Details

Time bar (total: 11.7s)

analyze73.0ms (0.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
18.7%81.2%0.1%6
46.8%53.1%0.1%7
56.2%43.7%0.1%8
71%28.9%0.1%9
76.5%23.4%0.1%10
84.9%15%0.1%11
87.8%12.1%0.1%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample767.0ms (6.6%)

Results
751.0ms8256×body64valid

preprocess60.0ms (0.5%)

Algorithm
egg-herbie
Rules
762×fma-neg_binary64
504×fma-def_binary64
425×times-frac_binary64
376×div-sub_binary64
206×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
12924
25524
311624
427124
556820
6138420
7308020
8411020
9441720
10455820
11459620
12460620
13460620
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 n f)) (-.f64 n f))
Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 n) f) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 n f)) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 n f))
(/.f64 (-.f64 (neg.f64 n) f) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 f n))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify50.0ms (0.4%)

Algorithm
egg-herbie
Rules
694×fma-def_binary64
621×fma-neg_binary64
448×times-frac_binary64
307×div-sub_binary64
143×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0712
11812
23812
38212
418212
533112
681810
7222110
8312910
9383710
10395810
11400110
12401110
13401110
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 n) f) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 35 to 18 computations (48.6% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
f
@0
(/.f64 (+.f64 f n) (-.f64 n f))
1.0ms
f
@inf
(/.f64 (+.f64 f n) (-.f64 n f))
1.0ms
n
@-inf
(/.f64 (+.f64 f n) (-.f64 n f))
1.0ms
f
@-inf
(/.f64 (+.f64 f n) (-.f64 n f))
1.0ms
n
@inf
(/.f64 (+.f64 f n) (-.f64 n f))

rewrite47.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
945×pow1_binary64
884×add-log-exp_binary64
884×log1p-expm1-u_binary64
884×expm1-log1p-u_binary64
79×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
114410
2230710
Stop Event
node limit
Counts
1 → 34
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 f n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 f n)) (*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 f n)) (/.f64 1 (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 f n)) 1) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (-.f64 (*.f64 n n) (*.f64 f f))) (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))))

simplify44.0ms (0.4%)

Algorithm
egg-herbie
Rules
665×times-frac_binary64
553×div-sub_binary64
521×fma-def_binary64
472×distribute-frac-neg_binary64
352×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079504
1264441
2940327
34891327
Stop Event
node limit
Counts
58 → 57
Calls
Call 1
Inputs
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)))) 1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
Outputs
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2)))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (fma.f64 2 (pow.f64 (/.f64 f n) 3) 1) (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2)))
(+.f64 (fma.f64 2 (pow.f64 (/.f64 f n) 3) 1) (*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n)))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (*.f64 (/.f64 n f) (*.f64 (/.f64 n f) -2)) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
(+.f64 (/.f64 (*.f64 n n) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n))) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (*.f64 (/.f64 n f) (*.f64 (/.f64 n f) -2)) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)))) 1)
(+.f64 (/.f64 (*.f64 n n) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n))) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1)
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (*.f64 (/.f64 n f) (*.f64 (/.f64 n f) -2)) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
(+.f64 (/.f64 (*.f64 n n) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n))) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2)))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n)))))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (fma.f64 2 (pow.f64 (/.f64 f n) 3) 1) (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2)))
(+.f64 (fma.f64 2 (pow.f64 (/.f64 f n) 3) 1) (*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n)))))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2)))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n)))))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (fma.f64 2 (pow.f64 (/.f64 f n) 3) 1) (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2)))
(+.f64 (fma.f64 2 (pow.f64 (/.f64 f n) 3) 1) (*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n)))))

prune191.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New54357
Fresh000
Picked011
Done000
Total54458
Error
0b
Counts
58 → 4
Alt Table
StatusErrorProgram
0.0b
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
0.0b
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
40.8b
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)))
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 926 to 442 computations (52.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
0.5b
(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

series12.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
n
@inf
(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms
f
@0
(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms
n
@0
(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms
n
@-inf
(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms
f
@-inf
(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

rewrite57.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
793×prod-diff_binary64
595×unpow-prod-down_binary64
425×log-prod_binary64
317×fma-def_binary64
227×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
116622
2251422
Stop Event
node limit
Counts
2 → 122
Calls
Call 1
Inputs
(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
Outputs
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(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 2) 3) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))) 2) -1) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 f n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (+.f64 f n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 f n)) 2)) -1) (pow.f64 (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 f n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (+.f64 f n)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 f n)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 f n))) -1) (pow.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (sqrt.f64 (+.f64 f n))) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 f n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 f n))) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 f n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 (pow.f64 n 3) (pow.f64 f 3))) -1) (/.f64 1 (fma.f64 n (-.f64 n f) (*.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 n f) (-.f64 (*.f64 f f) (*.f64 n n))) -1) (/.f64 1 (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 f n) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 f n)) (neg.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (-.f64 n f) (fma.f64 n (-.f64 n f) (*.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (-.f64 n f) (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (+.f64 f n))) (neg.f64 (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) 1) (*.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) 1) (*.f64 (-.f64 f n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 f n) 1) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 1 (-.f64 n f))) (fma.f64 n (-.f64 n f) (*.f64 f f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (-.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))))

simplify46.0ms (0.4%)

Algorithm
egg-herbie
Rules
761×associate-/l*_binary64
748×associate-/r*_binary64
538×associate-*l*_binary64
233×fma-neg_binary64
212×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02171456
17171244
224691019
Stop Event
node limit
Counts
170 → 178
Calls
Call 1
Inputs
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (*.f64 2 (/.f64 (*.f64 (E.f64) f) n))) 1)
(-.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (*.f64 2 (/.f64 (*.f64 (E.f64) f) n)))) 1)
(-.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (+.f64 (*.f64 22/3 (/.f64 (*.f64 (E.f64) (pow.f64 f 3)) (pow.f64 n 3))) (*.f64 2 (/.f64 (*.f64 (E.f64) f) n))))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (exp.f64 -1) (+.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)))) (pow.f64 f 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 n) n) 3)) (+.f64 (*.f64 n (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)))) (exp.f64 -1)) (pow.f64 f 3)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (exp.f64 -1))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (exp.f64 -1) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (+.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (*.f64 1/6 (pow.f64 (-.f64 n (*.f64 -1 n)) 3)))) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3))))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 4) (exp.f64 -1)) (pow.f64 f 4))) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n)) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 n 2)) (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 n 2)) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 f (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2))))) (pow.f64 n 3))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n)) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 n 2)) (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 n 2)) (+.f64 (/.f64 (*.f64 (E.f64) (-.f64 f (*.f64 -1 f))) n) (*.f64 -1 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) f)) (*.f64 -1 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)))))) (pow.f64 n 3)))))) 1)
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)))) 1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
Outputs
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (*.f64 2 (/.f64 (*.f64 (E.f64) f) n))) 1)
(+.f64 (E.f64) (-.f64 (*.f64 2 (/.f64 (E.f64) (/.f64 n f))) 1))
(+.f64 (fma.f64 2 (*.f64 (/.f64 (E.f64) n) f) (E.f64)) -1)
(+.f64 (*.f64 2 (*.f64 (/.f64 f n) (E.f64))) (expm1.f64 1))
(-.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (*.f64 2 (/.f64 (*.f64 (E.f64) f) n)))) 1)
(+.f64 (fma.f64 4 (/.f64 (E.f64) (/.f64 (*.f64 n n) (*.f64 f f))) (+.f64 (E.f64) (*.f64 2 (/.f64 (E.f64) (/.f64 n f))))) -1)
(+.f64 (fma.f64 4 (*.f64 (/.f64 (E.f64) n) (/.f64 (*.f64 f f) n)) (fma.f64 2 (*.f64 (/.f64 (E.f64) n) f) (E.f64))) -1)
(+.f64 (*.f64 (/.f64 (E.f64) n) (+.f64 (+.f64 f f) (/.f64 (*.f64 4 (*.f64 f f)) n))) (expm1.f64 1))
(-.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (E.f64) (pow.f64 f 2)) (pow.f64 n 2))) (+.f64 (E.f64) (+.f64 (*.f64 22/3 (/.f64 (*.f64 (E.f64) (pow.f64 f 3)) (pow.f64 n 3))) (*.f64 2 (/.f64 (*.f64 (E.f64) f) n))))) 1)
(+.f64 (fma.f64 4 (/.f64 (E.f64) (/.f64 (*.f64 n n) (*.f64 f f))) (+.f64 (E.f64) (fma.f64 22/3 (/.f64 (E.f64) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 2 (/.f64 (E.f64) (/.f64 n f)))))) -1)
(fma.f64 4 (*.f64 (/.f64 (E.f64) n) (/.f64 (*.f64 f f) n)) (+.f64 (fma.f64 22/3 (/.f64 (E.f64) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 2 (*.f64 (/.f64 (E.f64) n) f))) (expm1.f64 1)))
(+.f64 (+.f64 (+.f64 (E.f64) (*.f64 (/.f64 (E.f64) n) (+.f64 (+.f64 f f) (/.f64 (*.f64 4 (*.f64 f f)) n)))) (*.f64 22/3 (/.f64 (E.f64) (pow.f64 (/.f64 n f) 3)))) -1)
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)) 1)
(+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1))
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (expm1.f64 -1))
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))) 1)
(+.f64 (/.f64 (exp.f64 -1) (/.f64 (*.f64 f f) (fma.f64 n (-.f64 (neg.f64 n) n) (*.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))))) (+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1)))
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1
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)))) 1)
(+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (neg.f64 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1)
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (*.f64 (/.f64 n f) (/.f64 (*.f64 n -2) f)) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
(+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (neg.f64 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 2 (/.f64 2 (/.f64 n f)))))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 f (/.f64 (*.f64 n n) (-.f64 f (neg.f64 f)))) (-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (pow.f64 n 3) (*.f64 f f))))) (/.f64 (neg.f64 f) n)))
(+.f64 (/.f64 f n) (+.f64 (+.f64 (/.f64 f n) (/.f64 (*.f64 2 (pow.f64 f 3)) (pow.f64 n 3))) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (+.f64 (+.f64 1 (/.f64 f n)) (*.f64 2 (pow.f64 (/.f64 f n) 3))) (*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 1)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 2 (/.f64 2 (/.f64 n f)))))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 f (/.f64 (*.f64 n n) (-.f64 f (neg.f64 f)))) (-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (pow.f64 n 3) (*.f64 f f))))) (/.f64 (neg.f64 f) n)))
(+.f64 (/.f64 f n) (+.f64 (+.f64 (/.f64 f n) (/.f64 (*.f64 2 (pow.f64 f 3)) (pow.f64 n 3))) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (+.f64 (+.f64 1 (/.f64 f n)) (*.f64 2 (pow.f64 (/.f64 f n) 3))) (*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 1)))

prune725.0ms (6.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2341235
Fresh112
Picked011
Done011
Total2354239
Error
0b
Counts
239 → 4
Alt Table
StatusErrorProgram
0.0b
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
0.0b
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
0.0b
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 4580 to 2159 computations (52.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
0.0b
(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
0.0b
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))

series23.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
n
@inf
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
2.0ms
n
@-inf
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
2.0ms
f
@inf
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
2.0ms
f
@0
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
2.0ms
f
@-inf
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))

rewrite71.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
758×prod-diff_binary64
500×log-prod_binary64
352×fma-def_binary64
266×pow2_binary64
184×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0942
119739
2288139
Stop Event
node limit
Counts
3 → 153
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify91.0ms (0.8%)

Algorithm
egg-herbie
Rules
385×cancel-sign-sub-inv_binary64
382×fma-def_binary64
307×*-commutative_binary64
248×associate-*r*_binary64
240×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04364485
115273771
253632820
Stop Event
node limit
Counts
225 → 247
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (exp.f64 1)))
(+.f64 (/.f64 f n) (log.f64 (sqrt.f64 (exp.f64 1))))
(+.f64 (/.f64 f n) (+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (*.f64 1/2 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (-.f64 (*.f64 4 (/.f64 (exp.f64 1) (pow.f64 n 2))) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 1 n)) 2))) (/.f64 1 (pow.f64 n 2)))))))
(+.f64 (/.f64 f n) (+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 3 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (-.f64 (*.f64 22/3 (/.f64 (exp.f64 1) (pow.f64 n 3))) (*.f64 (sqrt.f64 (/.f64 (E.f64) (exp.f64 1))) (/.f64 (-.f64 (*.f64 4 (/.f64 (E.f64) (pow.f64 n 2))) (pow.f64 (*.f64 (/.f64 1 n) (sqrt.f64 (exp.f64 1))) 2)) n))))) (*.f64 -3 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (/.f64 (-.f64 (*.f64 4 (/.f64 (exp.f64 1) (pow.f64 n 2))) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 1 n)) 2)) n))))) (pow.f64 f 3))) (*.f64 1/2 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (-.f64 (*.f64 4 (/.f64 (exp.f64 1) (pow.f64 n 2))) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 1 n)) 2))) (/.f64 1 (pow.f64 n 2))))))))
(log.f64 (sqrt.f64 (exp.f64 -1)))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (log.f64 (sqrt.f64 (exp.f64 -1))))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 -1))) (*.f64 1/2 (/.f64 (-.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 n (-.f64 (*.f64 -1 n) n)))) (*.f64 1/4 (pow.f64 (-.f64 (*.f64 -1 n) n) 2))) (pow.f64 f 2)))))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 3 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 n) n) 3)) (+.f64 (*.f64 n (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)))) (exp.f64 -1)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1 n) n) (-.f64 (*.f64 (exp.f64 -1) (+.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)))) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1 n) n) (sqrt.f64 (exp.f64 -1)))) 2))))) (exp.f64 -1))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 n (-.f64 (*.f64 -1 n) n))) (exp.f64 -1)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1 n) n) (sqrt.f64 (exp.f64 -1)))) 2)) (-.f64 (*.f64 -1 n) n)) (exp.f64 -1))) (*.f64 1/4 (pow.f64 (-.f64 (*.f64 -1 n) n) 3)))) (pow.f64 f 3))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 -1))) (*.f64 1/2 (/.f64 (-.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 n (-.f64 (*.f64 -1 n) n)))) (*.f64 1/4 (pow.f64 (-.f64 (*.f64 -1 n) n) 2))) (pow.f64 f 2))))))
(log.f64 (sqrt.f64 (exp.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 -1))) (*.f64 -1/2 (/.f64 (-.f64 n (*.f64 -1 n)) f)))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2)) (*.f64 -1/4 (pow.f64 (-.f64 n (*.f64 -1 n)) 2)))) (*.f64 1/4 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (pow.f64 f 2))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 -1))) (*.f64 -1/2 (/.f64 (-.f64 n (*.f64 -1 n)) f))))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2)) (*.f64 -1/4 (pow.f64 (-.f64 n (*.f64 -1 n)) 2)))) (*.f64 1/4 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (pow.f64 f 2))) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 3 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (+.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (*.f64 1/6 (pow.f64 (-.f64 n (*.f64 -1 n)) 3)))) (exp.f64 -1)) (*.f64 1/2 (*.f64 (-.f64 n (*.f64 -1 n)) (-.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 n (*.f64 -1 n)) (sqrt.f64 (exp.f64 -1)))) 2))))) (exp.f64 -1))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (-.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 n (*.f64 -1 n)) (sqrt.f64 (exp.f64 -1)))) 2))) (exp.f64 -1))) (*.f64 1/4 (pow.f64 (-.f64 n (*.f64 -1 n)) 3)))) (pow.f64 f 3))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 -1))) (*.f64 -1/2 (/.f64 (-.f64 n (*.f64 -1 n)) f)))))
(log.f64 (sqrt.f64 (exp.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 -1))) (*.f64 -1 (/.f64 n f)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 -1))) (*.f64 -1 (/.f64 n f))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 -1))) (+.f64 (*.f64 -1 (/.f64 n f)) (*.f64 1/6 (*.f64 (pow.f64 n 3) (-.f64 (*.f64 3 (/.f64 (-.f64 (*.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 f 3))) (/.f64 (exp.f64 -1) (pow.f64 f 3))) (exp.f64 -1))) (*.f64 5 (/.f64 1 (pow.f64 f 3)))))))))
(log.f64 (sqrt.f64 (exp.f64 1)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (-.f64 f (*.f64 -1 f)))) 2)) (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1))))) (*.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (pow.f64 n 2))) (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (-.f64 f (*.f64 -1 f)))) 2)) (-.f64 f (*.f64 -1 f))))) (+.f64 (*.f64 1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (*.f64 3 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (-.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (+.f64 (*.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) f) (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f))))) (exp.f64 1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (E.f64) (exp.f64 1))) (*.f64 (-.f64 f (*.f64 -1 f)) (-.f64 (*.f64 (E.f64) (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 f (*.f64 -1 f)) (sqrt.f64 (exp.f64 1)))) 2)))))))))) (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (-.f64 f (*.f64 -1 f)))) 2)) (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1))))) (*.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (pow.f64 n 2))) (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n)))))
(log.f64 (sqrt.f64 (exp.f64 1)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (-.f64 (*.f64 (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (E.f64)) (-.f64 f (*.f64 -1 f)))) 2)))) (pow.f64 n 2)))))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 3/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (E.f64)) (-.f64 f (*.f64 -1 f)))) 2)) (-.f64 f (*.f64 -1 f))))) (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (*.f64 3 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (-.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) f)) (*.f64 -1 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2))))) (exp.f64 1)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (E.f64) (exp.f64 1))) (*.f64 (-.f64 f (*.f64 -1 f)) (-.f64 (*.f64 (E.f64) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 (*.f64 -1/2 (*.f64 (-.f64 f (*.f64 -1 f)) (sqrt.f64 (exp.f64 1)))) 2)))))))))) (pow.f64 n 3))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (-.f64 (*.f64 (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (E.f64)) (-.f64 f (*.f64 -1 f)))) 2)))) (pow.f64 n 2))))))
(exp.f64 1)
(+.f64 (*.f64 2 (/.f64 (*.f64 f (exp.f64 1)) n)) (exp.f64 1))
(+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 f 2) (exp.f64 1)) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 f (exp.f64 1)) n)) (exp.f64 1)))
(+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 f 2) (exp.f64 1)) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 f (exp.f64 1)) n)) (+.f64 (*.f64 22/3 (/.f64 (*.f64 (pow.f64 f 3) (exp.f64 1)) (pow.f64 n 3))) (exp.f64 1))))
(exp.f64 -1)
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 n (-.f64 (*.f64 -1 n) n))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 n) n) 3)) (+.f64 (*.f64 n (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)))) (exp.f64 -1)) (pow.f64 f 3)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 n (-.f64 (*.f64 -1 n) n))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))))
(exp.f64 -1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (exp.f64 -1))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (exp.f64 -1)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (exp.f64 -1) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (+.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (*.f64 1/6 (pow.f64 (-.f64 n (*.f64 -1 n)) 3)))) (exp.f64 -1)) (pow.f64 f 3))))))
(exp.f64 -1)
(+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (exp.f64 -1))
(+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3)))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 4) (exp.f64 -1)) (pow.f64 f 4))) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3))))))
(exp.f64 1)
(+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (exp.f64 1)) n) (exp.f64 1))
(+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (exp.f64 1)) n) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (exp.f64 1)))
(+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (exp.f64 1)) n) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (+.f64 (*.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) f) (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f))))) (exp.f64 1)) (pow.f64 n 3)) (exp.f64 1))))
(exp.f64 1)
(+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (exp.f64 1)) n) (exp.f64 1))
(+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (exp.f64 1)) n) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (exp.f64 1)))
(+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (exp.f64 1)) n) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) f)) (*.f64 -1 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2))))) (exp.f64 1)) (pow.f64 n 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (exp.f64 1))))
(sqrt.f64 (E.f64))
(+.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 f n)) (sqrt.f64 (E.f64)))
(+.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 f n)) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 4 (/.f64 (E.f64) (pow.f64 n 2))) (pow.f64 (*.f64 (/.f64 1 n) (sqrt.f64 (exp.f64 1))) 2))) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (sqrt.f64 (E.f64))))
(+.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 f n)) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 22/3 (/.f64 (E.f64) (pow.f64 n 3))) (*.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (/.f64 (-.f64 (*.f64 4 (/.f64 (exp.f64 1) (pow.f64 n 2))) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 1 n)) 2)) n)))) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 4 (/.f64 (E.f64) (pow.f64 n 2))) (pow.f64 (*.f64 (/.f64 1 n) (sqrt.f64 (exp.f64 1))) 2))) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (sqrt.f64 (E.f64)))))
(sqrt.f64 (exp.f64 -1))
(+.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 -1 n) n) f) (sqrt.f64 (exp.f64 -1)))))
(+.f64 (sqrt.f64 (exp.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 -1 n) n) f) (sqrt.f64 (exp.f64 -1)))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 -1) (+.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)))) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1 n) n) (sqrt.f64 (exp.f64 -1)))) 2)) (pow.f64 f 2)) (sqrt.f64 (/.f64 1 (exp.f64 -1)))))))
(+.f64 (sqrt.f64 (exp.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 -1 n) n) f) (sqrt.f64 (exp.f64 -1)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 n) n) 3)) (+.f64 (*.f64 n (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)))) (exp.f64 -1)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1 n) n) (-.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 n (-.f64 (*.f64 -1 n) n))) (exp.f64 -1)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1 n) n) (sqrt.f64 (exp.f64 -1)))) 2))))) (pow.f64 f 3)) (sqrt.f64 (/.f64 1 (exp.f64 -1))))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 -1) (+.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)))) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1 n) n) (sqrt.f64 (exp.f64 -1)))) 2)) (pow.f64 f 2)) (sqrt.f64 (/.f64 1 (exp.f64 -1))))))))
(sqrt.f64 (exp.f64 -1))
(+.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 -1/2 (*.f64 (/.f64 (-.f64 n (*.f64 -1 n)) f) (sqrt.f64 (exp.f64 -1)))))
(+.f64 (sqrt.f64 (exp.f64 -1)) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (-.f64 n (*.f64 -1 n)) f) (sqrt.f64 (exp.f64 -1)))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 n (*.f64 -1 n)) (sqrt.f64 (exp.f64 -1)))) 2)) (pow.f64 f 2)) (sqrt.f64 (/.f64 1 (exp.f64 -1)))))))
(+.f64 (sqrt.f64 (exp.f64 -1)) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (-.f64 n (*.f64 -1 n)) f) (sqrt.f64 (exp.f64 -1)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (+.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (*.f64 1/6 (pow.f64 (-.f64 n (*.f64 -1 n)) 3)))) (exp.f64 -1)) (*.f64 1/2 (*.f64 (-.f64 n (*.f64 -1 n)) (-.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 n (*.f64 -1 n)) (sqrt.f64 (exp.f64 -1)))) 2))))) (pow.f64 f 3)) (sqrt.f64 (/.f64 1 (exp.f64 -1))))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 n (*.f64 -1 n)) (sqrt.f64 (exp.f64 -1)))) 2)) (pow.f64 f 2)) (sqrt.f64 (/.f64 1 (exp.f64 -1))))))))
(sqrt.f64 (exp.f64 -1))
(+.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 -1 (*.f64 (/.f64 n f) (sqrt.f64 (exp.f64 -1)))))
(+.f64 (sqrt.f64 (exp.f64 -1)) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (sqrt.f64 (exp.f64 -1)))) (*.f64 -1 (*.f64 (/.f64 n f) (sqrt.f64 (exp.f64 -1))))))
(+.f64 (sqrt.f64 (exp.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 f 3))) (/.f64 (exp.f64 -1) (pow.f64 f 3))) (pow.f64 n 3)) (sqrt.f64 (/.f64 1 (exp.f64 -1))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (sqrt.f64 (exp.f64 -1)))) (*.f64 -1 (*.f64 (/.f64 n f) (sqrt.f64 (exp.f64 -1)))))))
(sqrt.f64 (E.f64))
(+.f64 (sqrt.f64 (E.f64)) (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (/.f64 (-.f64 f (*.f64 -1 f)) n))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (E.f64) (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 f (*.f64 -1 f)) (sqrt.f64 (exp.f64 1)))) 2)) (pow.f64 n 2)) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (+.f64 (sqrt.f64 (E.f64)) (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (/.f64 (-.f64 f (*.f64 -1 f)) n)))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (E.f64) (+.f64 (*.f64 f (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2))))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (-.f64 f (*.f64 -1 f)))) 2)) (-.f64 f (*.f64 -1 f)))))) (pow.f64 n 3)) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (E.f64) (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 f (*.f64 -1 f)) (sqrt.f64 (exp.f64 1)))) 2)) (pow.f64 n 2)) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (+.f64 (sqrt.f64 (E.f64)) (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (/.f64 (-.f64 f (*.f64 -1 f)) n))))))
(sqrt.f64 (E.f64))
(+.f64 (sqrt.f64 (E.f64)) (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (/.f64 (-.f64 f (*.f64 -1 f)) n))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (E.f64) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 (*.f64 -1/2 (*.f64 (-.f64 f (*.f64 -1 f)) (sqrt.f64 (exp.f64 1)))) 2)) (pow.f64 n 2)) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (+.f64 (sqrt.f64 (E.f64)) (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (/.f64 (-.f64 f (*.f64 -1 f)) n)))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (E.f64) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 (*.f64 -1/2 (*.f64 (-.f64 f (*.f64 -1 f)) (sqrt.f64 (exp.f64 1)))) 2)) (pow.f64 n 2)) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (-.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) f)) (*.f64 -1 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (E.f64)) (-.f64 f (*.f64 -1 f)))) 2)) (-.f64 f (*.f64 -1 f)))))) (pow.f64 n 3)) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (+.f64 (sqrt.f64 (E.f64)) (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (/.f64 (-.f64 f (*.f64 -1 f)) n))))))
Outputs
(log.f64 (sqrt.f64 (exp.f64 1)))
(log.f64 (sqrt.f64 (E.f64)))
(+.f64 (/.f64 f n) (log.f64 (sqrt.f64 (exp.f64 1))))
(+.f64 (log.f64 (sqrt.f64 (E.f64))) (/.f64 f n))
(+.f64 (/.f64 f n) (+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (*.f64 1/2 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (-.f64 (*.f64 4 (/.f64 (exp.f64 1) (pow.f64 n 2))) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 1 n)) 2))) (/.f64 1 (pow.f64 n 2)))))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 (E.f64))) (/.f64 f n)) (*.f64 (*.f64 1/2 (*.f64 f f)) (-.f64 (*.f64 (sqrt.f64 (/.f64 (exp.f64 -1) (E.f64))) (-.f64 (*.f64 4 (/.f64 (E.f64) (*.f64 n n))) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 1 n)) 2))) (/.f64 1 (*.f64 n n)))))
(+.f64 (/.f64 f n) (fma.f64 1/2 (*.f64 (*.f64 f f) (fma.f64 (sqrt.f64 (exp.f64 -2)) (-.f64 (/.f64 (*.f64 (E.f64) 4) (*.f64 n n)) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) n) 2)) (/.f64 -1 (*.f64 n n)))) (log.f64 (sqrt.f64 (E.f64)))))
(+.f64 (/.f64 f n) (+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 3 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (-.f64 (*.f64 22/3 (/.f64 (exp.f64 1) (pow.f64 n 3))) (*.f64 (sqrt.f64 (/.f64 (E.f64) (exp.f64 1))) (/.f64 (-.f64 (*.f64 4 (/.f64 (E.f64) (pow.f64 n 2))) (pow.f64 (*.f64 (/.f64 1 n) (sqrt.f64 (exp.f64 1))) 2)) n))))) (*.f64 -3 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (/.f64 (-.f64 (*.f64 4 (/.f64 (exp.f64 1) (pow.f64 n 2))) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 1 n)) 2)) n))))) (pow.f64 f 3))) (*.f64 1/2 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (E.f64) (exp.f64 1)))) (-.f64 (*.f64 4 (/.f64 (exp.f64 1) (pow.f64 n 2))) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 1 n)) 2))) (/.f64 1 (pow.f64 n 2))))))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 (E.f64))) (/.f64 f n)) (fma.f64 1/6 (*.f64 (+.f64 (/.f64 2 (pow.f64 n 3)) (fma.f64 3 (*.f64 (sqrt.f64 (/.f64 (exp.f64 -1) (E.f64))) (-.f64 (*.f64 22/3 (/.f64 (E.f64) (pow.f64 n 3))) (*.f64 (/.f64 (-.f64 (*.f64 4 (/.f64 (E.f64) (*.f64 n n))) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 1 n)) 2)) n) (sqrt.f64 (/.f64 (E.f64) (E.f64)))))) (*.f64 (*.f64 -3 (sqrt.f64 (/.f64 (exp.f64 -1) (E.f64)))) (/.f64 (-.f64 (*.f64 4 (/.f64 (E.f64) (*.f64 n n))) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 1 n)) 2)) n)))) (pow.f64 f 3)) (*.f64 (*.f64 1/2 (*.f64 f f)) (-.f64 (*.f64 (sqrt.f64 (/.f64 (exp.f64 -1) (E.f64))) (-.f64 (*.f64 4 (/.f64 (E.f64) (*.f64 n n))) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (/.f64 1 n)) 2))) (/.f64 1 (*.f64 n n))))))
(+.f64 (log.f64 (sqrt.f64 (E.f64))) (+.f64 (fma.f64 1/6 (*.f64 (+.f64 (/.f64 2 (pow.f64 n 3)) (fma.f64 -3 (*.f64 (sqrt.f64 (exp.f64 -2)) (-.f64 (/.f64 4 (/.f64 (pow.f64 n 3) (E.f64))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (E.f64)) n) 2) n))) (*.f64 (sqrt.f64 (exp.f64 -2)) (*.f64 (fma.f64 22/3 (/.f64 (E.f64) (pow.f64 n 3)) (*.f64 (-.f64 (/.f64 4 (/.f64 (pow.f64 n 3) (E.f64))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (E.f64)) n) 2) n)) -1)) 3)))) (pow.f64 f 3)) (*.f64 (fma.f64 (sqrt.f64 (exp.f64 -2)) (-.f64 (/.f64 (*.f64 (E.f64) 4) (*.f64 n n)) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) n) 2)) (/.f64 -1 (*.f64 n n))) (*.f64 (*.f64 1/2 f) f))) (/.f64 f n)))
(+.f64 (log.f64 (sqrt.f64 (E.f64))) (+.f64 (*.f64 (*.f64 f f) (+.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 (exp.f64 -2)) (-.f64 (/.f64 (*.f64 (E.f64) 4) (*.f64 n n)) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) n) 2)) (/.f64 -1 (*.f64 n n)))) (*.f64 (*.f64 1/6 (+.f64 (/.f64 2 (pow.f64 n 3)) (*.f64 (sqrt.f64 (exp.f64 -2)) (+.f64 (*.f64 3 (-.f64 (/.f64 22/3 (/.f64 (pow.f64 n 3) (E.f64))) (-.f64 (/.f64 4 (/.f64 (pow.f64 n 3) (E.f64))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (E.f64)) n) 2) n)))) (*.f64 -3 (-.f64 (/.f64 4 (/.f64 (pow.f64 n 3) (E.f64))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (E.f64)) n) 2) n))))))) f))) (/.f64 f n)))
(log.f64 (sqrt.f64 (exp.f64 -1)))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (log.f64 (sqrt.f64 (exp.f64 -1))))
(fma.f64 1/2 (/.f64 (-.f64 (neg.f64 n) n) f) (log.f64 (sqrt.f64 (exp.f64 -1))))
(fma.f64 1/2 (/.f64 (*.f64 n -2) f) (log.f64 (sqrt.f64 (exp.f64 -1))))
(-.f64 (log.f64 (sqrt.f64 (exp.f64 -1))) (/.f64 n f))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (+.f64 (log.f64 (sqrt.f64 (exp.f64 -1))) (*.f64 1/2 (/.f64 (-.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 n (-.f64 (*.f64 -1 n) n)))) (*.f64 1/4 (pow.f64 (-.f64 (*.f64 -1 n) n) 2))) (pow.f64 f 2)))))
(+.f64 (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 n) n) f) (log.f64 (sqrt.f64 (exp.f64 -1)))) (*.f64 1/2 (/.f64 (+.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (neg.f64 n) n) 2) (fma.f64 n (-.f64 (neg.f64 n) n) (*.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2)))) (*.f64 -1/4 (pow.f64 (-.f64 (neg.f64 n) n) 2))) (*.f64 f f))))
(fma.f64 1/2 (/.f64 (*.f64 n -2) f) (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (*.f64 n -2) 2) (+.f64 (*.f64 n (*.f64 n -2)) (*.f64 (pow.f64 (*.f64 n -2) 2) 1/4))) (*.f64 f f)) (log.f64 (sqrt.f64 (exp.f64 -1)))))
(fma.f64 1/2 (/.f64 (*.f64 n (*.f64 n -2)) (*.f64 f f)) (-.f64 (log.f64 (sqrt.f64 (exp.f64 -1))) (/.f64 n f)))
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(*.f64 (+.f64 (/.f64 f n) 1) (sqrt.f64 (E.f64)))
(*.f64 (sqrt.f64 (E.f64)) (+.f64 (/.f64 f n) 1))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (E.f64) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 (*.f64 -1/2 (*.f64 (-.f64 f (*.f64 -1 f)) (sqrt.f64 (exp.f64 1)))) 2)) (pow.f64 n 2)) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (+.f64 (sqrt.f64 (E.f64)) (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (/.f64 (-.f64 f (*.f64 -1 f)) n)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (exp.f64 -1)) (/.f64 (-.f64 (*.f64 (E.f64) (fma.f64 f (-.f64 f (neg.f64 f)) (*.f64 1/2 (pow.f64 (-.f64 f (neg.f64 f)) 2)))) (pow.f64 (*.f64 (*.f64 1/2 (sqrt.f64 (E.f64))) (-.f64 f (neg.f64 f))) 2)) (*.f64 n n))) (+.f64 (sqrt.f64 (E.f64)) (*.f64 (*.f64 1/2 (sqrt.f64 (E.f64))) (/.f64 (-.f64 f (neg.f64 f)) n))))
(fma.f64 1/2 (*.f64 (/.f64 (fma.f64 (E.f64) (fma.f64 f (+.f64 f f) (*.f64 1/2 (pow.f64 (+.f64 f f) 2))) (neg.f64 (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (*.f64 1/2 (+.f64 f f))) 2))) n) (/.f64 (sqrt.f64 (exp.f64 -1)) n)) (fma.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (/.f64 (+.f64 f f) n)) (sqrt.f64 (E.f64))))
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (E.f64) 4) (*.f64 f f)) (*.f64 (E.f64) (*.f64 f f))) n) (/.f64 (sqrt.f64 (exp.f64 -1)) n)) (*.f64 (sqrt.f64 (E.f64)) (+.f64 (/.f64 f n) 1)))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 (E.f64) (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))) (pow.f64 (*.f64 -1/2 (*.f64 (-.f64 f (*.f64 -1 f)) (sqrt.f64 (exp.f64 1)))) 2)) (pow.f64 n 2)) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (-.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) f)) (*.f64 -1 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (E.f64)) (-.f64 f (*.f64 -1 f)))) 2)) (-.f64 f (*.f64 -1 f)))))) (pow.f64 n 3)) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (+.f64 (sqrt.f64 (E.f64)) (*.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (/.f64 (-.f64 f (*.f64 -1 f)) n))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (exp.f64 -1)) (/.f64 (-.f64 (*.f64 (E.f64) (fma.f64 f (-.f64 f (neg.f64 f)) (*.f64 1/2 (pow.f64 (-.f64 f (neg.f64 f)) 2)))) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (E.f64)) (-.f64 f (neg.f64 f)))) 2)) (*.f64 n n))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (exp.f64 -1)) (/.f64 (+.f64 (*.f64 (E.f64) (fma.f64 -1/6 (pow.f64 (-.f64 f (neg.f64 f)) 3) (*.f64 -1 (fma.f64 (pow.f64 (-.f64 f (neg.f64 f)) 2) f (*.f64 (*.f64 f f) (-.f64 f (neg.f64 f))))))) (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 (/.f64 (E.f64) (E.f64))) (-.f64 f (neg.f64 f))) (-.f64 (*.f64 (E.f64) (fma.f64 f (-.f64 f (neg.f64 f)) (*.f64 1/2 (pow.f64 (-.f64 f (neg.f64 f)) 2)))) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (E.f64)) (-.f64 f (neg.f64 f)))) 2))))) (pow.f64 n 3))) (+.f64 (sqrt.f64 (E.f64)) (*.f64 (*.f64 1/2 (sqrt.f64 (E.f64))) (/.f64 (-.f64 f (neg.f64 f)) n)))))
(+.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (E.f64)) (/.f64 (+.f64 f f) n)) (sqrt.f64 (E.f64))) (*.f64 (sqrt.f64 (exp.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 (fma.f64 (E.f64) (fma.f64 f (+.f64 f f) (*.f64 1/2 (pow.f64 (+.f64 f f) 2))) (neg.f64 (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (*.f64 1/2 (+.f64 f f))) 2))) (*.f64 n n))) (*.f64 -1/2 (/.f64 (fma.f64 (E.f64) (fma.f64 -1/6 (pow.f64 (+.f64 f f) 3) (neg.f64 (fma.f64 f (pow.f64 (+.f64 f f) 2) (*.f64 (*.f64 f f) (+.f64 f f))))) (*.f64 (*.f64 1/2 (+.f64 f f)) (fma.f64 (E.f64) (fma.f64 f (+.f64 f f) (*.f64 1/2 (pow.f64 (+.f64 f f) 2))) (neg.f64 (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (*.f64 1/2 (+.f64 f f))) 2))))) (pow.f64 n 3))))))
(+.f64 (*.f64 (sqrt.f64 (E.f64)) (+.f64 (/.f64 f n) 1)) (*.f64 (sqrt.f64 (exp.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (*.f64 (E.f64) 4) (*.f64 f f)) (*.f64 (E.f64) (*.f64 f f))) (*.f64 n n))) (*.f64 -1/2 (/.f64 (fma.f64 (E.f64) (-.f64 (*.f64 -1/6 (pow.f64 (+.f64 f f) 3)) (*.f64 (*.f64 f (+.f64 f f)) (+.f64 (+.f64 f f) f))) (*.f64 f (-.f64 (*.f64 (*.f64 (E.f64) 4) (*.f64 f f)) (*.f64 (E.f64) (*.f64 f f))))) (pow.f64 n 3))))))

prune7.0s (59.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New6071608
Fresh101
Picked011
Done022
Total6084612
Error
0b
Counts
612 → 4
Alt Table
StatusErrorProgram
0.0b
(+.f64 (*.f64 1/2 (/.f64 (+.f64 f n) (-.f64 n f))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
0.0b
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
0.0b
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 24405 to 10626 computations (56.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
0.0b
(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
0.0b
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))

prune2.4s (20.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3610361
Fresh000
Picked011
Done033
Total3614365
Error
0b
Counts
365 → 4
Alt Table
StatusErrorProgram
0.0b
(+.f64 (*.f64 1/2 (/.f64 (+.f64 f n) (-.f64 n f))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
0.0b
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
0.0b
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 13505 to 6530 computations (51.6% saved)

regimes18.0ms (0.2%)

Accuracy

Total -40.7b remaining (-260775%)

Threshold costs -40.7b (-260775%)

Counts
7 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 (/.f64 (+.f64 f n) (-.f64 n f))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Outputs
(+.f64 (*.f64 1/2 (/.f64 (+.f64 f n) (-.f64 n f))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
Results
5.0ms0.0bf
8.0ms0.0bn
2.0ms0.0b(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 104 to 36 computations (65.4% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01231
11731
22231
32431
42531
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 (/.f64 (+.f64 f n) (-.f64 n f))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
Outputs
(+.f64 (*.f64 1/2 (/.f64 (+.f64 f n) (-.f64 n f))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))

end20.0ms (0.2%)

Stop Event
done
Compiler

Compiled 44 to 22 computations (50% saved)

Profiling

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