Details

Time bar (total: 23.3s)

analyze337.0ms (1.4%)

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

Compiled 18 to 12 computations (33.3% saved)

sample7.9s (33.8%)

Results
3.6s1779×body2048valid
2.3s2771×body1024valid
606.0ms1262×body512valid
518.0ms2415×body256valid
304.0ms175×body1024invalid
258.0ms1134×body256invalid
108.0ms227×body512invalid
100.0ms29×body4096valid
22.0ms19×body2048invalid

preprocess57.0ms (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)

simplify50.0ms (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
49.7b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶50.1b
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
▶49.7b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Compiler

Compiled 33 to 22 computations (33.3% saved)

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)))
✓1.7b
(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
✓8.0b
(pow.f64 (+.f64 1 (/.f64 i n)) n)
✓14.3b
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 58 to 29 computations (50% saved)

series30.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
5.0ms
i
@inf
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
3.0ms
n
@0
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
3.0ms
i
@inf
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
3.0ms
i
@-inf
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
2.0ms
n
@inf
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))

rewrite223.0ms (1%)

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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simplify218.0ms (0.9%)

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

Useful iterations: 2 (0.0ms)

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

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓1.7b
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
8.0b
(pow.f64 (+.f64 1 (/.f64 i n)) n)
✓14.8b
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
Compiler

Compiled 49 to 25 computations (49% saved)

series21.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
n
@0
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
3.0ms
n
@inf
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
2.0ms
i
@-inf
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
2.0ms
i
@inf
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))
1.0ms
n
@-inf
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))

rewrite73.0ms (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))))))

simplify86.0ms (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)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i)))))
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))))))
(*.f64 100 n)
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i)
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i) (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i)
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i) (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))))))
(*.f64 100 i)
(+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (+.f64 (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 4) (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))))))))
(-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))) 100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))) 100)
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)) (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4))))) (pow.f64 i 3)))))) 100)
(-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))))) 100)
(*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))))
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100)
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100)
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100)
Outputs
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (fma.f64 -1 (log.f64 n) (log.f64 i)))) i)
(*.f64 100 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i))
(*.f64 100 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))
(*.f64 100 (+.f64 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3)))))
(*.f64 100 (+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3)))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 (pow.f64 n 3) i) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i))))
(fma.f64 100 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (*.f64 100 (+.f64 (/.f64 (pow.f64 n 4) (/.f64 i (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i))))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))))))
(*.f64 100 (+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i) (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i)))))))
(*.f64 100 (+.f64 (+.f64 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 (pow.f64 n 3) i) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 (/.f64 -1/2 i) i))))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))))
(fma.f64 100 (/.f64 (pow.f64 n 5) (/.f64 i (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i) (fma.f64 1/24 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 4) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i)))))))) (fma.f64 100 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (*.f64 100 (+.f64 (/.f64 (pow.f64 n 4) (/.f64 i (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i))))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3)))))))
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 5) i) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (fma.f64 1/24 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))) (*.f64 100 (+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i) (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i))))))))
(*.f64 100 (+.f64 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 (/.f64 -1/2 i) i))))) (+.f64 (*.f64 (/.f64 (pow.f64 n 5) i) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (fma.f64 1/24 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))))))
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(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))))) 100)
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(+.f64 -100 (fma.f64 100 (*.f64 (/.f64 (*.f64 n n) i) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (fma.f64 100 (+.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (*.f64 (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (*.f64 -100 (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (pow.f64 i 3)) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6)))))))))
(+.f64 -100 (+.f64 (*.f64 100 (+.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) (*.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) (+.f64 (/.f64 n (/.f64 i n)) (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) (*.f64 i i)))))) (*.f64 (/.f64 -100 (pow.f64 i 3)) (*.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6))))))))
(*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))
(*.f64 100 (*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i))))
(*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))
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(*.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))

eval638.0ms (2.7%)

Compiler

Compiled 29258 to 15410 computations (47.3% saved)

prune160.0ms (0.7%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New69523718
Fresh000
Picked101
Done011
Total69624720
Error
0.0b
Counts
720 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
▶27.7b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
26.0b
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 1 n))))
30.8b
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
34.8b
(*.f64 100 (/.f64 i (/.f64 i n)))
52.5b
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
19.7b
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n))
20.4b
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
50.2b
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
31.5b
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
▶27.0b
(*.f64 n 100)
26.0b
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
✓49.7b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
49.7b
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n))
36.7b
(*.f64 (/.f64 n i) (*.f64 100 i))
20.1b
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))
50.1b
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
▶49.0b
(*.f64 (/.f64 n i) (-.f64 (*.f64 100 (exp.f64 i)) 100))
30.4b
(*.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)))))))
▶19.4b
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
45.1b
(*.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)))
▶55.1b
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
19.7b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
19.5b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
48.7b
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
Compiler

Compiled 709 to 493 computations (30.5% saved)

localize16.0ms (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)))
✓7.0b
(log1p.f64 (/.f64 i n))
✓13.8b
(*.f64 n (log1p.f64 (/.f64 i n)))
✓13.8b
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
Compiler

Compiled 49 to 10 computations (79.6% saved)

series15.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite120.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01052
121252
2284152
Stop Event
1×node limit
Counts
4 → 146
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))
(*.f64 n (log1p.f64 (/.f64 i n)))
(log1p.f64 (/.f64 i n))
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
Outputs
((#(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))))) 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simplify122.0ms (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
219×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03244287
110743990
240573798
Stop Event
1×node limit
Counts
242 → 284
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)
(+.f64 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)))) (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(+.f64 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)))) (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i) (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)) (/.f64 (log.f64 i) (pow.f64 i 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))))
(+.f64 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)))) (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i) (+.f64 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4)))))))) (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)) (/.f64 (log.f64 i) (pow.f64 i 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3))))))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i))))
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (+.f64 (*.f64 -1/2 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i)) (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (+.f64 (*.f64 -1/2 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i)))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4))) (exp.f64 i)) (*.f64 n i)) (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i)))))
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i)) (*.f64 -1/2 (*.f64 i (exp.f64 i))))))
n
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
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(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))))
Outputs
(/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)
(/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i))))
(*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))
(+.f64 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)))) (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))
(fma.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i))) (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))))
(fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))))
(+.f64 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)))) (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i) (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)) (/.f64 (log.f64 i) (pow.f64 i 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))))
(+.f64 (fma.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i))) (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i))))) (*.f64 (pow.f64 n 4) (-.f64 (fma.f64 -1 (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) i) (/.f64 (log.f64 i) (*.f64 i i)))) (/.f64 1/2 (pow.f64 i 3)))))
(fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (fma.f64 (pow.f64 n 4) (+.f64 (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 -1/2 (pow.f64 i 3))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))))
(fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (fma.f64 (pow.f64 n 4) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 -1/2 (pow.f64 i 3)))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))))
(+.f64 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)))) (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i) (+.f64 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4)))))))) (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)) (/.f64 (log.f64 i) (pow.f64 i 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3))))))))
(+.f64 (fma.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i))) (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i))))) (fma.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 4) i) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) (pow.f64 i 3)) (+.f64 (/.f64 1/2 (pow.f64 i 3)) (/.f64 1/3 (pow.f64 i 4)))))) (*.f64 (pow.f64 n 4) (-.f64 (fma.f64 -1 (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) i) (/.f64 (log.f64 i) (*.f64 i i)))) (/.f64 1/2 (pow.f64 i 3))))))
(+.f64 (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))) (fma.f64 (pow.f64 n 4) (+.f64 (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 -1/2 (pow.f64 i 3))) (*.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) i) (+.f64 (/.f64 1/3 (pow.f64 i 4)) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 i 3)) (/.f64 1/2 (pow.f64 i 3)))))))))
(+.f64 (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))) (fma.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) i) (+.f64 (/.f64 1/3 (pow.f64 i 4)) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 i 3)) (/.f64 1/2 (pow.f64 i 3)))))) (*.f64 (pow.f64 n 4) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 -1/2 (pow.f64 i 3)))))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 (expm1.f64 i) (/.f64 i n))
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i))))
(+.f64 (/.f64 n (/.f64 i (expm1.f64 i))) (*.f64 -1/2 (*.f64 i (exp.f64 i))))
(fma.f64 -1/2 (*.f64 i (exp.f64 i)) (/.f64 n (/.f64 i (expm1.f64 i))))
(fma.f64 -1/2 (*.f64 i (exp.f64 i)) (/.f64 (expm1.f64 i) (/.f64 i n)))
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (+.f64 (*.f64 -1/2 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))))
(+.f64 (/.f64 n (/.f64 i (expm1.f64 i))) (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (/.f64 n (/.f64 i (expm1.f64 i)))))
(+.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) (*.f64 (exp.f64 i) (+.f64 (*.f64 i -1/2) (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) (*.f64 n i)))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i)) (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (+.f64 (*.f64 -1/2 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i)))))
(+.f64 (+.f64 (/.f64 n (/.f64 i (expm1.f64 i))) (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i)))) (*.f64 (/.f64 (fma.f64 -1/48 (pow.f64 i 6) (fma.f64 -1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) -1/4))) (*.f64 n n)) (/.f64 (exp.f64 i) i)))
(fma.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) (*.f64 n n)) (/.f64 (exp.f64 i) i) (fma.f64 (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (/.f64 n (/.f64 i (expm1.f64 i))))))
(+.f64 (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (/.f64 (expm1.f64 i) (/.f64 i n))) (*.f64 (/.f64 (exp.f64 i) i) (+.f64 (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) (*.f64 n n)))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 i)))
(/.f64 (expm1.f64 i) (/.f64 i n))
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i))))
(+.f64 (/.f64 n (/.f64 i (expm1.f64 i))) (*.f64 -1/2 (*.f64 i (exp.f64 i))))
(fma.f64 -1/2 (*.f64 i (exp.f64 i)) (/.f64 n (/.f64 i (expm1.f64 i))))
(fma.f64 -1/2 (*.f64 i (exp.f64 i)) (/.f64 (expm1.f64 i) (/.f64 i n)))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4))) (exp.f64 i)) (*.f64 n i)) (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i)))))
(+.f64 (/.f64 n (/.f64 i (expm1.f64 i))) (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (/.f64 n (/.f64 i (expm1.f64 i)))))
(+.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) (*.f64 (exp.f64 i) (+.f64 (*.f64 i -1/2) (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) (*.f64 n i)))))
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i)) (*.f64 -1/2 (*.f64 i (exp.f64 i))))))
(+.f64 (/.f64 n (/.f64 i (expm1.f64 i))) (fma.f64 -1 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (/.f64 (fma.f64 1/48 (pow.f64 i 6) (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))) i)) (fma.f64 -1/2 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i)))))
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n
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 n (*.f64 (*.f64 n i) (-.f64 1/2 (/.f64 1/2 n))))
(fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n)
(fma.f64 (*.f64 n i) (-.f64 1/2 (/.f64 1/2 n)) n)
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
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(fma.f64 n (fma.f64 (*.f64 i i) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n)
(fma.f64 n (*.f64 i (+.f64 (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))) i))) n)
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(/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)
(/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))))
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(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))))))
(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) (fma.f64 100 (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4)))))) (*.f64 100 (+.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) (/.f64 n (/.f64 (pow.f64 i 4) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 -1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 4) 1/3))))))))))
(fma.f64 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) 100 (*.f64 100 (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (+.f64 (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))))) (*.f64 (/.f64 n (pow.f64 i 4)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 (pow.f64 n 4) 1/3 (*.f64 (pow.f64 n 5) -1/2)))))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n i) (+.f64 (fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) -1) (/.f64 (*.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4)))) (*.f64 i i)))) (+.f64 (*.f64 (/.f64 n (pow.f64 i 4)) (*.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 (pow.f64 n 4) 1/3 (*.f64 (pow.f64 n 5) -1/2))))) (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n))))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))
(*.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) 100)
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) 100)
(*.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) 100)
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))
(*.f64 100 (+.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))))
(*.f64 (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) 100)
(*.f64 (+.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)))) 100)
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))))
(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (*.f64 100 (+.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (+.f64 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))))))
(*.f64 100 (+.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) i) (+.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (*.f64 n (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4)))) (*.f64 i i))))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))))
(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (fma.f64 100 (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) (fma.f64 -100 (/.f64 (*.f64 (*.f64 n (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))) (fma.f64 -1/3 (pow.f64 n 4) (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 4)) (*.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) 100))))
(+.f64 (*.f64 100 (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (+.f64 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))))))) (/.f64 (*.f64 n -100) (/.f64 (/.f64 (pow.f64 i 4) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6)))))))
(+.f64 (*.f64 100 (+.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) i) (+.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (*.f64 n (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4)))) (*.f64 i i)))))) (*.f64 (*.f64 (/.f64 n (pow.f64 i 4)) (*.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6)))))) -100))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))
✓0.0b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
✓0.1b
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))
✓6.8b
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
Compiler

Compiled 70 to 52 computations (25.7% saved)

series12.0ms (0.1%)

Counts
4 → 51
Calls

21 calls:

TimeVariablePointExpression
3.0ms
i
@0
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
1.0ms
n
@0
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
1.0ms
n
@-inf
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
1.0ms
i
@inf
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))
1.0ms
n
@inf
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))

rewrite83.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

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

simplify63.0ms (0.3%)

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

Useful iterations: 5 (0.0ms)

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓3.1b
(-.f64 (*.f64 100 (exp.f64 i)) 100)
✓17.0b
(*.f64 (/.f64 n i) (-.f64 (*.f64 100 (exp.f64 i)) 100))
Compiler

Compiled 30 to 16 computations (46.7% saved)

series6.0ms (0%)

Counts
2 → 28
Calls

9 calls:

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

rewrite95.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
496×log-prod_binary64
383×prod-exp_binary64
375×exp-prod_binary64
341×pow-prod-down_binary64
259×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
119820
2266720
Stop Event
1×node limit
Counts
2 → 115
Calls
Call 1
Inputs
(*.f64 (/.f64 n i) (-.f64 (*.f64 100 (exp.f64 i)) 100))
(-.f64 (*.f64 100 (exp.f64 i)) 100)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 100 (exp.f64 i)) (/.f64 n i)) (*.f64 -100 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 n i) (*.f64 100 (exp.f64 i))) (*.f64 (/.f64 n i) -100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)) (/.f64 n i))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)) (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)) (/.f64 n i)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)) (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 n (/.f64 i (fma.f64 100 (exp.f64 i) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 100 (exp.f64 i) -100) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 i (*.f64 n (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1000000 (pow.f64 (exp.f64 i) 3) -1000000) (*.f64 (/.f64 i n) (fma.f64 10000 (exp.f64 (+.f64 i i)) (fma.f64 (exp.f64 i) 10000 10000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 10000 (exp.f64 (+.f64 i i)) -10000) (*.f64 (/.f64 i n) (fma.f64 100 (exp.f64 i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (fma.f64 1000000 (pow.f64 (exp.f64 i) 3) -1000000)) (*.f64 i (fma.f64 10000 (exp.f64 (+.f64 i i)) (fma.f64 (exp.f64 i) 10000 10000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) 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(fma.f64 100 (exp.f64 i) -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))) 1))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 100 (exp.f64 i)) -100)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -100 (*.f64 100 (exp.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 100 (exp.f64 i) -100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 i))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 100 (exp.f64 i) -100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 100 (exp.f64 i) -100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 100 (exp.f64 i) -100)) (pow.f64 (cbrt.f64 (fma.f64 100 (exp.f64 i) -100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 100 (exp.f64 i) -100)) 2) (cbrt.f64 (fma.f64 100 (exp.f64 i) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 100 (exp.f64 i) -100)) (sqrt.f64 (fma.f64 100 (exp.f64 i) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1000000 (pow.f64 (exp.f64 i) 3) -1000000) (/.f64 1 (fma.f64 10000 (exp.f64 (+.f64 i i)) (fma.f64 (exp.f64 i) 10000 10000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 10000 (exp.f64 (+.f64 i i)) -10000) (/.f64 1 (fma.f64 100 (exp.f64 i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 10000 (exp.f64 (+.f64 i i)) (fma.f64 (exp.f64 i) 10000 10000)) (fma.f64 1000000 (pow.f64 (exp.f64 i) 3) -1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 100 (exp.f64 i) 100) (fma.f64 10000 (exp.f64 (+.f64 i i)) -10000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1000000 (pow.f64 (exp.f64 i) 3) -1000000) (fma.f64 10000 (exp.f64 (+.f64 i i)) (fma.f64 (exp.f64 i) 10000 10000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1000000 (pow.f64 (exp.f64 i) 3) -1000000) (fma.f64 10000 (exp.f64 (+.f64 i i)) (-.f64 10000 (*.f64 (*.f64 100 (exp.f64 i)) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 10000 (exp.f64 (+.f64 i i)) -10000) (fma.f64 100 (exp.f64 i) 100))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1000000 (pow.f64 (exp.f64 i) 3) -1000000)) (neg.f64 (fma.f64 10000 (exp.f64 (+.f64 i i)) (fma.f64 (exp.f64 i) 10000 10000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 10000 (exp.f64 (+.f64 i i)) -10000)) (neg.f64 (fma.f64 100 (exp.f64 i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 100 (exp.f64 i) -100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 100 (exp.f64 i) -100) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 100 (exp.f64 i) -100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 100 (exp.f64 i) -100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 100 (exp.f64 i) -100)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 100 (exp.f64 i) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 10000 (exp.f64 (+.f64 i i)) (fma.f64 (exp.f64 i) 10000 10000)) (fma.f64 1000000 (pow.f64 (exp.f64 i) 3) -1000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 100 (exp.f64 i) 100) (fma.f64 10000 (exp.f64 (+.f64 i i)) -10000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 100 (exp.f64 i) -100))) 2)) (cbrt.f64 (log.f64 (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 100 (exp.f64 i) -100)))) (sqrt.f64 (log.f64 (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 100 (exp.f64 i) -100) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 100 (exp.f64 i) -100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 100 (exp.f64 i) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 100 (exp.f64 i) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 100 (exp.f64 i) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 100 (exp.f64 i) -100)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 100 (exp.f64 i) -100))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 100 (exp.f64 i) -100))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 100 (exp.f64 i) -100))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 100 (exp.f64 i) -100)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 100 (exp.f64 i) -100)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 i) 100 -100)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (exp.f64 i)) 1 -100)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 100 (exp.f64 i)) -100)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (+.f64 i i))) (*.f64 (cbrt.f64 (exp.f64 i)) 100) -100)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 100 (exp.f64 i))) (cbrt.f64 (*.f64 10000 (exp.f64 (+.f64 i i)))) -100)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 10000 (exp.f64 (+.f64 i i)))) (cbrt.f64 (*.f64 100 (exp.f64 i))) -100)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 i)) (*.f64 (sqrt.f64 (exp.f64 i)) 100) -100)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 10 (sqrt.f64 (exp.f64 i))) (*.f64 10 (sqrt.f64 (exp.f64 i))) -100)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (cbrt.f64 (exp.f64 (+.f64 i i)))) (cbrt.f64 (exp.f64 i)) -100)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (sqrt.f64 (exp.f64 i))) (sqrt.f64 (exp.f64 i)) -100)))))

simplify73.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
803×unswap-sqr_binary64
762×fma-def_binary64
570×distribute-lft-out_binary64
432×*-commutative_binary64
345×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040385
1111385
2277379
3880354
42794354
54667354
67607354
Stop Event
1×node limit
Counts
143 → 132
Calls
Call 1
Inputs
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) 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 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) 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 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) 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 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) 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 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) 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 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) 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 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 100 i)
(+.f64 (*.f64 100 i) (*.f64 50 (pow.f64 i 2)))
(+.f64 (*.f64 100 i) (+.f64 (*.f64 50/3 (pow.f64 i 3)) (*.f64 50 (pow.f64 i 2))))
(+.f64 (*.f64 100 i) (+.f64 (*.f64 50/3 (pow.f64 i 3)) (+.f64 (*.f64 50 (pow.f64 i 2)) (*.f64 25/6 (pow.f64 i 4)))))
Outputs
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(*.f64 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(*.f64 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(*.f64 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(*.f64 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(*.f64 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(*.f64 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(*.f64 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(*.f64 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(*.f64 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(*.f64 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(*.f64 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(*.f64 (fma.f64 100 (exp.f64 i) -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 n (*.f64 i 50)))
(*.f64 n (+.f64 100 (*.f64 i 50)))
(*.f64 n (fma.f64 i 50 100))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(fma.f64 50 (*.f64 n i) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 n 100)))
(fma.f64 50 (*.f64 n i) (fma.f64 n 100 (*.f64 n (*.f64 (*.f64 i i) 50/3))))
(fma.f64 (*.f64 i i) (*.f64 n 50/3) (*.f64 n (+.f64 100 (*.f64 i 50))))
(*.f64 n (+.f64 100 (*.f64 i (fma.f64 i 50/3 50))))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))))
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 n 100))))
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 n 100 (*.f64 n (*.f64 (*.f64 i i) 50/3)))))
(fma.f64 (pow.f64 i 3) (*.f64 n 25/6) (fma.f64 (*.f64 i i) (*.f64 n 50/3) (*.f64 n (+.f64 100 (*.f64 i 50)))))
(*.f64 n (+.f64 (*.f64 i (fma.f64 i 50/3 50)) (fma.f64 25/6 (pow.f64 i 3) 100)))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(*.f64 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(*.f64 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(*.f64 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(*.f64 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(*.f64 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(*.f64 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(*.f64 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) i)
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))
(*.f64 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(*.f64 100 i)
(+.f64 (*.f64 100 i) (*.f64 50 (pow.f64 i 2)))
(fma.f64 100 i (*.f64 50 (*.f64 i i)))
(*.f64 i (+.f64 100 (*.f64 i 50)))
(*.f64 i (fma.f64 i 50 100))
(+.f64 (*.f64 100 i) (+.f64 (*.f64 50/3 (pow.f64 i 3)) (*.f64 50 (pow.f64 i 2))))
(fma.f64 100 i (fma.f64 50/3 (pow.f64 i 3) (*.f64 50 (*.f64 i i))))
(fma.f64 100 i (fma.f64 50 (*.f64 i i) (*.f64 50/3 (pow.f64 i 3))))
(fma.f64 100 i (*.f64 (*.f64 i i) (+.f64 50 (*.f64 i 50/3))))
(*.f64 i (+.f64 100 (*.f64 i (fma.f64 i 50/3 50))))
(+.f64 (*.f64 100 i) (+.f64 (*.f64 50/3 (pow.f64 i 3)) (+.f64 (*.f64 50 (pow.f64 i 2)) (*.f64 25/6 (pow.f64 i 4)))))
(fma.f64 100 i (fma.f64 50/3 (pow.f64 i 3) (fma.f64 50 (*.f64 i i) (*.f64 25/6 (pow.f64 i 4)))))
(fma.f64 100 i (fma.f64 25/6 (pow.f64 i 4) (*.f64 (*.f64 i i) (+.f64 50 (*.f64 i 50/3)))))
(fma.f64 i (fma.f64 i 50 100) (*.f64 (pow.f64 i 3) (+.f64 (*.f64 i 25/6) 50/3)))
(*.f64 i (+.f64 (*.f64 i (fma.f64 i 50/3 50)) (fma.f64 25/6 (pow.f64 i 3) 100)))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
✓0.1b
(*.f64 n (-.f64 (log.f64 i) (log.f64 n)))
✓0.1b
(*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))
✓0.1b
(-.f64 (log.f64 i) (log.f64 n))
Compiler

Compiled 46 to 13 computations (71.7% saved)

series230.0ms (1%)

Counts
4 → 76
Calls

24 calls:

TimeVariablePointExpression
84.0ms
i
@0
(-.f64 (log.f64 i) (log.f64 n))
63.0ms
n
@0
(-.f64 (log.f64 i) (log.f64 n))
14.0ms
i
@-inf
(-.f64 (log.f64 i) (log.f64 n))
11.0ms
n
@-inf
(-.f64 (log.f64 i) (log.f64 n))
10.0ms
n
@0
(*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))

rewrite96.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
657×log-prod_binary64
384×prod-diff_binary64
312×pow2_binary64
282×pow-unpow_binary64
220×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
123945
2326045
Stop Event
1×node limit
Counts
4 → 186
Calls
Call 1
Inputs
(-.f64 (log.f64 i) (log.f64 n))
(*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))
(*.f64 n (-.f64 (log.f64 i) (log.f64 n)))
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
Outputs
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n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 i n))) (log.f64 (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (log.f64 (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (cbrt.f64 (*.f64 i i)) 1)) (log.f64 (/.f64 (cbrt.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (sqrt.f64 i) 1)) (log.f64 (/.f64 (sqrt.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2))) (log.f64 (/.f64 i (cbrt.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (cbrt.f64 (*.f64 i i)) (pow.f64 (cbrt.f64 n) 2))) (log.f64 (/.f64 (cbrt.f64 i) (cbrt.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (sqrt.f64 i) (pow.f64 (cbrt.f64 n) 2))) (log.f64 (/.f64 (sqrt.f64 i) (cbrt.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1 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(+.f64 1 (-.f64 n 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 i 1)) (exp.f64 (neg.f64 (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 i 1)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 n))) i))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 n) i))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (log.f64 n))) (+.f64 1 (-.f64 i 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 n) (+.f64 1 (-.f64 i 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 i n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 i n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 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simplify98.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
761×div-sub_binary64
619×associate-*l*_binary64
566×distribute-rgt-in_binary64
544×associate-*r*_binary64
504×distribute-lft-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0571180
11451052
23811052
314621052
467551052
Stop Event
1×node limit
Counts
262 → 209
Calls
Call 1
Inputs
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 n))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 n))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 n))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 n))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 -1)) (log.f64 n))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 -1)) (log.f64 n))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 -1)) (log.f64 n))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 -1)) (log.f64 n))
(-.f64 (log.f64 i) (*.f64 -1 (log.f64 (/.f64 1 n))))
(-.f64 (log.f64 i) (*.f64 -1 (log.f64 (/.f64 1 n))))
(-.f64 (log.f64 i) (*.f64 -1 (log.f64 (/.f64 1 n))))
(-.f64 (log.f64 i) (*.f64 -1 (log.f64 (/.f64 1 n))))
(-.f64 (log.f64 i) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(-.f64 (log.f64 i) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(-.f64 (log.f64 i) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(-.f64 (log.f64 i) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))
(*.f64 100 (*.f64 n (-.f64 (log.f64 i) (*.f64 -1 (log.f64 (/.f64 1 n))))))
(*.f64 100 (*.f64 n (-.f64 (log.f64 i) (*.f64 -1 (log.f64 (/.f64 1 n))))))
(*.f64 100 (*.f64 n (-.f64 (log.f64 i) (*.f64 -1 (log.f64 (/.f64 1 n))))))
(*.f64 100 (*.f64 n (-.f64 (log.f64 i) (*.f64 -1 (log.f64 (/.f64 1 n))))))
(*.f64 100 (*.f64 n (-.f64 (log.f64 i) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))))
(*.f64 100 (*.f64 n (-.f64 (log.f64 i) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))))
(*.f64 100 (*.f64 n (-.f64 (log.f64 i) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))))
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(*.f64 (/.f64 100 i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (/.f64 i n) 100)))
(*.f64 100 (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 n 2)) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (-.f64 (log.f64 i) (log.f64 n)))))
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100) (/.f64 i (*.f64 n n)))
(*.f64 (/.f64 100 i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (/.f64 i n) 100)))
(*.f64 100 (/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 n 2)) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (-.f64 (log.f64 i) (log.f64 n)))))
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100) (/.f64 i (*.f64 n n)))
(*.f64 (/.f64 100 i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (/.f64 i n) 100)))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (log.f64 i) (*.f64 -1 (log.f64 (/.f64 1 n))))) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (-.f64 (log.f64 i) (log.f64 n)))))
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100) (/.f64 i (*.f64 n n)))
(*.f64 (/.f64 100 i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (/.f64 i n) 100)))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (log.f64 i) (*.f64 -1 (log.f64 (/.f64 1 n))))) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (-.f64 (log.f64 i) (log.f64 n)))))
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100) (/.f64 i (*.f64 n n)))
(*.f64 (/.f64 100 i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (/.f64 i n) 100)))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (log.f64 i) (*.f64 -1 (log.f64 (/.f64 1 n))))) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (-.f64 (log.f64 i) (log.f64 n)))))
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100) (/.f64 i (*.f64 n n)))
(*.f64 (/.f64 100 i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (/.f64 i n) 100)))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (log.f64 i) (*.f64 -1 (log.f64 (/.f64 1 n))))) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (-.f64 (log.f64 i) (log.f64 n)))))
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100) (/.f64 i (*.f64 n n)))
(*.f64 (/.f64 100 i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (/.f64 i n) 100)))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (log.f64 i) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (-.f64 (log.f64 i) (log.f64 n)))))
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100) (/.f64 i (*.f64 n n)))
(*.f64 (/.f64 100 i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (/.f64 i n) 100)))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (log.f64 i) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (-.f64 (log.f64 i) (log.f64 n)))))
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100) (/.f64 i (*.f64 n n)))
(*.f64 (/.f64 100 i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (/.f64 i n) 100)))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (log.f64 i) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (-.f64 (log.f64 i) (log.f64 n)))))
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100) (/.f64 i (*.f64 n n)))
(*.f64 (/.f64 100 i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (/.f64 i n) 100)))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (log.f64 i) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (-.f64 (log.f64 i) (log.f64 n)))))
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100) (/.f64 i (*.f64 n n)))
(*.f64 (/.f64 100 i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (/.f64 i n) 100)))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (log.f64 i) (log.f64 n))) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (-.f64 (log.f64 i) (log.f64 n)))))
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100) (/.f64 i (*.f64 n n)))
(*.f64 (/.f64 100 i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (/.f64 i n) 100)))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (log.f64 i) (log.f64 n))) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (-.f64 (log.f64 i) (log.f64 n)))))
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100) (/.f64 i (*.f64 n n)))
(*.f64 (/.f64 100 i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (/.f64 i n) 100)))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (log.f64 i) (log.f64 n))) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (-.f64 (log.f64 i) (log.f64 n)))))
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100) (/.f64 i (*.f64 n n)))
(*.f64 (/.f64 100 i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (/.f64 i n) 100)))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (log.f64 i) (log.f64 n))) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (-.f64 (log.f64 i) (log.f64 n)))))
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100) (/.f64 i (*.f64 n n)))
(*.f64 (/.f64 100 i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (/.f64 i n) 100)))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 n))) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (-.f64 (log.f64 i) (log.f64 n)))))
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100) (/.f64 i (*.f64 n n)))
(*.f64 (/.f64 100 i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (/.f64 i n) 100)))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 n))) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (-.f64 (log.f64 i) (log.f64 n)))))
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100) (/.f64 i (*.f64 n n)))
(*.f64 (/.f64 100 i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (/.f64 i n) 100)))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 n))) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (-.f64 (log.f64 i) (log.f64 n)))))
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100) (/.f64 i (*.f64 n n)))
(*.f64 (/.f64 100 i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (/.f64 i n) 100)))
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 n))) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (-.f64 (log.f64 i) (log.f64 n)))))
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100) (/.f64 i (*.f64 n n)))
(*.f64 (/.f64 100 i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (/.f64 i n) 100)))
(*.f64 100 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 -1)) (log.f64 n)) (pow.f64 n 2)) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (-.f64 (log.f64 i) (log.f64 n)))))
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100) (/.f64 i (*.f64 n n)))
(*.f64 (/.f64 100 i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (/.f64 i n) 100)))
(*.f64 100 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 -1)) (log.f64 n)) (pow.f64 n 2)) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (-.f64 (log.f64 i) (log.f64 n)))))
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100) (/.f64 i (*.f64 n n)))
(*.f64 (/.f64 100 i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (/.f64 i n) 100)))
(*.f64 100 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 -1)) (log.f64 n)) (pow.f64 n 2)) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (-.f64 (log.f64 i) (log.f64 n)))))
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100) (/.f64 i (*.f64 n n)))
(*.f64 (/.f64 100 i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (/.f64 i n) 100)))
(*.f64 100 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 -1)) (log.f64 n)) (pow.f64 n 2)) i))
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (-.f64 (log.f64 i) (log.f64 n)))))
(/.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100) (/.f64 i (*.f64 n n)))
(*.f64 (/.f64 100 i) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 n n)))
(*.f64 n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (/.f64 (/.f64 i n) 100)))

eval376.0ms (1.6%)

Compiler

Compiled 17525 to 9767 computations (44.3% saved)

prune156.0ms (0.7%)

Pruning

25 alts after pruning (21 fresh and 4 done)

PrunedKeptTotal
New79213805
Fresh10818
Picked101
Done145
Total80425829
Error
0b
Counts
829 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
52.4b
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (log.f64 (/.f64 i n)))))
30.8b
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
36.7b
(*.f64 (/.f64 n i) (*.f64 100 i))
▶50.2b
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
26.0b
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 1 n))))
27.3b
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
31.5b
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
✓27.0b
(*.f64 n 100)
▶19.5b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
51.4b
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (neg.f64 (log.f64 (/.f64 n i))))))
▶48.7b
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
27.6b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i 1/2))))
▶19.7b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
26.0b
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
19.7b
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n))
✓49.7b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
49.7b
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n))
20.4b
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
✓49.0b
(*.f64 (/.f64 n i) (-.f64 (*.f64 100 (exp.f64 i)) 100))
30.4b
(*.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)))))))
✓19.4b
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
45.1b
(*.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)))
34.8b
(*.f64 100 (/.f64 i (/.f64 i n)))
▶62.3b
(*.f64 i -50)
27.5b
(fma.f64 n 100 (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100))
Compiler

Compiled 659 to 457 computations (30.7% 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)
7.0b
(log1p.f64 (/.f64 i n))
13.8b
(*.f64 n (log1p.f64 (/.f64 i n)))
✓13.9b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
Compiler

Compiled 47 to 12 computations (74.5% saved)

series7.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite89.0ms (0.4%)

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
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simplify93.0ms (0.4%)

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))))
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(*.f64 100 n)
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(*.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))
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(*.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))
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(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))))
(*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (/.f64 (log.f64 i) i) (*.f64 -1 (/.f64 (log.f64 n) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))) (pow.f64 n 3))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (/.f64 (log.f64 i) i) (*.f64 -1 (/.f64 (log.f64 n) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))) (pow.f64 n 3))) (+.f64 (*.f64 100 (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))))) (pow.f64 n 4))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (-.f64 (exp.f64 i) 1)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (-.f64 (exp.f64 i) 1))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (-.f64 (exp.f64 i) 1)))))
(*.f64 100 (-.f64 (exp.f64 i) 1))
(+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (-.f64 (exp.f64 i) 1)))
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (-.f64 (exp.f64 i) 1))))
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (-.f64 (exp.f64 i) 1)) (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (pow.f64 n 3))))))
(*.f64 100 i)
(+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (+.f64 (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 4) (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))))))))
(*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1))
(+.f64 (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))
(+.f64 (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))))
(+.f64 (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)) (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4))))) (pow.f64 i 3))))))
(*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1))
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(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (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)))
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(*.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))))))

localize50.0ms (0.2%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize68.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓14.3b
(/.f64 (-.f64 1 1) (/.f64 i n))
Compiler

Compiled 28 to 18 computations (35.7% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite47.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
535×pow1_binary64
512×add-sqr-sqrt_binary64
496×add-log-exp_binary64
495×log1p-expm1-u_binary64
495×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081
11411
214241
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (-.f64 1 1) (/.f64 i n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))

simplify8.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
Stop Event
1×saturated
Counts
25 → 1
Calls
Call 1
Inputs
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Outputs
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0

localize36.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100))
✓0.1b
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
3.1b
(-.f64 (*.f64 100 (exp.f64 i)) 100)
Compiler

Compiled 35 to 21 computations (40% saved)

series5.0ms (0%)

Counts
2 → 8
Calls

12 calls:

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

rewrite118.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
516×log-prod_binary64
395×exp-prod_binary64
313×pow-prod-down_binary64
259×pow2_binary64
182×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
119823
2268523
Stop Event
1×node limit
Counts
2 → 93
Calls
Call 1
Inputs
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 n i)) (fma.f64 100 (exp.f64 i) -100))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 n i)) (fma.f64 100 (exp.f64 i) -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 n i)) (fma.f64 100 (exp.f64 i) -100)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 n i)) (fma.f64 100 (exp.f64 i) -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (/.f64 1 (/.f64 i (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (*.f64 (fma.f64 100 (exp.f64 i) -100) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 100 (exp.f64 i) -100) (*.f64 n (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))) 2) (*.f64 (cbrt.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))) 2) (cbrt.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))) (*.f64 (sqrt.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))) (sqrt.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (neg.f64 (fma.f64 100 (exp.f64 i) -100))) (/.f64 1 (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (*.f64 n (fma.f64 100 (exp.f64 i) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n 1) (/.f64 (fma.f64 100 (exp.f64 i) -100) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 100 (exp.f64 i) -100) 1) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))) 2) 1) (/.f64 (cbrt.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))) 1) (/.f64 (sqrt.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (pow.f64 (cbrt.f64 i) 2)) (/.f64 (fma.f64 100 (exp.f64 i) -100) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 100 (exp.f64 i) -100) (pow.f64 (cbrt.f64 i) 2)) (/.f64 n (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 i) -2) (/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))) 2) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))) (pow.f64 (cbrt.f64 i) 2)) (/.f64 (sqrt.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (sqrt.f64 i)) (/.f64 (fma.f64 100 (exp.f64 i) -100) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 100 (exp.f64 i) -100) (sqrt.f64 i)) (/.f64 n (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 i -1/2) (/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))) 2) (sqrt.f64 i)) (/.f64 (cbrt.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 i n) (fma.f64 100 (exp.f64 i) -100)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) 3) (pow.f64 i 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 i n) (fma.f64 100 (exp.f64 i) -100)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 n i)) (fma.f64 100 (exp.f64 i) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) 3) (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 i n) (fma.f64 100 (exp.f64 i) -100))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 n) 1) (log.f64 (/.f64 i (fma.f64 100 (exp.f64 i) -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))) 1) (log.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))) (*.f64 (log.f64 i) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))) 1) (*.f64 (log.f64 i) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 n (fma.f64 100 (exp.f64 i) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 100 (exp.f64 i)) n) (*.f64 -100 n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (*.f64 100 (exp.f64 i))) (*.f64 n -100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)) n)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)) n))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (exp.f64 i) 3) 1000000 -1000000) n) (fma.f64 (pow.f64 (exp.f64 i) 2) 10000 (fma.f64 (exp.f64 i) 10000 10000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (exp.f64 i) 2) 10000 -10000) n) (fma.f64 100 (exp.f64 i) 100))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (fma.f64 (pow.f64 (exp.f64 i) 3) 1000000 -1000000)) (fma.f64 (pow.f64 (exp.f64 i) 2) 10000 (fma.f64 (exp.f64 i) 10000 10000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (fma.f64 (pow.f64 (exp.f64 i) 2) 10000 -10000)) (fma.f64 100 (exp.f64 i) 100))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)))) 2)) (cbrt.f64 (log.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))))) (sqrt.f64 (log.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 100) (expm1.f64 i)) n))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 n (fma.f64 100 (exp.f64 i) -100))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 n (*.f64 100 (exp.f64 i)) (*.f64 n -100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (exp.f64 i)) n (*.f64 -100 n))))))

simplify123.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
996×fma-def_binary64
907×unswap-sqr_binary64
799×*-commutative_binary64
527×distribute-rgt-out_binary64
488×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036155
1105155
2288141
3936114
43472114
54411114
64952114
75065114
85204114
95380114
106006114
117749114
Stop Event
1×node limit
Counts
101 → 108
Calls
Call 1
Inputs
(*.f64 100 n)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))))
(*.f64 100 (*.f64 n i))
(+.f64 (*.f64 50 (*.f64 n (pow.f64 i 2))) (*.f64 100 (*.f64 n i)))
(+.f64 (*.f64 50 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 3))) (*.f64 100 (*.f64 n i))))
(+.f64 (*.f64 50 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 4))) (*.f64 100 (*.f64 n i)))))
Outputs
(*.f64 100 n)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(fma.f64 50 (*.f64 n i) (*.f64 100 n))
(fma.f64 100 n (*.f64 n (*.f64 i 50)))
(*.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)))
(fma.f64 50 (*.f64 n i) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 100 n)))
(fma.f64 50 (*.f64 n i) (fma.f64 100 n (*.f64 50/3 (*.f64 n (*.f64 i i)))))
(fma.f64 n (*.f64 50/3 (*.f64 i i)) (*.f64 n (+.f64 100 (*.f64 50 i))))
(*.f64 n (+.f64 (*.f64 i (+.f64 (*.f64 i 50/3) 50)) 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 100 n))))
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 100 n (*.f64 50/3 (*.f64 n (*.f64 i i))))))
(fma.f64 n (*.f64 25/6 (pow.f64 i 3)) (fma.f64 n (*.f64 50/3 (*.f64 i i)) (*.f64 n (+.f64 100 (*.f64 50 i)))))
(*.f64 n (+.f64 (fma.f64 50 i 100) (*.f64 (*.f64 i i) (+.f64 50/3 (*.f64 i 25/6)))))
(*.f64 n (+.f64 (fma.f64 25/6 (pow.f64 i 3) 100) (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (*.f64 n i))
(*.f64 n (*.f64 100 i))
(+.f64 (*.f64 50 (*.f64 n (pow.f64 i 2))) (*.f64 100 (*.f64 n i)))
(fma.f64 50 (*.f64 n (*.f64 i i)) (*.f64 100 (*.f64 n i)))
(fma.f64 100 (*.f64 n i) (*.f64 (*.f64 n (*.f64 i 50)) i))
(*.f64 i (*.f64 n (+.f64 100 (*.f64 50 i))))
(*.f64 (*.f64 n i) (fma.f64 50 i 100))
(*.f64 i (*.f64 n (fma.f64 50 i 100)))
(+.f64 (*.f64 50 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 3))) (*.f64 100 (*.f64 n i))))
(fma.f64 50 (*.f64 n (*.f64 i i)) (fma.f64 50/3 (*.f64 n (pow.f64 i 3)) (*.f64 100 (*.f64 n i))))
(fma.f64 50 (*.f64 n (*.f64 i i)) (fma.f64 100 (*.f64 n i) (*.f64 n (*.f64 (pow.f64 i 3) 50/3))))
(fma.f64 n (*.f64 50/3 (pow.f64 i 3)) (*.f64 i (*.f64 n (+.f64 100 (*.f64 50 i)))))
(*.f64 i (*.f64 n (+.f64 (*.f64 i (+.f64 (*.f64 i 50/3) 50)) 100)))
(*.f64 i (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))))
(+.f64 (*.f64 50 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 4))) (*.f64 100 (*.f64 n i)))))
(fma.f64 50 (*.f64 n (*.f64 i i)) (fma.f64 50/3 (*.f64 n (pow.f64 i 3)) (fma.f64 25/6 (*.f64 n (pow.f64 i 4)) (*.f64 100 (*.f64 n i)))))
(fma.f64 50 (*.f64 n (*.f64 i i)) (fma.f64 50/3 (*.f64 n (pow.f64 i 3)) (fma.f64 100 (*.f64 n i) (*.f64 25/6 (*.f64 n (pow.f64 i 4))))))
(+.f64 (*.f64 i (*.f64 n (+.f64 100 (*.f64 50 i)))) (*.f64 n (+.f64 (*.f64 50/3 (pow.f64 i 3)) (*.f64 25/6 (pow.f64 i 4)))))
(*.f64 n (+.f64 (*.f64 i (fma.f64 50 i 100)) (*.f64 (pow.f64 i 3) (+.f64 50/3 (*.f64 i 25/6)))))
(*.f64 n (+.f64 (*.f64 (pow.f64 i 3) (+.f64 50/3 (*.f64 i 25/6))) (*.f64 i (fma.f64 50 i 100))))

localize18.0ms (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))
7.0b
(log1p.f64 (/.f64 i n))
13.8b
(*.f64 n (log1p.f64 (/.f64 i n)))
Compiler

Compiled 58 to 11 computations (81% saved)

series6.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
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))
0.0ms
n
@0
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n)
0.0ms
i
@-inf
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n)

rewrite68.0ms (0.3%)

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))))))

simplify211.0ms (0.9%)

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)))
(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 i (*.f64 (exp.f64 i) -50)))
(fma.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)) (*.f64 (exp.f64 i) (*.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 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i)) (/.f64 n (/.f64 i (expm1.f64 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)
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
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(fma.f64 n (fma.f64 (*.f64 i i) (+.f64 1/6 (-.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))) n)
(fma.f64 n (*.f64 i (+.f64 (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))) i))) n)
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(+.f64 n (fma.f64 n (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))) (*.f64 n (+.f64 (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))))))))
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(/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)
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(*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(*.f64 (/.f64 n i) (fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) -1))
(+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)) (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))
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(+.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 (/.f64 n i) (fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) -1)) (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n))))
(+.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))))
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(+.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) i)) (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4)))))))
(+.f64 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n))) (*.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 (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)))))))

eval682.0ms (2.9%)

Compiler

Compiled 18182 to 10396 computations (42.8% saved)

prune201.0ms (0.9%)

Pruning

29 alts after pruning (21 fresh and 8 done)

PrunedKeptTotal
New67711688
Fresh61016
Picked011
Done178
Total68429713
Error
0b
Counts
713 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
19.6b
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)) n)
49.8b
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
31.9b
(/.f64 (*.f64 i (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))) i)
52.4b
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (log.f64 (/.f64 i n)))))
▶31.6b
(/.f64 (*.f64 100 (*.f64 n i)) i)
36.7b
(*.f64 (/.f64 n i) (*.f64 100 i))
27.3b
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
31.5b
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
✓27.0b
(*.f64 n 100)
✓19.5b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
51.4b
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (neg.f64 (log.f64 (/.f64 n i))))))
27.6b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
✓48.7b
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
27.6b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i 1/2))))
✓19.7b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
26.0b
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
✓49.7b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
49.7b
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n))
35.4b
(/.f64 (*.f64 100 i) (/.f64 i n))
✓49.0b
(*.f64 (/.f64 n i) (-.f64 (*.f64 100 (exp.f64 i)) 100))
✓19.4b
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
▶49.9b
(*.f64 100 0)
26.0b
(*.f64 (/.f64 100 i) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 1 n)))
▶30.9b
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
34.8b
(*.f64 100 (/.f64 i (/.f64 i n)))
✓62.3b
(*.f64 i -50)
27.5b
(fma.f64 n 100 (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100))
▶16.5b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
▶48.6b
(*.f64 (/.f64 n 1) (/.f64 (fma.f64 100 (exp.f64 i) -100) i))
Compiler

Compiled 626 to 431 computations (31.2% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 25 to 8 computations (68% saved)

series9.0ms (0%)

Counts
3 → 60
Calls

15 calls:

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

rewrite91.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
860×pow1_binary64
799×add-log-exp_binary64
799×log1p-expm1-u_binary64
799×expm1-log1p-u_binary64
782×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
116827
2213527
Stop Event
1×node limit
Counts
3 → 68
Calls
Call 1
Inputs
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (expm1.f64 i) i) n)
(/.f64 (expm1.f64 i) i)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) i)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 i) i) n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 10000 (pow.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) (*.f64 (/.f64 (expm1.f64 i) i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 (expm1.f64 i) i) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 i) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 n (/.f64 i (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 i (*.f64 (expm1.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 i) n) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (expm1.f64 i) n)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 i) n) 1) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 i) n) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 i) n) (sqrt.f64 i)) (sqrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (expm1.f64 i)) n) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (neg.f64 (expm1.f64 i))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 i) i) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 i) i) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 n) (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (/.f64 (expm1.f64 i) i) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (expm1.f64 i) i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (expm1.f64 i) i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 i) i) n)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 i) i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2) (cbrt.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (*.f64 (cbrt.f64 (expm1.f64 i)) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)) (sqrt.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 i)) (*.f64 (sqrt.f64 (expm1.f64 i)) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 i)) (/.f64 1 (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (expm1.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 i)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) 1) (/.f64 (sqrt.f64 (expm1.f64 i)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 (expm1.f64 i) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) (pow.f64 (cbrt.f64 i) 2)) (/.f64 (sqrt.f64 (expm1.f64 i)) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 i)) (/.f64 (expm1.f64 i) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (sqrt.f64 i)) (/.f64 (cbrt.f64 (expm1.f64 i)) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 i) i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 i (expm1.f64 i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 i) (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (expm1.f64 i) 3) (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 i) i)))))))

simplify70.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
666×times-frac_binary64
636×distribute-lft-out_binary64
468×associate-/l/_binary64
462×distribute-rgt-in_binary64
446×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
049639
1140631
2368620
31183606
42935603
55022603
Stop Event
1×node limit
Counts
128 → 95
Calls
Call 1
Inputs
(*.f64 100 n)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
n
(+.f64 n (*.f64 1/2 (*.f64 n i)))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (*.f64 1/2 (*.f64 n i))))
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (+.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 1/24 (*.f64 n (pow.f64 i 3))))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
1
(+.f64 1 (*.f64 1/2 i))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (*.f64 1/2 i)))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (+.f64 (*.f64 1/2 i) (*.f64 1/24 (pow.f64 i 3)))))
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
Outputs
(*.f64 100 n)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(fma.f64 50 (*.f64 n i) (*.f64 100 n))
(fma.f64 100 n (*.f64 i (*.f64 n 50)))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(fma.f64 50 (*.f64 n i) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 100 n)))
(fma.f64 50 (*.f64 n i) (fma.f64 100 n (*.f64 (*.f64 i i) (*.f64 n 50/3))))
(fma.f64 (*.f64 i i) (*.f64 n 50/3) (*.f64 n (+.f64 100 (*.f64 50 i))))
(*.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 100 n))))
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 100 n (*.f64 (*.f64 i i) (*.f64 n 50/3)))))
(fma.f64 (pow.f64 i 3) (*.f64 n 25/6) (fma.f64 (*.f64 i i) (*.f64 n 50/3) (*.f64 n (+.f64 100 (*.f64 50 i)))))
(*.f64 n (+.f64 (+.f64 100 (*.f64 50 i)) (*.f64 (*.f64 i i) (+.f64 50/3 (*.f64 i 25/6)))))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)))
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))
(*.f64 (expm1.f64 i) (/.f64 100 (/.f64 i n)))
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i)))
n
(+.f64 n (*.f64 1/2 (*.f64 n i)))
(+.f64 n (*.f64 (*.f64 n i) 1/2))
(fma.f64 (*.f64 n i) 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 (*.f64 n i) 1/2)))
(fma.f64 (*.f64 n (*.f64 i i)) 1/6 (fma.f64 (*.f64 n i) 1/2 n))
(+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 i 1/6) 1/2))))
(*.f64 n (fma.f64 i (*.f64 i 1/6) (fma.f64 i 1/2 1)))
(*.f64 n (fma.f64 i 1/2 (fma.f64 i (*.f64 i 1/6) 1)))
(+.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 (*.f64 n (pow.f64 i 3)) 1/24))))
(+.f64 (fma.f64 (*.f64 n 1/24) (pow.f64 i 3) (*.f64 n (*.f64 i 1/2))) (fma.f64 (*.f64 n (*.f64 i i)) 1/6 n))
(+.f64 (fma.f64 n (*.f64 i 1/2) n) (*.f64 n (*.f64 (*.f64 i i) (+.f64 (*.f64 i 1/24) 1/6))))
(+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24)))))))
(*.f64 n (fma.f64 i (*.f64 i 1/6) (fma.f64 i 1/2 (fma.f64 (pow.f64 i 3) 1/24 1))))
(+.f64 n (*.f64 (*.f64 n i) (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24))))))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)
(/.f64 (*.f64 n (expm1.f64 i)) i)
(*.f64 (/.f64 n i) (expm1.f64 i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
1
(+.f64 1 (*.f64 1/2 i))
(+.f64 1 (*.f64 i 1/2))
(fma.f64 i 1/2 1)
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (*.f64 1/2 i)))
(fma.f64 1/6 (*.f64 i i) (+.f64 1 (*.f64 i 1/2)))
(fma.f64 (*.f64 i i) 1/6 (fma.f64 i 1/2 1))
(fma.f64 i 1/2 (fma.f64 i (*.f64 i 1/6) 1))
(fma.f64 i (*.f64 i 1/6) (fma.f64 i 1/2 1))
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (+.f64 (*.f64 1/2 i) (*.f64 1/24 (pow.f64 i 3)))))
(fma.f64 1/6 (*.f64 i i) (+.f64 1 (fma.f64 1/2 i (*.f64 (pow.f64 i 3) 1/24))))
(+.f64 (fma.f64 (*.f64 i i) 1/6 (fma.f64 i 1/2 1)) (*.f64 (pow.f64 i 3) 1/24))
(fma.f64 i (*.f64 i 1/6) (fma.f64 i 1/2 (fma.f64 (pow.f64 i 3) 1/24 1)))
(fma.f64 i (*.f64 i 1/6) (fma.f64 (pow.f64 i 3) 1/24 (fma.f64 i 1/2 1)))
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)
(/.f64 (-.f64 (exp.f64 i) 1) i)
(/.f64 (expm1.f64 i) i)

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 100 (*.f64 n i))
✓12.3b
(/.f64 (*.f64 100 (*.f64 n i)) i)
Compiler

Compiled 20 to 9 computations (55% saved)

series7.0ms (0%)

Counts
2 → 24
Calls

12 calls:

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

rewrite67.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
825×pow1_binary64
773×add-log-exp_binary64
773×log1p-expm1-u_binary64
773×expm1-log1p-u_binary64
758×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115017
2202617
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(/.f64 (*.f64 100 (*.f64 n i)) i)
(*.f64 100 (*.f64 n i))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 (*.f64 n i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 1 (/.f64 (/.f64 i i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (*.f64 (*.f64 n i) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n i) (*.f64 100 (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (*.f64 n i)) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 100 i) (*.f64 n i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 n i) 2) 10000)) (*.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 100 i) (*.f64 n i))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 100 i) (*.f64 n i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 100 i) (*.f64 n i))) 2) (cbrt.f64 (*.f64 (/.f64 100 i) (*.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 n i)) 10) (*.f64 (*.f64 (sqrt.f64 (*.f64 n i)) 10) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 10 (sqrt.f64 (/.f64 (/.f64 i i) n))) (/.f64 10 (sqrt.f64 (/.f64 (/.f64 i i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 n i) -100) (/.f64 1 (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (*.f64 100 (*.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 n i) 1) (/.f64 100 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 i) (*.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 n i) 2) 10000)) 1) (/.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 n i)) 10) 1) (/.f64 (*.f64 (sqrt.f64 (*.f64 n i)) 10) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 100 n) 1) (/.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (pow.f64 (cbrt.f64 i) 2)) (/.f64 (*.f64 n i) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 n i) (pow.f64 (cbrt.f64 i) 2)) (/.f64 100 (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 (*.f64 100 (*.f64 n i)) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 n i) 2) 10000)) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (*.f64 (/.f64 100 i) (*.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 n i)) 10) (pow.f64 (cbrt.f64 i) 2)) (/.f64 (*.f64 (sqrt.f64 (*.f64 n i)) 10) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 100 n) (pow.f64 (cbrt.f64 i) 2)) (/.f64 i (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (sqrt.f64 i)) (/.f64 (*.f64 n i) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 n i) (sqrt.f64 i)) (/.f64 100 (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 i)) (/.f64 (*.f64 100 (*.f64 n i)) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 n i) 2) 10000)) (sqrt.f64 i)) (/.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 100 n) (sqrt.f64 i)) (/.f64 i (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 100 i) (*.f64 n i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 100 i) (*.f64 n i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 100 i) (*.f64 n i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 10 (sqrt.f64 (/.f64 (/.f64 i i) n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/100 (/.f64 (/.f64 i i) n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 100 (*.f64 n i)) (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 100 i) (*.f64 n i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 100 i) (*.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 100 i) (*.f64 n i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 100 (*.f64 n i)) 3) (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 100 i) (*.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 100 i) (*.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 100 i) (*.f64 n i))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 100 (*.f64 n i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (*.f64 n i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (*.f64 n i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 (*.f64 n i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 n i)) 10) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 n i) 2) 10000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 i) n) 100))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 (*.f64 n i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (*.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (*.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (*.f64 n i))))))))

simplify9.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0496
1596
Stop Event
1×saturated
Counts
80 → 57
Calls
Call 1
Inputs
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
Outputs
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)
(*.f64 100 n)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (expm1.f64 i) 100)
✓16.6b
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
Compiler

Compiled 22 to 10 computations (54.5% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite68.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

simplify60.0ms (0.3%)

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

Useful iterations: 3 (0.0ms)

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

localize50.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (/.f64 n 1) (/.f64 (fma.f64 100 (exp.f64 i) -100) i))
✓3.2b
(fma.f64 100 (exp.f64 i) -100)
Compiler

Compiled 35 to 22 computations (37.1% saved)

series5.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite150.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
575×unpow-prod-down_binary64
450×log-prod_binary64
342×exp-prod_binary64
271×pow-prod-down_binary64
247×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01120
123020
2251620
Stop Event
1×node limit
Counts
2 → 98
Calls
Call 1
Inputs
(fma.f64 100 (exp.f64 i) -100)
(*.f64 (/.f64 n 1) (/.f64 (fma.f64 100 (exp.f64 i) -100) i))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -100 (*.f64 100 (exp.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 100 (exp.f64 i) -100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 100 (exp.f64 i)) -100)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 100 (exp.f64 i)) 1) -100)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 100 (exp.f64 i) -100))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 100 (exp.f64 i) -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 100 (exp.f64 i) -100)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 100 (exp.f64 i) -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 100 (exp.f64 i) -100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 100 (exp.f64 i) -100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 100 (exp.f64 i) -100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 100 (exp.f64 i) -100)) (pow.f64 (cbrt.f64 (fma.f64 100 (exp.f64 i) -100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 100 (exp.f64 i) -100)) 2) (cbrt.f64 (fma.f64 100 (exp.f64 i) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 100 (exp.f64 i) -100)) (sqrt.f64 (fma.f64 100 (exp.f64 i) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 100 (exp.f64 i) -100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 100 (exp.f64 i) -100) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 100 (exp.f64 i) -100) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) (cbrt.f64 (fma.f64 100 (exp.f64 i) -100))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 100 (exp.f64 i) -100) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 100 (exp.f64 i) -100))) 2) 3) (cbrt.f64 (fma.f64 100 (exp.f64 i) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 100 (exp.f64 i) -100))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 100 (exp.f64 i) -100))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1000000 (exp.f64 (*.f64 i 3))) -1000000) (+.f64 (pow.f64 (*.f64 100 (exp.f64 i)) 2) (-.f64 10000 (*.f64 (*.f64 100 (exp.f64 i)) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 100 (exp.f64 i)) 2) 10000) (fma.f64 100 (exp.f64 i) 100))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 100 (exp.f64 i) -100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 100 (exp.f64 i) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 100 (exp.f64 i) -100) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 100 (exp.f64 i) -100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 100 (exp.f64 i) -100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 100 (exp.f64 i) -100)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 100 (exp.f64 i) -100))) 2)) (cbrt.f64 (log.f64 (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 100 (exp.f64 i) -100)))) (sqrt.f64 (log.f64 (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 100 (exp.f64 i) -100) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 100 (exp.f64 i) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 100 (exp.f64 i) -100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 100 (exp.f64 i) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 100 (exp.f64 i) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 100 (exp.f64 i) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 100 (exp.f64 i) -100)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 100 (exp.f64 i) -100))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 100 (exp.f64 i) -100))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 100 (exp.f64 i) -100))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 100 (exp.f64 i) -100)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (/.f64 (fma.f64 100 (exp.f64 i) -100) i))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (/.f64 (fma.f64 100 (exp.f64 i) -100) i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (/.f64 (fma.f64 100 (exp.f64 i) -100) i)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (/.f64 (fma.f64 100 (exp.f64 i) -100) i)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 100 (exp.f64 i) -100) (*.f64 (/.f64 1 n) i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 100 (exp.f64 i) -100) (*.f64 i (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 n (/.f64 i (fma.f64 100 (exp.f64 i) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 n (*.f64 (/.f64 i (fma.f64 100 (exp.f64 i) -100)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1 n) (/.f64 i (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 i (fma.f64 100 (exp.f64 i) -100)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 i (*.f64 (fma.f64 100 (exp.f64 i) -100) n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 100 (exp.f64 i) -100) i) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i))) 2) (/.f64 1 (cbrt.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i))) (pow.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 n) (*.f64 -1 (/.f64 i (fma.f64 100 (exp.f64 i) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 n) (*.f64 (/.f64 i (fma.f64 100 (exp.f64 i) -100)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 100 (exp.f64 i) -100)) (*.f64 (/.f64 1 n) (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) (fma.f64 100 (exp.f64 i) -100)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (neg.f64 (fma.f64 100 (exp.f64 i) -100))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) (neg.f64 (fma.f64 100 (exp.f64 i) -100))) (*.f64 -1 (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 100 (exp.f64 i) -100)) n) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 100 (exp.f64 i) -100)) n) (*.f64 (neg.f64 i) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 100 (exp.f64 i) -100)) 1) (*.f64 (neg.f64 i) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) (neg.f64 n)) (*.f64 i -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 100 (exp.f64 i) -100)) (neg.f64 n)) (*.f64 (neg.f64 i) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 100 (exp.f64 i) -100) n) (sqrt.f64 i)) (sqrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) (/.f64 (fma.f64 100 (exp.f64 i) -100) i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (fma.f64 100 (exp.f64 i) -100) i) (neg.f64 n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 n) (/.f64 i (fma.f64 100 (exp.f64 i) -100))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 i (fma.f64 100 (exp.f64 i) -100)) (/.f64 1 n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 i (*.f64 (fma.f64 100 (exp.f64 i) -100) n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i)))) 2)) (cbrt.f64 (log.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i))))) (sqrt.f64 (log.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 n) (/.f64 (fma.f64 100 (exp.f64 i) -100) i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i))) 1) 1))))))

simplify86.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
803×unswap-sqr_binary64
762×fma-def_binary64
570×distribute-lft-out_binary64
418×*-commutative_binary64
348×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040441
1111441
2277435
3880410
42792410
54662410
67603410
Stop Event
1×node limit
Counts
134 → 116
Calls
Call 1
Inputs
(*.f64 100 i)
(+.f64 (*.f64 100 i) (*.f64 50 (pow.f64 i 2)))
(+.f64 (*.f64 100 i) (+.f64 (*.f64 50/3 (pow.f64 i 3)) (*.f64 50 (pow.f64 i 2))))
(+.f64 (*.f64 100 i) (+.f64 (*.f64 50/3 (pow.f64 i 3)) (+.f64 (*.f64 50 (pow.f64 i 2)) (*.f64 25/6 (pow.f64 i 4)))))
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) 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 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) 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 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) 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 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) 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 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) 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 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) 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 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
Outputs
(*.f64 100 i)
(+.f64 (*.f64 100 i) (*.f64 50 (pow.f64 i 2)))
(fma.f64 100 i (*.f64 50 (*.f64 i i)))
(*.f64 i (+.f64 100 (*.f64 i 50)))
(*.f64 i (fma.f64 i 50 100))
(+.f64 (*.f64 100 i) (+.f64 (*.f64 50/3 (pow.f64 i 3)) (*.f64 50 (pow.f64 i 2))))
(fma.f64 100 i (fma.f64 50/3 (pow.f64 i 3) (*.f64 50 (*.f64 i i))))
(fma.f64 100 i (fma.f64 50 (*.f64 i i) (*.f64 50/3 (pow.f64 i 3))))
(fma.f64 100 i (*.f64 (*.f64 i i) (+.f64 50 (*.f64 i 50/3))))
(*.f64 i (+.f64 100 (*.f64 i (fma.f64 i 50/3 50))))
(+.f64 (*.f64 100 i) (+.f64 (*.f64 50/3 (pow.f64 i 3)) (+.f64 (*.f64 50 (pow.f64 i 2)) (*.f64 25/6 (pow.f64 i 4)))))
(fma.f64 100 i (fma.f64 50/3 (pow.f64 i 3) (fma.f64 50 (*.f64 i i) (*.f64 25/6 (pow.f64 i 4)))))
(fma.f64 100 i (fma.f64 25/6 (pow.f64 i 4) (*.f64 (*.f64 i i) (+.f64 50 (*.f64 i 50/3)))))
(fma.f64 i (fma.f64 i 50 100) (*.f64 (pow.f64 i 3) (+.f64 50/3 (*.f64 i 25/6))))
(*.f64 i (+.f64 (fma.f64 (pow.f64 i 3) 25/6 100) (*.f64 i (fma.f64 i 50/3 50))))
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(fma.f64 100 (exp.f64 i) -100)
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(fma.f64 100 (exp.f64 i) -100)
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(fma.f64 100 (exp.f64 i) -100)
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(fma.f64 100 (exp.f64 i) -100)
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(fma.f64 100 (exp.f64 i) -100)
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(fma.f64 100 (exp.f64 i) -100)
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(fma.f64 100 (exp.f64 i) -100)
(-.f64 (*.f64 100 (exp.f64 i)) 100)
(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 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.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 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.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 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.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 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.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 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.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 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.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 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.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 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.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 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.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 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.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 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.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 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(*.f64 100 n)
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))
(fma.f64 50 (*.f64 i n) (*.f64 100 n))
(fma.f64 100 n (*.f64 50 (*.f64 i n)))
(*.f64 n (+.f64 (*.f64 i 50) 100))
(*.f64 n (fma.f64 i 50 100))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))
(fma.f64 50 (*.f64 i n) (fma.f64 50/3 (*.f64 (*.f64 i i) n) (*.f64 100 n)))
(fma.f64 50 (*.f64 i n) (fma.f64 100 n (*.f64 (*.f64 i i) (*.f64 50/3 n))))
(fma.f64 100 n (*.f64 n (+.f64 (*.f64 i 50) (*.f64 (*.f64 i i) 50/3))))
(*.f64 n (+.f64 100 (*.f64 i (fma.f64 i 50/3 50))))
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))))
(fma.f64 50 (*.f64 i n) (fma.f64 25/6 (*.f64 (pow.f64 i 3) n) (fma.f64 50/3 (*.f64 (*.f64 i i) n) (*.f64 100 n))))
(fma.f64 50 (*.f64 i n) (fma.f64 25/6 (*.f64 (pow.f64 i 3) n) (fma.f64 100 n (*.f64 (*.f64 i i) (*.f64 50/3 n)))))
(fma.f64 i (*.f64 50 n) (fma.f64 (*.f64 i i) (*.f64 50/3 n) (*.f64 n (+.f64 100 (*.f64 (pow.f64 i 3) 25/6)))))
(*.f64 n (+.f64 (*.f64 i (fma.f64 i 50/3 50)) (fma.f64 (pow.f64 i 3) 25/6 100)))
(*.f64 n (+.f64 (fma.f64 (pow.f64 i 3) 25/6 100) (*.f64 i (fma.f64 i 50/3 50))))
(/.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 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.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 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.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 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.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 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.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 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.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 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.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 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))
(/.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 (fma.f64 100 (exp.f64 i) -100) (/.f64 n i))

eval451.0ms (1.9%)

Compiler

Compiled 5086 to 2951 computations (42% saved)

prune219.0ms (0.9%)

Pruning

33 alts after pruning (25 fresh and 8 done)

PrunedKeptTotal
New37513388
Fresh41216
Picked101
Done4812
Total38433417
Error
0b
Counts
417 → 33
Alt Table
Click to see full alt table
StatusErrorProgram
19.6b
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)) n)
49.8b
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
16.5b
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)
27.6b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
40.9b
(/.f64 (-.f64 (+.f64 1 (*.f64 100 (*.f64 n i))) 1) i)
34.8b
(*.f64 100 (/.f64 i (/.f64 i n)))
52.4b
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (log.f64 (/.f64 i n)))))
✓31.6b
(/.f64 (*.f64 100 (*.f64 n i)) i)
36.7b
(*.f64 (/.f64 n i) (*.f64 100 i))
27.3b
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
31.5b
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
✓27.0b
(*.f64 n 100)
✓19.5b
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))
51.4b
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (neg.f64 (log.f64 (/.f64 n i))))))
27.6b
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i 1/2))))
✓19.7b
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
26.0b
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
✓49.7b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
49.7b
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n))
31.3b
(*.f64 (/.f64 (expm1.f64 i) 1) (/.f64 100 (/.f64 i n)))
32.2b
(*.f64 (*.f64 n i) (*.f64 100 (/.f64 1 i)))
16.6b
(*.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (neg.f64 i)) (neg.f64 n))
27.1b
(*.f64 100 (/.f64 1 (/.f64 (/.f64 i i) n)))
✓19.4b
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
✓49.9b
(*.f64 100 0)
35.4b
(/.f64 (*.f64 100 i) (/.f64 i n))
26.0b
(*.f64 (/.f64 100 i) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 1 n)))
25.3b
(-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)
27.8b
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
27.1b
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
✓62.3b
(*.f64 i -50)
20.5b
(*.f64 100 (/.f64 1 (/.f64 i (*.f64 (expm1.f64 i) n))))
27.6b
(*.f64 n (+.f64 100 (*.f64 50 i)))
Compiler

Compiled 402 to 280 computations (30.3% saved)

regimes1.5s (6.6%)

Counts
62 → 3
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 (*.f64 n i) (*.f64 100 (/.f64 1 i)))
(*.f64 100 (/.f64 1 (/.f64 (/.f64 i i) n)))
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i 1/2))))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 100 (*.f64 n i))) 1) i)
(-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(/.f64 (*.f64 i (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))) 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 (*.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 100 (/.f64 (expm1.f64 i) i)) n)
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (expm1.f64 i) 1) (/.f64 100 (/.f64 i n)))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (neg.f64 i)) (neg.f64 n))
(*.f64 100 (/.f64 1 (/.f64 i (*.f64 (expm1.f64 i) n))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 (/.f64 n i) (-.f64 (*.f64 100 (exp.f64 i)) 100))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (log.f64 (/.f64 i n)))))
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (neg.f64 (log.f64 (/.f64 n i))))))
(fma.f64 n 100 (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
(*.f64 (/.f64 n 1) (/.f64 (fma.f64 100 (exp.f64 i) -100) i))
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)) n)
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(*.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)))) 100) (/.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))
(*.f64 (/.f64 100 i) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 1 n)))
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n))
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n))
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 1 n))))
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 1 n))))
Outputs
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n))
(-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)
Calls

6 calls:

840.0ms
n
482.0ms
i
36.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
35.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
35.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Results
ErrorSegmentsBranch
5.0b4i
3.6b5n
1.2b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
1.2b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
1.2b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
1.2b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 788 to 417 computations (47.1% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0006223568808008168
NaN
0.0ms
0.0
2.2034311976685406e-182
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes531.0ms (2.3%)

Counts
54 → 3
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 (*.f64 n i) (*.f64 100 (/.f64 1 i)))
(*.f64 100 (/.f64 1 (/.f64 (/.f64 i i) n)))
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i 1/2))))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 100 (*.f64 n i))) 1) i)
(-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(/.f64 (*.f64 i (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))) 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 (*.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 100 (/.f64 (expm1.f64 i) i)) n)
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (expm1.f64 i) 1) (/.f64 100 (/.f64 i n)))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (neg.f64 i)) (neg.f64 n))
(*.f64 100 (/.f64 1 (/.f64 i (*.f64 (expm1.f64 i) n))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 (/.f64 n i) (-.f64 (*.f64 100 (exp.f64 i)) 100))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (log.f64 (/.f64 i n)))))
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (neg.f64 (log.f64 (/.f64 n i))))))
(fma.f64 n 100 (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
(*.f64 (/.f64 n 1) (/.f64 (fma.f64 100 (exp.f64 i) -100) i))
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)) n)
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))
(*.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)))) 100) (/.f64 i n))
Outputs
(*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n)))
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)
Calls

6 calls:

215.0ms
n
214.0ms
i
18.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
16.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
14.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Results
ErrorSegmentsBranch
5.0b4i
3.6b5n
1.2b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
1.2b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
1.2b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
1.2b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 666 to 364 computations (45.3% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0006223568808008168
NaN
0.0ms
0.0
2.2034311976685406e-182
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes357.0ms (1.5%)

Counts
50 → 3
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 (*.f64 n i) (*.f64 100 (/.f64 1 i)))
(*.f64 100 (/.f64 1 (/.f64 (/.f64 i i) n)))
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i 1/2))))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 100 (*.f64 n i))) 1) i)
(-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(/.f64 (*.f64 i (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))) 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 (*.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 100 (/.f64 (expm1.f64 i) i)) n)
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (expm1.f64 i) 1) (/.f64 100 (/.f64 i n)))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (neg.f64 i)) (neg.f64 n))
(*.f64 100 (/.f64 1 (/.f64 i (*.f64 (expm1.f64 i) n))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 (/.f64 n i) (-.f64 (*.f64 100 (exp.f64 i)) 100))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (log.f64 (/.f64 i n)))))
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (neg.f64 (log.f64 (/.f64 n i))))))
(fma.f64 n 100 (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
(*.f64 (/.f64 n 1) (/.f64 (fma.f64 100 (exp.f64 i) -100) i))
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)) n)
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))
Outputs
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)) n)
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)
Calls

6 calls:

171.0ms
n
105.0ms
i
16.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
15.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
14.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Results
ErrorSegmentsBranch
6.1b4i
4.0b5n
1.7b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
1.7b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
1.7b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
1.7b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 614 to 349 computations (43.2% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0006223568808008168
NaN
0.0ms
0.0
2.2034311976685406e-182
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes289.0ms (1.2%)

Counts
45 → 7
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 (*.f64 n i) (*.f64 100 (/.f64 1 i)))
(*.f64 100 (/.f64 1 (/.f64 (/.f64 i i) n)))
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i 1/2))))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 100 (*.f64 n i))) 1) i)
(-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(/.f64 (*.f64 i (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))) 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 (*.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 100 (/.f64 (expm1.f64 i) i)) n)
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (expm1.f64 i) 1) (/.f64 100 (/.f64 i n)))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (neg.f64 i)) (neg.f64 n))
(*.f64 100 (/.f64 1 (/.f64 i (*.f64 (expm1.f64 i) n))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 (/.f64 n i) (-.f64 (*.f64 100 (exp.f64 i)) 100))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (log.f64 (/.f64 i n)))))
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (neg.f64 (log.f64 (/.f64 n i))))))
(fma.f64 n 100 (*.f64 (*.f64 i (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) n)) 100))
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))
(*.f64 (/.f64 n 1) (/.f64 (fma.f64 100 (exp.f64 i) -100) i))
Outputs
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (log.f64 (/.f64 i n)))))
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)
(*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (log.f64 (/.f64 i n)))))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)
Calls

6 calls:

155.0ms
n
66.0ms
i
14.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
13.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
12.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
Results
ErrorSegmentsBranch
10.3b3i
8.9b7n
12.3b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
12.3b3(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
12.3b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
12.3b3(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
Compiler

Compiled 549 to 329 computations (40.1% saved)

bsearch1.7s (7.2%)

Algorithm
6×binary-search
Steps
TimeLeftRight
284.0ms
1.3228960181953619e-105
8.37499936322164e-99
151.0ms
3.7622355319800045e-122
4.030241238776827e-114
56.0ms
6.0422776712934345e-193
3.8942345653353444e-192
239.0ms
-7.614418885623545e-177
-9.937964012762644e-184
469.0ms
-1.1480494518925151e-39
-3.46319114850288e-48
470.0ms
-1.9427578667813747
-1.1564593919796626e-17
Compiler

Compiled 1329 to 942 computations (29.1% saved)

regimes177.0ms (0.8%)

Counts
38 → 3
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 (*.f64 n i) (*.f64 100 (/.f64 1 i)))
(*.f64 100 (/.f64 1 (/.f64 (/.f64 i i) n)))
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i 1/2))))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 100 (*.f64 n i))) 1) i)
(-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(/.f64 (*.f64 i (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))) 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 (*.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 100 (/.f64 (expm1.f64 i) i)) n)
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (expm1.f64 i) 1) (/.f64 100 (/.f64 i n)))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (neg.f64 i)) (neg.f64 n))
(*.f64 100 (/.f64 1 (/.f64 i (*.f64 (expm1.f64 i) n))))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
(*.f64 (/.f64 n i) (-.f64 (*.f64 100 (exp.f64 i)) 100))
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)
Outputs
(*.f64 100 (/.f64 1 (/.f64 i (*.f64 (expm1.f64 i) n))))
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)
(*.f64 100 0)
Calls

2 calls:

110.0ms
n
56.0ms
i
Results
ErrorSegmentsBranch
10.3b3i
11.5b3n
Compiler

Compiled 384 to 234 computations (39.1% saved)

bsearch419.0ms (1.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
128.0ms
34.416962694550456
1.5517922797588936e+46
291.0ms
-5.573636800632152e-222
-2.4859114308947592e-222
Compiler

Compiled 226 to 183 computations (19% saved)

regimes124.0ms (0.5%)

Counts
34 → 4
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 (*.f64 n i) (*.f64 100 (/.f64 1 i)))
(*.f64 100 (/.f64 1 (/.f64 (/.f64 i i) n)))
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i 1/2))))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 100 (*.f64 n i))) 1) i)
(-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(/.f64 (*.f64 i (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))) 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 (*.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 100 (/.f64 (expm1.f64 i) i)) n)
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))
(*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100)
(*.f64 (/.f64 (expm1.f64 i) 1) (/.f64 100 (/.f64 i n)))
(*.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (neg.f64 i)) (neg.f64 n))
Outputs
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n))
(/.f64 (*.f64 i (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))) i)
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)
(*.f64 100 0)
Calls

2 calls:

63.0ms
i
50.0ms
n
Results
ErrorSegmentsBranch
10.3b4i
11.5b3n
Compiler

Compiled 344 to 210 computations (39% saved)

bsearch482.0ms (2.1%)

Algorithm
3×binary-search
Steps
TimeLeftRight
138.0ms
34.416962694550456
1.5517922797588936e+46
309.0ms
-5.573636800632152e-222
-2.4859114308947592e-222
35.0ms
-0.007657986782993881
-2.8419514970356017e-8
Compiler

Compiled 255 to 204 computations (20% saved)

regimes78.0ms (0.3%)

Counts
27 → 3
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 (*.f64 n i) (*.f64 100 (/.f64 1 i)))
(*.f64 100 (/.f64 1 (/.f64 (/.f64 i i) n)))
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i 1/2))))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 100 (*.f64 n i))) 1) i)
(-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(/.f64 (*.f64 i (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))) 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 (*.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 100 (/.f64 (expm1.f64 i) i)) n)
Outputs
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)
(-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)
Calls

2 calls:

41.0ms
n
28.0ms
i
Results
ErrorSegmentsBranch
11.6b2i
11.5b3n
Compiler

Compiled 284 to 185 computations (34.9% saved)

bsearch358.0ms (1.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
131.0ms
4.541654884465338e-139
9.544691933024337e-130
227.0ms
-7.614418885623545e-177
-9.937964012762644e-184
Compiler

Compiled 472 to 357 computations (24.4% saved)

regimes93.0ms (0.4%)

Counts
26 → 3
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 (*.f64 n i) (*.f64 100 (/.f64 1 i)))
(*.f64 100 (/.f64 1 (/.f64 (/.f64 i i) n)))
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i 1/2))))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 100 (*.f64 n i))) 1) i)
(-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(/.f64 (*.f64 i (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))) 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 (*.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 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))
(-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)
Calls

2 calls:

49.0ms
n
37.0ms
i
Results
ErrorSegmentsBranch
16.9b3i
18.2b4n
Compiler

Compiled 276 to 180 computations (34.8% saved)

bsearch456.0ms (2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
147.0ms
2.3969008485684856e-61
1.0534796110638933e-60
309.0ms
-3.045644958411746e-20
-5.873965519006511e-27
Compiler

Compiled 502 to 390 computations (22.3% saved)

regimes86.0ms (0.4%)

Counts
23 → 3
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 (*.f64 n i) (*.f64 100 (/.f64 1 i)))
(*.f64 100 (/.f64 1 (/.f64 (/.f64 i i) n)))
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i 1/2))))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 100 (*.f64 n i))) 1) i)
(-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(*.f64 100 (/.f64 (-.f64 (+.f64 i 1) 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50))))
(/.f64 (*.f64 i (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))) i)
Outputs
(-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)
Calls

2 calls:

46.0ms
n
33.0ms
i
Results
ErrorSegmentsBranch
16.9b3i
18.2b4n
Compiler

Compiled 203 to 131 computations (35.5% saved)

bsearch476.0ms (2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
155.0ms
2.3969008485684856e-61
1.0534796110638933e-60
321.0ms
-3.045644958411746e-20
-5.873965519006511e-27
Compiler

Compiled 382 to 300 computations (21.5% saved)

regimes73.0ms (0.3%)

Counts
18 → 3
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 100 (/.f64 i (/.f64 i n)))
(*.f64 (/.f64 n i) (*.f64 100 i))
(*.f64 (*.f64 n i) (*.f64 100 (/.f64 1 i)))
(*.f64 100 (/.f64 1 (/.f64 (/.f64 i i) n)))
(*.f64 (*.f64 100 n) (*.f64 i (/.f64 1 i)))
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i 1/2))))
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n)))
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 100 (*.f64 n i))) 1) i)
Outputs
(*.f64 100 0)
(*.f64 100 (+.f64 n (*.f64 -1/2 i)))
(*.f64 100 0)
Calls

2 calls:

39.0ms
n
30.0ms
i
Results
ErrorSegmentsBranch
17.3b3i
18.2b4n
Compiler

Compiled 140 to 88 computations (37.1% saved)

bsearch341.0ms (1.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
98.0ms
34.416962694550456
1.5517922797588936e+46
243.0ms
-3.116844959110884e+61
-4.81128833100809e+55
Compiler

Compiled 358 to 309 computations (13.7% saved)

regimes38.0ms (0.2%)

Counts
8 → 3
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 n (+.f64 100 (*.f64 50 i)))
(/.f64 (*.f64 100 (*.f64 n i)) i)
(/.f64 (*.f64 100 i) (/.f64 i n))
(*.f64 (/.f64 n i) (*.f64 100 i))
Outputs
(*.f64 100 0)
(*.f64 n (+.f64 100 (*.f64 50 i)))
(*.f64 100 0)
Calls

2 calls:

20.0ms
n
16.0ms
i
Results
ErrorSegmentsBranch
17.5b3i
18.3b4n
Compiler

Compiled 52 to 33 computations (36.5% saved)

bsearch336.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
55.0ms
34.416962694550456
1.5517922797588936e+46
281.0ms
-2825.6981874263256
-0.007657986782993881
Compiler

Compiled 358 to 309 computations (13.7% saved)

regimes26.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
(*.f64 n 100)
(/.f64 (*.f64 100 i) (/.f64 i n))
Outputs
(*.f64 100 0)
(*.f64 n 100)
(*.f64 100 0)
Calls

2 calls:

13.0ms
n
11.0ms
i
Results
ErrorSegmentsBranch
17.5b3i
18.3b4n
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch270.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
55.0ms
34.416962694550456
1.5517922797588936e+46
215.0ms
-3.116844959110884e+61
-4.81128833100809e+55
Compiler

Compiled 274 to 246 computations (10.2% saved)

regimes7.0ms (0%)

Accuracy

Total -12.6b remaining (-25.3%)

Threshold costs -12.6b (-25.3%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 100 0)
(*.f64 i -50)
Outputs
(*.f64 100 0)
Calls

2 calls:

3.0ms
n
3.0ms
i
Results
ErrorSegmentsBranch
49.9b1i
49.9b1n
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify32.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
32×*-commutative_binary64
12×+-commutative_binary64
5×sub-neg_binary64
2×distribute-lft-neg-in_binary64
2×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136794
1183794
2193794
3198794
4201794
5202794
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)) 18446744073709552/18446744073709551616) (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n)) (-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 18446744073709552/18446744073709551616) (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) (-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)) n) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 18446744073709552/18446744073709551616) (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) (-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)))
(if (<=.f64 n -1882207611218875/162259276829213363391578010288128) (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n) (if (<=.f64 n -7030353943633082368/6277101735386680763835789423207666416102355444464034512896) (*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (log.f64 (/.f64 i n))))) (if (<=.f64 n -34218304632166464/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100) (if (<=.f64 n 2440004446519021/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528) (-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1) (if (<=.f64 n 441917944371729/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (log.f64 (/.f64 i n))))) (if (<=.f64 n 323096450810434752/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (*.f64 (/.f64 n i) (*.f64 100 i)) (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)))))))
(if (<=.f64 i -567094278415611/101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411689167650816) (*.f64 100 (/.f64 1 (/.f64 i (*.f64 (expm1.f64 i) n)))) (if (<=.f64 i 35) (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n) (*.f64 100 0)))
(if (<=.f64 i -5902958103587057/590295810358705651712) (/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n)) (if (<=.f64 i -567094278415611/101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411689167650816) (/.f64 (*.f64 i (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))) i) (if (<=.f64 i 35) (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n) (*.f64 100 0))))
(if (<=.f64 n -34218304632166464/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n) (if (<=.f64 n 6167591647773595/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1) (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)))
(if (<=.f64 i -10208471007628154880/340282366920938463463374607431768211456) (-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1) (if (<=.f64 i 27790101416955888/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) (-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)))
(if (<=.f64 i -10208471007628154880/340282366920938463463374607431768211456) (-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1) (if (<=.f64 i 27790101416955888/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 100 (+.f64 n (*.f64 -1/2 i))) (-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)))
(if (<=.f64 i -30999999999999999144625040562274525405015980066163280456974336) (*.f64 100 0) (if (<=.f64 i 520) (*.f64 100 (+.f64 n (*.f64 -1/2 i))) (*.f64 100 0)))
(if (<=.f64 i -2) (*.f64 100 0) (if (<=.f64 i 15499999999999998752781654851772368721838866432) (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 100 0)))
(if (<=.f64 i -30999999999999999144625040562274525405015980066163280456974336) (*.f64 100 0) (if (<=.f64 i 15499999999999998752781654851772368721838866432) (*.f64 n 100) (*.f64 100 0)))
(*.f64 100 0)
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)) 18446744073709552/18446744073709551616) (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n)) (-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)))
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 0) (*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 1152921504606847/1152921504606846976) (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n)) (+.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 i n))) -1)))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 18446744073709552/18446744073709551616) (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) (-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)))
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 0) (*.f64 100 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i n))) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 1152921504606847/1152921504606846976) (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 100) (+.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 i n))) -1)))
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)) n) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 18446744073709552/18446744073709551616) (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) (-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)))
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 0) (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100))) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 1152921504606847/1152921504606846976) (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 100) (+.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 i n))) -1)))
(if (<=.f64 n -1882207611218875/162259276829213363391578010288128) (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n) (if (<=.f64 n -7030353943633082368/6277101735386680763835789423207666416102355444464034512896) (*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (log.f64 (/.f64 i n))))) (if (<=.f64 n -34218304632166464/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (*.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100) (if (<=.f64 n 2440004446519021/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528) (-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1) (if (<=.f64 n 441917944371729/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (log.f64 (/.f64 i n))))) (if (<=.f64 n 323096450810434752/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (*.f64 (/.f64 n i) (*.f64 100 i)) (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)))))))
(if (<=.f64 n -1882207611218875/162259276829213363391578010288128) (*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i))) (if (<=.f64 n -3432790011539591/3064991081731777716716694054300618367237478244367204352) (*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (log.f64 (/.f64 i n))))) (if (<=.f64 n -534661009877601/71288134650346800291268306339067051951456695425758748915299883092176174487635584164154887676833928121541286087087412614229511011271491218722697833120659596691437416786879139845044909253853184) (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) (if (<=.f64 n 2440004446519021/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528) (+.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 i n))) -1) (if (<=.f64 n 441917944371729/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (*.f64 (/.f64 n i) (*.f64 100 (*.f64 n (log.f64 (/.f64 i n))))) (if (<=.f64 n 5048382043913043/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (*.f64 (/.f64 n i) (*.f64 i 100)) (*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))))))))
(if (<=.f64 i -567094278415611/101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411689167650816) (*.f64 100 (/.f64 1 (/.f64 i (*.f64 (expm1.f64 i) n)))) (if (<=.f64 i 35) (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n) (*.f64 100 0)))
(if (<=.f64 i -567094278415611/101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411689167650816) (*.f64 100 (/.f64 1 (/.f64 i (*.f64 n (expm1.f64 i))))) (if (<=.f64 i 35) (*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i))) 0))
(if (<=.f64 i -5902958103587057/590295810358705651712) (/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n)) (if (<=.f64 i -567094278415611/101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411689167650816) (/.f64 (*.f64 i (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))) i) (if (<=.f64 i 35) (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n) (*.f64 100 0))))
(if (<=.f64 i -5902958103587057/590295810358705651712) (/.f64 (*.f64 100 (expm1.f64 i)) (/.f64 i n)) (if (<=.f64 i -567094278415611/101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411689167650816) (/.f64 (*.f64 i (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3)))))) i) (if (<=.f64 i 35) (*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i))) 0)))
(if (<=.f64 n -34218304632166464/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n) (if (<=.f64 n 6167591647773595/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1) (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)))
(if (<=.f64 n -534661009877601/71288134650346800291268306339067051951456695425758748915299883092176174487635584164154887676833928121541286087087412614229511011271491218722697833120659596691437416786879139845044909253853184) (*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i))) (if (<=.f64 n 6167591647773595/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (+.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 i n))) -1) (*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))))
(if (<=.f64 i -10208471007628154880/340282366920938463463374607431768211456) (-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1) (if (<=.f64 i 27790101416955888/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) (-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)))
(if (<=.f64 i -4984604984193435/166153499473114484112975882535043072) (+.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 i n))) -1) (if (<=.f64 i 1736881338559743/7237005577332262213973186563042994240829374041602535252466099000494570602496) (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 -1/2 (/.f64 1 n))))))) (+.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 i n))) -1)))
(if (<=.f64 i -4984604984193435/166153499473114484112975882535043072) (+.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 i n))) -1) (if (<=.f64 i 1736881338559743/7237005577332262213973186563042994240829374041602535252466099000494570602496) (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 (/.f64 1 n) -1/2)))))) (+.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 i n))) -1)))
(if (<=.f64 i -4984604984193435/166153499473114484112975882535043072) (+.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 i n))) -1) (if (<=.f64 i 1736881338559743/7237005577332262213973186563042994240829374041602535252466099000494570602496) (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 1/2 (/.f64 -1 n))))))) (+.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 i n))) -1)))
(if (<=.f64 i -10208471007628154880/340282366920938463463374607431768211456) (-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1) (if (<=.f64 i 27790101416955888/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 100 (+.f64 n (*.f64 -1/2 i))) (-.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 n i))) 1)))
(if (<=.f64 i -4984604984193435/166153499473114484112975882535043072) (+.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 i n))) -1) (if (<=.f64 i 1736881338559743/7237005577332262213973186563042994240829374041602535252466099000494570602496) (*.f64 100 (+.f64 n (*.f64 i -1/2))) (+.f64 (+.f64 1 (*.f64 (/.f64 100 i) (*.f64 i n))) -1)))
(if (<=.f64 i -30999999999999999144625040562274525405015980066163280456974336) (*.f64 100 0) (if (<=.f64 i 520) (*.f64 100 (+.f64 n (*.f64 -1/2 i))) (*.f64 100 0)))
(if (<=.f64 i -30999999999999999144625040562274525405015980066163280456974336) 0 (if (<=.f64 i 520) (*.f64 100 (+.f64 n (*.f64 i -1/2))) 0))
(if (<=.f64 i -2) (*.f64 100 0) (if (<=.f64 i 15499999999999998752781654851772368721838866432) (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 100 0)))
(if (<=.f64 i -2) 0 (if (<=.f64 i 15499999999999998752781654851772368721838866432) (*.f64 n (+.f64 100 (*.f64 i 50))) 0))
(if (<=.f64 i -30999999999999999144625040562274525405015980066163280456974336) (*.f64 100 0) (if (<=.f64 i 15499999999999998752781654851772368721838866432) (*.f64 n 100) (*.f64 100 0)))
(if (<=.f64 i -30999999999999999144625040562274525405015980066163280456974336) 0 (if (<=.f64 i 15499999999999998752781654851772368721838866432) (*.f64 n 100) 0))
(*.f64 100 0)
0
Compiler

Compiled 564 to 363 computations (35.6% saved)

soundness170.0ms (0.7%)

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

Useful iterations: 2 (0.0ms)

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

Compiled 494 to 352 computations (28.7% saved)

end206.0ms (0.9%)

Compiler

Compiled 540 to 316 computations (41.5% saved)

Profiling

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