3b
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
16.8b
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n))
18.3b
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
16.2b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
48.0b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
48.0b
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n))
51.5b
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
36.3b
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)) 3))
24.4b
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
28.8b
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
27.7b
(*.f64 n 100)
48.2b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
46.5b
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
18.6b
(+.f64 0 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)))
28.5b
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
28.5b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
16.7b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
Compiler

Compiled 639 to 449 computations (29.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)
5.3b
(log1p.f64 (/.f64 i n))
11.9b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
12.0b
(*.f64 n (log1p.f64 (/.f64 i n)))
Compiler

Compiled 47 to 12 computations (74.5% saved)

series16.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
3.0ms
n
@-inf
(*.f64 n (log1p.f64 (/.f64 i n)))
2.0ms
n
@0
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
1.0ms
n
@0
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)
1.0ms
i
@inf
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
1.0ms
i
@-inf
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))

rewrite90.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
604×log-prod_binary64
334×pow-prod-down_binary64
271×pow2_binary64
216×pow-unpow_binary64
215×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01049
121249
2290549
Stop Event
node limit
Counts
4 → 135
Calls
Call 1
Inputs
(*.f64 n (log1p.f64 (/.f64 i n)))
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
(log1p.f64 (/.f64 i n))
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 i n) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 i n) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 i n) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 i n) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (/.f64 i n) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 i n) 2) (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 i n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 i n) 2))) (log.f64 (-.f64 1 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 i n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 i n))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 i n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 i n))) 2) (cbrt.f64 (log1p.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 i n))) (sqrt.f64 (log1p.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 i n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 i n)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 i n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 i n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 i n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 i n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 i n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 i n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 i n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 i n)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 i n)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 i n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 i n))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10000 (pow.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 10000 (pow.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) 1) 1))))))

simplify105.0ms (0.4%)

Algorithm
egg-herbie
Rules
745×associate-/r*_binary64
517×associate-*l/_binary64
509×fma-def_binary64
283×associate-/r/_binary64
260×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03704211
112493933
249603738
Stop Event
node limit
Counts
231 → 273
Calls
Call 1
Inputs
(*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (/.f64 (pow.f64 n 2) i))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))))
i
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))))
i
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))))
i
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))))
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (/.f64 (pow.f64 n 2) i))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))))
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) (/.f64 (pow.f64 n 2) i))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
(*.f64 100 n)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))))
(/.f64 i n)
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(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 3))) (/.f64 i n)))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 3))) (/.f64 i n))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))
(+.f64 (/.f64 n i) (+.f64 (log.f64 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 i)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (+.f64 (/.f64 n i) (+.f64 (log.f64 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 i))))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 3) (pow.f64 i 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (+.f64 (/.f64 n i) (+.f64 (log.f64 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 i)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (+.f64 (log.f64 (neg.f64 (/.f64 1 n))) (/.f64 n i)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (+.f64 (log.f64 (neg.f64 (/.f64 1 n))) (/.f64 n i))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 3) (pow.f64 i 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (+.f64 (log.f64 (neg.f64 (/.f64 1 n))) (/.f64 n i)))))
(+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))
(+.f64 (*.f64 -1 (log.f64 n)) (+.f64 (/.f64 n i) (log.f64 i)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (+.f64 (*.f64 -1 (log.f64 n)) (+.f64 (/.f64 n i) (log.f64 i))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 3) (pow.f64 i 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (+.f64 (*.f64 -1 (log.f64 n)) (+.f64 (/.f64 n i) (log.f64 i)))))
(/.f64 i n)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (/.f64 i n))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 3))) (/.f64 i n)))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 3))) (/.f64 i n))))
(/.f64 i n)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (/.f64 i n))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 3))) (/.f64 i n)))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 3))) (/.f64 i n))))
(*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (/.f64 (log.f64 i) i) (*.f64 -1 (/.f64 (log.f64 n) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))) (pow.f64 n 3))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (/.f64 (log.f64 i) i) (*.f64 -1 (/.f64 (log.f64 n) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))) (pow.f64 n 3))) (+.f64 (*.f64 100 (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))))) (pow.f64 n 4))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (-.f64 (exp.f64 i) 1)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (-.f64 (exp.f64 i) 1))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (-.f64 (exp.f64 i) 1)))))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (-.f64 (exp.f64 i) 1)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (-.f64 (exp.f64 i) 1))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (-.f64 (exp.f64 i) 1)) (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (pow.f64 n 3))))))
(*.f64 100 i)
(+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (+.f64 (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 4) (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))))))))
(*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1))
(+.f64 (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))
(+.f64 (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))))
(+.f64 (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)) (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4))))) (pow.f64 i 3))))))
(*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)))))
Outputs
(*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))
(*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)))
(*.f64 n (-.f64 (log.f64 i) (log.f64 n)))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (/.f64 (pow.f64 n 2) i))
(fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (/.f64 (*.f64 n n) i))
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) (/.f64 n (/.f64 i n)))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))
(+.f64 (fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (/.f64 (*.f64 n n) i)) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i))))
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) (fma.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n (/.f64 i n))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))))
(fma.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (+.f64 (fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (/.f64 (*.f64 n n) i)) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)))))
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) (fma.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (fma.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n (/.f64 i n)))))
i
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i)
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) i)
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) i)
(fma.f64 -1/2 (*.f64 (/.f64 i n) i) i)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i))
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i))
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 1/3 (/.f64 (/.f64 (pow.f64 i 3) n) n) i))
(fma.f64 -1/2 (*.f64 (/.f64 i n) i) (fma.f64 1/3 (/.f64 (/.f64 (pow.f64 i 3) n) n) i))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))))
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i) (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)))))
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 1/3 (/.f64 (/.f64 (pow.f64 i 3) n) n) (fma.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)) i)))
(fma.f64 -1/2 (*.f64 (/.f64 i n) i) (fma.f64 1/3 (/.f64 (/.f64 (pow.f64 i 3) n) n) (fma.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)) i)))
i
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i)
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) i)
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) i)
(fma.f64 -1/2 (*.f64 (/.f64 i n) i) i)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i))
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(*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1))
(*.f64 100 (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))
(*.f64 100 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))))
(*.f64 100 (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)))
(*.f64 100 (+.f64 (/.f64 (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))) i) (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))))
(*.f64 100 (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (*.f64 (/.f64 n (/.f64 i n)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))))
(*.f64 100 (+.f64 (*.f64 (+.f64 (/.f64 n (/.f64 i n)) 1) (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n)))) -1))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1))))
(fma.f64 100 (/.f64 (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))) i) (*.f64 100 (+.f64 (/.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 (pow.f64 n 4) 1/2)) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n (/.f64 i n)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i) (/.f64 (fma.f64 (pow.f64 n 4) 1/2 (*.f64 -1/2 (pow.f64 n 3))) i)))))
(*.f64 100 (+.f64 (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1) (*.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) (+.f64 (/.f64 n (/.f64 i n)) (/.f64 (fma.f64 (pow.f64 n 4) 1/2 (*.f64 -1/2 (pow.f64 n 3))) (*.f64 i i))))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)))))
(fma.f64 100 (/.f64 (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))) i) (fma.f64 -100 (/.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) (/.f64 (pow.f64 i 3) (fma.f64 -1/3 (pow.f64 n 4) (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6)))))) (*.f64 100 (+.f64 (/.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 (pow.f64 n 4) 1/2)) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))))))
(fma.f64 100 (*.f64 (/.f64 n (/.f64 i n)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (fma.f64 100 (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i) (/.f64 (fma.f64 (pow.f64 n 4) 1/2 (*.f64 -1/2 (pow.f64 n 3))) i))) (*.f64 -100 (/.f64 (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6)))) (/.f64 (pow.f64 i 3) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))))))
(+.f64 (*.f64 100 (+.f64 (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1) (*.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) (+.f64 (/.f64 n (/.f64 i n)) (/.f64 (fma.f64 (pow.f64 n 4) 1/2 (*.f64 -1/2 (pow.f64 n 3))) (*.f64 i i)))))) (*.f64 -100 (/.f64 (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6)))) (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n)))))))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
0.1b
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
0.1b
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
5.2b
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
Compiler

Compiled 75 to 57 computations (24% saved)

series14.0ms (0.1%)

Counts
4 → 57
Calls

24 calls:

TimeVariablePointExpression
2.0ms
i
@-inf
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
1.0ms
i
@0
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
1.0ms
n
@0
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
1.0ms
n
@-inf
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
1.0ms
n
@inf
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))

rewrite87.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
781×log-prod_binary64
560×fma-def_binary64
271×pow1/3_binary64
268×expm1-udef_binary64
268×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01458
131456
2415756
Stop Event
node limit
Counts
4 → 144
Calls
Call 1
Inputs
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
Outputs
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(*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 100) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 n 100) (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (*.f64 n 100) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 100 (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 100 n (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 100 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 100) 1 (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 n 100) 1 (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 n 100) (*.f64 i 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 n 100) (+.f64 1/2 (/.f64 -1/2 n))) i (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 n 100) (pow.f64 (cbrt.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2)) (cbrt.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 n 100) (sqrt.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) (sqrt.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n) (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (sqrt.f64 n)) (sqrt.f64 n) (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 100))))))

simplify91.0ms (0.4%)

Algorithm
egg-herbie
Rules
849×unsub-neg_binary64
619×times-frac_binary64
490×associate-/l*_binary64
380×distribute-rgt-in_binary64
284×distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038608
197554
2225505
3577505
41639505
54040505
Stop Event
node limit
Counts
201 → 172
Calls
Call 1
Inputs
(*.f64 -1/2 i)
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(*.f64 1/2 (*.f64 n i))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(*.f64 1/2 (*.f64 n i))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(*.f64 -50 i)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(*.f64 50 (*.f64 n i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(*.f64 50 (*.f64 n i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(*.f64 -1/2 (/.f64 i n))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 1/2 i)
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 1/2 i)
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(*.f64 -50 i)
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i))))
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i))))
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i))))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100)))
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i))
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i))
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i))
(*.f64 100 n)
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
Outputs
(*.f64 -1/2 i)
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 (*.f64 1/2 n) -1/2))
(*.f64 i (fma.f64 1/2 n -1/2))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 (*.f64 1/2 n) -1/2))
(*.f64 i (fma.f64 1/2 n -1/2))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 (*.f64 1/2 n) -1/2))
(*.f64 i (fma.f64 1/2 n -1/2))
(*.f64 1/2 (*.f64 n i))
(*.f64 1/2 (*.f64 i n))
(*.f64 i (*.f64 1/2 n))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 (*.f64 1/2 n) -1/2))
(*.f64 i (fma.f64 1/2 n -1/2))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 (*.f64 1/2 n) -1/2))
(*.f64 i (fma.f64 1/2 n -1/2))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 (*.f64 1/2 n) -1/2))
(*.f64 i (fma.f64 1/2 n -1/2))
(*.f64 1/2 (*.f64 n i))
(*.f64 1/2 (*.f64 i n))
(*.f64 i (*.f64 1/2 n))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 (*.f64 1/2 n) -1/2))
(*.f64 i (fma.f64 1/2 n -1/2))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 (*.f64 1/2 n) -1/2))
(*.f64 i (fma.f64 1/2 n -1/2))
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i)))
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n)))
(*.f64 i (+.f64 (*.f64 1/2 n) -1/2))
(*.f64 i (fma.f64 1/2 n -1/2))
(*.f64 -50 i)
(*.f64 i -50)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(*.f64 i (fma.f64 n 50 -50))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(*.f64 i (fma.f64 n 50 -50))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(*.f64 i (fma.f64 n 50 -50))
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 n (*.f64 i 50))
(*.f64 (*.f64 i n) 50)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(*.f64 i (fma.f64 n 50 -50))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(*.f64 i (fma.f64 n 50 -50))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(*.f64 i (fma.f64 n 50 -50))
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 n (*.f64 i 50))
(*.f64 (*.f64 i n) 50)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(*.f64 i (fma.f64 n 50 -50))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(*.f64 i (fma.f64 n 50 -50))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(*.f64 i (fma.f64 n 50 -50))
(*.f64 -1/2 (/.f64 i n))
(*.f64 i (/.f64 -1/2 n))
(/.f64 i (*.f64 n -2))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 1/2 (-.f64 i (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 1/2 (-.f64 i (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 1/2 (-.f64 i (/.f64 i n)))
(*.f64 1/2 i)
(*.f64 i 1/2)
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 1/2 (-.f64 i (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 1/2 (-.f64 i (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 1/2 (-.f64 i (/.f64 i n)))
(*.f64 1/2 i)
(*.f64 i 1/2)
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 1/2 (-.f64 i (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 1/2 (-.f64 i (/.f64 i n)))
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2))
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 1/2 (-.f64 i (/.f64 i n)))
(*.f64 -50 i)
(*.f64 i -50)
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 n (fma.f64 i 50 100))
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i))))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i))))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i))))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 n (fma.f64 i 50 100))
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(*.f64 i (fma.f64 n 50 -50))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(fma.f64 50 (*.f64 i n) (*.f64 i -50))
(*.f64 i (+.f64 -50 (*.f64 n 50)))
(*.f64 i (fma.f64 n 50 -50))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100)))
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
2.2b
(+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)
6.3b
(pow.f64 (+.f64 1 (/.f64 i n)) n)
13.8b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
Compiler

Compiled 60 to 32 computations (46.7% saved)

series9.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
n
@0
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
1.0ms
i
@-inf
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
1.0ms
i
@inf
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
0.0ms
n
@-inf
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
0.0ms
i
@0
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))

rewrite82.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
707×prod-diff_binary64
690×log-prod_binary64
370×fma-def_binary64
250×expm1-udef_binary64
250×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01334
129534
2403534
Stop Event
node limit
Counts
2 → 123
Calls
Call 1
Inputs
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
(+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)
Outputs
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-100)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1 -100)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 100) -100)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (cbrt.f64 (*.f64 10000 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)))) -100)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 10000 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)))) (cbrt.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) -100)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 10 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 10 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n))) -100)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 100) -100)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (+.f64 n n)))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)))))

simplify81.0ms (0.3%)

Algorithm
egg-herbie
Rules
784×associate-/l*_binary64
584×associate-/r*_binary64
370×fma-def_binary64
331×associate-*l/_binary64
298×associate-*r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03043043
110412849
239712649
Stop Event
node limit
Counts
171 → 206
Calls
Call 1
Inputs
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i)))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))))))
(*.f64 100 n)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i)
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i) (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i)
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i) (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))))))
(*.f64 100 i)
(+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (+.f64 (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 4) (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))))))))
(-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))) 100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))) 100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)) (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4))))) (pow.f64 i 3)))))) 100)
(-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))))) 100)
(*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))))
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100)
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100)
Outputs
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (fma.f64 -1 (log.f64 n) (log.f64 i)))) i)
(*.f64 100 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i))
(*.f64 100 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))
(*.f64 100 (+.f64 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3)))))
(*.f64 100 (+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3)))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 (pow.f64 n 3) i) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i))))
(fma.f64 100 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (*.f64 100 (+.f64 (/.f64 (pow.f64 n 4) (/.f64 i (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i))))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))))))
(*.f64 100 (+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i) (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i)))))))
(*.f64 100 (+.f64 (+.f64 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 (pow.f64 n 3) i) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 (/.f64 -1/2 i) i))))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))))
(fma.f64 100 (/.f64 (pow.f64 n 5) (/.f64 i (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i) (fma.f64 1/24 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 4) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i)))))))) (fma.f64 100 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (*.f64 100 (+.f64 (/.f64 (pow.f64 n 4) (/.f64 i (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i))))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3)))))))
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 5) i) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (fma.f64 1/24 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))) (*.f64 100 (+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i) (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i))))))))
(*.f64 100 (+.f64 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 (/.f64 -1/2 i) i))))) (+.f64 (*.f64 (/.f64 (pow.f64 n 5) i) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (fma.f64 1/24 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 n (/.f64 i (fma.f64 100 (exp.f64 i) -100)))
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (/.f64 n (/.f64 i (fma.f64 100 (exp.f64 i) -100))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) i)) (/.f64 n (/.f64 i (fma.f64 100 (exp.f64 i) -100)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) i)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (/.f64 (*.f64 (*.f64 n n) i) (exp.f64 i))) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) i)) (/.f64 n (/.f64 i (fma.f64 100 (exp.f64 i) -100))))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) i)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))))
(+.f64 (*.f64 100 (*.f64 (/.f64 (exp.f64 i) i) (+.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (*.f64 n n)) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)))) (fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 n (/.f64 i (fma.f64 100 (exp.f64 i) -100)))
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (/.f64 n (/.f64 i (fma.f64 100 (exp.f64 i) -100))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) i)) (/.f64 n (/.f64 i (fma.f64 100 (exp.f64 i) -100)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) i)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))))))
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(*.f64 100 (+.f64 (*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) n))) (*.f64 (pow.f64 n 3) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 (/.f64 -1/2 i) i))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))))
(fma.f64 100 (*.f64 (*.f64 n n) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i))) (fma.f64 100 (*.f64 (pow.f64 n 4) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i) (fma.f64 1/24 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 4) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i)))) (*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)))))))
(fma.f64 100 (*.f64 n (*.f64 n (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))) (*.f64 100 (+.f64 (fma.f64 (pow.f64 n 3) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i))) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (pow.f64 n 4) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (fma.f64 1/24 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))))))
(*.f64 100 (+.f64 (+.f64 (*.f64 (pow.f64 n 4) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (fma.f64 1/24 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))) (*.f64 (pow.f64 n 3) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 (/.f64 -1/2 i) i))))) (*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) n)))))
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(fma.f64 100 (exp.f64 i) -100)
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100)
(+.f64 (*.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i)))) (fma.f64 100 (exp.f64 i) -100))
(fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) -100))
(fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) -100))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100)
(+.f64 (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (*.f64 100 (exp.f64 i)))) -100)
(fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)) (fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) -100)))
(fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4)))) (fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) -100)))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100)
(+.f64 (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (*.f64 100 (+.f64 (/.f64 (fma.f64 -1/48 (pow.f64 i 6) (fma.f64 -1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) -1/4))) (/.f64 (pow.f64 n 3) (exp.f64 i))) (exp.f64 i))))) -100)
(+.f64 -100 (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)) (fma.f64 100 (+.f64 (exp.f64 i) (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) (/.f64 (pow.f64 n 3) (exp.f64 i)))) (*.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i))))))
(+.f64 (fma.f64 100 (*.f64 (+.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (pow.f64 n 3)) 1) (exp.f64 i)) (*.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)))) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4)))) -100))
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(fma.f64 100 (exp.f64 i) -100)
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100)
(+.f64 (*.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i)))) (fma.f64 100 (exp.f64 i) -100))
(fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) -100))
(fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) -100))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100)
(+.f64 (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (*.f64 100 (exp.f64 i)))) -100)
(fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)) (fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) -100)))
(fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4)))) (fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) -100)))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100)
(+.f64 (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (fma.f64 -100 (/.f64 (fma.f64 1/48 (pow.f64 i 6) (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))) (/.f64 (pow.f64 n 3) (exp.f64 i))) (*.f64 100 (exp.f64 i))))) -100)
(+.f64 -100 (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)) (fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) (*.f64 -100 (/.f64 (exp.f64 i) (/.f64 (pow.f64 n 3) (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))))))))))
(+.f64 (fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))) (/.f64 (/.f64 (pow.f64 n 3) (exp.f64 i)) -100)))) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4)))) -100))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 n i) 100)
5.3b
(log1p.f64 (/.f64 i n))
12.0b
(*.f64 n (log1p.f64 (/.f64 i n)))
13.4b
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))
Compiler

Compiled 62 to 19 computations (69.4% saved)

series7.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
n
@0
(*.f64 (/.f64 n i) 100)
1.0ms
n
@inf
(*.f64 (/.f64 n i) 100)
1.0ms
n
@0
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))
1.0ms
i
@inf
(*.f64 (/.f64 n i) 100)
1.0ms
i
@0
(*.f64 (/.f64 n i) 100)

rewrite73.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
598×log-prod_binary64
370×pow-prod-down_binary64
286×pow2_binary64
245×pow-unpow_binary64
204×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
122827
2286027
Stop Event
node limit
Counts
2 → 55
Calls
Call 1
Inputs
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))
(*.f64 (/.f64 n i) 100)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 n (/.f64 i 100))) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 n (/.f64 i 100))) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 n (/.f64 i 100))) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 n (/.f64 i 100))) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 n 100)) i)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)) 2) 10000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)) 2) 10000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 n (/.f64 i 100))) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 n (/.f64 i 100)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 n (/.f64 i 100)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 n (/.f64 i 100))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 n (/.f64 i 100))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 n (/.f64 i 100))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 n (/.f64 i 100)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 n (/.f64 i 100))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 i (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n 100) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 n 100)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n 100) 1) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n 100) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n 100) (sqrt.f64 i)) (sqrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) 100) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (neg.f64 n)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (/.f64 i 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 n (/.f64 i 100)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 n (/.f64 i 100)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 n (/.f64 i 100))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 n (/.f64 i 100))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 i (*.f64 n 100)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 n (/.f64 i 100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 n (/.f64 i 100))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 n (/.f64 i 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 n (/.f64 i 100)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 n (/.f64 i 100))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 n (/.f64 i 100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 n (/.f64 i 100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 n (/.f64 i 100))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 n (/.f64 i 100)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 n (/.f64 i 100)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 n (/.f64 i 100)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 n (/.f64 i 100))) 1) 1))))))

simplify59.0ms (0.2%)

Algorithm
egg-herbie
Rules
801×times-frac_binary64
707×distribute-rgt-in_binary64
705×distribute-lft-in_binary64
595×associate-/l*_binary64
246×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02211764
17261651
227971563
Stop Event
node limit
Counts
103 → 97
Calls
Call 1
Inputs
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
(*.f64 100 n)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
Outputs
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))))
(*.f64 100 (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n))))
(*.f64 100 (*.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (*.f64 n n)))
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(*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i)))) (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i))))))
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(*.f64 100 (+.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) -1)) (*.f64 (/.f64 (pow.f64 i n) (/.f64 (*.f64 i i) (pow.f64 n (neg.f64 n)))) (pow.f64 n 3))))
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(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) (*.f64 100 (+.f64 (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4)))))) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) i))))
(*.f64 100 (+.f64 (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4)))))) (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) i))))
(*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 i n) (/.f64 (*.f64 i i) (pow.f64 n (neg.f64 n)))) (pow.f64 n 3)) (*.f64 (/.f64 n i) (+.f64 (fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) -1) (*.f64 (/.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) i) (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) i))))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))))))
(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) (fma.f64 100 (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4)))))) (*.f64 100 (+.f64 (/.f64 (*.f64 n (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) i) (/.f64 n (/.f64 (pow.f64 i 4) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 -1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 4) 1/3))))))))))
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) i)) (*.f64 100 (+.f64 (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4)))))) (*.f64 (/.f64 n (pow.f64 i 4)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 (pow.f64 n 5) -1/2 (*.f64 (pow.f64 n 4) 1/3))))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 i n) (/.f64 (*.f64 i i) (pow.f64 n (neg.f64 n)))) (pow.f64 n 3)) (+.f64 (*.f64 (/.f64 n i) (+.f64 (fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) -1) (*.f64 (/.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) i) (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) i)))) (*.f64 (/.f64 n (pow.f64 i 4)) (*.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 (pow.f64 n 4) 1/3 (*.f64 (pow.f64 n 5) -1/2))))))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))))
(*.f64 100 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))
(*.f64 100 (+.f64 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (/.f64 i (pow.f64 (/.f64 -1 n) n))))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))))
(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (*.f64 100 (+.f64 (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i)) (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (/.f64 n (/.f64 (/.f64 (pow.f64 i 3) (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (/.f64 i (pow.f64 (/.f64 -1 n) n))) (+.f64 (/.f64 (pow.f64 n 3) i) (*.f64 (/.f64 n i) (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) i)))) (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))))
(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (fma.f64 100 (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) (fma.f64 -100 (/.f64 n (/.f64 (pow.f64 i 4) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) (fma.f64 -1/3 (pow.f64 n 4) (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6))))))) (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))))))))
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i)) (fma.f64 100 (/.f64 n (/.f64 (/.f64 (pow.f64 i 3) (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (fma.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (*.f64 -100 (/.f64 n (/.f64 (/.f64 (pow.f64 i 4) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))))))))
(+.f64 (*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (/.f64 i (pow.f64 (/.f64 -1 n) n))) (+.f64 (/.f64 (pow.f64 n 3) i) (*.f64 (/.f64 n i) (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) i)))) (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)))) (*.f64 (/.f64 -100 (pow.f64 i 4)) (*.f64 (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6)))) (*.f64 n (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n))))))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))
(*.f64 100 (/.f64 n i))

eval511.0ms (2%)

Compiler

Compiled 26632 to 15967 computations (40% saved)

prune152.0ms (0.6%)

Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New90013913
Fresh9716
Picked101
Done235
Total91223935
Error
0b
Counts
935 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
37.3b
(*.f64 (/.f64 n i) (*.f64 100 i))
16.5b
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))
51.5b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
28.4b
(fma.f64 n 100 (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 100))
35.2b
(*.f64 100 (/.f64 i (/.f64 i n)))
16.8b
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (/.f64 100 (/.f64 1 n)))
28.3b
(*.f64 n (+.f64 100 (*.f64 50 i)))
16.8b
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n))
31.3b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
18.3b
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
35.2b
(/.f64 (*.f64 i 100) (/.f64 i n))
16.7b
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)) n)
48.1b
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
16.5b
(pow.f64 (*.f64 1/100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) -1)
28.8b
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
27.7b
(*.f64 n 100)
48.2b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
46.5b
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
27.4b
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
28.0b
(+.f64 (*.f64 i -50) (*.f64 100 n))
26.7b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (/.f64 i n))) 100) (/.f64 i n))
18.3b
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))
48.0b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Compiler

Compiled 605 to 417 computations (31.1% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))
5.3b
(log1p.f64 (/.f64 i n))
12.0b
(/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))
12.0b
(*.f64 n (log1p.f64 (/.f64 i n)))
Compiler

Compiled 63 to 18 computations (71.4% saved)

series23.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
i
@-inf
(/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))
3.0ms
i
@inf
(/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))
3.0ms
n
@0
(/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))
2.0ms
n
@inf
(/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))
2.0ms
n
@-inf
(/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))

rewrite77.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
679×log-prod_binary64
310×pow2_binary64
243×pow-unpow_binary64
219×pow1/3_binary64
215×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01243
125340
2344240
Stop Event
node limit
Counts
2 → 124
Calls
Call 1
Inputs
(/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))
Outputs
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simplify116.0ms (0.5%)

Algorithm
egg-herbie
Rules
477×fma-def_binary64
322×associate-*r*_binary64
310×*-commutative_binary64
310×times-frac_binary64
276×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04375099
115234754
264864690
Stop Event
node limit
Counts
172 → 207
Calls
Call 1
Inputs
(/.f64 1/100 n)
(+.f64 (*.f64 1/100 (/.f64 1 n)) (*.f64 1/100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (*.f64 1/100 (/.f64 1 n)) (+.f64 (*.f64 1/100 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/6 (/.f64 1 n)) (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 1/100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 1/100 (/.f64 1 n)) (+.f64 (*.f64 1/100 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/6 (/.f64 1 n)) (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 1/100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/4 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/6 (/.f64 1 n)) (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (+.f64 (*.f64 1/24 (/.f64 1 n)) (+.f64 (*.f64 11/24 (/.f64 1 (pow.f64 n 3))) (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))))))) (*.f64 1/100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))))
(*.f64 1/100 (/.f64 i (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1))))
(+.f64 (*.f64 -1/100 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 2))) (*.f64 1/100 (/.f64 i (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)))))
(+.f64 (*.f64 -1/100 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/100 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 2)) (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 3))) (*.f64 1/100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (*.f64 n (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 2))))) i)) (*.f64 1/100 (/.f64 i (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1))))))
(+.f64 (*.f64 -1/100 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/100 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 2)) (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 3))) (*.f64 1/100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (*.f64 n (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 2))))) i)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/100 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 2)) (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 3))) (*.f64 1/100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (*.f64 n (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 2))))))) (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1))) (+.f64 (*.f64 1/100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4))))) (*.f64 n (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 2)))) (*.f64 -1/100 (/.f64 (*.f64 n (*.f64 (pow.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 2) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 3))))) (pow.f64 i 2))) (*.f64 1/100 (/.f64 i (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)))))))
(*.f64 1/100 (/.f64 i (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1))))
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(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
Outputs
(/.f64 1/100 n)
(+.f64 (*.f64 1/100 (/.f64 1 n)) (*.f64 1/100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (/.f64 1/100 n) (*.f64 (*.f64 1/100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))
(fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n))
(+.f64 (*.f64 1/100 (/.f64 1 n)) (+.f64 (*.f64 1/100 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/6 (/.f64 1 n)) (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 1/100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (/.f64 1/100 n) (*.f64 1/100 (+.f64 (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (+.f64 (/.f64 1/3 (pow.f64 n 3)) (/.f64 1/6 n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (-.f64 1/2 (/.f64 1/2 n))))) (*.f64 i i)) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))))
(fma.f64 1/100 (fma.f64 (-.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (fma.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (+.f64 1/2 (/.f64 -1/2 n)) (/.f64 1/6 n))) (/.f64 1/3 (pow.f64 n 3))) (*.f64 i i) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) (/.f64 1/100 n))
(fma.f64 1/100 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (-.f64 (/.f64 -1/3 (pow.f64 n 3)) (fma.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (+.f64 1/2 (/.f64 -1/2 n)) (/.f64 1/6 n)))) (*.f64 i i) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) (/.f64 1/100 n))
(+.f64 (*.f64 1/100 (/.f64 1 n)) (+.f64 (*.f64 1/100 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/6 (/.f64 1 n)) (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 1/100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/4 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/6 (/.f64 1 n)) (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (+.f64 (*.f64 1/24 (/.f64 1 n)) (+.f64 (*.f64 11/24 (/.f64 1 (pow.f64 n 3))) (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))))))) (*.f64 1/100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))))
(+.f64 (/.f64 1/100 n) (fma.f64 1/100 (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (+.f64 (/.f64 1/3 (pow.f64 n 3)) (/.f64 1/6 n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (-.f64 1/2 (/.f64 1/2 n))))) (*.f64 i i)) (*.f64 1/100 (+.f64 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (fma.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (+.f64 (/.f64 1/3 (pow.f64 n 3)) (/.f64 1/6 n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (-.f64 1/2 (/.f64 1/2 n))))) (-.f64 1/2 (/.f64 1/2 n)) (+.f64 (+.f64 (/.f64 1/24 n) (/.f64 11/24 (pow.f64 n 3))) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))))))) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))))
(+.f64 (/.f64 1/100 n) (*.f64 1/100 (+.f64 (*.f64 (-.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (fma.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (+.f64 1/2 (/.f64 -1/2 n)) (/.f64 1/6 n))) (/.f64 1/3 (pow.f64 n 3))) (*.f64 i i)) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/4 (*.f64 n n)) (-.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (fma.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (+.f64 1/6 (+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 -1/2 n))) (/.f64 11/24 (pow.f64 n 3))) (fma.f64 (+.f64 1/2 (/.f64 -1/2 n)) (-.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (fma.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (+.f64 1/2 (/.f64 -1/2 n)) (/.f64 1/6 n))) (/.f64 1/3 (pow.f64 n 3))) (/.f64 1/24 n))))) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))))
(+.f64 (/.f64 1/100 n) (*.f64 1/100 (+.f64 (*.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (-.f64 (/.f64 -1/3 (pow.f64 n 3)) (fma.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (+.f64 1/2 (/.f64 -1/2 n)) (/.f64 1/6 n)))) (*.f64 i i)) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/4 (*.f64 n n)) (-.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (fma.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (+.f64 1/6 (+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 -1/2 n))) (/.f64 11/24 (pow.f64 n 3))) (fma.f64 (+.f64 1/2 (/.f64 -1/2 n)) (+.f64 (/.f64 1/2 (*.f64 n n)) (-.f64 (/.f64 -1/3 (pow.f64 n 3)) (fma.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (+.f64 1/2 (/.f64 -1/2 n)) (/.f64 1/6 n)))) (/.f64 1/24 n))))) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))))
(*.f64 1/100 (/.f64 i (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1))))
(*.f64 1/100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))))
(*.f64 1/100 (/.f64 (/.f64 i (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) n))
(*.f64 1/100 (/.f64 (/.f64 i (fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) -1)) n))
(+.f64 (*.f64 -1/100 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 2))) (*.f64 1/100 (/.f64 i (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)))))
(fma.f64 -1/100 (/.f64 n (/.f64 (pow.f64 (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) 2) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) (*.f64 1/100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))))
(fma.f64 1/100 (/.f64 (/.f64 i (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) n) (/.f64 (*.f64 (*.f64 -1/100 n) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) (pow.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) 2)))
(fma.f64 1/100 (/.f64 (/.f64 i (fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) -1)) n) (/.f64 (*.f64 (*.f64 -1/100 n) (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n))) (pow.f64 (fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) -1) 2)))
(+.f64 (*.f64 -1/100 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/100 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 2)) (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 3))) (*.f64 1/100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (*.f64 n (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 2))))) i)) (*.f64 1/100 (/.f64 i (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1))))))
(fma.f64 -1/100 (/.f64 n (/.f64 (pow.f64 (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) 2) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) (fma.f64 -1 (/.f64 (fma.f64 -1/100 (/.f64 (pow.f64 n 3) (/.f64 (pow.f64 (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) 3) (pow.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) 2))) (/.f64 (*.f64 1/100 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))))) (*.f64 n (pow.f64 (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) 2)))) i) (*.f64 1/100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))))))
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(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (*.f64 100 (+.f64 (/.f64 (*.f64 (*.f64 n (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))) (pow.f64 i 3)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) i))))
(*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n)))) (+.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))))))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))))
(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (fma.f64 100 (/.f64 (*.f64 (*.f64 n (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))) (pow.f64 i 3)) (fma.f64 -100 (/.f64 n (/.f64 (pow.f64 i 4) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) (fma.f64 -1/3 (pow.f64 n 4) (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6)))))) (*.f64 100 (/.f64 (*.f64 n (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) i)))))
(+.f64 (*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))))))) (/.f64 -100 (/.f64 (pow.f64 i 4) (*.f64 (*.f64 n (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6)))))))
(+.f64 (*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n)))) (+.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n)))))))) (/.f64 -100 (/.f64 (pow.f64 i 4) (*.f64 (*.f64 n (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n)))) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6)))))))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (fma.f64 -1 (log.f64 n) (log.f64 i)))) i)
(*.f64 100 (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))
(*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i)))) (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i))))))
(*.f64 100 (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))))
(fma.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i)))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 4) (-.f64 (fma.f64 -1 (/.f64 (log.f64 n) (*.f64 i i)) (+.f64 (/.f64 (log.f64 i) (*.f64 i i)) (*.f64 1/6 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) i)))) (/.f64 1/2 (pow.f64 i 3)))) (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))))))
(*.f64 100 (+.f64 (fma.f64 (pow.f64 n 4) (+.f64 (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 -1/2 (pow.f64 i 3))) (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))))))
(*.f64 100 (+.f64 (fma.f64 (pow.f64 n 4) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 -1/2 (pow.f64 i 3)))) (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))))
(fma.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i)))) (fma.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (fma.f64 -1 (/.f64 (log.f64 n) (*.f64 i i)) (+.f64 (/.f64 (log.f64 i) (*.f64 i i)) (*.f64 1/6 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) i)))) (/.f64 1/2 (pow.f64 i 3)))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 4) i) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) (pow.f64 i 3)) (+.f64 (/.f64 1/2 (pow.f64 i 3)) (/.f64 1/3 (pow.f64 i 4))))))) (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i))))))))
(fma.f64 100 (*.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i)))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 4) (+.f64 (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 -1/2 (pow.f64 i 3)))) (fma.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) i) (+.f64 (/.f64 1/3 (pow.f64 i 4)) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 i 3)) (/.f64 1/2 (pow.f64 i 3)))))) (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))))))
(fma.f64 100 (*.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i)))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 4) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 -1/2 (pow.f64 i 3))))) (fma.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) i) (+.f64 (/.f64 1/3 (pow.f64 i 4)) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 i 3)) (/.f64 1/2 (pow.f64 i 3)))))) (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(/.f64 100 (/.f64 (/.f64 i (expm1.f64 i)) n))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))))
(fma.f64 (*.f64 i (exp.f64 i)) -50 (/.f64 100 (/.f64 (/.f64 i (expm1.f64 i)) n)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 1/3 (pow.f64 i 3))) i)) (/.f64 n (/.f64 i (expm1.f64 i))))))
(fma.f64 100 (fma.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 i (*.f64 (exp.f64 i) -50)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 -1/4 (pow.f64 i 4)))) (*.f64 n n)) (/.f64 (exp.f64 i) i)) (*.f64 100 (+.f64 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 1/3 (pow.f64 i 3))) i)) (/.f64 n (/.f64 i (expm1.f64 i)))))))
(fma.f64 (*.f64 i (exp.f64 i)) -50 (*.f64 100 (+.f64 (fma.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/4 (pow.f64 i 4) (*.f64 -1/48 (pow.f64 i 6)))) i)))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(/.f64 100 (/.f64 (/.f64 i (expm1.f64 i)) n))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))))
(fma.f64 (*.f64 i (exp.f64 i)) -50 (/.f64 100 (/.f64 (/.f64 i (expm1.f64 i)) n)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 1/3 (pow.f64 i 3))) i)) (/.f64 n (/.f64 i (expm1.f64 i))))))
(fma.f64 100 (fma.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 i (*.f64 (exp.f64 i) -50)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 -100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (/.f64 (fma.f64 1/48 (pow.f64 i 6) (fma.f64 1/6 (pow.f64 i 5) (*.f64 1/4 (pow.f64 i 4)))) i)) (*.f64 100 (+.f64 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 1/3 (pow.f64 i 3))) i)) (/.f64 n (/.f64 i (expm1.f64 i)))))))
(fma.f64 (*.f64 i (exp.f64 i)) -50 (fma.f64 100 (fma.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 -100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n (*.f64 n i))) (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 1/4 (pow.f64 i 4))))))))

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 100 (/.f64 i (/.f64 i n)))
17.0b
(/.f64 i (/.f64 i n))
Compiler

Compiled 20 to 7 computations (65% saved)

series10.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
6.0ms
n
@inf
(/.f64 i (/.f64 i n))
1.0ms
n
@-inf
(/.f64 i (/.f64 i n))
0.0ms
n
@inf
(*.f64 100 (/.f64 i (/.f64 i n)))
0.0ms
n
@-inf
(*.f64 100 (/.f64 i (/.f64 i n)))
0.0ms
i
@0
(/.f64 i (/.f64 i n))

rewrite61.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
753×pow1_binary64
707×add-log-exp_binary64
707×log1p-expm1-u_binary64
707×expm1-log1p-u_binary64
692×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
11555
222245
Stop Event
node limit
Counts
2 → 57
Calls
Call 1
Inputs
(/.f64 i (/.f64 i n))
(*.f64 100 (/.f64 i (/.f64 i n)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 i (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 (cbrt.f64 i) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 n) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 i) (*.f64 (sqrt.f64 i) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n i) i)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i 1) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) i) (/.f64 (cbrt.f64 i) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 i) i) (/.f64 (sqrt.f64 i) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) 1) (/.f64 (cbrt.f64 i) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 i) 1) (/.f64 (sqrt.f64 i) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 i (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 i) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 (sqrt.f64 i) (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 i n))) (/.f64 i (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (sqrt.f64 (/.f64 i n))) (/.f64 (cbrt.f64 i) (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i (neg.f64 i)) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 n 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 n 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 n) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 n) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 i (/.f64 (neg.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 n n))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 n 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 i 3) (pow.f64 (/.f64 i n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x . n)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 n))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 n 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 i 100) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 i 100)) (/.f64 (neg.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 i 100) i) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 i 100) 1) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 i 100) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 i 100) (sqrt.f64 (/.f64 i n))) (sqrt.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 i) 100) (/.f64 (neg.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (neg.f64 i)) (/.f64 (neg.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n 100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n 100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n 100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 n 100)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 n 100) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) n))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n 100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 n 100)))))))

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04120
15120
Stop Event
saturated
Counts
105 → 60
Calls
Call 1
Inputs
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
Outputs
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
n
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 n 100)
(*.f64 100 n)
(*.f64 n 100)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
17.4b
(/.f64 (*.f64 i 100) (/.f64 i n))
Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
i
@0
(/.f64 (*.f64 i 100) (/.f64 i n))
0.0ms
i
@inf
(/.f64 (*.f64 i 100) (/.f64 i n))
0.0ms
n
@inf
(/.f64 (*.f64 i 100) (/.f64 i n))
0.0ms
i
@-inf
(/.f64 (*.f64 i 100) (/.f64 i n))
0.0ms
n
@-inf
(/.f64 (*.f64 i 100) (/.f64 i n))

rewrite80.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
915×pow1_binary64
860×add-log-exp_binary64
860×log1p-expm1-u_binary64
860×expm1-log1p-u_binary64
843×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115610
2226010
Stop Event
node limit
Counts
1 → 53
Calls
Call 1
Inputs
(/.f64 (*.f64 i 100) (/.f64 i n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 100 (/.f64 i (/.f64 i n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 i (/.f64 1 (*.f64 (/.f64 i n) 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 i (*.f64 100 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 i (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (*.f64 i (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i 100) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (*.f64 100 (/.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (/.f64 i (/.f64 i n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 100 (/.f64 i (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 100 (/.f64 i (/.f64 i n)))) (pow.f64 (cbrt.f64 (*.f64 100 (/.f64 i (/.f64 i n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 100 (/.f64 i (/.f64 i n)))) 2) (cbrt.f64 (*.f64 100 (/.f64 i (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 i 100)) 2) (*.f64 (cbrt.f64 (*.f64 i 100)) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 100 (/.f64 i (/.f64 i n)))) (sqrt.f64 (*.f64 100 (/.f64 i (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 10 (sqrt.f64 i)) (*.f64 (*.f64 10 (sqrt.f64 i)) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i -100) (/.f64 1 (/.f64 (neg.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n i) (*.f64 i 100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (/.f64 i i)) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i 1) (/.f64 100 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i i) (/.f64 100 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 i 100)) 2) 1) (/.f64 (cbrt.f64 (*.f64 i 100)) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 10 (sqrt.f64 i)) 1) (/.f64 (*.f64 10 (sqrt.f64 i)) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 10 (sqrt.f64 i)) i) (/.f64 (*.f64 10 (sqrt.f64 i)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (/.f64 (*.f64 i 100) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 i 100)) 2) i) (/.f64 (cbrt.f64 (*.f64 i 100)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i (/.f64 i n)) 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 100 (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 i (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 (*.f64 i 100) (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 i 100)) 2) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 (*.f64 100 (/.f64 i (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 10 (sqrt.f64 i)) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 (*.f64 10 (sqrt.f64 i)) (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i (sqrt.f64 (/.f64 i n))) (/.f64 100 (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (sqrt.f64 (/.f64 i n))) (/.f64 i (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 i n))) (/.f64 (*.f64 i 100) (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 i 100)) 2) (sqrt.f64 (/.f64 i n))) (/.f64 (cbrt.f64 (*.f64 i 100)) (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 i 100) 1) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 i 100) (neg.f64 i)) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 100 (/.f64 i i)) 1) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 100 (/.f64 i i)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 100 (/.f64 i i)) (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (/.f64 i (/.f64 i n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (/.f64 i (/.f64 i n))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 (/.f64 i (/.f64 i n)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 100 (/.f64 i (/.f64 i n)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/100 (/.f64 (/.f64 i n) i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 i 100) (/.f64 (neg.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 100 (/.f64 i (/.f64 i n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 i) 100) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 (/.f64 i (/.f64 i n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 i 100) 3) (pow.f64 (/.f64 i n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (/.f64 i (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (/.f64 i (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (/.f64 i (/.f64 i n)))))))))

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0496
1596
Stop Event
saturated
Counts
77 → 54
Calls
Call 1
Inputs
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
Outputs
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (expm1.f64 i) 100)
13.7b
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
Compiler

Compiled 22 to 10 computations (54.5% saved)

series12.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
n
@0
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
2.0ms
i
@-inf
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
2.0ms
i
@inf
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
1.0ms
i
@0
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
1.0ms
n
@inf
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))

rewrite90.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
500×log-prod_binary64
392×exp-prod_binary64
294×prod-exp_binary64
258×pow-prod-down_binary64
225×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
117418
2245518
Stop Event
node limit
Counts
2 → 102
Calls
Call 1
Inputs
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 (expm1.f64 i) 100)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (expm1.f64 i)) 100) (/.f64 n i))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (expm1.f64 i)) 100) (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (expm1.f64 i)) 100) (/.f64 n i)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (expm1.f64 i)) 100) (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 i) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 i) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 i) 100) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))) (pow.f64 (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))) 2) (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) 2) (*.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))) (sqrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10) (*.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 i) -100) (/.f64 1 (/.f64 (neg.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n i) (*.f64 (expm1.f64 i) 100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) i) (/.f64 100 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 i) (/.f64 (expm1.f64 i) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) 2) i) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10) i) (/.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) 1) (/.f64 100 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10) 1) (/.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 100 (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 (expm1.f64 i) (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 i n)) -2) (/.f64 (*.f64 (expm1.f64 i) 100) (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) 2) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10) (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) (sqrt.f64 (/.f64 i n))) (/.f64 100 (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (sqrt.f64 (/.f64 i n))) (/.f64 (expm1.f64 i) (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 i n) -1/2) (/.f64 (*.f64 (expm1.f64 i) 100) (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) 2) (sqrt.f64 (/.f64 i n))) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (expm1.f64 i) 100) 1) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (neg.f64 i)) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 1) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/100 (/.f64 (/.f64 i n) (expm1.f64 i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 i) 100) 3) (pow.f64 (/.f64 n i) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/100 (/.f64 (/.f64 i n) (expm1.f64 i))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))))) 2)) (cbrt.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))))) (sqrt.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 (neg.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (expm1.f64 i)) 100) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 i) 100) 3) (pow.f64 (/.f64 n i) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/100 (/.f64 (/.f64 i n) (expm1.f64 i)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (expm1.f64 i)) 1) (log.f64 (*.f64 (/.f64 i n) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 i) 100)) 1) (log.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (expm1.f64 i) 100)) (*.f64 (log.f64 (/.f64 i n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 i) 100)) 1) (*.f64 (log.f64 (/.f64 i n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 i) 100)) 1) (log.f64 (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 n) 1) (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 n i)) (*.f64 (log.f64 (*.f64 (expm1.f64 i) 100)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) (*.f64 (log.f64 n) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (expm1.f64 i) 100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 i)) 100)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 i)) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (expm1.f64 i)) 100))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (expm1.f64 i)) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 i) 100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 i) 100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (expm1.f64 i) 2) 10000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 i) 100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (expm1.f64 i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 i) 100))) 2)) (cbrt.f64 (log.f64 (*.f64 (expm1.f64 i) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 i) 100)))) (sqrt.f64 (log.f64 (*.f64 (expm1.f64 i) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (expm1.f64 i) 2) 10000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (expm1.f64 i)) 100))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 i) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 i) 100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 i) 100)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (expm1.f64 i) 100) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 i) 100)) 1) 1))))))

simplify87.0ms (0.3%)

Algorithm
egg-herbie
Rules
803×unswap-sqr_binary64
766×fma-def_binary64
647×times-frac_binary64
570×distribute-lft-out_binary64
432×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042413
1117413
2294407
3953382
43059382
55399382
Stop Event
node limit
Counts
138 → 120
Calls
Call 1
Inputs
(*.f64 100 n)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 i)
(+.f64 (*.f64 100 i) (*.f64 50 (pow.f64 i 2)))
(+.f64 (*.f64 100 i) (+.f64 (*.f64 50/3 (pow.f64 i 3)) (*.f64 50 (pow.f64 i 2))))
(+.f64 (*.f64 100 i) (+.f64 (*.f64 50/3 (pow.f64 i 3)) (+.f64 (*.f64 50 (pow.f64 i 2)) (*.f64 25/6 (pow.f64 i 4)))))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (-.f64 (exp.f64 i) 1))
Outputs
(*.f64 100 n)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(fma.f64 50 (*.f64 n i) (*.f64 100 n))
(fma.f64 100 n (*.f64 50 (*.f64 n i)))
(*.f64 n (+.f64 (*.f64 50 i) 100))
(*.f64 n (fma.f64 50 i 100))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(fma.f64 50 (*.f64 n i) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 100 n)))
(fma.f64 50 (*.f64 n i) (fma.f64 100 n (*.f64 n (*.f64 (*.f64 i i) 50/3))))
(fma.f64 (*.f64 i i) (*.f64 n 50/3) (*.f64 n (+.f64 (*.f64 50 i) 100)))
(*.f64 n (+.f64 100 (*.f64 i (fma.f64 i 50/3 50))))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))))
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 100 n))))
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 100 n (*.f64 n (*.f64 (*.f64 i i) 50/3)))))
(fma.f64 n (*.f64 25/6 (pow.f64 i 3)) (fma.f64 (*.f64 i i) (*.f64 n 50/3) (*.f64 n (+.f64 (*.f64 50 i) 100))))
(*.f64 n (+.f64 (fma.f64 25/6 (pow.f64 i 3) 100) (*.f64 i (fma.f64 i 50/3 50))))
(*.f64 n (+.f64 (*.f64 i (fma.f64 i 50/3 50)) (fma.f64 25/6 (pow.f64 i 3) 100)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 i)
(+.f64 (*.f64 100 i) (*.f64 50 (pow.f64 i 2)))
(fma.f64 100 i (*.f64 50 (*.f64 i i)))
(*.f64 i (+.f64 100 (*.f64 50 i)))
(*.f64 i (fma.f64 50 i 100))
(+.f64 (*.f64 100 i) (+.f64 (*.f64 50/3 (pow.f64 i 3)) (*.f64 50 (pow.f64 i 2))))
(fma.f64 100 i (fma.f64 50/3 (pow.f64 i 3) (*.f64 50 (*.f64 i i))))
(fma.f64 100 i (fma.f64 50 (*.f64 i i) (*.f64 50/3 (pow.f64 i 3))))
(fma.f64 100 i (*.f64 (*.f64 i i) (+.f64 50 (*.f64 i 50/3))))
(*.f64 i (+.f64 (*.f64 i (fma.f64 i 50/3 50)) 100))
(*.f64 i (+.f64 100 (*.f64 i (fma.f64 i 50/3 50))))
(+.f64 (*.f64 100 i) (+.f64 (*.f64 50/3 (pow.f64 i 3)) (+.f64 (*.f64 50 (pow.f64 i 2)) (*.f64 25/6 (pow.f64 i 4)))))
(fma.f64 100 i (fma.f64 50/3 (pow.f64 i 3) (fma.f64 50 (*.f64 i i) (*.f64 25/6 (pow.f64 i 4)))))
(fma.f64 100 i (fma.f64 25/6 (pow.f64 i 4) (*.f64 (*.f64 i i) (+.f64 50 (*.f64 i 50/3)))))
(fma.f64 i (fma.f64 50 i 100) (*.f64 (pow.f64 i 3) (+.f64 50/3 (*.f64 i 25/6))))
(*.f64 i (+.f64 (*.f64 i (fma.f64 i 50/3 50)) (fma.f64 25/6 (pow.f64 i 3) 100)))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (expm1.f64 i))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (expm1.f64 i))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (expm1.f64 i))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (expm1.f64 i))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (expm1.f64 i))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (expm1.f64 i))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (expm1.f64 i))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(*.f64 100 (expm1.f64 i))

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100))
0.6b
(/.f64 1 (*.f64 (/.f64 i n) 1/100))
6.3b
(pow.f64 (+.f64 (/.f64 i n) 1) n)
15.2b
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
Compiler

Compiled 67 to 33 computations (50.7% saved)

series25.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
2.0ms
i
@inf
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
2.0ms
n
@0
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
2.0ms
n
@0
(/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100))
2.0ms
i
@-inf
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
1.0ms
n
@inf
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))

rewrite186.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
746×log-prod_binary64
503×fma-def_binary64
368×fma-neg_binary64
343×log-div_binary64
249×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01261
128856
2451256
Stop Event
node limit
Counts
4 → 268
Calls
Call 1
Inputs
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
(pow.f64 (+.f64 (/.f64 i n) 1) n)
(/.f64 1 (*.f64 (/.f64 i n) 1/100))
(/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100))
Outputs
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simplify187.0ms (0.7%)

Algorithm
egg-herbie
Rules
822×distribute-rgt-in_binary64
815×distribute-lft-in_binary64
429×fma-def_binary64
274×distribute-lft-out_binary64
224×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03414354
111864053
243323620
Stop Event
node limit
Counts
364 → 388
Calls
Call 1
Inputs
(*.f64 100 n)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))))
(/.f64 (-.f64 (*.f64 100 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (*.f64 100 n)) i)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))) (*.f64 100 (/.f64 n i)))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))) (*.f64 100 (/.f64 n i)))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))))) (*.f64 100 (/.f64 n i)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -100 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -100 n)) i))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -100 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -100 n)) i)) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -100 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -100 n)) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -100 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -100 n)) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))))))
(*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))))
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(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i)))))
Outputs
(*.f64 100 n)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (+.f64 n (*.f64 (*.f64 n i) (-.f64 1/2 (/.f64 1/2 n)))))
(*.f64 100 (fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n))
(*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))
(fma.f64 100 (*.f64 (*.f64 n (*.f64 i i)) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))) (*.f64 100 (+.f64 n (*.f64 (*.f64 n i) (-.f64 1/2 (/.f64 1/2 n))))))
(*.f64 100 (+.f64 (fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n) (*.f64 n (*.f64 (*.f64 i i) (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 1/2 (/.f64 -1/2 n)))))))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))))
(fma.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (/.f64 11/24 (*.f64 n n))) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))) (pow.f64 i 3))) (fma.f64 100 (*.f64 (*.f64 n (*.f64 i i)) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))) (*.f64 100 (+.f64 n (*.f64 (*.f64 n i) (-.f64 1/2 (/.f64 1/2 n)))))))
(+.f64 (*.f64 100 (fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n)) (*.f64 (*.f64 100 n) (+.f64 (*.f64 (-.f64 (+.f64 1/24 (/.f64 (/.f64 11/24 n) n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))) (pow.f64 i 3)) (*.f64 (*.f64 i i) (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))))))
(*.f64 100 (+.f64 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n) (*.f64 n (*.f64 (*.f64 i i) (+.f64 (*.f64 i (+.f64 1/24 (+.f64 (/.f64 (/.f64 11/24 n) n) (+.f64 (/.f64 -1/4 (pow.f64 n 3)) (/.f64 -1/4 n))))) (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n))))))))
(/.f64 (-.f64 (*.f64 100 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (*.f64 100 n)) i)
(/.f64 (*.f64 100 (-.f64 (*.f64 n (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) n)) i)
(/.f64 100 (/.f64 i (-.f64 (*.f64 n (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) n)))
(/.f64 100 (/.f64 i (-.f64 (*.f64 n (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n))) n)))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))) (*.f64 100 (/.f64 n i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) (*.f64 i i))) (/.f64 (*.f64 100 (-.f64 (*.f64 n (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) n)) i))
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) i)) (/.f64 100 (/.f64 i (-.f64 (*.f64 n (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) n))))
(*.f64 100 (-.f64 (*.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (+.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n i))) (/.f64 n i)))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))) (*.f64 100 (/.f64 n i)))
(+.f64 (fma.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) (*.f64 i i)) (*.f64 100 (+.f64 (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4)))))) (/.f64 n (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))))) (*.f64 -100 (/.f64 n i)))
(+.f64 (*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) i)) (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)))))) (/.f64 100 (/.f64 i (-.f64 (*.f64 n (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) n))))
(+.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (+.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n i))) (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)))))) (*.f64 n (/.f64 -100 i)))
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))))) (*.f64 100 (/.f64 n i)))
(+.f64 (fma.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) (*.f64 i i)) (fma.f64 100 (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4)))))) (*.f64 100 (+.f64 (/.f64 n (/.f64 (pow.f64 i 4) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 -1/2 (pow.f64 n 5) (*.f64 1/3 (pow.f64 n 4))))))) (/.f64 n (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))))))) (*.f64 -100 (/.f64 n i)))
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) i)) (+.f64 (*.f64 100 (+.f64 (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)))) (*.f64 (/.f64 n (pow.f64 i 4)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 1/3 (pow.f64 n 4) (*.f64 -1/2 (pow.f64 n 5)))))))) (/.f64 100 (/.f64 i (-.f64 (*.f64 n (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) n)))))
(+.f64 (*.f64 100 (+.f64 (+.f64 (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)))) (*.f64 (/.f64 n (pow.f64 i 4)) (*.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 1/3 (pow.f64 n 4) (*.f64 -1/2 (pow.f64 n 5))))))) (*.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (+.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n i))))) (*.f64 n (/.f64 -100 i)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -100 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -100 n)) i))
(neg.f64 (/.f64 (*.f64 -100 (-.f64 (*.f64 n (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))) n)) i))
(/.f64 (*.f64 100 (fma.f64 n (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (neg.f64 n))) i)
(/.f64 100 (/.f64 i (-.f64 (*.f64 n (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n))) n)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -100 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -100 n)) i)) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))))
(fma.f64 -1 (/.f64 (*.f64 -100 (-.f64 (*.f64 n (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))) n)) i) (*.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))))
(fma.f64 100 (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i) (/.f64 (pow.f64 n 3) i)) (/.f64 (*.f64 100 (fma.f64 n (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (neg.f64 n))) i))
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n))) (/.f64 100 (/.f64 i (-.f64 (*.f64 n (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n))) n))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -100 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -100 n)) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3)))))
(fma.f64 -1 (/.f64 (*.f64 -100 (-.f64 (*.f64 n (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))) n)) i) (*.f64 100 (+.f64 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))))))
(fma.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i) (/.f64 (pow.f64 n 3) i)) (/.f64 (*.f64 n (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2))) (/.f64 (pow.f64 i 3) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))))) (/.f64 (*.f64 100 (fma.f64 n (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (neg.f64 n))) i))
(fma.f64 100 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) i) (+.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (*.f64 n (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2))) (*.f64 i i)))) (/.f64 100 (/.f64 i (-.f64 (*.f64 n (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n))) n))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -100 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -100 n)) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))))))
(fma.f64 -1 (/.f64 (*.f64 -100 (-.f64 (*.f64 n (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))) n)) i) (fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (fma.f64 100 (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) (*.f64 -100 (/.f64 (*.f64 (*.f64 n (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))) (fma.f64 -1/3 (pow.f64 n 4) (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6)))) (pow.f64 i 4))))))
(+.f64 (/.f64 (*.f64 100 (fma.f64 n (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (neg.f64 n))) i) (fma.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i) (/.f64 (pow.f64 n 3) i)) (/.f64 (*.f64 n (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2))) (/.f64 (pow.f64 i 3) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))))) (*.f64 -100 (*.f64 (/.f64 n (pow.f64 i 4)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6))))))))
(-.f64 (fma.f64 100 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) i) (+.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (*.f64 n (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2))) (*.f64 i i)))) (*.f64 -100 (/.f64 (*.f64 n (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n))) (/.f64 (pow.f64 i 4) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6))))))) (/.f64 -100 (/.f64 i (-.f64 (*.f64 n (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n))) n))))
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(*.f64 100 (+.f64 (/.f64 n i) (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (*.f64 (*.f64 n n) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))))))
(*.f64 100 (+.f64 (*.f64 (*.f64 n n) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (*.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) n))) (/.f64 n i)))
(+.f64 (*.f64 100 (/.f64 n i)) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 (log.f64 i) i) (*.f64 -1 (/.f64 (log.f64 n) i))))))))
(fma.f64 100 (/.f64 n i) (fma.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (fma.f64 -1 (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) i) (/.f64 (log.f64 i) (*.f64 i i)))) (/.f64 1/2 (pow.f64 i 3)))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (/.f64 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2)) i))) (*.f64 (*.f64 n n) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i)))))))
(fma.f64 100 (/.f64 n i) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i)))) (fma.f64 (pow.f64 n 4) (+.f64 (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 -1/2 (pow.f64 i 3))) (*.f64 (*.f64 n n) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i)))))))
(*.f64 100 (+.f64 (/.f64 n i) (+.f64 (*.f64 (*.f64 n n) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (*.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) n))) (*.f64 (pow.f64 n 4) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 -1/2 (pow.f64 i 3))))))))
(*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i))
(*.f64 100 (/.f64 n (/.f64 i (exp.f64 i))))
(/.f64 (*.f64 100 n) (/.f64 i (exp.f64 i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i)))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (/.f64 n (/.f64 i (exp.f64 i)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (/.f64 (*.f64 100 n) (/.f64 i (exp.f64 i))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (/.f64 n (/.f64 i (exp.f64 i))))))
(fma.f64 100 (fma.f64 (/.f64 (fma.f64 (pow.f64 i 4) 1/8 (*.f64 1/3 (pow.f64 i 3))) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (exp.f64 i))) (*.f64 i (*.f64 (exp.f64 i) -50)))
(fma.f64 100 (*.f64 (exp.f64 i) (+.f64 (/.f64 n i) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (*.f64 n i)))) (*.f64 i (*.f64 (exp.f64 i) -50)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (fma.f64 -1/48 (pow.f64 i 6) (fma.f64 -1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) -1/4))) (*.f64 n n)) (/.f64 (exp.f64 i) i)) (*.f64 100 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (/.f64 n (/.f64 i (exp.f64 i)))))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 i 4) 1/8 (*.f64 1/3 (pow.f64 i 3))) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (exp.f64 i))) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (*.f64 n n))))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (*.f64 (/.f64 n i) (exp.f64 i)) (*.f64 (/.f64 (exp.f64 i) i) (+.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (*.f64 n n)) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n))))))
(*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i))
(*.f64 100 (/.f64 n (/.f64 i (exp.f64 i))))
(/.f64 (*.f64 100 n) (/.f64 i (exp.f64 i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i)))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (/.f64 n (/.f64 i (exp.f64 i)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (/.f64 (*.f64 100 n) (/.f64 i (exp.f64 i))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (/.f64 n (/.f64 i (exp.f64 i))))))
(fma.f64 100 (fma.f64 (/.f64 (fma.f64 (pow.f64 i 4) 1/8 (*.f64 1/3 (pow.f64 i 3))) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (exp.f64 i))) (*.f64 i (*.f64 (exp.f64 i) -50)))
(fma.f64 100 (*.f64 (exp.f64 i) (+.f64 (/.f64 n i) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (*.f64 n i)))) (*.f64 i (*.f64 (exp.f64 i) -50)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (fma.f64 -100 (/.f64 (exp.f64 i) (/.f64 (*.f64 i (*.f64 n n)) (fma.f64 1/48 (pow.f64 i 6) (fma.f64 1/6 (pow.f64 i 5) (*.f64 1/4 (pow.f64 i 4)))))) (*.f64 100 (/.f64 n (/.f64 i (exp.f64 i)))))))
(+.f64 (fma.f64 100 (fma.f64 (/.f64 (fma.f64 (pow.f64 i 4) 1/8 (*.f64 1/3 (pow.f64 i 3))) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (exp.f64 i))) (*.f64 i (*.f64 (exp.f64 i) -50))) (*.f64 -100 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 1/4 (pow.f64 i 4)))) (*.f64 n n)))))
(+.f64 (*.f64 (/.f64 (exp.f64 i) i) (+.f64 (*.f64 -100 (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 1/4 (pow.f64 i 4)))) (*.f64 n n))) (*.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n)))) (fma.f64 -50 (*.f64 i (exp.f64 i)) (/.f64 (*.f64 100 n) (/.f64 i (exp.f64 i)))))

eval847.0ms (3.4%)

Compiler

Compiled 28656 to 16217 computations (43.4% saved)

prune175.0ms (0.7%)

Pruning

39 alts after pruning (32 fresh and 7 done)

PrunedKeptTotal
New90525930
Fresh8715
Picked011
Done167
Total91439953
Error
0b
Counts
953 → 39
Alt Table
Click to see full alt table
StatusErrorProgram
46.8b
(exp.f64 (log.f64 (*.f64 n 100)))
16.5b
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))
16.7b
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) n)
48.2b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
16.7b
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100)) n)
54.3b
(-.f64 (/.f64 (+.f64 i 1) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
27.8b
(/.f64 1 (/.f64 1/100 n))
14.9b
(*.f64 (/.f64 (expm1.f64 i) i) (/.f64 100 (/.f64 1 n)))
35.3b
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100)))
46.5b
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
14.8b
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)
27.8b
(/.f64 100 (/.f64 1 n))
28.9b
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 i) 100))
26.8b
(*.f64 100 (-.f64 (+.f64 1 n) 1))
28.0b
(+.f64 (*.f64 i -50) (*.f64 100 n))
32.4b
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n)))
46.6b
(*.f64 100 (sqrt.f64 (*.f64 n n)))
28.3b
(*.f64 n (+.f64 100 (*.f64 50 i)))
31.3b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
35.2b
(/.f64 (*.f64 i 100) (/.f64 i n))
37.5b
(*.f64 i (*.f64 100 (/.f64 n i)))
32.1b
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n))))
48.1b
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
27.8b
(*.f64 100 (pow.f64 (/.f64 1 n) -1))
18.3b
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))
18.3b
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100)
37.2b
(*.f64 100 (*.f64 (/.f64 n i) i))
48.0b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
14.8b
(*.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (neg.f64 i)) (neg.f64 n))
37.3b
(*.f64 (/.f64 n i) (*.f64 i 100))
28.3b
(*.f64 100 (pow.f64 (cbrt.f64 n) 3))
36.6b
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n))))
17.7b
(/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n)))
53.3b
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) -1/100)) (*.f64 (*.f64 (/.f64 i n) 1/100) -1)) (*.f64 (*.f64 (/.f64 i n) 1/100) (*.f64 (/.f64 i n) -1/100)))
27.7b
(*.f64 n 100)
51.5b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
32.1b
(*.f64 (/.f64 1 i) (/.f64 (*.f64 i 100) (/.f64 1 n)))
27.4b
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
16.8b
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (/.f64 100 (/.f64 1 n)))
Compiler

Compiled 914 to 655 computations (28.3% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (expm1.f64 i) i)
0.1b
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)
0.1b
(*.f64 100 (/.f64 (expm1.f64 i) i))
Compiler

Compiled 25 to 10 computations (60% saved)

series4.0ms (0%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
i
@inf
(*.f64 100 (/.f64 (expm1.f64 i) i))
0.0ms
i
@0
(*.f64 100 (/.f64 (expm1.f64 i) i))
0.0ms
i
@-inf
(*.f64 100 (/.f64 (expm1.f64 i) i))
0.0ms
i
@-inf
(/.f64 (expm1.f64 i) i)
0.0ms
i
@0
(/.f64 (expm1.f64 i) i)

rewrite66.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
856×pow1_binary64
795×add-log-exp_binary64
795×log1p-expm1-u_binary64
795×expm1-log1p-u_binary64
778×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
116827
2212527
Stop Event
node limit
Counts
3 → 67
Calls
Call 1
Inputs
(*.f64 100 (/.f64 (expm1.f64 i) i))
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)
(/.f64 (expm1.f64 i) i)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 100 (/.f64 (expm1.f64 i) i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (/.f64 i (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 i (*.f64 100 (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (expm1.f64 i)) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 100 (expm1.f64 i))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 100 (expm1.f64 i)) 1) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 100 (expm1.f64 i)) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 100 (expm1.f64 i)) (sqrt.f64 i)) (sqrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (expm1.f64 i)) 100) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (neg.f64 (expm1.f64 i))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (expm1.f64 i) i)) 100))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (*.f64 100 (expm1.f64 i))) i)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 i) i) n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) (*.f64 (/.f64 (expm1.f64 i) i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 i) i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2) (cbrt.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (*.f64 (cbrt.f64 (expm1.f64 i)) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)) (sqrt.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 i)) (*.f64 (sqrt.f64 (expm1.f64 i)) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 i)) (/.f64 1 (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (expm1.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 i)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) 1) (/.f64 (sqrt.f64 (expm1.f64 i)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 (expm1.f64 i) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) (pow.f64 (cbrt.f64 i) 2)) (/.f64 (sqrt.f64 (expm1.f64 i)) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 i)) (/.f64 (expm1.f64 i) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (sqrt.f64 i)) (/.f64 (cbrt.f64 (expm1.f64 i)) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 i) i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 i (expm1.f64 i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 i) (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (expm1.f64 i) 3) (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 i) i)))))))

simplify59.0ms (0.2%)

Algorithm
egg-herbie
Rules
860×fma-def_binary64
527×associate-/l*_binary64
519×associate-/l/_binary64
483×distribute-lft-out_binary64
450×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051513
1140507
2359490
31058465
43123465
55041465
Stop Event
node limit
Counts
115 → 94
Calls
Call 1
Inputs
100
(+.f64 100 (*.f64 50 i))
(+.f64 100 (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2))))
(+.f64 100 (+.f64 (*.f64 50 i) (+.f64 (*.f64 25/6 (pow.f64 i 3)) (*.f64 50/3 (pow.f64 i 2)))))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 n)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
1
(+.f64 1 (*.f64 1/2 i))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (*.f64 1/2 i)))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (+.f64 (*.f64 1/2 i) (*.f64 1/24 (pow.f64 i 3)))))
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
Outputs
100
(+.f64 100 (*.f64 50 i))
(fma.f64 50 i 100)
(+.f64 100 (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2))))
(+.f64 100 (fma.f64 50 i (*.f64 50/3 (*.f64 i i))))
(+.f64 (fma.f64 50 i 100) (*.f64 i (*.f64 i 50/3)))
(fma.f64 i (*.f64 i 50/3) (fma.f64 50 i 100))
(fma.f64 i (fma.f64 i 50/3 50) 100)
(+.f64 100 (+.f64 (*.f64 50 i) (+.f64 (*.f64 25/6 (pow.f64 i 3)) (*.f64 50/3 (pow.f64 i 2)))))
(+.f64 100 (fma.f64 50 i (fma.f64 25/6 (pow.f64 i 3) (*.f64 50/3 (*.f64 i i)))))
(+.f64 (fma.f64 50 i 100) (fma.f64 25/6 (pow.f64 i 3) (*.f64 i (*.f64 i 50/3))))
(+.f64 100 (fma.f64 50 i (*.f64 (*.f64 i i) (+.f64 50/3 (*.f64 i 25/6)))))
(fma.f64 i (*.f64 i (fma.f64 i 25/6 50/3)) (fma.f64 50 i 100))
(fma.f64 (*.f64 i i) (fma.f64 i 25/6 50/3) (fma.f64 50 i 100))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 100 (expm1.f64 i)) i)
(*.f64 (expm1.f64 i) (/.f64 100 i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 100 (expm1.f64 i)) i)
(*.f64 (expm1.f64 i) (/.f64 100 i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 100 (expm1.f64 i)) i)
(*.f64 (expm1.f64 i) (/.f64 100 i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 100 (expm1.f64 i)) i)
(*.f64 (expm1.f64 i) (/.f64 100 i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 100 (expm1.f64 i)) i)
(*.f64 (expm1.f64 i) (/.f64 100 i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 100 (expm1.f64 i)) i)
(*.f64 (expm1.f64 i) (/.f64 100 i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 100 (expm1.f64 i)) i)
(*.f64 (expm1.f64 i) (/.f64 100 i))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(*.f64 100 (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 100 (expm1.f64 i)) i)
(*.f64 (expm1.f64 i) (/.f64 100 i))
(*.f64 100 n)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(fma.f64 50 (*.f64 i n) (*.f64 100 n))
(fma.f64 100 n (*.f64 50 (*.f64 i n)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 (fma.f64 50 i 100) n)
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(fma.f64 50 (*.f64 i n) (fma.f64 50/3 (*.f64 (*.f64 i i) n) (*.f64 100 n)))
(fma.f64 50 (*.f64 i n) (fma.f64 100 n (*.f64 (*.f64 i (*.f64 i 50/3)) n)))
(fma.f64 100 n (*.f64 n (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 n (fma.f64 i (fma.f64 i 50/3 50) 100))
(*.f64 (fma.f64 i (fma.f64 i 50/3 50) 100) n)
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))))
(fma.f64 50 (*.f64 i n) (fma.f64 25/6 (*.f64 (pow.f64 i 3) n) (fma.f64 50/3 (*.f64 (*.f64 i i) n) (*.f64 100 n))))
(fma.f64 50 (*.f64 i n) (fma.f64 25/6 (*.f64 (pow.f64 i 3) n) (fma.f64 100 n (*.f64 (*.f64 i (*.f64 i 50/3)) n))))
(+.f64 (*.f64 n (fma.f64 50 i 100)) (*.f64 n (*.f64 (*.f64 i i) (+.f64 50/3 (*.f64 i 25/6)))))
(*.f64 n (fma.f64 i (*.f64 i (fma.f64 i 25/6 50/3)) (fma.f64 50 i 100)))
(*.f64 (fma.f64 (*.f64 i i) (fma.f64 i 25/6 50/3) (fma.f64 50 i 100)) n)
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
1
(+.f64 1 (*.f64 1/2 i))
(+.f64 1 (*.f64 i 1/2))
(fma.f64 i 1/2 1)
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (*.f64 1/2 i)))
(fma.f64 1/6 (*.f64 i i) (+.f64 1 (*.f64 i 1/2)))
(fma.f64 (*.f64 i i) 1/6 (fma.f64 i 1/2 1))
(fma.f64 i 1/2 (fma.f64 i (*.f64 i 1/6) 1))
(fma.f64 i (fma.f64 i 1/6 1/2) 1)
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (+.f64 (*.f64 1/2 i) (*.f64 1/24 (pow.f64 i 3)))))
(fma.f64 1/6 (*.f64 i i) (+.f64 1 (fma.f64 1/2 i (*.f64 (pow.f64 i 3) 1/24))))
(fma.f64 (*.f64 i i) 1/6 (+.f64 (fma.f64 i 1/2 1) (*.f64 (pow.f64 i 3) 1/24)))
(fma.f64 i (*.f64 i 1/6) (fma.f64 (pow.f64 i 3) 1/24 (fma.f64 i 1/2 1)))
(fma.f64 i (fma.f64 i 1/6 1/2) (fma.f64 (pow.f64 i 3) 1/24 1))
(fma.f64 (*.f64 i i) (fma.f64 i 1/24 1/6) (fma.f64 i 1/2 1))
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1/100 n)
0.2b
(/.f64 1 (/.f64 1/100 n))
Compiler

Compiled 13 to 10 computations (23.1% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
0.0ms
n
@0
(/.f64 1/100 n)
0.0ms
n
@-inf
(/.f64 1/100 n)
0.0ms
n
@inf
(/.f64 1/100 n)
0.0ms
n
@0
(/.f64 1 (/.f64 1/100 n))
0.0ms
n
@inf
(/.f64 1 (/.f64 1/100 n))

rewrite50.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
548×pow1_binary64
519×add-log-exp_binary64
519×log1p-expm1-u_binary64
519×expm1-log1p-u_binary64
509×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11308
215078
Stop Event
node limit
Counts
2 → 46
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1/100 n))
(/.f64 1/100 n)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 n 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n 100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 n 100)) (pow.f64 (cbrt.f64 (*.f64 n 100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 n 100)) 2) (cbrt.f64 (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 10 (sqrt.f64 n)) (*.f64 10 (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -1/100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (pow.f64 (/.f64 1 n) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/100 n)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 1/100 n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/10 (sqrt.f64 n)) -1) (pow.f64 (/.f64 1/10 (sqrt.f64 n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -100 (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/100 n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n 100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n 100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n 100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10 (sqrt.f64 n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 10000 (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) n))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n 100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 n 100)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/100 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/100 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/100 (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/100 n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/100 n)) (pow.f64 (cbrt.f64 (/.f64 1/100 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/100 n)) 2) (cbrt.f64 (/.f64 1/100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/10 (sqrt.f64 n)) (/.f64 1/10 (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/100 (/.f64 1 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) 1/100)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/100 n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n 100) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/100 n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/100 n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/10 (sqrt.f64 n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/10000 (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/100 n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/100 n)))))))

simplify10.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0448
1548
Stop Event
saturated
Counts
58 → 46
Calls
Call 1
Inputs
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
Outputs
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 i (/.f64 1 n))
14.2b
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n)))
Compiler

Compiled 26 to 17 computations (34.6% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
i
@-inf
(/.f64 i (/.f64 1 n))
0.0ms
n
@-inf
(/.f64 i (/.f64 1 n))
0.0ms
n
@inf
(/.f64 i (/.f64 1 n))
0.0ms
i
@0
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n)))
0.0ms
i
@inf
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n)))

rewrite69.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
478×log-prod_binary64
414×prod-exp_binary64
370×exp-prod_binary64
328×pow-prod-down_binary64
244×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0920
120014
226768
Stop Event
node limit
Counts
2 → 144
Calls
Call 1
Inputs
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n)))
(/.f64 i (/.f64 1 n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 100 n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 100) n)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 100) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) n))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 100 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (*.f64 i (/.f64 1 (*.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (*.f64 (/.f64 1 (*.f64 i n)) i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (/.f64 (/.f64 i n) i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (/.f64 i (*.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 i (*.f64 (*.f64 i 1/100) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 i (*.f64 (/.f64 1 n) (*.f64 i 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 100 i) (/.f64 1 (*.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 i 1/100) (/.f64 1 (*.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1 (*.f64 i n)) (*.f64 i 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 i n) (*.f64 100 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 i (*.f64 100 (*.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 n) 100))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 i n) (*.f64 i 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -100 (/.f64 -1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -100 (*.f64 (neg.f64 i) (/.f64 1 (*.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -100 (*.f64 (/.f64 1 (*.f64 i n)) (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 i) (*.f64 (*.f64 i 1/100) (/.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 i) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (*.f64 i n)) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 100 i)) (neg.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 100 (*.f64 i n))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -100 i) (*.f64 (neg.f64 i) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (neg.f64 i)) (*.f64 i (/.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -100 (neg.f64 i)) (*.f64 (neg.f64 i) (/.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 i) 100) (*.f64 (/.f64 -1 n) i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 i) 1) (*.f64 (/.f64 -1 n) (*.f64 i 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 i -100) (*.f64 (/.f64 1 n) (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 i) -100) (*.f64 (/.f64 -1 n) (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 100 (*.f64 i n)) 1) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 100 (*.f64 i n)) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 100 (*.f64 i n)) (sqrt.f64 i)) (sqrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 100 (cbrt.f64 (pow.f64 n -2))) (/.f64 1 (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 100 (pow.f64 n -1/2)) (pow.f64 n -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -100 (*.f64 i n)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 i) (/.f64 100 i)) (/.f64 -1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 100 i) (neg.f64 i)) (/.f64 -1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 i n) -100) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 10000 (pow.f64 n -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 100 n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 i 1/100) (/.f64 1 (*.f64 i n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (*.f64 i n)) (*.f64 i 1/100)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 i n) (*.f64 100 i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 i (*.f64 100 (*.f64 i n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 n) 100) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 100 n))) 2)) (cbrt.f64 (log.f64 (*.f64 100 n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 100 n)))) (sqrt.f64 (log.f64 (*.f64 100 n))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 10000 (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) n))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 100 n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 100 n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 100 n))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 100 n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 100 n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 100 n)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 100 i)) 1) (neg.f64 (log.f64 (*.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 i n)) 1) (log.f64 (*.f64 i 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 100 (*.f64 i n))) (*.f64 (log.f64 i) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 99) (*.f64 (log.f64 n) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 99) (*.f64 (neg.f64 (log.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 100 i)) 1) (log.f64 (*.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 100 i)) (*.f64 (log.f64 (*.f64 i n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 100 i)) 1) (*.f64 (log.f64 (*.f64 i n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 i n)) 1) (log.f64 (/.f64 100 i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 i n)) (*.f64 (log.f64 (/.f64 100 i)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 i n)) 1) (*.f64 (log.f64 (/.f64 100 i)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 99) (*.f64 (log.f64 n) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 n) i)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) i))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 i n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 i n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n i)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 i n)) (pow.f64 (cbrt.f64 (*.f64 i n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 i n)) 2) (cbrt.f64 (*.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 (cbrt.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 i n)) (sqrt.f64 (*.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 n) (/.f64 i (pow.f64 n -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 i) (*.f64 (sqrt.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 i) (/.f64 1 (/.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) 1) (/.f64 (cbrt.f64 i) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 i) 1) (/.f64 (sqrt.f64 i) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 n -2))) (/.f64 i (/.f64 1 (cbrt.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (cbrt.f64 (pow.f64 n -2))) (cbrt.f64 (*.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 i) (cbrt.f64 (pow.f64 n -2))) (/.f64 (sqrt.f64 i) (/.f64 1 (cbrt.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 n -1/2)) (/.f64 (cbrt.f64 i) (pow.f64 n -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i -1) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 i n) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 i n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 i n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 i n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 i n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 i 3) (pow.f64 n -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (*.f64 i n)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 i 3) (pow.f64 n 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 n 3) (pow.f64 i 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 n) (cbrt.f64 i)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 n) (sqrt.f64 i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 i n))) 2)) (cbrt.f64 (log.f64 (*.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 i n)))) (sqrt.f64 (log.f64 (*.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 i (/.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 i n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 n) i))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 i n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 i 3) (pow.f64 n -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 i n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 i n))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 i n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 i n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 i n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 i n)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 i) 1) (neg.f64 (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 i) (*.f64 (log.f64 n) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 i) 1) (*.f64 (log.f64 n) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 i) (*.f64 (neg.f64 (log.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 i) 1) (*.f64 (neg.f64 (log.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 i) 1) (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 i) (*.f64 (log.f64 n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 i) 1) (*.f64 (log.f64 n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 n) 1) (log.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 n) (*.f64 (log.f64 i) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 n) 1) (*.f64 (log.f64 i) 1)))))))

simplify19.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06192
18192
Stop Event
saturated
Counts
192 → 145
Calls
Call 1
Inputs
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
Outputs
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)
(*.f64 n i)

localize11.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
29.5b
(sqrt.f64 (*.f64 n n))
Compiler

Compiled 17 to 7 computations (58.8% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
n
@inf
(sqrt.f64 (*.f64 n n))
1.0ms
n
@0
(sqrt.f64 (*.f64 n n))
0.0ms
n
@-inf
(sqrt.f64 (*.f64 n n))

rewrite96.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
393×log1p-udef_binary64
281×associate-*r*_binary64
269×associate-*l*_binary64
262×pow1_binary64
254×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041
1801
27281
375101
Stop Event
node limit
Counts
1 → 58
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 n n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 n 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 n)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 n)) 2)) (log.f64 (cbrt.f64 (exp.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 n))) (log.f64 (sqrt.f64 (exp.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 n 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 n) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2) (*.f64 (cbrt.f64 (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 n (cbrt.f64 n))) (cbrt.f64 (cbrt.f64 (pow.f64 n 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 n (cbrt.f64 n))) (pow.f64 (cbrt.f64 (pow.f64 n 5)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 n (cbrt.f64 n))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 n 8))) (cbrt.f64 (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n 1/6) (*.f64 (pow.f64 n 1/6) (pow.f64 (cbrt.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n 1/4) (sqrt.f64 (pow.f64 n 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n 1/4) (pow.f64 (pow.f64 n 3/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n 1/4) (*.f64 (pow.f64 n 1/4) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 n) (pow.f64 n 1/4)) (pow.f64 n 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 n 5/2)) (pow.f64 n 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 n 3/2)) (pow.f64 n 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 n 5))) (pow.f64 n 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 n 3/2) 1/2) (pow.f64 n 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 n 5)) 1/2) (pow.f64 n 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 n 8)) 1/3) (cbrt.f64 (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 n 5/2) 1/3) (pow.f64 n 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 n) (cbrt.f64 n)) (pow.f64 n 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 n) (cbrt.f64 (*.f64 n (cbrt.f64 n)))) (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2)) (cbrt.f64 (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 n 1/6)) (pow.f64 n 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 n 1) 3) 1) (+.f64 (*.f64 (+.f64 n 1) (+.f64 n 1)) (+.f64 1 (+.f64 n 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 n 1) (+.f64 n 1)) 1) (+.f64 (+.f64 n 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 n 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n n) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 n 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 n 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 n 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 n) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 n) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (*.f64 (log.f64 n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 n) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 n)) 2)) (cbrt.f64 (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 n)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (+.f64 n 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 n 3))))) (#(struct:change #<rule egg-rr> (2) ((x . n)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 n) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 n)) 3))))))

simplify15.0ms (0.1%)

Algorithm
egg-herbie
Rules
sub-neg_binary64
+-commutative_binary64
fma-def_binary64
*-commutative_binary64
associate-+l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0420
1620
2820
3920
41120
51520
61920
72420
Stop Event
saturated
Counts
70 → 61
Calls
Call 1
Inputs
n
n
n
n
n
n
n
n
(*.f64 -1 n)
(*.f64 -1 n)
(*.f64 -1 n)
(*.f64 -1 n)
Outputs
n
n
n
n
n
n
n
n
(*.f64 -1 n)
(neg.f64 n)
(*.f64 -1 n)
(neg.f64 n)
(*.f64 -1 n)
(neg.f64 n)
(*.f64 -1 n)
(neg.f64 n)

localize17.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
2.7b
(exp.f64 (log.f64 (*.f64 n 100)))
Compiler

Compiled 16 to 12 computations (25% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
n
@0
(exp.f64 (log.f64 (*.f64 n 100)))
1.0ms
n
@inf
(exp.f64 (log.f64 (*.f64 n 100)))
1.0ms
n
@-inf
(exp.f64 (log.f64 (*.f64 n 100)))

rewrite54.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
428×pow1_binary64
415×add-sqr-sqrt_binary64
407×*-un-lft-identity_binary64
399×add-log-exp_binary64
399×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064
11064
210844
Stop Event
node limit
Counts
1 → 28
Calls
Call 1
Inputs
(exp.f64 (log.f64 (*.f64 n 100)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 n 100 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 n) 100)) (cbrt.f64 (pow.f64 (exp.f64 n) 100)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) 100))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 n 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n 100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 n 100)) (cbrt.f64 (*.f64 10000 (*.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 10000 (*.f64 n n))) (cbrt.f64 (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) 100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 10 (sqrt.f64 n)) (*.f64 10 (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) 100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n 100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n 100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n 100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10 (sqrt.f64 n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 n 100)))) (sqrt.f64 (log.f64 (*.f64 n 100))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 n 100))) 2)) (cbrt.f64 (log.f64 (*.f64 n 100))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 10000 (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 n) 100))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n 100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 n 100)))))))

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0448
1548
Stop Event
saturated
Counts
40 → 28
Calls
Call 1
Inputs
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
Outputs
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)

eval107.0ms (0.4%)

Compiler

Compiled 3722 to 2340 computations (37.1% saved)

prune93.0ms (0.4%)

Pruning

47 alts after pruning (38 fresh and 9 done)

PrunedKeptTotal
New35519374
Fresh81927
Picked011
Done3811
Total36647413
Error
0b
Counts
413 → 47
Alt Table
Click to see full alt table
StatusErrorProgram
46.8b
(exp.f64 (log.f64 (*.f64 n 100)))
26.7b
(+.f64 1 (fma.f64 n 100 -1))
28.3b
(*.f64 100 (pow.f64 (cbrt.f64 n) 3))
16.5b
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))
16.7b
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) n)
48.2b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
32.7b
(/.f64 1 (*.f64 (/.f64 1 (*.f64 i n)) (*.f64 i 1/100)))
16.7b
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100)) n)
54.3b
(-.f64 (/.f64 (+.f64 i 1) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
47.3b
(*.f64 (/.f64 100 i) (exp.f64 (log.f64 (*.f64 i n))))
27.8b
(/.f64 1 (/.f64 1/100 n))
14.9b
(*.f64 (/.f64 (expm1.f64 i) i) (/.f64 100 (/.f64 1 n)))
35.3b
(/.f64 (*.f64 (neg.f64 i) 100) (*.f64 (/.f64 -1 n) i))
35.3b
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100)))
32.4b
(*.f64 (/.f64 100 i) (*.f64 (neg.f64 i) (/.f64 1 (/.f64 -1 n))))
27.8b
(/.f64 100 (/.f64 1 n))
14.9b
(*.f64 (*.f64 100 (*.f64 (/.f64 1 i) (expm1.f64 i))) n)
28.9b
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 i) 100))
51.8b
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1/100 n)) 1))
35.5b
(/.f64 i (*.f64 (/.f64 1 n) (*.f64 i 1/100)))
26.8b
(*.f64 100 (-.f64 (+.f64 n 1) 1))
28.0b
(+.f64 (*.f64 i -50) (*.f64 100 n))
32.7b
(/.f64 100 (*.f64 (/.f64 1 (*.f64 i n)) i))
28.3b
(*.f64 (+.f64 100 (*.f64 50 i)) n)
31.3b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
27.9b
(/.f64 1 (*.f64 (/.f64 1 n) 1/100))
35.2b
(/.f64 (*.f64 i 100) (/.f64 i n))
32.1b
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n))))
18.9b
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
37.5b
(*.f64 i (*.f64 100 (/.f64 n i)))
48.1b
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
18.3b
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100)
32.2b
(/.f64 (*.f64 i n) (*.f64 i 1/100))
62.5b
(*.f64 100 (neg.f64 n))
18.3b
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))
37.2b
(*.f64 100 (*.f64 (/.f64 n i) i))
14.8b
(*.f64 (/.f64 (*.f64 100 (expm1.f64 i)) i) n)
48.0b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
36.6b
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n))))
17.7b
(/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n)))
53.3b
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) -1/100)) (*.f64 (*.f64 (/.f64 i n) 1/100) -1)) (*.f64 (*.f64 (/.f64 i n) 1/100) (*.f64 (/.f64 i n) -1/100)))
27.7b
(*.f64 n 100)
32.4b
(*.f64 (/.f64 100 i) (*.f64 n i))
51.5b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
46.6b
(/.f64 1 (sqrt.f64 (/.f64 1/10000 (*.f64 n n))))
27.4b
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
16.8b
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (/.f64 100 (/.f64 1 n)))
Compiler

Compiled 588 to 424 computations (27.9% saved)

regimes371.0ms (1.5%)

Counts
80 → 3
Calls
Call 1
Inputs
(*.f64 n 100)
(*.f64 100 (neg.f64 n))
(/.f64 1 (/.f64 1/100 n))
(/.f64 100 (/.f64 1 n))
(*.f64 100 (-.f64 (+.f64 n 1) 1))
(*.f64 (+.f64 100 (*.f64 50 i)) n)
(/.f64 1 (*.f64 (/.f64 1 n) 1/100))
(/.f64 (*.f64 i n) (*.f64 i 1/100))
(*.f64 (/.f64 100 i) (*.f64 n i))
(*.f64 100 (-.f64 (+.f64 1 n) 1))
(*.f64 i (*.f64 100 (/.f64 n i)))
(*.f64 100 (*.f64 (/.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(/.f64 (*.f64 i 100) (/.f64 i n))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1/100 n)) 1))
(/.f64 i (*.f64 (/.f64 1 n) (*.f64 i 1/100)))
(/.f64 100 (*.f64 (/.f64 1 (*.f64 i n)) i))
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100)))
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n)))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(/.f64 (*.f64 (neg.f64 i) 100) (*.f64 (/.f64 -1 n) i))
(/.f64 1 (*.f64 (/.f64 1 (*.f64 i n)) (*.f64 i 1/100)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n))))
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n))))
(*.f64 (/.f64 1 i) (/.f64 (*.f64 i 100) (/.f64 1 n)))
(*.f64 (/.f64 100 i) (*.f64 (neg.f64 i) (/.f64 1 (/.f64 -1 n))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(-.f64 (/.f64 (+.f64 i 1) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(+.f64 1 (fma.f64 n 100 -1))
(*.f64 100 (sqrt.f64 (*.f64 n n)))
(*.f64 100 (pow.f64 (/.f64 1 n) -1))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 (/.f64 (*.f64 100 (expm1.f64 i)) i) n)
(/.f64 1 (sqrt.f64 (/.f64 1/10000 (*.f64 n n))))
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 i) 100))
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 100 (*.f64 (/.f64 1 i) (expm1.f64 i))) n)
(*.f64 (/.f64 (expm1.f64 i) i) (/.f64 100 (/.f64 1 n)))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (neg.f64 i)) (neg.f64 n))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 (expm1.f64 (*.f64 n (/.f64 i n))) 100) (/.f64 i n))
(fma.f64 n 100 (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 100))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n)))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) -1/100)) (*.f64 (*.f64 (/.f64 i n) 1/100) -1)) (*.f64 (*.f64 (/.f64 i n) 1/100) (*.f64 (/.f64 i n) -1/100)))
(exp.f64 (log.f64 (*.f64 n 100)))
(*.f64 100 (pow.f64 (cbrt.f64 n) 3))
(*.f64 100 (pow.f64 (cbrt.f64 n) 3))
(*.f64 (/.f64 100 i) (exp.f64 (log.f64 (*.f64 i n))))
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) n)
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100)) n)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100)
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)) n)
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n))
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (/.f64 100 (/.f64 1 n)))
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n))
(+.f64 0 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)))
(pow.f64 (*.f64 1/100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) -1)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))) 10) 2)
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)) 3))
Outputs
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
(*.f64 100 (-.f64 (+.f64 n 1) 1))
Calls

4 calls:

171.0ms
i
120.0ms
n
28.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
24.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Results
ErrorSegmentsBranch
5.2b4i
4.2b3n
0.2b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
0.2b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 916 to 497 computations (45.7% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6494657860.045693
NaN
0.0ms
0.0
8.784133440664712e-234
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes304.0ms (1.2%)

Counts
68 → 3
Calls
Call 1
Inputs
(*.f64 n 100)
(*.f64 100 (neg.f64 n))
(/.f64 1 (/.f64 1/100 n))
(/.f64 100 (/.f64 1 n))
(*.f64 100 (-.f64 (+.f64 n 1) 1))
(*.f64 (+.f64 100 (*.f64 50 i)) n)
(/.f64 1 (*.f64 (/.f64 1 n) 1/100))
(/.f64 (*.f64 i n) (*.f64 i 1/100))
(*.f64 (/.f64 100 i) (*.f64 n i))
(*.f64 100 (-.f64 (+.f64 1 n) 1))
(*.f64 i (*.f64 100 (/.f64 n i)))
(*.f64 100 (*.f64 (/.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(/.f64 (*.f64 i 100) (/.f64 i n))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1/100 n)) 1))
(/.f64 i (*.f64 (/.f64 1 n) (*.f64 i 1/100)))
(/.f64 100 (*.f64 (/.f64 1 (*.f64 i n)) i))
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100)))
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n)))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(/.f64 (*.f64 (neg.f64 i) 100) (*.f64 (/.f64 -1 n) i))
(/.f64 1 (*.f64 (/.f64 1 (*.f64 i n)) (*.f64 i 1/100)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n))))
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n))))
(*.f64 (/.f64 1 i) (/.f64 (*.f64 i 100) (/.f64 1 n)))
(*.f64 (/.f64 100 i) (*.f64 (neg.f64 i) (/.f64 1 (/.f64 -1 n))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(-.f64 (/.f64 (+.f64 i 1) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(+.f64 1 (fma.f64 n 100 -1))
(*.f64 100 (sqrt.f64 (*.f64 n n)))
(*.f64 100 (pow.f64 (/.f64 1 n) -1))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 (/.f64 (*.f64 100 (expm1.f64 i)) i) n)
(/.f64 1 (sqrt.f64 (/.f64 1/10000 (*.f64 n n))))
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 i) 100))
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 100 (*.f64 (/.f64 1 i) (expm1.f64 i))) n)
(*.f64 (/.f64 (expm1.f64 i) i) (/.f64 100 (/.f64 1 n)))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (neg.f64 i)) (neg.f64 n))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 (expm1.f64 (*.f64 n (/.f64 i n))) 100) (/.f64 i n))
(fma.f64 n 100 (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 100))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n)))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) -1/100)) (*.f64 (*.f64 (/.f64 i n) 1/100) -1)) (*.f64 (*.f64 (/.f64 i n) 1/100) (*.f64 (/.f64 i n) -1/100)))
(exp.f64 (log.f64 (*.f64 n 100)))
(*.f64 100 (pow.f64 (cbrt.f64 n) 3))
(*.f64 100 (pow.f64 (cbrt.f64 n) 3))
(*.f64 (/.f64 100 i) (exp.f64 (log.f64 (*.f64 i n))))
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) n)
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100)) n)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100)
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)) n)
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
Outputs
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) n)
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
(*.f64 100 (-.f64 (+.f64 n 1) 1))
Calls

4 calls:

130.0ms
i
104.0ms
n
23.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
22.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Results
ErrorSegmentsBranch
5.4b4i
4.3b3n
0.9b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
0.9b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 742 to 434 computations (41.5% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6494657860.045693
NaN
0.0ms
0.0
8.784133440664712e-234
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes404.0ms (1.6%)

Counts
62 → 5
Calls
Call 1
Inputs
(*.f64 n 100)
(*.f64 100 (neg.f64 n))
(/.f64 1 (/.f64 1/100 n))
(/.f64 100 (/.f64 1 n))
(*.f64 100 (-.f64 (+.f64 n 1) 1))
(*.f64 (+.f64 100 (*.f64 50 i)) n)
(/.f64 1 (*.f64 (/.f64 1 n) 1/100))
(/.f64 (*.f64 i n) (*.f64 i 1/100))
(*.f64 (/.f64 100 i) (*.f64 n i))
(*.f64 100 (-.f64 (+.f64 1 n) 1))
(*.f64 i (*.f64 100 (/.f64 n i)))
(*.f64 100 (*.f64 (/.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(/.f64 (*.f64 i 100) (/.f64 i n))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1/100 n)) 1))
(/.f64 i (*.f64 (/.f64 1 n) (*.f64 i 1/100)))
(/.f64 100 (*.f64 (/.f64 1 (*.f64 i n)) i))
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100)))
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n)))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(/.f64 (*.f64 (neg.f64 i) 100) (*.f64 (/.f64 -1 n) i))
(/.f64 1 (*.f64 (/.f64 1 (*.f64 i n)) (*.f64 i 1/100)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n))))
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n))))
(*.f64 (/.f64 1 i) (/.f64 (*.f64 i 100) (/.f64 1 n)))
(*.f64 (/.f64 100 i) (*.f64 (neg.f64 i) (/.f64 1 (/.f64 -1 n))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(-.f64 (/.f64 (+.f64 i 1) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(+.f64 1 (fma.f64 n 100 -1))
(*.f64 100 (sqrt.f64 (*.f64 n n)))
(*.f64 100 (pow.f64 (/.f64 1 n) -1))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 (/.f64 (*.f64 100 (expm1.f64 i)) i) n)
(/.f64 1 (sqrt.f64 (/.f64 1/10000 (*.f64 n n))))
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 i) 100))
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 100 (*.f64 (/.f64 1 i) (expm1.f64 i))) n)
(*.f64 (/.f64 (expm1.f64 i) i) (/.f64 100 (/.f64 1 n)))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (neg.f64 i)) (neg.f64 n))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 (expm1.f64 (*.f64 n (/.f64 i n))) 100) (/.f64 i n))
(fma.f64 n 100 (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 100))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n)))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) -1/100)) (*.f64 (*.f64 (/.f64 i n) 1/100) -1)) (*.f64 (*.f64 (/.f64 i n) 1/100) (*.f64 (/.f64 i n) -1/100)))
(exp.f64 (log.f64 (*.f64 n 100)))
(*.f64 100 (pow.f64 (cbrt.f64 n) 3))
(*.f64 100 (pow.f64 (cbrt.f64 n) 3))
(*.f64 (/.f64 100 i) (exp.f64 (log.f64 (*.f64 i n))))
Outputs
(*.f64 (/.f64 (*.f64 100 (expm1.f64 i)) i) n)
(/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n)))
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)
Calls

4 calls:

194.0ms
i
152.0ms
n
20.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
18.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Results
ErrorSegmentsBranch
9.3b3i
8.6b5n
10.7b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
10.7b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 664 to 411 computations (38.1% saved)

bsearch2.0s (7.8%)

Algorithm
binary-search
Steps
TimeLeftRight
220.0ms
6.041019261882009e-30
1.3375844714274135e-25
81.0ms
-2.215520233747318e-232
-3.107425722672403e-236
274.0ms
-6.90478987052218e-155
-9.301686591535009e-169
1.4s
-7.698737125551297e-5
-3.2740221120503304e-9
Compiler

Compiled 1110 to 831 computations (25.1% saved)

regimes675.0ms (2.7%)

Counts
55 → 3
Calls
Call 1
Inputs
(*.f64 n 100)
(*.f64 100 (neg.f64 n))
(/.f64 1 (/.f64 1/100 n))
(/.f64 100 (/.f64 1 n))
(*.f64 100 (-.f64 (+.f64 n 1) 1))
(*.f64 (+.f64 100 (*.f64 50 i)) n)
(/.f64 1 (*.f64 (/.f64 1 n) 1/100))
(/.f64 (*.f64 i n) (*.f64 i 1/100))
(*.f64 (/.f64 100 i) (*.f64 n i))
(*.f64 100 (-.f64 (+.f64 1 n) 1))
(*.f64 i (*.f64 100 (/.f64 n i)))
(*.f64 100 (*.f64 (/.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(/.f64 (*.f64 i 100) (/.f64 i n))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1/100 n)) 1))
(/.f64 i (*.f64 (/.f64 1 n) (*.f64 i 1/100)))
(/.f64 100 (*.f64 (/.f64 1 (*.f64 i n)) i))
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100)))
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n)))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(/.f64 (*.f64 (neg.f64 i) 100) (*.f64 (/.f64 -1 n) i))
(/.f64 1 (*.f64 (/.f64 1 (*.f64 i n)) (*.f64 i 1/100)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n))))
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n))))
(*.f64 (/.f64 1 i) (/.f64 (*.f64 i 100) (/.f64 1 n)))
(*.f64 (/.f64 100 i) (*.f64 (neg.f64 i) (/.f64 1 (/.f64 -1 n))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(-.f64 (/.f64 (+.f64 i 1) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(+.f64 1 (fma.f64 n 100 -1))
(*.f64 100 (sqrt.f64 (*.f64 n n)))
(*.f64 100 (pow.f64 (/.f64 1 n) -1))
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(*.f64 (/.f64 (*.f64 100 (expm1.f64 i)) i) n)
(/.f64 1 (sqrt.f64 (/.f64 1/10000 (*.f64 n n))))
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 i) 100))
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 100 (*.f64 (/.f64 1 i) (expm1.f64 i))) n)
(*.f64 (/.f64 (expm1.f64 i) i) (/.f64 100 (/.f64 1 n)))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (neg.f64 i)) (neg.f64 n))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 (expm1.f64 (*.f64 n (/.f64 i n))) 100) (/.f64 i n))
(fma.f64 n 100 (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 100))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Outputs
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
Calls

4 calls:

503.0ms
i
114.0ms
n
20.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
18.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Results
ErrorSegmentsBranch
10.2b3i
10.4b4n
10.7b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
10.7b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 566 to 353 computations (37.6% saved)

bsearch1.1s (4.3%)

Algorithm
binary-search
Steps
TimeLeftRight
267.0ms
1.0845619322461194e-7
16526384358106.844
815.0ms
-1.4341093182620273e-177
-4.161158220670075e-193
Compiler

Compiled 374 to 301 computations (19.5% saved)

regimes536.0ms (2.1%)

Counts
39 → 3
Calls
Call 1
Inputs
(*.f64 n 100)
(*.f64 100 (neg.f64 n))
(/.f64 1 (/.f64 1/100 n))
(/.f64 100 (/.f64 1 n))
(*.f64 100 (-.f64 (+.f64 n 1) 1))
(*.f64 (+.f64 100 (*.f64 50 i)) n)
(/.f64 1 (*.f64 (/.f64 1 n) 1/100))
(/.f64 (*.f64 i n) (*.f64 i 1/100))
(*.f64 (/.f64 100 i) (*.f64 n i))
(*.f64 100 (-.f64 (+.f64 1 n) 1))
(*.f64 i (*.f64 100 (/.f64 n i)))
(*.f64 100 (*.f64 (/.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(/.f64 (*.f64 i 100) (/.f64 i n))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1/100 n)) 1))
(/.f64 i (*.f64 (/.f64 1 n) (*.f64 i 1/100)))
(/.f64 100 (*.f64 (/.f64 1 (*.f64 i n)) i))
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100)))
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n)))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(/.f64 (*.f64 (neg.f64 i) 100) (*.f64 (/.f64 -1 n) i))
(/.f64 1 (*.f64 (/.f64 1 (*.f64 i n)) (*.f64 i 1/100)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n))))
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n))))
(*.f64 (/.f64 1 i) (/.f64 (*.f64 i 100) (/.f64 1 n)))
(*.f64 (/.f64 100 i) (*.f64 (neg.f64 i) (/.f64 1 (/.f64 -1 n))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(-.f64 (/.f64 (+.f64 i 1) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(+.f64 1 (fma.f64 n 100 -1))
(*.f64 100 (sqrt.f64 (*.f64 n n)))
(*.f64 100 (pow.f64 (/.f64 1 n) -1))
Outputs
(+.f64 1 (fma.f64 n 100 -1))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
Calls

2 calls:

338.0ms
n
186.0ms
i
Results
ErrorSegmentsBranch
18.5b3i
20.2b6n
Compiler

Compiled 374 to 251 computations (32.9% saved)

bsearch807.0ms (3.2%)

Algorithm
binary-search
Steps
TimeLeftRight
82.0ms
1.0845619322461194e-7
16526384358106.844
724.0ms
-9.802725730192604e-98
-2.994814124047714e-98
Compiler

Compiled 519 to 421 computations (18.9% saved)

regimes166.0ms (0.7%)

Counts
36 → 3
Calls
Call 1
Inputs
(*.f64 n 100)
(*.f64 100 (neg.f64 n))
(/.f64 1 (/.f64 1/100 n))
(/.f64 100 (/.f64 1 n))
(*.f64 100 (-.f64 (+.f64 n 1) 1))
(*.f64 (+.f64 100 (*.f64 50 i)) n)
(/.f64 1 (*.f64 (/.f64 1 n) 1/100))
(/.f64 (*.f64 i n) (*.f64 i 1/100))
(*.f64 (/.f64 100 i) (*.f64 n i))
(*.f64 100 (-.f64 (+.f64 1 n) 1))
(*.f64 i (*.f64 100 (/.f64 n i)))
(*.f64 100 (*.f64 (/.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(/.f64 (*.f64 i 100) (/.f64 i n))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1/100 n)) 1))
(/.f64 i (*.f64 (/.f64 1 n) (*.f64 i 1/100)))
(/.f64 100 (*.f64 (/.f64 1 (*.f64 i n)) i))
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100)))
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n)))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(/.f64 (*.f64 (neg.f64 i) 100) (*.f64 (/.f64 -1 n) i))
(/.f64 1 (*.f64 (/.f64 1 (*.f64 i n)) (*.f64 i 1/100)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n))))
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n))))
(*.f64 (/.f64 1 i) (/.f64 (*.f64 i 100) (/.f64 1 n)))
(*.f64 (/.f64 100 i) (*.f64 (neg.f64 i) (/.f64 1 (/.f64 -1 n))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(-.f64 (/.f64 (+.f64 i 1) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
Outputs
(*.f64 100 (-.f64 (+.f64 n 1) 1))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
Calls

2 calls:

100.0ms
n
55.0ms
i
Results
ErrorSegmentsBranch
18.5b3i
20.2b6n
Compiler

Compiled 355 to 237 computations (33.2% saved)

bsearch739.0ms (2.9%)

Algorithm
binary-search
Steps
TimeLeftRight
134.0ms
1.0845619322461194e-7
16526384358106.844
605.0ms
-9.802725730192604e-98
-2.994814124047714e-98
Compiler

Compiled 524 to 426 computations (18.7% saved)

regimes136.0ms (0.5%)

Counts
33 → 3
Calls
Call 1
Inputs
(*.f64 n 100)
(*.f64 100 (neg.f64 n))
(/.f64 1 (/.f64 1/100 n))
(/.f64 100 (/.f64 1 n))
(*.f64 100 (-.f64 (+.f64 n 1) 1))
(*.f64 (+.f64 100 (*.f64 50 i)) n)
(/.f64 1 (*.f64 (/.f64 1 n) 1/100))
(/.f64 (*.f64 i n) (*.f64 i 1/100))
(*.f64 (/.f64 100 i) (*.f64 n i))
(*.f64 100 (-.f64 (+.f64 1 n) 1))
(*.f64 i (*.f64 100 (/.f64 n i)))
(*.f64 100 (*.f64 (/.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(/.f64 (*.f64 i 100) (/.f64 i n))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1/100 n)) 1))
(/.f64 i (*.f64 (/.f64 1 n) (*.f64 i 1/100)))
(/.f64 100 (*.f64 (/.f64 1 (*.f64 i n)) i))
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100)))
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n)))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(/.f64 (*.f64 (neg.f64 i) 100) (*.f64 (/.f64 -1 n) i))
(/.f64 1 (*.f64 (/.f64 1 (*.f64 i n)) (*.f64 i 1/100)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n))))
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n))))
(*.f64 (/.f64 1 i) (/.f64 (*.f64 i 100) (/.f64 1 n)))
(*.f64 (/.f64 100 i) (*.f64 (neg.f64 i) (/.f64 1 (/.f64 -1 n))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(-.f64 (/.f64 (+.f64 i 1) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
Outputs
(*.f64 100 (-.f64 (+.f64 n 1) 1))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
Calls

2 calls:

84.0ms
n
43.0ms
i
Results
ErrorSegmentsBranch
18.5b3i
20.2b6n
Compiler

Compiled 284 to 187 computations (34.2% saved)

bsearch413.0ms (1.6%)

Algorithm
binary-search
Steps
TimeLeftRight
79.0ms
1.0845619322461194e-7
16526384358106.844
333.0ms
-9.802725730192604e-98
-2.994814124047714e-98
Compiler

Compiled 492 to 394 computations (19.9% saved)

regimes120.0ms (0.5%)

Counts
31 → 3
Calls
Call 1
Inputs
(*.f64 n 100)
(*.f64 100 (neg.f64 n))
(/.f64 1 (/.f64 1/100 n))
(/.f64 100 (/.f64 1 n))
(*.f64 100 (-.f64 (+.f64 n 1) 1))
(*.f64 (+.f64 100 (*.f64 50 i)) n)
(/.f64 1 (*.f64 (/.f64 1 n) 1/100))
(/.f64 (*.f64 i n) (*.f64 i 1/100))
(*.f64 (/.f64 100 i) (*.f64 n i))
(*.f64 100 (-.f64 (+.f64 1 n) 1))
(*.f64 i (*.f64 100 (/.f64 n i)))
(*.f64 100 (*.f64 (/.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(/.f64 (*.f64 i 100) (/.f64 i n))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1/100 n)) 1))
(/.f64 i (*.f64 (/.f64 1 n) (*.f64 i 1/100)))
(/.f64 100 (*.f64 (/.f64 1 (*.f64 i n)) i))
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100)))
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n)))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(/.f64 (*.f64 (neg.f64 i) 100) (*.f64 (/.f64 -1 n) i))
(/.f64 1 (*.f64 (/.f64 1 (*.f64 i n)) (*.f64 i 1/100)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n))))
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n))))
(*.f64 (/.f64 1 i) (/.f64 (*.f64 i 100) (/.f64 1 n)))
(*.f64 (/.f64 100 i) (*.f64 (neg.f64 i) (/.f64 1 (/.f64 -1 n))))
Outputs
(*.f64 100 (-.f64 (+.f64 n 1) 1))
(*.f64 (+.f64 100 (*.f64 50 i)) n)
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
Calls

2 calls:

74.0ms
n
38.0ms
i
Results
ErrorSegmentsBranch
18.6b3i
20.2b6n
Compiler

Compiled 252 to 166 computations (34.1% saved)

bsearch409.0ms (1.6%)

Algorithm
binary-search
Steps
TimeLeftRight
77.0ms
1.0845619322461194e-7
16526384358106.844
331.0ms
-9.802725730192604e-98
-2.994814124047714e-98
Compiler

Compiled 364 to 298 computations (18.1% saved)

regimes220.0ms (0.9%)

Counts
23 → 3
Calls
Call 1
Inputs
(*.f64 n 100)
(*.f64 100 (neg.f64 n))
(/.f64 1 (/.f64 1/100 n))
(/.f64 100 (/.f64 1 n))
(*.f64 100 (-.f64 (+.f64 n 1) 1))
(*.f64 (+.f64 100 (*.f64 50 i)) n)
(/.f64 1 (*.f64 (/.f64 1 n) 1/100))
(/.f64 (*.f64 i n) (*.f64 i 1/100))
(*.f64 (/.f64 100 i) (*.f64 n i))
(*.f64 100 (-.f64 (+.f64 1 n) 1))
(*.f64 i (*.f64 100 (/.f64 n i)))
(*.f64 100 (*.f64 (/.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(/.f64 (*.f64 i 100) (/.f64 i n))
(+.f64 (*.f64 i -50) (*.f64 100 n))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1/100 n)) 1))
(/.f64 i (*.f64 (/.f64 1 n) (*.f64 i 1/100)))
(/.f64 100 (*.f64 (/.f64 1 (*.f64 i n)) i))
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100)))
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n)))
Outputs
(*.f64 100 (-.f64 (+.f64 n 1) 1))
(*.f64 (+.f64 100 (*.f64 50 i)) n)
(*.f64 100 (-.f64 (+.f64 n 1) 1))
Calls

2 calls:

151.0ms
i
64.0ms
n
Results
ErrorSegmentsBranch
18.7b3i
20.2b6n
Compiler

Compiled 168 to 110 computations (34.5% saved)

bsearch609.0ms (2.4%)

Algorithm
binary-search
Steps
TimeLeftRight
252.0ms
1.0845619322461194e-7
16526384358106.844
356.0ms
-9.802725730192604e-98
-2.994814124047714e-98
Compiler

Compiled 342 to 287 computations (16.1% saved)

regimes69.0ms (0.3%)

Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 n 100)
(*.f64 100 (neg.f64 n))
(/.f64 1 (/.f64 1/100 n))
(/.f64 100 (/.f64 1 n))
(*.f64 100 (-.f64 (+.f64 n 1) 1))
Outputs
(*.f64 100 (-.f64 (+.f64 n 1) 1))
(*.f64 n 100)
(*.f64 100 (-.f64 (+.f64 n 1) 1))
Calls

2 calls:

49.0ms
n
18.0ms
i
Results
ErrorSegmentsBranch
18.8b3i
22.5b3n
Compiler

Compiled 32 to 25 computations (21.9% saved)

bsearch707.0ms (2.8%)

Algorithm
binary-search
Steps
TimeLeftRight
335.0ms
1.245466140336405e-31
1.4024026877503424e-23
372.0ms
-9.802725730192604e-98
-2.994814124047714e-98
Compiler

Compiled 246 to 211 computations (14.2% saved)

regimes9.0ms (0%)

Accuracy

Total -34.9b remaining (-126.1%)

Threshold costs -34.9b (-126.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 n 100)
(*.f64 100 (neg.f64 n))
(/.f64 1 (/.f64 1/100 n))
(/.f64 100 (/.f64 1 n))
Outputs
(*.f64 n 100)
Calls

2 calls:

4.0ms
n
4.0ms
i
Results
ErrorSegmentsBranch
27.7b1i
27.7b1n
Compiler

Compiled 25 to 19 computations (24% saved)

simplify40.0ms (0.2%)

Algorithm
egg-herbie
Rules
26×*-commutative_binary64
14×+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109646
1151646
2165646
3172646
4176646
5177646
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 41943040000000000/4194304) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) (*.f64 100 (-.f64 (+.f64 n 1) 1))))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) n) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 41943040000000000/4194304) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) (*.f64 100 (-.f64 (+.f64 n 1) 1))))
(if (<=.f64 n -5534023222112865/73786976294838206464) (*.f64 (/.f64 (*.f64 100 (expm1.f64 i)) i) n) (if (<=.f64 n -2018324372703715/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n))) (if (<=.f64 n -6300558862064491520/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) (if (<=.f64 n 9061310151451597824/1461501637330902918203684832716283019655932542976) (/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n))) (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)))))
(if (<=.f64 i -6543038603749149/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))))
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (+.f64 1 (fma.f64 n 100 -1)) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))))
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (*.f64 100 (-.f64 (+.f64 n 1) 1)) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))))
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (*.f64 100 (-.f64 (+.f64 n 1) 1)) (if (<=.f64 i 16500000000000) (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))))
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (*.f64 100 (-.f64 (+.f64 n 1) 1)) (if (<=.f64 i 16500000000000) (*.f64 (+.f64 100 (*.f64 50 i)) n) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))))
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (*.f64 100 (-.f64 (+.f64 n 1) 1)) (if (<=.f64 i 519460313115661/4722366482869645213696) (*.f64 (+.f64 100 (*.f64 50 i)) n) (*.f64 100 (-.f64 (+.f64 n 1) 1))))
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (*.f64 100 (-.f64 (+.f64 n 1) 1)) (if (<=.f64 i 182687704666362880/1461501637330902918203684832716283019655932542976) (*.f64 n 100) (*.f64 100 (-.f64 (+.f64 n 1) 1))))
(*.f64 n 100)
Outputs
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 41943040000000000/4194304) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) (*.f64 100 (-.f64 (+.f64 n 1) 1))))
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 0) (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n)) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 10000000000) (*.f64 (/.f64 n i) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100)) (*.f64 100 (+.f64 (+.f64 1 n) -1))))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) n) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 41943040000000000/4194304) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) (*.f64 100 (-.f64 (+.f64 n 1) 1))))
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 0) (*.f64 n (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i)) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 10000000000) (*.f64 (/.f64 n i) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100)) (*.f64 100 (+.f64 (+.f64 1 n) -1))))
(if (<=.f64 n -5534023222112865/73786976294838206464) (*.f64 (/.f64 (*.f64 100 (expm1.f64 i)) i) n) (if (<=.f64 n -2018324372703715/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n))) (if (<=.f64 n -6300558862064491520/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) (if (<=.f64 n 9061310151451597824/1461501637330902918203684832716283019655932542976) (/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n))) (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)))))
(if (<=.f64 n -5534023222112865/73786976294838206464) (*.f64 n (/.f64 (*.f64 100 (expm1.f64 i)) i)) (if (<=.f64 n -2018324372703715/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n))) (if (<=.f64 n -6152889513734855/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) (if (<=.f64 n 8848935694776951/1427247692705959881058285969449495136382746624) (/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n))) (*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))))))
(if (<=.f64 n -5534023222112865/73786976294838206464) (*.f64 n (/.f64 (*.f64 100 (expm1.f64 i)) i)) (if (<=.f64 n -2018324372703715/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (/.f64 1 (fma.f64 1/100 (*.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (/.f64 1/100 n))) (if (<=.f64 n -6152889513734855/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) (if (<=.f64 n 8848935694776951/1427247692705959881058285969449495136382746624) (/.f64 1 (fma.f64 1/100 (*.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (/.f64 1/100 n))) (*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))))))
(if (<=.f64 i -6543038603749149/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))))
(if (<=.f64 i -6543038603749149/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 (*.f64 n (*.f64 100 (expm1.f64 i))) i) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 -1/2 (/.f64 1 n)))))) (*.f64 n 100)) (*.f64 0 (/.f64 n i))))
(if (<=.f64 i -6543038603749149/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 (*.f64 n (*.f64 100 (expm1.f64 i))) i) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 (/.f64 1 n) -1/2))))) (*.f64 n 100)) (*.f64 0 (/.f64 n i))))
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (+.f64 1 (fma.f64 n 100 -1)) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))))
(if (<=.f64 i -7387876161823965/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (+.f64 1 (fma.f64 n 100 -1)) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 -1/2 (/.f64 1 n)))))) (*.f64 n 100)) (*.f64 0 (/.f64 n i))))
(if (<=.f64 i -7387876161823965/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (+.f64 1 (fma.f64 n 100 -1)) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 (/.f64 1 n) -1/2))))) (*.f64 n 100)) (*.f64 0 (/.f64 n i))))
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (*.f64 100 (-.f64 (+.f64 n 1) 1)) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))))
(if (<=.f64 i -7387876161823965/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (*.f64 100 (+.f64 (+.f64 1 n) -1)) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 -1/2 (/.f64 1 n)))))) (*.f64 n 100)) (*.f64 0 (/.f64 n i))))
(if (<=.f64 i -7387876161823965/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (*.f64 100 (+.f64 (+.f64 1 n) -1)) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 (/.f64 1 n) -1/2))))) (*.f64 n 100)) (*.f64 0 (/.f64 n i))))
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (*.f64 100 (-.f64 (+.f64 n 1) 1)) (if (<=.f64 i 16500000000000) (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))))
(if (<=.f64 i -7387876161823965/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (*.f64 100 (+.f64 (+.f64 1 n) -1)) (if (<=.f64 i 16500000000000) (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 -1/2 (/.f64 1 n))))))) (*.f64 0 (/.f64 n i))))
(if (<=.f64 i -7387876161823965/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (*.f64 100 (+.f64 (+.f64 1 n) -1)) (if (<=.f64 i 16500000000000) (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 (/.f64 1 n) -1/2)))))) (*.f64 0 (/.f64 n i))))
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (*.f64 100 (-.f64 (+.f64 n 1) 1)) (if (<=.f64 i 16500000000000) (*.f64 (+.f64 100 (*.f64 50 i)) n) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))))
(if (<=.f64 i -7387876161823965/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (*.f64 100 (+.f64 (+.f64 1 n) -1)) (if (<=.f64 i 16500000000000) (*.f64 n (+.f64 100 (*.f64 i 50))) (*.f64 0 (/.f64 n i))))
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (*.f64 100 (-.f64 (+.f64 n 1) 1)) (if (<=.f64 i 519460313115661/4722366482869645213696) (*.f64 (+.f64 100 (*.f64 50 i)) n) (*.f64 100 (-.f64 (+.f64 n 1) 1))))
(if (<=.f64 i -7387876161823965/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (*.f64 100 (+.f64 (+.f64 1 n) -1)) (if (<=.f64 i 519460313115661/4722366482869645213696) (*.f64 n (+.f64 100 (*.f64 i 50))) (*.f64 100 (+.f64 (+.f64 1 n) -1))))
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (*.f64 100 (-.f64 (+.f64 n 1) 1)) (if (<=.f64 i 182687704666362880/1461501637330902918203684832716283019655932542976) (*.f64 n 100) (*.f64 100 (-.f64 (+.f64 n 1) 1))))
(if (<=.f64 i -7387876161823965/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (*.f64 100 (+.f64 (+.f64 1 n) -1)) (if (<=.f64 i 178405961588245/1427247692705959881058285969449495136382746624) (*.f64 n 100) (*.f64 100 (+.f64 (+.f64 1 n) -1))))
(*.f64 n 100)
Compiler

Compiled 462 to 326 computations (29.4% saved)

soundness94.0ms (0.4%)

Algorithm
egg-herbie
Rules
701×fma-def_binary64
561×associate-/r/_binary64
483×associate-/r*_binary64
476×associate-*l/_binary64
408×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01122
12922
26820
317220
453120
5239320
6726320
Stop Event
node limit
Compiler

Compiled 247 to 176 computations (28.7% saved)

end1.6s (6.5%)

Compiler

Compiled 442 to 294 computations (33.5% saved)

Profiling

Loading profile data...