Details

Time bar (total: 3.9s)

analyze113.0ms (2.9%)

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)

sample884.0ms (22.4%)

Results
851.0ms8256×body256valid

preprocess126.0ms (3.2%)

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)

simplify111.0ms (2.8%)

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)

localize7.0ms (0.2%)

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

rewrite81.0ms (2.1%)

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))))))))

simplify54.0ms (1.4%)

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))

eval48.0ms (1.2%)

Compiler

Compiled 845 to 389 computations (54% saved)

prune13.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New50757
Fresh000
Picked011
Done000
Total50858
Error
0b
Counts
58 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
0.0b
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
32.6b
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
31.0b
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
30.3b
(+.f64 (*.f64 2 (/.f64 f n)) 1)
30.9b
1
33.3b
-1
Compiler

Compiled 119 to 83 computations (30.3% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 27 to 8 computations (70.4% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
n
@inf
(/.f64 (-.f64 n f) (+.f64 f n))
1.0ms
n
@0
(/.f64 (-.f64 n f) (+.f64 f n))
0.0ms
n
@-inf
(/.f64 (-.f64 n f) (+.f64 f n))
0.0ms
f
@0
(/.f64 (-.f64 n f) (+.f64 f n))
0.0ms
f
@-inf
(/.f64 (-.f64 n f) (+.f64 f n))

rewrite130.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
974×prod-diff_binary64
601×unpow-prod-down_binary64
415×log-prod_binary64
321×fma-def_binary64
257×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
114710
2244610
Stop Event
node limit
Counts
1 → 257
Calls
Call 1
Inputs
(/.f64 (-.f64 n f) (+.f64 f n))
Outputs
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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 (+.f64 n f) (-.f64 n f)) -1)))) (#(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 (+.f64 n f) (-.f64 n f)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 n f) (neg.f64 (+.f64 n f))))))) (#(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 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 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 n (/.f64 1 (+.f64 n f)) (neg.f64 (/.f64 f (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 n (+.f64 n f)) (neg.f64 (/.f64 f (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) 2) (cbrt.f64 (/.f64 n (+.f64 n f))) (neg.f64 (/.f64 f (+.f64 n f))))))) (#(struct:change 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(pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 (sqrt.f64 n) (cbrt.f64 (+.f64 n f))) (neg.f64 (/.f64 f (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (+.f64 n f))) (/.f64 (cbrt.f64 n) (sqrt.f64 (+.f64 n f))) (neg.f64 (/.f64 f (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 n) (sqrt.f64 (+.f64 n f))) (/.f64 (sqrt.f64 n) (sqrt.f64 (+.f64 n f))) (neg.f64 (/.f64 f (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 n (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n (-.f64 n f) (*.f64 f f)) (neg.f64 (/.f64 f (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 n (-.f64 (*.f64 f f) (*.f64 n n))) (-.f64 f n) (neg.f64 (/.f64 f (+.f64 n f))))))))

simplify56.0ms (1.4%)

Algorithm
egg-herbie
Rules
481×fma-def_binary64
478×times-frac_binary64
348×div-sub_binary64
324×associate-/l*_binary64
293×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
081507
1273444
2927354
34414342
Stop Event
node limit
Counts
281 → 280
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 2) (pow.f64 f 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 f n))) (/.f64 f n))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (*.f64 -1 (/.f64 f n)))) (/.f64 f n))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (+.f64 (/.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 -1 f) f)) (pow.f64 n 3)) (*.f64 -1 (/.f64 f n))))) (/.f64 f n))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 f n))) (/.f64 f n))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (*.f64 -1 (/.f64 f n)))) (/.f64 f n))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (+.f64 (/.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 -1 f) f)) (pow.f64 n 3)) (*.f64 -1 (/.f64 f n))))) (/.f64 f n))
1
(+.f64 1 (*.f64 -2 (/.f64 f n)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 -2 (/.f64 f n))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 -2 (/.f64 f n)))))
-1
(-.f64 (/.f64 n f) (+.f64 1 (*.f64 -1 (/.f64 n f))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (/.f64 n f)) (+.f64 1 (*.f64 -1 (/.f64 n f))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (/.f64 n f) (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3)))) (+.f64 1 (*.f64 -1 (/.f64 n f))))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 n) n) f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3))) (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)))) 1)
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 (*.f64 -2 (*.f64 n n)) (*.f64 f f)) (fma.f64 2 (/.f64 n f) -1))
(fma.f64 -2 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 2 (/.f64 n f) -1))
(+.f64 -1 (*.f64 (/.f64 n f) (+.f64 2 (*.f64 (/.f64 n f) -2))))
(+.f64 -1 (*.f64 (-.f64 1 (/.f64 n f)) (*.f64 2 (/.f64 n f))))
(-.f64 (+.f64 (*.f64 -2 (/.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)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))) -1)
(fma.f64 -2 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1))
(+.f64 (*.f64 (/.f64 n f) (+.f64 2 (*.f64 (/.f64 n f) -2))) (fma.f64 2 (pow.f64 (/.f64 n f) 3) -1))
(+.f64 (*.f64 (-.f64 1 (/.f64 n f)) (*.f64 2 (/.f64 n f))) (fma.f64 2 (pow.f64 (/.f64 n f) 3) -1))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 f n))) (/.f64 f n))
(+.f64 1 (-.f64 (/.f64 (neg.f64 f) n) (/.f64 f n)))
(-.f64 (-.f64 1 (/.f64 f n)) (/.f64 f n))
(fma.f64 -2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (*.f64 -1 (/.f64 f n)))) (/.f64 f n))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 f (/.f64 (*.f64 n n) (-.f64 (neg.f64 f) f))) (/.f64 (neg.f64 f) n)) (/.f64 f n)))
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 f n) (*.f64 -2 (/.f64 f n)))) (/.f64 f n)) (/.f64 f n))
(fma.f64 2 (/.f64 (/.f64 (*.f64 f f) n) n) (fma.f64 -2 (/.f64 f n) 1))
(+.f64 1 (*.f64 (/.f64 f n) (-.f64 -2 (*.f64 f (/.f64 -2 n)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (+.f64 (/.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 -1 f) f)) (pow.f64 n 3)) (*.f64 -1 (/.f64 f n))))) (/.f64 f n))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 f (/.f64 (*.f64 n n) (-.f64 (neg.f64 f) f))) (+.f64 (/.f64 (neg.f64 f) n) (/.f64 (*.f64 f f) (/.f64 (pow.f64 n 3) (-.f64 (neg.f64 f) f))))) (/.f64 f n)))
(+.f64 (-.f64 (-.f64 (/.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (/.f64 f n)) (*.f64 (/.f64 f n) (*.f64 -2 (/.f64 f n)))) (-.f64 1 (/.f64 f n)))
(fma.f64 -2 (pow.f64 (/.f64 f n) 3) (fma.f64 2 (/.f64 (/.f64 (*.f64 f f) n) n) (fma.f64 -2 (/.f64 f n) 1)))
(+.f64 1 (fma.f64 -2 (pow.f64 (/.f64 f n) 3) (*.f64 (/.f64 f n) (-.f64 -2 (*.f64 f (/.f64 -2 n))))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 f n))) (/.f64 f n))
(+.f64 1 (-.f64 (/.f64 (neg.f64 f) n) (/.f64 f n)))
(-.f64 (-.f64 1 (/.f64 f n)) (/.f64 f n))
(fma.f64 -2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (*.f64 -1 (/.f64 f n)))) (/.f64 f n))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 f (/.f64 (*.f64 n n) (-.f64 (neg.f64 f) f))) (/.f64 (neg.f64 f) n)) (/.f64 f n)))
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 f n) (*.f64 -2 (/.f64 f n)))) (/.f64 f n)) (/.f64 f n))
(fma.f64 2 (/.f64 (/.f64 (*.f64 f f) n) n) (fma.f64 -2 (/.f64 f n) 1))
(+.f64 1 (*.f64 (/.f64 f n) (-.f64 -2 (*.f64 f (/.f64 -2 n)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (+.f64 (/.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 -1 f) f)) (pow.f64 n 3)) (*.f64 -1 (/.f64 f n))))) (/.f64 f n))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 f (/.f64 (*.f64 n n) (-.f64 (neg.f64 f) f))) (+.f64 (/.f64 (neg.f64 f) n) (/.f64 (*.f64 f f) (/.f64 (pow.f64 n 3) (-.f64 (neg.f64 f) f))))) (/.f64 f n)))
(+.f64 (-.f64 (-.f64 (/.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (/.f64 f n)) (*.f64 (/.f64 f n) (*.f64 -2 (/.f64 f n)))) (-.f64 1 (/.f64 f n)))
(fma.f64 -2 (pow.f64 (/.f64 f n) 3) (fma.f64 2 (/.f64 (/.f64 (*.f64 f f) n) n) (fma.f64 -2 (/.f64 f n) 1)))
(+.f64 1 (fma.f64 -2 (pow.f64 (/.f64 f n) 3) (*.f64 (/.f64 f n) (-.f64 -2 (*.f64 f (/.f64 -2 n))))))
1
(+.f64 1 (*.f64 -2 (/.f64 f n)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 f) n) (/.f64 f n)))
(-.f64 (-.f64 1 (/.f64 f n)) (/.f64 f n))
(fma.f64 -2 (/.f64 f n) 1)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 -2 (/.f64 f n))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 f (/.f64 (*.f64 n n) (-.f64 (neg.f64 f) f))) (/.f64 (neg.f64 f) n)) (/.f64 f n)))
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 f n) (*.f64 -2 (/.f64 f n)))) (/.f64 f n)) (/.f64 f n))
(fma.f64 2 (/.f64 (/.f64 (*.f64 f f) n) n) (fma.f64 -2 (/.f64 f n) 1))
(+.f64 1 (*.f64 (/.f64 f n) (-.f64 -2 (*.f64 f (/.f64 -2 n)))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 -2 (/.f64 f n)))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 f (/.f64 (*.f64 n n) (-.f64 (neg.f64 f) f))) (+.f64 (/.f64 (neg.f64 f) n) (/.f64 (*.f64 f f) (/.f64 (pow.f64 n 3) (-.f64 (neg.f64 f) f))))) (/.f64 f n)))
(+.f64 (-.f64 (-.f64 (/.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (/.f64 f n)) (*.f64 (/.f64 f n) (*.f64 -2 (/.f64 f n)))) (-.f64 1 (/.f64 f n)))
(fma.f64 -2 (pow.f64 (/.f64 f n) 3) (fma.f64 2 (/.f64 (/.f64 (*.f64 f f) n) n) (fma.f64 -2 (/.f64 f n) 1)))
(+.f64 1 (fma.f64 -2 (pow.f64 (/.f64 f n) 3) (*.f64 (/.f64 f n) (-.f64 -2 (*.f64 f (/.f64 -2 n))))))
-1
(-.f64 (/.f64 n f) (+.f64 1 (*.f64 -1 (/.f64 n f))))
(fma.f64 2 (/.f64 n f) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (/.f64 n f)) (+.f64 1 (*.f64 -1 (/.f64 n f))))
(+.f64 (/.f64 (*.f64 -2 (*.f64 n n)) (*.f64 f f)) (fma.f64 2 (/.f64 n f) -1))
(fma.f64 -2 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 2 (/.f64 n f) -1))
(+.f64 -1 (*.f64 (/.f64 n f) (+.f64 2 (*.f64 (/.f64 n f) -2))))
(+.f64 -1 (*.f64 (-.f64 1 (/.f64 n f)) (*.f64 2 (/.f64 n f))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (/.f64 n f) (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3)))) (+.f64 1 (*.f64 -1 (/.f64 n f))))
(+.f64 (fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))) -1)
(fma.f64 -2 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1))
(+.f64 (*.f64 (/.f64 n f) (+.f64 2 (*.f64 (/.f64 n f) -2))) (fma.f64 2 (pow.f64 (/.f64 n f) 3) -1))
(+.f64 (*.f64 (-.f64 1 (/.f64 n f)) (*.f64 2 (/.f64 n f))) (fma.f64 2 (pow.f64 (/.f64 n f) 3) -1))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 n) n) f)) 1)
(fma.f64 2 (/.f64 n f) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2))) 1)
(+.f64 (/.f64 (*.f64 -2 (*.f64 n n)) (*.f64 f f)) (fma.f64 2 (/.f64 n f) -1))
(fma.f64 -2 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 2 (/.f64 n f) -1))
(+.f64 -1 (*.f64 (/.f64 n f) (+.f64 2 (*.f64 (/.f64 n f) -2))))
(+.f64 -1 (*.f64 (-.f64 1 (/.f64 n f)) (*.f64 2 (/.f64 n f))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3))) (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))) -1)
(fma.f64 -2 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1))
(+.f64 (*.f64 (/.f64 n f) (+.f64 2 (*.f64 (/.f64 n f) -2))) (fma.f64 2 (pow.f64 (/.f64 n f) 3) -1))
(+.f64 (*.f64 (-.f64 1 (/.f64 n f)) (*.f64 2 (/.f64 n f))) (fma.f64 2 (pow.f64 (/.f64 n f) 3) -1))

localize8.0ms (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)

series6.0ms (0.2%)

Counts
2 → 15
Calls

12 calls:

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

rewrite102.0ms (2.6%)

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))))))))

simplify11.0ms (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

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 21 to 11 computations (47.6% saved)

series5.0ms (0.1%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
2.0ms
f
@0
(*.f64 -2 (/.f64 n f))
1.0ms
n
@0
(*.f64 -2 (/.f64 n f))
1.0ms
n
@inf
(*.f64 -2 (/.f64 n f))
1.0ms
f
@inf
(*.f64 -2 (/.f64 n f))
1.0ms
n
@-inf
(*.f64 -2 (/.f64 n f))

rewrite47.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
653×pow1_binary64
606×add-log-exp_binary64
606×log1p-expm1-u_binary64
606×expm1-log1p-u_binary64
594×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11277
216107
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 -2 (/.f64 n f))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (/.f64 n f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 f (*.f64 -2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 n) f)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -2 n)) (neg.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 n) 1) f)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 n) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 n) (sqrt.f64 f)) (sqrt.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) -2) (neg.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (neg.f64 n)) (neg.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 n f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (/.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (/.f64 n f))))))))

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
20 → 20
Calls
Call 1
Inputs
Outputs

localize11.0ms (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 f n))
Compiler

Compiled 25 to 10 computations (60% saved)

series5.0ms (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))
0.0ms
n
@-inf
(/.f64 1 (-.f64 n f))
0.0ms
f
@inf
(/.f64 1 (-.f64 n f))
0.0ms
f
@-inf
(/.f64 1 (-.f64 n f))

rewrite65.0ms (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 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simplify66.0ms (1.7%)

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))))

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 36 to 9 computations (75% saved)

eval208.0ms (5.3%)

Compiler

Compiled 16495 to 6180 computations (62.5% saved)

prune84.0ms (2.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New5633566
Fresh112
Picked101
Done235
Total5677574
Error
0b
Counts
574 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
30.9b
1
32.6b
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
0.0b
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
33.3b
-1
0.0b
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
30.3b
(+.f64 (*.f64 2 (/.f64 f n)) 1)
Compiler

Compiled 57 to 38 computations (33.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
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)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
n
@0
(+.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
n
@inf
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
0.0ms
f
@inf
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))

rewrite81.0ms (2%)

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
0723
117320
2304220
Stop Event
node limit
Counts
2 → 172
Calls
Call 1
Inputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 f (-.f64 n f))
Outputs
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simplify68.0ms (1.7%)

Algorithm
egg-herbie
Rules
571×times-frac_binary64
568×fma-def_binary64
455×sub-neg_binary64
378×div-sub_binary64
324×distribute-neg-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090979
1318920
21077732
35515723
Stop Event
node limit
Counts
220 → 215
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)))))
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 (+.f64 1 (/.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 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 f n)) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))) (/.f64 (neg.f64 f) n))
(+.f64 1 (+.f64 (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) (/.f64 f n)) (/.f64 f n)))
(+.f64 1 (*.f64 2 (*.f64 (/.f64 f n) (+.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)))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (+.f64 1 (/.f64 f n)) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))))) (/.f64 (neg.f64 f) n))
(+.f64 (/.f64 f n) (+.f64 (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) (/.f64 f n)) (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) 1)))
(+.f64 1 (*.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 f) f) n)))
(-.f64 (+.f64 1 (/.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 (/.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 1 (/.f64 f n)) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))) (/.f64 (neg.f64 f) n))
(+.f64 1 (+.f64 (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) (/.f64 f n)) (/.f64 f n)))
(+.f64 1 (*.f64 2 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n)))))
(-.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))))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (+.f64 1 (/.f64 f n)) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))))) (/.f64 (neg.f64 f) n))
(+.f64 (/.f64 f n) (+.f64 (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) (/.f64 f n)) (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) 1)))
(+.f64 1 (*.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (+.f64 1 (/.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 2 (/.f64 (*.f64 f f) (*.f64 n n)))) (/.f64 (neg.f64 f) n))
(+.f64 1 (+.f64 (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) (/.f64 f n)) (/.f64 f n)))
(+.f64 1 (*.f64 2 (*.f64 (/.f64 f n) (+.f64 1 (/.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 (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (+.f64 1 (/.f64 f n)) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))))) (/.f64 (neg.f64 f) n))
(+.f64 (/.f64 f n) (+.f64 (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) (/.f64 f n)) (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) 1)))
(+.f64 1 (*.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(-.f64 (-.f64 -1 (/.f64 n f)) (/.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 (fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (neg.f64 (/.f64 n f))) (+.f64 (/.f64 n f) 1))
(fma.f64 -2 (*.f64 (/.f64 n f) (/.f64 n f)) (-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f)))
(-.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 n f) (/.f64 n f)) -1) (/.f64 n f)) (/.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)))
(-.f64 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (neg.f64 (/.f64 n f)))) (+.f64 (/.f64 n f) 1))
(-.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 (/.f64 n f) 1))
(-.f64 (fma.f64 -2 (fma.f64 (/.f64 n f) (/.f64 n f) (pow.f64 (/.f64 n f) 3)) (-.f64 -1 (/.f64 n f))) (/.f64 n f))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.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 (fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 -2 (/.f64 n f))) (+.f64 1 (/.f64 (*.f64 n n) (*.f64 f f))))
(-.f64 (-.f64 (fma.f64 -2 (/.f64 n f) -1) (*.f64 (/.f64 n f) (/.f64 n f))) (*.f64 (/.f64 n f) (/.f64 n f)))
(-.f64 (*.f64 (/.f64 n f) (-.f64 -2 (/.f64 n f))) (fma.f64 (/.f64 n f) (/.f64 n f) 1))
(-.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 (fma.f64 -1 (/.f64 (-.f64 (pow.f64 n 3) (neg.f64 (pow.f64 n 3))) (pow.f64 f 3)) (fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 -2 (/.f64 n f)))) (+.f64 1 (/.f64 (*.f64 n n) (*.f64 f f))))
(fma.f64 -1 (/.f64 (*.f64 2 (pow.f64 n 3)) (pow.f64 f 3)) (-.f64 (-.f64 (fma.f64 -2 (/.f64 n f) -1) (*.f64 (/.f64 n f) (/.f64 n f))) (*.f64 (/.f64 n f) (/.f64 n f))))
(+.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 3)) (-.f64 (*.f64 (/.f64 n f) (-.f64 -2 (/.f64 n f))) (fma.f64 (/.f64 n f) (/.f64 n f) 1)))
(+.f64 (*.f64 (/.f64 n f) (-.f64 -2 (/.f64 n f))) (-.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 3)) (fma.f64 (/.f64 n f) (/.f64 n f) 1)))
(/.f64 f n)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 f n))
(+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n)))
(+.f64 (/.f64 f n) (*.f64 (/.f64 f n) (/.f64 f n)))
(*.f64 (/.f64 f n) (+.f64 1 (/.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 (*.f64 f f) (*.f64 n n)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 f n) (+.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))))
(+.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 (/.f64 (*.f64 f f) (*.f64 n n)) (+.f64 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 (pow.f64 f 4) (pow.f64 n 4))))
(+.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 (pow.f64 f 4) (pow.f64 n 4)))))
(+.f64 (pow.f64 (/.f64 f n) 3) (+.f64 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))) (/.f64 (pow.f64 f 4) (pow.f64 n 4))))
(+.f64 (pow.f64 (/.f64 f n) 3) (+.f64 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))) (pow.f64 (/.f64 f n) 4)))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(fma.f64 -1 (/.f64 n f) -1)
(-.f64 -1 (/.f64 n f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f))) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 n n) (*.f64 f f))) (fma.f64 -1 (/.f64 n f) -1))
(fma.f64 -1 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(-.f64 -1 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))
(-.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 (fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (fma.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (neg.f64 (/.f64 n f)))) -1)
(+.f64 -1 (-.f64 (-.f64 (/.f64 (neg.f64 n) f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 (/.f64 n f) (/.f64 n f))))
(+.f64 -1 (-.f64 (*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f))) (pow.f64 (/.f64 n f) 3)))
(-.f64 -1 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(fma.f64 -1 (/.f64 n f) -1)
(-.f64 -1 (/.f64 n f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f))) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 n n) (*.f64 f f))) (fma.f64 -1 (/.f64 n f) -1))
(fma.f64 -1 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(-.f64 -1 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))
(-.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 (fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (fma.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (neg.f64 (/.f64 n f)))) -1)
(+.f64 -1 (-.f64 (-.f64 (/.f64 (neg.f64 n) f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 (/.f64 n f) (/.f64 n f))))
(+.f64 -1 (-.f64 (*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f))) (pow.f64 (/.f64 n f) 3)))
(-.f64 -1 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(fma.f64 -1 (/.f64 n f) -1)
(-.f64 -1 (/.f64 n f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f))) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 n n) (*.f64 f f))) (fma.f64 -1 (/.f64 n f) -1))
(fma.f64 -1 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(-.f64 -1 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))
(-.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 (fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (fma.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (neg.f64 (/.f64 n f)))) -1)
(+.f64 -1 (-.f64 (-.f64 (/.f64 (neg.f64 n) f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 (/.f64 n f) (/.f64 n f))))
(+.f64 -1 (-.f64 (*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f))) (pow.f64 (/.f64 n f) 3)))
(-.f64 -1 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))))
(/.f64 f n)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 f n))
(+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n)))
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(*.f64 (/.f64 f n) (+.f64 1 (/.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 (*.f64 f f) (*.f64 n n)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 f n) (+.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))))
(+.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 (/.f64 (*.f64 f f) (*.f64 n n)) (+.f64 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 (pow.f64 f 4) (pow.f64 n 4))))
(+.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 (pow.f64 f 4) (pow.f64 n 4)))))
(+.f64 (pow.f64 (/.f64 f n) 3) (+.f64 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))) (/.f64 (pow.f64 f 4) (pow.f64 n 4))))
(+.f64 (pow.f64 (/.f64 f n) 3) (+.f64 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))) (pow.f64 (/.f64 f n) 4)))
(/.f64 f n)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 f n))
(+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n)))
(+.f64 (/.f64 f n) (*.f64 (/.f64 f n) (/.f64 f n)))
(*.f64 (/.f64 f n) (+.f64 1 (/.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 (*.f64 f f) (*.f64 n n)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 f n) (+.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))))
(+.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 (/.f64 (*.f64 f f) (*.f64 n n)) (+.f64 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 (pow.f64 f 4) (pow.f64 n 4))))
(+.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 (pow.f64 f 4) (pow.f64 n 4)))))
(+.f64 (pow.f64 (/.f64 f n) 3) (+.f64 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))) (/.f64 (pow.f64 f 4) (pow.f64 n 4))))
(+.f64 (pow.f64 (/.f64 f n) 3) (+.f64 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))) (pow.f64 (/.f64 f n) 4)))

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 27 to 8 computations (70.4% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite54.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
959×pow1_binary64
898×add-log-exp_binary64
898×log1p-expm1-u_binary64
898×expm1-log1p-u_binary64
78×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
114310
2230010
Stop Event
node limit
Counts
1 → 36
Calls
Call 1
Inputs
(/.f64 (-.f64 n f) (+.f64 n f))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 n (+.f64 n f)) (neg.f64 (/.f64 f (+.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 (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 1 (/.f64 (-.f64 n f) (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.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 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (*.f64 (cbrt.f64 (-.f64 n f)) (/.f64 1 (+.f64 n f))))))) (#(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 (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 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) 1) (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 n f)) 1) (/.f64 (sqrt.f64 (-.f64 n f)) (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 (sqrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 (cbrt.f64 (-.f64 n f)) 2) (sqrt.f64 (+.f64 n f))) (/.f64 (cbrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 n f) (-.f64 (*.f64 n n) (*.f64 f f))) (-.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 n f) (+.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 n f) (+.f64 n f)) 1)))) (#(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 (+.f64 n f) (-.f64 n f)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 n f) (neg.f64 (+.f64 n f))))))) (#(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 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 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))))))))

simplify55.0ms (1.4%)

Algorithm
egg-herbie
Rules
481×fma-def_binary64
478×times-frac_binary64
348×div-sub_binary64
324×associate-/l*_binary64
293×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
081507
1273444
2927354
34414342
Stop Event
node limit
Counts
60 → 59
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 2) (pow.f64 f 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 f n))) (/.f64 f n))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (*.f64 -1 (/.f64 f n)))) (/.f64 f n))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (+.f64 (/.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 -1 f) f)) (pow.f64 n 3)) (*.f64 -1 (/.f64 f n))))) (/.f64 f n))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 f n))) (/.f64 f n))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (*.f64 -1 (/.f64 f n)))) (/.f64 f n))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (+.f64 (/.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 -1 f) f)) (pow.f64 n 3)) (*.f64 -1 (/.f64 f n))))) (/.f64 f n))
1
(+.f64 1 (*.f64 -2 (/.f64 f n)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 -2 (/.f64 f n))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 -2 (/.f64 f n)))))
-1
(-.f64 (/.f64 n f) (+.f64 1 (*.f64 -1 (/.f64 n f))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (/.f64 n f)) (+.f64 1 (*.f64 -1 (/.f64 n f))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (/.f64 n f) (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3)))) (+.f64 1 (*.f64 -1 (/.f64 n f))))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 n) n) f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3))) (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)))) 1)
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 (*.f64 -2 (*.f64 n n)) (*.f64 f f)) (fma.f64 2 (/.f64 n f) -1))
(fma.f64 -2 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 2 (/.f64 n f) -1))
(+.f64 -1 (*.f64 (/.f64 n f) (+.f64 2 (*.f64 (/.f64 n f) -2))))
(+.f64 -1 (*.f64 (-.f64 1 (/.f64 n f)) (*.f64 2 (/.f64 n f))))
(-.f64 (+.f64 (*.f64 -2 (/.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)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))) -1)
(fma.f64 -2 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1))
(+.f64 (*.f64 (/.f64 n f) (+.f64 2 (*.f64 (/.f64 n f) -2))) (fma.f64 2 (pow.f64 (/.f64 n f) 3) -1))
(+.f64 (*.f64 (-.f64 1 (/.f64 n f)) (*.f64 2 (/.f64 n f))) (fma.f64 2 (pow.f64 (/.f64 n f) 3) -1))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 f n))) (/.f64 f n))
(+.f64 1 (-.f64 (/.f64 (neg.f64 f) n) (/.f64 f n)))
(-.f64 (-.f64 1 (/.f64 f n)) (/.f64 f n))
(fma.f64 -2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (*.f64 -1 (/.f64 f n)))) (/.f64 f n))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 f (/.f64 (*.f64 n n) (-.f64 (neg.f64 f) f))) (/.f64 (neg.f64 f) n)) (/.f64 f n)))
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 f n) (*.f64 -2 (/.f64 f n)))) (/.f64 f n)) (/.f64 f n))
(fma.f64 2 (/.f64 (/.f64 (*.f64 f f) n) n) (fma.f64 -2 (/.f64 f n) 1))
(+.f64 1 (*.f64 (/.f64 f n) (-.f64 -2 (*.f64 f (/.f64 -2 n)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (+.f64 (/.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 -1 f) f)) (pow.f64 n 3)) (*.f64 -1 (/.f64 f n))))) (/.f64 f n))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 f (/.f64 (*.f64 n n) (-.f64 (neg.f64 f) f))) (+.f64 (/.f64 (neg.f64 f) n) (/.f64 (*.f64 f f) (/.f64 (pow.f64 n 3) (-.f64 (neg.f64 f) f))))) (/.f64 f n)))
(+.f64 (-.f64 (-.f64 (/.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (/.f64 f n)) (*.f64 (/.f64 f n) (*.f64 -2 (/.f64 f n)))) (-.f64 1 (/.f64 f n)))
(fma.f64 -2 (pow.f64 (/.f64 f n) 3) (fma.f64 2 (/.f64 (/.f64 (*.f64 f f) n) n) (fma.f64 -2 (/.f64 f n) 1)))
(+.f64 1 (fma.f64 -2 (pow.f64 (/.f64 f n) 3) (*.f64 (/.f64 f n) (-.f64 -2 (*.f64 f (/.f64 -2 n))))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 f n))) (/.f64 f n))
(+.f64 1 (-.f64 (/.f64 (neg.f64 f) n) (/.f64 f n)))
(-.f64 (-.f64 1 (/.f64 f n)) (/.f64 f n))
(fma.f64 -2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (*.f64 -1 (/.f64 f n)))) (/.f64 f n))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 f (/.f64 (*.f64 n n) (-.f64 (neg.f64 f) f))) (/.f64 (neg.f64 f) n)) (/.f64 f n)))
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 f n) (*.f64 -2 (/.f64 f n)))) (/.f64 f n)) (/.f64 f n))
(fma.f64 2 (/.f64 (/.f64 (*.f64 f f) n) n) (fma.f64 -2 (/.f64 f n) 1))
(+.f64 1 (*.f64 (/.f64 f n) (-.f64 -2 (*.f64 f (/.f64 -2 n)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (+.f64 (/.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 -1 f) f)) (pow.f64 n 3)) (*.f64 -1 (/.f64 f n))))) (/.f64 f n))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 f (/.f64 (*.f64 n n) (-.f64 (neg.f64 f) f))) (+.f64 (/.f64 (neg.f64 f) n) (/.f64 (*.f64 f f) (/.f64 (pow.f64 n 3) (-.f64 (neg.f64 f) f))))) (/.f64 f n)))
(+.f64 (-.f64 (-.f64 (/.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (/.f64 f n)) (*.f64 (/.f64 f n) (*.f64 -2 (/.f64 f n)))) (-.f64 1 (/.f64 f n)))
(fma.f64 -2 (pow.f64 (/.f64 f n) 3) (fma.f64 2 (/.f64 (/.f64 (*.f64 f f) n) n) (fma.f64 -2 (/.f64 f n) 1)))
(+.f64 1 (fma.f64 -2 (pow.f64 (/.f64 f n) 3) (*.f64 (/.f64 f n) (-.f64 -2 (*.f64 f (/.f64 -2 n))))))
1
(+.f64 1 (*.f64 -2 (/.f64 f n)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 f) n) (/.f64 f n)))
(-.f64 (-.f64 1 (/.f64 f n)) (/.f64 f n))
(fma.f64 -2 (/.f64 f n) 1)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 -2 (/.f64 f n))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 f (/.f64 (*.f64 n n) (-.f64 (neg.f64 f) f))) (/.f64 (neg.f64 f) n)) (/.f64 f n)))
(-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 f n) (*.f64 -2 (/.f64 f n)))) (/.f64 f n)) (/.f64 f n))
(fma.f64 2 (/.f64 (/.f64 (*.f64 f f) n) n) (fma.f64 -2 (/.f64 f n) 1))
(+.f64 1 (*.f64 (/.f64 f n) (-.f64 -2 (*.f64 f (/.f64 -2 n)))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 -2 (/.f64 f n)))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 f (/.f64 (*.f64 n n) (-.f64 (neg.f64 f) f))) (+.f64 (/.f64 (neg.f64 f) n) (/.f64 (*.f64 f f) (/.f64 (pow.f64 n 3) (-.f64 (neg.f64 f) f))))) (/.f64 f n)))
(+.f64 (-.f64 (-.f64 (/.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (/.f64 f n)) (*.f64 (/.f64 f n) (*.f64 -2 (/.f64 f n)))) (-.f64 1 (/.f64 f n)))
(fma.f64 -2 (pow.f64 (/.f64 f n) 3) (fma.f64 2 (/.f64 (/.f64 (*.f64 f f) n) n) (fma.f64 -2 (/.f64 f n) 1)))
(+.f64 1 (fma.f64 -2 (pow.f64 (/.f64 f n) 3) (*.f64 (/.f64 f n) (-.f64 -2 (*.f64 f (/.f64 -2 n))))))
-1
(-.f64 (/.f64 n f) (+.f64 1 (*.f64 -1 (/.f64 n f))))
(fma.f64 2 (/.f64 n f) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (/.f64 n f)) (+.f64 1 (*.f64 -1 (/.f64 n f))))
(+.f64 (/.f64 (*.f64 -2 (*.f64 n n)) (*.f64 f f)) (fma.f64 2 (/.f64 n f) -1))
(fma.f64 -2 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 2 (/.f64 n f) -1))
(+.f64 -1 (*.f64 (/.f64 n f) (+.f64 2 (*.f64 (/.f64 n f) -2))))
(+.f64 -1 (*.f64 (-.f64 1 (/.f64 n f)) (*.f64 2 (/.f64 n f))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (/.f64 n f) (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3)))) (+.f64 1 (*.f64 -1 (/.f64 n f))))
(+.f64 (fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))) -1)
(fma.f64 -2 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1))
(+.f64 (*.f64 (/.f64 n f) (+.f64 2 (*.f64 (/.f64 n f) -2))) (fma.f64 2 (pow.f64 (/.f64 n f) 3) -1))
(+.f64 (*.f64 (-.f64 1 (/.f64 n f)) (*.f64 2 (/.f64 n f))) (fma.f64 2 (pow.f64 (/.f64 n f) 3) -1))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 n) n) f)) 1)
(fma.f64 2 (/.f64 n f) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2))) 1)
(+.f64 (/.f64 (*.f64 -2 (*.f64 n n)) (*.f64 f f)) (fma.f64 2 (/.f64 n f) -1))
(fma.f64 -2 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 2 (/.f64 n f) -1))
(+.f64 -1 (*.f64 (/.f64 n f) (+.f64 2 (*.f64 (/.f64 n f) -2))))
(+.f64 -1 (*.f64 (-.f64 1 (/.f64 n f)) (*.f64 2 (/.f64 n f))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3))) (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))) -1)
(fma.f64 -2 (*.f64 (/.f64 n f) (/.f64 n f)) (fma.f64 2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1))
(+.f64 (*.f64 (/.f64 n f) (+.f64 2 (*.f64 (/.f64 n f) -2))) (fma.f64 2 (pow.f64 (/.f64 n f) 3) -1))
(+.f64 (*.f64 (-.f64 1 (/.f64 n f)) (*.f64 2 (/.f64 n f))) (fma.f64 2 (pow.f64 (/.f64 n f) 3) -1))

eval114.0ms (2.9%)

Compiler

Compiled 5109 to 1944 computations (61.9% saved)

prune75.0ms (1.9%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New2731274
Fresh112
Picked011
Done044
Total2747281
Error
0b
Counts
281 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
30.9b
1
32.6b
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
0.0b
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
33.3b
-1
30.3b
(+.f64 (*.f64 2 (/.f64 f n)) 1)
0.0b
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
Compiler

Compiled 57 to 38 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done055
Total077
Error
0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
30.9b
1
32.6b
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
0.0b
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
33.3b
-1
30.3b
(+.f64 (*.f64 2 (/.f64 f n)) 1)
0.0b
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
Compiler

Compiled 57 to 38 computations (33.3% saved)

regimes43.0ms (1.1%)

Counts
13 → 1
Calls
Call 1
Inputs
-1
1
1
-1
(-.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 1 (/.f64 (-.f64 n f) (+.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
Outputs
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
Calls

4 calls:

16.0ms
n
15.0ms
f
5.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
3.0ms
(/.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 109 to 54 computations (50.5% saved)

regimes37.0ms (0.9%)

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

4 calls:

12.0ms
n
11.0ms
f
5.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
5.0ms
(/.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 61 to 38 computations (37.7% saved)

regimes87.0ms (2.2%)

Counts
6 → 7
Calls
Call 1
Inputs
-1
1
1
-1
(-.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)
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
Calls

2 calls:

46.0ms
f
38.0ms
n
Results
ErrorSegmentsBranch
12.5b7f
14.3b3n
Compiler

Compiled 26 to 20 computations (23.1% saved)

bsearch117.0ms (3%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
2.8981249617354097e+88
1.6936887788803597e+94
17.0ms
2.0533052250978192e+43
6.773491945533299e+43
19.0ms
88915901900.48116
1006593596268.8457
17.0ms
-2.774210647697208e-111
-8.991263922421303e-119
25.0ms
-7.193529628903227e-39
-3.5262019266666687e-41
19.0ms
-3.664987063890276e+99
-8.737562701421852e+90
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes114.0ms (2.9%)

Counts
5 → 7
Calls
Call 1
Inputs
-1
1
1
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
Outputs
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
Calls

2 calls:

85.0ms
n
27.0ms
f
Results
ErrorSegmentsBranch
12.8b7f
14.7b3n
Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch242.0ms (6.1%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
2.8981249617354097e+88
1.6936887788803597e+94
19.0ms
2.0533052250978192e+43
6.773491945533299e+43
17.0ms
88915901900.48116
1006593596268.8457
17.0ms
-2.774210647697208e-111
-8.991263922421303e-119
18.0ms
-7.193529628903227e-39
-3.5262019266666687e-41
152.0ms
-3.664987063890276e+99
-8.737562701421852e+90
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes42.0ms (1.1%)

Accuracy

Total -49.8b remaining (-377.4%)

Threshold costs -49.8b (-377.4%)

Counts
4 → 7
Calls
Call 1
Inputs
-1
1
1
-1
Outputs
-1
1
-1
1
-1
1
-1
Calls

2 calls:

24.0ms
f
16.0ms
n
Results
ErrorSegmentsBranch
13.2b7f
15.1b3n
Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch148.0ms (3.8%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
2.8981249617354097e+88
1.6936887788803597e+94
17.0ms
2.0533052250978192e+43
6.773491945533299e+43
57.0ms
88915901900.48116
1006593596268.8457
17.0ms
-2.774210647697208e-111
-8.991263922421303e-119
18.0ms
-7.193529628903227e-39
-3.5262019266666687e-41
19.0ms
-3.664987063890276e+99
-8.737562701421852e+90
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify12.0ms (0.3%)

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
050252
160252
264252
366252
467252
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f -3664987063890275899445440741777759629386383670971862659614120363699508760606172747539535493028904960) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f -689003254961303/95780971304118053647396689196894323976171195136475136) (+.f64 (*.f64 2 (/.f64 f n)) 1) (if (<=.f64 f -7511689246071607/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 5827192546949933/65536) (+.f64 (*.f64 2 (/.f64 f n)) 1) (if (<=.f64 f 20533052250978191504841975577060031481249792) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 28981249617354097065702623266420023306885048633133287590139162685073082695076034652405760) (+.f64 (*.f64 2 (/.f64 f n)) 1) (-.f64 (*.f64 -2 (/.f64 n f)) 1)))))))
(if (<=.f64 f -3664987063890275899445440741777759629386383670971862659614120363699508760606172747539535493028904960) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f -689003254961303/95780971304118053647396689196894323976171195136475136) 1 (if (<=.f64 f -7511689246071607/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 5827192546949933/65536) 1 (if (<=.f64 f 20533052250978191504841975577060031481249792) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 28981249617354097065702623266420023306885048633133287590139162685073082695076034652405760) 1 (-.f64 (*.f64 -2 (/.f64 n f)) 1)))))))
(if (<=.f64 f -3664987063890275899445440741777759629386383670971862659614120363699508760606172747539535493028904960) -1 (if (<=.f64 f -689003254961303/95780971304118053647396689196894323976171195136475136) 1 (if (<=.f64 f -7511689246071607/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) -1 (if (<=.f64 f 5827192546949933/65536) 1 (if (<=.f64 f 20533052250978191504841975577060031481249792) -1 (if (<=.f64 f 28981249617354097065702623266420023306885048633133287590139162685073082695076034652405760) 1 -1))))))
-1
Outputs
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 f -3664987063890275899445440741777759629386383670971862659614120363699508760606172747539535493028904960) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f -689003254961303/95780971304118053647396689196894323976171195136475136) (+.f64 (*.f64 2 (/.f64 f n)) 1) (if (<=.f64 f -7511689246071607/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 5827192546949933/65536) (+.f64 (*.f64 2 (/.f64 f n)) 1) (if (<=.f64 f 20533052250978191504841975577060031481249792) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 28981249617354097065702623266420023306885048633133287590139162685073082695076034652405760) (+.f64 (*.f64 2 (/.f64 f n)) 1) (-.f64 (*.f64 -2 (/.f64 n f)) 1)))))))
(if (<=.f64 f -3664987063890275899445440741777759629386383670971862659614120363699508760606172747539535493028904960) (+.f64 (*.f64 -2 (/.f64 n f)) -1) (if (<=.f64 f -689003254961303/95780971304118053647396689196894323976171195136475136) (+.f64 1 (*.f64 2 (/.f64 f n))) (if (<=.f64 f -7511689246071607/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (+.f64 (*.f64 -2 (/.f64 n f)) -1) (if (<=.f64 f 5827192546949933/65536) (+.f64 1 (*.f64 2 (/.f64 f n))) (if (<=.f64 f 20533052250978191504841975577060031481249792) (+.f64 (*.f64 -2 (/.f64 n f)) -1) (if (<=.f64 f 28981249617354097065702623266420023306885048633133287590139162685073082695076034652405760) (+.f64 1 (*.f64 2 (/.f64 f n))) (+.f64 (*.f64 -2 (/.f64 n f)) -1)))))))
(if (<=.f64 f -3664987063890275899445440741777759629386383670971862659614120363699508760606172747539535493028904960) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f -689003254961303/95780971304118053647396689196894323976171195136475136) 1 (if (<=.f64 f -7511689246071607/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 5827192546949933/65536) 1 (if (<=.f64 f 20533052250978191504841975577060031481249792) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 28981249617354097065702623266420023306885048633133287590139162685073082695076034652405760) 1 (-.f64 (*.f64 -2 (/.f64 n f)) 1)))))))
(if (<=.f64 f -3664987063890275899445440741777759629386383670971862659614120363699508760606172747539535493028904960) (+.f64 (*.f64 -2 (/.f64 n f)) -1) (if (<=.f64 f -689003254961303/95780971304118053647396689196894323976171195136475136) 1 (if (<=.f64 f -7511689246071607/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (+.f64 (*.f64 -2 (/.f64 n f)) -1) (if (<=.f64 f 5827192546949933/65536) 1 (if (<=.f64 f 20533052250978191504841975577060031481249792) (+.f64 (*.f64 -2 (/.f64 n f)) -1) (if (<=.f64 f 28981249617354097065702623266420023306885048633133287590139162685073082695076034652405760) 1 (+.f64 (*.f64 -2 (/.f64 n f)) -1)))))))
(if (<=.f64 f -3664987063890275899445440741777759629386383670971862659614120363699508760606172747539535493028904960) -1 (if (<=.f64 f -689003254961303/95780971304118053647396689196894323976171195136475136) 1 (if (<=.f64 f -7511689246071607/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) -1 (if (<=.f64 f 5827192546949933/65536) 1 (if (<=.f64 f 20533052250978191504841975577060031481249792) -1 (if (<=.f64 f 28981249617354097065702623266420023306885048633133287590139162685073082695076034652405760) 1 -1))))))
-1
Compiler

Compiled 188 to 132 computations (29.8% saved)

soundness268.0ms (6.8%)

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)

end81.0ms (2.1%)

Compiler

Compiled 178 to 119 computations (33.1% saved)

Profiling

Loading profile data...