Details

Time bar (total: 25.5s)

analyze424.0ms (1.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.9%12.5%84.3%0.1%0%3.1%0%7
20.3%19.5%76.5%0.1%0%3.9%0%8
32.9%29.3%59.7%0.1%0.4%10.1%0.4%9
38.1%33.4%54.2%0.1%0.8%10.7%0.8%10
46.7%38.6%44.1%0.1%1.5%14.2%1.5%11
50.1%40.8%40.7%0.1%2%14.6%1.8%12
Compiler

Compiled 18 to 12 computations (33.3% saved)

sample7.3s (28.5%)

Results
3.2s1821×body2048valid
2.2s2762×body1024valid
595.0ms1165×body512valid
495.0ms2476×body256valid
215.0ms235×body512infinite
208.0ms605×body256infinite
150.0ms200×body1024infinite
96.0ms567×body256invalid
74.0ms32×body4096valid
38.0ms25×body2048infinite
Bogosity

preprocess54.0ms (0.2%)

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)

simplify47.0ms (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)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
46.7b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶46.7b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
▶46.8b
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
Compiler

Compiled 33 to 22 computations (33.3% saved)

localize21.0ms (0.1%)

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)))
✓1.6b
(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
✓5.2b
(pow.f64 (+.f64 1 (/.f64 i n)) n)
✓12.6b
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 58 to 29 computations (50% saved)

series29.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
3.0ms
n
@0
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
3.0ms
i
@-inf
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
3.0ms
i
@inf
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
3.0ms
i
@-inf
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
2.0ms
n
@inf
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))

rewrite169.0ms (0.7%)

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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simplify147.0ms (0.6%)

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))))))
(+.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 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)
(+.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))
(+.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))))) 1)) i) (/.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 (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))))) 1)) i) (+.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 (*.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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) 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 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 (*.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 (*.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 (+.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 (*.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 (+.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 (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))))))
1
(+.f64 1 i)
(+.f64 1 (+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 1 (+.f64 i (+.f64 (*.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 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))
(+.f64 (/.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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (/.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 (*.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 (*.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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (/.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)))))
(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))
(+.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) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))
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(*.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)
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1
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(/.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)))

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓1.6b
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
5.2b
(pow.f64 (+.f64 1 (/.f64 i n)) n)
✓13.3b
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
Compiler

Compiled 49 to 25 computations (49% saved)

series14.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
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
@0
(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)

rewrite76.0ms (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))))))

simplify110.0ms (0.4%)

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)))
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(/.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)))))
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(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))

eval759.0ms (3%)

Compiler

Compiled 29258 to 15410 computations (47.3% saved)

prune228.0ms (0.9%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New69622718
Fresh000
Picked101
Done011
Total69723720
Error
0.0b
Counts
720 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
51.9b
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
30.8b
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
▶29.1b
(*.f64 n 100)
▶43.4b
(*.f64 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))))))
18.2b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
46.5b
(/.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) i)
47.4b
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
44.7b
(*.f64 100 (/.f64 (+.f64 i (*.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 i n)))
31.7b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
▶18.1b
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
19.6b
(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))) 3)
✓46.7b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
30.2b
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
37.4b
(*.f64 100 (/.f64 i (/.f64 i n)))
18.4b
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n))
▶47.2b
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
22.7b
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
38.2b
(*.f64 (/.f64 n i) (*.f64 100 i))
46.8b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
46.8b
(+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))
46.8b
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i)))
29.7b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
▶18.3b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
Compiler

Compiled 705 to 485 computations (31.2% saved)

localize15.0ms (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)))
✓4.9b
(log1p.f64 (/.f64 i n))
✓12.3b
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
✓12.4b
(*.f64 n (log1p.f64 (/.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
n
@-inf
(*.f64 n (log1p.f64 (/.f64 i n)))
1.0ms
n
@inf
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
1.0ms
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
@0
(*.f64 n (log1p.f64 (/.f64 i n)))

rewrite141.0ms (0.6%)

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 n (log1p.f64 (/.f64 i n)))
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
(log1p.f64 (/.f64 i n))
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 n (log1p.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n)) 2)) (log.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n))) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (log1p.f64 (/.f64 i n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (log1p.f64 (/.f64 i n))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (log1p.f64 (/.f64 i n))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 2)) (cbrt.f64 (log.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (sqrt.f64 (log.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 n (log1p.f64 (/.f64 i n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n (log1p.f64 (/.f64 i n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 i n)) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))) (pow.f64 (cbrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))) 2) (cbrt.f64 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 2)) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (/.f64 n i)))))) (#(struct:change #<rule 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simplify121.0ms (0.5%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
03244287
110743990
240623798
Stop Event
1×node limit
Counts
242 → 284
Calls
Call 1
Inputs
(*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (/.f64 (pow.f64 n 2) i))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))))
i
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))))
i
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))))
i
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))))
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (/.f64 (pow.f64 n 2) i))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))))
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) (/.f64 (pow.f64 n 2) i))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))))
(/.f64 (*.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)))))))
(+.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 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)
(+.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))
(+.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))))) 1)) i) (/.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 (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))))) 1)) i) (+.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 (*.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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) 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 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 (*.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 (*.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 (+.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 (*.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 (+.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 i n)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (/.f64 i n))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 3))) (/.f64 i n)))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 3))) (/.f64 i n))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))
(+.f64 (/.f64 n i) (+.f64 (log.f64 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 i)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (+.f64 (/.f64 n i) (+.f64 (log.f64 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 i))))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 3) (pow.f64 i 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (+.f64 (/.f64 n i) (+.f64 (log.f64 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 i)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (+.f64 (log.f64 (neg.f64 (/.f64 1 n))) (/.f64 n i)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (+.f64 (log.f64 (neg.f64 (/.f64 1 n))) (/.f64 n i))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 3) (pow.f64 i 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (+.f64 (log.f64 (neg.f64 (/.f64 1 n))) (/.f64 n i)))))
(+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))
(+.f64 (*.f64 -1 (log.f64 n)) (+.f64 (/.f64 n i) (log.f64 i)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (+.f64 (*.f64 -1 (log.f64 n)) (+.f64 (/.f64 n i) (log.f64 i))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 3) (pow.f64 i 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (+.f64 (*.f64 -1 (log.f64 n)) (+.f64 (/.f64 n i) (log.f64 i)))))
(/.f64 i n)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (/.f64 i n))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 3))) (/.f64 i n)))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 3))) (/.f64 i n))))
(/.f64 i n)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (/.f64 i n))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 3))) (/.f64 i n)))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 3))) (/.f64 i n))))
(*.f64 100 (/.f64 (*.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 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))
(*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)))
(*.f64 n (-.f64 (log.f64 i) (log.f64 n)))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (/.f64 (pow.f64 n 2) i))
(fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (/.f64 (*.f64 n n) i))
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) (/.f64 n (/.f64 i n)))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))
(+.f64 (fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (/.f64 (*.f64 n n) i)) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i))))
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) (fma.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n (/.f64 i n))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))))
(fma.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (+.f64 (fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (/.f64 (*.f64 n n) i)) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)))))
(fma.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) (fma.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n (/.f64 i n)))))
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) (fma.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (fma.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n (/.f64 i n)))))
i
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i)
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) i)
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) i)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i))
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i))
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 1/3 (/.f64 (/.f64 (pow.f64 i 3) n) n) i))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))))
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i) (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)))))
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 1/3 (/.f64 (/.f64 (pow.f64 i 3) n) n) (fma.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)) i)))
i
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i)
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) i)
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) i)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i))
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i))
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 1/3 (/.f64 (/.f64 (pow.f64 i 3) n) n) i))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))))
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i) (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)))))
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 1/3 (/.f64 (/.f64 (pow.f64 i 3) n) n) (fma.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)) i)))
i
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i)
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) i)
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) i)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i))
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i))
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 1/3 (/.f64 (/.f64 (pow.f64 i 3) n) n) i))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))))
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i) (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)))))
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 1/3 (/.f64 (/.f64 (pow.f64 i 3) n) n) (fma.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)) i)))
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))
(*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)))
(*.f64 n (-.f64 (log.f64 i) (log.f64 n)))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (/.f64 (pow.f64 n 2) i))
(fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (/.f64 (*.f64 n n) i))
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) (/.f64 n (/.f64 i n)))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))
(+.f64 (fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (/.f64 (*.f64 n n) i)) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i))))
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) (fma.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n (/.f64 i n))))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))))
(fma.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (+.f64 (fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (/.f64 (*.f64 n n) i)) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)))))
(fma.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) (fma.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n (/.f64 i n)))))
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) (fma.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (fma.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n (/.f64 i n)))))
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))
(*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))
(*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) (/.f64 (pow.f64 n 2) i))
(fma.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))) (/.f64 (*.f64 n n) i))
(fma.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))) (/.f64 n (/.f64 i n)))
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))
(+.f64 (fma.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))) (/.f64 (*.f64 n n) i)) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i))))
(fma.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))) (fma.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n (/.f64 i n))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))))
(fma.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (+.f64 (fma.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))) (/.f64 (*.f64 n n) i)) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)))))
(fma.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (fma.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))) (fma.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n (/.f64 i n)))))
(/.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 (*.f64 1/2 (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))))
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(*.f64 100 (fma.f64 n (fma.f64 (*.f64 i i) (+.f64 1/6 (-.f64 (/.f64 (/.f64 1/3 n) n) (/.f64 1/2 n))) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n))
(*.f64 100 (fma.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (+.f64 1/6 (+.f64 (/.f64 (/.f64 1/3 n) n) (/.f64 -1/2 n))) i))) n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))))
(fma.f64 100 (*.f64 (*.f64 n (pow.f64 i 3)) (-.f64 (+.f64 1/24 (/.f64 11/24 (*.f64 n n))) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (fma.f64 100 (*.f64 (*.f64 n (*.f64 i i)) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))) (*.f64 100 (+.f64 n (*.f64 (*.f64 n i) (-.f64 1/2 (/.f64 1/2 n)))))))
(fma.f64 (*.f64 n (*.f64 (pow.f64 i 3) (+.f64 (/.f64 11/24 (*.f64 n n)) (-.f64 1/24 (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))))) 100 (*.f64 100 (fma.f64 n (fma.f64 (*.f64 i i) (+.f64 1/6 (-.f64 (/.f64 (/.f64 1/3 n) n) (/.f64 1/2 n))) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n)))
(*.f64 100 (+.f64 n (*.f64 n (+.f64 (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (+.f64 1/6 (+.f64 (/.f64 (/.f64 1/3 n) n) (/.f64 -1/2 n))) i))) (*.f64 (pow.f64 i 3) (+.f64 (/.f64 11/24 (*.f64 n n)) (-.f64 1/24 (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 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 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) 100)
(/.f64 (*.f64 n 100) (/.f64 i (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 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 (/.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 100 (+.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))))
(*.f64 (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))))) 100)
(*.f64 (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 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 (/.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))))
(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) (*.f64 100 (+.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) (/.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 (pow.f64 n 4) 1/2))))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 (pow.f64 n 4) 1/2)))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)))) (*.f64 (/.f64 n i) (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (*.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (fma.f64 (pow.f64 n 4) 1/2 (*.f64 -1/2 (pow.f64 n 3)))) (*.f64 i i))))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 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 (pow.f64 n 4) 1/2))))) (*.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 1/3 (pow.f64 n 4)))))))))))
(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 -1/2 (pow.f64 n 3) (*.f64 (pow.f64 n 4) 1/2)))) (*.f64 (/.f64 n (pow.f64 i 4)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 -1/2 (pow.f64 n 5) (*.f64 1/3 (pow.f64 n 4))))))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n i) (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (/.f64 (*.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (fma.f64 (pow.f64 n 4) 1/2 (*.f64 -1/2 (pow.f64 n 3)))) (*.f64 i i)))) (+.f64 (*.f64 (/.f64 n (pow.f64 i 4)) (*.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 -1/2 (pow.f64 n 5) (*.f64 1/3 (pow.f64 n 4)))))) (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 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 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) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (*.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 (pow.f64 n 4) 1/2)) (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 -1/2 (pow.f64 n 3) (*.f64 (pow.f64 n 4) 1/2)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))))))
(*.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 (/.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 4) 1/2 (*.f64 -1/2 (pow.f64 n 3)))) (*.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 (pow.f64 n 4) 1/2)) (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 -1/2 (pow.f64 n 3) (*.f64 (pow.f64 n 4) 1/2)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))))))) (/.f64 (*.f64 (*.f64 -100 n) (*.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 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4)))
(+.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 (/.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 4) 1/2 (*.f64 -1/2 (pow.f64 n 3)))) (*.f64 i i)))))) (/.f64 -100 (/.f64 (pow.f64 i 4) (*.f64 (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 -1/6 (pow.f64 n 6) (*.f64 1/2 (pow.f64 n 5)))) (*.f64 n (*.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)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 i (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))))
✓0.1b
(*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)))))
✓3.2b
(*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)))
✓22.0b
(*.f64 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))))))
Compiler

Compiled 71 to 41 computations (42.3% saved)

series28.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
3.0ms
n
@-inf
(*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)))
3.0ms
n
@0
(*.f64 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))))))
2.0ms
i
@inf
(*.f64 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))))))
2.0ms
i
@0
(*.f64 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))))))
2.0ms
n
@inf
(*.f64 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))))))

rewrite159.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
824×log-prod_binary64
514×fma-def_binary64
284×expm1-udef_binary64
284×log1p-udef_binary64
249×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01473
133167
2484067
Stop Event
1×node limit
Counts
4 → 213
Calls
Call 1
Inputs
(*.f64 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))))))
(*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)))))
(+.f64 i (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))))
Outputs
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fma.f64 i (*.f64 i 1/2) (fma.f64 (*.f64 i i) (/.f64 -1/2 n) i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 i i) 1/2 (fma.f64 (*.f64 i i) (/.f64 -1/2 n) i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 i i) (fma.f64 (*.f64 i i) (/.f64 -1/2 n) i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i i) i)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 1 i)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 i (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) i)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 i i) 1/2) (fma.f64 (*.f64 i i) (/.f64 -1/2 n) i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) (pow.f64 (cbrt.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 2) i)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 2) (cbrt.f64 (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) i)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 i 4)) (*.f64 (pow.f64 (cbrt.f64 i) 2) 1/2) (fma.f64 (*.f64 i i) (/.f64 -1/2 n) i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 i 4)) (*.f64 (pow.f64 (cbrt.f64 i) 2) (+.f64 1/2 (/.f64 -1/2 n))) i)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 i) (pow.f64 (cbrt.f64 i) 2) (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 i) 2) (cbrt.f64 i) (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 (cbrt.f64 i) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) i)))) (#(struct:change #<rule egg-rr> (2) ((x 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i) 2) i)))))

simplify137.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
834×unsub-neg_binary64
729×fma-def_binary64
443×associate-/r*_binary64
404×associate-/l/_binary64
366×associate-/r/_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0431458
11231338
23201338
310801241
431621235
563111231
Stop Event
1×node limit
Counts
309 → 249
Calls
Call 1
Inputs
(*.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 (*.f64 (+.f64 i (*.f64 1/2 (pow.f64 i 2))) n) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 i (*.f64 1/2 (pow.f64 i 2))) n) i)) (*.f64 -50 i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 i (*.f64 1/2 (pow.f64 i 2))) n) i)) (*.f64 -50 i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 i (*.f64 1/2 (pow.f64 i 2))) n) i)) (*.f64 -50 i))
(*.f64 100 (/.f64 (*.f64 (+.f64 i (*.f64 1/2 (pow.f64 i 2))) n) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 i (*.f64 1/2 (pow.f64 i 2))) n) i)) (*.f64 -50 i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 i (*.f64 1/2 (pow.f64 i 2))) n) i)) (*.f64 -50 i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 i (*.f64 1/2 (pow.f64 i 2))) n) i)) (*.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 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 -1/2 (/.f64 (pow.f64 i 2) n))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (*.f64 1/2 (pow.f64 i 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (*.f64 1/2 (pow.f64 i 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (*.f64 1/2 (pow.f64 i 2)))
(*.f64 1/2 (pow.f64 i 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (*.f64 1/2 (pow.f64 i 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (*.f64 1/2 (pow.f64 i 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (*.f64 1/2 (pow.f64 i 2)))
(*.f64 1/2 (pow.f64 i 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (*.f64 1/2 (pow.f64 i 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (*.f64 1/2 (pow.f64 i 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (*.f64 1/2 (pow.f64 i 2)))
(*.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 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.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 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.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 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.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 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.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 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.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 -50 (/.f64 (pow.f64 i 2) n))
(+.f64 (*.f64 -50 (/.f64 (pow.f64 i 2) n)) (*.f64 100 (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))
(+.f64 (*.f64 -50 (/.f64 (pow.f64 i 2) n)) (*.f64 100 (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))
(+.f64 (*.f64 -50 (/.f64 (pow.f64 i 2) n)) (*.f64 100 (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))
(*.f64 100 (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 (*.f64 -50 (/.f64 (pow.f64 i 2) n)) (*.f64 100 (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))
(+.f64 (*.f64 -50 (/.f64 (pow.f64 i 2) n)) (*.f64 100 (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))
(+.f64 (*.f64 -50 (/.f64 (pow.f64 i 2) n)) (*.f64 100 (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))
(*.f64 100 (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 (*.f64 -50 (/.f64 (pow.f64 i 2) n)) (*.f64 100 (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))
(+.f64 (*.f64 -50 (/.f64 (pow.f64 i 2) n)) (*.f64 100 (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))
(+.f64 (*.f64 -50 (/.f64 (pow.f64 i 2) n)) (*.f64 100 (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))
i
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(*.f64 -1/2 (/.f64 (pow.f64 i 2) n))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 i (*.f64 1/2 (pow.f64 i 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 i (*.f64 1/2 (pow.f64 i 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
Outputs
(*.f64 -50 i)
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(fma.f64 100 (*.f64 n (+.f64 1 (*.f64 i 1/2))) (*.f64 -50 i))
(fma.f64 -50 i (*.f64 n (*.f64 (fma.f64 i 1/2 1) 100)))
(fma.f64 -50 i (*.f64 100 (fma.f64 i (*.f64 n 1/2) n)))
(fma.f64 100 n (fma.f64 -50 i (*.f64 (*.f64 i n) 50)))
(fma.f64 -50 i (fma.f64 (*.f64 i n) 50 (*.f64 100 n)))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(fma.f64 100 (*.f64 n (+.f64 1 (*.f64 i 1/2))) (*.f64 -50 i))
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(+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))))
(*.f64 100 (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i))
(*.f64 100 (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i))
(*.f64 i (fma.f64 i (+.f64 50 (/.f64 -50 n)) 100))
(+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))))
(*.f64 100 (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i))
(*.f64 100 (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i))
(*.f64 i (fma.f64 i (+.f64 50 (/.f64 -50 n)) 100))
(*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(*.f64 (*.f64 100 (*.f64 i i)) (-.f64 1/2 (/.f64 1/2 n)))
(*.f64 100 (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))))
(*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (*.f64 i 100))
(*.f64 (*.f64 i i) (+.f64 50 (/.f64 -50 n)))
(*.f64 i (*.f64 i (+.f64 50 (/.f64 -50 n))))
(+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))))
(*.f64 100 (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i))
(*.f64 100 (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i))
(*.f64 i (fma.f64 i (+.f64 50 (/.f64 -50 n)) 100))
(+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))))
(*.f64 100 (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i))
(*.f64 100 (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i))
(*.f64 i (fma.f64 i (+.f64 50 (/.f64 -50 n)) 100))
(+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))))
(*.f64 100 (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i))
(*.f64 100 (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i))
(*.f64 i (fma.f64 i (+.f64 50 (/.f64 -50 n)) 100))
(*.f64 -50 (/.f64 (pow.f64 i 2) n))
(/.f64 (*.f64 -50 (*.f64 i i)) n)
(/.f64 (*.f64 (*.f64 -50 i) i) n)
(/.f64 (*.f64 i (*.f64 -50 i)) n)
(*.f64 -50 (*.f64 i (/.f64 i n)))
(+.f64 (*.f64 -50 (/.f64 (pow.f64 i 2) n)) (*.f64 100 (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))
(*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))))
(*.f64 100 (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i))
(*.f64 100 (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i))
(*.f64 i (fma.f64 i (+.f64 50 (/.f64 -50 n)) 100))
(+.f64 (*.f64 -50 (/.f64 (pow.f64 i 2) n)) (*.f64 100 (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))
(*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))))
(*.f64 100 (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i))
(*.f64 100 (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i))
(*.f64 i (fma.f64 i (+.f64 50 (/.f64 -50 n)) 100))
(+.f64 (*.f64 -50 (/.f64 (pow.f64 i 2) n)) (*.f64 100 (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))
(*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))))
(*.f64 100 (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i))
(*.f64 100 (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i))
(*.f64 i (fma.f64 i (+.f64 50 (/.f64 -50 n)) 100))
(*.f64 100 (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(*.f64 100 (+.f64 i (*.f64 1/2 (*.f64 i i))))
(*.f64 100 (fma.f64 1/2 (*.f64 i i) i))
(fma.f64 i 100 (*.f64 i (*.f64 i 50)))
(*.f64 i (+.f64 100 (*.f64 i 50)))
(+.f64 (*.f64 -50 (/.f64 (pow.f64 i 2) n)) (*.f64 100 (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))
(*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))))
(*.f64 100 (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i))
(*.f64 100 (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i))
(*.f64 i (fma.f64 i (+.f64 50 (/.f64 -50 n)) 100))
(+.f64 (*.f64 -50 (/.f64 (pow.f64 i 2) n)) (*.f64 100 (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))
(*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))))
(*.f64 100 (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i))
(*.f64 100 (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i))
(*.f64 i (fma.f64 i (+.f64 50 (/.f64 -50 n)) 100))
(+.f64 (*.f64 -50 (/.f64 (pow.f64 i 2) n)) (*.f64 100 (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))
(*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))))
(*.f64 100 (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i))
(*.f64 100 (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i))
(*.f64 i (fma.f64 i (+.f64 50 (/.f64 -50 n)) 100))
(*.f64 100 (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(*.f64 100 (+.f64 i (*.f64 1/2 (*.f64 i i))))
(*.f64 100 (fma.f64 1/2 (*.f64 i i) i))
(fma.f64 i 100 (*.f64 i (*.f64 i 50)))
(*.f64 i (+.f64 100 (*.f64 i 50)))
(+.f64 (*.f64 -50 (/.f64 (pow.f64 i 2) n)) (*.f64 100 (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))
(*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))))
(*.f64 100 (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i))
(*.f64 100 (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i))
(*.f64 i (fma.f64 i (+.f64 50 (/.f64 -50 n)) 100))
(+.f64 (*.f64 -50 (/.f64 (pow.f64 i 2) n)) (*.f64 100 (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))
(*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))))
(*.f64 100 (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i))
(*.f64 100 (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i))
(*.f64 i (fma.f64 i (+.f64 50 (/.f64 -50 n)) 100))
(+.f64 (*.f64 -50 (/.f64 (pow.f64 i 2) n)) (*.f64 100 (+.f64 i (*.f64 1/2 (pow.f64 i 2)))))
(*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))))
(*.f64 100 (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i))
(*.f64 100 (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i))
(*.f64 i (fma.f64 i (+.f64 50 (/.f64 -50 n)) 100))
i
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i)
(*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i)
(*.f64 i (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1))
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i)
(*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i)
(*.f64 i (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1))
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i)
(*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i)
(*.f64 i (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1))
(*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))
(*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i)
(*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i)
(*.f64 i (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1))
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i)
(*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i)
(*.f64 i (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1))
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i)
(*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i)
(*.f64 i (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1))
(*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))
(*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)))
(*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i)
(*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i)
(*.f64 i (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1))
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i)
(*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i)
(*.f64 i (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1))
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
(+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i)
(*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i)
(*.f64 i (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1))
(*.f64 -1/2 (/.f64 (pow.f64 i 2) n))
(*.f64 -1/2 (/.f64 (*.f64 i i) n))
(/.f64 (*.f64 (*.f64 -1/2 i) i) n)
(*.f64 i (*.f64 i (/.f64 -1/2 n)))
(*.f64 i (*.f64 -1/2 (/.f64 i n)))
(*.f64 (*.f64 i i) (/.f64 -1/2 n))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i)
(*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i)
(*.f64 i (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i)
(*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i)
(*.f64 i (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i)
(*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i)
(*.f64 i (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1))
(+.f64 i (*.f64 1/2 (pow.f64 i 2)))
(+.f64 i (*.f64 1/2 (*.f64 i i)))
(fma.f64 1/2 (*.f64 i i) i)
(*.f64 (fma.f64 i 1/2 1) i)
(fma.f64 i (*.f64 i 1/2) i)
(*.f64 i (fma.f64 i 1/2 1))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i)
(*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i)
(*.f64 i (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i)
(*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i)
(*.f64 i (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i)
(*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i)
(*.f64 i (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1))
(+.f64 i (*.f64 1/2 (pow.f64 i 2)))
(+.f64 i (*.f64 1/2 (*.f64 i i)))
(fma.f64 1/2 (*.f64 i i) i)
(*.f64 (fma.f64 i 1/2 1) i)
(fma.f64 i (*.f64 i 1/2) i)
(*.f64 i (fma.f64 i 1/2 1))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i)
(*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i)
(*.f64 i (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i)
(*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i)
(*.f64 i (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 i (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i)
(*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) i)
(*.f64 i (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1))

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 n (-.f64 (exp.f64 i) 1))
✓0.1b
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
✓0.2b
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
✓3.6b
(-.f64 (exp.f64 i) 1)
Compiler

Compiled 36 to 20 computations (44.4% saved)

series21.0ms (0.1%)

Counts
4 → 16
Calls

21 calls:

TimeVariablePointExpression
3.0ms
i
@0
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
2.0ms
i
@-inf
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
2.0ms
n
@0
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
1.0ms
i
@inf
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
1.0ms
n
@inf
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)

rewrite111.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
520×log-prod_binary64
401×exp-prod_binary64
316×pow-prod-down_binary64
258×pow2_binary64
185×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01030
121230
2277130
Stop Event
1×node limit
Counts
4 → 174
Calls
Call 1
Inputs
(-.f64 (exp.f64 i) 1)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n (-.f64 (exp.f64 i) 1))
Outputs
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(2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 n i) (expm1.f64 i))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 n i) (expm1.f64 i)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 n i) (expm1.f64 i)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 i (*.f64 (expm1.f64 i) n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 n i) (expm1.f64 i))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 n i)) (expm1.f64 i)) 100)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 n i)) (expm1.f64 i)) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 n i)) (expm1.f64 i)) 100))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 n i)) (expm1.f64 i)) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 i (*.f64 (*.f64 (expm1.f64 i) n) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (/.f64 i (*.f64 (expm1.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) 1) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) (sqrt.f64 i)) (sqrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n 100) (/.f64 i (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (expm1.f64 i) (neg.f64 n)) 100) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 n) (/.f64 i (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (*.f64 (expm1.f64 i) (neg.f64 n))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 n i) (expm1.f64 i))) 10) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 i (*.f64 (*.f64 (expm1.f64 i) n) 100)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)))) (sqrt.f64 (log.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 n i)) (expm1.f64 i)) 100))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 n i) (expm1.f64 i))) 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (expm1.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 i) n) (*.f64 -1 n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (exp.f64 i)) (*.f64 n -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 i)) n)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 i)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (expm1.f64 i)) n))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (expm1.f64 i)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 i) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 (*.f64 i 3)) n) (+.f64 (pow.f64 (exp.f64 i) 2) (+.f64 (exp.f64 i) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 (+.f64 i i)) n) (+.f64 (exp.f64 i) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (expm1.f64 (*.f64 i 3))) (+.f64 (pow.f64 (exp.f64 i) 2) (+.f64 (exp.f64 i) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (expm1.f64 (+.f64 i i))) (+.f64 (exp.f64 i) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 i) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (expm1.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 i) n) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 i) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (expm1.f64 i) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 i) n))) 2)) (cbrt.f64 (log.f64 (*.f64 (expm1.f64 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 i) n)))) (sqrt.f64 (log.f64 (*.f64 (expm1.f64 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (expm1.f64 i) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (expm1.f64 i)) n))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 i) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 i) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (expm1.f64 i) n))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (expm1.f64 i) n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (expm1.f64 i) n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 i) n)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 i) n (*.f64 -1 n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 n (exp.f64 i) (*.f64 n -1))))))

simplify139.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
952×*-commutative_binary64
887×unswap-sqr_binary64
626×distribute-rgt-in_binary64
618×distribute-lft-out_binary64
564×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
051256
1148248
2422230
31411209
43019206
53788206
64034206
74633206
85860206
96385206
107285206
Stop Event
1×node limit
Counts
190 → 204
Calls
Call 1
Inputs
i
(+.f64 i (*.f64 1/2 (pow.f64 i 2)))
(+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (+.f64 (*.f64 1/24 (pow.f64 i 4)) (*.f64 1/2 (pow.f64 i 2)))))
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 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 n i)
(+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2))))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2)))))
(+.f64 (*.f64 1/24 (*.f64 n (pow.f64 i 4))) (+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2))))))
Outputs
i
(+.f64 i (*.f64 1/2 (pow.f64 i 2)))
(+.f64 i (*.f64 1/2 (*.f64 i i)))
(fma.f64 1/2 (*.f64 i i) i)
(fma.f64 i (*.f64 i 1/2) i)
(+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (*.f64 1/2 (pow.f64 i 2))))
(fma.f64 1/6 (pow.f64 i 3) (+.f64 i (*.f64 1/2 (*.f64 i i))))
(fma.f64 1/6 (pow.f64 i 3) (fma.f64 1/2 (*.f64 i i) i))
(fma.f64 1/2 (*.f64 i i) (fma.f64 1/6 (pow.f64 i 3) i))
(fma.f64 i (*.f64 i 1/2) (fma.f64 1/6 (pow.f64 i 3) i))
(+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (+.f64 (*.f64 1/24 (pow.f64 i 4)) (*.f64 1/2 (pow.f64 i 2)))))
(fma.f64 1/6 (pow.f64 i 3) (+.f64 i (fma.f64 1/24 (pow.f64 i 4) (*.f64 1/2 (*.f64 i i)))))
(+.f64 (fma.f64 1/6 (pow.f64 i 3) (fma.f64 1/2 (*.f64 i i) i)) (*.f64 1/24 (pow.f64 i 4)))
(fma.f64 1/6 (pow.f64 i 3) (fma.f64 i (*.f64 i 1/2) (fma.f64 1/24 (pow.f64 i 4) i)))
(+.f64 i (*.f64 (*.f64 i i) (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24))))))
n
(+.f64 n (*.f64 1/2 (*.f64 n i)))
(+.f64 n (*.f64 1/2 (*.f64 i n)))
(fma.f64 1/2 (*.f64 i n) n)
(fma.f64 i (*.f64 1/2 n) n)
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (*.f64 1/2 (*.f64 n i))))
(fma.f64 1/6 (*.f64 (*.f64 i i) n) (+.f64 n (*.f64 1/2 (*.f64 i n))))
(fma.f64 1/6 (*.f64 i (*.f64 i n)) (fma.f64 1/2 (*.f64 i n) n))
(fma.f64 i (*.f64 1/2 n) (fma.f64 (*.f64 i i) (*.f64 1/6 n) n))
(+.f64 n (*.f64 (*.f64 i n) (+.f64 1/2 (*.f64 i 1/6))))
(+.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 (*.f64 i i) n) (+.f64 n (fma.f64 1/2 (*.f64 i n) (*.f64 1/24 (*.f64 (pow.f64 i 3) n)))))
(+.f64 (fma.f64 1/6 (*.f64 i (*.f64 i n)) (fma.f64 1/2 (*.f64 i n) n)) (*.f64 n (*.f64 (pow.f64 i 3) 1/24)))
(fma.f64 (*.f64 i i) (*.f64 1/6 n) (fma.f64 i (*.f64 1/2 n) (fma.f64 (pow.f64 i 3) (*.f64 1/24 n) n)))
(+.f64 n (*.f64 n (+.f64 (*.f64 i 1/2) (*.f64 (*.f64 i i) (+.f64 (*.f64 i 1/24) 1/6)))))
(+.f64 n (*.f64 (*.f64 i n) (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24))))))
(+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24)))))))
(*.f64 100 n)
(*.f64 n 100)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(fma.f64 50 (*.f64 i n) (*.f64 n 100))
(fma.f64 n 100 (*.f64 (*.f64 i n) 50))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(fma.f64 50 (*.f64 i n) (fma.f64 50/3 (*.f64 (*.f64 i i) n) (*.f64 n 100)))
(fma.f64 (*.f64 i n) 50 (fma.f64 n 100 (*.f64 (*.f64 i i) (*.f64 n 50/3))))
(fma.f64 i (*.f64 n 50) (*.f64 n (+.f64 100 (*.f64 i (*.f64 i 50/3)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i 50/3) 50))))
(*.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 i n) (fma.f64 25/6 (*.f64 (pow.f64 i 3) n) (fma.f64 50/3 (*.f64 (*.f64 i i) n) (*.f64 n 100))))
(fma.f64 (*.f64 i n) 50 (fma.f64 (*.f64 (pow.f64 i 3) n) 25/6 (fma.f64 n 100 (*.f64 (*.f64 i i) (*.f64 n 50/3)))))
(fma.f64 i (*.f64 n 50) (fma.f64 (*.f64 i i) (*.f64 n 50/3) (*.f64 n (+.f64 100 (*.f64 (pow.f64 i 3) 25/6)))))
(*.f64 n (+.f64 (+.f64 100 (*.f64 i 50)) (*.f64 (*.f64 i i) (+.f64 (*.f64 i 25/6) 50/3))))
(*.f64 n (+.f64 100 (+.f64 (*.f64 i 50) (*.f64 (*.f64 i i) (+.f64 50/3 (*.f64 i 25/6))))))
(*.f64 n (+.f64 100 (+.f64 (*.f64 (pow.f64 i 3) 25/6) (*.f64 i (+.f64 50 (*.f64 i 50/3))))))
(*.f64 n i)
(*.f64 i n)
(+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2))))
(fma.f64 n i (*.f64 1/2 (*.f64 (*.f64 i i) n)))
(fma.f64 i n (*.f64 1/2 (*.f64 i (*.f64 i n))))
(*.f64 i (fma.f64 i (*.f64 1/2 n) n))
(*.f64 i (fma.f64 1/2 (*.f64 i n) n))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2)))))
(fma.f64 1/6 (*.f64 (pow.f64 i 3) n) (fma.f64 n i (*.f64 1/2 (*.f64 (*.f64 i i) n))))
(fma.f64 1/6 (*.f64 (pow.f64 i 3) n) (fma.f64 i n (*.f64 1/2 (*.f64 i (*.f64 i n)))))
(fma.f64 i n (*.f64 n (*.f64 (*.f64 i i) (+.f64 1/2 (*.f64 i 1/6)))))
(*.f64 n (fma.f64 i (*.f64 i 1/2) (fma.f64 1/6 (pow.f64 i 3) i)))
(*.f64 n (fma.f64 1/2 (*.f64 i i) (fma.f64 1/6 (pow.f64 i 3) i)))
(+.f64 (*.f64 1/24 (*.f64 n (pow.f64 i 4))) (+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2))))))
(fma.f64 1/24 (*.f64 (pow.f64 i 4) n) (fma.f64 1/6 (*.f64 (pow.f64 i 3) n) (fma.f64 n i (*.f64 1/2 (*.f64 (*.f64 i i) n)))))
(fma.f64 1/24 (*.f64 (pow.f64 i 4) n) (fma.f64 1/6 (*.f64 (pow.f64 i 3) n) (fma.f64 i n (*.f64 1/2 (*.f64 i (*.f64 i n))))))
(+.f64 (*.f64 n (fma.f64 1/6 (pow.f64 i 3) i)) (*.f64 n (fma.f64 i (*.f64 i 1/2) (*.f64 1/24 (pow.f64 i 4)))))
(*.f64 n (fma.f64 1/6 (pow.f64 i 3) (fma.f64 i (*.f64 i 1/2) (fma.f64 1/24 (pow.f64 i 4) i))))
(*.f64 n (+.f64 i (*.f64 (*.f64 i i) (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24)))))))
(*.f64 (+.f64 i (*.f64 (*.f64 i i) (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24)))))) n)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n)
✓0.1b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
4.9b
(log1p.f64 (/.f64 i n))
12.4b
(*.f64 n (log1p.f64 (/.f64 i n)))
Compiler

Compiled 58 to 11 computations (81% saved)

series11.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite91.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
631×log-prod_binary64
385×pow-prod-down_binary64
297×pow2_binary64
253×pow-unpow_binary64
212×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01137
123137
2300337
Stop Event
1×node limit
Counts
2 → 53
Calls
Call 1
Inputs
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))))))) (#(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 i n)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))))))))) (#(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 i n))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) i)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10000 (pow.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 10000 (pow.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 10 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 n (/.f64 i (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 i (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 1) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (sqrt.f64 i)) (sqrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) n) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.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)))) (/.f64 i n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 i (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))) 2))))))

simplify131.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
858×times-frac_binary64
799×distribute-rgt-in_binary64
780×distribute-lft-in_binary64
309×fma-def_binary64
176×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02673085
18922862
233152697
Stop Event
1×node limit
Counts
101 → 136
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 (*.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)))))))
(+.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 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)
(+.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))
(+.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))))) 1)) i) (/.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 (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))))) 1)) i) (+.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 (*.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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) 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 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 (*.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 (*.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 (+.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 (*.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 (+.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)))))
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 (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 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 (*.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 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))) (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)) (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 n (/.f64 (/.f64 i (-.f64 (log.f64 i) (log.f64 n))) n))))) (*.f64 100 (*.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 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 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))) (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 (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 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)))
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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 (*.f64 n i) (-.f64 1/2 (/.f64 1/2 n)) n)
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(+.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))))) 1)) i) (+.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 (*.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 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) (+.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) (+.f64 (/.f64 (*.f64 (*.f64 n (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)))) (pow.f64 i 3)) (/.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)))))))))
(+.f64 (+.f64 (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) i))) (*.f64 (/.f64 n (pow.f64 i 4)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 (pow.f64 n 5) -1/2 (*.f64 (pow.f64 n 4) 1/3)))))) (*.f64 (/.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 (/.f64 n i) (+.f64 (fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) -1) (*.f64 (/.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) i) (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) i)))) (+.f64 (*.f64 (/.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 (*.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 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))))
(*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))))
(*.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 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 (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))))))) (/.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 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i)))
(+.f64 (*.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))))
(+.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 (*.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 (+.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 (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 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) (/.f64 (*.f64 (*.f64 n (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))) (pow.f64 i 3))))
(+.f64 (*.f64 (/.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) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i)) (/.f64 n (/.f64 (/.f64 (pow.f64 i 3) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4)))))))
(+.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 i) (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) i)))))
(+.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 (*.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 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3)))))
(fma.f64 -1 (/.f64 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 (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 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) (/.f64 (*.f64 (*.f64 n (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))) (pow.f64 i 3)))))
(-.f64 (+.f64 (*.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) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i)) (/.f64 n (/.f64 (/.f64 (pow.f64 i 3) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))))))) (/.f64 (*.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)) (pow.f64 i 4)))
(-.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 (*.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 i) (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) i))))) (*.f64 (/.f64 n (pow.f64 i 4)) (*.f64 (*.f64 (pow.f64 (/.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)))))))

eval454.0ms (1.8%)

Compiler

Compiled 24259 to 13538 computations (44.2% saved)

prune182.0ms (0.7%)

Pruning

31 alts after pruning (27 fresh and 4 done)

PrunedKeptTotal
New96218980
Fresh8917
Picked011
Done235
Total972311003
Error
0b
Counts
1003 → 31
Alt Table
Click to see full alt table
StatusErrorProgram
51.9b
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
▶62.2b
(*.f64 -50 i)
✓29.1b
(*.f64 n 100)
29.9b
(/.f64 n (/.f64 i (*.f64 100 (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i))))
29.6b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
46.5b
(/.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) i)
22.7b
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
31.0b
(*.f64 100 (/.f64 (*.f64 n (fma.f64 i (*.f64 i 1/2) i)) i))
▶18.5b
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
▶29.6b
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
30.6b
(*.f64 100 (/.f64 (*.f64 n i) i))
▶46.8b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
18.8b
(/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)
48.3b
(*.f64 100 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 i n)) (/.f64 n i)))
31.7b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
✓18.1b
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
19.6b
(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))) 3)
✓46.7b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
18.5b
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 i) n)))
46.8b
(+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))
18.8b
(/.f64 1 (/.f64 i (*.f64 (*.f64 (expm1.f64 i) n) 100)))
38.2b
(*.f64 (/.f64 n i) (*.f64 i 100))
29.7b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
29.6b
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
43.3b
(*.f64 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (/.f64 -1/2 n)))))
29.6b
(*.f64 n (+.f64 100 (*.f64 i 50)))
30.1b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (/.f64 i n))) i) n))
37.4b
(*.f64 100 (/.f64 i (/.f64 i n)))
46.8b
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i)))
▶18.2b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
✓18.3b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
Compiler

Compiled 816 to 560 computations (31.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)
4.9b
(log1p.f64 (/.f64 i n))
✓12.3b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
12.4b
(*.f64 n (log1p.f64 (/.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))

rewrite76.0ms (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))))))) 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100)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10000 (pow.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 10000 (pow.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) 1) 1))))))

simplify177.0ms (0.7%)

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))
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(*.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)
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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)))))))))
(*.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)))
(+.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 (/.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 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (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 (/.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)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) (*.f64 (/.f64 (exp.f64 i) i) (+.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 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) n))))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
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(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)))
(+.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)))))
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(fma.f64 -50 (*.f64 i (exp.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 -100 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))) (*.f64 n n))))))
(*.f64 100 n)
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(*.f64 100 (+.f64 (*.f64 (*.f64 n i) (-.f64 1/2 (/.f64 1/2 n))) n))
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(+.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))))))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 50 (*.f64 n i))
✓0.3b
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
Compiler

Compiled 26 to 14 computations (46.2% saved)

series22.0ms (0.1%)

Counts
2 → 15
Calls

12 calls:

TimeVariablePointExpression
17.0ms
n
@0
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
1.0ms
n
@inf
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
1.0ms
n
@-inf
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
1.0ms
i
@0
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
1.0ms
i
@inf
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))

rewrite111.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
467×log-prod_binary64
353×exp-prod_binary64
349×fma-def_binary64
334×prod-exp_binary64
298×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
119518
2250718
Stop Event
1×node limit
Counts
2 → 101
Calls
Call 1
Inputs
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 50 (*.f64 n i))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 2) (fma.f64 50 (*.f64 n i) (*.f64 -100 n))) (/.f64 (*.f64 (*.f64 n n) 10000) (fma.f64 50 (*.f64 n i) (*.f64 -100 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 50 (*.f64 n i) (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))) (pow.f64 (cbrt.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))) 2) (cbrt.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))) (sqrt.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 n 3) 1000000 (pow.f64 (*.f64 i (*.f64 50 n)) 3)) (/.f64 1 (fma.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 i (*.f64 50 n))) (pow.f64 (*.f64 i (*.f64 50 n)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 2) (*.f64 (*.f64 n n) 10000)) (/.f64 1 (fma.f64 50 (*.f64 n i) (*.f64 -100 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 i (*.f64 50 n))) (pow.f64 (*.f64 i (*.f64 50 n)) 2)) (fma.f64 (pow.f64 n 3) 1000000 (pow.f64 (*.f64 i (*.f64 50 n)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 50 (*.f64 n i) (*.f64 -100 n)) (-.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 2) (*.f64 (*.f64 n n) 10000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 n 3) 1000000 (pow.f64 (*.f64 i (*.f64 50 n)) 3)) (fma.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 i (*.f64 50 n))) (pow.f64 (*.f64 i (*.f64 50 n)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 n 3) 1000000 (pow.f64 (*.f64 i (*.f64 50 n)) 3)) (fma.f64 (*.f64 n n) 10000 (-.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 2) (*.f64 50 (*.f64 (*.f64 n i) (*.f64 n 100))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 2) (*.f64 (*.f64 n n) 10000)) (fma.f64 50 (*.f64 n i) (*.f64 -100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 n 3) 1000000 (pow.f64 (*.f64 i (*.f64 50 n)) 3))) (neg.f64 (fma.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 i (*.f64 50 n))) (pow.f64 (*.f64 i (*.f64 50 n)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 2) (*.f64 (*.f64 n n) 10000))) (neg.f64 (fma.f64 50 (*.f64 n i) (*.f64 -100 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 n n) 10000) (pow.f64 (*.f64 i (*.f64 50 n)) 2)) (-.f64 (*.f64 n 100) (*.f64 i (*.f64 50 n))))))) (#(struct:change #<rule 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10000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)))) 2)) (cbrt.f64 (log.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))))) (sqrt.f64 (log.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 i (*.f64 50 n)))) (pow.f64 (exp.f64 n) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 50) (*.f64 n i)) (+.f64 1 (expm1.f64 (*.f64 n 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 i (*.f64 50 n)))) (+.f64 1 (expm1.f64 (*.f64 n 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 n 100))) (pow.f64 (exp.f64 50) (*.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 n) 100) (+.f64 1 (expm1.f64 (*.f64 i (*.f64 50 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 n 100))) (+.f64 1 (expm1.f64 (*.f64 i (*.f64 50 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 50 (*.f64 n i) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 n 100 (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 n (*.f64 i 50) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 i (*.f64 50 n) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 n i) 50 (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 i (*.f64 50 n)) 1 (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 100 n (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 n 100) 1 (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 i (*.f64 50 n)) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 n 100) (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 n 100)) (cbrt.f64 (*.f64 (*.f64 n n) 10000)) (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 n n) 10000)) (cbrt.f64 (*.f64 n 100)) (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 n i)) 2) (*.f64 (cbrt.f64 (*.f64 n i)) 50) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 i (*.f64 50 n))) (pow.f64 (cbrt.f64 (*.f64 i (*.f64 50 n))) 2) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 i (*.f64 50 n))) 2) (cbrt.f64 (*.f64 i (*.f64 50 n))) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) 100) (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 n) 10) (*.f64 (sqrt.f64 n) 10) (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 n i)) (*.f64 (sqrt.f64 (*.f64 n i)) 50) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 i (*.f64 50 n))) (sqrt.f64 (*.f64 i (*.f64 50 n))) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) 100) (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 50 n) i (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n) (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (sqrt.f64 n)) (sqrt.f64 n) (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 50 i) n (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 50 (pow.f64 (cbrt.f64 (*.f64 n i)) 2)) (cbrt.f64 (*.f64 n i)) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 50 (sqrt.f64 (*.f64 n i))) (sqrt.f64 (*.f64 n i)) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 50 n) 1) i (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 50 n) (cbrt.f64 (*.f64 i i))) (cbrt.f64 i) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 50 n) (sqrt.f64 i)) (sqrt.f64 i) (*.f64 n 100))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 50) (*.f64 n i))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 50) (*.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 50) (*.f64 n i)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 50) (*.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 i (*.f64 50 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i (*.f64 50 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 i (*.f64 50 n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 i (*.f64 50 n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 i (*.f64 50 n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 i (*.f64 50 n)))) 2)) (cbrt.f64 (log.f64 (*.f64 i (*.f64 50 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 i (*.f64 50 n))))) (sqrt.f64 (log.f64 (*.f64 i (*.f64 50 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 50) (*.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 i (*.f64 50 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 i (*.f64 50 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 i (*.f64 50 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 i (*.f64 50 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 i (*.f64 50 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 i (*.f64 50 n)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 i (*.f64 50 n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 i (*.f64 50 n))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 i (*.f64 50 n))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 i) 1) (log.f64 (*.f64 50 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 50 n)) (*.f64 (log.f64 i) 1)))))))

simplify33.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
292×fma-def_binary64
157×fma-neg_binary64
52×cancel-sign-sub-inv_binary64
34×distribute-rgt-neg-in_binary64
32×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017138
140114
279114
3154114
4240114
5306114
6461114
7682114
8967114
91042114
101048114
Stop Event
1×saturated
Counts
116 → 108
Calls
Call 1
Inputs
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100)))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100)))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100)))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100)))
(*.f64 100 n)
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
Outputs
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 100 n)
(*.f64 n 100)
(*.f64 50 (*.f64 n i))
(*.f64 n (*.f64 50 i))
(*.f64 50 (*.f64 n i))
(*.f64 n (*.f64 50 i))

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 n (expm1.f64 i))
✓0.1b
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
✓6.0b
(/.f64 (*.f64 n (expm1.f64 i)) i)
Compiler

Compiled 25 to 8 computations (68% saved)

series10.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite73.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
893×pow1_binary64
832×add-log-exp_binary64
832×log1p-expm1-u_binary64
832×expm1-log1p-u_binary64
815×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
116827
2219727
Stop Event
1×node limit
Counts
3 → 76
Calls
Call 1
Inputs
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 n (expm1.f64 i))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 n i) (expm1.f64 i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (/.f64 1 (/.f64 i (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (*.f64 (expm1.f64 i) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 i) (*.f64 n (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (expm1.f64 i)) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 n i) (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2) (*.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 n i) (expm1.f64 i))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (expm1.f64 i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (expm1.f64 i))) 2) (cbrt.f64 (*.f64 (/.f64 n i) (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) (*.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 n i) (expm1.f64 i))) (sqrt.f64 (*.f64 (/.f64 n i) (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (neg.f64 (expm1.f64 i))) (/.f64 1 (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (*.f64 n (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n 1) (/.f64 (expm1.f64 i) i))))) (#(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 n i) (expm1.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2) 1) (/.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) 1) (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (pow.f64 (cbrt.f64 i) 2)) (/.f64 (expm1.f64 i) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) (pow.f64 (cbrt.f64 i) 2)) (/.f64 n (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 (*.f64 n (expm1.f64 i)) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (*.f64 (/.f64 n i) (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) (pow.f64 (cbrt.f64 i) 2)) (/.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (sqrt.f64 i)) (/.f64 (expm1.f64 i) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) (sqrt.f64 i)) (/.f64 n (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 i)) (/.f64 (*.f64 n (expm1.f64 i)) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 2) (sqrt.f64 i)) (/.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (expm1.f64 i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 n i) (expm1.f64 i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 i (*.f64 n (expm1.f64 i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 n (expm1.f64 i)) (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 n i) (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 n (expm1.f64 i)) 3) (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 n i) (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 n i) (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 n i) (expm1.f64 i))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 i (*.f64 (*.f64 n (expm1.f64 i)) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n (expm1.f64 i)) 100) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 n (expm1.f64 i)) 100)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) 100) 1) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) 100) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 n (expm1.f64 i)) 100) (sqrt.f64 i)) (sqrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n 100) (/.f64 i (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n (neg.f64 (expm1.f64 i))) 100) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 n) (/.f64 i (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (*.f64 n (neg.f64 (expm1.f64 i)))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 n i) (expm1.f64 i))) 10) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 2) 10000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 (/.f64 n i) (expm1.f64 i))) 100))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 n (expm1.f64 i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (expm1.f64 i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (expm1.f64 i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n (expm1.f64 i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 n (expm1.f64 i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 n (expm1.f64 i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 n) (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n (expm1.f64 i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (expm1.f64 i) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (expm1.f64 i) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 n (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 n (expm1.f64 i))))))))

simplify110.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
721×distribute-rgt-out_binary64
652×associate-*l*_binary64
643×times-frac_binary64
500×distribute-lft-in_binary64
460×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049744
1141740
2389726
31352707
43821707
55794707
Stop Event
1×node limit
Counts
148 → 104
Calls
Call 1
Inputs
(/.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)
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 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 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 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n i)
(+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2))))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2)))))
(+.f64 (*.f64 1/24 (*.f64 n (pow.f64 i 4))) (+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2))))))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
Outputs
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
n
(+.f64 n (*.f64 1/2 (*.f64 n i)))
(fma.f64 1/2 (*.f64 n i) n)
(fma.f64 i (*.f64 n 1/2) n)
(fma.f64 n (*.f64 i 1/2) n)
(+.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 1/6 (*.f64 i i)) (fma.f64 i (*.f64 n 1/2) n))
(+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6)))))
(+.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 1/6 (*.f64 i i)) (fma.f64 n (*.f64 1/24 (pow.f64 i 3)) (fma.f64 i (*.f64 n 1/2) n)))
(+.f64 n (*.f64 n (+.f64 (*.f64 1/24 (pow.f64 i 3)) (*.f64 i (+.f64 1/2 (*.f64 i 1/6))))))
(*.f64 n (+.f64 (+.f64 1 (*.f64 i 1/2)) (*.f64 (*.f64 i i) (+.f64 1/6 (*.f64 i 1/24)))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n 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 i (*.f64 n 50)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(+.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 100 (*.f64 i (+.f64 (*.f64 n 50) (*.f64 i (*.f64 n 50/3)))))
(*.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 100 (*.f64 i (+.f64 (*.f64 n 50) (*.f64 i (*.f64 n 50/3))))))
(*.f64 n (+.f64 (+.f64 100 (*.f64 i 50)) (*.f64 (*.f64 i i) (+.f64 (*.f64 i 25/6) 50/3))))
(*.f64 n (+.f64 (*.f64 (pow.f64 i 3) 25/6) (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i)))
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n i)
(+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2))))
(fma.f64 n i (*.f64 1/2 (*.f64 n (*.f64 i i))))
(fma.f64 1/2 (*.f64 n (*.f64 i i)) (*.f64 n i))
(*.f64 i (fma.f64 i (*.f64 n 1/2) n))
(*.f64 i (fma.f64 n (*.f64 i 1/2) n))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2)))))
(fma.f64 1/6 (*.f64 n (pow.f64 i 3)) (fma.f64 n i (*.f64 1/2 (*.f64 n (*.f64 i i)))))
(fma.f64 1/6 (*.f64 n (pow.f64 i 3)) (fma.f64 1/2 (*.f64 n (*.f64 i i)) (*.f64 n i)))
(fma.f64 n (*.f64 1/6 (pow.f64 i 3)) (*.f64 i (fma.f64 i (*.f64 n 1/2) n)))
(*.f64 n (+.f64 i (*.f64 i (*.f64 i (+.f64 1/2 (*.f64 i 1/6))))))
(+.f64 (*.f64 1/24 (*.f64 n (pow.f64 i 4))) (+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2))))))
(fma.f64 1/24 (*.f64 n (pow.f64 i 4)) (fma.f64 1/6 (*.f64 n (pow.f64 i 3)) (fma.f64 n i (*.f64 1/2 (*.f64 n (*.f64 i i))))))
(fma.f64 1/24 (*.f64 n (pow.f64 i 4)) (fma.f64 1/6 (*.f64 n (pow.f64 i 3)) (fma.f64 1/2 (*.f64 n (*.f64 i i)) (*.f64 n i))))
(fma.f64 n (*.f64 1/6 (pow.f64 i 3)) (fma.f64 n (*.f64 1/24 (pow.f64 i 4)) (*.f64 i (fma.f64 i (*.f64 n 1/2) n))))
(*.f64 n (+.f64 (*.f64 (pow.f64 i 3) (+.f64 (*.f64 i 1/24) 1/6)) (+.f64 i (*.f64 i (*.f64 i 1/2)))))
(*.f64 n (+.f64 i (+.f64 (*.f64 i (*.f64 i 1/2)) (*.f64 (pow.f64 i 3) (+.f64 1/6 (*.f64 i 1/24))))))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))

localize24.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓1.6b
(+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)
5.2b
(pow.f64 (+.f64 1 (/.f64 i n)) n)
✓13.3b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
Compiler

Compiled 60 to 32 computations (46.7% saved)

series119.0ms (0.5%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
112.0ms
i
@-inf
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
1.0ms
n
@0
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
1.0ms
i
@inf
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
1.0ms
i
@-inf
(+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)
1.0ms
i
@0
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))

rewrite248.0ms (1%)

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

Useful iterations: 0 (0.0ms)

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

simplify127.0ms (0.5%)

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
171 → 206
Calls
Call 1
Inputs
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i)))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))))))
(*.f64 100 n)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i)
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i) (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i)
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i) (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))))))
(*.f64 100 i)
(+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (+.f64 (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 4) (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))))))))
(-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))) 100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))) 100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)) (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4))))) (pow.f64 i 3)))))) 100)
(-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))))) 100)
(*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))))
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100)
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100)
Outputs
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (fma.f64 -1 (log.f64 n) (log.f64 i)))) i)
(*.f64 100 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i))
(*.f64 100 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))
(*.f64 100 (+.f64 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3)))))
(*.f64 100 (+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3)))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 (pow.f64 n 3) i) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i))))
(fma.f64 100 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (*.f64 100 (+.f64 (/.f64 (pow.f64 n 4) (/.f64 i (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i))))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))))))
(*.f64 100 (+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i) (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i)))))))
(*.f64 100 (+.f64 (+.f64 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 (pow.f64 n 3) i) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 (/.f64 -1/2 i) i))))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))))
(fma.f64 100 (/.f64 (pow.f64 n 5) (/.f64 i (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i) (fma.f64 1/24 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 4) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i)))))))) (fma.f64 100 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (*.f64 100 (+.f64 (/.f64 (pow.f64 n 4) (/.f64 i (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i))))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3)))))))
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 5) i) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (fma.f64 1/24 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))) (*.f64 100 (+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i) (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i))))))))
(*.f64 100 (+.f64 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 (/.f64 -1/2 i) i))))) (+.f64 (*.f64 (/.f64 (pow.f64 n 5) i) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (fma.f64 1/24 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 n (/.f64 i (fma.f64 100 (exp.f64 i) -100)))
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (/.f64 n (/.f64 i (fma.f64 100 (exp.f64 i) -100))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) i)) (/.f64 n (/.f64 i (fma.f64 100 (exp.f64 i) -100)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) i)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (/.f64 (*.f64 (*.f64 n n) i) (exp.f64 i))) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) i)) (/.f64 n (/.f64 i (fma.f64 100 (exp.f64 i) -100))))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) i)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))))
(+.f64 (*.f64 100 (*.f64 (/.f64 (exp.f64 i) i) (+.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (*.f64 n n)) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)))) (fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 n (/.f64 i (fma.f64 100 (exp.f64 i) -100)))
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (/.f64 n (/.f64 i (fma.f64 100 (exp.f64 i) -100))))
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(+.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))

eval545.0ms (2.1%)

Compiler

Compiled 20437 to 11903 computations (41.8% saved)

prune150.0ms (0.6%)

Pruning

33 alts after pruning (24 fresh and 9 done)

PrunedKeptTotal
New74811759
Fresh91322
Picked011
Done088
Total75733790
Error
0b
Counts
790 → 33
Alt Table
Click to see full alt table
StatusErrorProgram
▶60.1b
(*.f64 n (*.f64 50 i))
51.9b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
29.6b
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
▶29.6b
(fma.f64 n 100 (*.f64 i (*.f64 50 n)))
✓62.2b
(*.f64 -50 i)
✓29.1b
(*.f64 n 100)
37.5b
(/.f64 (*.f64 100 i) (/.f64 i n))
43.3b
(*.f64 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (/.f64 -1/2 n)))))
30.6b
(*.f64 100 (/.f64 (*.f64 n i) i))
22.7b
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
31.0b
(*.f64 100 (/.f64 (*.f64 n (fma.f64 i (*.f64 i 1/2) i)) i))
19.0b
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
✓18.5b
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
✓29.6b
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
✓46.8b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
▶29.6b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
30.1b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (/.f64 i n))) i) n))
18.8b
(/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)
▶48.3b
(*.f64 100 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 i n)) (/.f64 n i)))
31.7b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
✓18.1b
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
✓46.7b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
29.6b
(*.f64 n (+.f64 100 (*.f64 i 50)))
▶18.5b
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 i) n)))
46.8b
(+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))
18.8b
(/.f64 1 (/.f64 i (*.f64 (*.f64 (expm1.f64 i) n) 100)))
31.5b
(*.f64 100 (/.f64 (-.f64 (+.f64 1 (*.f64 n (expm1.f64 i))) 1) i))
46.8b
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i)))
38.2b
(*.f64 (/.f64 n i) (*.f64 i 100))
29.7b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
46.5b
(/.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) i)
✓18.2b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
✓18.3b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
Compiler

Compiled 782 to 538 computations (31.2% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (expm1.f64 i) n)
✓0.3b
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 i) n)))
✓6.1b
(/.f64 i (*.f64 (expm1.f64 i) n))
Compiler

Compiled 25 to 8 computations (68% saved)

series8.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite93.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
940×pow1_binary64
880×add-log-exp_binary64
880×log1p-expm1-u_binary64
880×expm1-log1p-u_binary64
862×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
117527
2236127
Stop Event
1×node limit
Counts
3 → 80
Calls
Call 1
Inputs
(/.f64 i (*.f64 (expm1.f64 i) n))
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 i) n)))
(*.f64 (expm1.f64 i) n)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 i (*.f64 (expm1.f64 i) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 i (/.f64 1 (*.f64 (expm1.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 i (*.f64 (expm1.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 (cbrt.f64 i) (/.f64 1 (*.f64 (expm1.f64 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 i (*.f64 (expm1.f64 i) n))) (pow.f64 (cbrt.f64 (/.f64 i (*.f64 (expm1.f64 i) n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 i (*.f64 (expm1.f64 i) n))) 2) (cbrt.f64 (/.f64 i (*.f64 (expm1.f64 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 i) (*.f64 (sqrt.f64 i) (/.f64 1 (*.f64 (expm1.f64 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 i (*.f64 (expm1.f64 i) n))) (sqrt.f64 (/.f64 i (*.f64 (expm1.f64 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 i) (/.f64 1 (*.f64 n (neg.f64 (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (expm1.f64 i) n)) i)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i (expm1.f64 i)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) 1) (/.f64 (cbrt.f64 i) (*.f64 (expm1.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 i) 1) (/.f64 (sqrt.f64 i) (*.f64 (expm1.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 i) (expm1.f64 i)) (/.f64 (sqrt.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 i)) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (expm1.f64 i)) (/.f64 (cbrt.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 i) n) (/.f64 (sqrt.f64 i) (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (/.f64 i (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) n) (/.f64 (cbrt.f64 i) (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) n)) 2)) (/.f64 i (cbrt.f64 (*.f64 (expm1.f64 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) n)) 2)) (cbrt.f64 (/.f64 i (*.f64 (expm1.f64 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 i) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) n)) 2)) (/.f64 (sqrt.f64 i) (cbrt.f64 (*.f64 (expm1.f64 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (expm1.f64 i) n))) (/.f64 i (sqrt.f64 (*.f64 (expm1.f64 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (sqrt.f64 (*.f64 (expm1.f64 i) n))) (/.f64 (cbrt.f64 i) (sqrt.f64 (*.f64 (expm1.f64 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 i (*.f64 (expm1.f64 i) n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 i (*.f64 (expm1.f64 i) n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 i (*.f64 n (neg.f64 (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 i (*.f64 (expm1.f64 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 i 3) (pow.f64 (*.f64 (expm1.f64 i) n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 i (*.f64 (expm1.f64 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 i (*.f64 (expm1.f64 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 i (*.f64 (expm1.f64 i) n))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 (expm1.f64 i) n) (/.f64 100 i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 i) n) (/.f64 100 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (expm1.f64 i) n) (/.f64 100 i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 (expm1.f64 i) n) (/.f64 100 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 (expm1.f64 i) n) (/.f64 100 i))) (cbrt.f64 (/.f64 10000 (pow.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 10000 (pow.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) 2))) (cbrt.f64 (*.f64 (*.f64 (expm1.f64 i) n) (/.f64 100 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 10 (sqrt.f64 (/.f64 (expm1.f64 i) (/.f64 i n)))) (*.f64 10 (sqrt.f64 (/.f64 (expm1.f64 i) (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -100 (/.f64 1 (/.f64 (neg.f64 i) (*.f64 (expm1.f64 i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 i) (*.f64 (expm1.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (neg.f64 i)) (*.f64 n (neg.f64 (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (/.f64 i (expm1.f64 i))) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 100 i) (expm1.f64 i)) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 100 i) n) (expm1.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 100 i) 1) (*.f64 (expm1.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 100 i) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) n)) 2)) (cbrt.f64 (*.f64 (expm1.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 100 i) (sqrt.f64 (*.f64 (expm1.f64 i) n))) (sqrt.f64 (*.f64 (expm1.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (expm1.f64 i) n) (/.f64 100 i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (expm1.f64 i) n) (/.f64 100 i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (expm1.f64 i) n) (/.f64 100 i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10 (sqrt.f64 (/.f64 (expm1.f64 i) (/.f64 i n)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) 1/100) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 10000 (pow.f64 (/.f64 i (*.f64 (expm1.f64 i) n)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 100 i)) (*.f64 (expm1.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (expm1.f64 i) n) (/.f64 100 i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (expm1.f64 i) n) (/.f64 100 i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (expm1.f64 i) n) (/.f64 100 i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (expm1.f64 i) n) (/.f64 100 i))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (expm1.f64 i) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 i) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 i) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (expm1.f64 i) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (expm1.f64 i) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (expm1.f64 i)) n))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 i) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (expm1.f64 i) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (expm1.f64 i) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 i) n)))))))

simplify76.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
645×times-frac_binary64
608×distribute-rgt-out_binary64
594×associate-*l*_binary64
458×associate-*r*_binary64
431×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
058756
1155754
2389746
31248728
43950727
56983727
Stop Event
1×node limit
Counts
152 → 108
Calls
Call 1
Inputs
(/.f64 1 n)
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n))))
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 -1/720 (/.f64 (pow.f64 i 4) n)))))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(*.f64 100 n)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 n i)
(+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2))))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2)))))
(+.f64 (*.f64 1/24 (*.f64 n (pow.f64 i 4))) (+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2))))))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (-.f64 (exp.f64 i) 1))
Outputs
(/.f64 1 n)
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))
(fma.f64 -1/2 (/.f64 i n) (/.f64 1 n))
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n))))
(+.f64 (/.f64 1 n) (fma.f64 1/12 (/.f64 (*.f64 i i) n) (*.f64 -1/2 (/.f64 i n))))
(+.f64 (/.f64 1 n) (fma.f64 1/12 (/.f64 i (/.f64 n i)) (*.f64 -1/2 (/.f64 i n))))
(fma.f64 -1/2 (/.f64 i n) (fma.f64 1/12 (*.f64 (/.f64 i n) i) (/.f64 1 n)))
(fma.f64 -1/2 (/.f64 i n) (fma.f64 1/12 (/.f64 i (/.f64 n i)) (/.f64 1 n)))
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 -1/720 (/.f64 (pow.f64 i 4) n)))))
(+.f64 (/.f64 1 n) (fma.f64 1/12 (/.f64 (*.f64 i i) n) (fma.f64 -1/2 (/.f64 i n) (*.f64 -1/720 (/.f64 (pow.f64 i 4) n)))))
(+.f64 (/.f64 1 n) (fma.f64 1/12 (/.f64 i (/.f64 n i)) (fma.f64 -1/720 (/.f64 (pow.f64 i 4) n) (*.f64 -1/2 (/.f64 i n)))))
(+.f64 (/.f64 1 n) (fma.f64 1/12 (*.f64 (/.f64 i n) i) (fma.f64 -1/2 (/.f64 i n) (*.f64 -1/720 (/.f64 (pow.f64 i 4) n)))))
(+.f64 (/.f64 1 n) (fma.f64 1/12 (/.f64 i (/.f64 n i)) (fma.f64 -1/2 (/.f64 i n) (*.f64 -1/720 (/.f64 (pow.f64 i 4) n)))))
(+.f64 (/.f64 1 n) (fma.f64 -1/720 (/.f64 (pow.f64 i 4) n) (*.f64 i (+.f64 (/.f64 -1/2 n) (*.f64 1/12 (/.f64 i n))))))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (expm1.f64 i))
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))
(/.f64 i (*.f64 n (expm1.f64 i)))
(/.f64 (/.f64 i n) (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))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(+.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 50 (*.f64 n i) (fma.f64 50/3 (*.f64 i (*.f64 n i)) (*.f64 n 100)))
(fma.f64 n 100 (*.f64 n (+.f64 (*.f64 i 50) (*.f64 i (*.f64 i 50/3)))))
(*.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 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 50/3 (*.f64 i (*.f64 n i)) (*.f64 n 100))))
(fma.f64 n (*.f64 25/6 (pow.f64 i 3)) (fma.f64 n 100 (*.f64 n (+.f64 (*.f64 i 50) (*.f64 i (*.f64 i 50/3))))))
(*.f64 n (+.f64 (+.f64 100 (*.f64 i 50)) (*.f64 (*.f64 i i) (+.f64 50/3 (*.f64 i 25/6)))))
(*.f64 n (+.f64 100 (+.f64 (*.f64 25/6 (pow.f64 i 3)) (*.f64 i (+.f64 50 (*.f64 i 50/3))))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 (expm1.f64 i) (/.f64 (/.f64 i n) 100))
(*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))
(*.f64 n i)
(+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2))))
(fma.f64 n i (*.f64 (*.f64 1/2 n) (*.f64 i i)))
(fma.f64 n i (*.f64 (*.f64 i (*.f64 n i)) 1/2))
(*.f64 i (+.f64 n (*.f64 1/2 (*.f64 n i))))
(*.f64 n (+.f64 i (*.f64 i (*.f64 i 1/2))))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2)))))
(fma.f64 1/6 (*.f64 n (pow.f64 i 3)) (fma.f64 n i (*.f64 (*.f64 1/2 n) (*.f64 i i))))
(fma.f64 (*.f64 n (pow.f64 i 3)) 1/6 (fma.f64 n i (*.f64 (*.f64 i (*.f64 n i)) 1/2)))
(fma.f64 n (*.f64 (pow.f64 i 3) 1/6) (*.f64 i (+.f64 n (*.f64 1/2 (*.f64 n i)))))
(*.f64 n (+.f64 i (*.f64 (*.f64 i i) (+.f64 1/2 (*.f64 i 1/6)))))
(+.f64 (*.f64 1/24 (*.f64 n (pow.f64 i 4))) (+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 n i) (*.f64 1/2 (*.f64 n (pow.f64 i 2))))))
(fma.f64 1/24 (*.f64 n (pow.f64 i 4)) (fma.f64 1/6 (*.f64 n (pow.f64 i 3)) (fma.f64 n i (*.f64 (*.f64 1/2 n) (*.f64 i i)))))
(fma.f64 1/24 (*.f64 n (pow.f64 i 4)) (fma.f64 (*.f64 n (pow.f64 i 3)) 1/6 (fma.f64 n i (*.f64 (*.f64 i (*.f64 n i)) 1/2))))
(fma.f64 n (*.f64 (pow.f64 i 3) 1/6) (fma.f64 n (*.f64 (pow.f64 i 4) 1/24) (*.f64 i (+.f64 n (*.f64 1/2 (*.f64 n i))))))
(*.f64 n (+.f64 (+.f64 i (*.f64 i (*.f64 i 1/2))) (*.f64 (pow.f64 i 3) (+.f64 1/6 (*.f64 i 1/24)))))
(*.f64 n (+.f64 (*.f64 (pow.f64 i 3) (+.f64 1/6 (*.f64 i 1/24))) (+.f64 i (*.f64 i (*.f64 i 1/2)))))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))
(*.f64 n (-.f64 (exp.f64 i) 1))
(*.f64 n (expm1.f64 i))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 n (*.f64 50 i))
Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
n
@0
(*.f64 n (*.f64 50 i))
0.0ms
n
@inf
(*.f64 n (*.f64 50 i))
0.0ms
i
@inf
(*.f64 n (*.f64 50 i))
0.0ms
n
@-inf
(*.f64 n (*.f64 50 i))
0.0ms
i
@-inf
(*.f64 n (*.f64 50 i))

rewrite43.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
555×pow1_binary64
512×add-log-exp_binary64
512×log1p-expm1-u_binary64
512×expm1-log1p-u_binary64
502×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11217
213947
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 n (*.f64 50 i))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 n (*.f64 50 i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (*.f64 50 i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (*.f64 50 i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n (*.f64 50 i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 n (*.f64 50 i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 n (*.f64 50 i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 n) (*.f64 50 i)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n (*.f64 50 i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n (*.f64 50 i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 n (*.f64 50 i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 n (*.f64 50 i))))))))

simplify11.0ms (0%)

Algorithm
1×egg-herbie
Rules
5×*-commutative_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
110168
217168
319168
Stop Event
1×saturated
Counts
35 → 12
Calls
Call 1
Inputs
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
Outputs
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 50 (*.f64 i 50/3))
✓0.0b
(*.f64 i (+.f64 50 (*.f64 i 50/3)))
✓0.4b
(*.f64 i 50/3)
✓1.6b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
Compiler

Compiled 42 to 31 computations (26.2% saved)

series14.0ms (0.1%)

Counts
4 → 60
Calls

15 calls:

TimeVariablePointExpression
7.0ms
i
@inf
(+.f64 50 (*.f64 i 50/3))
1.0ms
n
@0
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
1.0ms
n
@inf
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
1.0ms
i
@-inf
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
1.0ms
i
@inf
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))

rewrite81.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
582×log-prod_binary64
568×prod-diff_binary64
322×pow2_binary64
322×fma-def_binary64
224×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01137
125529
2348729
Stop Event
1×node limit
Counts
4 → 174
Calls
Call 1
Inputs
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 i 50/3)
(*.f64 i (+.f64 50 (*.f64 i 50/3)))
(+.f64 50 (*.f64 i 50/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n 100) (*.f64 (fma.f64 i 50/3 50) (*.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 i 50/3 50) (*.f64 i n)) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 n (fma.f64 i (fma.f64 i 50/3 50) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 n 100) 1) (*.f64 (*.f64 (fma.f64 i 50/3 50) (*.f64 i n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (fma.f64 i (fma.f64 i 50/3 50) 100))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (fma.f64 i (fma.f64 i 50/3 50) 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (fma.f64 i (fma.f64 i 50/3 50) 100)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (fma.f64 i (fma.f64 i 50/3 50) 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 n (fma.f64 i (fma.f64 i 50/3 50) 100)))) 1)))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 i 50/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 50/3) i)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 50/3) i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 50/3) i))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 50/3) i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 i 50/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i 50/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2500/9 (*.f64 i i)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 i 50/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 i 50/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 125000/27 (pow.f64 i 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2500/9 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 50/3) i))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 i 50/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 125000/27 (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 i 50/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 i 50/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 i 50/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 i 50/3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 i 50) (*.f64 50/3 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 50/3 (*.f64 i i)) (*.f64 i 50))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 i (fma.f64 i 50/3 50)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 i 50) 1) (*.f64 (*.f64 50/3 (*.f64 i i)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 i) (fma.f64 i 50/3 50))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 i) (fma.f64 i 50/3 50)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 i) (fma.f64 i 50/3 50)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 i) (fma.f64 i 50/3 50)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 i (fma.f64 i 50/3 50)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 i 50) 3) (pow.f64 (*.f64 50/3 (*.f64 i i)) 3)) (+.f64 (pow.f64 (*.f64 i 50) 2) (-.f64 (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 i (fma.f64 i 50/3 50))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 i (fma.f64 i 50/3 50))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 i 50 (*.f64 50/3 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 i (*.f64 i 50/3) (*.f64 i 50))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 50 i (*.f64 50/3 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 50/3 (*.f64 i i) (*.f64 i 50))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 i 50/3) i (*.f64 i 50))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 i 50) (*.f64 50/3 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 50/3 (*.f64 i i)) (*.f64 i 50))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 i i) 50/3 (*.f64 i 50))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 2500/9 (*.f64 i i))) (*.f64 (cbrt.f64 (*.f64 i 50/3)) i) (*.f64 i 50))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 (cbrt.f64 i) 50) (*.f64 50/3 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 (cbrt.f64 i) (*.f64 i 50/3)) (*.f64 i 50))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 i 50/3)) (*.f64 (sqrt.f64 (*.f64 i 50/3)) i) (*.f64 i 50))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 i) (*.f64 (sqrt.f64 i) 50) (*.f64 50/3 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 i) (*.f64 (sqrt.f64 i) (*.f64 i 50/3)) (*.f64 i 50))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 i 50) 1 (*.f64 (*.f64 50/3 (*.f64 i i)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 i 50)) 2) (cbrt.f64 (*.f64 i 50)) (*.f64 50/3 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 50/3 (*.f64 i i))) 2) (cbrt.f64 (*.f64 50/3 (*.f64 i i))) (*.f64 i 50))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 i 50)) (sqrt.f64 (*.f64 i 50)) (*.f64 50/3 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 50/3 (*.f64 i i))) (sqrt.f64 (*.f64 50/3 (*.f64 i i))) (*.f64 i 50))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 i 50/3)) (sqrt.f64 i)) (*.f64 (sqrt.f64 (*.f64 i 50/3)) (sqrt.f64 i)) (*.f64 i 50))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 i) (sqrt.f64 (*.f64 i 50/3))) (*.f64 (sqrt.f64 i) (sqrt.f64 (*.f64 i 50/3))) (*.f64 i 50))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 50 (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i) (*.f64 50/3 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 50 (sqrt.f64 i)) (sqrt.f64 i) (*.f64 50/3 (*.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 i 50/3) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i) (*.f64 i 50))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 i 50/3) (sqrt.f64 i)) (sqrt.f64 i) (*.f64 i 50))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 i (cbrt.f64 (*.f64 2500/9 (*.f64 i i)))) (cbrt.f64 (*.f64 i 50/3)) (*.f64 i 50))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 i (sqrt.f64 (*.f64 i 50/3))) (sqrt.f64 (*.f64 i 50/3)) (*.f64 i 50))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 i 50/3 50))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2500 (+.f64 50 (*.f64 -50/3 i))) (/.f64 (*.f64 2500/9 (*.f64 i i)) (+.f64 50 (*.f64 -50/3 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 i 50/3 50) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 i 50/3 50))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 i 50/3 50)) (pow.f64 (cbrt.f64 (fma.f64 i 50/3 50)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 i 50/3 50)) 2) (cbrt.f64 (fma.f64 i 50/3 50)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 i 50/3 50)) (sqrt.f64 (fma.f64 i 50/3 50)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 125000/27 (pow.f64 i 3) 125000) (/.f64 1 (fma.f64 (*.f64 i 50/3) (fma.f64 i 50/3 -50) 2500)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2500 (*.f64 2500/9 (*.f64 i i))) (/.f64 1 (+.f64 50 (*.f64 -50/3 i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 i 50/3) (fma.f64 i 50/3 -50) 2500) (fma.f64 125000/27 (pow.f64 i 3) 125000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 50 (*.f64 -50/3 i)) (-.f64 2500 (*.f64 2500/9 (*.f64 i i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 125000/27 (pow.f64 i 3) 125000) (fma.f64 (*.f64 i 50/3) (fma.f64 i 50/3 -50) 2500))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 125000/27 (pow.f64 i 3) 125000) (fma.f64 2500/9 (*.f64 i i) (-.f64 2500 (*.f64 2500/3 i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 2500 (*.f64 2500/9 (*.f64 i i))) (+.f64 50 (*.f64 -50/3 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 125000/27 (pow.f64 i 3) 125000)) (neg.f64 (fma.f64 (*.f64 i 50/3) (fma.f64 i 50/3 -50) 2500)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 2500 (*.f64 2500/9 (*.f64 i i)))) (neg.f64 (+.f64 50 (*.f64 -50/3 i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2500/9 (*.f64 i i) -2500) (fma.f64 i 50/3 -50))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 i 50/3 50) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 i 50/3 50) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 i 50/3 50) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 i 50/3 50)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 i 50/3 50)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 i 50/3) (fma.f64 i 50/3 -50) 2500) (fma.f64 125000/27 (pow.f64 i 3) 125000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 50 (*.f64 -50/3 i)) (-.f64 2500 (*.f64 2500/9 (*.f64 i i)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 i 50/3 50) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 i 50/3 50)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 i 50/3 50))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 i 50/3 50) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 i 50/3 50)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 i 50/3 50)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 i 50/3 50)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 i 50/3 50)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 i 50/3 50)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 50/3 i 50)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 i 50/3) 1 50)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 i 50/3) 50)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 i 50/3)) (cbrt.f64 (*.f64 2500/9 (*.f64 i i))) 50)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 2500/9 (*.f64 i i))) (cbrt.f64 (*.f64 i 50/3)) 50)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 (cbrt.f64 i) 50/3) 50)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 i 50/3)) (sqrt.f64 (*.f64 i 50/3)) 50)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 i) (*.f64 (sqrt.f64 i) 50/3) 50)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 50/3 (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i) 50)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 50/3 (sqrt.f64 i)) (sqrt.f64 i) 50)))))

simplify178.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1002×fma-def_binary64
751×sqr-pow_binary64
546×fabs-mul_binary64
529×cube-prod_binary64
421×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027594
167477
2129464
3249462
4604462
51595462
62392462
73023462
83181462
93476462
103735462
113976462
124291462
134663462
145117462
155698462
166406462
177268462
187694462
Stop Event
1×node limit
Counts
234 → 194
Calls
Call 1
Inputs
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) i)))
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) i)))
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) i)))
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) i)))
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) i)))
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) i)))
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) i)))
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) i)))
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) i)))
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) i)))
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) i)))
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) 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 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(*.f64 50/3 (*.f64 n (pow.f64 i 2)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 50/3 (*.f64 n (pow.f64 i 2))))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 100 n) (*.f64 50/3 (*.f64 n (pow.f64 i 2)))))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 100 n) (*.f64 50/3 (*.f64 n (pow.f64 i 2)))))
(*.f64 50/3 (*.f64 n (pow.f64 i 2)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 50/3 (*.f64 n (pow.f64 i 2))))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 100 n) (*.f64 50/3 (*.f64 n (pow.f64 i 2)))))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 100 n) (*.f64 50/3 (*.f64 n (pow.f64 i 2)))))
(*.f64 50/3 i)
(*.f64 50/3 i)
(*.f64 50/3 i)
(*.f64 50/3 i)
(*.f64 50/3 i)
(*.f64 50/3 i)
(*.f64 50/3 i)
(*.f64 50/3 i)
(*.f64 50/3 i)
(*.f64 50/3 i)
(*.f64 50/3 i)
(*.f64 50/3 i)
(*.f64 50 i)
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(*.f64 50/3 (pow.f64 i 2))
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(*.f64 50/3 (pow.f64 i 2))
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
50
(+.f64 50 (*.f64 50/3 i))
(+.f64 50 (*.f64 50/3 i))
(+.f64 50 (*.f64 50/3 i))
(*.f64 50/3 i)
(+.f64 50 (*.f64 50/3 i))
(+.f64 50 (*.f64 50/3 i))
(+.f64 50 (*.f64 50/3 i))
(*.f64 50/3 i)
(+.f64 50 (*.f64 50/3 i))
(+.f64 50 (*.f64 50/3 i))
(+.f64 50 (*.f64 50/3 i))
Outputs
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) i)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 50/3 i)))))
(*.f64 n (fma.f64 i (fma.f64 50/3 i 50) 100))
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) i)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 50/3 i)))))
(*.f64 n (fma.f64 i (fma.f64 50/3 i 50) 100))
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) i)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 50/3 i)))))
(*.f64 n (fma.f64 i (fma.f64 50/3 i 50) 100))
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) i)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 50/3 i)))))
(*.f64 n (fma.f64 i (fma.f64 50/3 i 50) 100))
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) i)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 50/3 i)))))
(*.f64 n (fma.f64 i (fma.f64 50/3 i 50) 100))
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) i)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 50/3 i)))))
(*.f64 n (fma.f64 i (fma.f64 50/3 i 50) 100))
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) i)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 50/3 i)))))
(*.f64 n (fma.f64 i (fma.f64 50/3 i 50) 100))
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) i)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 50/3 i)))))
(*.f64 n (fma.f64 i (fma.f64 50/3 i 50) 100))
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) i)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 50/3 i)))))
(*.f64 n (fma.f64 i (fma.f64 50/3 i 50) 100))
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) i)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 50/3 i)))))
(*.f64 n (fma.f64 i (fma.f64 50/3 i 50) 100))
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) i)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 50/3 i)))))
(*.f64 n (fma.f64 i (fma.f64 50/3 i 50) 100))
(*.f64 n (+.f64 100 (*.f64 (+.f64 50 (*.f64 50/3 i)) i)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 50/3 i)))))
(*.f64 n (fma.f64 i (fma.f64 50/3 i 50) 100))
(*.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 50 (*.f64 n i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.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)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 50/3 i)))))
(*.f64 n (fma.f64 i (fma.f64 50/3 i 50) 100))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 50/3 i)))))
(*.f64 n (fma.f64 i (fma.f64 50/3 i 50) 100))
(*.f64 50/3 (*.f64 n (pow.f64 i 2)))
(*.f64 50/3 (*.f64 n (*.f64 i i)))
(*.f64 n (*.f64 i (*.f64 50/3 i)))
(*.f64 i (*.f64 i (*.f64 n 50/3)))
(*.f64 n (*.f64 50/3 (*.f64 i i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 50/3 (*.f64 n (pow.f64 i 2))))
(fma.f64 50 (*.f64 n i) (*.f64 50/3 (*.f64 n (*.f64 i i))))
(fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 50 (*.f64 n i)))
(*.f64 n (*.f64 i (fma.f64 50/3 i 50)))
(*.f64 (fma.f64 50/3 i 50) (*.f64 n i))
(*.f64 i (*.f64 n (fma.f64 50/3 i 50)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 100 n) (*.f64 50/3 (*.f64 n (pow.f64 i 2)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 50/3 i)))))
(*.f64 n (fma.f64 i (fma.f64 50/3 i 50) 100))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 100 n) (*.f64 50/3 (*.f64 n (pow.f64 i 2)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 50/3 i)))))
(*.f64 n (fma.f64 i (fma.f64 50/3 i 50) 100))
(*.f64 50/3 (*.f64 n (pow.f64 i 2)))
(*.f64 50/3 (*.f64 n (*.f64 i i)))
(*.f64 n (*.f64 i (*.f64 50/3 i)))
(*.f64 i (*.f64 i (*.f64 n 50/3)))
(*.f64 n (*.f64 50/3 (*.f64 i i)))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 50/3 (*.f64 n (pow.f64 i 2))))
(fma.f64 50 (*.f64 n i) (*.f64 50/3 (*.f64 n (*.f64 i i))))
(fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 50 (*.f64 n i)))
(*.f64 n (*.f64 i (fma.f64 50/3 i 50)))
(*.f64 (fma.f64 50/3 i 50) (*.f64 n i))
(*.f64 i (*.f64 n (fma.f64 50/3 i 50)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 100 n) (*.f64 50/3 (*.f64 n (pow.f64 i 2)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 50/3 i)))))
(*.f64 n (fma.f64 i (fma.f64 50/3 i 50) 100))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 100 n) (*.f64 50/3 (*.f64 n (pow.f64 i 2)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 50/3 i)))))
(*.f64 n (fma.f64 i (fma.f64 50/3 i 50) 100))
(*.f64 50/3 i)
(*.f64 50/3 i)
(*.f64 50/3 i)
(*.f64 50/3 i)
(*.f64 50/3 i)
(*.f64 50/3 i)
(*.f64 50/3 i)
(*.f64 50/3 i)
(*.f64 50/3 i)
(*.f64 50/3 i)
(*.f64 50/3 i)
(*.f64 50/3 i)
(*.f64 50 i)
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(fma.f64 50 i (*.f64 50/3 (*.f64 i i)))
(*.f64 i (fma.f64 50/3 i 50))
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(fma.f64 50 i (*.f64 50/3 (*.f64 i i)))
(*.f64 i (fma.f64 50/3 i 50))
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(fma.f64 50 i (*.f64 50/3 (*.f64 i i)))
(*.f64 i (fma.f64 50/3 i 50))
(*.f64 50/3 (pow.f64 i 2))
(*.f64 50/3 (*.f64 i i))
(*.f64 i (*.f64 50/3 i))
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(fma.f64 50 i (*.f64 50/3 (*.f64 i i)))
(*.f64 i (fma.f64 50/3 i 50))
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(fma.f64 50 i (*.f64 50/3 (*.f64 i i)))
(*.f64 i (fma.f64 50/3 i 50))
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(fma.f64 50 i (*.f64 50/3 (*.f64 i i)))
(*.f64 i (fma.f64 50/3 i 50))
(*.f64 50/3 (pow.f64 i 2))
(*.f64 50/3 (*.f64 i i))
(*.f64 i (*.f64 50/3 i))
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(fma.f64 50 i (*.f64 50/3 (*.f64 i i)))
(*.f64 i (fma.f64 50/3 i 50))
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(fma.f64 50 i (*.f64 50/3 (*.f64 i i)))
(*.f64 i (fma.f64 50/3 i 50))
(+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))
(fma.f64 50 i (*.f64 50/3 (*.f64 i i)))
(*.f64 i (fma.f64 50/3 i 50))
50
(+.f64 50 (*.f64 50/3 i))
(fma.f64 50/3 i 50)
(+.f64 50 (*.f64 50/3 i))
(fma.f64 50/3 i 50)
(+.f64 50 (*.f64 50/3 i))
(fma.f64 50/3 i 50)
(*.f64 50/3 i)
(+.f64 50 (*.f64 50/3 i))
(fma.f64 50/3 i 50)
(+.f64 50 (*.f64 50/3 i))
(fma.f64 50/3 i 50)
(+.f64 50 (*.f64 50/3 i))
(fma.f64 50/3 i 50)
(*.f64 50/3 i)
(+.f64 50 (*.f64 50/3 i))
(fma.f64 50/3 i 50)
(+.f64 50 (*.f64 50/3 i))
(fma.f64 50/3 i 50)
(+.f64 50 (*.f64 50/3 i))
(fma.f64 50/3 i 50)

localize32.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 n 100 (*.f64 i (*.f64 50 n)))
✓0.2b
(*.f64 i (*.f64 50 n))
Compiler

Compiled 22 to 14 computations (36.4% saved)

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
n
@-inf
(fma.f64 n 100 (*.f64 i (*.f64 50 n)))
1.0ms
n
@0
(fma.f64 n 100 (*.f64 i (*.f64 50 n)))
0.0ms
i
@0
(*.f64 i (*.f64 50 n))
0.0ms
n
@inf
(fma.f64 n 100 (*.f64 i (*.f64 50 n)))
0.0ms
i
@0
(fma.f64 n 100 (*.f64 i (*.f64 50 n)))

rewrite210.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
738×pow1_binary64
685×add-log-exp_binary64
685×log1p-expm1-u_binary64
685×expm1-log1p-u_binary64
673×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
116418
2183818
Stop Event
1×node limit
Counts
2 → 34
Calls
Call 1
Inputs
(*.f64 i (*.f64 50 n))
(fma.f64 n 100 (*.f64 i (*.f64 50 n)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 i (*.f64 50 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i (*.f64 50 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 i (*.f64 50 n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 i (*.f64 50 n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 50) n) i))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 i 3) (pow.f64 (*.f64 50 n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 50 n) 3) (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 i (*.f64 50 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 i (*.f64 50 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 i (*.f64 50 n))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 i (*.f64 50 n)) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n 100) (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 n 100) 1) (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 n 100 (*.f64 i (*.f64 50 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 n 100 (*.f64 i (*.f64 50 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 n 100 (*.f64 i (*.f64 50 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 n 100 (*.f64 i (*.f64 50 n)))) (pow.f64 (cbrt.f64 (fma.f64 n 100 (*.f64 i (*.f64 50 n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 n 100 (*.f64 i (*.f64 50 n)))) 2) (cbrt.f64 (fma.f64 n 100 (*.f64 i (*.f64 50 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 n 100 (*.f64 i (*.f64 50 n)))) (sqrt.f64 (fma.f64 n 100 (*.f64 i (*.f64 50 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 n 100) 3) (pow.f64 (*.f64 i (*.f64 50 n)) 3)) (+.f64 (*.f64 (*.f64 n 100) (*.f64 n 100)) (-.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 2) (*.f64 (*.f64 n 100) (*.f64 i (*.f64 50 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 n 100) (*.f64 n 100)) (pow.f64 (*.f64 i (*.f64 50 n)) 2)) (-.f64 (*.f64 n 100) (*.f64 i (*.f64 50 n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 n 100 (*.f64 i (*.f64 50 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 n 100 (*.f64 i (*.f64 50 n))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 n 100 (*.f64 i (*.f64 50 n)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 n 100 (*.f64 i (*.f64 50 n)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 n 100 (*.f64 i (*.f64 50 n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 n 100 (*.f64 i (*.f64 50 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 n 100 (*.f64 i (*.f64 50 n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 n 100 (*.f64 i (*.f64 50 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 n 100 (*.f64 i (*.f64 50 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 n 100 (*.f64 i (*.f64 50 n)))))))))

simplify61.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
294×fma-def_binary64
157×fma-neg_binary64
52×cancel-sign-sub-inv_binary64
34×distribute-rgt-neg-in_binary64
32×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018396
143354
286354
3158354
4244354
5309354
6464354
7685354
8969354
91044354
101050354
Stop Event
1×saturated
Counts
82 → 42
Calls
Call 1
Inputs
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 50 (*.f64 n i))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100)))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100)))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100)))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100)))
(*.f64 100 n)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 50 (*.f64 n i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 50 (*.f64 n i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
Outputs
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 100 n)
(*.f64 n 100)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(*.f64 50 (*.f64 n i))
(*.f64 (*.f64 50 n) i)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 n (fma.f64 50 i 100))

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 100 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 i n)) (/.f64 n i)))
✓0.2b
(/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 i n))
✓5.2b
(pow.f64 (+.f64 (/.f64 i n) 1) n)
✓26.0b
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 i n)) (/.f64 n i))
Compiler

Compiled 67 to 27 computations (59.7% saved)

series39.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
24.0ms
n
@0
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 i n)) (/.f64 n i))
1.0ms
i
@-inf
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 i n)) (/.f64 n i))
1.0ms
i
@inf
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 i n)) (/.f64 n i))
1.0ms
n
@0
(*.f64 100 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 i n)) (/.f64 n i)))
1.0ms
i
@-inf
(*.f64 100 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 i n)) (/.f64 n i)))

rewrite139.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
749×log-prod_binary64
528×fma-def_binary64
339×fma-neg_binary64
284×log-div_binary64
249×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01273
128067
2424063
Stop Event
1×node limit
Counts
4 → 267
Calls
Call 1
Inputs
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 i n)) (/.f64 n i))
(pow.f64 (+.f64 (/.f64 i n) 1) n)
(/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 i n))
(*.f64 100 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 i n)) (/.f64 n i)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 n i)) (/.f64 (neg.f64 n) i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) 1) 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 (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 (/.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 (cbrt.f64 (/.f64 n i))) (pow.f64 (cbrt.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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simplify137.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
882×distribute-rgt-in_binary64
432×fma-def_binary64
261×+-commutative_binary64
237×associate-+r+_binary64
216×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03715668
112585244
245444699
Stop Event
1×node limit
Counts
363 → 436
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))))
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(*.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i)) (pow.f64 n 2))
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(+.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))))))))
(*.f64 n (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i)))
(+.f64 (*.f64 -1/2 (*.f64 i (exp.f64 i))) (*.f64 n (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i))))
(+.f64 (*.f64 -1/2 (*.f64 i (exp.f64 i))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i)) (*.f64 n (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 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 -1/2 (*.f64 i (exp.f64 i))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i)) (*.f64 n (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 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 (*.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))))))
(*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 (log.f64 i) i) (*.f64 -1 (/.f64 (log.f64 n) 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 (pow.f64 n 2) (+.f64 (/.f64 (log.f64 i) i) (*.f64 -1 (/.f64 (log.f64 n) 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 (pow.f64 n 2) (+.f64 (/.f64 (log.f64 i) i) (*.f64 -1 (/.f64 (log.f64 n) i)))))))
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(*.f64 100 (*.f64 n (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (*.f64 n (-.f64 (/.f64 (exp.f64 i) i) (/.f64 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 n (-.f64 (/.f64 (exp.f64 i) i) (/.f64 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 n (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i)))))))
(*.f64 -100 (*.f64 n (+.f64 (*.f64 -1 (/.f64 (exp.f64 i) i)) (/.f64 1 i))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 -100 (*.f64 n (+.f64 (*.f64 -1 (/.f64 (exp.f64 i) i)) (/.f64 1 i)))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))) (*.f64 -100 (*.f64 n (+.f64 (*.f64 -1 (/.f64 (exp.f64 i) i)) (/.f64 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 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))) (*.f64 -100 (*.f64 n (+.f64 (*.f64 -1 (/.f64 (exp.f64 i) i)) (/.f64 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)
(+.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 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))) n)
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(*.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 5) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (*.f64 i i)) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 i 3)) (fma.f64 1/24 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) i) (+.f64 (/.f64 1/2 (pow.f64 i 3)) (/.f64 1/3 (pow.f64 i 4)))))) (fma.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (*.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 n (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i))))
(*.f64 (*.f64 n 100) (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i)))
(*.f64 (+.f64 (/.f64 -1 i) (/.f64 (exp.f64 i) i)) (*.f64 n 100))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (*.f64 n (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 (*.f64 n 100) (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i))))
(fma.f64 (*.f64 n 100) (+.f64 (/.f64 -1 i) (/.f64 (exp.f64 i) i)) (*.f64 (exp.f64 i) (*.f64 i -50)))
(fma.f64 (-.f64 (*.f64 n (/.f64 (exp.f64 i) i)) (/.f64 n 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 n (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i))))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (*.f64 n (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i))) (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 1/3 (pow.f64 i 3))) (/.f64 (*.f64 n i) (exp.f64 i))))))
(fma.f64 100 (fma.f64 n (+.f64 (/.f64 -1 i) (/.f64 (exp.f64 i) i)) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n))) (*.f64 (exp.f64 i) (*.f64 i -50)))
(fma.f64 100 (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (-.f64 (*.f64 n (/.f64 (exp.f64 i) i)) (/.f64 n i))) (*.f64 i (*.f64 (exp.f64 i) -50)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (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 n (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i)))))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (/.f64 (*.f64 i (*.f64 n n)) (exp.f64 i))) (*.f64 100 (+.f64 (*.f64 n (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i))) (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 1/3 (pow.f64 i 3))) (/.f64 (*.f64 n i) (exp.f64 i)))))))
(+.f64 (*.f64 100 (*.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)))) (fma.f64 (*.f64 n 100) (+.f64 (/.f64 -1 i) (/.f64 (exp.f64 i) i)) (*.f64 (exp.f64 i) (*.f64 i -50))))
(fma.f64 (*.f64 i (exp.f64 i)) -50 (*.f64 100 (+.f64 (-.f64 (*.f64 n (/.f64 (exp.f64 i) i)) (/.f64 n i)) (*.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 -100 (*.f64 n (+.f64 (*.f64 -1 (/.f64 (exp.f64 i) i)) (/.f64 1 i))))
(*.f64 (*.f64 -100 n) (fma.f64 -1 (/.f64 (exp.f64 i) i) (/.f64 1 i)))
(*.f64 (-.f64 (/.f64 1 i) (/.f64 (exp.f64 i) i)) (*.f64 n -100))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 -100 (*.f64 n (+.f64 (*.f64 -1 (/.f64 (exp.f64 i) i)) (/.f64 1 i)))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 (*.f64 -100 n) (fma.f64 -1 (/.f64 (exp.f64 i) i) (/.f64 1 i))))
(fma.f64 (*.f64 i (exp.f64 i)) -50 (*.f64 (-.f64 (/.f64 1 i) (/.f64 (exp.f64 i) i)) (*.f64 n -100)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))) (*.f64 -100 (*.f64 n (+.f64 (*.f64 -1 (/.f64 (exp.f64 i) i)) (/.f64 1 i))))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 1/3 (pow.f64 i 3))) (/.f64 (*.f64 n i) (exp.f64 i))) (*.f64 (*.f64 -100 n) (fma.f64 -1 (/.f64 (exp.f64 i) i) (/.f64 1 i)))))
(fma.f64 (*.f64 i (exp.f64 i)) -50 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n)) 100 (*.f64 (-.f64 (/.f64 1 i) (/.f64 (exp.f64 i) i)) (*.f64 n -100))))
(fma.f64 (*.f64 i (exp.f64 i)) -50 (fma.f64 (*.f64 (/.f64 (exp.f64 i) (*.f64 n i)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8))) 100 (*.f64 (-.f64 (/.f64 1 i) (/.f64 (exp.f64 i) i)) (*.f64 n -100))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))) (*.f64 -100 (*.f64 n (+.f64 (*.f64 -1 (/.f64 (exp.f64 i) i)) (/.f64 1 i)))))))
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 -100 (/.f64 (fma.f64 1/48 (pow.f64 i 6) (fma.f64 1/6 (pow.f64 i 5) (*.f64 1/4 (pow.f64 i 4)))) (/.f64 (*.f64 i (*.f64 n n)) (exp.f64 i))) (fma.f64 100 (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 1/3 (pow.f64 i 3))) (/.f64 (*.f64 n i) (exp.f64 i))) (*.f64 (*.f64 -100 n) (fma.f64 -1 (/.f64 (exp.f64 i) i) (/.f64 1 i))))))
(fma.f64 (*.f64 i (exp.f64 i)) -50 (fma.f64 (*.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))) -100 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n)) 100 (*.f64 (-.f64 (/.f64 1 i) (/.f64 (exp.f64 i) i)) (*.f64 n -100)))))
(+.f64 (*.f64 (/.f64 (exp.f64 i) i) (+.f64 (*.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n)) (*.f64 -100 (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 1/4 (pow.f64 i 4)))) (*.f64 n n))))) (fma.f64 (*.f64 i (exp.f64 i)) -50 (*.f64 (-.f64 (/.f64 1 i) (/.f64 (exp.f64 i) i)) (*.f64 n -100))))

eval382.0ms (1.5%)

Compiler

Compiled 20035 to 10941 computations (45.4% saved)

prune148.0ms (0.6%)

Pruning

42 alts after pruning (29 fresh and 13 done)

PrunedKeptTotal
New77517792
Fresh71219
Picked101
Done01313
Total78342825
Error
0b
Counts
825 → 42
Alt Table
Click to see full alt table
StatusErrorProgram
✓60.1b
(*.f64 n (*.f64 50 i))
51.9b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
29.6b
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
59.7b
(*.f64 n (*.f64 50/3 (*.f64 i i)))
✓29.6b
(fma.f64 n 100 (*.f64 i (*.f64 50 n)))
41.7b
(/.f64 (-.f64 (*.f64 (*.f64 n 100) (*.f64 n 100)) (pow.f64 (*.f64 i (*.f64 50 n)) 2)) (-.f64 (*.f64 n 100) (*.f64 i (*.f64 50 n))))
✓62.2b
(*.f64 -50 i)
✓29.1b
(*.f64 n 100)
37.5b
(/.f64 (*.f64 100 i) (/.f64 i n))
43.3b
(*.f64 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (/.f64 -1/2 n)))))
30.6b
(*.f64 100 (/.f64 (*.f64 n i) i))
29.8b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (sqrt.f64 (*.f64 2500/9 (*.f64 i i)))))))
24.0b
(/.f64 100 (+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n)))))
46.5b
(/.f64 (*.f64 n (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) i)
31.5b
(/.f64 100 (/.f64 i (-.f64 (+.f64 1 (*.f64 (expm1.f64 i) n)) 1)))
19.0b
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
29.6b
(*.f64 n (+.f64 100 (*.f64 i 50)))
22.7b
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
31.1b
(/.f64 100 (/.f64 i (*.f64 n (+.f64 i (*.f64 i (*.f64 i 1/2))))))
✓18.5b
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
22.3b
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))
✓29.6b
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
✓46.8b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
31.7b
(*.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)))))))
29.2b
(/.f64 100 (/.f64 1 n))
✓18.1b
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
18.8b
(/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)
30.7b
(/.f64 100 (/.f64 i (*.f64 n i)))
✓46.7b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
✓18.5b
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 i) n)))
46.8b
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 n i)) (/.f64 n i)))
53.4b
(*.f64 100 (-.f64 (/.f64 1 (/.f64 i n)) (/.f64 n i)))
18.8b
(/.f64 1 (/.f64 i (*.f64 (*.f64 (expm1.f64 i) n) 100)))
19.2b
(/.f64 100 (*.f64 (/.f64 1 (*.f64 (expm1.f64 i) n)) i))
17.3b
(*.f64 (*.f64 (/.f64 100 i) (expm1.f64 i)) n)
49.1b
(*.f64 100 (-.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 i -1/2) (/.f64 n i))) (/.f64 n i)))
✓18.2b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
29.7b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
✓18.3b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
✓29.6b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
47.8b
(*.f64 100 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) i) n) (/.f64 n i)))
38.2b
(*.f64 (/.f64 n i) (*.f64 i 100))
Compiler

Compiled 567 to 398 computations (29.8% saved)

regimes828.0ms (3.2%)

Counts
70 → 3
Calls
Call 1
Inputs
(*.f64 -50 i)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 50 i))
(*.f64 n (*.f64 50/3 (*.f64 i i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 100 (/.f64 i (*.f64 n i)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 i 100))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))
(*.f64 100 (-.f64 (/.f64 1 (/.f64 i n)) (/.f64 n i)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(/.f64 100 (/.f64 i (*.f64 n (+.f64 i (*.f64 i (*.f64 i 1/2))))))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 100 (+.f64 n (*.f64 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 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (/.f64 -1/2 n)))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(*.f64 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 i (*.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 i n)))
(*.f64 (*.f64 (/.f64 100 i) (expm1.f64 i)) n)
(fma.f64 n 100 (*.f64 i (*.f64 50 n)))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 i) n)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 100 (*.f64 (/.f64 1 (*.f64 (expm1.f64 i) n)) i))
(/.f64 1 (/.f64 i (*.f64 (*.f64 (expm1.f64 i) n) 100)))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(/.f64 100 (/.f64 i (-.f64 (+.f64 1 (*.f64 (expm1.f64 i) n)) 1)))
(*.f64 100 (/.f64 (-.f64 (+.f64 1 (*.f64 n (expm1.f64 i))) 1) i))
(*.f64 100 (/.f64 (*.f64 n (fma.f64 i (*.f64 i 1/2) i)) i))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (/.f64 i n))) i) n))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (sqrt.f64 (*.f64 2500/9 (*.f64 i i)))))))
(*.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 n (/.f64 i (*.f64 100 (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i))))
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 n i)) (/.f64 n i)))
(*.f64 100 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) i) n) (/.f64 n i)))
(*.f64 100 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 i n)) (/.f64 n i)))
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i)))
(/.f64 100 (+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n)))))
(+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))
(+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))
(/.f64 (-.f64 (*.f64 (*.f64 n 100) (*.f64 n 100)) (pow.f64 (*.f64 i (*.f64 50 n)) 2)) (-.f64 (*.f64 n 100) (*.f64 i (*.f64 50 n))))
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 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 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) 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 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n))
(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))) 3)
Outputs
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))
Calls

4 calls:

330.0ms
n
236.0ms
i
175.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
30.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Results
ErrorSegmentsBranch
7.0b4i
5.4b3n
0.2b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
0.2b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 901 to 495 computations (45.1% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
8320.851254794816
NaN
0.0ms
-0.0
1.527388120272053e-282
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes301.0ms (1.2%)

Counts
62 → 3
Calls
Call 1
Inputs
(*.f64 -50 i)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 50 i))
(*.f64 n (*.f64 50/3 (*.f64 i i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 100 (/.f64 i (*.f64 n i)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 i 100))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))
(*.f64 100 (-.f64 (/.f64 1 (/.f64 i n)) (/.f64 n i)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(/.f64 100 (/.f64 i (*.f64 n (+.f64 i (*.f64 i (*.f64 i 1/2))))))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 100 (+.f64 n (*.f64 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 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (/.f64 -1/2 n)))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(*.f64 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 i (*.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 i n)))
(*.f64 (*.f64 (/.f64 100 i) (expm1.f64 i)) n)
(fma.f64 n 100 (*.f64 i (*.f64 50 n)))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 i) n)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 100 (*.f64 (/.f64 1 (*.f64 (expm1.f64 i) n)) i))
(/.f64 1 (/.f64 i (*.f64 (*.f64 (expm1.f64 i) n) 100)))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(/.f64 100 (/.f64 i (-.f64 (+.f64 1 (*.f64 (expm1.f64 i) n)) 1)))
(*.f64 100 (/.f64 (-.f64 (+.f64 1 (*.f64 n (expm1.f64 i))) 1) i))
(*.f64 100 (/.f64 (*.f64 n (fma.f64 i (*.f64 i 1/2) i)) i))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (/.f64 i n))) i) n))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (sqrt.f64 (*.f64 2500/9 (*.f64 i i)))))))
(*.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 n (/.f64 i (*.f64 100 (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i))))
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 n i)) (/.f64 n i)))
(*.f64 100 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) i) n) (/.f64 n i)))
(*.f64 100 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 i n)) (/.f64 n i)))
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i)))
(/.f64 100 (+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n)))))
(+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))
(+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))
(/.f64 (-.f64 (*.f64 (*.f64 n 100) (*.f64 n 100)) (pow.f64 (*.f64 i (*.f64 50 n)) 2)) (-.f64 (*.f64 n 100) (*.f64 i (*.f64 50 n))))
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
Outputs
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
(+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))
Calls

4 calls:

124.0ms
i
104.0ms
n
27.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
23.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Results
ErrorSegmentsBranch
7.0b4i
5.4b3n
0.3b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
0.3b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 788 to 452 computations (42.6% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
8320.851254794816
NaN
0.0ms
-0.0
1.527388120272053e-282
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes386.0ms (1.5%)

Counts
60 → 3
Calls
Call 1
Inputs
(*.f64 -50 i)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 50 i))
(*.f64 n (*.f64 50/3 (*.f64 i i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 100 (/.f64 i (*.f64 n i)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 i 100))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))
(*.f64 100 (-.f64 (/.f64 1 (/.f64 i n)) (/.f64 n i)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(/.f64 100 (/.f64 i (*.f64 n (+.f64 i (*.f64 i (*.f64 i 1/2))))))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 100 (+.f64 n (*.f64 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 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (/.f64 -1/2 n)))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(*.f64 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 i (*.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 i n)))
(*.f64 (*.f64 (/.f64 100 i) (expm1.f64 i)) n)
(fma.f64 n 100 (*.f64 i (*.f64 50 n)))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 i) n)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 100 (*.f64 (/.f64 1 (*.f64 (expm1.f64 i) n)) i))
(/.f64 1 (/.f64 i (*.f64 (*.f64 (expm1.f64 i) n) 100)))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(/.f64 100 (/.f64 i (-.f64 (+.f64 1 (*.f64 (expm1.f64 i) n)) 1)))
(*.f64 100 (/.f64 (-.f64 (+.f64 1 (*.f64 n (expm1.f64 i))) 1) i))
(*.f64 100 (/.f64 (*.f64 n (fma.f64 i (*.f64 i 1/2) i)) i))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (/.f64 i n))) i) n))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (sqrt.f64 (*.f64 2500/9 (*.f64 i i)))))))
(*.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 n (/.f64 i (*.f64 100 (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i))))
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 n i)) (/.f64 n i)))
(*.f64 100 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) i) n) (/.f64 n i)))
(*.f64 100 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 i n)) (/.f64 n i)))
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i)))
(/.f64 100 (+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n)))))
(+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))
(+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))
(/.f64 (-.f64 (*.f64 (*.f64 n 100) (*.f64 n 100)) (pow.f64 (*.f64 i (*.f64 50 n)) 2)) (-.f64 (*.f64 n 100) (*.f64 i (*.f64 50 n))))
Outputs
(*.f64 100 (/.f64 (-.f64 (+.f64 1 (*.f64 n (expm1.f64 i))) 1) i))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))
Calls

4 calls:

161.0ms
n
157.0ms
i
22.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
22.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Results
ErrorSegmentsBranch
10.0b3i
11.9b4n
11.9b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
11.9b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 762 to 443 computations (41.9% saved)

bsearch940.0ms (3.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
109.0ms
8.133133482653897e-8
896809763.0275569
831.0ms
-9.896236566597815e-62
-1.1430162762607846e-66
Compiler

Compiled 719 to 529 computations (26.4% saved)

regimes432.0ms (1.7%)

Counts
57 → 3
Calls
Call 1
Inputs
(*.f64 -50 i)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 50 i))
(*.f64 n (*.f64 50/3 (*.f64 i i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 100 (/.f64 i (*.f64 n i)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 i 100))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))
(*.f64 100 (-.f64 (/.f64 1 (/.f64 i n)) (/.f64 n i)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(/.f64 100 (/.f64 i (*.f64 n (+.f64 i (*.f64 i (*.f64 i 1/2))))))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 100 (+.f64 n (*.f64 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 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (/.f64 -1/2 n)))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(*.f64 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 i (*.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 i n)))
(*.f64 (*.f64 (/.f64 100 i) (expm1.f64 i)) n)
(fma.f64 n 100 (*.f64 i (*.f64 50 n)))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 i) n)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 100 (*.f64 (/.f64 1 (*.f64 (expm1.f64 i) n)) i))
(/.f64 1 (/.f64 i (*.f64 (*.f64 (expm1.f64 i) n) 100)))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(/.f64 100 (/.f64 i (-.f64 (+.f64 1 (*.f64 (expm1.f64 i) n)) 1)))
(*.f64 100 (/.f64 (-.f64 (+.f64 1 (*.f64 n (expm1.f64 i))) 1) i))
(*.f64 100 (/.f64 (*.f64 n (fma.f64 i (*.f64 i 1/2) i)) i))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (/.f64 i n))) i) n))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (sqrt.f64 (*.f64 2500/9 (*.f64 i i)))))))
(*.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 n (/.f64 i (*.f64 100 (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i))))
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 n i)) (/.f64 n i)))
(*.f64 100 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) i) n) (/.f64 n i)))
(*.f64 100 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (/.f64 i n)) (/.f64 n i)))
(*.f64 100 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 n i)) (/.f64 n i)))
(/.f64 100 (+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n)))))
Outputs
(*.f64 100 (/.f64 (-.f64 (+.f64 1 (*.f64 n (expm1.f64 i))) 1) i))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
Calls

4 calls:

264.0ms
i
107.0ms
n
21.0ms
(/.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
10.0b3i
11.9b4n
11.9b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
11.9b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 699 to 407 computations (41.8% saved)

bsearch901.0ms (3.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
120.0ms
8.133133482653897e-8
896809763.0275569
781.0ms
-9.896236566597815e-62
-1.1430162762607846e-66
Compiler

Compiled 679 to 519 computations (23.6% saved)

regimes126.0ms (0.5%)

Counts
48 → 2
Calls
Call 1
Inputs
(*.f64 -50 i)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 50 i))
(*.f64 n (*.f64 50/3 (*.f64 i i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 100 (/.f64 i (*.f64 n i)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 i 100))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))
(*.f64 100 (-.f64 (/.f64 1 (/.f64 i n)) (/.f64 n i)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(/.f64 100 (/.f64 i (*.f64 n (+.f64 i (*.f64 i (*.f64 i 1/2))))))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 100 (+.f64 n (*.f64 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 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (/.f64 -1/2 n)))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(*.f64 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 i (*.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 i n)))
(*.f64 (*.f64 (/.f64 100 i) (expm1.f64 i)) n)
(fma.f64 n 100 (*.f64 i (*.f64 50 n)))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 i) n)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 100 (*.f64 (/.f64 1 (*.f64 (expm1.f64 i) n)) i))
(/.f64 1 (/.f64 i (*.f64 (*.f64 (expm1.f64 i) n) 100)))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(/.f64 100 (/.f64 i (-.f64 (+.f64 1 (*.f64 (expm1.f64 i) n)) 1)))
(*.f64 100 (/.f64 (-.f64 (+.f64 1 (*.f64 n (expm1.f64 i))) 1) i))
(*.f64 100 (/.f64 (*.f64 n (fma.f64 i (*.f64 i 1/2) i)) i))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (/.f64 i n))) i) n))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (sqrt.f64 (*.f64 2500/9 (*.f64 i i)))))))
Outputs
(*.f64 100 (/.f64 (-.f64 (+.f64 1 (*.f64 n (expm1.f64 i))) 1) i))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))
Calls

2 calls:

64.0ms
n
46.0ms
i
Results
ErrorSegmentsBranch
11.4b2i
13.0b3n
Compiler

Compiled 518 to 313 computations (39.6% saved)

bsearch601.0ms (2.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
601.0ms
-2.5502784890523884e-78
-1.3381348462042641e-79
Compiler

Compiled 225 to 176 computations (21.8% saved)

regimes109.0ms (0.4%)

Counts
44 → 2
Calls
Call 1
Inputs
(*.f64 -50 i)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 50 i))
(*.f64 n (*.f64 50/3 (*.f64 i i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 100 (/.f64 i (*.f64 n i)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 i 100))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))
(*.f64 100 (-.f64 (/.f64 1 (/.f64 i n)) (/.f64 n i)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(/.f64 100 (/.f64 i (*.f64 n (+.f64 i (*.f64 i (*.f64 i 1/2))))))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 100 (+.f64 n (*.f64 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 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (/.f64 -1/2 n)))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(*.f64 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 i (*.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 i n)))
(*.f64 (*.f64 (/.f64 100 i) (expm1.f64 i)) n)
(fma.f64 n 100 (*.f64 i (*.f64 50 n)))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(/.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 i) n)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(/.f64 100 (*.f64 (/.f64 1 (*.f64 (expm1.f64 i) n)) i))
(/.f64 1 (/.f64 i (*.f64 (*.f64 (expm1.f64 i) n) 100)))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(/.f64 100 (/.f64 i (-.f64 (+.f64 1 (*.f64 (expm1.f64 i) n)) 1)))
Outputs
(/.f64 100 (/.f64 i (-.f64 (+.f64 1 (*.f64 (expm1.f64 i) n)) 1)))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))
Calls

2 calls:

60.0ms
n
37.0ms
i
Results
ErrorSegmentsBranch
11.4b2i
13.0b3n
Compiler

Compiled 468 to 284 computations (39.3% saved)

bsearch477.0ms (1.9%)

Algorithm
1×binary-search
Steps
TimeLeftRight
476.0ms
-2.5502784890523884e-78
-1.3381348462042641e-79
Compiler

Compiled 225 to 176 computations (21.8% saved)

regimes99.0ms (0.4%)

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

2 calls:

52.0ms
n
35.0ms
i
Results
ErrorSegmentsBranch
13.0b2i
13.0b3n
Compiler

Compiled 456 to 277 computations (39.3% saved)

bsearch238.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
67.0ms
1.819360558257739e-147
6.826003433410405e-141
171.0ms
-1.4385590605449516e-155
-4.981189259975665e-158
Compiler

Compiled 413 to 321 computations (22.3% saved)

regimes87.0ms (0.3%)

Counts
32 → 3
Calls
Call 1
Inputs
(*.f64 -50 i)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 50 i))
(*.f64 n (*.f64 50/3 (*.f64 i i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 100 (/.f64 i (*.f64 n i)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 i 100))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))
(*.f64 100 (-.f64 (/.f64 1 (/.f64 i n)) (/.f64 n i)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(/.f64 100 (/.f64 i (*.f64 n (+.f64 i (*.f64 i (*.f64 i 1/2))))))
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i))
(*.f64 100 (+.f64 n (*.f64 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 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (/.f64 -1/2 n)))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(*.f64 (/.f64 n i) (*.f64 100 (+.f64 i (*.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n))))))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))))
(*.f64 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 i (*.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 i n)))
Outputs
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))
Calls

2 calls:

40.0ms
n
38.0ms
i
Results
ErrorSegmentsBranch
20.2b3i
19.5b3n
Compiler

Compiled 360 to 227 computations (36.9% saved)

bsearch210.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
40.0ms
1.857112140189127e-221
1.779042322021034e-218
170.0ms
-1.4385590605449516e-155
-4.981189259975665e-158
Compiler

Compiled 438 to 351 computations (19.9% saved)

regimes58.0ms (0.2%)

Counts
18 → 4
Calls
Call 1
Inputs
(*.f64 -50 i)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 50 i))
(*.f64 n (*.f64 50/3 (*.f64 i i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 100 (/.f64 i (*.f64 n i)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 i 100))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
Outputs
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
(*.f64 100 (/.f64 (*.f64 n i) i))
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
Calls

2 calls:

30.0ms
i
24.0ms
n
Results
ErrorSegmentsBranch
19.8b4i
23.0b3n
Compiler

Compiled 128 to 76 computations (40.6% saved)

bsearch680.0ms (2.7%)

Algorithm
3×binary-search
Steps
TimeLeftRight
65.0ms
896809763.0275569
2.302743421611979e+40
241.0ms
-2.370876729336427e-213
-1.2646798083414813e-219
374.0ms
-6.838361557900581e-18
-4.615505418040621e-29
Compiler

Compiled 506 to 394 computations (22.1% saved)

regimes56.0ms (0.2%)

Counts
16 → 4
Calls
Call 1
Inputs
(*.f64 -50 i)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 50 i))
(*.f64 n (*.f64 50/3 (*.f64 i i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 100 (/.f64 i (*.f64 n i)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 i 100))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
Outputs
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100))
Calls

2 calls:

30.0ms
i
22.0ms
n
Results
ErrorSegmentsBranch
19.8b4i
23.0b3n
Compiler

Compiled 110 to 65 computations (40.9% saved)

bsearch678.0ms (2.7%)

Algorithm
3×binary-search
Steps
TimeLeftRight
64.0ms
896809763.0275569
2.302743421611979e+40
240.0ms
-2.370876729336427e-213
-1.2646798083414813e-219
374.0ms
-6.838361557900581e-18
-4.615505418040621e-29
Compiler

Compiled 484 to 383 computations (20.9% saved)

regimes51.0ms (0.2%)

Counts
15 → 4
Calls
Call 1
Inputs
(*.f64 -50 i)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 50 i))
(*.f64 n (*.f64 50/3 (*.f64 i i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 100 (/.f64 i (*.f64 n i)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 i 100))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 n i) (*.f64 100 i))
Outputs
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 100 i) (/.f64 i n))
Calls

2 calls:

26.0ms
i
21.0ms
n
Results
ErrorSegmentsBranch
22.8b4i
24.3b3n
Compiler

Compiled 101 to 59 computations (41.6% saved)

bsearch916.0ms (3.6%)

Algorithm
3×binary-search
Steps
TimeLeftRight
328.0ms
8.133133482653897e-8
896809763.0275569
240.0ms
-2.370876729336427e-213
-1.2646798083414813e-219
347.0ms
-1110977331203724400.0
-128092892681742.84
Compiler

Compiled 382 to 277 computations (27.5% saved)

regimes47.0ms (0.2%)

Counts
13 → 4
Calls
Call 1
Inputs
(*.f64 -50 i)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 50 i))
(*.f64 n (*.f64 50/3 (*.f64 i i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 100 (/.f64 i (*.f64 n i)))
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 (/.f64 n i) (*.f64 i 100))
(*.f64 n (+.f64 100 (*.f64 i 50)))
Outputs
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 100 (/.f64 (*.f64 n i) i))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 100 i) (/.f64 i n))
Calls

2 calls:

25.0ms
i
19.0ms
n
Results
ErrorSegmentsBranch
22.8b4i
24.3b3n
Compiler

Compiled 87 to 53 computations (39.1% saved)

bsearch918.0ms (3.6%)

Algorithm
3×binary-search
Steps
TimeLeftRight
328.0ms
8.133133482653897e-8
896809763.0275569
241.0ms
-2.370876729336427e-213
-1.2646798083414813e-219
348.0ms
-1110977331203724400.0
-128092892681742.84
Compiler

Compiled 382 to 277 computations (27.5% saved)

regimes33.0ms (0.1%)

Counts
8 → 4
Calls
Call 1
Inputs
(*.f64 -50 i)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 50 i))
(*.f64 n (*.f64 50/3 (*.f64 i i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 100 (/.f64 i (*.f64 n i)))
(/.f64 (*.f64 100 i) (/.f64 i n))
Outputs
(/.f64 (*.f64 100 i) (/.f64 i n))
(/.f64 100 (/.f64 i (*.f64 n i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 (*.f64 100 i) (/.f64 i n))
Calls

2 calls:

18.0ms
i
13.0ms
n
Results
ErrorSegmentsBranch
22.8b4i
24.3b3n
Compiler

Compiled 52 to 34 computations (34.6% saved)

bsearch915.0ms (3.6%)

Algorithm
3×binary-search
Steps
TimeLeftRight
327.0ms
8.133133482653897e-8
896809763.0275569
241.0ms
-2.370876729336427e-213
-1.2646798083414813e-219
347.0ms
-1110977331203724400.0
-128092892681742.84
Compiler

Compiled 382 to 277 computations (27.5% saved)

regimes23.0ms (0.1%)

Counts
7 → 3
Calls
Call 1
Inputs
(*.f64 -50 i)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 50 i))
(*.f64 n (*.f64 50/3 (*.f64 i i)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(/.f64 100 (/.f64 i (*.f64 n i)))
Outputs
(*.f64 n 100)
(*.f64 n (*.f64 50/3 (*.f64 i i)))
(*.f64 n 100)
Calls

2 calls:

13.0ms
n
8.0ms
i
Results
ErrorSegmentsBranch
27.9b2i
27.7b3n
Compiler

Compiled 45 to 30 computations (33.3% saved)

bsearch117.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
29.0ms
1.8252991386817697e-294
2.3907196574505043e-291
87.0ms
-3.491592983228362e-216
-9.973891032745143e-218
Compiler

Compiled 262 to 195 computations (25.6% saved)

regimes15.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 -50 i)
(*.f64 n 100)
(/.f64 100 (/.f64 1 n))
(*.f64 n (*.f64 50 i))
Outputs
(*.f64 n 100)
(*.f64 n (*.f64 50 i))
(*.f64 n 100)
Calls

2 calls:

10.0ms
n
4.0ms
i
Results
ErrorSegmentsBranch
29.1b1i
27.9b3n
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch100.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
29.0ms
1.8252991386817697e-294
2.3907196574505043e-291
70.0ms
-1.3333349324287571e-258
-3.7039922672048846e-265
Compiler

Compiled 260 to 202 computations (22.3% saved)

regimes8.0ms (0%)

Accuracy

Total -33.2b remaining (-114.1%)

Threshold costs -33.2b (-114.1%)

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

2 calls:

3.0ms
n
3.0ms
i
Results
ErrorSegmentsBranch
29.1b1i
29.1b1n
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify38.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
31×*-commutative_binary64
13×+-commutative_binary64
6×sub-neg_binary64
2×distribute-lft-neg-in_binary64
2×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0141898
1189898
2199898
3204898
4207898
5208898
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)) 10000) (+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100)) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))))
(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)) 10000) (+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100)) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))))
(if (<=.f64 i -2836906186314247/28948022309329048855892746252171976963317496166410141009864396001978282409984) (*.f64 100 (/.f64 (-.f64 (+.f64 1 (*.f64 n (expm1.f64 i))) 1) i)) (if (<=.f64 i 880000000) (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) (+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))))
(if (<=.f64 i -2836906186314247/28948022309329048855892746252171976963317496166410141009864396001978282409984) (*.f64 100 (/.f64 (-.f64 (+.f64 1 (*.f64 n (expm1.f64 i))) 1) i)) (if (<=.f64 i 880000000) (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))))
(if (<=.f64 i -1303703024854071/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256) (*.f64 100 (/.f64 (-.f64 (+.f64 1 (*.f64 n (expm1.f64 i))) 1) i)) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))
(if (<=.f64 i -1303703024854071/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256) (/.f64 100 (/.f64 i (-.f64 (+.f64 1 (*.f64 (expm1.f64 i) n)) 1))) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))
(if (<=.f64 n -3429777051677817/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) (*.f64 (*.f64 (/.f64 100 i) (expm1.f64 i)) n) (if (<=.f64 n 6658392415923931/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) (*.f64 (*.f64 (/.f64 100 i) (expm1.f64 i)) n)))
(if (<=.f64 n -3429777051677817/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))) (if (<=.f64 n 7569889431858233/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))))
(if (<=.f64 i -8826904659509207/1298074214633706907132624082305024) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) (if (<=.f64 i -7189119173651433/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (*.f64 100 (/.f64 (*.f64 n i) i)) (if (<=.f64 i 21999999999999998975833115078927222571008) (+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)))))
(if (<=.f64 i -8826904659509207/1298074214633706907132624082305024) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) (if (<=.f64 i -7189119173651433/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (*.f64 100 (/.f64 (*.f64 n i) i)) (if (<=.f64 i 21999999999999998975833115078927222571008) (*.f64 n (+.f64 100 (*.f64 i 50))) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)))))
(if (<=.f64 i -1100000000000000000) (*.f64 100 (/.f64 i (/.f64 i n))) (if (<=.f64 i -7189119173651433/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (*.f64 100 (/.f64 (*.f64 n i) i)) (if (<=.f64 i 6195744825524975/75557863725914323419136) (*.f64 n (+.f64 100 (*.f64 i 50))) (/.f64 (*.f64 100 i) (/.f64 i n)))))
(if (<=.f64 i -1100000000000000000) (/.f64 (*.f64 100 i) (/.f64 i n)) (if (<=.f64 i -7189119173651433/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (*.f64 100 (/.f64 (*.f64 n i) i)) (if (<=.f64 i 6195744825524975/75557863725914323419136) (*.f64 n (+.f64 100 (*.f64 i 50))) (/.f64 (*.f64 100 i) (/.f64 i n)))))
(if (<=.f64 i -1100000000000000000) (/.f64 (*.f64 100 i) (/.f64 i n)) (if (<=.f64 i -7189119173651433/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (/.f64 100 (/.f64 i (*.f64 n i))) (if (<=.f64 i 6195744825524975/75557863725914323419136) (*.f64 n (+.f64 100 (*.f64 i 50))) (/.f64 (*.f64 100 i) (/.f64 i n)))))
(if (<=.f64 n -4968057895362269/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392) (*.f64 n 100) (if (<=.f64 n 5321171679192455/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456) (*.f64 n (*.f64 50/3 (*.f64 i i))) (*.f64 n 100)))
(if (<=.f64 n -6897783511005341/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648) (*.f64 n 100) (if (<=.f64 n 5321171679192455/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456) (*.f64 n (*.f64 50 i)) (*.f64 n 100)))
(*.f64 n 100)
(*.f64 -50 i)
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)) 10000) (+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100)) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))))
(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)) 10000) (+.f64 (*.f64 (/.f64 n i) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100)) (*.f64 (/.f64 n i) -100)) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) -1/2)))))
(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)) 10000) (+.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100)) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))))
(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)) 10000) (+.f64 (*.f64 (/.f64 n i) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100)) (*.f64 (/.f64 n i) -100)) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) -1/2)))))
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(if (<=.f64 i -2836906186314247/28948022309329048855892746252171976963317496166410141009864396001978282409984) (*.f64 100 (/.f64 (+.f64 (+.f64 1 (*.f64 n (expm1.f64 i))) -1) i)) (if (<=.f64 i 880000000) (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 (/.f64 1 n) -1/2)))))) (+.f64 (*.f64 (/.f64 n i) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100)) (*.f64 (/.f64 n i) -100))))
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(if (<=.f64 i -2836906186314247/28948022309329048855892746252171976963317496166410141009864396001978282409984) (*.f64 100 (/.f64 (+.f64 (+.f64 1 (*.f64 n (expm1.f64 i))) -1) i)) (if (<=.f64 i 880000000) (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 -1/2 (/.f64 1 n))))))) (*.f64 (/.f64 n i) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100))))
(if (<=.f64 i -2836906186314247/28948022309329048855892746252171976963317496166410141009864396001978282409984) (*.f64 100 (/.f64 (+.f64 (+.f64 1 (*.f64 n (expm1.f64 i))) -1) i)) (if (<=.f64 i 880000000) (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 (/.f64 1 n) -1/2)))))) (*.f64 (/.f64 n i) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100))))
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(if (<=.f64 i -1303703024854071/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256) (*.f64 100 (/.f64 (+.f64 (+.f64 1 (*.f64 n (expm1.f64 i))) -1) i)) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) -1/2))))
(if (<=.f64 i -1303703024854071/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256) (/.f64 100 (/.f64 i (-.f64 (+.f64 1 (*.f64 (expm1.f64 i) n)) 1))) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))))
(if (<=.f64 i -1303703024854071/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256) (/.f64 100 (/.f64 i (+.f64 (+.f64 1 (*.f64 n (expm1.f64 i))) -1))) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) -1/2))))
(if (<=.f64 n -3429777051677817/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) (*.f64 (*.f64 (/.f64 100 i) (expm1.f64 i)) n) (if (<=.f64 n 6658392415923931/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) (*.f64 (*.f64 (/.f64 100 i) (expm1.f64 i)) n)))
(if (<=.f64 n -3429777051677817/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i))) (if (<=.f64 n 6658392415923931/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776) (*.f64 0 (/.f64 n i)) (*.f64 n (*.f64 (expm1.f64 i) (/.f64 100 i)))))
(if (<=.f64 n -3429777051677817/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n)))) (if (<=.f64 n 7569889431858233/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))))))
(if (<=.f64 n -3429777051677817/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) -1/2))) (if (<=.f64 n 7569889431858233/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264) (*.f64 0 (/.f64 n i)) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) -1/2)))))
(if (<=.f64 i -8826904659509207/1298074214633706907132624082305024) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) (if (<=.f64 i -7189119173651433/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (*.f64 100 (/.f64 (*.f64 n i) i)) (if (<=.f64 i 21999999999999998975833115078927222571008) (+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)))))
(if (<=.f64 i -8826904659509207/1298074214633706907132624082305024) (*.f64 0 (/.f64 n i)) (if (<=.f64 i -7189119173651433/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (*.f64 100 (/.f64 (*.f64 i n) i)) (if (<=.f64 i 21999999999999998975833115078927222571008) (+.f64 (*.f64 (*.f64 i n) 50) (*.f64 n 100)) (*.f64 0 (/.f64 n i)))))
(if (<=.f64 i -8826904659509207/1298074214633706907132624082305024) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) (if (<=.f64 i -7189119173651433/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (*.f64 100 (/.f64 (*.f64 n i) i)) (if (<=.f64 i 21999999999999998975833115078927222571008) (*.f64 n (+.f64 100 (*.f64 i 50))) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)))))
(if (<=.f64 i -8826904659509207/1298074214633706907132624082305024) (*.f64 0 (/.f64 n i)) (if (<=.f64 i -7189119173651433/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (*.f64 100 (/.f64 (*.f64 i n) i)) (if (<=.f64 i 21999999999999998975833115078927222571008) (*.f64 n (+.f64 100 (*.f64 i 50))) (*.f64 0 (/.f64 n i)))))
(if (<=.f64 i -1100000000000000000) (*.f64 100 (/.f64 i (/.f64 i n))) (if (<=.f64 i -7189119173651433/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (*.f64 100 (/.f64 (*.f64 n i) i)) (if (<=.f64 i 6195744825524975/75557863725914323419136) (*.f64 n (+.f64 100 (*.f64 i 50))) (/.f64 (*.f64 100 i) (/.f64 i n)))))
(if (<=.f64 i -1100000000000000000) (*.f64 100 (/.f64 i (/.f64 i n))) (if (<=.f64 i -7189119173651433/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (*.f64 100 (/.f64 (*.f64 i n) i)) (if (<=.f64 i 6195744825524975/75557863725914323419136) (*.f64 n (+.f64 100 (*.f64 i 50))) (/.f64 (*.f64 i 100) (/.f64 i n)))))
(if (<=.f64 i -1100000000000000000) (/.f64 (*.f64 100 i) (/.f64 i n)) (if (<=.f64 i -7189119173651433/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (*.f64 100 (/.f64 (*.f64 n i) i)) (if (<=.f64 i 6195744825524975/75557863725914323419136) (*.f64 n (+.f64 100 (*.f64 i 50))) (/.f64 (*.f64 100 i) (/.f64 i n)))))
(if (<=.f64 i -1100000000000000000) (/.f64 (*.f64 i 100) (/.f64 i n)) (if (<=.f64 i -7189119173651433/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (*.f64 100 (/.f64 (*.f64 i n) i)) (if (<=.f64 i 6195744825524975/75557863725914323419136) (*.f64 n (+.f64 100 (*.f64 i 50))) (/.f64 (*.f64 i 100) (/.f64 i n)))))
(if (<=.f64 i -1100000000000000000) (/.f64 (*.f64 100 i) (/.f64 i n)) (if (<=.f64 i -7189119173651433/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (/.f64 100 (/.f64 i (*.f64 n i))) (if (<=.f64 i 6195744825524975/75557863725914323419136) (*.f64 n (+.f64 100 (*.f64 i 50))) (/.f64 (*.f64 100 i) (/.f64 i n)))))
(if (<=.f64 i -1100000000000000000) (/.f64 (*.f64 i 100) (/.f64 i n)) (if (<=.f64 i -7189119173651433/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (/.f64 100 (/.f64 i (*.f64 i n))) (if (<=.f64 i 6195744825524975/75557863725914323419136) (*.f64 n (+.f64 100 (*.f64 i 50))) (/.f64 (*.f64 i 100) (/.f64 i n)))))
(if (<=.f64 n -4968057895362269/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392) (*.f64 n 100) (if (<=.f64 n 5321171679192455/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456) (*.f64 n (*.f64 50/3 (*.f64 i i))) (*.f64 n 100)))
(if (<=.f64 n -6897783511005341/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648) (*.f64 n 100) (if (<=.f64 n 5321171679192455/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456) (*.f64 n (*.f64 50 i)) (*.f64 n 100)))
(if (<=.f64 n -6897783511005341/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648) (*.f64 n 100) (if (<=.f64 n 5321171679192455/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456) (*.f64 n (*.f64 i 50)) (*.f64 n 100)))
(*.f64 n 100)
(*.f64 -50 i)
(*.f64 i -50)
Compiler

Compiled 646 to 425 computations (34.2% saved)

soundness79.0ms (0.3%)

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
Compiler

Compiled 247 to 176 computations (28.7% saved)

end220.0ms (0.9%)

Compiler

Compiled 614 to 360 computations (41.4% saved)

Profiling

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