Details

Time bar (total: 7.4s)

analyze124.0ms (1.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
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)

sample1.3s (17.7%)

Results
1.3s8256×body256valid

preprocess119.0ms (1.6%)

Algorithm
egg-herbie
Rules
762×fma-neg_binary64
504×fma-def_binary64
427×times-frac_binary64
366×div-sub_binary64
224×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
12924
25524
311624
427124
556820
6141020
7356520
8460220
9490920
10505020
11508820
12509820
13509820
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 (neg.f64 f) n) (-.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 (neg.f64 f) n) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 f n))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify106.0ms (1.4%)

Algorithm
egg-herbie
Rules
694×fma-def_binary64
621×fma-neg_binary64
451×times-frac_binary64
308×div-sub_binary64
194×associate-/l*_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0712
11812
23812
38212
418212
533012
681810
7253310
8344610
9415410
10427510
11431810
12432810
13432810
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))

eval1.0ms (0%)

Compiler

Compiled 17 to 8 computations (52.9% saved)

prune1.0ms (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
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 17 to 5 computations (70.6% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite52.0ms (0.7%)

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
2231310
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 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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))))

simplify152.0ms (2%)

Algorithm
egg-herbie
Rules
665×times-frac_binary64
552×div-sub_binary64
525×fma-def_binary64
460×distribute-frac-neg_binary64
352×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079504
1264441
2942327
34893327
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 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 (*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n)))) (fma.f64 2 (pow.f64 (/.f64 f n) 3) 1))
-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 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 (*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n)))) (fma.f64 2 (pow.f64 (/.f64 f n) 3) 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 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 (*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n)))) (fma.f64 2 (pow.f64 (/.f64 f n) 3) 1))

eval28.0ms (0.4%)

Compiler

Compiled 845 to 389 computations (54% saved)

prune14.0ms (0.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New48957
Fresh000
Picked011
Done000
Total481058
Error
0b
Counts
58 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
32.7b
-1
0.1b
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
1.2b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
31.9b
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
31.9b
(+.f64 (*.f64 2 (/.f64 f n)) 1)
32.6b
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
0.2b
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
32.7b
1
31.8b
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
Compiler

Compiled 185 to 123 computations (33.5% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 34 to 7 computations (79.4% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite98.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
758×prod-diff_binary64
589×unpow-prod-down_binary64
425×log-prod_binary64
324×fma-def_binary64
227×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
116722
2249822
Stop Event
node limit
Counts
2 → 161
Calls
Call 1
Inputs
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
Outputs
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simplify56.0ms (0.8%)

Algorithm
egg-herbie
Rules
759×associate-/l*_binary64
755×associate-/r*_binary64
554×associate-*r*_binary64
495×associate-*l*_binary64
223×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01941391
16081207
22154990
Stop Event
node limit
Counts
209 → 216
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)))
(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))))
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 (*.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)))
(fma.f64 2 (pow.f64 (/.f64 f n) 3) (+.f64 1 (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2))))
-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 -2 (/.f64 (*.f64 n n) (*.f64 f 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 (*.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 n) (*.f64 f 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 -2 (/.f64 (*.f64 n n) (*.f64 f 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 -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 n) (*.f64 f 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 -2 (/.f64 (*.f64 n n) (*.f64 f 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 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 n) (*.f64 f 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 (+.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 (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (*.f64 n n) f)) (+.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) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)) (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.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 (*.f64 2 (/.f64 f n)) 2)))
(-.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 (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (*.f64 n n) f)) (+.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) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)) (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.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)))
(exp.f64 1)
(E.f64)
(+.f64 (*.f64 2 (/.f64 (*.f64 f (exp.f64 1)) n)) (exp.f64 1))
(fma.f64 2 (/.f64 (*.f64 f (E.f64)) n) (E.f64))
(fma.f64 2 (*.f64 (/.f64 f n) (E.f64)) (E.f64))
(*.f64 (fma.f64 2 (/.f64 f n) 1) (E.f64))
(+.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)))
(fma.f64 4 (/.f64 (*.f64 f f) (/.f64 (*.f64 n n) (E.f64))) (fma.f64 2 (/.f64 (*.f64 f (E.f64)) n) (E.f64)))
(fma.f64 4 (*.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (E.f64)) (fma.f64 2 (*.f64 (/.f64 f n) (E.f64)) (E.f64)))
(fma.f64 4 (*.f64 (/.f64 f n) (*.f64 (/.f64 f n) (E.f64))) (*.f64 (fma.f64 2 (/.f64 f n) 1) (E.f64)))
(+.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))))
(fma.f64 4 (/.f64 (*.f64 f f) (/.f64 (*.f64 n n) (E.f64))) (fma.f64 2 (/.f64 (*.f64 f (E.f64)) n) (fma.f64 22/3 (/.f64 (pow.f64 f 3) (/.f64 (pow.f64 n 3) (E.f64))) (E.f64))))
(fma.f64 4 (*.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (E.f64)) (fma.f64 2 (*.f64 (/.f64 f n) (E.f64)) (fma.f64 22/3 (/.f64 (pow.f64 f 3) (/.f64 (pow.f64 n 3) (E.f64))) (E.f64))))
(+.f64 (fma.f64 22/3 (*.f64 (pow.f64 (/.f64 f n) 3) (E.f64)) (E.f64)) (*.f64 (E.f64) (+.f64 (*.f64 2 (/.f64 f n)) (/.f64 (*.f64 f (*.f64 f 4)) (*.f64 n n)))))
(exp.f64 -1)
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))
(+.f64 (exp.f64 -1) (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))))
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (exp.f64 -1))
(*.f64 (+.f64 (*.f64 (/.f64 -2 f) n) 1) (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 (exp.f64 -1) (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1)))) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2) (*.f64 n (-.f64 (neg.f64 n) n))) (/.f64 (*.f64 f f) (exp.f64 -1))))
(+.f64 (*.f64 (/.f64 (exp.f64 -1) f) (/.f64 (fma.f64 1/2 (pow.f64 (*.f64 n -2) 2) (*.f64 n (*.f64 n -2))) f)) (fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (exp.f64 -1)))
(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (+.f64 (/.f64 (*.f64 (+.f64 n n) (-.f64 n n)) (*.f64 f f)) (*.f64 (/.f64 -2 f) n))))
(+.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))))
(+.f64 (+.f64 (+.f64 (exp.f64 -1) (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1)))) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2) (*.f64 n (-.f64 (neg.f64 n) n))) (/.f64 (*.f64 f f) (exp.f64 -1)))) (/.f64 (fma.f64 1/6 (pow.f64 (-.f64 (neg.f64 n) n) 3) (fma.f64 n (pow.f64 (-.f64 (neg.f64 n) n) 2) (*.f64 (*.f64 n n) (-.f64 (neg.f64 n) n)))) (/.f64 (pow.f64 f 3) (exp.f64 -1))))
(+.f64 (*.f64 (/.f64 (exp.f64 -1) f) (/.f64 (fma.f64 1/2 (pow.f64 (*.f64 n -2) 2) (*.f64 n (*.f64 n -2))) f)) (+.f64 (fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (exp.f64 -1)) (/.f64 (exp.f64 -1) (/.f64 (pow.f64 f 3) (fma.f64 1/6 (pow.f64 (*.f64 n -2) 3) (fma.f64 n (pow.f64 (*.f64 n -2) 2) (*.f64 (pow.f64 n 3) -2)))))))
(+.f64 (*.f64 (+.f64 (*.f64 (/.f64 -2 f) n) 1) (exp.f64 -1)) (*.f64 (exp.f64 -1) (+.f64 (/.f64 (*.f64 (+.f64 n n) (-.f64 n n)) (*.f64 f f)) (/.f64 (+.f64 (*.f64 (pow.f64 n 3) -2) (*.f64 (*.f64 (*.f64 n n) 4) (+.f64 n (*.f64 n -1/3)))) (pow.f64 f 3)))))
(exp.f64 -1)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (exp.f64 -1))
(+.f64 (exp.f64 -1) (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))))
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (exp.f64 -1))
(*.f64 (+.f64 (*.f64 (/.f64 -2 f) n) 1) (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 (exp.f64 -1) (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1)))) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2) (*.f64 n (-.f64 (neg.f64 n) n))) (/.f64 (*.f64 f f) (exp.f64 -1))))
(+.f64 (*.f64 (/.f64 (exp.f64 -1) f) (/.f64 (fma.f64 1/2 (pow.f64 (*.f64 n -2) 2) (*.f64 n (*.f64 n -2))) f)) (fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (exp.f64 -1)))
(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (+.f64 (/.f64 (*.f64 (+.f64 n n) (-.f64 n n)) (*.f64 f f)) (*.f64 (/.f64 -2 f) n))))
(+.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))))))
(fma.f64 -1 (/.f64 (-.f64 n (neg.f64 n)) (/.f64 f (exp.f64 -1))) (+.f64 (/.f64 (fma.f64 -1 (*.f64 n (-.f64 n (neg.f64 n))) (*.f64 1/2 (pow.f64 (-.f64 n (neg.f64 n)) 2))) (/.f64 (*.f64 f f) (exp.f64 -1))) (+.f64 (exp.f64 -1) (neg.f64 (/.f64 (fma.f64 -1 (*.f64 n (pow.f64 (-.f64 n (neg.f64 n)) 2)) (fma.f64 (*.f64 n n) (-.f64 n (neg.f64 n)) (*.f64 1/6 (pow.f64 (-.f64 n (neg.f64 n)) 3)))) (/.f64 (pow.f64 f 3) (exp.f64 -1)))))))
(+.f64 (-.f64 (exp.f64 -1) (/.f64 (-.f64 (fma.f64 1/6 (pow.f64 (+.f64 n n) 3) (+.f64 (pow.f64 n 3) (pow.f64 n 3))) (*.f64 n (pow.f64 (+.f64 n n) 2))) (/.f64 (pow.f64 f 3) (exp.f64 -1)))) (+.f64 (/.f64 (exp.f64 -1) (/.f64 (*.f64 f f) (fma.f64 1/2 (pow.f64 (+.f64 n n) 2) (*.f64 n (*.f64 n -2))))) (/.f64 (*.f64 n -2) (/.f64 f (exp.f64 -1)))))
(+.f64 (-.f64 (exp.f64 -1) (*.f64 (/.f64 (+.f64 (*.f64 2 (pow.f64 n 3)) (*.f64 (*.f64 (*.f64 n n) 4) (+.f64 (*.f64 1/3 n) (neg.f64 n)))) (pow.f64 f 3)) (exp.f64 -1))) (*.f64 (exp.f64 -1) (+.f64 (/.f64 (*.f64 (+.f64 n n) (-.f64 n n)) (*.f64 f f)) (*.f64 (/.f64 -2 f) n))))
(exp.f64 -1)
(+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (exp.f64 -1))
(+.f64 (exp.f64 -1) (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))))
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (exp.f64 -1))
(*.f64 (+.f64 (*.f64 (/.f64 -2 f) n) 1) (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)))))
(fma.f64 -2 (/.f64 n (/.f64 f (exp.f64 -1))) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3)))))
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (fma.f64 2/3 (*.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (exp.f64 -1)) (exp.f64 -1)))
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (fma.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 (/.f64 f n) 3)) (exp.f64 -1)))
(+.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))))))
(fma.f64 -2 (/.f64 n (/.f64 f (exp.f64 -1))) (fma.f64 2/3 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 n 4)) (pow.f64 f 4)) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3))))))
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (fma.f64 2/3 (/.f64 (exp.f64 -1) (/.f64 (pow.f64 f 4) (pow.f64 n 4))) (fma.f64 2/3 (*.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (exp.f64 -1)) (exp.f64 -1))))
(fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (fma.f64 2/3 (*.f64 (/.f64 (exp.f64 -1) (pow.f64 f 4)) (pow.f64 n 4)) (fma.f64 2/3 (/.f64 (exp.f64 -1) (pow.f64 (/.f64 f n) 3)) (exp.f64 -1))))
(exp.f64 1)
(E.f64)
(+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (exp.f64 1)) n) (exp.f64 1))
(fma.f64 2 (/.f64 (*.f64 f (E.f64)) n) (E.f64))
(fma.f64 2 (*.f64 (/.f64 f n) (E.f64)) (E.f64))
(*.f64 (fma.f64 2 (/.f64 f n) 1) (E.f64))
(+.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)))
(fma.f64 4 (/.f64 (*.f64 f f) (/.f64 (*.f64 n n) (E.f64))) (fma.f64 2 (/.f64 (*.f64 f (E.f64)) n) (E.f64)))
(fma.f64 4 (*.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (E.f64)) (fma.f64 2 (*.f64 (/.f64 f n) (E.f64)) (E.f64)))
(fma.f64 4 (*.f64 (/.f64 f n) (*.f64 (/.f64 f n) (E.f64))) (*.f64 (fma.f64 2 (/.f64 f n) 1) (E.f64)))
(+.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))))
(+.f64 (/.f64 (-.f64 f (neg.f64 f)) (/.f64 n (E.f64))) (+.f64 (/.f64 (fma.f64 f (-.f64 f (neg.f64 f)) (*.f64 1/2 (pow.f64 (-.f64 f (neg.f64 f)) 2))) (/.f64 (*.f64 n n) (E.f64))) (+.f64 (E.f64) (/.f64 (fma.f64 1/6 (pow.f64 (-.f64 f (neg.f64 f)) 3) (fma.f64 (pow.f64 (-.f64 f (neg.f64 f)) 2) f (*.f64 (*.f64 f f) (-.f64 f (neg.f64 f))))) (/.f64 (pow.f64 n 3) (E.f64))))))
(+.f64 (+.f64 (fma.f64 2 (*.f64 (/.f64 f n) (E.f64)) (E.f64)) (*.f64 (/.f64 (E.f64) n) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 f f) 2) (*.f64 2 (*.f64 f f))) n))) (*.f64 (/.f64 (fma.f64 1/6 (pow.f64 (+.f64 f f) 3) (fma.f64 f (pow.f64 (+.f64 f f) 2) (*.f64 2 (pow.f64 f 3)))) (pow.f64 n 3)) (E.f64)))
(+.f64 (*.f64 (E.f64) (+.f64 (/.f64 (*.f64 f (*.f64 f 4)) (*.f64 n n)) (/.f64 (+.f64 (*.f64 2 (pow.f64 f 3)) (*.f64 (*.f64 f (*.f64 f 4)) (+.f64 (*.f64 1/3 f) f))) (pow.f64 n 3)))) (*.f64 (fma.f64 2 (/.f64 f n) 1) (E.f64)))
(exp.f64 1)
(E.f64)
(+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (exp.f64 1)) n) (exp.f64 1))
(fma.f64 2 (/.f64 (*.f64 f (E.f64)) n) (E.f64))
(fma.f64 2 (*.f64 (/.f64 f n) (E.f64)) (E.f64))
(*.f64 (fma.f64 2 (/.f64 f n) 1) (E.f64))
(+.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)))
(fma.f64 4 (/.f64 (*.f64 f f) (/.f64 (*.f64 n n) (E.f64))) (fma.f64 2 (/.f64 (*.f64 f (E.f64)) n) (E.f64)))
(fma.f64 4 (*.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (E.f64)) (fma.f64 2 (*.f64 (/.f64 f n) (E.f64)) (E.f64)))
(fma.f64 4 (*.f64 (/.f64 f n) (*.f64 (/.f64 f n) (E.f64))) (*.f64 (fma.f64 2 (/.f64 f n) 1) (E.f64)))
(+.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))))
(+.f64 (/.f64 (-.f64 f (neg.f64 f)) (/.f64 n (E.f64))) (fma.f64 -1 (/.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 (pow.f64 n 3) (E.f64))) (+.f64 (E.f64) (/.f64 (fma.f64 f (-.f64 f (neg.f64 f)) (*.f64 1/2 (pow.f64 (-.f64 f (neg.f64 f)) 2))) (/.f64 (*.f64 n n) (E.f64))))))
(+.f64 (fma.f64 -1 (/.f64 (E.f64) (/.f64 (pow.f64 n 3) (fma.f64 (pow.f64 (+.f64 f f) 3) -1/6 (neg.f64 (fma.f64 f (pow.f64 (+.f64 f f) 2) (*.f64 2 (pow.f64 f 3))))))) (*.f64 (/.f64 (E.f64) n) (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 f f) 2) (*.f64 2 (*.f64 f f))) n))) (fma.f64 2 (*.f64 (/.f64 f n) (E.f64)) (E.f64)))
(-.f64 (fma.f64 4 (*.f64 (/.f64 f n) (*.f64 (/.f64 f n) (E.f64))) (*.f64 (fma.f64 2 (/.f64 f n) 1) (E.f64))) (*.f64 (/.f64 (E.f64) (pow.f64 n 3)) (+.f64 (*.f64 (pow.f64 f 3) -2) (*.f64 (*.f64 f (*.f64 f 4)) (-.f64 (*.f64 -1/3 f) f)))))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 2 (/.f64 f n))
0.0b
(+.f64 (*.f64 2 (/.f64 f n)) 1)
Compiler

Compiled 21 to 11 computations (47.6% saved)

series7.0ms (0.1%)

Counts
2 → 15
Calls

12 calls:

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

rewrite71.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
865×pow1_binary64
805×add-log-exp_binary64
805×log1p-expm1-u_binary64
805×expm1-log1p-u_binary64
790×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
117215
2220415
Stop Event
node limit
Counts
2 → 53
Calls
Call 1
Inputs
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(*.f64 2 (/.f64 f n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 2 (/.f64 f n) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 2) (fma.f64 2 (/.f64 f n) -1)) (/.f64 1 (fma.f64 2 (/.f64 f n) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 (/.f64 f n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (/.f64 f n) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 (/.f64 f n) 1)) (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 f n) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 f n) 1)) 2) (cbrt.f64 (fma.f64 2 (/.f64 f n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 (/.f64 f n) 1)) (sqrt.f64 (fma.f64 2 (/.f64 f n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 f n) 3) 8)) (/.f64 1 (+.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 2) (-.f64 1 (*.f64 2 (/.f64 f n))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 2) -1) (/.f64 1 (fma.f64 2 (/.f64 f n) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 2) (-.f64 1 (*.f64 2 (/.f64 f n)))) (+.f64 1 (*.f64 (pow.f64 (/.f64 f n) 3) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 2 (/.f64 f n) -1) (+.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 f n) 3) 8)) (+.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 2) (-.f64 1 (*.f64 2 (/.f64 f n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 f n) 3) 8)) (+.f64 1 (-.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 2) (*.f64 2 (/.f64 f n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 2) -1) (fma.f64 2 (/.f64 f n) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 f n) 3) 8))) (neg.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 2) (-.f64 1 (*.f64 2 (/.f64 f n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 2) -1)) (neg.f64 (fma.f64 2 (/.f64 f n) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 f n)) 2)) (-.f64 1 (*.f64 2 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 (/.f64 f n) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 (/.f64 f n) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 f n) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2 (/.f64 f n) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 (/.f64 f n) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2 (/.f64 f n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 f n) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 f n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2 (/.f64 f n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 2 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 f n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 f n) 2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (/.f64 f n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 f n))) 2) (cbrt.f64 (*.f64 2 (/.f64 f n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (/.f64 f n))) (sqrt.f64 (*.f64 2 (/.f64 f n))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 2 (/.f64 f n) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 n (*.f64 2 f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 f) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 f)) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 f) 1) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 f) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 f) (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 f) 2) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 f) 1) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 f)) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 f n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 f n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 f n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 f n) 3) 8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (/.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 f n) 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 f n))))))))

simplify19.0ms (0.3%)

Algorithm
egg-herbie
Rules
fma-def_binary64
*-commutative_binary64
associate-/l*_binary64
+-commutative_binary64
associate-*r/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08114
11496
22096
32496
42696
52796
Stop Event
saturated
Counts
68 → 57
Calls
Call 1
Inputs
1
(*.f64 2 (/.f64 f n))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(*.f64 2 (/.f64 f n))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(*.f64 2 (/.f64 f n))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 2 (/.f64 f n)))
1
1
Outputs
1
(*.f64 2 (/.f64 f n))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(fma.f64 (/.f64 2 n) f 1)
(fma.f64 f (/.f64 2 n) 1)
(+.f64 1 (*.f64 2 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(fma.f64 (/.f64 2 n) f 1)
(fma.f64 f (/.f64 2 n) 1)
(+.f64 1 (*.f64 2 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(fma.f64 (/.f64 2 n) f 1)
(fma.f64 f (/.f64 2 n) 1)
(*.f64 2 (/.f64 f n))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(fma.f64 (/.f64 2 n) f 1)
(fma.f64 f (/.f64 2 n) 1)
(+.f64 1 (*.f64 2 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(fma.f64 (/.f64 2 n) f 1)
(fma.f64 f (/.f64 2 n) 1)
(+.f64 1 (*.f64 2 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(fma.f64 (/.f64 2 n) f 1)
(fma.f64 f (/.f64 2 n) 1)
(*.f64 2 (/.f64 f n))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(fma.f64 (/.f64 2 n) f 1)
(fma.f64 f (/.f64 2 n) 1)
(+.f64 1 (*.f64 2 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(fma.f64 (/.f64 2 n) f 1)
(fma.f64 f (/.f64 2 n) 1)
(+.f64 1 (*.f64 2 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(fma.f64 (/.f64 2 n) f 1)
(fma.f64 f (/.f64 2 n) 1)
1
1

localize19.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
Compiler

Compiled 21 to 11 computations (47.6% saved)

series5.0ms (0.1%)

Counts
1 → 6
Calls

6 calls:

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

rewrite94.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
877×pow1_binary64
818×add-log-exp_binary64
816×log1p-expm1-u_binary64
816×expm1-log1p-u_binary64
803×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
11748
222268
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (/.f64 n f)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 -2 (/.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -2 (/.f64 n f) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -2 (/.f64 n f) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2 (/.f64 n f) -1)) (pow.f64 (cbrt.f64 (fma.f64 -2 (/.f64 n f) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (/.f64 n f) -1)) 2) (cbrt.f64 (fma.f64 -2 (/.f64 n f) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -2 (/.f64 n f) -1)) (sqrt.f64 (fma.f64 -2 (/.f64 n f) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 2) (fma.f64 -2 (/.f64 n f) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 2) -1) (/.f64 1 (fma.f64 -2 (/.f64 n f) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) 1) (-.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 2) (fma.f64 -2 (/.f64 n f) 1)) (+.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -2 (/.f64 n f) 1) (+.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 3) -1) (+.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 2) (fma.f64 -2 (/.f64 n f) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 3) -1) (+.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 2) (-.f64 1 (*.f64 (*.f64 -2 (/.f64 n f)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 2) -1) (fma.f64 -2 (/.f64 n f) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 2) -1) (-.f64 (*.f64 -2 (/.f64 n f)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 2) (fma.f64 -2 (/.f64 n f) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 2) -1)) (neg.f64 (fma.f64 -2 (/.f64 n f) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -2 (/.f64 n f) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2 (/.f64 n f) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -2 (/.f64 n f) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -2 (/.f64 n f) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -2 (/.f64 n f) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -2 (/.f64 n f) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -2 (/.f64 n f) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (*.f64 -2 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -2 (/.f64 n f) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -2 (/.f64 n f) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 n f) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 n f) -2 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2 (/.f64 n f)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 n f))) 2) (cbrt.f64 (*.f64 -2 (/.f64 n f))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) (sqrt.f64 (*.f64 -2 (/.f64 n f))) -1)))))

simplify14.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-*r/_binary64
associate-*l/_binary64
associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
11024
21424
31824
41924
Stop Event
saturated
Counts
39 → 35
Calls
Call 1
Inputs
-1
(*.f64 -2 (/.f64 n f))
(*.f64 -2 (/.f64 n f))
(*.f64 -2 (/.f64 n f))
-1
-1
Outputs
-1
(*.f64 -2 (/.f64 n f))
(*.f64 -2 (/.f64 n f))
(*.f64 -2 (/.f64 n f))
-1
-1

localize41.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (-.f64 n f))
0.2b
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
Compiler

Compiled 25 to 10 computations (60% saved)

series9.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
n
@0
(/.f64 1 (-.f64 n f))
1.0ms
n
@inf
(/.f64 1 (-.f64 n f))
1.0ms
f
@-inf
(/.f64 1 (-.f64 n f))
1.0ms
f
@0
(/.f64 1 (-.f64 n f))
1.0ms
n
@-inf
(/.f64 1 (-.f64 n f))

rewrite123.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
976×prod-diff_binary64
453×log-prod_binary64
352×fma-def_binary64
242×pow2_binary64
170×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
118417
2281217
Stop Event
node limit
Counts
2 → 115
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(/.f64 1 (-.f64 n f))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 n f) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 f (-.f64 n f)) 1) (*.f64 (/.f64 n (-.f64 n f)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 n f) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 n f)) (/.f64 (-.f64 n f) (sqrt.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 (neg.f64 (+.f64 n f)) (neg.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 (neg.f64 (-.f64 n f)) (fma.f64 n (-.f64 n f) (*.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (neg.f64 (-.f64 n f)) (-.f64 f n)))))) (#(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 (pow.f64 n 3) (pow.f64 f 3)) -1) (*.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) -1) (*.f64 (-.f64 f n) (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 n f) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) (pow.f64 (/.f64 n (-.f64 n f)) 3)) (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (*.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (pow.f64 (/.f64 n (-.f64 n f)) 2)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 n f) 1) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 n f) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 n f)) (neg.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 /.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n (-.f64 n f) (*.f64 f f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (-.f64 n f)) (-.f64 (*.f64 f f) (*.f64 n n))) (-.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 n f) -1) (neg.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 n f) 3) (pow.f64 (-.f64 n f) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 n f) -3) (pow.f64 (+.f64 n f) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 n f) 3) (pow.f64 (-.f64 n f) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 n (-.f64 n f))) (exp.f64 (/.f64 f (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 n f) 3) (pow.f64 (-.f64 n f) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 n f) -3) (pow.f64 (+.f64 n f) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 n f) 3) (pow.f64 (-.f64 n f) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 n (/.f64 1 (-.f64 n f)) (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 f (/.f64 1 (-.f64 n f)) (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 n f)) n (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 n f)) f (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) f) (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) n) (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 1 (-.f64 n f))) (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 f) 2) (*.f64 (cbrt.f64 f) (/.f64 1 (-.f64 n f))) (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 n f) -1/2) (*.f64 (pow.f64 (-.f64 n f) -1/2) f) (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 n f) -1/2) (*.f64 (pow.f64 (-.f64 n f) -1/2) n) (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (/.f64 1 (-.f64 n f))) (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 f) (*.f64 (sqrt.f64 f) (/.f64 1 (-.f64 n f))) (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 f (-.f64 n f)) 1 (*.f64 (/.f64 n (-.f64 n f)) 1))))) (#(struct:change #<rule 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(*.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 n)) (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 n) (pow.f64 (-.f64 n f) -1/2)) (*.f64 (sqrt.f64 n) (pow.f64 (-.f64 n f) -1/2)) (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f) (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 n f)) (sqrt.f64 f)) (sqrt.f64 f) (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 f (cbrt.f64 (pow.f64 (-.f64 n f) -2))) (/.f64 1 (cbrt.f64 (-.f64 n f))) (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 f (pow.f64 (-.f64 n f) -1/2)) (pow.f64 (-.f64 n f) -1/2) (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n) (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 n f)) (sqrt.f64 n)) (sqrt.f64 n) (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 n (cbrt.f64 (pow.f64 (-.f64 n f) -2))) (/.f64 1 (cbrt.f64 (-.f64 n f))) (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 n (pow.f64 (-.f64 n f) -1/2)) (pow.f64 (-.f64 n f) -1/2) (/.f64 f (-.f64 n f)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 n f)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 n f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (pow.f64 (-.f64 n f) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (/.f64 1 (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 n f) -1/2) (pow.f64 (-.f64 n f) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (/.f64 1 (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 f (+.f64 n f) (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))) (+.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 n f) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 n f) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 n f) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 n f) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 n f)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 n f)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 n f) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 n f))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 n f) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 n f) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 n f)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 n f))) 1))))))

simplify107.0ms (1.4%)

Algorithm
egg-herbie
Rules
828×times-frac_binary64
668×div-sub_binary64
623×fma-def_binary64
440×associate-/l*_binary64
401×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0106999
1335915
21173765
36048765
Stop Event
node limit
Counts
163 → 152
Calls
Call 1
Inputs
-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)))
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)
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 4)) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 4)) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 4)) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))))
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
Outputs
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(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 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.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 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (/.f64 f n) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (/.f64 f n) (/.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 (+.f64 (+.f64 1 (/.f64 f n)) (/.f64 f (/.f64 (*.f64 n n) (-.f64 f (neg.f64 f))))) (/.f64 (neg.f64 f) n))
(+.f64 (/.f64 f n) (+.f64 (/.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 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)))
(+.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) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)) (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.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)))
(+.f64 1 (-.f64 (/.f64 f n) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (/.f64 f n) (/.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 (+.f64 (+.f64 1 (/.f64 f n)) (/.f64 f (/.f64 (*.f64 n n) (-.f64 f (neg.f64 f))))) (/.f64 (neg.f64 f) n))
(+.f64 (/.f64 f n) (+.f64 (/.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 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)))
(+.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) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)) (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.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 2 (/.f64 f n)) 1)
(+.f64 1 (-.f64 (/.f64 f n) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 f n)))
(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 (+.f64 (+.f64 1 (/.f64 f n)) (/.f64 f (/.f64 (*.f64 n n) (-.f64 f (neg.f64 f))))) (/.f64 (neg.f64 f) n))
(+.f64 (/.f64 f n) (+.f64 (/.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 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))))))
(+.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) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)) (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.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)))
(fma.f64 -2 (/.f64 n f) -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 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.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 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) 1)
(fma.f64 -2 (/.f64 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 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.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 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (/.f64 (neg.f64 n) (*.f64 f f)) (/.f64 1 f))
(fma.f64 -1 (/.f64 n (*.f64 f f)) (/.f64 -1 f))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 -1 f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(-.f64 (*.f64 -1 (+.f64 (/.f64 n (*.f64 f f)) (/.f64 (*.f64 n n) (pow.f64 f 3)))) (/.f64 1 f))
(fma.f64 -1 (+.f64 (/.f64 n (*.f64 f f)) (/.f64 (*.f64 n n) (pow.f64 f 3))) (/.f64 -1 f))
(-.f64 (/.f64 -1 f) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n (*.f64 f f))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(-.f64 (fma.f64 -1 (/.f64 n (*.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (*.f64 n n) (pow.f64 f 3)) (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(+.f64 (-.f64 (-.f64 (neg.f64 (/.f64 n (*.f64 f f))) (/.f64 (*.f64 n n) (pow.f64 f 3))) (/.f64 (pow.f64 n 3) (pow.f64 f 4))) (/.f64 -1 f))
(-.f64 (-.f64 (/.f64 -1 f) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n (*.f64 f f)))) (/.f64 (pow.f64 n 3) (pow.f64 f 4)))
(-.f64 (-.f64 (/.f64 -1 f) (/.f64 (pow.f64 n 3) (pow.f64 f 4))) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n (*.f64 f f))))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (/.f64 f (*.f64 n n)))
(+.f64 (/.f64 1 n) (/.f64 (/.f64 f n) n))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (+.f64 (/.f64 1 n) (/.f64 f (*.f64 n n))) (/.f64 (*.f64 f f) (pow.f64 n 3)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (*.f64 n n)) (/.f64 f (/.f64 (pow.f64 n 3) f))))
(+.f64 (/.f64 1 n) (*.f64 (+.f64 1 (/.f64 f n)) (/.f64 f (*.f64 n n))))
(+.f64 (/.f64 1 n) (*.f64 (+.f64 1 (/.f64 f n)) (/.f64 (/.f64 f n) n)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 4)) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))))
(+.f64 (+.f64 (/.f64 1 n) (/.f64 f (*.f64 n n))) (+.f64 (/.f64 (*.f64 f f) (pow.f64 n 3)) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (*.f64 n n)) (+.f64 (/.f64 f (/.f64 (pow.f64 n 3) f)) (/.f64 (pow.f64 f 3) (pow.f64 n 4)))))
(+.f64 (/.f64 1 n) (+.f64 (*.f64 (+.f64 1 (/.f64 f n)) (/.f64 f (*.f64 n n))) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(+.f64 (/.f64 1 n) (+.f64 (*.f64 (+.f64 1 (/.f64 f n)) (/.f64 (/.f64 f n) n)) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (/.f64 f (*.f64 n n)))
(+.f64 (/.f64 1 n) (/.f64 (/.f64 f n) n))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (+.f64 (/.f64 1 n) (/.f64 f (*.f64 n n))) (/.f64 (*.f64 f f) (pow.f64 n 3)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (*.f64 n n)) (/.f64 f (/.f64 (pow.f64 n 3) f))))
(+.f64 (/.f64 1 n) (*.f64 (+.f64 1 (/.f64 f n)) (/.f64 f (*.f64 n n))))
(+.f64 (/.f64 1 n) (*.f64 (+.f64 1 (/.f64 f n)) (/.f64 (/.f64 f n) n)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 4)) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))))
(+.f64 (+.f64 (/.f64 1 n) (/.f64 f (*.f64 n n))) (+.f64 (/.f64 (*.f64 f f) (pow.f64 n 3)) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (*.f64 n n)) (+.f64 (/.f64 f (/.f64 (pow.f64 n 3) f)) (/.f64 (pow.f64 f 3) (pow.f64 n 4)))))
(+.f64 (/.f64 1 n) (+.f64 (*.f64 (+.f64 1 (/.f64 f n)) (/.f64 f (*.f64 n n))) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(+.f64 (/.f64 1 n) (+.f64 (*.f64 (+.f64 1 (/.f64 f n)) (/.f64 (/.f64 f n) n)) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (/.f64 f (*.f64 n n)))
(+.f64 (/.f64 1 n) (/.f64 (/.f64 f n) n))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (+.f64 (/.f64 1 n) (/.f64 f (*.f64 n n))) (/.f64 (*.f64 f f) (pow.f64 n 3)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (*.f64 n n)) (/.f64 f (/.f64 (pow.f64 n 3) f))))
(+.f64 (/.f64 1 n) (*.f64 (+.f64 1 (/.f64 f n)) (/.f64 f (*.f64 n n))))
(+.f64 (/.f64 1 n) (*.f64 (+.f64 1 (/.f64 f n)) (/.f64 (/.f64 f n) n)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 4)) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))))
(+.f64 (+.f64 (/.f64 1 n) (/.f64 f (*.f64 n n))) (+.f64 (/.f64 (*.f64 f f) (pow.f64 n 3)) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (*.f64 n n)) (+.f64 (/.f64 f (/.f64 (pow.f64 n 3) f)) (/.f64 (pow.f64 f 3) (pow.f64 n 4)))))
(+.f64 (/.f64 1 n) (+.f64 (*.f64 (+.f64 1 (/.f64 f n)) (/.f64 f (*.f64 n n))) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(+.f64 (/.f64 1 n) (+.f64 (*.f64 (+.f64 1 (/.f64 f n)) (/.f64 (/.f64 f n) n)) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (/.f64 (neg.f64 n) (*.f64 f f)) (/.f64 1 f))
(fma.f64 -1 (/.f64 n (*.f64 f f)) (/.f64 -1 f))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 -1 f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(-.f64 (*.f64 -1 (+.f64 (/.f64 n (*.f64 f f)) (/.f64 (*.f64 n n) (pow.f64 f 3)))) (/.f64 1 f))
(fma.f64 -1 (+.f64 (/.f64 n (*.f64 f f)) (/.f64 (*.f64 n n) (pow.f64 f 3))) (/.f64 -1 f))
(-.f64 (/.f64 -1 f) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n (*.f64 f f))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(-.f64 (fma.f64 -1 (/.f64 n (*.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (*.f64 n n) (pow.f64 f 3)) (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(+.f64 (-.f64 (-.f64 (neg.f64 (/.f64 n (*.f64 f f))) (/.f64 (*.f64 n n) (pow.f64 f 3))) (/.f64 (pow.f64 n 3) (pow.f64 f 4))) (/.f64 -1 f))
(-.f64 (-.f64 (/.f64 -1 f) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n (*.f64 f f)))) (/.f64 (pow.f64 n 3) (pow.f64 f 4)))
(-.f64 (-.f64 (/.f64 -1 f) (/.f64 (pow.f64 n 3) (pow.f64 f 4))) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n (*.f64 f f))))
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (/.f64 (neg.f64 n) (*.f64 f f)) (/.f64 1 f))
(fma.f64 -1 (/.f64 n (*.f64 f f)) (/.f64 -1 f))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 -1 f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(-.f64 (*.f64 -1 (+.f64 (/.f64 n (*.f64 f f)) (/.f64 (*.f64 n n) (pow.f64 f 3)))) (/.f64 1 f))
(fma.f64 -1 (+.f64 (/.f64 n (*.f64 f f)) (/.f64 (*.f64 n n) (pow.f64 f 3))) (/.f64 -1 f))
(-.f64 (/.f64 -1 f) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n (*.f64 f f))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(-.f64 (fma.f64 -1 (/.f64 n (*.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (*.f64 n n) (pow.f64 f 3)) (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(+.f64 (-.f64 (-.f64 (neg.f64 (/.f64 n (*.f64 f f))) (/.f64 (*.f64 n n) (pow.f64 f 3))) (/.f64 (pow.f64 n 3) (pow.f64 f 4))) (/.f64 -1 f))
(-.f64 (-.f64 (/.f64 -1 f) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n (*.f64 f f)))) (/.f64 (pow.f64 n 3) (pow.f64 f 4)))
(-.f64 (-.f64 (/.f64 -1 f) (/.f64 (pow.f64 n 3) (pow.f64 f 4))) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n (*.f64 f f))))

localize25.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (/.f64 n f))
0.2b
(*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))
Compiler

Compiled 36 to 17 computations (52.8% saved)

series11.0ms (0.1%)

Counts
2 → 30
Calls

12 calls:

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

rewrite127.0ms (1.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
114920
2210420
Stop Event
node limit
Counts
2 → 71
Calls
Call 1
Inputs
(*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))
(+.f64 1 (/.f64 n f))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 n f) 2) (/.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 f (*.f64 n (+.f64 1 (/.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 1 (pow.f64 (/.f64 n f) 3)) (*.f64 (/.f64 f n) (+.f64 1 (-.f64 (pow.f64 (/.f64 n f) 2) (/.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 n f) 2)) (*.f64 (/.f64 f n) (-.f64 1 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (+.f64 1 (/.f64 n f))) f)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 n (+.f64 1 (/.f64 n f)))) (neg.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (+.f64 1 (pow.f64 (/.f64 n f) 3))) (*.f64 f (+.f64 1 (-.f64 (pow.f64 (/.f64 n f) 2) (/.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) (+.f64 1 (pow.f64 (/.f64 n f) 3))) (*.f64 (neg.f64 f) (+.f64 1 (-.f64 (pow.f64 (/.f64 n f) 2) (/.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (-.f64 1 (pow.f64 (/.f64 n f) 2))) (*.f64 f (-.f64 1 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) (-.f64 1 (pow.f64 (/.f64 n f) 2))) (*.f64 (neg.f64 f) (-.f64 1 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 n f) 3)) 1) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 n f) 2) (/.f64 n f))) (/.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 n f) 2)) 1) (*.f64 (-.f64 1 (/.f64 n f)) (/.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 n f) 3)) n) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 n f) 2) (/.f64 n f))) f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 n f) 2)) n) (*.f64 (-.f64 1 (/.f64 n f)) f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 n f) 3)) (neg.f64 n)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 n f) 2) (/.f64 n f))) (neg.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 n f) 2)) (neg.f64 n)) (*.f64 (-.f64 1 (/.f64 n f)) (neg.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (+.f64 1 (/.f64 n f))) 1) f)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (+.f64 1 (/.f64 n f))) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (+.f64 1 (/.f64 n f))) (sqrt.f64 f)) (sqrt.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) (+.f64 1 (/.f64 n f))) (neg.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 n f) 3)) (/.f64 n f)) (+.f64 1 (-.f64 (pow.f64 (/.f64 n f) 2) (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 n f) 2)) (/.f64 n f)) (-.f64 1 (/.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 n f) (+.f64 1 (pow.f64 (/.f64 n f) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 n f) 2) (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 n f) (-.f64 1 (pow.f64 (/.f64 n f) 2))) (-.f64 1 (/.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (/.f64 n f)) (neg.f64 n)) (neg.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 n f)) (+.f64 1 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 n f) 3) (pow.f64 (+.f64 1 (/.f64 n f)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 n f)) 3) (pow.f64 (/.f64 n f) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (/.f64 n f)) (log.f64 (/.f64 n f))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (/.f64 n f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 n f))) (/.f64 (pow.f64 (/.f64 n f) 2) (-.f64 1 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 n f))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 n f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 n f))) 2) (cbrt.f64 (+.f64 1 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 n f))) (sqrt.f64 (+.f64 1 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 n f) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 n f) 2) (/.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 n f) 2)) (/.f64 1 (-.f64 1 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 n f) 2) (/.f64 n f))) (+.f64 1 (pow.f64 (/.f64 n f) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 n f)) (-.f64 1 (pow.f64 (/.f64 n f) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 n f) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 n f) 2) (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 n f) 3)) (+.f64 (pow.f64 (/.f64 n f) 2) (-.f64 1 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 n f) 2)) (-.f64 1 (/.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 n f) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 n f) 2) (/.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 n f) 2))) (neg.f64 (-.f64 1 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 n f) 2) 1) (-.f64 (/.f64 n f) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 n f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 n f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 n f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 n f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 n f) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 n (/.f64 1 f) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 n f)) 2) (cbrt.f64 (/.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 n f)) (sqrt.f64 (/.f64 n f)) 1)))))

simplify112.0ms (1.5%)

Algorithm
egg-herbie
Rules
1254×fma-def_binary64
1248×associate-/r/_binary64
570×unswap-sqr_binary64
560×times-frac_binary64
350×sqr-pow_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
011345
120345
232291
378291
4322291
52670291
64589255
75523255
85964255
96281255
106637255
Stop Event
node limit
Counts
101 → 78
Calls
Call 1
Inputs
(/.f64 n f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(/.f64 n f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(/.f64 n f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
1
(/.f64 n f)
(/.f64 n f)
(/.f64 n f)
1
1
Outputs
(/.f64 n f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(/.f64 (fma.f64 n (/.f64 n f) n) f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(/.f64 (fma.f64 n (/.f64 n f) n) f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(/.f64 (fma.f64 n (/.f64 n f) n) f)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(*.f64 (/.f64 n f) (/.f64 n f))
(*.f64 n (/.f64 n (*.f64 f f)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(/.f64 (fma.f64 n (/.f64 n f) n) f)
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(/.f64 (fma.f64 n (/.f64 n f) n) f)
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(/.f64 (fma.f64 n (/.f64 n f) n) f)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(*.f64 (/.f64 n f) (/.f64 n f))
(*.f64 n (/.f64 n (*.f64 f f)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(/.f64 (fma.f64 n (/.f64 n f) n) f)
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(/.f64 (fma.f64 n (/.f64 n f) n) f)
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(/.f64 (fma.f64 n (/.f64 n f) n) f)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(*.f64 (/.f64 n f) (/.f64 n f))
(*.f64 n (/.f64 n (*.f64 f f)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(/.f64 (fma.f64 n (/.f64 n f) n) f)
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(/.f64 (fma.f64 n (/.f64 n f) n) f)
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(/.f64 (fma.f64 n (/.f64 n f) n) f)
(/.f64 n f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(/.f64 (fma.f64 n (/.f64 n f) n) f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(/.f64 (fma.f64 n (/.f64 n f) n) f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(/.f64 (fma.f64 n (/.f64 n f) n) f)
(/.f64 n f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(/.f64 (fma.f64 n (/.f64 n f) n) f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(/.f64 (fma.f64 n (/.f64 n f) n) f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(/.f64 (fma.f64 n (/.f64 n f) n) f)
1
(/.f64 n f)
(/.f64 n f)
(/.f64 n f)
1
1

eval339.0ms (4.6%)

Compiler

Compiled 10154 to 4864 computations (52.1% saved)

prune141.0ms (1.9%)

Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New5905595
Fresh314
Picked011
Done055
Total59312605
Error
0b
Counts
605 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
33.8b
(/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
32.6b
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
32.7b
-1
32.7b
1
0.2b
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
31.9b
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
31.9b
(+.f64 (*.f64 2 (/.f64 f n)) 1)
31.8b
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
0.1b
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
0.0b
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
61.9b
(*.f64 -2 (/.f64 n f))
Compiler

Compiled 118 to 76 computations (35.6% saved)

localize9.0ms (0.1%)

Compiler

Compiled 13 to 6 computations (53.8% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 28 to 6 computations (78.6% saved)

series18.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
n
@-inf
(/.f64 n (-.f64 n f))
1.0ms
n
@-inf
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
1.0ms
n
@inf
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
1.0ms
f
@-inf
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
1.0ms
f
@inf
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))

rewrite309.0ms (4.1%)

Algorithm
batch-egg-rewrite
Rules
563×fma-def_binary64
501×log-prod_binary64
392×pow-prod-down_binary64
261×fma-neg_binary64
256×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0730
117327
2304227
Stop Event
node limit
Counts
3 → 215
Calls
Call 1
Inputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 f (-.f64 n f))
(/.f64 n (-.f64 n f))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 n (-.f64 n f)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 n (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 n (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 n (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 2) (cbrt.f64 (/.f64 n (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 n) (/.f64 1 (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 n f)) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (/.f64 n (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 n f) -1/2) (/.f64 n (sqrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 n (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 n) (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 n) (sqrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 f (+.f64 n f) (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (-.f64 (*.f64 n n) (*.f64 f f))) (+.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 f n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (/.f64 f n)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 n (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 n (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 n (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 n (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 n (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 n (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 n f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 n (-.f64 n f)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 n (-.f64 n f)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 n (-.f64 n f)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 1 (/.f64 f n))) -1))))))

simplify168.0ms (2.3%)

Algorithm
egg-herbie
Rules
636×fma-def_binary64
592×times-frac_binary64
504×sub-neg_binary64
387×div-sub_binary64
341×distribute-neg-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0961459
13381382
211501104
359091086
Stop Event
node limit
Counts
287 → 271
Calls
Call 1
Inputs
-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 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 1 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))) (*.f64 -1 (/.f64 f n)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 f) f) n)))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 f) f) n)))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 f) f) n)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 f 3)) (pow.f64 f 3)) (pow.f64 n 3)))))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
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 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.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 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 n 3) (*.f64 -1 (pow.f64 n 3))) (pow.f64 f 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(/.f64 f n)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 4)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1)
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1)
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1)
(/.f64 f n)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 4)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(/.f64 f n)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 4)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(*.f64 -1 (/.f64 n f))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(*.f64 -1 (/.f64 n f))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))))
(*.f64 -1 (/.f64 n f))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))))
Outputs
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(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 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -1)
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(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 n) f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 (/.f64 n f) (/.f64 n f))) (/.f64 (pow.f64 n 4) (pow.f64 f 4)))
(-.f64 (-.f64 (*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f))) (pow.f64 (/.f64 n f) 3)) (/.f64 (pow.f64 n 4) (pow.f64 f 4)))
(-.f64 (-.f64 (*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f))) (pow.f64 (/.f64 n f) 3)) (pow.f64 (/.f64 n f) 4))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (*.f64 f f) (*.f64 n n)))
(+.f64 (+.f64 1 (/.f64 f n)) (*.f64 (/.f64 f n) (/.f64 f n)))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 1 (+.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 1 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n)))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (*.f64 f f) (*.f64 n n)))
(+.f64 (+.f64 1 (/.f64 f n)) (*.f64 (/.f64 f n) (/.f64 f n)))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 1 (+.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 1 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n)))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (*.f64 f f) (*.f64 n n)))
(+.f64 (+.f64 1 (/.f64 f n)) (*.f64 (/.f64 f n) (/.f64 f n)))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 1 (+.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 1 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n)))))
(*.f64 -1 (/.f64 n f))
(neg.f64 (/.f64 n f))
(/.f64 (neg.f64 n) f)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))
(-.f64 (/.f64 (neg.f64 n) f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f))))
(-.f64 (-.f64 (/.f64 (neg.f64 n) f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 (/.f64 n f) (/.f64 n f)))
(-.f64 (*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f))) (pow.f64 (/.f64 n f) 3))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))))
(fma.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 n) f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 (/.f64 n f) (/.f64 n f))) (/.f64 (pow.f64 n 4) (pow.f64 f 4)))
(-.f64 (-.f64 (*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f))) (pow.f64 (/.f64 n f) 3)) (/.f64 (pow.f64 n 4) (pow.f64 f 4)))
(-.f64 (-.f64 (*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f))) (pow.f64 (/.f64 n f) 3)) (pow.f64 (/.f64 n f) 4))
(*.f64 -1 (/.f64 n f))
(neg.f64 (/.f64 n f))
(/.f64 (neg.f64 n) f)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))
(-.f64 (/.f64 (neg.f64 n) f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f))))
(-.f64 (-.f64 (/.f64 (neg.f64 n) f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 (/.f64 n f) (/.f64 n f)))
(-.f64 (*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f))) (pow.f64 (/.f64 n f) 3))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))))
(fma.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 n) f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 (/.f64 n f) (/.f64 n f))) (/.f64 (pow.f64 n 4) (pow.f64 f 4)))
(-.f64 (-.f64 (*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f))) (pow.f64 (/.f64 n f) 3)) (/.f64 (pow.f64 n 4) (pow.f64 f 4)))
(-.f64 (-.f64 (*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f))) (pow.f64 (/.f64 n f) 3)) (pow.f64 (/.f64 n f) 4))

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 n f) (-.f64 f n))
2.2b
(-.f64 (*.f64 f f) (*.f64 n n))
33.1b
(/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
Compiler

Compiled 45 to 9 computations (80% saved)

series10.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite114.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
806×fma-def_binary64
705×log-prod_binary64
357×fma-neg_binary64
229×log-div_binary64
221×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01042
124630
2427030
Stop Event
node limit
Counts
3 → 292
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
(-.f64 (*.f64 f f) (*.f64 n n))
(*.f64 (-.f64 n f) (-.f64 f n))
Outputs
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f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 n (-.f64 f n) (*.f64 (neg.f64 f) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 n f) f (*.f64 (-.f64 n f) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 f n) n (*.f64 (-.f64 f n) (neg.f64 f)))))))

simplify73.0ms (1%)

Algorithm
egg-herbie
Rules
661×fma-def_binary64
443×div-sub_binary64
359×times-frac_binary64
308×associate-/l*_binary64
279×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01161137
13851032
21432834
37130834
Stop Event
node limit
Counts
364 → 333
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 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (*.f64 -2 (/.f64 n f))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
(-.f64 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 n (-.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 4 (pow.f64 n 2)))))) (*.f64 -2 (pow.f64 n 3))) (pow.f64 f 3))) (*.f64 -2 (/.f64 n f)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 n 2)) (+.f64 (pow.f64 n 2) (*.f64 -4 (pow.f64 n 2)))) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 n 2)) (+.f64 (pow.f64 n 2) (*.f64 -4 (pow.f64 n 2)))) (pow.f64 f 2))) (+.f64 (*.f64 -2 (/.f64 n f)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 n (-.f64 (*.f64 -1 (pow.f64 n 2)) (+.f64 (pow.f64 n 2) (*.f64 -4 (pow.f64 n 2)))))) (*.f64 -2 (pow.f64 n 3))) (pow.f64 f 3))))) 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 2 (/.f64 f n)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 f n)) 1)) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 f (-.f64 (*.f64 -1 (pow.f64 f 2)) (+.f64 (pow.f64 f 2) (*.f64 -4 (pow.f64 f 2)))))) (*.f64 2 (pow.f64 f 3))) (pow.f64 n 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 f n)) 1))) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 f 2) (+.f64 (*.f64 4 (pow.f64 f 2)) (*.f64 -1 (pow.f64 f 2)))) (pow.f64 n 2)))))
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 f (-.f64 (pow.f64 f 2) (+.f64 (*.f64 4 (pow.f64 f 2)) (*.f64 -1 (pow.f64 f 2)))))) (*.f64 2 (pow.f64 f 3))) (pow.f64 n 3))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 f 2) (+.f64 (*.f64 4 (pow.f64 f 2)) (*.f64 -1 (pow.f64 f 2)))) (pow.f64 n 2))))))
(*.f64 -1 (pow.f64 n 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(pow.f64 f 2)
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(pow.f64 f 2)
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(pow.f64 f 2)
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(*.f64 -1 (pow.f64 n 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(*.f64 -1 (pow.f64 n 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(*.f64 -1 (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 f 2)) (*.f64 2 (*.f64 n f)))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (+.f64 (*.f64 -1 (pow.f64 f 2)) (*.f64 2 (*.f64 n f))))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (+.f64 (*.f64 -1 (pow.f64 f 2)) (*.f64 2 (*.f64 n f))))
(*.f64 -1 (pow.f64 n 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 2 (*.f64 n f)))
(+.f64 (*.f64 -1 (pow.f64 f 2)) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 2 (*.f64 n f))))
(+.f64 (*.f64 -1 (pow.f64 f 2)) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 2 (*.f64 n f))))
(*.f64 -1 (pow.f64 n 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 2 (*.f64 n f)))
(+.f64 (*.f64 -1 (pow.f64 f 2)) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 2 (*.f64 n f))))
(+.f64 (*.f64 -1 (pow.f64 f 2)) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 2 (*.f64 n f))))
(*.f64 -1 (pow.f64 n 2))
(+.f64 (*.f64 2 (*.f64 f n)) (*.f64 -1 (pow.f64 n 2)))
(+.f64 (*.f64 2 (*.f64 f n)) (+.f64 (*.f64 -1 (pow.f64 f 2)) (*.f64 -1 (pow.f64 n 2))))
(+.f64 (*.f64 2 (*.f64 f n)) (+.f64 (*.f64 -1 (pow.f64 f 2)) (*.f64 -1 (pow.f64 n 2))))
(*.f64 -1 (pow.f64 f 2))
(+.f64 (*.f64 2 (*.f64 f n)) (*.f64 -1 (pow.f64 f 2)))
(+.f64 (*.f64 2 (*.f64 f n)) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 -1 (pow.f64 f 2))))
(+.f64 (*.f64 2 (*.f64 f n)) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 -1 (pow.f64 f 2))))
(*.f64 -1 (pow.f64 f 2))
(+.f64 (*.f64 2 (*.f64 f n)) (*.f64 -1 (pow.f64 f 2)))
(+.f64 (*.f64 2 (*.f64 f n)) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 -1 (pow.f64 f 2))))
(+.f64 (*.f64 2 (*.f64 f n)) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 -1 (pow.f64 f 2))))
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 (*.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)))
(fma.f64 2 (+.f64 (/.f64 f n) (pow.f64 (/.f64 f n) 3)) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (*.f64 -2 (/.f64 n f))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
(-.f64 (-.f64 (+.f64 (*.f64 -2 (/.f64 n f)) (/.f64 (*.f64 n n) (*.f64 f f))) 1) (*.f64 (/.f64 (*.f64 n n) (*.f64 f f)) 3))
(-.f64 (fma.f64 -2 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) (fma.f64 (*.f64 (/.f64 n f) (/.f64 n f)) 3 1))
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 n (-.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 4 (pow.f64 n 2)))))) (*.f64 -2 (pow.f64 n 3))) (pow.f64 f 3))) (*.f64 -2 (/.f64 n f)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
(+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (-.f64 (fma.f64 -1 (/.f64 (*.f64 -2 (+.f64 (*.f64 n (-.f64 (*.f64 n n) (*.f64 (*.f64 n n) 3))) (pow.f64 n 3))) (pow.f64 f 3)) (*.f64 -2 (/.f64 n f))) (+.f64 1 (*.f64 (/.f64 (*.f64 n n) (*.f64 f f)) 3))))
(+.f64 (fma.f64 -2 (/.f64 n f) (/.f64 (*.f64 2 (fma.f64 n (fma.f64 n n (*.f64 (*.f64 n n) -3)) (pow.f64 n 3))) (pow.f64 f 3))) (-.f64 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 (*.f64 (/.f64 n f) (/.f64 n f)) 3 1)))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 n 2)) (+.f64 (pow.f64 n 2) (*.f64 -4 (pow.f64 n 2)))) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1)
(-.f64 (-.f64 (+.f64 (*.f64 -2 (/.f64 n f)) (/.f64 (*.f64 n n) (*.f64 f f))) 1) (*.f64 (/.f64 (*.f64 n n) (*.f64 f f)) 3))
(-.f64 (fma.f64 -2 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) (fma.f64 (*.f64 (/.f64 n f) (/.f64 n f)) 3 1))
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 n 2)) (+.f64 (pow.f64 n 2) (*.f64 -4 (pow.f64 n 2)))) (pow.f64 f 2))) (+.f64 (*.f64 -2 (/.f64 n f)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 n (-.f64 (*.f64 -1 (pow.f64 n 2)) (+.f64 (pow.f64 n 2) (*.f64 -4 (pow.f64 n 2)))))) (*.f64 -2 (pow.f64 n 3))) (pow.f64 f 3))))) 1)
(+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (-.f64 (fma.f64 -1 (/.f64 (*.f64 -2 (+.f64 (*.f64 n (-.f64 (*.f64 n n) (*.f64 (*.f64 n n) 3))) (pow.f64 n 3))) (pow.f64 f 3)) (*.f64 -2 (/.f64 n f))) (+.f64 1 (*.f64 (/.f64 (*.f64 n n) (*.f64 f f)) 3))))
(+.f64 (fma.f64 -2 (/.f64 n f) (/.f64 (*.f64 2 (fma.f64 n (fma.f64 n n (*.f64 (*.f64 n n) -3)) (pow.f64 n 3))) (pow.f64 f 3))) (-.f64 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 (*.f64 (/.f64 n f) (/.f64 n f)) 3 1)))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(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 (+.f64 (*.f64 -2 (/.f64 n f)) (/.f64 (*.f64 n n) (*.f64 f f))) 1) (*.f64 (/.f64 (*.f64 n n) (*.f64 f f)) 3))
(-.f64 (fma.f64 -2 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) (fma.f64 (*.f64 (/.f64 n f) (/.f64 n f)) 3 1))
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.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 f f)) (-.f64 (fma.f64 -1 (/.f64 (*.f64 -2 (+.f64 (*.f64 n (-.f64 (*.f64 n n) (*.f64 (*.f64 n n) 3))) (pow.f64 n 3))) (pow.f64 f 3)) (*.f64 -2 (/.f64 n f))) (+.f64 1 (*.f64 (/.f64 (*.f64 n n) (*.f64 f f)) 3))))
(+.f64 (fma.f64 -2 (/.f64 n f) (/.f64 (*.f64 2 (fma.f64 n (fma.f64 n n (*.f64 (*.f64 n n) -3)) (pow.f64 n 3))) (pow.f64 f 3))) (-.f64 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 (*.f64 (/.f64 n f) (/.f64 n f)) 3 1)))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 f n)) 1)) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.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 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 f (-.f64 (*.f64 -1 (pow.f64 f 2)) (+.f64 (pow.f64 f 2) (*.f64 -4 (pow.f64 f 2)))))) (*.f64 2 (pow.f64 f 3))) (pow.f64 n 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 f n)) 1))) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.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)))
(fma.f64 2 (+.f64 (/.f64 f n) (pow.f64 (/.f64 f n) 3)) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 f 2) (+.f64 (*.f64 4 (pow.f64 f 2)) (*.f64 -1 (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 (*.f64 2 (/.f64 f n)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 f (-.f64 (pow.f64 f 2) (+.f64 (*.f64 4 (pow.f64 f 2)) (*.f64 -1 (pow.f64 f 2)))))) (*.f64 2 (pow.f64 f 3))) (pow.f64 n 3))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 f 2) (+.f64 (*.f64 4 (pow.f64 f 2)) (*.f64 -1 (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)))
(fma.f64 2 (+.f64 (/.f64 f n) (pow.f64 (/.f64 f n) 3)) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(*.f64 -1 (pow.f64 n 2))
(neg.f64 (*.f64 n n))
(*.f64 n (neg.f64 n))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(fma.f64 -1 (*.f64 n n) (*.f64 f f))
(-.f64 (*.f64 f f) (*.f64 n n))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(fma.f64 -1 (*.f64 n n) (*.f64 f f))
(-.f64 (*.f64 f f) (*.f64 n n))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(fma.f64 -1 (*.f64 n n) (*.f64 f f))
(-.f64 (*.f64 f f) (*.f64 n n))
(pow.f64 f 2)
(*.f64 f f)
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(fma.f64 -1 (*.f64 n n) (*.f64 f f))
(-.f64 (*.f64 f f) (*.f64 n n))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(fma.f64 -1 (*.f64 n n) (*.f64 f f))
(-.f64 (*.f64 f f) (*.f64 n n))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(fma.f64 -1 (*.f64 n n) (*.f64 f f))
(-.f64 (*.f64 f f) (*.f64 n n))
(pow.f64 f 2)
(*.f64 f f)
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(fma.f64 -1 (*.f64 n n) (*.f64 f f))
(-.f64 (*.f64 f f) (*.f64 n n))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(fma.f64 -1 (*.f64 n n) (*.f64 f f))
(-.f64 (*.f64 f f) (*.f64 n n))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(fma.f64 -1 (*.f64 n n) (*.f64 f f))
(-.f64 (*.f64 f f) (*.f64 n n))
(pow.f64 f 2)
(*.f64 f f)
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(fma.f64 -1 (*.f64 n n) (*.f64 f f))
(-.f64 (*.f64 f f) (*.f64 n n))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(fma.f64 -1 (*.f64 n n) (*.f64 f f))
(-.f64 (*.f64 f f) (*.f64 n n))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(fma.f64 -1 (*.f64 n n) (*.f64 f f))
(-.f64 (*.f64 f f) (*.f64 n n))
(*.f64 -1 (pow.f64 n 2))
(neg.f64 (*.f64 n n))
(*.f64 n (neg.f64 n))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(fma.f64 -1 (*.f64 n n) (*.f64 f f))
(-.f64 (*.f64 f f) (*.f64 n n))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(fma.f64 -1 (*.f64 n n) (*.f64 f f))
(-.f64 (*.f64 f f) (*.f64 n n))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(fma.f64 -1 (*.f64 n n) (*.f64 f f))
(-.f64 (*.f64 f f) (*.f64 n n))
(*.f64 -1 (pow.f64 n 2))
(neg.f64 (*.f64 n n))
(*.f64 n (neg.f64 n))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(fma.f64 -1 (*.f64 n n) (*.f64 f f))
(-.f64 (*.f64 f f) (*.f64 n n))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(fma.f64 -1 (*.f64 n n) (*.f64 f f))
(-.f64 (*.f64 f f) (*.f64 n n))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(fma.f64 -1 (*.f64 n n) (*.f64 f f))
(-.f64 (*.f64 f f) (*.f64 n n))
(*.f64 -1 (pow.f64 f 2))
(neg.f64 (*.f64 f f))
(*.f64 f (neg.f64 f))
(+.f64 (*.f64 -1 (pow.f64 f 2)) (*.f64 2 (*.f64 n f)))
(fma.f64 2 (*.f64 f n) (neg.f64 (*.f64 f f)))
(-.f64 (*.f64 f (*.f64 2 n)) (*.f64 f f))
(*.f64 f (-.f64 (*.f64 2 n) f))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (+.f64 (*.f64 -1 (pow.f64 f 2)) (*.f64 2 (*.f64 n f))))
(fma.f64 2 (*.f64 f n) (*.f64 -1 (+.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (*.f64 f n) (neg.f64 (fma.f64 f f (*.f64 n n))))
(-.f64 (*.f64 n (-.f64 (*.f64 2 f) n)) (*.f64 f f))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (+.f64 (*.f64 -1 (pow.f64 f 2)) (*.f64 2 (*.f64 n f))))
(fma.f64 2 (*.f64 f n) (*.f64 -1 (+.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (*.f64 f n) (neg.f64 (fma.f64 f f (*.f64 n n))))
(-.f64 (*.f64 n (-.f64 (*.f64 2 f) n)) (*.f64 f f))
(*.f64 -1 (pow.f64 n 2))
(neg.f64 (*.f64 n n))
(*.f64 n (neg.f64 n))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 2 (*.f64 n f)))
(fma.f64 2 (*.f64 f n) (neg.f64 (*.f64 n n)))
(fma.f64 (*.f64 2 f) n (*.f64 n (neg.f64 n)))
(*.f64 n (-.f64 (*.f64 2 f) n))
(+.f64 (*.f64 -1 (pow.f64 f 2)) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 2 (*.f64 n f))))
(fma.f64 2 (*.f64 f n) (*.f64 -1 (+.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (*.f64 f n) (neg.f64 (fma.f64 f f (*.f64 n n))))
(-.f64 (*.f64 n (-.f64 (*.f64 2 f) n)) (*.f64 f f))
(+.f64 (*.f64 -1 (pow.f64 f 2)) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 2 (*.f64 n f))))
(fma.f64 2 (*.f64 f n) (*.f64 -1 (+.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (*.f64 f n) (neg.f64 (fma.f64 f f (*.f64 n n))))
(-.f64 (*.f64 n (-.f64 (*.f64 2 f) n)) (*.f64 f f))
(*.f64 -1 (pow.f64 n 2))
(neg.f64 (*.f64 n n))
(*.f64 n (neg.f64 n))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 2 (*.f64 n f)))
(fma.f64 2 (*.f64 f n) (neg.f64 (*.f64 n n)))
(fma.f64 (*.f64 2 f) n (*.f64 n (neg.f64 n)))
(*.f64 n (-.f64 (*.f64 2 f) n))
(+.f64 (*.f64 -1 (pow.f64 f 2)) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 2 (*.f64 n f))))
(fma.f64 2 (*.f64 f n) (*.f64 -1 (+.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (*.f64 f n) (neg.f64 (fma.f64 f f (*.f64 n n))))
(-.f64 (*.f64 n (-.f64 (*.f64 2 f) n)) (*.f64 f f))
(+.f64 (*.f64 -1 (pow.f64 f 2)) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 2 (*.f64 n f))))
(fma.f64 2 (*.f64 f n) (*.f64 -1 (+.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (*.f64 f n) (neg.f64 (fma.f64 f f (*.f64 n n))))
(-.f64 (*.f64 n (-.f64 (*.f64 2 f) n)) (*.f64 f f))
(*.f64 -1 (pow.f64 n 2))
(neg.f64 (*.f64 n n))
(*.f64 n (neg.f64 n))
(+.f64 (*.f64 2 (*.f64 f n)) (*.f64 -1 (pow.f64 n 2)))
(fma.f64 2 (*.f64 f n) (neg.f64 (*.f64 n n)))
(fma.f64 (*.f64 2 f) n (*.f64 n (neg.f64 n)))
(*.f64 n (-.f64 (*.f64 2 f) n))
(+.f64 (*.f64 2 (*.f64 f n)) (+.f64 (*.f64 -1 (pow.f64 f 2)) (*.f64 -1 (pow.f64 n 2))))
(fma.f64 2 (*.f64 f n) (*.f64 -1 (+.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (*.f64 f n) (neg.f64 (fma.f64 f f (*.f64 n n))))
(-.f64 (*.f64 n (-.f64 (*.f64 2 f) n)) (*.f64 f f))
(+.f64 (*.f64 2 (*.f64 f n)) (+.f64 (*.f64 -1 (pow.f64 f 2)) (*.f64 -1 (pow.f64 n 2))))
(fma.f64 2 (*.f64 f n) (*.f64 -1 (+.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (*.f64 f n) (neg.f64 (fma.f64 f f (*.f64 n n))))
(-.f64 (*.f64 n (-.f64 (*.f64 2 f) n)) (*.f64 f f))
(*.f64 -1 (pow.f64 f 2))
(neg.f64 (*.f64 f f))
(*.f64 f (neg.f64 f))
(+.f64 (*.f64 2 (*.f64 f n)) (*.f64 -1 (pow.f64 f 2)))
(fma.f64 2 (*.f64 f n) (neg.f64 (*.f64 f f)))
(-.f64 (*.f64 f (*.f64 2 n)) (*.f64 f f))
(*.f64 f (-.f64 (*.f64 2 n) f))
(+.f64 (*.f64 2 (*.f64 f n)) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 -1 (pow.f64 f 2))))
(fma.f64 2 (*.f64 f n) (*.f64 -1 (+.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (*.f64 f n) (neg.f64 (fma.f64 f f (*.f64 n n))))
(-.f64 (*.f64 n (-.f64 (*.f64 2 f) n)) (*.f64 f f))
(+.f64 (*.f64 2 (*.f64 f n)) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 -1 (pow.f64 f 2))))
(fma.f64 2 (*.f64 f n) (*.f64 -1 (+.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (*.f64 f n) (neg.f64 (fma.f64 f f (*.f64 n n))))
(-.f64 (*.f64 n (-.f64 (*.f64 2 f) n)) (*.f64 f f))
(*.f64 -1 (pow.f64 f 2))
(neg.f64 (*.f64 f f))
(*.f64 f (neg.f64 f))
(+.f64 (*.f64 2 (*.f64 f n)) (*.f64 -1 (pow.f64 f 2)))
(fma.f64 2 (*.f64 f n) (neg.f64 (*.f64 f f)))
(-.f64 (*.f64 f (*.f64 2 n)) (*.f64 f f))
(*.f64 f (-.f64 (*.f64 2 n) f))
(+.f64 (*.f64 2 (*.f64 f n)) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 -1 (pow.f64 f 2))))
(fma.f64 2 (*.f64 f n) (*.f64 -1 (+.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (*.f64 f n) (neg.f64 (fma.f64 f f (*.f64 n n))))
(-.f64 (*.f64 n (-.f64 (*.f64 2 f) n)) (*.f64 f f))
(+.f64 (*.f64 2 (*.f64 f n)) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 -1 (pow.f64 f 2))))
(fma.f64 2 (*.f64 f n) (*.f64 -1 (+.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (*.f64 f n) (neg.f64 (fma.f64 f f (*.f64 n n))))
(-.f64 (*.f64 n (-.f64 (*.f64 2 f) n)) (*.f64 f f))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
0.0b
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
0.0b
(/.f64 (+.f64 n f) (-.f64 n f))
Compiler

Compiled 36 to 9 computations (75% saved)

series51.0ms (0.7%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
38.0ms
f
@inf
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
2.0ms
n
@-inf
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
2.0ms
f
@-inf
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
1.0ms
n
@0
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
1.0ms
n
@inf
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)

rewrite82.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
552×prod-diff_binary64
438×log-prod_binary64
323×exp-prod_binary64
300×pow-prod-down_binary64
240×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
120632
2261932
Stop Event
node limit
Counts
3 → 164
Calls
Call 1
Inputs
(/.f64 (+.f64 n f) (-.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
Outputs
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(/.f64 (+.f64 n f) (-.f64 n f))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2)) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 n f) 2)) (*.f64 (cbrt.f64 (+.f64 n f)) (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1/4) (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 n f)) (*.f64 (sqrt.f64 (+.f64 n f)) (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 n f)) (/.f64 1 (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 n f) -1/2) (/.f64 (+.f64 n f) (sqrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 n f) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 n f) (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 n f) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (-.f64 n f) (fma.f64 f (-.f64 f n) (*.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (pow.f64 (-.f64 n f) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (-.f64 n f) (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (+.f64 n f))) (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 f (-.f64 f n) (*.f64 n n)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 n n) (*.f64 f f)) 1) (pow.f64 (-.f64 n f) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 n f) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 n f) 1) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 n f) (pow.f64 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#<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1) 1))))))

simplify89.0ms (1.2%)

Algorithm
egg-herbie
Rules
479×distribute-rgt-in_binary64
447×distribute-lft-in_binary64
327×fma-def_binary64
253×fma-neg_binary64
228×unsub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03113046
111052373
246711946
Stop Event
node limit
Counts
236 → 209
Calls
Call 1
Inputs
-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)))
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)
(pow.f64 (sqrt.f64 -1) 2)
(+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -2 (/.f64 n f)))
(+.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 f 2))) (pow.f64 (/.f64 -1 (*.f64 (sqrt.f64 -1) f)) 2))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 f 2))))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -2 (/.f64 n f))))
(+.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 f 2))) (pow.f64 (/.f64 -1 (*.f64 (sqrt.f64 -1) f)) 2))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 f 2))))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (*.f64 (pow.f64 n 3) (+.f64 (*.f64 -1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 f 3))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 f 3) (pow.f64 (sqrt.f64 -1) 2)))) (/.f64 1 (*.f64 (pow.f64 f 3) (pow.f64 (sqrt.f64 -1) 4)))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 f 3) (pow.f64 (sqrt.f64 -1) 2)))) (/.f64 1 (*.f64 (pow.f64 f 3) (pow.f64 (sqrt.f64 -1) 4)))))) (*.f64 -2 (/.f64 n f)))))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 f (-.f64 f (*.f64 -1 f)))) (pow.f64 (*.f64 1/2 (-.f64 f (*.f64 -1 f))) 2)) (pow.f64 n 2))) (*.f64 1/4 (/.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) (pow.f64 n 2)))))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 f (*.f64 -1 f)) (+.f64 (*.f64 -1 (*.f64 f (-.f64 f (*.f64 -1 f)))) (pow.f64 (*.f64 1/2 (-.f64 f (*.f64 -1 f))) 2)))) (*.f64 -1 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)))) (pow.f64 n 3))) (+.f64 1 (+.f64 (/.f64 f n) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (+.f64 (*.f64 -1 (*.f64 f (-.f64 f (*.f64 -1 f)))) (pow.f64 (*.f64 1/2 (-.f64 f (*.f64 -1 f))) 2))) (pow.f64 n 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 f (-.f64 f (*.f64 -1 f)))) (pow.f64 (*.f64 1/2 (-.f64 f (*.f64 -1 f))) 2)) (pow.f64 n 2))) (*.f64 1/4 (/.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) (pow.f64 n 2)))))))) (*.f64 -1 (/.f64 f n)))
(pow.f64 (sqrt.f64 -1) 4)
(+.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 f (*.f64 -1 f)))) (*.f64 1/2 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 (sqrt.f64 -1) 2)))) n)))
(+.f64 (pow.f64 (sqrt.f64 -1) 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) (sqrt.f64 -1))) 2))) (pow.f64 n 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 f (*.f64 -1 f)))) (*.f64 1/2 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 (sqrt.f64 -1) 2)))) n)) (*.f64 1/4 (/.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) (pow.f64 n 2))))))
(+.f64 (pow.f64 (sqrt.f64 -1) 4) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) (sqrt.f64 -1))) 2))) (pow.f64 n 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 f (*.f64 -1 f)))) (*.f64 1/2 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 (sqrt.f64 -1) 2)))) n)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 f (*.f64 -1 f)) (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) (sqrt.f64 -1))) 2)))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) (sqrt.f64 -1))) 2)) (-.f64 f (*.f64 -1 f))) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f)))))))) (pow.f64 n 3))) (*.f64 1/4 (/.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) (pow.f64 n 2)))))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 3 (/.f64 1 (pow.f64 n 2))) (pow.f64 (/.f64 1 n) 2)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 3 (/.f64 1 (pow.f64 n 2))) (pow.f64 (/.f64 1 n) 2))))))
(pow.f64 (sqrt.f64 -1) 2)
(-.f64 (+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -1 (/.f64 n f))) (/.f64 n f))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (*.f64 -1 n) n) 2) (*.f64 (pow.f64 f 2) (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 n) n) (sqrt.f64 -1))) 2) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 n) n)))) (pow.f64 f 2))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -1 (/.f64 n f))))) (/.f64 n f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 n) n) (sqrt.f64 -1))) 2) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 n) n))))) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 f 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 n) n) (sqrt.f64 -1))) 2) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 n) n)))) (pow.f64 f 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (*.f64 -1 n) n) 2) (*.f64 (pow.f64 f 2) (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 n) n) (sqrt.f64 -1))) 2) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 n) n))))) (*.f64 (pow.f64 f 3) (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -1 (/.f64 n f))))))) (/.f64 n f))
(pow.f64 (sqrt.f64 -1) 2)
(+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (-.f64 n (*.f64 -1 n)) 2) (*.f64 (pow.f64 f 2) (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (-.f64 n (*.f64 -1 n)) (sqrt.f64 -1))) 2) (*.f64 n (-.f64 n (*.f64 -1 n)))) (pow.f64 f 2))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n)))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 (*.f64 1/2 (/.f64 (-.f64 n (*.f64 -1 n)) (sqrt.f64 -1))) 2)) (-.f64 n (*.f64 -1 n))) (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (-.f64 n (*.f64 -1 n)) (sqrt.f64 -1))) 2) (*.f64 n (-.f64 n (*.f64 -1 n))))) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 f 3))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (-.f64 n (*.f64 -1 n)) 2) (*.f64 (pow.f64 f 2) (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (-.f64 n (*.f64 -1 n)) (sqrt.f64 -1))) 2) (*.f64 n (-.f64 n (*.f64 -1 n)))) (pow.f64 f 2)))))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 n (*.f64 (sqrt.f64 -1) f))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1 (/.f64 n (*.f64 (sqrt.f64 -1) f))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 f 2))) (pow.f64 (/.f64 -1 (*.f64 (sqrt.f64 -1) f)) 2)) (pow.f64 n 2)) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1 (/.f64 n (*.f64 (sqrt.f64 -1) f))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 f 2))) (pow.f64 (/.f64 -1 (*.f64 (sqrt.f64 -1) f)) 2)) (pow.f64 n 2)) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 n 3) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 f 3))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 f 3) (pow.f64 (sqrt.f64 -1) 2)))) (/.f64 1 (*.f64 (pow.f64 f 3) (pow.f64 (sqrt.f64 -1) 4)))))) (sqrt.f64 -1))))))
1
(+.f64 1 (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n)))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 f (-.f64 f (*.f64 -1 f)))) (pow.f64 (*.f64 1/2 (-.f64 f (*.f64 -1 f))) 2)) (pow.f64 n 2))) (+.f64 1 (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 f (*.f64 -1 f)) (+.f64 (*.f64 -1 (*.f64 f (-.f64 f (*.f64 -1 f)))) (pow.f64 (*.f64 1/2 (-.f64 f (*.f64 -1 f))) 2)))) (*.f64 -1 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)))) (pow.f64 n 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 f (-.f64 f (*.f64 -1 f)))) (pow.f64 (*.f64 1/2 (-.f64 f (*.f64 -1 f))) 2)) (pow.f64 n 2))) (+.f64 1 (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n)))))
(pow.f64 (sqrt.f64 -1) 2)
(+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n)))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) (sqrt.f64 -1))) 2)) (pow.f64 n 2))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) (sqrt.f64 -1))) 2)) (pow.f64 n 2))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f)))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) (sqrt.f64 -1))) 2))) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 n 3))))))
1
(+.f64 1 (/.f64 f n))
(+.f64 1 (+.f64 (/.f64 f n) (*.f64 1/2 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (pow.f64 (/.f64 1 n) 2))))))
(+.f64 1 (+.f64 (/.f64 f n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 1/2 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (pow.f64 (/.f64 1 n) 2)))))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 n) n) (*.f64 (sqrt.f64 -1) f))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 n) n) (*.f64 (sqrt.f64 -1) f))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 n) n) (sqrt.f64 -1))) 2) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 n) n)))) (*.f64 (sqrt.f64 -1) (pow.f64 f 2))))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 n) n) (sqrt.f64 -1))) 2) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 n) n))))) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 f 3)))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 n) n) (*.f64 (sqrt.f64 -1) f))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 n) n) (sqrt.f64 -1))) 2) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 n) n)))) (*.f64 (sqrt.f64 -1) (pow.f64 f 2)))))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (-.f64 n (*.f64 -1 n)) (*.f64 (sqrt.f64 -1) f))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 (*.f64 1/2 (/.f64 (-.f64 n (*.f64 -1 n)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 f 2)))) (*.f64 -1/2 (/.f64 (-.f64 n (*.f64 -1 n)) (*.f64 (sqrt.f64 -1) f)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 (*.f64 1/2 (/.f64 (-.f64 n (*.f64 -1 n)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 f 2)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 n (*.f64 -1 n)) (*.f64 (sqrt.f64 -1) f))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n)))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (-.f64 n (*.f64 -1 n)) (sqrt.f64 -1))) 2) (*.f64 n (-.f64 n (*.f64 -1 n))))) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 f 3)))))))
Outputs
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(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 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.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 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) (pow.f64 (/.f64 n f) 3)) -1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (/.f64 (-.f64 f (neg.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 1 (-.f64 (+.f64 (/.f64 f n) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (*.f64 n n) f))) (/.f64 (neg.f64 f) 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 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)))
(-.f64 (+.f64 (+.f64 (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (*.f64 n n) f)) 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 (*.f64 2 (*.f64 f f)) (*.f64 n n)) (+.f64 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))) (*.f64 2 (/.f64 f n))))
(+.f64 (/.f64 f n) (+.f64 (+.f64 1 (*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 1))) (*.f64 2 (pow.f64 (/.f64 f n) 3))))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (/.f64 (-.f64 f (neg.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 1 (-.f64 (+.f64 (/.f64 f n) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (*.f64 n n) f))) (/.f64 (neg.f64 f) 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 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)))
(-.f64 (+.f64 (+.f64 (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (*.f64 n n) f)) 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 (*.f64 2 (*.f64 f f)) (*.f64 n n)) (+.f64 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)))) (*.f64 2 (/.f64 f n))))
(+.f64 (/.f64 f n) (+.f64 (+.f64 1 (*.f64 (/.f64 f n) (fma.f64 2 (/.f64 f n) 1))) (*.f64 2 (pow.f64 (/.f64 f n) 3))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 1 (/.f64 (-.f64 f (neg.f64 f)) n))
(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 1 (-.f64 (+.f64 (/.f64 f n) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (*.f64 n n) f))) (/.f64 (neg.f64 f) 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 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 (*.f64 2 (*.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)))
(fma.f64 2 (pow.f64 (/.f64 f n) 3) (+.f64 1 (*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (/.f64 n f) -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 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.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 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) (pow.f64 (/.f64 n f) 3)) -1)
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) 1)
(fma.f64 -2 (/.f64 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 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.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 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) (pow.f64 (/.f64 n f) 3)) -1)
(pow.f64 (sqrt.f64 -1) 2)
-1
(+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -2 (/.f64 n f)))
(fma.f64 -2 (/.f64 n f) -1)
(+.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 f 2))) (pow.f64 (/.f64 -1 (*.f64 (sqrt.f64 -1) f)) 2))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 f 2))))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 -2 (/.f64 n f))))
(fma.f64 (*.f64 n n) (fma.f64 -1 (+.f64 (/.f64 2 (*.f64 f f)) (pow.f64 (/.f64 -1 (*.f64 f (sqrt.f64 -1))) 2)) (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 f f))) (+.f64 (*.f64 -2 (/.f64 n f)) (pow.f64 (sqrt.f64 -1) 2)))
(fma.f64 (*.f64 n n) (-.f64 (/.f64 -1 (*.f64 f f)) (+.f64 (/.f64 2 (*.f64 f f)) (pow.f64 (/.f64 -1 (*.f64 f (sqrt.f64 -1))) 2))) (fma.f64 -2 (/.f64 n f) -1))
(fma.f64 (*.f64 n n) (-.f64 (+.f64 (/.f64 -1 (*.f64 f f)) (/.f64 -2 (*.f64 f f))) (pow.f64 (/.f64 -1 (*.f64 f (sqrt.f64 -1))) 2)) (fma.f64 -2 (/.f64 n f) -1))
(+.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 f 2))) (pow.f64 (/.f64 -1 (*.f64 (sqrt.f64 -1) f)) 2))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 f 2))))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (*.f64 (pow.f64 n 3) (+.f64 (*.f64 -1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 f 3))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 f 3) (pow.f64 (sqrt.f64 -1) 2)))) (/.f64 1 (*.f64 (pow.f64 f 3) (pow.f64 (sqrt.f64 -1) 4)))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 f 3) (pow.f64 (sqrt.f64 -1) 2)))) (/.f64 1 (*.f64 (pow.f64 f 3) (pow.f64 (sqrt.f64 -1) 4)))))) (*.f64 -2 (/.f64 n f)))))
(fma.f64 (*.f64 n n) (fma.f64 -1 (+.f64 (/.f64 2 (*.f64 f f)) (pow.f64 (/.f64 -1 (*.f64 f (sqrt.f64 -1))) 2)) (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 f f))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.f64 (pow.f64 n 3) (fma.f64 -1 (+.f64 (/.f64 2 (pow.f64 f 3)) (+.f64 (/.f64 2 (*.f64 (pow.f64 f 3) (pow.f64 (sqrt.f64 -1) 2))) (/.f64 (/.f64 1 (pow.f64 f 3)) (pow.f64 (sqrt.f64 -1) 4)))) (+.f64 (/.f64 2 (*.f64 (pow.f64 f 3) (pow.f64 (sqrt.f64 -1) 2))) (/.f64 (/.f64 1 (pow.f64 f 3)) (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 -2 (/.f64 n f)))))
(+.f64 (fma.f64 (*.f64 n n) (-.f64 (/.f64 -1 (*.f64 f f)) (+.f64 (/.f64 2 (*.f64 f f)) (pow.f64 (/.f64 -1 (*.f64 f (sqrt.f64 -1))) 2))) (fma.f64 -2 (/.f64 n f) -1)) (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (/.f64 1 (pow.f64 f 3)) (/.f64 -2 (pow.f64 f 3))) (+.f64 (/.f64 1 (pow.f64 f 3)) (+.f64 (/.f64 2 (pow.f64 f 3)) (/.f64 -2 (pow.f64 f 3)))))))
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1
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(pow.f64 (sqrt.f64 -1) 2)
-1
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1
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(+.f64 (-.f64 (sqrt.f64 -1) (/.f64 n (*.f64 f (sqrt.f64 -1)))) (/.f64 -1/2 (/.f64 (*.f64 f (*.f64 f (sqrt.f64 -1))) (+.f64 (pow.f64 (/.f64 (neg.f64 n) (sqrt.f64 -1)) 2) (*.f64 n (+.f64 n n))))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 n) n) (sqrt.f64 -1))) 2) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 n) n))))) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 f 3)))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 n) n) (*.f64 (sqrt.f64 -1) f))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 n) n) (sqrt.f64 -1))) 2) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1 n) n)))) (*.f64 (sqrt.f64 -1) (pow.f64 f 2)))))))
(fma.f64 -1/2 (/.f64 (fma.f64 -1 (*.f64 (*.f64 n n) (-.f64 (neg.f64 n) n)) (*.f64 -1/2 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (-.f64 (neg.f64 n) n) (sqrt.f64 -1))) 2) (*.f64 (neg.f64 n) (-.f64 (neg.f64 n) n))))))) (*.f64 (pow.f64 f 3) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 n) n) (*.f64 f (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (-.f64 (neg.f64 n) n) (sqrt.f64 -1))) 2) (*.f64 (neg.f64 n) (-.f64 (neg.f64 n) n))) (*.f64 (*.f64 f f) (sqrt.f64 -1)))))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 -2 (/.f64 n f)) (sqrt.f64 -1)) (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 -2 n) (sqrt.f64 -1))) 2) (*.f64 -2 (*.f64 n n))) (*.f64 f (*.f64 f (sqrt.f64 -1)))))) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 -2 n) -1) (-.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 -2 n) (sqrt.f64 -1))) 2) (*.f64 -2 (*.f64 n n))))) (*.f64 -2 (pow.f64 n 3))) (*.f64 (pow.f64 f 3) (sqrt.f64 -1))) (sqrt.f64 -1)))
(+.f64 (-.f64 (sqrt.f64 -1) (/.f64 n (*.f64 f (sqrt.f64 -1)))) (*.f64 (/.f64 -1/2 (sqrt.f64 -1)) (+.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 n) (sqrt.f64 -1)) 2) (*.f64 n (+.f64 n n))) (*.f64 f f)) (/.f64 (+.f64 (*.f64 2 (pow.f64 n 3)) (/.f64 n (/.f64 -1 (+.f64 (pow.f64 (/.f64 (neg.f64 n) (sqrt.f64 -1)) 2) (*.f64 n (+.f64 n n)))))) (pow.f64 f 3)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (-.f64 n (*.f64 -1 n)) (*.f64 (sqrt.f64 -1) f))))
(+.f64 (sqrt.f64 -1) (/.f64 (neg.f64 n) (*.f64 f (sqrt.f64 -1))))
(-.f64 (sqrt.f64 -1) (/.f64 (/.f64 n (sqrt.f64 -1)) f))
(-.f64 (sqrt.f64 -1) (/.f64 n (*.f64 f (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 (*.f64 1/2 (/.f64 (-.f64 n (*.f64 -1 n)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 f 2)))) (*.f64 -1/2 (/.f64 (-.f64 n (*.f64 -1 n)) (*.f64 (sqrt.f64 -1) f)))))
(+.f64 (sqrt.f64 -1) (*.f64 -1/2 (+.f64 (/.f64 (fma.f64 n (-.f64 n (neg.f64 n)) (pow.f64 (*.f64 1/2 (/.f64 (-.f64 n (neg.f64 n)) (sqrt.f64 -1))) 2)) (*.f64 (*.f64 f f) (sqrt.f64 -1))) (/.f64 (-.f64 n (neg.f64 n)) (*.f64 f (sqrt.f64 -1))))))
(fma.f64 -1/2 (+.f64 (/.f64 (+.f64 n n) (*.f64 f (sqrt.f64 -1))) (/.f64 (/.f64 (fma.f64 n (+.f64 n n) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 n n) (sqrt.f64 -1))) 2)) (*.f64 f f)) (sqrt.f64 -1))) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 -1/2 (sqrt.f64 -1)) (+.f64 (*.f64 2 (/.f64 n f)) (/.f64 (fma.f64 n (+.f64 n n) (pow.f64 (/.f64 n (sqrt.f64 -1)) 2)) (*.f64 f f)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 (*.f64 1/2 (/.f64 (-.f64 n (*.f64 -1 n)) (sqrt.f64 -1))) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 f 2)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 n (*.f64 -1 n)) (*.f64 (sqrt.f64 -1) f))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n)))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (-.f64 n (*.f64 -1 n)) (sqrt.f64 -1))) 2) (*.f64 n (-.f64 n (*.f64 -1 n))))) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 f 3)))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (/.f64 (fma.f64 n (-.f64 n (neg.f64 n)) (pow.f64 (*.f64 1/2 (/.f64 (-.f64 n (neg.f64 n)) (sqrt.f64 -1))) 2)) (*.f64 (*.f64 f f) (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (-.f64 n (neg.f64 n)) (*.f64 f (sqrt.f64 -1))) (*.f64 1/2 (/.f64 (fma.f64 -1 (*.f64 (*.f64 n n) (-.f64 n (neg.f64 n))) (*.f64 -1/2 (/.f64 (fma.f64 n (-.f64 n (neg.f64 n)) (pow.f64 (*.f64 1/2 (/.f64 (-.f64 n (neg.f64 n)) (sqrt.f64 -1))) 2)) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 n (neg.f64 n)))))) (*.f64 (pow.f64 f 3) (sqrt.f64 -1)))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (+.f64 (/.f64 (+.f64 n n) (*.f64 f (sqrt.f64 -1))) (/.f64 (/.f64 (fma.f64 n (+.f64 n n) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 n n) (sqrt.f64 -1))) 2)) (*.f64 f f)) (sqrt.f64 -1))) (*.f64 1/2 (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 n n) -1) (fma.f64 n (+.f64 n n) (pow.f64 (*.f64 1/2 (/.f64 (+.f64 n n) (sqrt.f64 -1))) 2))) (*.f64 -2 (pow.f64 n 3))) (*.f64 (pow.f64 f 3) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 -1)) (+.f64 (*.f64 2 (/.f64 n f)) (/.f64 (fma.f64 n (+.f64 n n) (pow.f64 (/.f64 n (sqrt.f64 -1)) 2)) (*.f64 f f)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2 (pow.f64 n 3)) (/.f64 (neg.f64 n) (/.f64 -1 (fma.f64 n (+.f64 n n) (pow.f64 (/.f64 n (sqrt.f64 -1)) 2))))) (*.f64 (pow.f64 f 3) (sqrt.f64 -1))))))

eval321.0ms (4.3%)

Compiler

Compiled 18631 to 6966 computations (62.6% saved)

prune125.0ms (1.7%)

Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New8094813
Fresh112
Picked101
Done279
Total81312825
Error
0b
Counts
825 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
32.7b
-1
33.8b
(/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
32.7b
1
17.6b
(/.f64 (+.f64 (-.f64 n f) (*.f64 (-.f64 1 (/.f64 f n)) f)) (*.f64 (-.f64 1 (/.f64 f n)) (-.f64 n f)))
0.2b
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
31.9b
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
31.9b
(+.f64 (*.f64 2 (/.f64 f n)) 1)
15.5b
(/.f64 (+.f64 (-.f64 n f) (*.f64 (-.f64 (/.f64 n f) 1) n)) (*.f64 (-.f64 (/.f64 n f) 1) (-.f64 n f)))
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
17.3b
(/.f64 (+.f64 (-.f64 (/.f64 n f) 1) (*.f64 (-.f64 1 (/.f64 f n)) 1)) (*.f64 (-.f64 1 (/.f64 f n)) (-.f64 (/.f64 n f) 1)))
0.0b
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
61.9b
(*.f64 -2 (/.f64 n f))
Compiler

Compiled 154 to 93 computations (39.6% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (-.f64 n f) (*.f64 (-.f64 1 (/.f64 f n)) f))
0.1b
(*.f64 (-.f64 1 (/.f64 f n)) (-.f64 n f))
0.1b
(*.f64 (-.f64 1 (/.f64 f n)) f)
17.4b
(/.f64 (+.f64 (-.f64 n f) (*.f64 (-.f64 1 (/.f64 f n)) f)) (*.f64 (-.f64 1 (/.f64 f n)) (-.f64 n f)))
Compiler

Compiled 64 to 25 computations (60.9% saved)

series12.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
1.0ms
f
@inf
(/.f64 (+.f64 (-.f64 n f) (*.f64 (-.f64 1 (/.f64 f n)) f)) (*.f64 (-.f64 1 (/.f64 f n)) (-.f64 n f)))
1.0ms
f
@-inf
(/.f64 (+.f64 (-.f64 n f) (*.f64 (-.f64 1 (/.f64 f n)) f)) (*.f64 (-.f64 1 (/.f64 f n)) (-.f64 n f)))
1.0ms
n
@0
(/.f64 (+.f64 (-.f64 n f) (*.f64 (-.f64 1 (/.f64 f n)) f)) (*.f64 (-.f64 1 (/.f64 f n)) (-.f64 n f)))
1.0ms
n
@-inf
(/.f64 (+.f64 (-.f64 n f) (*.f64 (-.f64 1 (/.f64 f n)) f)) (*.f64 (-.f64 1 (/.f64 f n)) (-.f64 n f)))
1.0ms
n
@inf
(/.f64 (+.f64 (-.f64 n f) (*.f64 (-.f64 1 (/.f64 f n)) f)) (*.f64 (-.f64 1 (/.f64 f n)) (-.f64 n f)))

rewrite101.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
737×log-prod_binary64
640×fma-def_binary64
292×fma-neg_binary64
263×log-div_binary64
242×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01170
125866
2422666
Stop Event
node limit
Counts
4 → 209
Calls
Call 1
Inputs
(/.f64 (+.f64 (-.f64 n f) (*.f64 (-.f64 1 (/.f64 f n)) f)) (*.f64 (-.f64 1 (/.f64 f n)) (-.f64 n f)))
(*.f64 (-.f64 1 (/.f64 f n)) f)
(*.f64 (-.f64 1 (/.f64 f n)) (-.f64 n f))
(+.f64 (-.f64 n f) (*.f64 (-.f64 1 (/.f64 f n)) f))
Outputs
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simplify79.0ms (1.1%)

Algorithm
egg-herbie
Rules
586×fma-def_binary64
510×sub-neg_binary64
403×div-sub_binary64
401×times-frac_binary64
334×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01011396
13341251
213261076
367831076
Stop Event
node limit
Counts
305 → 249
Calls
Call 1
Inputs
-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 2 (/.f64 f n)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 f n)) 1)) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 f (-.f64 (*.f64 -1 (pow.f64 f 2)) (+.f64 (pow.f64 f 2) (*.f64 -4 (pow.f64 f 2)))))) (*.f64 2 (pow.f64 f 3))) (pow.f64 n 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 f n)) 1))) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 f 2) (+.f64 (*.f64 4 (pow.f64 f 2)) (*.f64 -1 (pow.f64 f 2)))) (pow.f64 n 2)))))
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 f (-.f64 (pow.f64 f 2) (+.f64 (*.f64 4 (pow.f64 f 2)) (*.f64 -1 (pow.f64 f 2)))))) (*.f64 2 (pow.f64 f 3))) (pow.f64 n 3))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 f 2) (+.f64 (*.f64 4 (pow.f64 f 2)) (*.f64 -1 (pow.f64 f 2)))) (pow.f64 n 2))))))
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 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (*.f64 -2 (/.f64 n f))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
(-.f64 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 n (-.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 4 (pow.f64 n 2)))))) (*.f64 -2 (pow.f64 n 3))) (pow.f64 f 3))) (*.f64 -2 (/.f64 n f)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (*.f64 -2 (/.f64 n f))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 n (-.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 4 (pow.f64 n 2))))) (pow.f64 f 3))) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (+.f64 (*.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -2 (/.f64 n f))))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
f
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(*.f64 -1 (/.f64 (pow.f64 f 2) n))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(*.f64 -1 (/.f64 (pow.f64 f 2) n))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(*.f64 -1 (/.f64 (pow.f64 f 2) n))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
f
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
f
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
n
(+.f64 n (*.f64 -2 f))
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
(/.f64 (pow.f64 f 2) n)
(+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n))
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
(/.f64 (pow.f64 f 2) n)
(+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n))
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
(/.f64 (pow.f64 f 2) n)
(+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n))
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
n
(+.f64 n (*.f64 -2 f))
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
n
(+.f64 n (*.f64 -2 f))
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
(*.f64 -1 (/.f64 (pow.f64 f 2) n))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
n
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
n
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
n
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(*.f64 -1 (/.f64 (pow.f64 f 2) n))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(*.f64 -1 (/.f64 (pow.f64 f 2) n))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
Outputs
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(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 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.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 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 f n)) 1)) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 f f) (*.f64 n n)) (fma.f64 2 (/.f64 f n) 1)) (*.f64 -3 (/.f64 (*.f64 f f) (*.f64 n n))))
(-.f64 (+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 3 (/.f64 (*.f64 f f) (*.f64 n n)))) (/.f64 (*.f64 f f) (*.f64 n n)))
(fma.f64 (/.f64 2 n) (*.f64 (/.f64 f n) f) (fma.f64 2 (/.f64 f n) 1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 f (-.f64 (*.f64 -1 (pow.f64 f 2)) (+.f64 (pow.f64 f 2) (*.f64 -4 (pow.f64 f 2)))))) (*.f64 2 (pow.f64 f 3))) (pow.f64 n 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 f n)) 1))) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 f (-.f64 (neg.f64 (*.f64 f f)) (*.f64 -3 (*.f64 f f)))) (*.f64 2 (pow.f64 f 3))) (pow.f64 n 3)) (fma.f64 -1 (/.f64 (*.f64 f f) (*.f64 n n)) (fma.f64 2 (/.f64 f n) 1))) (*.f64 -3 (/.f64 (*.f64 f f) (*.f64 n n))))
(+.f64 (-.f64 (-.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (*.f64 f f) (*.f64 n n))) (/.f64 (fma.f64 -2 (*.f64 2 (pow.f64 f 3)) (*.f64 2 (pow.f64 f 3))) (pow.f64 n 3))) (*.f64 3 (/.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (+.f64 (/.f64 f n) (pow.f64 (/.f64 f n) 3)) (fma.f64 (/.f64 2 n) (*.f64 (/.f64 f n) f) 1))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 f 2) (+.f64 (*.f64 4 (pow.f64 f 2)) (*.f64 -1 (pow.f64 f 2)))) (pow.f64 n 2)))))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 f f) (*.f64 n n)) (fma.f64 2 (/.f64 f n) 1)) (*.f64 -3 (/.f64 (*.f64 f f) (*.f64 n n))))
(-.f64 (+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 3 (/.f64 (*.f64 f f) (*.f64 n n)))) (/.f64 (*.f64 f f) (*.f64 n n)))
(fma.f64 (/.f64 2 n) (*.f64 (/.f64 f n) f) (fma.f64 2 (/.f64 f n) 1))
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 f (-.f64 (pow.f64 f 2) (+.f64 (*.f64 4 (pow.f64 f 2)) (*.f64 -1 (pow.f64 f 2)))))) (*.f64 2 (pow.f64 f 3))) (pow.f64 n 3))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 f 2) (+.f64 (*.f64 4 (pow.f64 f 2)) (*.f64 -1 (pow.f64 f 2)))) (pow.f64 n 2))))))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 f (-.f64 (neg.f64 (*.f64 f f)) (*.f64 -3 (*.f64 f f)))) (*.f64 2 (pow.f64 f 3))) (pow.f64 n 3)) (fma.f64 -1 (/.f64 (*.f64 f f) (*.f64 n n)) (fma.f64 2 (/.f64 f n) 1))) (*.f64 -3 (/.f64 (*.f64 f f) (*.f64 n n))))
(+.f64 (-.f64 (-.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (*.f64 f f) (*.f64 n n))) (/.f64 (fma.f64 -2 (*.f64 2 (pow.f64 f 3)) (*.f64 2 (pow.f64 f 3))) (pow.f64 n 3))) (*.f64 3 (/.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (+.f64 (/.f64 f n) (pow.f64 (/.f64 f n) 3)) (fma.f64 (/.f64 2 n) (*.f64 (/.f64 f n) f) 1))
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 -1 (/.f64 (*.f64 f f) (*.f64 n n)) (fma.f64 2 (/.f64 f n) 1)) (*.f64 -3 (/.f64 (*.f64 f f) (*.f64 n n))))
(-.f64 (+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 3 (/.f64 (*.f64 f f) (*.f64 n n)))) (/.f64 (*.f64 f f) (*.f64 n n)))
(fma.f64 (/.f64 2 n) (*.f64 (/.f64 f n) f) (fma.f64 2 (/.f64 f n) 1))
(+.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))))))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 f (-.f64 (neg.f64 (*.f64 f f)) (*.f64 -3 (*.f64 f f)))) (*.f64 2 (pow.f64 f 3))) (pow.f64 n 3)) (fma.f64 -1 (/.f64 (*.f64 f f) (*.f64 n n)) (fma.f64 2 (/.f64 f n) 1))) (*.f64 -3 (/.f64 (*.f64 f f) (*.f64 n n))))
(+.f64 (-.f64 (-.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (*.f64 f f) (*.f64 n n))) (/.f64 (fma.f64 -2 (*.f64 2 (pow.f64 f 3)) (*.f64 2 (pow.f64 f 3))) (pow.f64 n 3))) (*.f64 3 (/.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (+.f64 (/.f64 f n) (pow.f64 (/.f64 f n) 3)) (fma.f64 (/.f64 2 n) (*.f64 (/.f64 f n) f) 1))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (*.f64 -2 (/.f64 n f))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
(-.f64 (-.f64 (+.f64 (*.f64 -2 (/.f64 n f)) (/.f64 (*.f64 n n) (*.f64 f f))) 1) (*.f64 (/.f64 (*.f64 n n) (*.f64 f f)) 3))
(-.f64 (fma.f64 -2 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) (fma.f64 (*.f64 (/.f64 n f) (/.f64 n f)) 3 1))
(fma.f64 -2 (/.f64 n f) (-.f64 (/.f64 (*.f64 n (-.f64 n (*.f64 n 3))) (*.f64 f f)) 1))
(fma.f64 -2 (/.f64 n f) (+.f64 (/.f64 (*.f64 n (-.f64 n (*.f64 n 3))) (*.f64 f f)) -1))
(-.f64 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 n (-.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 4 (pow.f64 n 2)))))) (*.f64 -2 (pow.f64 n 3))) (pow.f64 f 3))) (*.f64 -2 (/.f64 n f)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
(+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (-.f64 (fma.f64 -1 (/.f64 (*.f64 -2 (+.f64 (*.f64 n (-.f64 (*.f64 n n) (*.f64 (*.f64 n n) 3))) (pow.f64 n 3))) (pow.f64 f 3)) (*.f64 -2 (/.f64 n f))) (+.f64 1 (*.f64 (/.f64 (*.f64 n n) (*.f64 f f)) 3))))
(+.f64 (fma.f64 -2 (/.f64 n f) (/.f64 (*.f64 2 (fma.f64 n (fma.f64 n n (*.f64 (*.f64 n n) -3)) (pow.f64 n 3))) (pow.f64 f 3))) (-.f64 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 (*.f64 (/.f64 n f) (/.f64 n f)) 3 1)))
(+.f64 (fma.f64 -2 (/.f64 n f) (-.f64 (/.f64 (*.f64 n (-.f64 n (*.f64 n 3))) (*.f64 f f)) 1)) (/.f64 2 (/.f64 (pow.f64 f 3) (fma.f64 n (*.f64 n (-.f64 n (*.f64 n 3))) (pow.f64 n 3)))))
(+.f64 (fma.f64 -2 (/.f64 n f) (+.f64 (/.f64 (*.f64 n (-.f64 n (*.f64 n 3))) (*.f64 f f)) -1)) (/.f64 2 (/.f64 (pow.f64 f 3) (fma.f64 n (*.f64 n (-.f64 n (*.f64 n 3))) (pow.f64 n 3)))))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (*.f64 -2 (/.f64 n f))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
(-.f64 (-.f64 (+.f64 (*.f64 -2 (/.f64 n f)) (/.f64 (*.f64 n n) (*.f64 f f))) 1) (*.f64 (/.f64 (*.f64 n n) (*.f64 f f)) 3))
(-.f64 (fma.f64 -2 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) (fma.f64 (*.f64 (/.f64 n f) (/.f64 n f)) 3 1))
(fma.f64 -2 (/.f64 n f) (-.f64 (/.f64 (*.f64 n (-.f64 n (*.f64 n 3))) (*.f64 f f)) 1))
(fma.f64 -2 (/.f64 n f) (+.f64 (/.f64 (*.f64 n (-.f64 n (*.f64 n 3))) (*.f64 f f)) -1))
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 n (-.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 4 (pow.f64 n 2))))) (pow.f64 f 3))) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (+.f64 (*.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -2 (/.f64 n f))))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
(-.f64 (fma.f64 2 (/.f64 n (/.f64 (pow.f64 f 3) (-.f64 (*.f64 n n) (*.f64 (*.f64 n n) 3)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (fma.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 -2 (/.f64 n f))))) (+.f64 1 (*.f64 (/.f64 (*.f64 n n) (*.f64 f f)) 3)))
(fma.f64 2 (*.f64 (/.f64 n (pow.f64 f 3)) (fma.f64 n n (*.f64 (*.f64 n n) -3))) (+.f64 (fma.f64 -2 (/.f64 n f) (/.f64 (*.f64 2 (pow.f64 n 3)) (pow.f64 f 3))) (-.f64 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 (*.f64 (/.f64 n f) (/.f64 n f)) 3 1))))
(+.f64 (-.f64 (/.f64 (*.f64 n (-.f64 n (*.f64 n 3))) (*.f64 f f)) 1) (fma.f64 2 (*.f64 (*.f64 n (-.f64 n (*.f64 n 3))) (/.f64 n (pow.f64 f 3))) (fma.f64 -2 (/.f64 n f) (*.f64 2 (pow.f64 (/.f64 n f) 3)))))
(+.f64 (+.f64 (/.f64 (*.f64 n (-.f64 n (*.f64 n 3))) (*.f64 f f)) -1) (fma.f64 2 (*.f64 (*.f64 n (-.f64 n (*.f64 n 3))) (/.f64 n (pow.f64 f 3))) (fma.f64 -2 (/.f64 n f) (*.f64 2 (pow.f64 (/.f64 n f) 3)))))
f
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 f (/.f64 f (/.f64 n f)))
(-.f64 f (*.f64 (/.f64 f n) f))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 f (/.f64 f (/.f64 n f)))
(-.f64 f (*.f64 (/.f64 f n) f))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 f (/.f64 f (/.f64 n f)))
(-.f64 f (*.f64 (/.f64 f n) f))
(*.f64 -1 (/.f64 (pow.f64 f 2) n))
(/.f64 (neg.f64 (*.f64 f f)) n)
(/.f64 f (/.f64 n (neg.f64 f)))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 f (/.f64 f (/.f64 n f)))
(-.f64 f (*.f64 (/.f64 f n) f))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 f (/.f64 f (/.f64 n f)))
(-.f64 f (*.f64 (/.f64 f n) f))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 f (/.f64 f (/.f64 n f)))
(-.f64 f (*.f64 (/.f64 f n) f))
(*.f64 -1 (/.f64 (pow.f64 f 2) n))
(/.f64 (neg.f64 (*.f64 f f)) n)
(/.f64 f (/.f64 n (neg.f64 f)))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 f (/.f64 f (/.f64 n f)))
(-.f64 f (*.f64 (/.f64 f n) f))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 f (/.f64 f (/.f64 n f)))
(-.f64 f (*.f64 (/.f64 f n) f))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 f (/.f64 f (/.f64 n f)))
(-.f64 f (*.f64 (/.f64 f n) f))
(*.f64 -1 (/.f64 (pow.f64 f 2) n))
(/.f64 (neg.f64 (*.f64 f f)) n)
(/.f64 f (/.f64 n (neg.f64 f)))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 f (/.f64 f (/.f64 n f)))
(-.f64 f (*.f64 (/.f64 f n) f))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 f (/.f64 f (/.f64 n f)))
(-.f64 f (*.f64 (/.f64 f n) f))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 f (/.f64 f (/.f64 n f)))
(-.f64 f (*.f64 (/.f64 f n) f))
f
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 f (/.f64 f (/.f64 n f)))
(-.f64 f (*.f64 (/.f64 f n) f))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 f (/.f64 f (/.f64 n f)))
(-.f64 f (*.f64 (/.f64 f n) f))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 f (/.f64 f (/.f64 n f)))
(-.f64 f (*.f64 (/.f64 f n) f))
f
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 f (/.f64 f (/.f64 n f)))
(-.f64 f (*.f64 (/.f64 f n) f))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 f (/.f64 f (/.f64 n f)))
(-.f64 f (*.f64 (/.f64 f n) f))
(+.f64 f (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 f (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 f (/.f64 f (/.f64 n f)))
(-.f64 f (*.f64 (/.f64 f n) f))
n
(+.f64 n (*.f64 -2 f))
(fma.f64 -2 f n)
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
(+.f64 n (fma.f64 -2 f (/.f64 (*.f64 f f) n)))
(+.f64 n (fma.f64 -2 f (/.f64 f (/.f64 n f))))
(+.f64 n (fma.f64 -2 f (*.f64 (/.f64 f n) f)))
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
(+.f64 n (fma.f64 -2 f (/.f64 (*.f64 f f) n)))
(+.f64 n (fma.f64 -2 f (/.f64 f (/.f64 n f))))
(+.f64 n (fma.f64 -2 f (*.f64 (/.f64 f n) f)))
(/.f64 (pow.f64 f 2) n)
(/.f64 (*.f64 f f) n)
(/.f64 f (/.f64 n f))
(*.f64 (/.f64 f n) f)
(+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n))
(fma.f64 -2 f (/.f64 (*.f64 f f) n))
(fma.f64 -2 f (/.f64 f (/.f64 n f)))
(fma.f64 -2 f (*.f64 (/.f64 f n) f))
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
(+.f64 n (fma.f64 -2 f (/.f64 (*.f64 f f) n)))
(+.f64 n (fma.f64 -2 f (/.f64 f (/.f64 n f))))
(+.f64 n (fma.f64 -2 f (*.f64 (/.f64 f n) f)))
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
(+.f64 n (fma.f64 -2 f (/.f64 (*.f64 f f) n)))
(+.f64 n (fma.f64 -2 f (/.f64 f (/.f64 n f))))
(+.f64 n (fma.f64 -2 f (*.f64 (/.f64 f n) f)))
(/.f64 (pow.f64 f 2) n)
(/.f64 (*.f64 f f) n)
(/.f64 f (/.f64 n f))
(*.f64 (/.f64 f n) f)
(+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n))
(fma.f64 -2 f (/.f64 (*.f64 f f) n))
(fma.f64 -2 f (/.f64 f (/.f64 n f)))
(fma.f64 -2 f (*.f64 (/.f64 f n) f))
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
(+.f64 n (fma.f64 -2 f (/.f64 (*.f64 f f) n)))
(+.f64 n (fma.f64 -2 f (/.f64 f (/.f64 n f))))
(+.f64 n (fma.f64 -2 f (*.f64 (/.f64 f n) f)))
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
(+.f64 n (fma.f64 -2 f (/.f64 (*.f64 f f) n)))
(+.f64 n (fma.f64 -2 f (/.f64 f (/.f64 n f))))
(+.f64 n (fma.f64 -2 f (*.f64 (/.f64 f n) f)))
(/.f64 (pow.f64 f 2) n)
(/.f64 (*.f64 f f) n)
(/.f64 f (/.f64 n f))
(*.f64 (/.f64 f n) f)
(+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n))
(fma.f64 -2 f (/.f64 (*.f64 f f) n))
(fma.f64 -2 f (/.f64 f (/.f64 n f)))
(fma.f64 -2 f (*.f64 (/.f64 f n) f))
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
(+.f64 n (fma.f64 -2 f (/.f64 (*.f64 f f) n)))
(+.f64 n (fma.f64 -2 f (/.f64 f (/.f64 n f))))
(+.f64 n (fma.f64 -2 f (*.f64 (/.f64 f n) f)))
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
(+.f64 n (fma.f64 -2 f (/.f64 (*.f64 f f) n)))
(+.f64 n (fma.f64 -2 f (/.f64 f (/.f64 n f))))
(+.f64 n (fma.f64 -2 f (*.f64 (/.f64 f n) f)))
n
(+.f64 n (*.f64 -2 f))
(fma.f64 -2 f n)
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
(+.f64 n (fma.f64 -2 f (/.f64 (*.f64 f f) n)))
(+.f64 n (fma.f64 -2 f (/.f64 f (/.f64 n f))))
(+.f64 n (fma.f64 -2 f (*.f64 (/.f64 f n) f)))
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
(+.f64 n (fma.f64 -2 f (/.f64 (*.f64 f f) n)))
(+.f64 n (fma.f64 -2 f (/.f64 f (/.f64 n f))))
(+.f64 n (fma.f64 -2 f (*.f64 (/.f64 f n) f)))
n
(+.f64 n (*.f64 -2 f))
(fma.f64 -2 f n)
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
(+.f64 n (fma.f64 -2 f (/.f64 (*.f64 f f) n)))
(+.f64 n (fma.f64 -2 f (/.f64 f (/.f64 n f))))
(+.f64 n (fma.f64 -2 f (*.f64 (/.f64 f n) f)))
(+.f64 n (+.f64 (*.f64 -2 f) (/.f64 (pow.f64 f 2) n)))
(+.f64 n (fma.f64 -2 f (/.f64 (*.f64 f f) n)))
(+.f64 n (fma.f64 -2 f (/.f64 f (/.f64 n f))))
(+.f64 n (fma.f64 -2 f (*.f64 (/.f64 f n) f)))
(*.f64 -1 (/.f64 (pow.f64 f 2) n))
(/.f64 (neg.f64 (*.f64 f f)) n)
(/.f64 f (/.f64 n (neg.f64 f)))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 n (/.f64 f (/.f64 n f)))
(-.f64 n (*.f64 (/.f64 f n) f))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 n (/.f64 f (/.f64 n f)))
(-.f64 n (*.f64 (/.f64 f n) f))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 n (/.f64 f (/.f64 n f)))
(-.f64 n (*.f64 (/.f64 f n) f))
n
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 n (/.f64 f (/.f64 n f)))
(-.f64 n (*.f64 (/.f64 f n) f))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 n (/.f64 f (/.f64 n f)))
(-.f64 n (*.f64 (/.f64 f n) f))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 n (/.f64 f (/.f64 n f)))
(-.f64 n (*.f64 (/.f64 f n) f))
n
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 n (/.f64 f (/.f64 n f)))
(-.f64 n (*.f64 (/.f64 f n) f))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 n (/.f64 f (/.f64 n f)))
(-.f64 n (*.f64 (/.f64 f n) f))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 n (/.f64 f (/.f64 n f)))
(-.f64 n (*.f64 (/.f64 f n) f))
n
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 n (/.f64 f (/.f64 n f)))
(-.f64 n (*.f64 (/.f64 f n) f))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 n (/.f64 f (/.f64 n f)))
(-.f64 n (*.f64 (/.f64 f n) f))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 n (/.f64 f (/.f64 n f)))
(-.f64 n (*.f64 (/.f64 f n) f))
(*.f64 -1 (/.f64 (pow.f64 f 2) n))
(/.f64 (neg.f64 (*.f64 f f)) n)
(/.f64 f (/.f64 n (neg.f64 f)))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 n (/.f64 f (/.f64 n f)))
(-.f64 n (*.f64 (/.f64 f n) f))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 n (/.f64 f (/.f64 n f)))
(-.f64 n (*.f64 (/.f64 f n) f))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 n (/.f64 f (/.f64 n f)))
(-.f64 n (*.f64 (/.f64 f n) f))
(*.f64 -1 (/.f64 (pow.f64 f 2) n))
(/.f64 (neg.f64 (*.f64 f f)) n)
(/.f64 f (/.f64 n (neg.f64 f)))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 n (/.f64 f (/.f64 n f)))
(-.f64 n (*.f64 (/.f64 f n) f))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 n (/.f64 f (/.f64 n f)))
(-.f64 n (*.f64 (/.f64 f n) f))
(+.f64 n (*.f64 -1 (/.f64 (pow.f64 f 2) n)))
(+.f64 n (/.f64 (neg.f64 (*.f64 f f)) n))
(-.f64 n (/.f64 f (/.f64 n f)))
(-.f64 n (*.f64 (/.f64 f n) f))

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (-.f64 n f) (*.f64 (-.f64 (/.f64 n f) 1) n))
0.1b
(*.f64 (-.f64 (/.f64 n f) 1) (-.f64 n f))
0.1b
(*.f64 (-.f64 (/.f64 n f) 1) n)
15.0b
(/.f64 (+.f64 (-.f64 n f) (*.f64 (-.f64 (/.f64 n f) 1) n)) (*.f64 (-.f64 (/.f64 n f) 1) (-.f64 n f)))
Compiler

Compiled 64 to 25 computations (60.9% saved)

series14.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

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

rewrite99.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
724×log-prod_binary64
630×fma-def_binary64
359×fma-neg_binary64
260×log-div_binary64
238×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01170
126066
2425266
Stop Event
node limit
Counts
4 → 215
Calls
Call 1
Inputs
(/.f64 (+.f64 (-.f64 n f) (*.f64 (-.f64 (/.f64 n f) 1) n)) (*.f64 (-.f64 (/.f64 n f) 1) (-.f64 n f)))
(*.f64 (-.f64 (/.f64 n f) 1) n)
(*.f64 (-.f64 (/.f64 n f) 1) (-.f64 n f))
(+.f64 (-.f64 n f) (*.f64 (-.f64 (/.f64 n f) 1) n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (+.f64 (/.f64 n f) -1)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (+.f64 (/.f64 n f) -1)) (-.f64 n f)))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (+.f64 (/.f64 n f) -1)) (-.f64 n f)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (+.f64 (/.f64 n f) -1)) (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (+.f64 (/.f64 n f) -1)) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n f) -1) (-.f64 n f)) (+.f64 (/.f64 n f) -1)) (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (fma.f64 n (+.f64 (/.f64 n 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) 2) (neg.f64 (-.f64 f (*.f64 n (+.f64 (/.f64 n f) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) 2) (fma.f64 -1 f (*.f64 n (+.f64 (/.f64 n f) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n) (neg.f64 (-.f64 f (*.f64 n (+.f64 (/.f64 n f) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n) (fma.f64 -1 f (*.f64 n (+.f64 (/.f64 n f) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (+.f64 (/.f64 n f) -1)) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 n f) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 n f) -1)) n) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (*.f64 n (+.f64 (/.f64 n f) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (cbrt.f64 (-.f64 n f)) (*.f64 n (+.f64 (/.f64 n f) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 n (+.f64 (/.f64 n f) -1))) (sqrt.f64 (*.f64 n (+.f64 (/.f64 n f) -1))) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 n) (sqrt.f64 n) (neg.f64 (-.f64 f (*.f64 n (+.f64 (/.f64 n f) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 n) (sqrt.f64 n) (fma.f64 -1 f (*.f64 n (+.f64 (/.f64 n f) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (+.f64 (/.f64 n f) -1)) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 n f) -1)) (*.f64 (sqrt.f64 (+.f64 (/.f64 n f) -1)) n) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (-.f64 n f)) (*.f64 n (+.f64 (/.f64 n f) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 1 (fma.f64 f (+.f64 n f) (*.f64 n n))) (*.f64 n (+.f64 (/.f64 n f) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (/.f64 1 (+.f64 n f)) (*.f64 n (+.f64 (/.f64 n f) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 n) (sqrt.f64 f)) (-.f64 (sqrt.f64 n) (sqrt.f64 f)) (*.f64 n (+.f64 (/.f64 n f) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 n (pow.f64 (cbrt.f64 (+.f64 (/.f64 n f) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 n f) -1)) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 n (sqrt.f64 (+.f64 (/.f64 n f) -1))) (sqrt.f64 (+.f64 (/.f64 n f) -1)) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (/.f64 n f) -1) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (/.f64 n f) -1) (sqrt.f64 n)) (sqrt.f64 n) (-.f64 n f))))))

simplify59.0ms (0.8%)

Algorithm
egg-herbie
Rules
755×fma-def_binary64
475×times-frac_binary64
403×associate-/l*_binary64
390×associate--l+_binary64
300×associate--r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01291586
14411347
218411142
Stop Event
node limit
Counts
311 → 262
Calls
Call 1
Inputs
-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 2 (/.f64 f n)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 f n)) 1)) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 f (-.f64 (*.f64 -1 (pow.f64 f 2)) (+.f64 (pow.f64 f 2) (*.f64 -4 (pow.f64 f 2)))))) (*.f64 2 (pow.f64 f 3))) (pow.f64 n 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 f n)) 1))) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 f n)) 1)) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 2 (/.f64 (*.f64 f (-.f64 (*.f64 -1 (pow.f64 f 2)) (+.f64 (pow.f64 f 2) (*.f64 -4 (pow.f64 f 2))))) (pow.f64 n 3))))))) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
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 (/.f64 n f) (*.f64 -1 (/.f64 n f))) (+.f64 1 (*.f64 2 (/.f64 n f))))
(-.f64 (+.f64 (/.f64 n f) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 n (-.f64 (+.f64 n (*.f64 -1 n)) (*.f64 2 n))) (pow.f64 f 2))) (*.f64 2 (/.f64 n f))))))
(-.f64 (+.f64 (/.f64 n f) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (+.f64 (*.f64 -1 (/.f64 n f)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 n (-.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 -2 (*.f64 n (-.f64 (+.f64 n (*.f64 -1 n)) (*.f64 2 n)))))))) (*.f64 (pow.f64 n 2) (-.f64 (+.f64 n (*.f64 -1 n)) (*.f64 2 n)))) (pow.f64 f 3)))))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 n (-.f64 (+.f64 n (*.f64 -1 n)) (*.f64 2 n))) (pow.f64 f 2))) (*.f64 2 (/.f64 n f))))))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 n (*.f64 -1 n))) (*.f64 -2 n)) f)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 n (*.f64 -1 n))) (*.f64 -2 n)) f))) (+.f64 (*.f64 2 (/.f64 (*.f64 n (-.f64 (*.f64 -1 (+.f64 n (*.f64 -1 n))) (*.f64 -2 n))) (pow.f64 f 2))) (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
(-.f64 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 (+.f64 n (*.f64 -1 n))) (*.f64 -2 n))) (pow.f64 f 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 n (*.f64 -1 n))) (*.f64 -2 n)) f)) (*.f64 2 (/.f64 (*.f64 n (-.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 2 (*.f64 n (-.f64 (*.f64 -1 (+.f64 n (*.f64 -1 n))) (*.f64 -2 n))))))) (pow.f64 f 3)))))) (+.f64 (*.f64 2 (/.f64 (*.f64 n (-.f64 (*.f64 -1 (+.f64 n (*.f64 -1 n))) (*.f64 -2 n))) (pow.f64 f 2))) (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
(*.f64 -1 n)
(+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))
(+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))
(+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))
(/.f64 (pow.f64 n 2) f)
(+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))
(+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))
(+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))
(/.f64 (pow.f64 n 2) f)
(+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))
(+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))
(+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))
(/.f64 (pow.f64 n 2) f)
(+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))
(+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))
(+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))
(*.f64 -1 n)
(+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))
(+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))
(+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))
(*.f64 -1 n)
(+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))
(+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))
(+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))
f
(+.f64 f (*.f64 -2 n))
(+.f64 f (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -2 n)))
(+.f64 f (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -2 n)))
(/.f64 (pow.f64 n 2) f)
(+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -2 n))
(+.f64 f (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -2 n)))
(+.f64 f (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -2 n)))
(/.f64 (pow.f64 n 2) f)
(+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -2 n))
(+.f64 f (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -2 n)))
(+.f64 f (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -2 n)))
(/.f64 (pow.f64 n 2) f)
(+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -2 n))
(+.f64 f (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -2 n)))
(+.f64 f (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -2 n)))
f
(+.f64 f (*.f64 -2 n))
(+.f64 f (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -2 n)))
(+.f64 f (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -2 n)))
f
(+.f64 f (*.f64 -2 n))
(+.f64 f (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -2 n)))
(+.f64 f (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -2 n)))
(*.f64 -1 f)
(+.f64 (*.f64 -1 f) (/.f64 (pow.f64 n 2) f))
(+.f64 (*.f64 -1 f) (/.f64 (pow.f64 n 2) f))
(+.f64 (*.f64 -1 f) (/.f64 (pow.f64 n 2) f))
(/.f64 (pow.f64 n 2) f)
(+.f64 (*.f64 -1 f) (/.f64 (pow.f64 n 2) f))
(+.f64 (*.f64 -1 f) (/.f64 (pow.f64 n 2) f))
(+.f64 (*.f64 -1 f) (/.f64 (pow.f64 n 2) f))
(/.f64 (pow.f64 n 2) f)
(+.f64 (*.f64 -1 f) (/.f64 (pow.f64 n 2) f))
(+.f64 (*.f64 -1 f) (/.f64 (pow.f64 n 2) f))
(+.f64 (*.f64 -1 f) (/.f64 (pow.f64 n 2) f))
(/.f64 (pow.f64 n 2) f)
(+.f64 n (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n)))
(+.f64 n (+.f64 (*.f64 -1 f) (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))))
(+.f64 n (+.f64 (*.f64 -1 f) (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))))
(*.f64 -1 f)
(+.f64 n (+.f64 (*.f64 -1 f) (*.f64 -1 n)))
(+.f64 n (+.f64 (*.f64 -1 f) (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))))
(+.f64 n (+.f64 (*.f64 -1 f) (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))))
(*.f64 -1 f)
(+.f64 n (+.f64 (*.f64 -1 f) (*.f64 -1 n)))
(+.f64 n (+.f64 (*.f64 -1 f) (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))))
(+.f64 n (+.f64 (*.f64 -1 f) (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))))
Outputs
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(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 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.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 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) (pow.f64 (/.f64 n f) 3)) -1)
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 f n)) 1)) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 f f) (*.f64 n n)) (fma.f64 2 (/.f64 f n) 1)) (*.f64 -3 (/.f64 (*.f64 f f) (*.f64 n n))))
(+.f64 (-.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 f (/.f64 (*.f64 n n) f))) (*.f64 3 (/.f64 f (/.f64 (*.f64 n n) f))))
(fma.f64 (/.f64 2 n) (/.f64 f (/.f64 n f)) (fma.f64 2 (/.f64 f n) 1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 f (-.f64 (*.f64 -1 (pow.f64 f 2)) (+.f64 (pow.f64 f 2) (*.f64 -4 (pow.f64 f 2)))))) (*.f64 2 (pow.f64 f 3))) (pow.f64 n 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 f n)) 1))) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 f (-.f64 (neg.f64 (*.f64 f f)) (*.f64 -3 (*.f64 f f)))) (*.f64 2 (pow.f64 f 3))) (pow.f64 n 3)) (fma.f64 -1 (/.f64 (*.f64 f f) (*.f64 n n)) (fma.f64 2 (/.f64 f n) 1))) (*.f64 -3 (/.f64 (*.f64 f f) (*.f64 n n))))
(+.f64 (-.f64 (-.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 f (/.f64 (*.f64 n n) f))) (/.f64 (fma.f64 -2 (*.f64 2 (pow.f64 f 3)) (*.f64 2 (pow.f64 f 3))) (pow.f64 n 3))) (*.f64 3 (/.f64 f (/.f64 (*.f64 n n) f))))
(fma.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (/.f64 f n)) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 f n)) 1)) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 f f) (*.f64 n n)) (fma.f64 2 (/.f64 f n) 1)) (*.f64 -3 (/.f64 (*.f64 f f) (*.f64 n n))))
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(+.f64 (*.f64 (/.f64 n f) n) (fma.f64 -2 n f))
f
(+.f64 f (*.f64 -2 n))
(fma.f64 -2 n f)
(+.f64 f (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -2 n)))
(+.f64 (+.f64 f (/.f64 (*.f64 n n) f)) (*.f64 -2 n))
(+.f64 (/.f64 (*.f64 n n) f) (fma.f64 -2 n f))
(+.f64 (*.f64 (/.f64 n f) n) (fma.f64 -2 n f))
(+.f64 f (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -2 n)))
(+.f64 (+.f64 f (/.f64 (*.f64 n n) f)) (*.f64 -2 n))
(+.f64 (/.f64 (*.f64 n n) f) (fma.f64 -2 n f))
(+.f64 (*.f64 (/.f64 n f) n) (fma.f64 -2 n f))
(*.f64 -1 f)
(neg.f64 f)
(+.f64 (*.f64 -1 f) (/.f64 (pow.f64 n 2) f))
(fma.f64 -1 f (/.f64 (*.f64 n n) f))
(-.f64 (/.f64 (*.f64 n n) f) f)
(-.f64 (*.f64 (/.f64 n f) n) f)
(+.f64 (*.f64 -1 f) (/.f64 (pow.f64 n 2) f))
(fma.f64 -1 f (/.f64 (*.f64 n n) f))
(-.f64 (/.f64 (*.f64 n n) f) f)
(-.f64 (*.f64 (/.f64 n f) n) f)
(+.f64 (*.f64 -1 f) (/.f64 (pow.f64 n 2) f))
(fma.f64 -1 f (/.f64 (*.f64 n n) f))
(-.f64 (/.f64 (*.f64 n n) f) f)
(-.f64 (*.f64 (/.f64 n f) n) f)
(/.f64 (pow.f64 n 2) f)
(/.f64 (*.f64 n n) f)
(*.f64 (/.f64 n f) n)
(+.f64 (*.f64 -1 f) (/.f64 (pow.f64 n 2) f))
(fma.f64 -1 f (/.f64 (*.f64 n n) f))
(-.f64 (/.f64 (*.f64 n n) f) f)
(-.f64 (*.f64 (/.f64 n f) n) f)
(+.f64 (*.f64 -1 f) (/.f64 (pow.f64 n 2) f))
(fma.f64 -1 f (/.f64 (*.f64 n n) f))
(-.f64 (/.f64 (*.f64 n n) f) f)
(-.f64 (*.f64 (/.f64 n f) n) f)
(+.f64 (*.f64 -1 f) (/.f64 (pow.f64 n 2) f))
(fma.f64 -1 f (/.f64 (*.f64 n n) f))
(-.f64 (/.f64 (*.f64 n n) f) f)
(-.f64 (*.f64 (/.f64 n f) n) f)
(/.f64 (pow.f64 n 2) f)
(/.f64 (*.f64 n n) f)
(*.f64 (/.f64 n f) n)
(+.f64 (*.f64 -1 f) (/.f64 (pow.f64 n 2) f))
(fma.f64 -1 f (/.f64 (*.f64 n n) f))
(-.f64 (/.f64 (*.f64 n n) f) f)
(-.f64 (*.f64 (/.f64 n f) n) f)
(+.f64 (*.f64 -1 f) (/.f64 (pow.f64 n 2) f))
(fma.f64 -1 f (/.f64 (*.f64 n n) f))
(-.f64 (/.f64 (*.f64 n n) f) f)
(-.f64 (*.f64 (/.f64 n f) n) f)
(+.f64 (*.f64 -1 f) (/.f64 (pow.f64 n 2) f))
(fma.f64 -1 f (/.f64 (*.f64 n n) f))
(-.f64 (/.f64 (*.f64 n n) f) f)
(-.f64 (*.f64 (/.f64 n f) n) f)
(/.f64 (pow.f64 n 2) f)
(/.f64 (*.f64 n n) f)
(*.f64 (/.f64 n f) n)
(+.f64 n (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n)))
(/.f64 (*.f64 n n) f)
(*.f64 (/.f64 n f) n)
(+.f64 n (+.f64 (*.f64 -1 f) (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))))
(fma.f64 -1 f (/.f64 (*.f64 n n) f))
(-.f64 (/.f64 (*.f64 n n) f) f)
(-.f64 (*.f64 (/.f64 n f) n) f)
(+.f64 n (+.f64 (*.f64 -1 f) (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))))
(fma.f64 -1 f (/.f64 (*.f64 n n) f))
(-.f64 (/.f64 (*.f64 n n) f) f)
(-.f64 (*.f64 (/.f64 n f) n) f)
(*.f64 -1 f)
(neg.f64 f)
(+.f64 n (+.f64 (*.f64 -1 f) (*.f64 -1 n)))
(neg.f64 f)
(+.f64 n (+.f64 (*.f64 -1 f) (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))))
(fma.f64 -1 f (/.f64 (*.f64 n n) f))
(-.f64 (/.f64 (*.f64 n n) f) f)
(-.f64 (*.f64 (/.f64 n f) n) f)
(+.f64 n (+.f64 (*.f64 -1 f) (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))))
(fma.f64 -1 f (/.f64 (*.f64 n n) f))
(-.f64 (/.f64 (*.f64 n n) f) f)
(-.f64 (*.f64 (/.f64 n f) n) f)
(*.f64 -1 f)
(neg.f64 f)
(+.f64 n (+.f64 (*.f64 -1 f) (*.f64 -1 n)))
(neg.f64 f)
(+.f64 n (+.f64 (*.f64 -1 f) (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))))
(fma.f64 -1 f (/.f64 (*.f64 n n) f))
(-.f64 (/.f64 (*.f64 n n) f) f)
(-.f64 (*.f64 (/.f64 n f) n) f)
(+.f64 n (+.f64 (*.f64 -1 f) (+.f64 (/.f64 (pow.f64 n 2) f) (*.f64 -1 n))))
(fma.f64 -1 f (/.f64 (*.f64 n n) f))
(-.f64 (/.f64 (*.f64 n n) f) f)
(-.f64 (*.f64 (/.f64 n f) n) f)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (-.f64 (/.f64 n f) 1) (*.f64 (-.f64 1 (/.f64 f n)) 1))
0.0b
(-.f64 1 (/.f64 f n))
0.0b
(*.f64 (-.f64 1 (/.f64 f n)) (-.f64 (/.f64 n f) 1))
16.9b
(/.f64 (+.f64 (-.f64 (/.f64 n f) 1) (*.f64 (-.f64 1 (/.f64 f n)) 1)) (*.f64 (-.f64 1 (/.f64 f n)) (-.f64 (/.f64 n f) 1)))
Compiler

Compiled 77 to 38 computations (50.6% saved)

series16.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
6.0ms
n
@inf
(*.f64 (-.f64 1 (/.f64 f n)) (-.f64 (/.f64 n f) 1))
2.0ms
f
@inf
(/.f64 (+.f64 (-.f64 (/.f64 n f) 1) (*.f64 (-.f64 1 (/.f64 f n)) 1)) (*.f64 (-.f64 1 (/.f64 f n)) (-.f64 (/.f64 n f) 1)))
1.0ms
f
@-inf
(/.f64 (+.f64 (-.f64 (/.f64 n f) 1) (*.f64 (-.f64 1 (/.f64 f n)) 1)) (*.f64 (-.f64 1 (/.f64 f n)) (-.f64 (/.f64 n f) 1)))
1.0ms
n
@-inf
(/.f64 (+.f64 (-.f64 (/.f64 n f) 1) (*.f64 (-.f64 1 (/.f64 f n)) 1)) (*.f64 (-.f64 1 (/.f64 f n)) (-.f64 (/.f64 n f) 1)))
1.0ms
n
@inf
(/.f64 (+.f64 (-.f64 (/.f64 n f) 1) (*.f64 (-.f64 1 (/.f64 f n)) 1)) (*.f64 (-.f64 1 (/.f64 f n)) (-.f64 (/.f64 n f) 1)))

rewrite118.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
703×log-prod_binary64
538×fma-def_binary64
348×fma-neg_binary64
315×log-div_binary64
235×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01273
128667
2419461
Stop Event
node limit
Counts
4 → 254
Calls
Call 1
Inputs
(/.f64 (+.f64 (-.f64 (/.f64 n f) 1) (*.f64 (-.f64 1 (/.f64 f n)) 1)) (*.f64 (-.f64 1 (/.f64 f n)) (-.f64 (/.f64 n f) 1)))
(*.f64 (-.f64 1 (/.f64 f n)) (-.f64 (/.f64 n f) 1))
(-.f64 1 (/.f64 f n))
(+.f64 (-.f64 (/.f64 n f) 1) (*.f64 (-.f64 1 (/.f64 f n)) 1))
Outputs
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(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 f n))) 2) (cbrt.f64 (-.f64 1 (/.f64 f n))) (+.f64 (/.f64 n f) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 n f) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 n f) -1)) 2) (-.f64 1 (/.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 n f) -1)) 2) (cbrt.f64 (+.f64 (/.f64 n f) -1)) (-.f64 1 (/.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 n f)) (pow.f64 (cbrt.f64 (/.f64 n f)) 2) (/.f64 (neg.f64 f) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 n f)) (pow.f64 (cbrt.f64 (/.f64 n f)) 2) (+.f64 -1 (-.f64 1 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 n f)) 2) (cbrt.f64 (/.f64 n f)) (/.f64 (neg.f64 f) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 n f)) 2) (cbrt.f64 (/.f64 n f)) (+.f64 -1 (-.f64 1 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 n f)) 2) (*.f64 (cbrt.f64 (/.f64 n f)) 1) (/.f64 (neg.f64 f) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 n f)) 2) (*.f64 (cbrt.f64 (/.f64 n f)) 1) (+.f64 -1 (-.f64 1 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (/.f64 1 f)) (/.f64 (neg.f64 f) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (/.f64 1 f)) (+.f64 -1 (-.f64 1 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 (/.f64 f n))) (sqrt.f64 (-.f64 1 (/.f64 f n))) (+.f64 (/.f64 n f) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 n f) -1)) (sqrt.f64 (+.f64 (/.f64 n f) -1)) (-.f64 1 (/.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 n f)) (sqrt.f64 (/.f64 n f)) (/.f64 (neg.f64 f) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 n f)) (sqrt.f64 (/.f64 n f)) (+.f64 -1 (-.f64 1 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 n f)) (*.f64 (sqrt.f64 (/.f64 n f)) 1) (/.f64 (neg.f64 f) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 n f)) (*.f64 (sqrt.f64 (/.f64 n f)) 1) (+.f64 -1 (-.f64 1 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 n) (/.f64 1 (neg.f64 f)) (/.f64 (neg.f64 f) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 n) (/.f64 1 (neg.f64 f)) (+.f64 -1 (-.f64 1 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (/.f64 n f) 3) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 n f) 2) (+.f64 (/.f64 n f) 1))) (-.f64 1 (/.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (/.f64 f n) 3)) (/.f64 1 (fma.f64 (/.f64 f n) (+.f64 1 (/.f64 f n)) 1)) (+.f64 (/.f64 n f) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 f) n (/.f64 (neg.f64 f) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 f) n (+.f64 -1 (-.f64 1 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (/.f64 n f) 2) -1) (/.f64 1 (+.f64 (/.f64 n f) 1)) (-.f64 1 (/.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (/.f64 f n) 2)) (/.f64 1 (+.f64 1 (/.f64 f n))) (+.f64 (/.f64 n f) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) f) (/.f64 (neg.f64 f) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) f) (+.f64 -1 (-.f64 1 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) f) (/.f64 (neg.f64 f) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) f) (+.f64 -1 (-.f64 1 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 n (cbrt.f64 f)) (/.f64 (neg.f64 f) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 n (cbrt.f64 f)) (+.f64 -1 (-.f64 1 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 n f)) (/.f64 (neg.f64 f) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 n f)) (+.f64 -1 (-.f64 1 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (sqrt.f64 n) (cbrt.f64 f)) (/.f64 (neg.f64 f) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (sqrt.f64 n) (cbrt.f64 f)) (+.f64 -1 (-.f64 1 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 n (sqrt.f64 f)) (/.f64 (neg.f64 f) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 n (sqrt.f64 f)) (+.f64 -1 (-.f64 1 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 f)) (/.f64 (cbrt.f64 n) (sqrt.f64 f)) (/.f64 (neg.f64 f) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 f)) (/.f64 (cbrt.f64 n) (sqrt.f64 f)) (+.f64 -1 (-.f64 1 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 f)) (neg.f64 n) (/.f64 (neg.f64 f) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 f)) (neg.f64 n) (+.f64 -1 (-.f64 1 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 n f)) 1) (-.f64 (sqrt.f64 (/.f64 n f)) 1) (-.f64 1 (/.f64 f n)))))))

simplify77.0ms (1%)

Algorithm
egg-herbie
Rules
538×fma-def_binary64
515×sub-neg_binary64
435×times-frac_binary64
372×div-sub_binary64
337×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0951314
13151176
212531008
367701008
Stop Event
node limit
Counts
350 → 292
Calls
Call 1
Inputs
-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 2 (/.f64 f n)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 f n)) 1)) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 f (-.f64 (*.f64 -1 (pow.f64 f 2)) (+.f64 (pow.f64 f 2) (*.f64 -4 (pow.f64 f 2)))))) (*.f64 2 (pow.f64 f 3))) (pow.f64 n 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 f n)) 1))) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 f n)) 1)) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 2 (/.f64 (*.f64 f (-.f64 (*.f64 -1 (pow.f64 f 2)) (+.f64 (pow.f64 f 2) (*.f64 -4 (pow.f64 f 2))))) (pow.f64 n 3))))))) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
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 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (*.f64 -2 (/.f64 n f))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
(-.f64 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 n (-.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 4 (pow.f64 n 2)))))) (*.f64 -2 (pow.f64 n 3))) (pow.f64 f 3))) (*.f64 -2 (/.f64 n f)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (*.f64 -2 (/.f64 n f))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 n (-.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 4 (pow.f64 n 2))))) (pow.f64 f 3))) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (+.f64 (*.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -2 (/.f64 n f))))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
(/.f64 n f)
(-.f64 (/.f64 n f) 2)
(-.f64 (+.f64 (/.f64 f n) (/.f64 n f)) 2)
(-.f64 (+.f64 (/.f64 f n) (/.f64 n f)) 2)
(/.f64 f n)
(-.f64 (/.f64 f n) 2)
(-.f64 (+.f64 (/.f64 n f) (/.f64 f n)) 2)
(-.f64 (+.f64 (/.f64 n f) (/.f64 f n)) 2)
(/.f64 f n)
(-.f64 (/.f64 f n) 2)
(-.f64 (+.f64 (/.f64 n f) (/.f64 f n)) 2)
(-.f64 (+.f64 (/.f64 n f) (/.f64 f n)) 2)
(/.f64 f n)
(-.f64 (/.f64 f n) 2)
(-.f64 (+.f64 (/.f64 n f) (/.f64 f n)) 2)
(-.f64 (+.f64 (/.f64 n f) (/.f64 f n)) 2)
(/.f64 n f)
(-.f64 (/.f64 n f) 2)
(-.f64 (+.f64 (/.f64 f n) (/.f64 n f)) 2)
(-.f64 (+.f64 (/.f64 f n) (/.f64 n f)) 2)
(/.f64 n f)
(-.f64 (/.f64 n f) 2)
(-.f64 (+.f64 (/.f64 f n) (/.f64 n f)) 2)
(-.f64 (+.f64 (/.f64 f n) (/.f64 n f)) 2)
1
(+.f64 1 (*.f64 -1 (/.f64 f n)))
(+.f64 1 (*.f64 -1 (/.f64 f n)))
(+.f64 1 (*.f64 -1 (/.f64 f n)))
(*.f64 -1 (/.f64 f n))
(+.f64 1 (*.f64 -1 (/.f64 f n)))
(+.f64 1 (*.f64 -1 (/.f64 f n)))
(+.f64 1 (*.f64 -1 (/.f64 f n)))
(*.f64 -1 (/.f64 f n))
(+.f64 1 (*.f64 -1 (/.f64 f n)))
(+.f64 1 (*.f64 -1 (/.f64 f n)))
(+.f64 1 (*.f64 -1 (/.f64 f n)))
(*.f64 -1 (/.f64 f n))
(+.f64 1 (*.f64 -1 (/.f64 f n)))
(+.f64 1 (*.f64 -1 (/.f64 f n)))
(+.f64 1 (*.f64 -1 (/.f64 f n)))
1
(+.f64 1 (*.f64 -1 (/.f64 f n)))
(+.f64 1 (*.f64 -1 (/.f64 f n)))
(+.f64 1 (*.f64 -1 (/.f64 f n)))
1
(+.f64 1 (*.f64 -1 (/.f64 f n)))
(+.f64 1 (*.f64 -1 (/.f64 f n)))
(+.f64 1 (*.f64 -1 (/.f64 f n)))
(*.f64 -1 (/.f64 f n))
(+.f64 (/.f64 n f) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 n f) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 n f) (*.f64 -1 (/.f64 f n)))
(/.f64 n f)
(+.f64 (/.f64 n f) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 n f) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 n f) (*.f64 -1 (/.f64 f n)))
(/.f64 n f)
(+.f64 (/.f64 n f) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 n f) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 n f) (*.f64 -1 (/.f64 f n)))
(/.f64 n f)
(+.f64 (/.f64 n f) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 n f) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 n f) (*.f64 -1 (/.f64 f n)))
(*.f64 -1 (/.f64 f n))
(+.f64 (/.f64 n f) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 n f) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 n f) (*.f64 -1 (/.f64 f n)))
(*.f64 -1 (/.f64 f n))
(+.f64 (/.f64 n f) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 n f) (*.f64 -1 (/.f64 f n)))
(+.f64 (/.f64 n f) (*.f64 -1 (/.f64 f n)))
Outputs
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(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 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 n f) 1) (/.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 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))) -1)
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 f n)) 1)) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 f f) (*.f64 n n)) (fma.f64 2 (/.f64 f n) 1)) (*.f64 -3 (/.f64 (*.f64 f f) (*.f64 n n))))
(+.f64 (-.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 f (/.f64 (*.f64 n n) f))) (*.f64 3 (/.f64 f (/.f64 (*.f64 n n) f))))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
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1
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eval925.0ms (12.4%)

Compiler

Compiled 25360 to 11982 computations (52.8% saved)

prune360.0ms (4.8%)

Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New8493852
Fresh112
Picked101
Done279
Total85311864
Error
0b
Counts
864 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
17.3b
(/.f64 (-.f64 (/.f64 n f) (/.f64 f n)) (*.f64 (-.f64 1 (/.f64 f n)) (-.f64 (/.f64 n f) 1)))
33.8b
(/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
32.7b
1
0.2b
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
31.9b
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
31.9b
(+.f64 (*.f64 2 (/.f64 f n)) 1)
32.7b
-1
32.0b
(/.f64 (neg.f64 f) (*.f64 (-.f64 (/.f64 n f) 1) (-.f64 n f)))
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
0.0b
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
61.9b
(*.f64 -2 (/.f64 n f))
Compiler

Compiled 116 to 72 computations (37.9% saved)

regimes82.0ms (1.1%)

Counts
23 → 1
Calls
Call 1
Inputs
-1
-1
1
-1
1
(*.f64 -2 (/.f64 n f))
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 (neg.f64 f) (*.f64 (-.f64 (/.f64 n f) 1) (-.f64 n f)))
(/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 (-.f64 (/.f64 n f) (/.f64 f n)) (*.f64 (-.f64 1 (/.f64 f n)) (-.f64 (/.f64 n f) 1)))
(/.f64 (+.f64 (-.f64 n f) (*.f64 (-.f64 1 (/.f64 f n)) f)) (*.f64 (-.f64 1 (/.f64 f n)) (-.f64 n f)))
(/.f64 (+.f64 (-.f64 n f) (*.f64 (-.f64 (/.f64 n f) 1) n)) (*.f64 (-.f64 (/.f64 n f) 1) (-.f64 n f)))
(/.f64 (+.f64 (-.f64 (/.f64 n f) 1) (*.f64 (-.f64 1 (/.f64 f n)) 1)) (*.f64 (-.f64 1 (/.f64 f n)) (-.f64 (/.f64 n f) 1)))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
Calls

4 calls:

31.0ms
f
25.0ms
n
8.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
7.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
ErrorSegmentsBranch
0.0b1f
0.0b1n
0.0b1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
0.0b1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 258 to 116 computations (55% saved)

regimes76.0ms (1%)

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

2 calls:

53.0ms
n
20.0ms
f
Results
ErrorSegmentsBranch
13.6b3f
13.8b3n
Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch61.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
2.4044147727263098e-51
1.1245732211532072e-50
45.0ms
-8.017600828854293e+115
-6.037815303445888e+113
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes46.0ms (0.6%)

Counts
7 → 3
Calls
Call 1
Inputs
-1
-1
1
-1
1
(*.f64 -2 (/.f64 n f))
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
Outputs
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
Calls

2 calls:

23.0ms
f
22.0ms
n
Results
ErrorSegmentsBranch
13.9b3f
14.2b3n
Compiler

Compiled 25 to 18 computations (28% saved)

bsearch36.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
2.4044147727263098e-51
1.1245732211532072e-50
20.0ms
-8.017600828854293e+115
-6.037815303445888e+113
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes53.0ms (0.7%)

Counts
6 → 3
Calls
Call 1
Inputs
-1
-1
1
-1
1
(*.f64 -2 (/.f64 n f))
Outputs
-1
1
-1
Calls

2 calls:

28.0ms
f
24.0ms
n
Results
ErrorSegmentsBranch
14.2b3f
14.8b3n
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch57.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
5.51047261192526e-56
2.054312223865149e-53
41.0ms
-8.017600828854293e+115
-6.037815303445888e+113
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
-1
-1
Outputs
-1
Calls

2 calls:

4.0ms
n
3.0ms
f
Results
ErrorSegmentsBranch
32.7b1f
32.7b1n
Compiler

Compiled 10 to 8 computations (20% saved)

simplify7.0ms (0.1%)

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
029101
139101
243101
345101
446101
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f -80176008288542929942277053594247622971864221262164866482624622137536211207425401484304043071989567878763659975983104) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 8102861754801305/3369993333393829974333376885877453834204643052817571560137951281152) (+.f64 (*.f64 2 (/.f64 f n)) 1) (-.f64 (*.f64 -2 (/.f64 n f)) 1)))
(if (<=.f64 f -80176008288542929942277053594247622971864221262164866482624622137536211207425401484304043071989567878763659975983104) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 8102861754801305/3369993333393829974333376885877453834204643052817571560137951281152) 1 (-.f64 (*.f64 -2 (/.f64 n f)) 1)))
(if (<=.f64 f -80176008288542929942277053594247622971864221262164866482624622137536211207425401484304043071989567878763659975983104) -1 (if (<=.f64 f 6085101474951139/110427941548649020598956093796432407239217743554726184882600387580788736) 1 -1))
-1
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f -80176008288542929942277053594247622971864221262164866482624622137536211207425401484304043071989567878763659975983104) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 8102861754801305/3369993333393829974333376885877453834204643052817571560137951281152) (+.f64 (*.f64 2 (/.f64 f n)) 1) (-.f64 (*.f64 -2 (/.f64 n f)) 1)))
(if (<=.f64 f -80176008288542929942277053594247622971864221262164866482624622137536211207425401484304043071989567878763659975983104) (+.f64 (*.f64 -2 (/.f64 n f)) -1) (if (<=.f64 f 8102861754801305/3369993333393829974333376885877453834204643052817571560137951281152) (+.f64 1 (*.f64 2 (/.f64 f n))) (+.f64 (*.f64 -2 (/.f64 n f)) -1)))
(if (<=.f64 f -80176008288542929942277053594247622971864221262164866482624622137536211207425401484304043071989567878763659975983104) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 8102861754801305/3369993333393829974333376885877453834204643052817571560137951281152) 1 (-.f64 (*.f64 -2 (/.f64 n f)) 1)))
(if (<=.f64 f -80176008288542929942277053594247622971864221262164866482624622137536211207425401484304043071989567878763659975983104) (+.f64 (*.f64 -2 (/.f64 n f)) -1) (if (<=.f64 f 8102861754801305/3369993333393829974333376885877453834204643052817571560137951281152) 1 (+.f64 (*.f64 -2 (/.f64 n f)) -1)))
(if (<=.f64 f -80176008288542929942277053594247622971864221262164866482624622137536211207425401484304043071989567878763659975983104) -1 (if (<=.f64 f 6085101474951139/110427941548649020598956093796432407239217743554726184882600387580788736) 1 -1))
-1
Compiler

Compiled 81 to 59 computations (27.2% saved)

soundness266.0ms (3.6%)

Algorithm
egg-herbie
Rules
694×fma-def_binary64
621×fma-neg_binary64
451×times-frac_binary64
308×div-sub_binary64
194×associate-/l*_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0712
11812
23812
38212
418212
533012
681810
7253310
8344610
9415410
10427510
11431810
12432810
13432810
Stop Event
saturated
Compiler

Compiled 150 to 98 computations (34.7% saved)

end47.0ms (0.6%)

Compiler

Compiled 73 to 50 computations (31.5% saved)

Profiling

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