Details

Time bar (total: 24.2s)

analyze344.0ms (1.4%)

Algorithm
1×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 (31.5%)

Results
3.4s1863×body2048valid
2.4s2646×body1024valid
470.0ms1247×body512valid
437.0ms2471×body256valid
258.0ms1176×body256invalid
228.0ms185×body1024invalid
157.0ms265×body512invalid
153.0ms29×body4096valid
23.0ms18×body2048invalid

preprocess123.0ms (0.5%)

Algorithm
2×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
1×saturated
1×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)

simplify57.0ms (0.2%)

Algorithm
1×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
1×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)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
49.7b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶49.8b
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
▶49.7b
(*.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)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
✓1.9b
(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
✓5.5b
(pow.f64 (+.f64 1 (/.f64 i n)) n)
✓9.1b
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 58 to 29 computations (50% saved)

series48.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
6.0ms
n
@0
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
5.0ms
n
@inf
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
5.0ms
i
@inf
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
5.0ms
i
@-inf
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
3.0ms
i
@0
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))

rewrite372.0ms (1.5%)

Algorithm
1×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
1×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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simplify237.0ms (1%)

Algorithm
1×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
1×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
✓1.9b
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
5.5b
(pow.f64 (+.f64 1 (/.f64 i n)) n)
✓11.6b
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
Compiler

Compiled 49 to 25 computations (49% saved)

series13.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
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
i
@inf
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)

rewrite83.0ms (0.3%)

Algorithm
1×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
1×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))))))

simplify192.0ms (0.8%)

Algorithm
1×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
1×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))

eval987.0ms (4.1%)

Compiler

Compiled 29258 to 15410 computations (47.3% saved)

prune136.0ms (0.6%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New69820718
Fresh000
Picked101
Done011
Total69921720
Error
0.0b
Counts
720 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
27.0b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
▶26.2b
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
49.5b
(/.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) i)
14.4b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
33.4b
(*.f64 (/.f64 n i) (*.f64 100 i))
▶53.7b
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
49.8b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
✓49.7b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
15.4b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
29.9b
(*.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)))))))
31.8b
(*.f64 100 (/.f64 i (/.f64 i n)))
▶14.4b
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
27.5b
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
49.8b
(+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))
▶49.8b
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i)))
51.4b
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
15.5b
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n))
20.5b
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
48.1b
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
27.0b
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
▶26.5b
(*.f64 n 100)
Compiler

Compiled 605 to 419 computations (30.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
✓5.3b
(log1p.f64 (/.f64 i n))
✓9.9b
(*.f64 n (log1p.f64 (/.f64 i n)))
✓10.0b
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
Compiler

Compiled 49 to 10 computations (79.6% saved)

series16.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite278.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
587×log-prod_binary64
451×exp-prod_binary64
318×pow-prod-down_binary64
271×pow2_binary64
236×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01052
121252
2284152
Stop Event
1×node limit
Counts
4 → 146
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
(*.f64 n (log1p.f64 (/.f64 i n)))
(log1p.f64 (/.f64 i n))
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
Outputs
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simplify245.0ms (1%)

Algorithm
1×egg-herbie
Rules
799×distribute-rgt-in_binary64
780×distribute-lft-in_binary64
393×fma-def_binary64
224×associate-+r+_binary64
219×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03244287
110743990
240573798
Stop Event
1×node limit
Counts
242 → 284
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)
(+.f64 (*.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 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(+.f64 (*.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 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i) (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)) (/.f64 (log.f64 i) (pow.f64 i 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))))
(+.f64 (*.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 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i) (+.f64 (*.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 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)) (/.f64 (log.f64 i) (pow.f64 i 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3))))))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i))))
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (+.f64 (*.f64 -1/2 (*.f64 i (exp.f64 i))) (/.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 (*.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 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (+.f64 (*.f64 -1/2 (*.f64 i (exp.f64 i))) (/.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 n (-.f64 (exp.f64 i) 1)) i)
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4))) (exp.f64 i)) (*.f64 n i)) (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i)))))
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (+.f64 (*.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))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i)) (*.f64 -1/2 (*.f64 i (exp.f64 i))))))
n
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 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)))))))
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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 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)))))
Outputs
(/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)
(/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i))))
(*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))
(+.f64 (*.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 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(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)))))
(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))))
(+.f64 (*.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 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i) (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)) (/.f64 (log.f64 i) (pow.f64 i 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))))
(+.f64 (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 (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)))))
(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 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))))
(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 (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 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i) (+.f64 (*.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 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)) (/.f64 (log.f64 i) (pow.f64 i 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3))))))))
(+.f64 (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))))) (fma.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 (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 (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 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 (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 (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 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 (expm1.f64 i) (/.f64 i n))
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i))))
(+.f64 (/.f64 n (/.f64 i (expm1.f64 i))) (*.f64 -1/2 (*.f64 i (exp.f64 i))))
(fma.f64 -1/2 (*.f64 i (exp.f64 i)) (/.f64 n (/.f64 i (expm1.f64 i))))
(fma.f64 -1/2 (*.f64 i (exp.f64 i)) (/.f64 (expm1.f64 i) (/.f64 i n)))
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (+.f64 (*.f64 -1/2 (*.f64 i (exp.f64 i))) (/.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 n (/.f64 i (expm1.f64 i))) (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (/.f64 n (/.f64 i (expm1.f64 i)))))
(+.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) (*.f64 (exp.f64 i) (+.f64 (*.f64 i -1/2) (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) (*.f64 n i)))))
(+.f64 (/.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 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (+.f64 (*.f64 -1/2 (*.f64 i (exp.f64 i))) (/.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 (/.f64 n (/.f64 i (expm1.f64 i))) (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i)))) (*.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)))
(fma.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 (exp.f64 i) i) (fma.f64 (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (/.f64 n (/.f64 i (expm1.f64 i))))))
(+.f64 (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (/.f64 (expm1.f64 i) (/.f64 i n))) (*.f64 (/.f64 (exp.f64 i) i) (+.f64 (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) 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)))) (*.f64 n n)))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 (expm1.f64 i) (/.f64 i n))
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i))))
(+.f64 (/.f64 n (/.f64 i (expm1.f64 i))) (*.f64 -1/2 (*.f64 i (exp.f64 i))))
(fma.f64 -1/2 (*.f64 i (exp.f64 i)) (/.f64 n (/.f64 i (expm1.f64 i))))
(fma.f64 -1/2 (*.f64 i (exp.f64 i)) (/.f64 (expm1.f64 i) (/.f64 i n)))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4))) (exp.f64 i)) (*.f64 n i)) (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i)))))
(+.f64 (/.f64 n (/.f64 i (expm1.f64 i))) (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (/.f64 n (/.f64 i (expm1.f64 i)))))
(+.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) (*.f64 (exp.f64 i) (+.f64 (*.f64 i -1/2) (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) (*.f64 n i)))))
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (+.f64 (*.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))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i)) (*.f64 -1/2 (*.f64 i (exp.f64 i))))))
(+.f64 (/.f64 n (/.f64 i (expm1.f64 i))) (fma.f64 -1 (*.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 (pow.f64 i 4) 1/4))) i)) (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i)))))
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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)))))))
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(fma.f64 n (fma.f64 (*.f64 i i) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.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)
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(/.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)))))))
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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 (/.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 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) (/.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 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) 100 (*.f64 100 (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (+.f64 (*.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 4) 1/3 (*.f64 (pow.f64 n 5) -1/2)))))))))
(*.f64 100 (+.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)) (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4)))) (*.f64 i i)))) (+.f64 (*.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 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n))))))
(*.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 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) 100)
(*.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) 100)
(+.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 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) (/.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 (+.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) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) 100)
(*.f64 (+.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) (*.f64 i i)) (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)))) 100)
(+.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 i (expm1.f64 (*.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))))))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (+.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 n (pow.f64 i 3)) (*.f64 (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 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 (*.f64 n (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4)))) (*.f64 i 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)))))
(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 (*.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 -1/6 (pow.f64 n 6))))) (pow.f64 i 4)) (*.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 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (+.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 n (pow.f64 i 3)) (*.f64 (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 (*.f64 n -100) (/.f64 (/.f64 (pow.f64 i 4) (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 -1/6 (pow.f64 n 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 (*.f64 n (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4)))) (*.f64 i i)))))) (*.f64 (*.f64 (/.f64 n (pow.f64 i 4)) (*.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6)))))) -100))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize43.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓4.7b
(-.f64 (+.f64 i 1) 1)
✓14.6b
(/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n))
Compiler

Compiled 37 to 23 computations (37.8% saved)

series4.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite198.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
510×prod-diff_binary64
457×log-prod_binary64
265×fma-def_binary64
262×pow-prod-down_binary64
253×egg-rr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0814
11918
231152
Stop Event
1×node limit
Counts
2 → 316
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n))
(-.f64 (+.f64 i 1) 1)
Outputs
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(#(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 log.f64 (+.f64 1 (expm1.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 exp.f64 (*.f64 (log.f64 n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 n 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 i 1) (/.f64 i n)) (neg.f64 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 i 1) (/.f64 n i) (neg.f64 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 i 1) (/.f64 i n))) 2) (cbrt.f64 (/.f64 (+.f64 i 1) (/.f64 i n))) (neg.f64 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 i 1) (/.f64 i n))) (sqrt.f64 (/.f64 (+.f64 i 1) (/.f64 i n))) (neg.f64 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 i) (/.f64 (+.f64 i 1) (/.f64 1 n)) (neg.f64 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 i n)) -2) (/.f64 (+.f64 i 1) (cbrt.f64 (/.f64 i n))) (neg.f64 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 i n) -1/2) (/.f64 (+.f64 i 1) (sqrt.f64 (/.f64 i n))) (neg.f64 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 i 1)) 2) i) (/.f64 (cbrt.f64 (+.f64 i 1)) (/.f64 1 n)) (neg.f64 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 i 1)) i) (/.f64 (sqrt.f64 (+.f64 i 1)) (/.f64 1 n)) (neg.f64 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 i 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 i 1)) (/.f64 i n)) (neg.f64 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 i 1)) 1) (/.f64 (sqrt.f64 (+.f64 i 1)) (/.f64 i n)) (neg.f64 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 i 1)) 2) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 (cbrt.f64 (+.f64 i 1)) (cbrt.f64 (/.f64 i n))) (neg.f64 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 i 1)) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 (sqrt.f64 (+.f64 i 1)) (cbrt.f64 (/.f64 i n))) (neg.f64 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 i 1)) 2) (sqrt.f64 (/.f64 i n))) (/.f64 (cbrt.f64 (+.f64 i 1)) (sqrt.f64 (/.f64 i n))) (neg.f64 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 i 1)) (sqrt.f64 (/.f64 i n))) (/.f64 (sqrt.f64 (+.f64 i 1)) (sqrt.f64 (/.f64 i n))) (neg.f64 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 i 1) i) n (neg.f64 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 i 1) 1) (/.f64 n i) (neg.f64 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 i 1) (neg.f64 i)) (neg.f64 n) (neg.f64 (/.f64 n i)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 i 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 i -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 i 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 i)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 i 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 i)) 2)) (log.f64 (cbrt.f64 (exp.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 i))) (log.f64 (sqrt.f64 (exp.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 i 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 i)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 i) (/.f64 i (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i (cbrt.f64 i)) (cbrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i (cbrt.f64 i)) (*.f64 (cbrt.f64 i) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 i) (sqrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 i) (*.f64 (sqrt.f64 i) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 i))) (/.f64 1 (+.f64 (pow.f64 (+.f64 i 1) 2) (+.f64 i 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 i 2) i) (/.f64 1 (+.f64 i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 i 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 i 1) 2) (+.f64 i 2)) (expm1.f64 (*.f64 3 (log1p.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 i 2) (*.f64 (+.f64 i 2) i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 i))) (+.f64 (pow.f64 (+.f64 i 1) 2) (+.f64 i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 i))) (+.f64 (pow.f64 (+.f64 i 1) 2) (-.f64 1 (*.f64 (+.f64 i 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 i 2) i) (+.f64 i 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 i)))) (neg.f64 (+.f64 (pow.f64 (+.f64 i 1) 2) (+.f64 i 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 i 2) i)) (neg.f64 (+.f64 i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 i 3) 0) (fma.f64 i i (-.f64 0 (*.f64 i 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 i i 0) i)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 i 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i i) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 i) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 i) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 i 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 i 1) 2) (+.f64 i 2)) (expm1.f64 (*.f64 3 (log1p.f64 i)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 i 2) (*.f64 (+.f64 i 2) i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 i 3))))) (#(struct:change #<rule egg-rr> (2) ((x . i)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 i) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 i) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 i)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 i 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 i 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 i 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 i 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 i) (/.f64 i (cbrt.f64 i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 i (cbrt.f64 i)) (cbrt.f64 i) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 i (cbrt.f64 i)) (*.f64 (cbrt.f64 i) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 i 1)) (pow.f64 (cbrt.f64 (+.f64 i 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 i 1)) 2) (cbrt.f64 (+.f64 i 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 i 1)) 2) (*.f64 (cbrt.f64 (+.f64 i 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 i) (sqrt.f64 i) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 i) (*.f64 (sqrt.f64 i) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 i 1)) (sqrt.f64 (+.f64 i 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 i 1)) (*.f64 (sqrt.f64 (+.f64 i 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 i))) (/.f64 1 (+.f64 (pow.f64 (+.f64 i 1) 2) (+.f64 i 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 i 3)) (/.f64 1 (-.f64 (fma.f64 i i 1) i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 i 2) i) (/.f64 1 (+.f64 i 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 i i -1) (/.f64 1 (+.f64 i -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 i 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 i))) 0)))))

simplify18.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0236
Stop Event
1×saturated
Counts
352 → 318
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
i
i
i
i
i
i
i
i
i
i
i
i
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
i
i
i
i
i
i
i
i
i
i
i
i

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
✓12.6b
(/.f64 (expm1.f64 i) (/.f64 i n))
Compiler

Compiled 24 to 8 computations (66.7% saved)

series10.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite60.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
965×pow1_binary64
901×add-log-exp_binary64
901×log1p-expm1-u_binary64
901×expm1-log1p-u_binary64
85×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
117421
2239121
Stop Event
1×node limit
Counts
2 → 65
Calls
Call 1
Inputs
(/.f64 (expm1.f64 i) (/.f64 i n))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 i) (/.f64 i n)) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 i) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (/.f64 (expm1.f64 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (expm1.f64 i) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 2) (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (*.f64 (cbrt.f64 (expm1.f64 i)) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 i)) (*.f64 (sqrt.f64 (expm1.f64 i)) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 i)) (/.f64 1 (/.f64 (neg.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n i) (expm1.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) i) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 i)) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) 1) (/.f64 (sqrt.f64 (expm1.f64 i)) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) i) (/.f64 (sqrt.f64 (expm1.f64 i)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (/.f64 (expm1.f64 i) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) i) (/.f64 (cbrt.f64 (expm1.f64 i)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 (sqrt.f64 (expm1.f64 i)) (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 i n))) (/.f64 (expm1.f64 i) (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (sqrt.f64 (/.f64 i n))) (/.f64 (cbrt.f64 (expm1.f64 i)) (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) 1) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) (neg.f64 i)) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (expm1.f64 i) i) 1) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (expm1.f64 i) i) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (expm1.f64 i) i) (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 i n) (expm1.f64 i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 i) (/.f64 (neg.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (expm1.f64 i)) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (expm1.f64 i) 3) (pow.f64 (/.f64 i n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) 100)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (expm1.f64 i) 100)) (/.f64 (neg.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 i) 100) 1) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.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 (expm1.f64 i) 100) (sqrt.f64 (/.f64 i n))) (sqrt.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (expm1.f64 i)) 100) (/.f64 (neg.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (neg.f64 (expm1.f64 i))) (/.f64 (neg.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) 100)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) 100))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 10) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 2) 10000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (expm1.f64 i)) (/.f64 n i)) 100))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) 100)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 i) (*.f64 (/.f64 n i) 100))))))))

simplify65.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
916×fma-def_binary64
643×times-frac_binary64
609×distribute-lft-out_binary64
432×associate-/l/_binary64
395×distribute-rgt-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040548
1113544
2296539
3984518
43325515
55305515
Stop Event
1×node limit
Counts
113 → 84
Calls
Call 1
Inputs
n
(+.f64 n (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (*.f64 1/2 (*.f64 n i))))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (+.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 1/24 (*.f64 n (pow.f64 i 3))))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.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))
Outputs
n
(+.f64 n (*.f64 1/2 (*.f64 n i)))
(fma.f64 1/2 (*.f64 n i) n)
(fma.f64 n (*.f64 1/2 i) n)
(*.f64 n (fma.f64 1/2 i 1))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (*.f64 1/2 (*.f64 n i))))
(fma.f64 1/6 (*.f64 n (*.f64 i i)) (+.f64 n (*.f64 1/2 (*.f64 n i))))
(fma.f64 1/6 (*.f64 n (*.f64 i i)) (fma.f64 1/2 (*.f64 n i) n))
(fma.f64 n (*.f64 i (*.f64 i 1/6)) (fma.f64 n (*.f64 1/2 i) n))
(fma.f64 i (*.f64 n (+.f64 (*.f64 i 1/6) 1/2)) n)
(fma.f64 i (*.f64 n (+.f64 1/2 (*.f64 i 1/6))) n)
(fma.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6))) n)
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (+.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 1/24 (*.f64 n (pow.f64 i 3))))))
(fma.f64 1/6 (*.f64 n (*.f64 i i)) (+.f64 n (fma.f64 1/2 (*.f64 n i) (*.f64 1/24 (*.f64 n (pow.f64 i 3))))))
(+.f64 (fma.f64 1/6 (*.f64 n (*.f64 i i)) (fma.f64 1/2 (*.f64 n i) n)) (*.f64 (pow.f64 i 3) (*.f64 n 1/24)))
(fma.f64 n (*.f64 i (*.f64 i 1/6)) (fma.f64 n (*.f64 1/24 (pow.f64 i 3)) (fma.f64 n (*.f64 1/2 i) n)))
(fma.f64 (pow.f64 i 3) (*.f64 n 1/24) (fma.f64 i (*.f64 n (+.f64 (*.f64 i 1/6) 1/2)) n))
(+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 i (+.f64 1/6 (*.f64 i 1/24))) 1/2))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 100 n)
(*.f64 n 100)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(fma.f64 50 (*.f64 n i) (*.f64 n 100))
(fma.f64 n 100 (*.f64 n (*.f64 i 50)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 n (fma.f64 i 50 100))
(+.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 n 100)))
(fma.f64 (*.f64 n i) 50 (fma.f64 n 100 (*.f64 (*.f64 i i) (*.f64 n 50/3))))
(fma.f64 n (*.f64 (*.f64 50/3 i) i) (*.f64 n (+.f64 100 (*.f64 i 50))))
(*.f64 n (+.f64 (*.f64 i (+.f64 50 (*.f64 i 50/3))) 100))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(+.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 n 100))))
(fma.f64 (*.f64 n i) 50 (fma.f64 (*.f64 n (pow.f64 i 3)) 25/6 (fma.f64 n 100 (*.f64 (*.f64 i i) (*.f64 n 50/3)))))
(fma.f64 n (*.f64 (pow.f64 i 3) 25/6) (fma.f64 n (*.f64 (*.f64 50/3 i) i) (*.f64 n (+.f64 100 (*.f64 i 50)))))
(*.f64 n (+.f64 (fma.f64 i 50 100) (*.f64 (*.f64 i i) (+.f64 (*.f64 i 25/6) 50/3))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 (*.f64 n (expm1.f64 i)) i) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 100)
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i))
✓0.0b
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i)))
5.5b
(pow.f64 (+.f64 1 (/.f64 i n)) n)
✓13.5b
(-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i))
Compiler

Compiled 67 to 27 computations (59.7% saved)

series14.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite103.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
667×log-prod_binary64
508×fma-def_binary64
350×pow2_binary64
249×fma-neg_binary64
237×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01263
127057
2379153
Stop Event
1×node limit
Counts
3 → 194
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i))
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i)))
(*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (/.f64 (neg.f64 n) i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (*.f64 (/.f64 (neg.f64 n) i) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (fma.f64 (/.f64 (neg.f64 n) i) 1 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (fma.f64 (neg.f64 (/.f64 1 i)) n (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 n i))) (cbrt.f64 (pow.f64 (/.f64 n i) 2)) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (+.f64 (/.f64 (neg.f64 n) i) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 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(*.f64 n (log1p.f64 (/.f64 i n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 2) (cbrt.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (sqrt.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) 3) (pow.f64 (/.f64 n i) 3)) (/.f64 1 (fma.f64 (/.f64 n i) (*.f64 (/.f64 n i) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)) (pow.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) 2))))))) 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simplify141.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
796×distribute-rgt-in_binary64
781×distribute-lft-in_binary64
390×fma-def_binary64
210×+-commutative_binary64
181×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03174566
110834217
238913797
Stop Event
1×node limit
Counts
266 → 325
Calls
Call 1
Inputs
n
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 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 (*.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 (-.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) n) i)
(-.f64 (+.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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)) (/.f64 n i))
(-.f64 (+.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 (*.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 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))) (/.f64 n i))
(-.f64 (+.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 (*.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 (*.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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))) (/.f64 n i))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -1 n)) i))
(+.f64 (/.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 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -1 n)) i)))
(+.f64 (/.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 -1 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -1 n)) i)) (/.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 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 (/.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 -1 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -1 n)) i)) (/.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 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i)) (pow.f64 n 2))
(+.f64 (*.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 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i)) (pow.f64 n 2)))
(+.f64 (*.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 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i)) (pow.f64 n 2)) (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)) (/.f64 (log.f64 i) (pow.f64 i 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))))
(+.f64 (*.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 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))) (pow.f64 n 5)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i)) (pow.f64 n 2)) (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)) (/.f64 (log.f64 i) (pow.f64 i 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3))))))))
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(/.f64 n i)
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(/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)
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(/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)
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(/.f64 n i)
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(/.f64 (*.f64 n (exp.f64 i)) i)
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(/.f64 (*.f64 n (exp.f64 i)) i)
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(+.f64 (/.f64 (*.f64 n (exp.f64 i)) i) (+.f64 (*.f64 -1 (/.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 -1/2 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i)))))
Outputs
n
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
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(+.f64 (/.f64 n (/.f64 i (exp.f64 i))) (fma.f64 -1 (*.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)) (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (/.f64 (exp.f64 i) (/.f64 (*.f64 n i) (fma.f64 1/8 (pow.f64 i 4) (*.f64 1/3 (pow.f64 i 3))))))))
(+.f64 (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 (exp.f64 i) (*.f64 n i)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)))) (-.f64 (*.f64 (/.f64 n i) (exp.f64 i)) (*.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 (exp.f64 i) (+.f64 (*.f64 i -1/2) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (*.f64 n i)))) (*.f64 (exp.f64 i) (-.f64 (/.f64 n 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 (*.f64 n i))))))

eval1.4s (5.8%)

Compiler

Compiled 33900 to 16850 computations (50.3% saved)

prune274.0ms (1.1%)

Pruning

36 alts after pruning (32 fresh and 4 done)

PrunedKeptTotal
New1054211075
Fresh41115
Picked011
Done235
Total1060361096
Error
0b
Counts
1096 → 36
Alt Table
Click to see full alt table
StatusErrorProgram
43.0b
(*.f64 100 (sqrt.f64 (*.f64 n n)))
27.9b
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
16.0b
(/.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))
27.1b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
▶27.0b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
32.3b
(*.f64 100 (/.f64 (pow.f64 (cbrt.f64 i) 3) (/.f64 i n)))
29.4b
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n))))
▶55.3b
(*.f64 100 (/.f64 (-.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 1 (/.f64 i n)) n)) i) (*.f64 i n)) (*.f64 i i)))
49.5b
(/.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) i)
▶26.5b
(*.f64 100 (pow.f64 (/.f64 1 n) -1))
▶14.4b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
26.3b
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
26.9b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
49.8b
(*.f64 100 (-.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 i -1/2) (/.f64 n i))) (/.f64 n i)))
43.7b
(*.f64 100 (pow.f64 (sqrt.f64 n) 2))
20.5b
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
33.4b
(*.f64 (/.f64 n i) (*.f64 100 i))
27.2b
(*.f64 100 (pow.f64 (cbrt.f64 n) 3))
49.8b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
▶33.3b
(*.f64 100 (*.f64 (/.f64 n i) i))
✓49.7b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
15.4b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
29.9b
(*.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)))))))
31.8b
(*.f64 100 (/.f64 i (/.f64 i n)))
✓14.4b
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
62.4b
(*.f64 100 (-.f64 (*.f64 (+.f64 i (+.f64 1 (*.f64 i (*.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 n i)) (/.f64 n i)))
36.8b
(*.f64 100 (/.f64 (/.f64 (*.f64 (+.f64 i 2) i) (+.f64 i 2)) (/.f64 i n)))
✓49.8b
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i)))
51.4b
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
15.8b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
48.2b
(*.f64 n (*.f64 (-.f64 (/.f64 1 i) (/.f64 (exp.f64 i) i)) -100))
27.0b
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
✓26.5b
(*.f64 n 100)
36.9b
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 (+.f64 i 2) i))) (/.f64 i n)))
27.0b
(*.f64 100 (+.f64 n (*.f64 1/2 (*.f64 n i))))
33.1b
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n))))
Compiler

Compiled 986 to 699 computations (29.1% saved)

localize14.0ms (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))
9.9b
(*.f64 n (log1p.f64 (/.f64 i n)))
✓10.1b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
Compiler

Compiled 47 to 12 computations (74.5% saved)

series7.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite72.0ms (0.3%)

Algorithm
1×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
01034
121234
2290534
Stop Event
1×node limit
Counts
2 → 88
Calls
Call 1
Inputs
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 10000 (pow.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 2))) (*.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))) (cbrt.f64 (pow.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100))) 2)) (cbrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) (*.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 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(expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 2))) 1) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) 1) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) i) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 10000 (pow.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 2))) i) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (cbrt.f64 (pow.f64 (/.f64 i n) 2))) (/.f64 100 (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (cbrt.f64 (pow.f64 (/.f64 i n) 2))) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (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 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 10000 (pow.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 2))) (cbrt.f64 (pow.f64 (/.f64 i n) 2))) (cbrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) (cbrt.f64 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((#(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))))))

simplify80.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
820×associate-/l*_binary64
599×associate-/r*_binary64
427×fma-def_binary64
381×associate-*l/_binary64
242×associate-/r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03143009
110742805
242252637
Stop Event
1×node limit
Counts
136 → 170
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 (+.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 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 n (/.f64 (/.f64 i (-.f64 (log.f64 i) (log.f64 n))) n)))
(*.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 n (/.f64 (/.f64 i (-.f64 (log.f64 i) (log.f64 n))) 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))) (*.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 (*.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 n (/.f64 (/.f64 i (-.f64 (log.f64 i) (log.f64 n))) n)))))
(*.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 (-.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 (*.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 n (/.f64 (/.f64 i (-.f64 (log.f64 i) (log.f64 n))) n))))))
(*.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)))) (+.f64 (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) (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 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 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 (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(+.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 100 (*.f64 (/.f64 n i) (expm1.f64 i)) (*.f64 (exp.f64 i) (*.f64 i -50)))
(fma.f64 100 (*.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 1/3 (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 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i)) (/.f64 n (/.f64 i (expm1.f64 i))))))
(fma.f64 100 (fma.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 (exp.f64 i) (*.f64 i -50)))
(fma.f64 100 (fma.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 i (*.f64 (exp.f64 i) -50)))
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(+.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)))))))))
(fma.f64 100 (*.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))) (fma.f64 100 i (*.f64 100 (+.f64 (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))) (*.f64 (pow.f64 i 4) (+.f64 1/24 (-.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))))))))
(fma.f64 100 (*.f64 (pow.f64 i 3) (+.f64 1/6 (+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 -1/2 n)))) (*.f64 100 (+.f64 i (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (pow.f64 i 4) (+.f64 1/24 (-.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))))))))
(*.f64 100 (+.f64 (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (pow.f64 i 4) (+.f64 1/24 (+.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3))))))) (+.f64 (*.f64 (pow.f64 i 3) (+.f64 1/6 (+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 -1/2 n)))) i)))
(*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1))
(*.f64 100 (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))
(*.f64 100 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(+.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 100 (+.f64 (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))))
(*.f64 100 (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i (*.f64 n n)))))
(*.f64 100 (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (/.f64 (*.f64 n n) i) (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))))))
(+.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))))
(fma.f64 100 (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) (*.f64 100 (+.f64 (/.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (*.f64 i i) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))))) (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))))))
(*.f64 100 (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i (*.f64 n n))) (*.f64 (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) i)))))
(*.f64 100 (+.f64 (+.f64 (*.f64 (/.f64 (*.f64 n n) i) (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)))) (*.f64 (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) i) (/.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) i))) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))))
(+.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))))))
(fma.f64 100 (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) (fma.f64 100 (/.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (*.f64 i i) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))))) (*.f64 100 (+.f64 (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (pow.f64 i 3) (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 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 100 (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (/.f64 i (*.f64 n n))) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (pow.f64 i 3)) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 (pow.f64 n 5) -1/2 (*.f64 (pow.f64 n 4) 1/3))))) (*.f64 (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) i)))))
(*.f64 100 (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) i) (/.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) i)) (+.f64 (*.f64 (/.f64 (*.f64 n n) i) (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)))) (*.f64 (/.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (pow.f64 i 3)) (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 (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 n n) (/.f64 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 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (*.f64 (/.f64 (*.f64 n n) i) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))))
(*.f64 100 (+.f64 (*.f64 (+.f64 (/.f64 (*.f64 n n) i) 1) (*.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 (*.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 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (*.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)))))) (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))))
(*.f64 100 (+.f64 (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (*.f64 (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (*.f64 (/.f64 (*.f64 n n) i) (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)) (pow.f64 (/.f64 -1 n) n)) (+.f64 (/.f64 (*.f64 n n) i) (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) (*.f64 i 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 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 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)))))) (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))))))
(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 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (*.f64 (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) (*.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 (*.f64 100 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) (+.f64 (/.f64 (*.f64 n n) i) (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) (*.f64 i i)))) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) -100) (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))))))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 100 (*.f64 (/.f64 n i) i))
✓16.2b
(*.f64 (/.f64 n i) i)
Compiler

Compiled 20 to 7 computations (65% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite55.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
783×pow1_binary64
729×add-log-exp_binary64
729×log1p-expm1-u_binary64
729×expm1-log1p-u_binary64
714×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115017
2194317
Stop Event
1×node limit
Counts
2 → 36
Calls
Call 1
Inputs
(*.f64 (/.f64 n i) i)
(*.f64 100 (*.f64 (/.f64 n i) i))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 i (/.f64 n i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 n (/.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 i (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 i (*.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n i) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 n i)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n i) 1) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n i) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n i) (sqrt.f64 i)) (sqrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) i) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 i (neg.f64 n)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i (/.f64 n i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 i (/.f64 n i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 i (/.f64 n i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 i (/.f64 n i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 i (/.f64 n i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 n i)) i))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 i (/.f64 n i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 i 3) (pow.f64 (/.f64 n i) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 n i) 3) (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 i (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 i (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 i (/.f64 n i))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 i (*.f64 (/.f64 n i) 100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n i) 100) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (*.f64 n i)) i)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i (*.f64 (/.f64 n i) 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 i (*.f64 (/.f64 n i) 100)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 i (*.f64 (/.f64 n i) 100))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10 (sqrt.f64 (*.f64 i (/.f64 n i)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 10000 (pow.f64 (*.f64 i (/.f64 n i)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) (*.f64 i (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 i (*.f64 (/.f64 n i) 100)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 i (*.f64 (/.f64 n i) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 i (*.f64 (/.f64 n i) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 i (*.f64 (/.f64 n i) 100))))))))

simplify8.0ms (0%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04120
15120
Stop Event
1×saturated
Counts
84 → 39
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)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))
✓0.0b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
✓0.1b
(*.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 70 to 52 computations (25.7% saved)

series17.0ms (0.1%)

Counts
4 → 51
Calls

21 calls:

TimeVariablePointExpression
5.0ms
n
@inf
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
3.0ms
n
@0
(*.f64 n (*.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
@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)))))

rewrite86.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
710×log-prod_binary64
394×fma-def_binary64
366×pow2_binary64
253×pow1/3_binary64
252×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01349
129647
2399347
Stop Event
1×node limit
Counts
4 → 154
Calls
Call 1
Inputs
(*.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 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 (/.f64 -1/2 n) (*.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 n i) 1/2) (*.f64 (*.f64 n i) (/.f64 -1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 n i)) (+.f64 1/2 (/.f64 -1/2 n)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 n i)) (+.f64 1/2 (/.f64 -1/2 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 n i)) (+.f64 1/2 (/.f64 -1/2 n))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 n i)) (+.f64 1/2 (/.f64 -1/2 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n i) (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3)))) (+.f64 1/4 (fma.f64 (pow.f64 n -2) 1/4 (/.f64 1/4 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n i) (-.f64 1/4 (*.f64 (pow.f64 n -2) 1/4))) (+.f64 1/2 (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 n i)) (+.f64 1/2 (/.f64 -1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 n i) (*.f64 (/.f64 -1/2 n) (*.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 n i) 1/2 (*.f64 (*.f64 n i) (/.f64 -1/2 n)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 i) (*.f64 (/.f64 -1/2 n) i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 i 1/2) (*.f64 i (/.f64 -1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 (/.f64 -1/2 n))) i)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 (/.f64 -1/2 n))) i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 (/.f64 -1/2 n))) i))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 (/.f64 -1/2 n))) i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3))) i) (+.f64 1/4 (fma.f64 (pow.f64 n -2) 1/4 (/.f64 1/4 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 n -2) 1/4)) i) (+.f64 1/2 (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 i (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3)))) (+.f64 1/4 (fma.f64 (pow.f64 n -2) 1/4 (/.f64 1/4 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 i (-.f64 1/4 (*.f64 (pow.f64 n -2) 1/4))) (+.f64 1/2 (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 i 3) (pow.f64 (+.f64 1/2 (/.f64 -1/2 n)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 n)) 3) (pow.f64 i 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1/2 (/.f64 -1/2 n))) i))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 i 3) (pow.f64 (+.f64 1/2 (/.f64 -1/2 n)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 n)) 3) (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 i 1/2 (*.f64 i (/.f64 -1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 i (*.f64 (/.f64 -1/2 n) i))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 100 (fma.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n 100) (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 n 100) 1) (*.f64 (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (fma.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n) n))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (fma.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (fma.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n) n)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (fma.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 100 (fma.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n) n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 n 100) 3) (pow.f64 (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100) 3)) (+.f64 (pow.f64 (*.f64 n 100) 2) (-.f64 (pow.f64 (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100) 2) (*.f64 (*.f64 n 100) (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 n 100) 2) (pow.f64 (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100) 2)) (-.f64 (*.f64 n 100) (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 n 3) (pow.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 3)) 100) (fma.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) (fma.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i) (neg.f64 n)) (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 n n) (pow.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 2)) 100) (-.f64 n (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (+.f64 (pow.f64 n 3) (pow.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 3))) (fma.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) (fma.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i) (neg.f64 n)) (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (-.f64 (*.f64 n n) (pow.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 2))) (-.f64 n (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (fma.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (fma.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n) n)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (fma.f64 i 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simplify69.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
671×fma-neg_binary64
504×unsub-neg_binary64
474×fma-def_binary64
336×distribute-rgt-neg-out_binary64
311×associate-/l*_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
036609
193560
2225533
3700513
42184465
55270457
Stop Event
1×node limit
Counts
205 → 180
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 -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 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i))))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1)))
(+.f64 (*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))) (*.f64 -50 i))
(+.f64 (*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))) (*.f64 -50 i))
(+.f64 (*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))) (*.f64 -50 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 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.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 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)))))))
(/.f64 -1/2 n)
1/2
1/2
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 -1/2 (/.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 (*.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 (*.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 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 (*.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 (*.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 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 (*.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 (*.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 -50 i)
(*.f64 i -50)
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 100 (*.f64 n (fma.f64 i 1/2 1))))
(fma.f64 n (*.f64 100 (fma.f64 i 1/2 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 100 (*.f64 n (fma.f64 i 1/2 1))))
(fma.f64 n (*.f64 100 (fma.f64 i 1/2 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 100 (*.f64 n (fma.f64 i 1/2 1))))
(fma.f64 n (*.f64 100 (fma.f64 i 1/2 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i))))
(*.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)))
(*.f64 100 (*.f64 n (fma.f64 i 1/2 1)))
(*.f64 n (*.f64 100 (fma.f64 i 1/2 1)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 n (fma.f64 i 50 100))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 100 (*.f64 n (fma.f64 i 1/2 1))))
(fma.f64 n (*.f64 100 (fma.f64 i 1/2 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 100 (*.f64 n (fma.f64 i 1/2 1))))
(fma.f64 n (*.f64 100 (fma.f64 i 1/2 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 100 (*.f64 n (fma.f64 i 1/2 1))))
(fma.f64 n (*.f64 100 (fma.f64 i 1/2 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1)))
(*.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)))
(*.f64 100 (*.f64 n (fma.f64 i 1/2 1)))
(*.f64 n (*.f64 100 (fma.f64 i 1/2 1)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 n (fma.f64 i 50 100))
(+.f64 (*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))) (*.f64 -50 i))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 100 (*.f64 n (fma.f64 i 1/2 1))))
(fma.f64 n (*.f64 100 (fma.f64 i 1/2 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))) (*.f64 -50 i))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 100 (*.f64 n (fma.f64 i 1/2 1))))
(fma.f64 n (*.f64 100 (fma.f64 i 1/2 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(+.f64 (*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))) (*.f64 -50 i))
(fma.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 100 (*.f64 n (fma.f64 i 1/2 1))))
(fma.f64 n (*.f64 100 (fma.f64 i 1/2 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(*.f64 100 n)
(*.f64 n 100)
(+.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 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 100 (*.f64 n (fma.f64 i 1/2 1))))
(fma.f64 n (*.f64 100 (fma.f64 i 1/2 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) 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 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 100 (*.f64 n (fma.f64 i 1/2 1))))
(fma.f64 n (*.f64 100 (fma.f64 i 1/2 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) 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 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 100 (*.f64 n (fma.f64 i 1/2 1))))
(fma.f64 n (*.f64 100 (fma.f64 i 1/2 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 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))))))
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))))
(*.f64 (*.f64 i n) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) 100))
(*.f64 (*.f64 i n) (*.f64 100 (+.f64 1/2 (/.f64 -1/2 n))))
(*.f64 i (*.f64 n (+.f64 50 (*.f64 (/.f64 -1/2 n) 100))))
(*.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 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 100 (*.f64 n (fma.f64 i 1/2 1))))
(fma.f64 n (*.f64 100 (fma.f64 i 1/2 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 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 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 100 (*.f64 n (fma.f64 i 1/2 1))))
(fma.f64 n (*.f64 100 (fma.f64 i 1/2 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 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 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 100 (*.f64 n (fma.f64 i 1/2 1))))
(fma.f64 n (*.f64 100 (fma.f64 i 1/2 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 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))))))
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))))
(*.f64 (*.f64 i n) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) 100))
(*.f64 (*.f64 i n) (*.f64 100 (+.f64 1/2 (/.f64 -1/2 n))))
(*.f64 i (*.f64 n (+.f64 50 (*.f64 (/.f64 -1/2 n) 100))))
(*.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 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 100 (*.f64 n (fma.f64 i 1/2 1))))
(fma.f64 n (*.f64 100 (fma.f64 i 1/2 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 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 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 100 (*.f64 n (fma.f64 i 1/2 1))))
(fma.f64 n (*.f64 100 (fma.f64 i 1/2 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 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 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 100 (*.f64 n (fma.f64 i 1/2 1))))
(fma.f64 n (*.f64 100 (fma.f64 i 1/2 1)) (*.f64 i -50))
(fma.f64 i -50 (*.f64 n (+.f64 100 (*.f64 i 50))))
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n))
(/.f64 -1/2 n)
1/2
1/2

localize11.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 100 (pow.f64 (/.f64 1 n) -1))
✓0.2b
(pow.f64 (/.f64 1 n) -1)
Compiler

Compiled 21 to 17 computations (19% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite54.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
563×pow1_binary64
530×add-log-exp_binary64
528×log1p-expm1-u_binary64
528×expm1-log1p-u_binary64
519×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
11615
217395
Stop Event
1×node limit
Counts
2 → 35
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 n) -1)
(*.f64 100 (pow.f64 (/.f64 1 n) -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 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 (sqrt.f64 n) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 n -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 n -1/2) -1) (pow.f64 (pow.f64 n -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 n 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 1 (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 n) (pow.f64 n -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 n -2))) (/.f64 1 (cbrt.f64 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 . 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 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 (*.f64 n n) 10000))))) (#(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)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 n 100)))))))

simplify8.0ms (0%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0460
1560
Stop Event
1×saturated
Counts
59 → 38
Calls
Call 1
Inputs
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)
Outputs
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)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 100 (/.f64 (-.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 1 (/.f64 i n)) n)) i) (*.f64 i n)) (*.f64 i i)))
✓5.4b
(-.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 1 (/.f64 i n)) n)) i) (*.f64 i n))
5.5b
(pow.f64 (+.f64 1 (/.f64 i n)) n)
✓25.7b
(/.f64 (-.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 1 (/.f64 i n)) n)) i) (*.f64 i n)) (*.f64 i i))
Compiler

Compiled 102 to 43 computations (57.8% saved)

series15.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite126.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
743×fma-def_binary64
371×fma-neg_binary64
302×expm1-udef_binary64
302×log1p-udef_binary64
255×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01581
134872
2510272
Stop Event
1×node limit
Counts
3 → 288
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 1 (/.f64 i n)) n)) i) (*.f64 i n)) (*.f64 i i))
(-.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 1 (/.f64 i n)) n)) i) (*.f64 i n))
(*.f64 100 (/.f64 (-.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 1 (/.f64 i n)) n)) i) (*.f64 i n)) (*.f64 i i)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 n (*.f64 i (pow.f64 (+.f64 1 (/.f64 i n)) n))) (pow.f64 i -2)) (neg.f64 (*.f64 (/.f64 n i) (/.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 n (*.f64 i (pow.f64 (+.f64 1 (/.f64 i n)) n))) (pow.f64 i -2)) (*.f64 (/.f64 n i) (/.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 n (fma.f64 i (pow.f64 (+.f64 1 (/.f64 i n)) n) (neg.f64 i))) (pow.f64 i -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 n (fma.f64 i (pow.f64 (+.f64 1 (/.f64 i n)) n) (neg.f64 i))) (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (fma.f64 i (pow.f64 (+.f64 1 (/.f64 i n)) n) (neg.f64 i))) (pow.f64 i -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 n (fma.f64 i (pow.f64 (+.f64 1 (/.f64 i n)) n) (neg.f64 i))) (pow.f64 i -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 n (fma.f64 i (pow.f64 (+.f64 1 (/.f64 i n)) n) (neg.f64 i)))) 2) (*.f64 (cbrt.f64 (*.f64 n (fma.f64 i (pow.f64 (+.f64 1 (/.f64 i n)) n) (neg.f64 i)))) (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 n (fma.f64 i (pow.f64 (+.f64 1 (/.f64 i n)) n) (neg.f64 i))) (pow.f64 i -2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 n (fma.f64 i (pow.f64 (+.f64 1 (/.f64 i n)) n) (neg.f64 i))) (pow.f64 i -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 n (fma.f64 i (pow.f64 (+.f64 1 (/.f64 i n)) n) (neg.f64 i))) (pow.f64 i -2)) 2)) (cbrt.f64 (*.f64 (*.f64 n (fma.f64 i (pow.f64 (+.f64 1 (/.f64 i n)) n) (neg.f64 i))) (pow.f64 i -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 n (fma.f64 i (pow.f64 (+.f64 1 (/.f64 i n)) n) (neg.f64 i)))) (*.f64 (sqrt.f64 (*.f64 n (fma.f64 i (pow.f64 (+.f64 1 (/.f64 i n)) n) (neg.f64 i)))) (pow.f64 i -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 n 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simplify117.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
473×fma-def_binary64
271×distribute-rgt-neg-out_binary64
254×distribute-lft-neg-out_binary64
244×+-commutative_binary64
241×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03754846
112984455
248074184
Stop Event
1×node limit
Counts
360 → 425
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)
(+.f64 (*.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 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(+.f64 (*.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 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i) (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)) (/.f64 (log.f64 i) (pow.f64 i 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))))
(+.f64 (*.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 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i) (+.f64 (*.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 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)) (/.f64 (log.f64 i) (pow.f64 i 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3))))))))
(/.f64 (*.f64 n (-.f64 (*.f64 i (exp.f64 i)) i)) (pow.f64 i 2))
(+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 i (exp.f64 i)) i)) (pow.f64 i 2)) (*.f64 -1/2 (*.f64 i (exp.f64 i))))
(+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 i (exp.f64 i)) i)) (pow.f64 i 2)) (+.f64 (*.f64 -1/2 (*.f64 i (exp.f64 i))) (/.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 (*.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 (*.f64 n (-.f64 (*.f64 i (exp.f64 i)) i)) (pow.f64 i 2)) (+.f64 (*.f64 -1/2 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i)))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 i (exp.f64 i))) (*.f64 -1 i)) n) (pow.f64 i 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 i (exp.f64 i))) (*.f64 -1 i)) n) (pow.f64 i 2))) (*.f64 -1/2 (*.f64 i (exp.f64 i))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4))) (exp.f64 i)) (*.f64 n i)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 i (exp.f64 i))) (*.f64 -1 i)) n) (pow.f64 i 2))) (*.f64 -1/2 (*.f64 i (exp.f64 i)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 i (exp.f64 i))) (*.f64 -1 i)) n) (pow.f64 i 2))) (+.f64 (*.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))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i)) (*.f64 -1/2 (*.f64 i (exp.f64 i))))))
n
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 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 (*.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 (-.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) n) i)
(-.f64 (+.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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)) (/.f64 n i))
(-.f64 (+.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 (*.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 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))) (/.f64 n i))
(-.f64 (+.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 (*.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 (*.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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))) (/.f64 n 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 -100 (/.f64 (-.f64 (*.f64 -1 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -1 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 (*.f64 -1 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -1 n)) i)) (*.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 (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 (*.f64 -1 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -1 n)) i)) (+.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))))))
Outputs
(/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)
(/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i))))
(*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))
(+.f64 (*.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 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(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)))))
(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 (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 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i) (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)) (/.f64 (log.f64 i) (pow.f64 i 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))))
(+.f64 (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 (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)))))
(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)))))
(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 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))))
(+.f64 (*.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 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i) (+.f64 (*.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 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)) (/.f64 (log.f64 i) (pow.f64 i 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3))))))))
(+.f64 (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))))) (fma.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 (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 (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)))) (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) (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 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 (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)))) (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) (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 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 (*.f64 i (exp.f64 i)) i)) (pow.f64 i 2))
(/.f64 n (/.f64 (*.f64 i i) (fma.f64 i (exp.f64 i) (neg.f64 i))))
(/.f64 (fma.f64 i (exp.f64 i) (neg.f64 i)) (/.f64 i (/.f64 n i)))
(*.f64 (/.f64 (*.f64 i (-.f64 (exp.f64 i) 1)) (*.f64 i i)) n)
(+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 i (exp.f64 i)) i)) (pow.f64 i 2)) (*.f64 -1/2 (*.f64 i (exp.f64 i))))
(+.f64 (/.f64 n (/.f64 (*.f64 i i) (fma.f64 i (exp.f64 i) (neg.f64 i)))) (*.f64 -1/2 (*.f64 i (exp.f64 i))))
(fma.f64 -1/2 (*.f64 i (exp.f64 i)) (/.f64 (fma.f64 i (exp.f64 i) (neg.f64 i)) (/.f64 i (/.f64 n i))))
(fma.f64 i (*.f64 (exp.f64 i) -1/2) (*.f64 (/.f64 (*.f64 i (-.f64 (exp.f64 i) 1)) (*.f64 i i)) n))
(+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 i (exp.f64 i)) i)) (pow.f64 i 2)) (+.f64 (*.f64 -1/2 (*.f64 i (exp.f64 i))) (/.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 n (/.f64 (*.f64 i i) (fma.f64 i (exp.f64 i) (neg.f64 i)))) (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (/.f64 (fma.f64 i (exp.f64 i) (neg.f64 i)) (/.f64 i (/.f64 n i)))))
(+.f64 (*.f64 (/.f64 (*.f64 i (-.f64 (exp.f64 i) 1)) (*.f64 i i)) n) (*.f64 (exp.f64 i) (+.f64 (*.f64 i -1/2) (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) (*.f64 n i)))))
(+.f64 (/.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 (*.f64 n (-.f64 (*.f64 i (exp.f64 i)) i)) (pow.f64 i 2)) (+.f64 (*.f64 -1/2 (*.f64 i (exp.f64 i))) (/.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 (*.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 n (/.f64 (*.f64 i i) (fma.f64 i (exp.f64 i) (neg.f64 i))))) (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i))))
(fma.f64 (/.f64 (fma.f64 -1/48 (pow.f64 i 6) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/6 (pow.f64 i 5)))) (*.f64 n n)) (/.f64 (exp.f64 i) i) (fma.f64 (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (/.f64 (fma.f64 i (exp.f64 i) (neg.f64 i)) (/.f64 i (/.f64 n i))))))
(+.f64 (fma.f64 i (*.f64 (exp.f64 i) -1/2) (*.f64 (/.f64 (*.f64 i (-.f64 (exp.f64 i) 1)) (*.f64 i i)) n)) (*.f64 (/.f64 (exp.f64 i) i) (+.f64 (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (fma.f64 -1/48 (pow.f64 i 6) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/6 (pow.f64 i 5)))) (*.f64 n n)))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 i (exp.f64 i))) (*.f64 -1 i)) n) (pow.f64 i 2)))
(/.f64 n (/.f64 (*.f64 i i) (fma.f64 i (exp.f64 i) (neg.f64 i))))
(/.f64 (fma.f64 i (exp.f64 i) (neg.f64 i)) (/.f64 i (/.f64 n i)))
(*.f64 (/.f64 (*.f64 i (-.f64 (exp.f64 i) 1)) (*.f64 i i)) n)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 i (exp.f64 i))) (*.f64 -1 i)) n) (pow.f64 i 2))) (*.f64 -1/2 (*.f64 i (exp.f64 i))))
(+.f64 (/.f64 n (/.f64 (*.f64 i i) (fma.f64 i (exp.f64 i) (neg.f64 i)))) (*.f64 -1/2 (*.f64 i (exp.f64 i))))
(fma.f64 -1/2 (*.f64 i (exp.f64 i)) (/.f64 (fma.f64 i (exp.f64 i) (neg.f64 i)) (/.f64 i (/.f64 n i))))
(fma.f64 i (*.f64 (exp.f64 i) -1/2) (*.f64 (/.f64 (*.f64 i (-.f64 (exp.f64 i) 1)) (*.f64 i i)) n))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4))) (exp.f64 i)) (*.f64 n i)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 i (exp.f64 i))) (*.f64 -1 i)) n) (pow.f64 i 2))) (*.f64 -1/2 (*.f64 i (exp.f64 i)))))
(+.f64 (/.f64 n (/.f64 (*.f64 i i) (fma.f64 i (exp.f64 i) (neg.f64 i)))) (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (/.f64 (fma.f64 i (exp.f64 i) (neg.f64 i)) (/.f64 i (/.f64 n i)))))
(+.f64 (*.f64 (/.f64 (*.f64 i (-.f64 (exp.f64 i) 1)) (*.f64 i i)) n) (*.f64 (exp.f64 i) (+.f64 (*.f64 i -1/2) (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) (*.f64 n i)))))
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(fma.f64 -1 (/.f64 (*.f64 -1 (fma.f64 i (exp.f64 i) (neg.f64 i))) (/.f64 (*.f64 i i) n)) (fma.f64 -1 (*.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 (pow.f64 i 4) 1/4))) i)) (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i)))))
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(+.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 i -1/2) (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) (*.f64 n i)))) (-.f64 (*.f64 (/.f64 (*.f64 i (-.f64 (exp.f64 i) 1)) (*.f64 i i)) n) (*.f64 (/.f64 (exp.f64 i) (*.f64 n (*.f64 n i))) (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 (pow.f64 i 4) 1/4 (*.f64 1/6 (pow.f64 i 5)))))))
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 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n)
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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 -100 (/.f64 (-.f64 (*.f64 -1 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -1 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)))))) (*.f64 (/.f64 (*.f64 -1 (-.f64 (*.f64 n (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))) n)) i) -100))
(fma.f64 (/.f64 (fma.f64 (neg.f64 n) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) n) i) -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))))) 100))
(fma.f64 (/.f64 (fma.f64 n (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (neg.f64 (pow.f64 (/.f64 -1 n) n))) n) i) -100 (*.f64 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n))) 100))
(+.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 (*.f64 -1 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -1 n)) i)) (*.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 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 -1 (-.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 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))))))) 100)))
(fma.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))))) 100 (fma.f64 (/.f64 (fma.f64 (neg.f64 n) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) n) i) -100 (*.f64 (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (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)))))) 100)))
(+.f64 (*.f64 (/.f64 -100 i) (fma.f64 n (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (neg.f64 (pow.f64 (/.f64 -1 n) n))) n)) (*.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 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4)))) (*.f64 i 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 (*.f64 -1 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -1 n)) i)) (+.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 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 -1 (-.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 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 (/.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 -1/6 (pow.f64 n 6))))) (pow.f64 i 4)) -100))))
(fma.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))))) 100 (fma.f64 (/.f64 (fma.f64 (neg.f64 n) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) n) i) -100 (fma.f64 (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (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)))))) 100 (/.f64 -100 (/.f64 (pow.f64 i 4) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (*.f64 (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6)))) n)))))))
(+.f64 (+.f64 (*.f64 (/.f64 -100 i) (fma.f64 n (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (neg.f64 (pow.f64 (/.f64 -1 n) n))) n)) (*.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 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4)))) (*.f64 i i)))))) (*.f64 (/.f64 -100 (pow.f64 i 4)) (*.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) (*.f64 (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6)))) n))))

eval469.0ms (1.9%)

Compiler

Compiled 30627 to 16874 computations (44.9% saved)

prune183.0ms (0.8%)

Pruning

40 alts after pruning (34 fresh and 6 done)

PrunedKeptTotal
New1005181023
Fresh111627
Picked011
Done358
Total1019401059
Error
0b
Counts
1059 → 40
Alt Table
Click to see full alt table
StatusErrorProgram
26.5b
(*.f64 100 (/.f64 1 (/.f64 1 n)))
26.7b
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
29.3b
(*.f64 100 (/.f64 (*.f64 n i) i))
27.1b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
26.6b
(/.f64 100 (/.f64 1 n))
▶16.0b
(/.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))
✓55.3b
(*.f64 100 (/.f64 (-.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 1 (/.f64 i n)) n)) i) (*.f64 i n)) (*.f64 i i)))
25.8b
(-.f64 (+.f64 1 (*.f64 n 100)) 1)
32.3b
(*.f64 100 (/.f64 (pow.f64 (cbrt.f64 i) 3) (/.f64 i n)))
▶31.8b
(/.f64 (*.f64 100 i) (/.f64 i n))
62.7b
(*.f64 100 (/.f64 (-.f64 (*.f64 (*.f64 n (+.f64 i (+.f64 1 (*.f64 i (*.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))))))) i) (*.f64 i n)) (*.f64 i i)))
49.5b
(/.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) i)
✓14.4b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
26.9b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
49.8b
(*.f64 100 (-.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 i -1/2) (/.f64 n i))) (/.f64 n i)))
26.9b
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
33.4b
(*.f64 (/.f64 n i) (*.f64 100 i))
▶61.9b
(*.f64 i -50)
49.8b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
✓49.7b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
27.0b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i 1/2))))
49.8b
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
33.1b
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n))))
▶15.4b
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)) n)
29.9b
(*.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)))))))
17.0b
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))
✓14.4b
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
43.0b
(*.f64 100 (sqrt.f64 (*.f64 n n)))
62.4b
(*.f64 100 (-.f64 (*.f64 (+.f64 i (+.f64 1 (*.f64 i (*.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 n i)) (/.f64 n i)))
25.9b
(*.f64 100 (-.f64 (+.f64 1 n) 1))
26.3b
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
✓49.8b
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i)))
51.4b
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
15.8b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
✓26.5b
(*.f64 n 100)
▶36.9b
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 (+.f64 i 2) i))) (/.f64 i n)))
29.4b
(/.f64 (*.f64 (*.f64 n i) 100) i)
27.1b
(pow.f64 (cbrt.f64 (*.f64 n 100)) 3)
27.9b
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
48.2b
(*.f64 n (*.f64 (-.f64 (/.f64 1 i) (/.f64 (exp.f64 i) i)) -100))
Compiler

Compiled 1058 to 750 computations (29.1% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)) n)
✓0.2b
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100))
5.3b
(log1p.f64 (/.f64 i n))
9.9b
(*.f64 n (log1p.f64 (/.f64 i n)))
Compiler

Compiled 52 to 16 computations (69.2% saved)

series8.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite71.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
650×log-prod_binary64
385×pow-prod-down_binary64
303×pow2_binary64
244×pow-unpow_binary64
224×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01137
123937
2322437
Stop Event
1×node limit
Counts
2 → 76
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100))
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)) n)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 100 i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 100 i))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 100 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 100 i)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 100 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 100 i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 i 1/100)) (/.f64 100 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 100 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 (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 100 i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 100 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 100 i))) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 100 i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 100 i))) 2) (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 100 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 2) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 100 i)))))) 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simplify81.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
891×associate-/l*_binary64
688×associate-/r*_binary64
446×associate-*l/_binary64
358×fma-def_binary64
260×associate-/r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02883125
19962912
239342751
Stop Event
1×node limit
Counts
124 → 158
Calls
Call 1
Inputs
(*.f64 100 (/.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (*.f64 (pow.f64 n 2) (+.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 3) (-.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 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (*.f64 (pow.f64 n 2) (+.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 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 (*.f64 100 (*.f64 (pow.f64 n 3) (-.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 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (*.f64 (pow.f64 n 2) (+.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 (exp.f64 i) 1) i))
(+.f64 (*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) (*.f64 -50 (/.f64 (*.f64 i (exp.f64 i)) n)))
(+.f64 (*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) 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 (pow.f64 n 2) i))) (*.f64 -50 (/.f64 (*.f64 i (exp.f64 i)) n))))
(+.f64 (*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) 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 (pow.f64 n 2) i))) (+.f64 (*.f64 -50 (/.f64 (*.f64 i (exp.f64 i)) n)) (*.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 3) i))))))
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i))
(+.f64 (*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) (*.f64 -50 (/.f64 (*.f64 i (exp.f64 i)) n)))
(+.f64 (*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) 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 (pow.f64 n 2) i))) (*.f64 -50 (/.f64 (*.f64 i (exp.f64 i)) n))))
(+.f64 (*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) 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 (pow.f64 n 2) i))) (+.f64 (*.f64 -50 (/.f64 (*.f64 i (exp.f64 i)) n)) (*.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 3) i))))))
100
(+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 100 (+.f64 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.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 (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 100 (+.f64 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.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 100 (/.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) i))
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(+.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)))))) (pow.f64 i 2))) (+.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 3))) (*.f64 100 (/.f64 (-.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 2) (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 (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 4))) (+.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 3))) (*.f64 100 (/.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) i)))))
(*.f64 100 (/.f64 (-.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 (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) (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 (+.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 (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) (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 (+.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 (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 2) (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 (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 (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)))))
Outputs
(*.f64 100 (/.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(/.f64 (*.f64 100 (*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)))) i)
(*.f64 100 (*.f64 (/.f64 n i) (-.f64 (log.f64 i) (log.f64 n))))
(+.f64 (*.f64 100 (/.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (*.f64 (pow.f64 n 2) (+.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 n (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (*.f64 (*.f64 n n) (+.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 i) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 n (*.f64 n (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 (*.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 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)))))))
(fma.f64 100 (*.f64 (pow.f64 n 3) (-.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 n (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (*.f64 (*.f64 n n) (+.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 (/.f64 n i) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 n (*.f64 n (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i)))))) (*.f64 (pow.f64 n 3) (+.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 100 (+.f64 (+.f64 (*.f64 (/.f64 n i) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 n (*.f64 n (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i)))))) (*.f64 (pow.f64 n 3) (+.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 100 (*.f64 (pow.f64 n 4) (+.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 (*.f64 100 (*.f64 (pow.f64 n 3) (-.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 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))))))
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100
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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 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 (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 (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 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) (*.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 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) (/.f64 (*.f64 i i) 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 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 (*.f64 100 (*.f64 n (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) i))))
(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)) (fma.f64 100 (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (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 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) (*.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 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) (/.f64 (*.f64 i i) n)))))) (*.f64 -100 (/.f64 n (/.f64 (/.f64 (pow.f64 i 4) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 -1/6 (pow.f64 n 6) (*.f64 1/2 (pow.f64 n 5))))) (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n))))))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓15.2b
(/.f64 (*.f64 100 i) (/.f64 i n))
Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite56.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
927×pow1_binary64
872×add-log-exp_binary64
872×log1p-expm1-u_binary64
872×expm1-log1p-u_binary64
854×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115610
2228510
Stop Event
1×node limit
Counts
1 → 53
Calls
Call 1
Inputs
(/.f64 (*.f64 100 i) (/.f64 i n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 100 (*.f64 i (/.f64 n i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 i (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 1 (/.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 i (*.f64 100 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 i) (/.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 n i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 100 (*.f64 i (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 100 (*.f64 i (/.f64 n i)))) (pow.f64 (cbrt.f64 (*.f64 100 (*.f64 i (/.f64 n i)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 100 (*.f64 i (/.f64 n i)))) 2) (cbrt.f64 (*.f64 100 (*.f64 i (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 100 i)) 2) (*.f64 (cbrt.f64 (*.f64 100 i)) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 100 (*.f64 i (/.f64 n i)))) (sqrt.f64 (*.f64 100 (*.f64 i (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 i) 10) (*.f64 (*.f64 (sqrt.f64 i) 10) (/.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 100 i))))) (#(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 i i) (/.f64 100 (/.f64 1 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 (pow.f64 (cbrt.f64 (*.f64 100 i)) 2) 1) (/.f64 (cbrt.f64 (*.f64 100 i)) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 i) 10) 1) (/.f64 (*.f64 (sqrt.f64 i) 10) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 i) 10) i) (/.f64 (*.f64 (sqrt.f64 i) 10) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (/.f64 (*.f64 100 i) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 100 i)) 2) i) (/.f64 (cbrt.f64 (*.f64 100 i)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (/.f64 i n)) i)))) (#(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 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 1 (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 (*.f64 100 i) (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 100 i)) 2) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 (*.f64 100 (*.f64 i (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 i) 10) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 (*.f64 (sqrt.f64 i) 10) (cbrt.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 i (sqrt.f64 (/.f64 i n))) (/.f64 100 (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 i n))) (/.f64 (*.f64 100 i) (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 100 i)) 2) (sqrt.f64 (/.f64 i n))) (/.f64 (cbrt.f64 (*.f64 100 i)) (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 100 i) 1) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 100 i) (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 n i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (*.f64 i (/.f64 n i))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 (*.f64 i (/.f64 n i)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 100 (*.f64 i (/.f64 n i)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/100 (/.f64 i (*.f64 i n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 100 i) (/.f64 (neg.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 100 (*.f64 i (/.f64 n i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 100) i) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 (*.f64 i (/.f64 n i))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 100 i) 3) (pow.f64 (/.f64 i n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (*.f64 i (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (*.f64 i (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (*.f64 i (/.f64 n i)))))))))

simplify8.0ms (0%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0496
1596
Stop Event
1×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)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 i 2) i)
✓0.2b
(/.f64 1 (/.f64 (+.f64 i 2) (*.f64 (+.f64 i 2) i)))
✓12.0b
(/.f64 (+.f64 i 2) (*.f64 (+.f64 i 2) i))
✓15.1b
(/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 (+.f64 i 2) i))) (/.f64 i n))
Compiler

Compiled 70 to 45 computations (35.7% saved)

series5.0ms (0%)

Counts
4 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
i
@-inf
(*.f64 (+.f64 i 2) i)
0.0ms
i
@inf
(*.f64 (+.f64 i 2) i)
0.0ms
i
@0
(*.f64 (+.f64 i 2) i)
0.0ms
i
@-inf
(/.f64 1 (/.f64 (+.f64 i 2) (*.f64 (+.f64 i 2) i)))
0.0ms
i
@-inf
(/.f64 (+.f64 i 2) (*.f64 (+.f64 i 2) i))

rewrite80.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
665×log-prod_binary64
298×pow2_binary64
260×log-div_binary64
211×pow1/3_binary64
203×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01158
125519
2408519
Stop Event
1×node limit
Counts
4 → 196
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 (+.f64 i 2) i))) (/.f64 i n))
(/.f64 (+.f64 i 2) (*.f64 (+.f64 i 2) i))
(/.f64 1 (/.f64 (+.f64 i 2) (*.f64 (+.f64 i 2) i)))
(*.f64 (+.f64 i 2) i)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 i (+.f64 i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 i i) (*.f64 i 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 i 2) (*.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 i) (+.f64 i 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 i) (+.f64 i 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 i) (+.f64 i 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 i) (+.f64 i 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 i (+.f64 i 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 i 3)) i) (-.f64 (fma.f64 i i 4) (*.f64 i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 i i -4) i) (+.f64 i -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 i (+.f64 8 (pow.f64 i 3))) (-.f64 (fma.f64 i i 4) (*.f64 i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 i (fma.f64 i i -4)) (+.f64 i -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i (+.f64 i 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 i (+.f64 i 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 i (+.f64 i 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 i (+.f64 i 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 i (sqrt.f64 (*.f64 i 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 i 3) (pow.f64 (+.f64 i 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 i 2) 3) (pow.f64 i 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 i (+.f64 i 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 i) (+.f64 i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 i (+.f64 i 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 i i)) (exp.f64 (*.f64 i 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 i 2)) (exp.f64 (*.f64 i i))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 i (+.f64 i 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 i 3) (pow.f64 (+.f64 i 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 i 2) 3) (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 i (+.f64 i 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 i (+.f64 i 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 i (+.f64 i 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 i (+.f64 i 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 i i) (*.f64 i 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 i 2) (*.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 i i (*.f64 i 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 i 2 (*.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 i (*.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 (cbrt.f64 i) i) (*.f64 i 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 (cbrt.f64 i) 2) (*.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 i) (*.f64 (sqrt.f64 i) i) (*.f64 i 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 i) (*.f64 (sqrt.f64 i) 2) (*.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 i 2)) (*.f64 (*.f64 i (+.f64 i 2)) i) (*.f64 i 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 1 (+.f64 i 2)) 2) (pow.f64 (*.f64 i (+.f64 i 2)) 2) (*.f64 i 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 i) 2) 2) (pow.f64 (cbrt.f64 i) 2) (*.f64 i 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 i (sqrt.f64 i)) (sqrt.f64 i) (*.f64 i 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 i 2)) 2) (cbrt.f64 (*.f64 i 2)) (*.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 i 2)) (sqrt.f64 (*.f64 i 2)) (*.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 i (/.f64 1 (+.f64 i 2))) (*.f64 i (+.f64 i 2)) (*.f64 i 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 i (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i) (*.f64 i 2))))))

simplify136.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
759×sqr-pow_binary64
544×associate-/l/_binary64
485×cube-prod_binary64
481×fma-def_binary64
476×fabs-mul_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09186
117159
230159
354159
4117159
5332159
61101159
72450159
83651159
93843159
104057159
114367159
124793159
135284159
145856159
156548159
167392159
177791159
Stop Event
1×node limit
Counts
256 → 205
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 1 i)
(/.f64 1 i)
(/.f64 1 i)
(/.f64 1 i)
(/.f64 1 i)
(/.f64 1 i)
(/.f64 1 i)
(/.f64 1 i)
(/.f64 1 i)
(/.f64 1 i)
(/.f64 1 i)
(/.f64 1 i)
i
i
i
i
i
i
i
i
i
i
i
i
(*.f64 2 i)
(+.f64 (pow.f64 i 2) (*.f64 2 i))
(+.f64 (pow.f64 i 2) (*.f64 2 i))
(+.f64 (pow.f64 i 2) (*.f64 2 i))
(pow.f64 i 2)
(+.f64 (pow.f64 i 2) (*.f64 2 i))
(+.f64 (pow.f64 i 2) (*.f64 2 i))
(+.f64 (pow.f64 i 2) (*.f64 2 i))
(pow.f64 i 2)
(+.f64 (pow.f64 i 2) (*.f64 2 i))
(+.f64 (pow.f64 i 2) (*.f64 2 i))
(+.f64 (pow.f64 i 2) (*.f64 2 i))
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 1 i)
(/.f64 1 i)
(/.f64 1 i)
(/.f64 1 i)
(/.f64 1 i)
(/.f64 1 i)
(/.f64 1 i)
(/.f64 1 i)
(/.f64 1 i)
(/.f64 1 i)
(/.f64 1 i)
(/.f64 1 i)
i
i
i
i
i
i
i
i
i
i
i
i
(*.f64 2 i)
(*.f64 i 2)
(+.f64 (pow.f64 i 2) (*.f64 2 i))
(+.f64 (*.f64 i 2) (*.f64 i i))
(*.f64 i (+.f64 2 i))
(*.f64 i (+.f64 i 2))
(+.f64 (pow.f64 i 2) (*.f64 2 i))
(+.f64 (*.f64 i 2) (*.f64 i i))
(*.f64 i (+.f64 2 i))
(*.f64 i (+.f64 i 2))
(+.f64 (pow.f64 i 2) (*.f64 2 i))
(+.f64 (*.f64 i 2) (*.f64 i i))
(*.f64 i (+.f64 2 i))
(*.f64 i (+.f64 i 2))
(pow.f64 i 2)
(*.f64 i i)
(+.f64 (pow.f64 i 2) (*.f64 2 i))
(+.f64 (*.f64 i 2) (*.f64 i i))
(*.f64 i (+.f64 2 i))
(*.f64 i (+.f64 i 2))
(+.f64 (pow.f64 i 2) (*.f64 2 i))
(+.f64 (*.f64 i 2) (*.f64 i i))
(*.f64 i (+.f64 2 i))
(*.f64 i (+.f64 i 2))
(+.f64 (pow.f64 i 2) (*.f64 2 i))
(+.f64 (*.f64 i 2) (*.f64 i i))
(*.f64 i (+.f64 2 i))
(*.f64 i (+.f64 i 2))
(pow.f64 i 2)
(*.f64 i i)
(+.f64 (pow.f64 i 2) (*.f64 2 i))
(+.f64 (*.f64 i 2) (*.f64 i i))
(*.f64 i (+.f64 2 i))
(*.f64 i (+.f64 i 2))
(+.f64 (pow.f64 i 2) (*.f64 2 i))
(+.f64 (*.f64 i 2) (*.f64 i i))
(*.f64 i (+.f64 2 i))
(*.f64 i (+.f64 i 2))
(+.f64 (pow.f64 i 2) (*.f64 2 i))
(+.f64 (*.f64 i 2) (*.f64 i i))
(*.f64 i (+.f64 2 i))
(*.f64 i (+.f64 i 2))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (expm1.f64 i) 100)
✓0.1b
(/.f64 (*.f64 (expm1.f64 i) 100) i)
✓0.2b
(/.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))
Compiler

Compiled 31 to 18 computations (41.9% saved)

series4.0ms (0%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
i
@inf
(/.f64 (*.f64 (expm1.f64 i) 100) i)
0.0ms
i
@-inf
(/.f64 (*.f64 (expm1.f64 i) 100) i)
0.0ms
i
@-inf
(*.f64 (expm1.f64 i) 100)
0.0ms
i
@0
(/.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))
0.0ms
i
@inf
(*.f64 (expm1.f64 i) 100)

rewrite74.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
549×log-prod_binary64
429×exp-prod_binary64
338×pow-prod-down_binary64
263×pow2_binary64
191×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01030
121527
2291127
Stop Event
1×node limit
Counts
3 → 146
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))
(/.f64 (*.f64 (expm1.f64 i) 100) i)
(*.f64 (expm1.f64 i) 100)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (*.f64 100 (/.f64 (expm1.f64 i) i)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (*.f64 100 (/.f64 (expm1.f64 i) i))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (*.f64 100 (/.f64 (expm1.f64 i) i))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (*.f64 100 (/.f64 (expm1.f64 i) i))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 i) 100) (*.f64 (/.f64 1 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100)))))) (#(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 (expm1.f64 i) (/.f64 (/.f64 i n) 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 2)) (*.f64 (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100)) 2)) (cbrt.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 n) (/.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) (pow.f64 n -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) (*.f64 (sqrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))) (sqrt.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (expm1.f64 i) -100) i) (/.f64 1 (/.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) (/.f64 1 n)) (/.f64 100 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (/.f64 1 n)) (/.f64 (expm1.f64 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 i) 2) 10000)) (/.f64 1 n)) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (expm1.f64 i) 100)) (/.f64 1 n)) (/.f64 (sqrt.f64 (*.f64 (expm1.f64 i) 100)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (expm1.f64 i) 100) 1) (/.f64 (/.f64 1 i) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) 1) (/.f64 (sqrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (cbrt.f64 (pow.f64 n -2))) (/.f64 (/.f64 1 i) (/.f64 1 (cbrt.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 n -2))) (/.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) (/.f64 1 (cbrt.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 2)) (cbrt.f64 (pow.f64 n -2))) (cbrt.f64 (/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) (cbrt.f64 (pow.f64 n -2))) (/.f64 (sqrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) (/.f64 1 (cbrt.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (pow.f64 n 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simplify68.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
915×fma-def_binary64
536×associate-/l/_binary64
527×associate-/l*_binary64
457×distribute-rgt-in_binary64
450×distribute-lft-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053528
1149526
2371504
31091477
43324477
55581477
Stop Event
1×node limit
Counts
194 → 173
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))
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 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 i (*.f64 n 50)))
(*.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 i (*.f64 i 50/3)))))
(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 (*.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 i (*.f64 i 50/3))))))
(+.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 (*.f64 i i) (fma.f64 i 25/6 50/3) (fma.f64 50 i 100)))
(*.f64 n (fma.f64 i (fma.f64 i 50/3 50) (fma.f64 25/6 (pow.f64 i 3) 100)))
(*.f64 n (fma.f64 i (*.f64 i (fma.f64 i 25/6 50/3)) (fma.f64 50 i 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)))
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 100 (fma.f64 50 i (*.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 50/3 (*.f64 i i) (*.f64 25/6 (pow.f64 i 3))))
(+.f64 100 (fma.f64 50 i (*.f64 (*.f64 i i) (+.f64 50/3 (*.f64 i 25/6)))))
(fma.f64 (*.f64 i i) (fma.f64 i 25/6 50/3) (fma.f64 50 i 100))
(fma.f64 i (fma.f64 i 50/3 50) (fma.f64 25/6 (pow.f64 i 3) 100))
(fma.f64 i (*.f64 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 i) (expm1.f64 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 i) (expm1.f64 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 i) (expm1.f64 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 i) (expm1.f64 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 i) (expm1.f64 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 i) (expm1.f64 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 i) (expm1.f64 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 i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 100 i))
(*.f64 100 i)
(+.f64 (*.f64 100 i) (*.f64 50 (pow.f64 i 2)))
(fma.f64 100 i (*.f64 50 (*.f64 i i)))
(fma.f64 50 (*.f64 i i) (*.f64 100 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 50/3 (pow.f64 i 3) (*.f64 i (fma.f64 50 i 100)))
(*.f64 i (fma.f64 i (fma.f64 i 50/3 50) 100))
(+.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)))))
(+.f64 (*.f64 i (fma.f64 50 i 100)) (fma.f64 50/3 (pow.f64 i 3) (*.f64 25/6 (pow.f64 i 4))))
(fma.f64 i (fma.f64 50 i 100) (*.f64 (pow.f64 i 3) (fma.f64 i 25/6 50/3)))
(*.f64 i (fma.f64 i (fma.f64 i 50/3 50) (fma.f64 25/6 (pow.f64 i 3) 100)))
(*.f64 i (fma.f64 i (*.f64 i (fma.f64 i 25/6 50/3)) (fma.f64 50 i 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))

eval255.0ms (1.1%)

Compiler

Compiled 14694 to 8793 computations (40.2% saved)

prune123.0ms (0.5%)

Pruning

46 alts after pruning (37 fresh and 9 done)

PrunedKeptTotal
New68017697
Fresh92029
Picked011
Done2810
Total69146737
Error
0b
Counts
737 → 46
Alt Table
Click to see full alt table
StatusErrorProgram
27.7b
(*.f64 (*.f64 (expm1.f64 i) 100) (*.f64 (/.f64 1 i) n))
27.1b
(pow.f64 (cbrt.f64 (*.f64 n 100)) 3)
36.9b
(*.f64 100 (/.f64 (/.f64 1 (*.f64 (/.f64 1 (*.f64 i (+.f64 i 2))) (+.f64 i 2))) (/.f64 i n)))
27.9b
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
26.5b
(*.f64 100 (/.f64 1 (/.f64 1 n)))
26.7b
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
29.3b
(*.f64 100 (/.f64 (*.f64 n i) i))
✓16.0b
(/.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))
31.8b
(*.f64 100 (/.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 i 2)) (+.f64 i 2)) i) (/.f64 i n)))
27.1b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
✓55.3b
(*.f64 100 (/.f64 (-.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 1 (/.f64 i n)) n)) i) (*.f64 i n)) (*.f64 i i)))
25.8b
(-.f64 (+.f64 1 (*.f64 n 100)) 1)
60.1b
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 i i))) (/.f64 i n)))
✓31.8b
(/.f64 (*.f64 100 i) (/.f64 i n))
15.9b
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i 100)) n)
62.7b
(*.f64 100 (/.f64 (-.f64 (*.f64 (*.f64 n (+.f64 i (+.f64 1 (*.f64 i (*.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))))))) i) (*.f64 i n)) (*.f64 i i)))
27.1b
(/.f64 (+.f64 100 (*.f64 50 i)) (/.f64 1 n))
✓14.4b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
26.9b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
49.8b
(*.f64 100 (-.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 i -1/2) (/.f64 n i))) (/.f64 n i)))
51.8b
(*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 i 1/100)) (/.f64 100 i)) n)
26.6b
(/.f64 100 (/.f64 1 n))
26.9b
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
49.8b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
32.2b
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 i 2))) (/.f64 i n)))
33.1b
(*.f64 (/.f64 100 (/.f64 i n)) i)
✓49.7b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
29.4b
(*.f64 (/.f64 1 i) (/.f64 (*.f64 100 i) (/.f64 1 n)))
✓14.4b
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
43.0b
(*.f64 100 (sqrt.f64 (*.f64 n n)))
62.4b
(*.f64 100 (-.f64 (*.f64 (+.f64 i (+.f64 1 (*.f64 i (*.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 n i)) (/.f64 n i)))
25.9b
(*.f64 100 (-.f64 (+.f64 1 n) 1))
26.3b
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
15.8b
(*.f64 (*.f64 (/.f64 100 i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) n)
31.8b
(*.f64 100 (/.f64 (/.f64 1 (/.f64 1 i)) (/.f64 i n)))
✓49.8b
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i)))
51.4b
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
15.8b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
29.9b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (+.f64 1/6 (+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 -1/2 n)))))))))
32.3b
(*.f64 100 (/.f64 (pow.f64 (cbrt.f64 i) 3) (/.f64 i n)))
✓26.5b
(*.f64 n 100)
16.5b
(/.f64 (*.f64 (expm1.f64 i) (/.f64 1 (*.f64 i 1/100))) (/.f64 1 n))
29.4b
(/.f64 (*.f64 (*.f64 n i) 100) i)
15.8b
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)
✓61.9b
(*.f64 i -50)
27.0b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i 1/2))))
Compiler

Compiled 652 to 467 computations (28.4% saved)

regimes383.0ms (1.6%)

Counts
78 → 3
Calls
Call 1
Inputs
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(/.f64 100 (/.f64 1 n))
(*.f64 (/.f64 100 (/.f64 i n)) i)
(*.f64 100 (/.f64 1 (/.f64 1 n)))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(-.f64 (+.f64 1 (*.f64 n 100)) 1)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (-.f64 (+.f64 1 n) 1))
(/.f64 (*.f64 (*.f64 n i) 100) i)
(*.f64 100 (*.f64 (/.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 (+.f64 100 (*.f64 50 i)) (/.f64 1 n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i 1/2))))
(*.f64 100 (+.f64 n (*.f64 1/2 (*.f64 n i))))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 (/.f64 1 i) (/.f64 (*.f64 100 i) (/.f64 1 n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 1 i)) (/.f64 i n)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 i i))) (/.f64 i n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 i 2))) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 100 (/.f64 (/.f64 (*.f64 (+.f64 i 2) i) (+.f64 i 2)) (/.f64 i n)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (/.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 i 2)) (+.f64 i 2)) i) (/.f64 i n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 (+.f64 i 2) i))) (/.f64 i n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (/.f64 (/.f64 1 (*.f64 (/.f64 1 (*.f64 i (+.f64 i 2))) (+.f64 i 2))) (/.f64 i n)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (+.f64 1/6 (+.f64 (/.f64 1/3 (*.f64 n n)) (/.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 100 (-.f64 (*.f64 (+.f64 i (+.f64 1 (*.f64 i (*.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 n i)) (/.f64 n i)))
(*.f64 100 (/.f64 (-.f64 (*.f64 (*.f64 n (+.f64 i (+.f64 1 (*.f64 i (*.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))))))) i) (*.f64 i n)) (*.f64 i i)))
(*.f64 100 (sqrt.f64 (*.f64 n n)))
(*.f64 100 (sqrt.f64 (*.f64 n n)))
(*.f64 100 (pow.f64 (/.f64 1 n) -1))
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i 100)) n)
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) 100) (*.f64 (/.f64 1 i) n))
(/.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 (expm1.f64 i) (/.f64 1 (*.f64 i 1/100))) (/.f64 1 n))
(*.f64 n (*.f64 (-.f64 (/.f64 1 i) (/.f64 (exp.f64 i) 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 100 (-.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 i -1/2) (/.f64 n i))) (/.f64 n i)))
(*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 i 1/100)) (/.f64 100 i)) n)
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i)))
(+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))
(-.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 100 (/.f64 (-.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 1 (/.f64 i n)) n)) i) (*.f64 i n)) (*.f64 i i)))
(pow.f64 (cbrt.f64 (*.f64 n 100)) 3)
(*.f64 100 (pow.f64 (sqrt.f64 n) 2))
(*.f64 100 (pow.f64 (cbrt.f64 n) 3))
(*.f64 100 (/.f64 (pow.f64 (cbrt.f64 i) 3) (/.f64 i n)))
(*.f64 100 (/.f64 (pow.f64 (cbrt.f64 i) 3) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 100 i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) n)
(*.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 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
(/.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n))
Outputs
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(/.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) i)
(-.f64 (+.f64 1 (*.f64 n 100)) 1)
Calls

4 calls:

194.0ms
n
121.0ms
i
21.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
20.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Results
ErrorSegmentsBranch
4.9b3i
4.0b5n
0.4b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
0.4b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 975 to 563 computations (42.3% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
105014.24661942136
NaN
0.0ms
-0.0
1.7092859644204407e-264
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes374.0ms (1.5%)

Counts
75 → 3
Calls
Call 1
Inputs
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(/.f64 100 (/.f64 1 n))
(*.f64 (/.f64 100 (/.f64 i n)) i)
(*.f64 100 (/.f64 1 (/.f64 1 n)))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(-.f64 (+.f64 1 (*.f64 n 100)) 1)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (-.f64 (+.f64 1 n) 1))
(/.f64 (*.f64 (*.f64 n i) 100) i)
(*.f64 100 (*.f64 (/.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 (+.f64 100 (*.f64 50 i)) (/.f64 1 n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i 1/2))))
(*.f64 100 (+.f64 n (*.f64 1/2 (*.f64 n i))))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 (/.f64 1 i) (/.f64 (*.f64 100 i) (/.f64 1 n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 1 i)) (/.f64 i n)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 i i))) (/.f64 i n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 i 2))) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 100 (/.f64 (/.f64 (*.f64 (+.f64 i 2) i) (+.f64 i 2)) (/.f64 i n)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (/.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 i 2)) (+.f64 i 2)) i) (/.f64 i n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 (+.f64 i 2) i))) (/.f64 i n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (/.f64 (/.f64 1 (*.f64 (/.f64 1 (*.f64 i (+.f64 i 2))) (+.f64 i 2))) (/.f64 i n)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (+.f64 1/6 (+.f64 (/.f64 1/3 (*.f64 n n)) (/.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 100 (-.f64 (*.f64 (+.f64 i (+.f64 1 (*.f64 i (*.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 n i)) (/.f64 n i)))
(*.f64 100 (/.f64 (-.f64 (*.f64 (*.f64 n (+.f64 i (+.f64 1 (*.f64 i (*.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))))))) i) (*.f64 i n)) (*.f64 i i)))
(*.f64 100 (sqrt.f64 (*.f64 n n)))
(*.f64 100 (sqrt.f64 (*.f64 n n)))
(*.f64 100 (pow.f64 (/.f64 1 n) -1))
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i 100)) n)
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) 100) (*.f64 (/.f64 1 i) n))
(/.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 (expm1.f64 i) (/.f64 1 (*.f64 i 1/100))) (/.f64 1 n))
(*.f64 n (*.f64 (-.f64 (/.f64 1 i) (/.f64 (exp.f64 i) 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 100 (-.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 i -1/2) (/.f64 n i))) (/.f64 n i)))
(*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 i 1/100)) (/.f64 100 i)) n)
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i)))
(+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))
(-.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 100 (/.f64 (-.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 1 (/.f64 i n)) n)) i) (*.f64 i n)) (*.f64 i i)))
(pow.f64 (cbrt.f64 (*.f64 n 100)) 3)
(*.f64 100 (pow.f64 (sqrt.f64 n) 2))
(*.f64 100 (pow.f64 (cbrt.f64 n) 3))
(*.f64 100 (/.f64 (pow.f64 (cbrt.f64 i) 3) (/.f64 i n)))
(*.f64 100 (/.f64 (pow.f64 (cbrt.f64 i) 3) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 100 i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) n)
(*.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 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
Outputs
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(-.f64 (+.f64 1 (*.f64 n 100)) 1)
Calls

4 calls:

185.0ms
n
119.0ms
i
26.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
20.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Results
ErrorSegmentsBranch
4.9b3i
4.0b5n
0.4b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
0.4b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 932 to 542 computations (41.8% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
105014.24661942136
NaN
0.0ms
-0.0
1.7092859644204407e-264
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes362.0ms (1.5%)

Counts
73 → 3
Calls
Call 1
Inputs
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(/.f64 100 (/.f64 1 n))
(*.f64 (/.f64 100 (/.f64 i n)) i)
(*.f64 100 (/.f64 1 (/.f64 1 n)))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(-.f64 (+.f64 1 (*.f64 n 100)) 1)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (-.f64 (+.f64 1 n) 1))
(/.f64 (*.f64 (*.f64 n i) 100) i)
(*.f64 100 (*.f64 (/.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 (+.f64 100 (*.f64 50 i)) (/.f64 1 n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i 1/2))))
(*.f64 100 (+.f64 n (*.f64 1/2 (*.f64 n i))))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 (/.f64 1 i) (/.f64 (*.f64 100 i) (/.f64 1 n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 1 i)) (/.f64 i n)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 i i))) (/.f64 i n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 i 2))) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 100 (/.f64 (/.f64 (*.f64 (+.f64 i 2) i) (+.f64 i 2)) (/.f64 i n)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (/.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 i 2)) (+.f64 i 2)) i) (/.f64 i n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 (+.f64 i 2) i))) (/.f64 i n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (/.f64 (/.f64 1 (*.f64 (/.f64 1 (*.f64 i (+.f64 i 2))) (+.f64 i 2))) (/.f64 i n)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (+.f64 1/6 (+.f64 (/.f64 1/3 (*.f64 n n)) (/.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 100 (-.f64 (*.f64 (+.f64 i (+.f64 1 (*.f64 i (*.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 n i)) (/.f64 n i)))
(*.f64 100 (/.f64 (-.f64 (*.f64 (*.f64 n (+.f64 i (+.f64 1 (*.f64 i (*.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))))))) i) (*.f64 i n)) (*.f64 i i)))
(*.f64 100 (sqrt.f64 (*.f64 n n)))
(*.f64 100 (sqrt.f64 (*.f64 n n)))
(*.f64 100 (pow.f64 (/.f64 1 n) -1))
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i 100)) n)
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) 100) (*.f64 (/.f64 1 i) n))
(/.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 (expm1.f64 i) (/.f64 1 (*.f64 i 1/100))) (/.f64 1 n))
(*.f64 n (*.f64 (-.f64 (/.f64 1 i) (/.f64 (exp.f64 i) 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 100 (-.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 i -1/2) (/.f64 n i))) (/.f64 n i)))
(*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 i 1/100)) (/.f64 100 i)) n)
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i)))
(+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))
(-.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 100 (/.f64 (-.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 1 (/.f64 i n)) n)) i) (*.f64 i n)) (*.f64 i i)))
(pow.f64 (cbrt.f64 (*.f64 n 100)) 3)
(*.f64 100 (pow.f64 (sqrt.f64 n) 2))
(*.f64 100 (pow.f64 (cbrt.f64 n) 3))
(*.f64 100 (/.f64 (pow.f64 (cbrt.f64 i) 3) (/.f64 i n)))
(*.f64 100 (/.f64 (pow.f64 (cbrt.f64 i) 3) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 100 i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) n)
(*.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 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
Outputs
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(-.f64 (+.f64 1 (*.f64 n 100)) 1)
Calls

4 calls:

195.0ms
n
101.0ms
i
22.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
20.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Results
ErrorSegmentsBranch
4.9b3i
4.0b5n
0.5b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
0.5b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 906 to 535 computations (40.9% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
105014.24661942136
NaN
0.0ms
-0.0
1.7092859644204407e-264
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes388.0ms (1.6%)

Counts
71 → 3
Calls
Call 1
Inputs
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(/.f64 100 (/.f64 1 n))
(*.f64 (/.f64 100 (/.f64 i n)) i)
(*.f64 100 (/.f64 1 (/.f64 1 n)))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(-.f64 (+.f64 1 (*.f64 n 100)) 1)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (-.f64 (+.f64 1 n) 1))
(/.f64 (*.f64 (*.f64 n i) 100) i)
(*.f64 100 (*.f64 (/.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 (+.f64 100 (*.f64 50 i)) (/.f64 1 n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i 1/2))))
(*.f64 100 (+.f64 n (*.f64 1/2 (*.f64 n i))))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 (/.f64 1 i) (/.f64 (*.f64 100 i) (/.f64 1 n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 1 i)) (/.f64 i n)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 i i))) (/.f64 i n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 i 2))) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 100 (/.f64 (/.f64 (*.f64 (+.f64 i 2) i) (+.f64 i 2)) (/.f64 i n)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (/.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 i 2)) (+.f64 i 2)) i) (/.f64 i n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 (+.f64 i 2) i))) (/.f64 i n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (/.f64 (/.f64 1 (*.f64 (/.f64 1 (*.f64 i (+.f64 i 2))) (+.f64 i 2))) (/.f64 i n)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (+.f64 1/6 (+.f64 (/.f64 1/3 (*.f64 n n)) (/.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 100 (-.f64 (*.f64 (+.f64 i (+.f64 1 (*.f64 i (*.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 n i)) (/.f64 n i)))
(*.f64 100 (/.f64 (-.f64 (*.f64 (*.f64 n (+.f64 i (+.f64 1 (*.f64 i (*.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))))))) i) (*.f64 i n)) (*.f64 i i)))
(*.f64 100 (sqrt.f64 (*.f64 n n)))
(*.f64 100 (sqrt.f64 (*.f64 n n)))
(*.f64 100 (pow.f64 (/.f64 1 n) -1))
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i 100)) n)
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) 100) (*.f64 (/.f64 1 i) n))
(/.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 (expm1.f64 i) (/.f64 1 (*.f64 i 1/100))) (/.f64 1 n))
(*.f64 n (*.f64 (-.f64 (/.f64 1 i) (/.f64 (exp.f64 i) 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 100 (-.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 i -1/2) (/.f64 n i))) (/.f64 n i)))
(*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 i 1/100)) (/.f64 100 i)) n)
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i)))
(+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))
(-.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 100 (/.f64 (-.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 1 (/.f64 i n)) n)) i) (*.f64 i n)) (*.f64 i i)))
(pow.f64 (cbrt.f64 (*.f64 n 100)) 3)
(*.f64 100 (pow.f64 (sqrt.f64 n) 2))
(*.f64 100 (pow.f64 (cbrt.f64 n) 3))
(*.f64 100 (/.f64 (pow.f64 (cbrt.f64 i) 3) (/.f64 i n)))
(*.f64 100 (/.f64 (pow.f64 (cbrt.f64 i) 3) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 100 i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) n)
(*.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))
Outputs
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)) n)
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(-.f64 (+.f64 1 (*.f64 n 100)) 1)
Calls

4 calls:

179.0ms
n
146.0ms
i
19.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
19.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Results
ErrorSegmentsBranch
5.0b3i
4.0b5n
1.7b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
1.7b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 880 to 528 computations (40% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
105014.24661942136
NaN
0.0ms
-0.0
1.7092859644204407e-264
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes536.0ms (2.2%)

Counts
69 → 3
Calls
Call 1
Inputs
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(/.f64 100 (/.f64 1 n))
(*.f64 (/.f64 100 (/.f64 i n)) i)
(*.f64 100 (/.f64 1 (/.f64 1 n)))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(-.f64 (+.f64 1 (*.f64 n 100)) 1)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (-.f64 (+.f64 1 n) 1))
(/.f64 (*.f64 (*.f64 n i) 100) i)
(*.f64 100 (*.f64 (/.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 (+.f64 100 (*.f64 50 i)) (/.f64 1 n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i 1/2))))
(*.f64 100 (+.f64 n (*.f64 1/2 (*.f64 n i))))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 (/.f64 1 i) (/.f64 (*.f64 100 i) (/.f64 1 n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 1 i)) (/.f64 i n)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 i i))) (/.f64 i n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 i 2))) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 100 (/.f64 (/.f64 (*.f64 (+.f64 i 2) i) (+.f64 i 2)) (/.f64 i n)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (/.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 i 2)) (+.f64 i 2)) i) (/.f64 i n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 (+.f64 i 2) i))) (/.f64 i n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (/.f64 (/.f64 1 (*.f64 (/.f64 1 (*.f64 i (+.f64 i 2))) (+.f64 i 2))) (/.f64 i n)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (+.f64 1/6 (+.f64 (/.f64 1/3 (*.f64 n n)) (/.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 100 (-.f64 (*.f64 (+.f64 i (+.f64 1 (*.f64 i (*.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 n i)) (/.f64 n i)))
(*.f64 100 (/.f64 (-.f64 (*.f64 (*.f64 n (+.f64 i (+.f64 1 (*.f64 i (*.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))))))) i) (*.f64 i n)) (*.f64 i i)))
(*.f64 100 (sqrt.f64 (*.f64 n n)))
(*.f64 100 (sqrt.f64 (*.f64 n n)))
(*.f64 100 (pow.f64 (/.f64 1 n) -1))
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i 100)) n)
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) 100) (*.f64 (/.f64 1 i) n))
(/.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 (expm1.f64 i) (/.f64 1 (*.f64 i 1/100))) (/.f64 1 n))
(*.f64 n (*.f64 (-.f64 (/.f64 1 i) (/.f64 (exp.f64 i) 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 100 (-.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 i -1/2) (/.f64 n i))) (/.f64 n i)))
(*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 i 1/100)) (/.f64 100 i)) n)
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i)))
(+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))
(-.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 100 (/.f64 (-.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 1 (/.f64 i n)) n)) i) (*.f64 i n)) (*.f64 i i)))
(pow.f64 (cbrt.f64 (*.f64 n 100)) 3)
(*.f64 100 (pow.f64 (sqrt.f64 n) 2))
(*.f64 100 (pow.f64 (cbrt.f64 n) 3))
(*.f64 100 (/.f64 (pow.f64 (cbrt.f64 i) 3) (/.f64 i n)))
(*.f64 100 (/.f64 (pow.f64 (cbrt.f64 i) 3) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 100 i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) n)
Outputs
(*.f64 (*.f64 (/.f64 100 i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) n)
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(-.f64 (+.f64 1 (*.f64 n 100)) 1)
Calls

4 calls:

360.0ms
n
113.0ms
i
21.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
19.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Results
ErrorSegmentsBranch
5.0b3i
4.2b5n
2.0b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
2.0b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 854 to 521 computations (39% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
105014.24661942136
NaN
0.0ms
-0.0
1.7092859644204407e-264
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes234.0ms (1%)

Counts
68 → 2
Calls
Call 1
Inputs
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(/.f64 100 (/.f64 1 n))
(*.f64 (/.f64 100 (/.f64 i n)) i)
(*.f64 100 (/.f64 1 (/.f64 1 n)))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(-.f64 (+.f64 1 (*.f64 n 100)) 1)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (-.f64 (+.f64 1 n) 1))
(/.f64 (*.f64 (*.f64 n i) 100) i)
(*.f64 100 (*.f64 (/.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 (+.f64 100 (*.f64 50 i)) (/.f64 1 n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i 1/2))))
(*.f64 100 (+.f64 n (*.f64 1/2 (*.f64 n i))))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 (/.f64 1 i) (/.f64 (*.f64 100 i) (/.f64 1 n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 1 i)) (/.f64 i n)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 i i))) (/.f64 i n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 i 2))) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 100 (/.f64 (/.f64 (*.f64 (+.f64 i 2) i) (+.f64 i 2)) (/.f64 i n)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (/.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 i 2)) (+.f64 i 2)) i) (/.f64 i n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 (+.f64 i 2) i))) (/.f64 i n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (/.f64 (/.f64 1 (*.f64 (/.f64 1 (*.f64 i (+.f64 i 2))) (+.f64 i 2))) (/.f64 i n)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (+.f64 1/6 (+.f64 (/.f64 1/3 (*.f64 n n)) (/.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 100 (-.f64 (*.f64 (+.f64 i (+.f64 1 (*.f64 i (*.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 n i)) (/.f64 n i)))
(*.f64 100 (/.f64 (-.f64 (*.f64 (*.f64 n (+.f64 i (+.f64 1 (*.f64 i (*.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))))))) i) (*.f64 i n)) (*.f64 i i)))
(*.f64 100 (sqrt.f64 (*.f64 n n)))
(*.f64 100 (sqrt.f64 (*.f64 n n)))
(*.f64 100 (pow.f64 (/.f64 1 n) -1))
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i 100)) n)
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 (expm1.f64 i) (*.f64 (/.f64 100 i) n))
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (*.f64 (expm1.f64 i) 100) (*.f64 (/.f64 1 i) n))
(/.f64 (/.f64 (*.f64 (expm1.f64 i) 100) i) (/.f64 1 n))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 (expm1.f64 i) (/.f64 1 (*.f64 i 1/100))) (/.f64 1 n))
(*.f64 n (*.f64 (-.f64 (/.f64 1 i) (/.f64 (exp.f64 i) 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 100 (-.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 i -1/2) (/.f64 n i))) (/.f64 n i)))
(*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 i 1/100)) (/.f64 100 i)) n)
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i)))
(+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))
(-.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 100 (/.f64 (-.f64 (*.f64 (*.f64 n (pow.f64 (+.f64 1 (/.f64 i n)) n)) i) (*.f64 i n)) (*.f64 i i)))
(pow.f64 (cbrt.f64 (*.f64 n 100)) 3)
(*.f64 100 (pow.f64 (sqrt.f64 n) 2))
(*.f64 100 (pow.f64 (cbrt.f64 n) 3))
(*.f64 100 (/.f64 (pow.f64 (cbrt.f64 i) 3) (/.f64 i n)))
(*.f64 100 (/.f64 (pow.f64 (cbrt.f64 i) 3) (/.f64 i n)))
Outputs
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)
(*.f64 100 (-.f64 (+.f64 1 n) 1))
Calls

4 calls:

108.0ms
n
63.0ms
i
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
10.3b2i
10.6b3n
10.4b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
10.4b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 841 to 514 computations (38.9% saved)

bsearch1.2s (4.8%)

Algorithm
1×binary-search
Steps
TimeLeftRight
1.2s
4.129519895469143e-133
2.8015839233883364e-123
Compiler

Compiled 232 to 185 computations (20.3% saved)

regimes105.0ms (0.4%)

Counts
43 → 2
Calls
Call 1
Inputs
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(/.f64 100 (/.f64 1 n))
(*.f64 (/.f64 100 (/.f64 i n)) i)
(*.f64 100 (/.f64 1 (/.f64 1 n)))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(-.f64 (+.f64 1 (*.f64 n 100)) 1)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (-.f64 (+.f64 1 n) 1))
(/.f64 (*.f64 (*.f64 n i) 100) i)
(*.f64 100 (*.f64 (/.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 (+.f64 100 (*.f64 50 i)) (/.f64 1 n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i 1/2))))
(*.f64 100 (+.f64 n (*.f64 1/2 (*.f64 n i))))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 (/.f64 1 i) (/.f64 (*.f64 100 i) (/.f64 1 n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 1 i)) (/.f64 i n)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 i i))) (/.f64 i n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 i 2))) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 100 (/.f64 (/.f64 (*.f64 (+.f64 i 2) i) (+.f64 i 2)) (/.f64 i n)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (/.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 i 2)) (+.f64 i 2)) i) (/.f64 i n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 (+.f64 i 2) i))) (/.f64 i n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (/.f64 (/.f64 1 (*.f64 (/.f64 1 (*.f64 i (+.f64 i 2))) (+.f64 i 2))) (/.f64 i n)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (+.f64 1/6 (+.f64 (/.f64 1/3 (*.f64 n n)) (/.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 100 (-.f64 (*.f64 (+.f64 i (+.f64 1 (*.f64 i (*.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 n i)) (/.f64 n i)))
(*.f64 100 (/.f64 (-.f64 (*.f64 (*.f64 n (+.f64 i (+.f64 1 (*.f64 i (*.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))))))) i) (*.f64 i n)) (*.f64 i i)))
(*.f64 100 (sqrt.f64 (*.f64 n n)))
(*.f64 100 (sqrt.f64 (*.f64 n n)))
(*.f64 100 (pow.f64 (/.f64 1 n) -1))
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i 100)) n)
Outputs
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i 100)) n)
(*.f64 100 (-.f64 (+.f64 1 n) 1))
Calls

2 calls:

54.0ms
n
38.0ms
i
Results
ErrorSegmentsBranch
10.4b2i
10.7b3n
Compiler

Compiled 520 to 342 computations (34.2% saved)

bsearch1.1s (4.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
1.1s
4.129519895469143e-133
2.8015839233883364e-123
Compiler

Compiled 232 to 185 computations (20.3% saved)

regimes116.0ms (0.5%)

Counts
42 → 3
Calls
Call 1
Inputs
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(/.f64 100 (/.f64 1 n))
(*.f64 (/.f64 100 (/.f64 i n)) i)
(*.f64 100 (/.f64 1 (/.f64 1 n)))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(-.f64 (+.f64 1 (*.f64 n 100)) 1)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (-.f64 (+.f64 1 n) 1))
(/.f64 (*.f64 (*.f64 n i) 100) i)
(*.f64 100 (*.f64 (/.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (/.f64 i (/.f64 i n)))
(/.f64 (+.f64 100 (*.f64 50 i)) (/.f64 1 n))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i 1/2))))
(*.f64 100 (+.f64 n (*.f64 1/2 (*.f64 n i))))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 (/.f64 1 i) (/.f64 (*.f64 100 i) (/.f64 1 n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 1 i)) (/.f64 i n)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 i i))) (/.f64 i n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 i 2))) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 100 (/.f64 (/.f64 (*.f64 (+.f64 i 2) i) (+.f64 i 2)) (/.f64 i n)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 100 (/.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 i 2)) (+.f64 i 2)) i) (/.f64 i n)))
(*.f64 100 (/.f64 (/.f64 1 (/.f64 (+.f64 i 2) (*.f64 (+.f64 i 2) i))) (/.f64 i n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(*.f64 100 (/.f64 (/.f64 1 (*.f64 (/.f64 1 (*.f64 i (+.f64 i 2))) (+.f64 i 2))) (/.f64 i n)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i (+.f64 1/6 (+.f64 (/.f64 1/3 (*.f64 n n)) (/.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 100 (-.f64 (*.f64 (+.f64 i (+.f64 1 (*.f64 i (*.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 n i)) (/.f64 n i)))
(*.f64 100 (/.f64 (-.f64 (*.f64 (*.f64 n (+.f64 i (+.f64 1 (*.f64 i (*.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))))))) i) (*.f64 i n)) (*.f64 i i)))
(*.f64 100 (sqrt.f64 (*.f64 n n)))
(*.f64 100 (sqrt.f64 (*.f64 n n)))
(*.f64 100 (pow.f64 (/.f64 1 n) -1))
Outputs
(-.f64 (+.f64 1 (*.f64 n 100)) 1)
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 100 (-.f64 (+.f64 1 n) 1))
Calls

2 calls:

55.0ms
n
48.0ms
i
Results
ErrorSegmentsBranch
17.3b3i
19.7b3n
Compiler

Compiled 512 to 337 computations (34.2% saved)

bsearch1.4s (5.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
1.1s
4.129519895469143e-133
2.8015839233883364e-123
294.0ms
-3.5161338060260786e-70
-3.158453336963207e-73
Compiler

Compiled 382 to 321 computations (16% saved)

regimes63.0ms (0.3%)

Counts
10 → 3
Calls
Call 1
Inputs
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(/.f64 100 (/.f64 1 n))
(*.f64 (/.f64 100 (/.f64 i n)) i)
(*.f64 100 (/.f64 1 (/.f64 1 n)))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(-.f64 (+.f64 1 (*.f64 n 100)) 1)
(/.f64 (*.f64 100 i) (/.f64 i n))
Outputs
(-.f64 (+.f64 1 (*.f64 n 100)) 1)
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(-.f64 (+.f64 1 (*.f64 n 100)) 1)
Calls

2 calls:

43.0ms
n
18.0ms
i
Results
ErrorSegmentsBranch
17.3b3i
18.7b5n
Compiler

Compiled 66 to 46 computations (30.3% saved)

bsearch1.5s (6.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
1.2s
4.129519895469143e-133
2.8015839233883364e-123
315.0ms
-3.5161338060260786e-70
-3.158453336963207e-73
Compiler

Compiled 382 to 321 computations (16% saved)

regimes31.0ms (0.1%)

Counts
8 → 3
Calls
Call 1
Inputs
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(/.f64 100 (/.f64 1 n))
(*.f64 (/.f64 100 (/.f64 i n)) i)
(*.f64 100 (/.f64 1 (/.f64 1 n)))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 100 (/.f64 (*.f64 n i) i))
Outputs
(*.f64 (/.f64 100 (/.f64 i n)) i)
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 (/.f64 100 (/.f64 i n)) i)
Calls

2 calls:

15.0ms
i
13.0ms
n
Results
ErrorSegmentsBranch
21.1b3i
21.3b3n
Compiler

Compiled 52 to 37 computations (28.8% saved)

bsearch367.0ms (1.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
147.0ms
4.050780004477295e-30
1.2652673387085518e-29
220.0ms
-2.0990268518080726e-14
-5.964115238689008e-20
Compiler

Compiled 302 to 225 computations (25.5% saved)

regimes26.0ms (0.1%)

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

2 calls:

13.0ms
n
12.0ms
i
Results
ErrorSegmentsBranch
21.3b3i
21.3b3n
Compiler

Compiled 38 to 28 computations (26.3% saved)

bsearch29.0ms (0.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
7.0ms
2.8018533377456026e-9
1.2718248836662735e+23
22.0ms
-2.2828491764442184e-7
-7.569895612664229e-8
Compiler

Compiled 54 to 39 computations (27.8% saved)

regimes9.0ms (0%)

Accuracy

Total -35.6b remaining (-134.5%)

Threshold costs -35.6b (-134.5%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 i -50)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(/.f64 100 (/.f64 1 n))
Outputs
(*.f64 n 100)
Calls

2 calls:

4.0ms
n
4.0ms
i
Results
ErrorSegmentsBranch
26.5b1i
26.5b1n
Compiler

Compiled 24 to 18 computations (25% saved)

simplify19.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
17×*-commutative_binary64
7×+-commutative_binary64
3×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081724
1108724
2111724
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 200000) (/.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) i) (-.f64 (+.f64 1 (*.f64 n 100)) 1)))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 200000) (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) (-.f64 (+.f64 1 (*.f64 n 100)) 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)) 200000) (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) (-.f64 (+.f64 1 (*.f64 n 100)) 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)))) (/.f64 i 100)) n) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 200000) (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) (-.f64 (+.f64 1 (*.f64 n 100)) 1)))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (*.f64 (*.f64 (/.f64 100 i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) n) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 200000) (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) (-.f64 (+.f64 1 (*.f64 n 100)) 1)))
(if (<=.f64 i 671300808259951/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n) (*.f64 100 (-.f64 (+.f64 1 n) 1)))
(if (<=.f64 i 671300808259951/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (*.f64 (/.f64 (expm1.f64 i) (/.f64 i 100)) n) (*.f64 100 (-.f64 (+.f64 1 n) 1)))
(if (<=.f64 i -174063132743425312/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (-.f64 (+.f64 1 (*.f64 n 100)) 1) (if (<=.f64 i 671300808259951/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (*.f64 100 (+.f64 n (*.f64 -1/2 i))) (*.f64 100 (-.f64 (+.f64 1 n) 1))))
(if (<=.f64 i -174063132743425312/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (-.f64 (+.f64 1 (*.f64 n 100)) 1) (if (<=.f64 i 671300808259951/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (*.f64 100 (+.f64 n (*.f64 -1/2 i))) (-.f64 (+.f64 1 (*.f64 n 100)) 1)))
(if (<=.f64 i -1624177331542419/79228162514264337593543950336) (*.f64 (/.f64 100 (/.f64 i n)) i) (if (<=.f64 i 6138306876789792768/1461501637330902918203684832716283019655932542976) (*.f64 100 (+.f64 n (*.f64 -1/2 i))) (*.f64 (/.f64 100 (/.f64 i n)) i)))
(if (<=.f64 i -944473296573929/9444732965739290427392) (*.f64 (/.f64 100 (/.f64 i n)) i) (if (<=.f64 i 1) (*.f64 n 100) (*.f64 (/.f64 100 (/.f64 i n)) i)))
(*.f64 n 100)
(*.f64 i -50)
Outputs
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 200000) (/.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) i) (-.f64 (+.f64 1 (*.f64 n 100)) 1)))
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 0) (*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 200000) (/.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) i) (+.f64 (+.f64 1 (*.f64 n 100)) -1)))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 200000) (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) (-.f64 (+.f64 1 (*.f64 n 100)) 1)))
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 0) (*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 200000) (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 100) (+.f64 (+.f64 1 (*.f64 n 100)) -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)) 200000) (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) (-.f64 (+.f64 1 (*.f64 n 100)) 1)))
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 0) (/.f64 (*.f64 100 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 i n)) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 200000) (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 100) (+.f64 (+.f64 1 (*.f64 n 100)) -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)))) (/.f64 i 100)) n) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 200000) (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) (-.f64 (+.f64 1 (*.f64 n 100)) 1)))
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 0) (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100))) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 200000) (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 100) (+.f64 (+.f64 1 (*.f64 n 100)) -1)))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (*.f64 (*.f64 (/.f64 100 i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) n) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 200000) (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) (-.f64 (+.f64 1 (*.f64 n 100)) 1)))
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 0) (*.f64 n (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 100 i))) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 200000) (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 100) (+.f64 (+.f64 1 (*.f64 n 100)) -1)))
(if (<=.f64 i 671300808259951/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n) (*.f64 100 (-.f64 (+.f64 1 n) 1)))
(if (<=.f64 i 671300808259951/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i))) (*.f64 100 (+.f64 (+.f64 1 n) -1)))
(if (<=.f64 i 671300808259951/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (*.f64 (/.f64 (expm1.f64 i) (/.f64 i 100)) n) (*.f64 100 (-.f64 (+.f64 1 n) 1)))
(if (<=.f64 i 671300808259951/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (*.f64 n (/.f64 (expm1.f64 i) (/.f64 i 100))) (*.f64 100 (+.f64 (+.f64 1 n) -1)))
(if (<=.f64 i -174063132743425312/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (-.f64 (+.f64 1 (*.f64 n 100)) 1) (if (<=.f64 i 671300808259951/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (*.f64 100 (+.f64 n (*.f64 -1/2 i))) (*.f64 100 (-.f64 (+.f64 1 n) 1))))
(if (<=.f64 i -5439472898232041/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408) (+.f64 (+.f64 1 (*.f64 n 100)) -1) (if (<=.f64 i 671300808259951/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (*.f64 100 (+.f64 n (*.f64 i -1/2))) (*.f64 100 (+.f64 (+.f64 1 n) -1))))
(if (<=.f64 i -174063132743425312/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (-.f64 (+.f64 1 (*.f64 n 100)) 1) (if (<=.f64 i 671300808259951/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (*.f64 100 (+.f64 n (*.f64 -1/2 i))) (-.f64 (+.f64 1 (*.f64 n 100)) 1)))
(if (<=.f64 i -5439472898232041/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408) (+.f64 (+.f64 1 (*.f64 n 100)) -1) (if (<=.f64 i 671300808259951/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (*.f64 100 (+.f64 n (*.f64 i -1/2))) (+.f64 (+.f64 1 (*.f64 n 100)) -1)))
(if (<=.f64 i -1624177331542419/79228162514264337593543950336) (*.f64 (/.f64 100 (/.f64 i n)) i) (if (<=.f64 i 6138306876789792768/1461501637330902918203684832716283019655932542976) (*.f64 100 (+.f64 n (*.f64 -1/2 i))) (*.f64 (/.f64 100 (/.f64 i n)) i)))
(if (<=.f64 i -1624177331542419/79228162514264337593543950336) (*.f64 i (/.f64 100 (/.f64 i n))) (if (<=.f64 i 749305038670629/178405961588244985132285746181186892047843328) (*.f64 100 (+.f64 n (*.f64 i -1/2))) (*.f64 i (/.f64 100 (/.f64 i n)))))
(if (<=.f64 i -944473296573929/9444732965739290427392) (*.f64 (/.f64 100 (/.f64 i n)) i) (if (<=.f64 i 1) (*.f64 n 100) (*.f64 (/.f64 100 (/.f64 i n)) i)))
(if (<=.f64 i -944473296573929/9444732965739290427392) (*.f64 i (/.f64 100 (/.f64 i n))) (if (<=.f64 i 1) (*.f64 n 100) (*.f64 i (/.f64 100 (/.f64 i n)))))
(*.f64 n 100)
(*.f64 i -50)
Compiler

Compiled 516 to 334 computations (35.3% saved)

soundness143.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
779×associate-/l*_binary64
701×fma-def_binary64
588×associate-/r*_binary64
561×associate-/r/_binary64
483×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01122
12922
26820
317220
453120
5239320
6726320
03655519
112215121
244624705
Stop Event
1×node limit
1×node limit
Compiler

Compiled 257 to 184 computations (28.4% saved)

end177.0ms (0.7%)

Compiler

Compiled 492 to 290 computations (41.1% saved)

Profiling

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