Details

Time bar (total: 2.0s)

analyze48.0ms (2.3%)

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
25%74.9%0.1%4
37.5%62.4%0.1%5
62.4%37.5%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample868.0ms (42.5%)

Results
856.0ms8256×body128valid
Compiler

Compiled 22 to 14 computations (36.4% saved)

preprocess75.0ms (3.7%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 10 to 6 computations (40% saved)

simplify51.0ms (2.5%)

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

Useful iterations: 6 (0.0ms)

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

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Compiled 35 to 18 computations (48.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.3%)

Counts
1 → 24
Calls

6 calls:

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

rewrite39.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
884×log1p-expm1-u_binary64
884×expm1-log1p-u_binary64
79×add-sqr-sqrt_binary64
78×*-un-lft-identity_binary64
78×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
114410
2230710
Stop Event
node limit
Counts
1 → 35
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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))))))

simplify24.0ms (1.2%)

Algorithm
egg-herbie
Rules
822×associate-/l*_binary64
504×associate-/r*_binary64
384×associate-/r/_binary64
251×cancel-sign-sub-inv_binary64
194×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035426
1112393
2383342
31549324
Stop Event
node limit
Counts
59 → 49
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
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 n f))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 2 (/.f64 n f)))))
(neg.f64 (+.f64 1 (+.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
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 n f))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 2 (/.f64 n f)))))
(neg.f64 (+.f64 1 (+.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
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 n f))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 2 (/.f64 n f)))))
(neg.f64 (+.f64 1 (+.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 2 (/.f64 f n)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
1
(+.f64 (*.f64 2 (/.f64 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))))))
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 2 n) (+.f64 f (*.f64 (/.f64 f n) f))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(fma.f64 2 (+.f64 (/.f64 f n) (pow.f64 (/.f64 f n) 3)) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (*.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 n f))))
(+.f64 -1 (neg.f64 (*.f64 2 (/.f64 n f))))
(+.f64 -1 (*.f64 (/.f64 n f) -2))
(fma.f64 (/.f64 n f) -2 -1)
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 2 (/.f64 n f)))))
(+.f64 -1 (neg.f64 (*.f64 2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))))
(neg.f64 (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)
(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)
(neg.f64 (+.f64 1 (+.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))))))
(+.f64 -1 (neg.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))))))
(-.f64 -1 (*.f64 2 (+.f64 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(+.f64 -1 (*.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 n f))))
(+.f64 -1 (neg.f64 (*.f64 2 (/.f64 n f))))
(+.f64 -1 (*.f64 (/.f64 n f) -2))
(fma.f64 (/.f64 n f) -2 -1)
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 2 (/.f64 n f)))))
(+.f64 -1 (neg.f64 (*.f64 2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))))
(neg.f64 (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)
(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)
(neg.f64 (+.f64 1 (+.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))))))
(+.f64 -1 (neg.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))))))
(-.f64 -1 (*.f64 2 (+.f64 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(+.f64 -1 (*.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 n f))))
(+.f64 -1 (neg.f64 (*.f64 2 (/.f64 n f))))
(+.f64 -1 (*.f64 (/.f64 n f) -2))
(fma.f64 (/.f64 n f) -2 -1)
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 2 (/.f64 n f)))))
(+.f64 -1 (neg.f64 (*.f64 2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))))
(neg.f64 (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)
(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)
(neg.f64 (+.f64 1 (+.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))))))
(+.f64 -1 (neg.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))))))
(-.f64 -1 (*.f64 2 (+.f64 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(+.f64 -1 (*.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (*.f64 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 2 n) (+.f64 f (*.f64 (/.f64 f n) f))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(fma.f64 2 (+.f64 (/.f64 f n) (pow.f64 (/.f64 f n) 3)) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (*.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))))
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 2 n) (+.f64 f (*.f64 (/.f64 f n) f))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(fma.f64 2 (+.f64 (/.f64 f n) (pow.f64 (/.f64 f n) 3)) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (*.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))))

prune33.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New46349
Fresh000
Picked101
Done000
Total47350
Error
0.0b
Counts
50 → 3
Alt Table
StatusErrorProgram
0.0b
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
29.6b
(fma.f64 2 (/.f64 f n) 1)
33.6b
(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)
Compiler

Compiled 705 to 300 computations (57.4% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
0.0b
(/.f64 (-.f64 n f) (+.f64 f n))

series16.0ms (0.8%)

Counts
2 → 48
Calls

12 calls:

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

rewrite109.0ms (5.3%)

Algorithm
batch-egg-rewrite
Rules
974×prod-diff_binary64
233×egg-rr
171×log1p-udef_binary64
100×add-sqr-sqrt_binary64
97×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
118920
2289220
Stop Event
node limit
Counts
2 → 280
Calls
Call 1
Inputs
(/.f64 (-.f64 n f) (+.f64 f n))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
Outputs
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simplify45.0ms (2.2%)

Algorithm
egg-herbie
Rules
759×cancel-sign-sub-inv_binary64
468×fma-neg_binary64
269×distribute-neg-frac_binary64
247×distribute-rgt-neg-in_binary64
243×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044852
1154792
2522702
32042651
Stop Event
node limit
Counts
328 → 306
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 2 (/.f64 n f)) 1)
(-.f64 (*.f64 2 (/.f64 n f)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 2 (/.f64 n f))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))))
1
(-.f64 1 (*.f64 2 (/.f64 f n)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))) (*.f64 2 (/.f64 f n)))
(-.f64 (+.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 2 (/.f64 f n))))
1
(-.f64 1 (*.f64 2 (/.f64 f n)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))) (*.f64 2 (/.f64 f n)))
(-.f64 (+.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 2 (/.f64 f n))))
1
(-.f64 1 (*.f64 2 (/.f64 f n)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))) (*.f64 2 (/.f64 f n)))
(-.f64 (+.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 2 (/.f64 f n))))
-1
(-.f64 (*.f64 2 (/.f64 n f)) 1)
(-.f64 (*.f64 2 (/.f64 n f)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 2 (/.f64 n f))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))))
-1
(-.f64 (*.f64 2 (/.f64 n f)) 1)
(-.f64 (*.f64 2 (/.f64 n f)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 2 (/.f64 n f))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 n f))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 2 (/.f64 n f)))))
(neg.f64 (+.f64 1 (+.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 2 (/.f64 f n)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
1
(+.f64 (*.f64 2 (/.f64 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
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 n f))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 2 (/.f64 n f)))))
(neg.f64 (+.f64 1 (+.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
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 n f))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 2 (/.f64 n f)))))
(neg.f64 (+.f64 1 (+.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))))))
Outputs
-1
(-.f64 (*.f64 2 (/.f64 n f)) 1)
(fma.f64 2 (/.f64 n f) -1)
(-.f64 (*.f64 2 (/.f64 n f)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))))
(-.f64 (fma.f64 2 (/.f64 n f) -1) (*.f64 2 (/.f64 (*.f64 n n) (*.f64 f f))))
(+.f64 (fma.f64 2 (/.f64 n f) -1) (*.f64 -2 (*.f64 (/.f64 n f) (/.f64 n f))))
(+.f64 -1 (*.f64 2 (-.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))))
(+.f64 -1 (*.f64 (/.f64 2 f) (-.f64 n (/.f64 n (/.f64 f n)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 2 (/.f64 n f))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))))
(-.f64 (*.f64 2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f))) (+.f64 1 (*.f64 2 (/.f64 (*.f64 n n) (*.f64 f f)))))
(-.f64 (*.f64 2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 2 (*.f64 (/.f64 n f) (/.f64 n f)) 1))
(+.f64 (*.f64 2 (-.f64 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) -1)
(fma.f64 2 (pow.f64 (/.f64 n f) 3) (+.f64 -1 (*.f64 (/.f64 2 f) (-.f64 n (/.f64 n (/.f64 f n))))))
1
(-.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 -2 (/.f64 f n)))
(+.f64 1 (*.f64 (/.f64 f n) -2))
(fma.f64 (/.f64 f n) -2 1)
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))) (*.f64 2 (/.f64 f n)))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))) (*.f64 2 (/.f64 f n))))
(+.f64 1 (*.f64 2 (-.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (/.f64 f n))))
(fma.f64 2 (-.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (/.f64 f n)) 1)
(fma.f64 2 (*.f64 (/.f64 f n) (+.f64 (/.f64 f n) -1)) 1)
(-.f64 (+.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 2 (/.f64 f n))))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))) (*.f64 2 (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 f n))))
(+.f64 1 (*.f64 2 (-.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(fma.f64 2 (-.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (+.f64 (/.f64 f n) (pow.f64 (/.f64 f n) 3))) 1)
(fma.f64 2 (-.f64 (*.f64 (/.f64 f n) (+.f64 (/.f64 f n) -1)) (pow.f64 (/.f64 f n) 3)) 1)
1
(-.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 -2 (/.f64 f n)))
(+.f64 1 (*.f64 (/.f64 f n) -2))
(fma.f64 (/.f64 f n) -2 1)
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))) (*.f64 2 (/.f64 f n)))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))) (*.f64 2 (/.f64 f n))))
(+.f64 1 (*.f64 2 (-.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (/.f64 f n))))
(fma.f64 2 (-.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (/.f64 f n)) 1)
(fma.f64 2 (*.f64 (/.f64 f n) (+.f64 (/.f64 f n) -1)) 1)
(-.f64 (+.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 2 (/.f64 f n))))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))) (*.f64 2 (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 f n))))
(+.f64 1 (*.f64 2 (-.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(fma.f64 2 (-.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (+.f64 (/.f64 f n) (pow.f64 (/.f64 f n) 3))) 1)
(fma.f64 2 (-.f64 (*.f64 (/.f64 f n) (+.f64 (/.f64 f n) -1)) (pow.f64 (/.f64 f n) 3)) 1)
1
(-.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (*.f64 -2 (/.f64 f n)))
(+.f64 1 (*.f64 (/.f64 f n) -2))
(fma.f64 (/.f64 f n) -2 1)
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))) (*.f64 2 (/.f64 f n)))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))) (*.f64 2 (/.f64 f n))))
(+.f64 1 (*.f64 2 (-.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (/.f64 f n))))
(fma.f64 2 (-.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (/.f64 f n)) 1)
(fma.f64 2 (*.f64 (/.f64 f n) (+.f64 (/.f64 f n) -1)) 1)
(-.f64 (+.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 2 (/.f64 f n))))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))) (*.f64 2 (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 f n))))
(+.f64 1 (*.f64 2 (-.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(fma.f64 2 (-.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (+.f64 (/.f64 f n) (pow.f64 (/.f64 f n) 3))) 1)
(fma.f64 2 (-.f64 (*.f64 (/.f64 f n) (+.f64 (/.f64 f n) -1)) (pow.f64 (/.f64 f n) 3)) 1)
-1
(-.f64 (*.f64 2 (/.f64 n f)) 1)
(fma.f64 2 (/.f64 n f) -1)
(-.f64 (*.f64 2 (/.f64 n f)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))))
(-.f64 (fma.f64 2 (/.f64 n f) -1) (*.f64 2 (/.f64 (*.f64 n n) (*.f64 f f))))
(+.f64 (fma.f64 2 (/.f64 n f) -1) (*.f64 -2 (*.f64 (/.f64 n f) (/.f64 n f))))
(+.f64 -1 (*.f64 2 (-.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))))
(+.f64 -1 (*.f64 (/.f64 2 f) (-.f64 n (/.f64 n (/.f64 f n)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 2 (/.f64 n f))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))))
(-.f64 (*.f64 2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f))) (+.f64 1 (*.f64 2 (/.f64 (*.f64 n n) (*.f64 f f)))))
(-.f64 (*.f64 2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 2 (*.f64 (/.f64 n f) (/.f64 n f)) 1))
(+.f64 (*.f64 2 (-.f64 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) -1)
(fma.f64 2 (pow.f64 (/.f64 n f) 3) (+.f64 -1 (*.f64 (/.f64 2 f) (-.f64 n (/.f64 n (/.f64 f n))))))
-1
(-.f64 (*.f64 2 (/.f64 n f)) 1)
(fma.f64 2 (/.f64 n f) -1)
(-.f64 (*.f64 2 (/.f64 n f)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))))
(-.f64 (fma.f64 2 (/.f64 n f) -1) (*.f64 2 (/.f64 (*.f64 n n) (*.f64 f f))))
(+.f64 (fma.f64 2 (/.f64 n f) -1) (*.f64 -2 (*.f64 (/.f64 n f) (/.f64 n f))))
(+.f64 -1 (*.f64 2 (-.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))))
(+.f64 -1 (*.f64 (/.f64 2 f) (-.f64 n (/.f64 n (/.f64 f n)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 2 (/.f64 n f))) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))))
(-.f64 (*.f64 2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f))) (+.f64 1 (*.f64 2 (/.f64 (*.f64 n n) (*.f64 f f)))))
(-.f64 (*.f64 2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 2 (*.f64 (/.f64 n f) (/.f64 n f)) 1))
(+.f64 (*.f64 2 (-.f64 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) -1)
(fma.f64 2 (pow.f64 (/.f64 n f) 3) (+.f64 -1 (*.f64 (/.f64 2 f) (-.f64 n (/.f64 n (/.f64 f n))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 n f))))
(+.f64 -1 (neg.f64 (*.f64 2 (/.f64 n f))))
(+.f64 -1 (*.f64 (/.f64 n f) -2))
(fma.f64 (/.f64 n f) -2 -1)
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 2 (/.f64 n f)))))
(+.f64 -1 (neg.f64 (*.f64 2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))))
(neg.f64 (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)
(neg.f64 (+.f64 1 (+.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))))))
(+.f64 -1 (neg.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))))))
(-.f64 -1 (*.f64 2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))))))
(+.f64 -1 (*.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (*.f64 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))
(fma.f64 2 (/.f64 f n) (fma.f64 (/.f64 2 n) (/.f64 f (/.f64 n f)) 1))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))))
(fma.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(fma.f64 2 (+.f64 (/.f64 f n) (pow.f64 (/.f64 f n) 3)) (fma.f64 (/.f64 2 n) (/.f64 f (/.f64 n f)) 1))
(+.f64 1 (*.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))))
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))
(fma.f64 2 (/.f64 f n) (fma.f64 (/.f64 2 n) (/.f64 f (/.f64 n f)) 1))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))))
(fma.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(fma.f64 2 (+.f64 (/.f64 f n) (pow.f64 (/.f64 f n) 3)) (fma.f64 (/.f64 2 n) (/.f64 f (/.f64 n f)) 1))
(+.f64 1 (*.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))))
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))
(fma.f64 2 (/.f64 f n) (fma.f64 (/.f64 2 n) (/.f64 f (/.f64 n f)) 1))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))))
(fma.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(fma.f64 2 (+.f64 (/.f64 f n) (pow.f64 (/.f64 f n) 3)) (fma.f64 (/.f64 2 n) (/.f64 f (/.f64 n f)) 1))
(+.f64 1 (*.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 n f))))
(+.f64 -1 (neg.f64 (*.f64 2 (/.f64 n f))))
(+.f64 -1 (*.f64 (/.f64 n f) -2))
(fma.f64 (/.f64 n f) -2 -1)
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 2 (/.f64 n f)))))
(+.f64 -1 (neg.f64 (*.f64 2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))))
(neg.f64 (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)
(neg.f64 (+.f64 1 (+.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))))))
(+.f64 -1 (neg.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))))))
(-.f64 -1 (*.f64 2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))))))
(+.f64 -1 (*.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 n f))))
(+.f64 -1 (neg.f64 (*.f64 2 (/.f64 n f))))
(+.f64 -1 (*.f64 (/.f64 n f) -2))
(fma.f64 (/.f64 n f) -2 -1)
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 2 (/.f64 n f)))))
(+.f64 -1 (neg.f64 (*.f64 2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))))
(neg.f64 (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)
(neg.f64 (+.f64 1 (+.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))))))
(+.f64 -1 (neg.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))))))
(-.f64 -1 (*.f64 2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))))))
(+.f64 -1 (*.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)

prune188.0ms (9.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3051306
Fresh022
Picked101
Done000
Total3063309
Error
0b
Counts
309 → 3
Alt Table
StatusErrorProgram
0.1b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (cbrt.f64 (+.f64 n f)) (cbrt.f64 (-.f64 n f))))
29.6b
(fma.f64 2 (/.f64 f n) 1)
33.6b
(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)
Compiler

Compiled 13247 to 3890 computations (70.6% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (cbrt.f64 (-.f64 n f)) 2)
0.5b
(pow.f64 (cbrt.f64 (+.f64 n f)) 2)
0.6b
(cbrt.f64 (-.f64 n f))
0.6b
(cbrt.f64 (+.f64 n f))

series110.0ms (5.4%)

Counts
4 → 32
Calls

24 calls:

TimeVariablePointExpression
21.0ms
n
@0
(pow.f64 (cbrt.f64 (-.f64 n f)) 2)
19.0ms
n
@-inf
(pow.f64 (cbrt.f64 (-.f64 n f)) 2)
17.0ms
n
@0
(cbrt.f64 (-.f64 n f))
8.0ms
n
@-inf
(cbrt.f64 (-.f64 n f))
5.0ms
f
@0
(pow.f64 (cbrt.f64 (+.f64 n f)) 2)

rewrite48.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
534×prod-diff_binary64
427×log-prod_binary64
252×fma-def_binary64
170×expm1-udef_binary64
170×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01030
121530
2262630
Stop Event
node limit
Counts
4 → 98
Calls
Call 1
Inputs
(cbrt.f64 (+.f64 n f))
(cbrt.f64 (-.f64 n f))
(pow.f64 (cbrt.f64 (+.f64 n f)) 2)
(pow.f64 (cbrt.f64 (-.f64 n f)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 n f)))) (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 n f)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 n f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 n f))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 n f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 n f))) 2) (cbrt.f64 (cbrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 n f) 1/6) (pow.f64 (+.f64 n f) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 n f))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 n f)) 1/3) (pow.f64 (sqrt.f64 (+.f64 n f)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (*.f64 n n) (*.f64 f f))) (cbrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (cbrt.f64 (fma.f64 f (-.f64 f n) (*.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 n f) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 n f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 n f) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 n f)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 n f))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 n f)))) (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 n f)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 n f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) 2) (cbrt.f64 (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 n f) 1/6) (pow.f64 (-.f64 n f) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 n f)) 1/3) (pow.f64 (sqrt.f64 (-.f64 n f)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (*.f64 n n) (*.f64 f f))) (cbrt.f64 (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (cbrt.f64 (fma.f64 f (+.f64 n f) (*.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 n f) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 n f) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 n f)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 n f))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (+.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 n f)) (cbrt.f64 (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 n f))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 n f))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 n f))) (cbrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 n f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 n f) 1/6) (*.f64 (pow.f64 (+.f64 n f) 1/6) (cbrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 n f)) (pow.f64 (+.f64 n f) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 n f)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 n f))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 n f) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (+.f64 n f))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 n f)) (pow.f64 (-.f64 n f) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 n f) 1/6) (*.f64 (pow.f64 (-.f64 n f) 1/6) (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 n f) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (-.f64 n f))) 1))))))

simplify35.0ms (1.7%)

Algorithm
egg-herbie
Rules
767×associate-*l*_binary64
675×fma-def_binary64
351×cancel-sign-sub-inv_binary64
178×distribute-rgt-neg-in_binary64
174×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01331496
14271486
214611451
Stop Event
node limit
Counts
130 → 158
Calls
Call 1
Inputs
(pow.f64 f 1/3)
(+.f64 (*.f64 1/3 (*.f64 n (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/9))) (pow.f64 f 1/3))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 n (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/9))) (pow.f64 f 1/3)) (*.f64 1/9 (*.f64 (pow.f64 n 2) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/9))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 n (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/9))) (+.f64 (pow.f64 f 1/3) (*.f64 5/81 (*.f64 (pow.f64 n 3) (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/3))))) (*.f64 1/9 (*.f64 (pow.f64 n 2) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/9))))
(pow.f64 n 1/3)
(+.f64 (*.f64 1/3 (*.f64 f (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9))) (pow.f64 n 1/3))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 f (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9))) (pow.f64 n 1/3)) (*.f64 1/9 (*.f64 (pow.f64 f 2) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/9))))
(-.f64 (+.f64 (*.f64 5/81 (*.f64 (pow.f64 f 3) (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 f (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9))) (pow.f64 n 1/3))) (*.f64 1/9 (*.f64 (pow.f64 f 2) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/9))))
(*.f64 (pow.f64 f 1/3) (cbrt.f64 -1))
(+.f64 (*.f64 (pow.f64 f 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 n (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))))
(-.f64 (+.f64 (*.f64 (pow.f64 f 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 n (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))) (*.f64 1/9 (*.f64 (pow.f64 n 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3)))))
(-.f64 (+.f64 (*.f64 (pow.f64 f 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 5/81 (*.f64 (/.f64 (pow.f64 n 3) (pow.f64 (cbrt.f64 -1) 4)) (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/3))) (*.f64 1/3 (*.f64 n (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))))) (*.f64 1/9 (*.f64 (pow.f64 n 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3)))))
(pow.f64 n 1/3)
(-.f64 (pow.f64 n 1/3) (*.f64 1/3 (*.f64 f (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9))))
(-.f64 (pow.f64 n 1/3) (+.f64 (*.f64 1/3 (*.f64 f (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9))) (*.f64 1/9 (*.f64 (pow.f64 f 2) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/9)))))
(-.f64 (pow.f64 n 1/3) (+.f64 (*.f64 5/81 (*.f64 (pow.f64 f 3) (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 f (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9))) (*.f64 1/9 (*.f64 (pow.f64 f 2) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/9))))))
(pow.f64 (pow.f64 f 2) 1/3)
(+.f64 (pow.f64 (pow.f64 f 2) 1/3) (*.f64 2/3 (*.f64 n (pow.f64 f 1/9))))
(-.f64 (+.f64 (pow.f64 (pow.f64 f 2) 1/3) (*.f64 2/3 (*.f64 n (pow.f64 f 1/9)))) (*.f64 1/9 (*.f64 (pow.f64 n 2) (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/9))))
(-.f64 (+.f64 (pow.f64 (pow.f64 f 2) 1/3) (+.f64 (*.f64 2/3 (*.f64 n (pow.f64 f 1/9))) (*.f64 4/81 (/.f64 (pow.f64 n 3) f)))) (*.f64 1/9 (*.f64 (pow.f64 n 2) (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/9))))
(pow.f64 (pow.f64 n 2) 1/3)
(+.f64 (*.f64 2/3 (*.f64 f (pow.f64 n 1/9))) (pow.f64 (pow.f64 n 2) 1/3))
(-.f64 (+.f64 (*.f64 2/3 (*.f64 f (pow.f64 n 1/9))) (pow.f64 (pow.f64 n 2) 1/3)) (*.f64 1/9 (*.f64 (pow.f64 f 2) (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/9))))
(-.f64 (+.f64 (*.f64 2/3 (*.f64 f (pow.f64 n 1/9))) (+.f64 (*.f64 4/81 (/.f64 (pow.f64 f 3) n)) (pow.f64 (pow.f64 n 2) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 f 2) (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/9))))
(*.f64 (pow.f64 (pow.f64 f 2) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(+.f64 (*.f64 2/3 (*.f64 n (*.f64 (pow.f64 f 1/9) (pow.f64 (cbrt.f64 -1) 1/3)))) (*.f64 (pow.f64 (pow.f64 f 2) 1/3) (pow.f64 (cbrt.f64 -1) 2)))
(-.f64 (+.f64 (*.f64 2/3 (*.f64 n (*.f64 (pow.f64 f 1/9) (pow.f64 (cbrt.f64 -1) 1/3)))) (*.f64 (pow.f64 (pow.f64 f 2) 1/3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 1/9 (*.f64 (pow.f64 n 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))
(-.f64 (+.f64 (*.f64 2/3 (*.f64 n (*.f64 (pow.f64 f 1/9) (pow.f64 (cbrt.f64 -1) 1/3)))) (*.f64 (pow.f64 (pow.f64 f 2) 1/3) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 4/81 (/.f64 (pow.f64 n 3) f)) (*.f64 1/9 (*.f64 (pow.f64 n 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))))
(pow.f64 (pow.f64 n 2) 1/3)
(-.f64 (pow.f64 (pow.f64 n 2) 1/3) (*.f64 2/3 (*.f64 f (pow.f64 n 1/9))))
(-.f64 (pow.f64 (pow.f64 n 2) 1/3) (+.f64 (*.f64 2/3 (*.f64 f (pow.f64 n 1/9))) (*.f64 1/9 (*.f64 (pow.f64 f 2) (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/9)))))
(-.f64 (pow.f64 (pow.f64 n 2) 1/3) (+.f64 (*.f64 2/3 (*.f64 f (pow.f64 n 1/9))) (+.f64 (*.f64 4/81 (/.f64 (pow.f64 f 3) n)) (*.f64 1/9 (*.f64 (pow.f64 f 2) (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/9))))))
Outputs
(pow.f64 f 1/3)
(cbrt.f64 f)
(+.f64 (*.f64 1/3 (*.f64 n (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/9))) (pow.f64 f 1/3))
(fma.f64 1/3 (*.f64 n (*.f64 (pow.f64 (/.f64 1 (*.f64 f f)) 1/18) (pow.f64 (/.f64 1 (*.f64 f f)) 1/18))) (cbrt.f64 f))
(fma.f64 1/3 (*.f64 n (*.f64 (pow.f64 (/.f64 (/.f64 1 f) f) 1/18) (pow.f64 (/.f64 (/.f64 1 f) f) 1/18))) (cbrt.f64 f))
(fma.f64 (*.f64 (*.f64 1/3 n) (pow.f64 (/.f64 1 (*.f64 f f)) 1/18)) (pow.f64 (/.f64 1 (*.f64 f f)) 1/18) (cbrt.f64 f))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 n (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/9))) (pow.f64 f 1/3)) (*.f64 1/9 (*.f64 (pow.f64 n 2) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/9))))
(+.f64 (fma.f64 1/3 (*.f64 n (*.f64 (pow.f64 (/.f64 1 (*.f64 f f)) 1/18) (pow.f64 (/.f64 1 (*.f64 f f)) 1/18))) (cbrt.f64 f)) (*.f64 -1/9 (*.f64 (*.f64 n n) (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18)))))
(+.f64 (fma.f64 1/3 (*.f64 n (*.f64 (pow.f64 (/.f64 (/.f64 1 f) f) 1/18) (pow.f64 (/.f64 (/.f64 1 f) f) 1/18))) (cbrt.f64 f)) (*.f64 (*.f64 -1/9 (*.f64 n n)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18))))
(fma.f64 (*.f64 (*.f64 n n) (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18))) -1/9 (fma.f64 (*.f64 (*.f64 1/3 n) (pow.f64 (/.f64 1 (*.f64 f f)) 1/18)) (pow.f64 (/.f64 1 (*.f64 f f)) 1/18) (cbrt.f64 f)))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 n (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/9))) (+.f64 (pow.f64 f 1/3) (*.f64 5/81 (*.f64 (pow.f64 n 3) (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/3))))) (*.f64 1/9 (*.f64 (pow.f64 n 2) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/9))))
(+.f64 (fma.f64 1/3 (*.f64 n (*.f64 (pow.f64 (/.f64 1 (*.f64 f f)) 1/18) (pow.f64 (/.f64 1 (*.f64 f f)) 1/18))) (+.f64 (cbrt.f64 f) (*.f64 5/81 (*.f64 (pow.f64 n 3) (cbrt.f64 (/.f64 1 (pow.f64 f 4))))))) (*.f64 -1/9 (*.f64 (*.f64 n n) (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18)))))
(+.f64 (fma.f64 1/3 (*.f64 n (*.f64 (pow.f64 (/.f64 (/.f64 1 f) f) 1/18) (pow.f64 (/.f64 (/.f64 1 f) f) 1/18))) (fma.f64 5/81 (*.f64 (pow.f64 n 3) (cbrt.f64 (/.f64 1 (pow.f64 f 4)))) (cbrt.f64 f))) (*.f64 (*.f64 -1/9 (*.f64 n n)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18))))
(fma.f64 (*.f64 (*.f64 n n) (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18))) -1/9 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 f f)) 1/18) (pow.f64 (/.f64 1 (*.f64 f f)) 1/18)) (*.f64 1/3 n) (fma.f64 5/81 (*.f64 (pow.f64 n 3) (cbrt.f64 (/.f64 1 (pow.f64 f 4)))) (cbrt.f64 f))))
(pow.f64 n 1/3)
(cbrt.f64 n)
(+.f64 (*.f64 1/3 (*.f64 f (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9))) (pow.f64 n 1/3))
(fma.f64 1/3 (*.f64 f (*.f64 (pow.f64 (/.f64 1 (*.f64 n n)) 1/18) (pow.f64 (/.f64 1 (*.f64 n n)) 1/18))) (cbrt.f64 n))
(fma.f64 1/3 (*.f64 (*.f64 f (pow.f64 (/.f64 1 (*.f64 n n)) 1/18)) (pow.f64 (/.f64 1 (*.f64 n n)) 1/18)) (cbrt.f64 n))
(fma.f64 f (*.f64 (pow.f64 (/.f64 1 (*.f64 n n)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 n n)) 1/18) 1/3)) (cbrt.f64 n))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 f (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9))) (pow.f64 n 1/3)) (*.f64 1/9 (*.f64 (pow.f64 f 2) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/9))))
(+.f64 (fma.f64 1/3 (*.f64 f (*.f64 (pow.f64 (/.f64 1 (*.f64 n n)) 1/18) (pow.f64 (/.f64 1 (*.f64 n n)) 1/18))) (cbrt.f64 n)) (*.f64 -1/9 (*.f64 (*.f64 f f) (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18)))))
(+.f64 (fma.f64 1/3 (*.f64 (*.f64 f (pow.f64 (/.f64 1 (*.f64 n n)) 1/18)) (pow.f64 (/.f64 1 (*.f64 n n)) 1/18)) (cbrt.f64 n)) (*.f64 (*.f64 -1/9 (*.f64 f f)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18))))
(fma.f64 (*.f64 f (*.f64 f (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18)))) -1/9 (fma.f64 f (*.f64 (pow.f64 (/.f64 1 (*.f64 n n)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 n n)) 1/18) 1/3)) (cbrt.f64 n)))
(-.f64 (+.f64 (*.f64 5/81 (*.f64 (pow.f64 f 3) (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 f (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9))) (pow.f64 n 1/3))) (*.f64 1/9 (*.f64 (pow.f64 f 2) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/9))))
(+.f64 (fma.f64 5/81 (*.f64 (pow.f64 f 3) (cbrt.f64 (/.f64 1 (pow.f64 n 4)))) (fma.f64 1/3 (*.f64 f (*.f64 (pow.f64 (/.f64 1 (*.f64 n n)) 1/18) (pow.f64 (/.f64 1 (*.f64 n n)) 1/18))) (cbrt.f64 n))) (*.f64 -1/9 (*.f64 (*.f64 f f) (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18)))))
(+.f64 (fma.f64 5/81 (*.f64 (pow.f64 f 3) (cbrt.f64 (/.f64 1 (pow.f64 n 4)))) (fma.f64 1/3 (*.f64 (*.f64 f (pow.f64 (/.f64 1 (*.f64 n n)) 1/18)) (pow.f64 (/.f64 1 (*.f64 n n)) 1/18)) (cbrt.f64 n))) (*.f64 (*.f64 -1/9 (*.f64 f f)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18))))
(fma.f64 5/81 (*.f64 (pow.f64 f 3) (cbrt.f64 (/.f64 1 (pow.f64 n 4)))) (fma.f64 (*.f64 f (*.f64 f (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18)))) -1/9 (fma.f64 f (*.f64 (pow.f64 (/.f64 1 (*.f64 n n)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 n n)) 1/18) 1/3)) (cbrt.f64 n))))
(*.f64 (pow.f64 f 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 f) (cbrt.f64 -1))
(+.f64 (*.f64 (pow.f64 f 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 n (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))))
(fma.f64 (cbrt.f64 f) (cbrt.f64 -1) (*.f64 1/3 (*.f64 n (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 f f)) 1/18) (pow.f64 (/.f64 1 (*.f64 f f)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 1/3 (*.f64 (*.f64 n (*.f64 (pow.f64 (/.f64 (/.f64 1 f) f) 1/18) (pow.f64 (/.f64 (/.f64 1 f) f) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (cbrt.f64 f) (cbrt.f64 -1)))
(fma.f64 (*.f64 n (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (pow.f64 (/.f64 1 (*.f64 f f)) 1/18) (pow.f64 (/.f64 1 (*.f64 f f)) 1/18)) (*.f64 (cbrt.f64 f) (cbrt.f64 -1)))
(-.f64 (+.f64 (*.f64 (pow.f64 f 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 n (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))) (*.f64 1/9 (*.f64 (pow.f64 n 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3)))))
(+.f64 (fma.f64 (cbrt.f64 f) (cbrt.f64 -1) (*.f64 1/3 (*.f64 n (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 f f)) 1/18) (pow.f64 (/.f64 1 (*.f64 f f)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) (*.f64 -1/9 (*.f64 (*.f64 n n) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))))))
(fma.f64 (cbrt.f64 f) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (*.f64 n (*.f64 (pow.f64 (/.f64 (/.f64 1 f) f) 1/18) (pow.f64 (/.f64 (/.f64 1 f) f) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (*.f64 (*.f64 (*.f64 n n) (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))) -1/9)))
(fma.f64 (*.f64 (*.f64 n n) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18)) -1/9)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (fma.f64 (*.f64 n (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (pow.f64 (/.f64 1 (*.f64 f f)) 1/18) (pow.f64 (/.f64 1 (*.f64 f f)) 1/18)) (*.f64 (cbrt.f64 f) (cbrt.f64 -1))))
(-.f64 (+.f64 (*.f64 (pow.f64 f 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 5/81 (*.f64 (/.f64 (pow.f64 n 3) (pow.f64 (cbrt.f64 -1) 4)) (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/3))) (*.f64 1/3 (*.f64 n (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))))) (*.f64 1/9 (*.f64 (pow.f64 n 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3)))))
(+.f64 (fma.f64 (cbrt.f64 f) (cbrt.f64 -1) (fma.f64 5/81 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 f 4))) (/.f64 (pow.f64 n 3) (pow.f64 (cbrt.f64 -1) 4))) (*.f64 1/3 (*.f64 n (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 f f)) 1/18) (pow.f64 (/.f64 1 (*.f64 f f)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (*.f64 -1/9 (*.f64 (*.f64 n n) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))))))
(+.f64 (fma.f64 (cbrt.f64 f) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (*.f64 n (*.f64 (pow.f64 (/.f64 (/.f64 1 f) f) 1/18) (pow.f64 (/.f64 (/.f64 1 f) f) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 f 4))) (/.f64 (*.f64 5/81 (pow.f64 n 3)) (pow.f64 (cbrt.f64 -1) 4))))) (*.f64 (*.f64 (*.f64 (*.f64 n n) (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))) -1/9))
(fma.f64 (*.f64 n (*.f64 n (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))))) -1/9 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 f 4))) (*.f64 -5/81 (/.f64 (pow.f64 n 3) (cbrt.f64 -1))) (fma.f64 (*.f64 n (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (pow.f64 (/.f64 1 (*.f64 f f)) 1/18) (pow.f64 (/.f64 1 (*.f64 f f)) 1/18)) (*.f64 (cbrt.f64 f) (cbrt.f64 -1)))))
(pow.f64 n 1/3)
(cbrt.f64 n)
(-.f64 (pow.f64 n 1/3) (*.f64 1/3 (*.f64 f (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9))))
(+.f64 (cbrt.f64 n) (*.f64 -1/3 (*.f64 f (*.f64 (pow.f64 (/.f64 1 (*.f64 n n)) 1/18) (pow.f64 (/.f64 1 (*.f64 n n)) 1/18)))))
(-.f64 (cbrt.f64 n) (*.f64 1/3 (*.f64 (*.f64 f (pow.f64 (/.f64 1 (*.f64 n n)) 1/18)) (pow.f64 (/.f64 1 (*.f64 n n)) 1/18))))
(fma.f64 (*.f64 (*.f64 f (pow.f64 (/.f64 1 (*.f64 n n)) 1/18)) (pow.f64 (/.f64 1 (*.f64 n n)) 1/18)) -1/3 (cbrt.f64 n))
(-.f64 (pow.f64 n 1/3) (+.f64 (*.f64 1/3 (*.f64 f (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9))) (*.f64 1/9 (*.f64 (pow.f64 f 2) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/9)))))
(-.f64 (cbrt.f64 n) (fma.f64 1/3 (*.f64 f (*.f64 (pow.f64 (/.f64 1 (*.f64 n n)) 1/18) (pow.f64 (/.f64 1 (*.f64 n n)) 1/18))) (*.f64 1/9 (*.f64 (*.f64 f f) (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18))))))
(-.f64 (cbrt.f64 n) (fma.f64 1/3 (*.f64 (*.f64 f (pow.f64 (/.f64 1 (*.f64 n n)) 1/18)) (pow.f64 (/.f64 1 (*.f64 n n)) 1/18)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18)) (*.f64 (*.f64 f f) 1/9))))
(+.f64 (cbrt.f64 n) (fma.f64 (*.f64 (*.f64 f (pow.f64 (/.f64 1 (*.f64 n n)) 1/18)) (pow.f64 (/.f64 1 (*.f64 n n)) 1/18)) -1/3 (*.f64 (*.f64 (*.f64 f f) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) -1/9))))
(-.f64 (pow.f64 n 1/3) (+.f64 (*.f64 5/81 (*.f64 (pow.f64 f 3) (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 f (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9))) (*.f64 1/9 (*.f64 (pow.f64 f 2) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/9))))))
(-.f64 (cbrt.f64 n) (fma.f64 5/81 (*.f64 (pow.f64 f 3) (cbrt.f64 (/.f64 1 (pow.f64 n 4)))) (fma.f64 1/3 (*.f64 f (*.f64 (pow.f64 (/.f64 1 (*.f64 n n)) 1/18) (pow.f64 (/.f64 1 (*.f64 n n)) 1/18))) (*.f64 1/9 (*.f64 (*.f64 f f) (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18)))))))
(-.f64 (cbrt.f64 n) (fma.f64 5/81 (*.f64 (pow.f64 f 3) (cbrt.f64 (/.f64 1 (pow.f64 n 4)))) (fma.f64 1/3 (*.f64 (*.f64 f (pow.f64 (/.f64 1 (*.f64 n n)) 1/18)) (pow.f64 (/.f64 1 (*.f64 n n)) 1/18)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18)) (*.f64 (*.f64 f f) 1/9)))))
(-.f64 (cbrt.f64 n) (fma.f64 f (*.f64 (pow.f64 (/.f64 1 (*.f64 n n)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 n n)) 1/18) 1/3)) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/18)) 1/9) (*.f64 5/81 (*.f64 (pow.f64 f 3) (cbrt.f64 (/.f64 1 (pow.f64 n 4))))))))
(pow.f64 (pow.f64 f 2) 1/3)
(cbrt.f64 (*.f64 f f))
(+.f64 (pow.f64 (pow.f64 f 2) 1/3) (*.f64 2/3 (*.f64 n (pow.f64 f 1/9))))
(+.f64 (cbrt.f64 (*.f64 f f)) (*.f64 2/3 (*.f64 n (*.f64 (pow.f64 f 1/18) (pow.f64 f 1/18)))))
(fma.f64 2/3 (*.f64 n (*.f64 (pow.f64 f 1/18) (pow.f64 f 1/18))) (cbrt.f64 (*.f64 f f)))
(fma.f64 n (*.f64 (pow.f64 f 1/18) (*.f64 (pow.f64 f 1/18) 2/3)) (cbrt.f64 (*.f64 f f)))
(-.f64 (+.f64 (pow.f64 (pow.f64 f 2) 1/3) (*.f64 2/3 (*.f64 n (pow.f64 f 1/9)))) (*.f64 1/9 (*.f64 (pow.f64 n 2) (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/9))))
(+.f64 (cbrt.f64 (*.f64 f f)) (-.f64 (*.f64 2/3 (*.f64 n (*.f64 (pow.f64 f 1/18) (pow.f64 f 1/18)))) (*.f64 1/9 (*.f64 (*.f64 n n) (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18))))))
(-.f64 (fma.f64 2/3 (*.f64 n (*.f64 (pow.f64 f 1/18) (pow.f64 f 1/18))) (cbrt.f64 (*.f64 f f))) (*.f64 (*.f64 n n) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18)) 1/9)))
(fma.f64 (*.f64 n (*.f64 n (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18)))) -1/9 (fma.f64 n (*.f64 (pow.f64 f 1/18) (*.f64 (pow.f64 f 1/18) 2/3)) (cbrt.f64 (*.f64 f f))))
(-.f64 (+.f64 (pow.f64 (pow.f64 f 2) 1/3) (+.f64 (*.f64 2/3 (*.f64 n (pow.f64 f 1/9))) (*.f64 4/81 (/.f64 (pow.f64 n 3) f)))) (*.f64 1/9 (*.f64 (pow.f64 n 2) (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/9))))
(+.f64 (cbrt.f64 (*.f64 f f)) (-.f64 (fma.f64 2/3 (*.f64 n (*.f64 (pow.f64 f 1/18) (pow.f64 f 1/18))) (*.f64 4/81 (/.f64 (pow.f64 n 3) f))) (*.f64 1/9 (*.f64 (*.f64 n n) (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18))))))
(+.f64 (fma.f64 2/3 (*.f64 n (*.f64 (pow.f64 f 1/18) (pow.f64 f 1/18))) (cbrt.f64 (*.f64 f f))) (-.f64 (*.f64 4/81 (/.f64 (pow.f64 n 3) f)) (*.f64 (*.f64 n n) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18)) 1/9))))
(fma.f64 (*.f64 n (*.f64 n (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18)))) -1/9 (fma.f64 n (*.f64 (pow.f64 f 1/18) (*.f64 (pow.f64 f 1/18) 2/3)) (fma.f64 4/81 (/.f64 (pow.f64 n 3) f) (cbrt.f64 (*.f64 f f)))))
(pow.f64 (pow.f64 n 2) 1/3)
(cbrt.f64 (*.f64 n n))
(+.f64 (*.f64 2/3 (*.f64 f (pow.f64 n 1/9))) (pow.f64 (pow.f64 n 2) 1/3))
(fma.f64 2/3 (*.f64 f (*.f64 (pow.f64 n 1/18) (pow.f64 n 1/18))) (cbrt.f64 (*.f64 n n)))
(fma.f64 (*.f64 (*.f64 f 2/3) (pow.f64 n 1/18)) (pow.f64 n 1/18) (cbrt.f64 (*.f64 n n)))
(-.f64 (+.f64 (*.f64 2/3 (*.f64 f (pow.f64 n 1/9))) (pow.f64 (pow.f64 n 2) 1/3)) (*.f64 1/9 (*.f64 (pow.f64 f 2) (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/9))))
(+.f64 (fma.f64 2/3 (*.f64 f (*.f64 (pow.f64 n 1/18) (pow.f64 n 1/18))) (cbrt.f64 (*.f64 n n))) (*.f64 -1/9 (*.f64 (*.f64 f f) (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18)))))
(-.f64 (fma.f64 2/3 (*.f64 f (*.f64 (pow.f64 n 1/18) (pow.f64 n 1/18))) (cbrt.f64 (*.f64 n n))) (*.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18)) 1/9)))
(fma.f64 (*.f64 (*.f64 f f) (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18))) -1/9 (fma.f64 (*.f64 (*.f64 f 2/3) (pow.f64 n 1/18)) (pow.f64 n 1/18) (cbrt.f64 (*.f64 n n))))
(-.f64 (+.f64 (*.f64 2/3 (*.f64 f (pow.f64 n 1/9))) (+.f64 (*.f64 4/81 (/.f64 (pow.f64 f 3) n)) (pow.f64 (pow.f64 n 2) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 f 2) (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/9))))
(+.f64 (fma.f64 2/3 (*.f64 f (*.f64 (pow.f64 n 1/18) (pow.f64 n 1/18))) (fma.f64 4/81 (/.f64 (pow.f64 f 3) n) (cbrt.f64 (*.f64 n n)))) (*.f64 -1/9 (*.f64 (*.f64 f f) (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18)))))
(+.f64 (fma.f64 2/3 (*.f64 f (*.f64 (pow.f64 n 1/18) (pow.f64 n 1/18))) (fma.f64 4/81 (/.f64 (pow.f64 f 3) n) (cbrt.f64 (*.f64 n n)))) (*.f64 (*.f64 f (*.f64 f (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18)))) -1/9))
(fma.f64 (*.f64 (*.f64 f f) (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18))) -1/9 (fma.f64 2/3 (*.f64 f (*.f64 (pow.f64 n 1/18) (pow.f64 n 1/18))) (fma.f64 4/81 (/.f64 (pow.f64 f 3) n) (cbrt.f64 (*.f64 n n)))))
(*.f64 (pow.f64 (pow.f64 f 2) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 f f)))
(+.f64 (*.f64 2/3 (*.f64 n (*.f64 (pow.f64 f 1/9) (pow.f64 (cbrt.f64 -1) 1/3)))) (*.f64 (pow.f64 (pow.f64 f 2) 1/3) (pow.f64 (cbrt.f64 -1) 2)))
(fma.f64 2/3 (*.f64 n (*.f64 (*.f64 (pow.f64 f 1/18) (pow.f64 f 1/18)) (cbrt.f64 (cbrt.f64 -1)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 f f))))
(fma.f64 2/3 (*.f64 (*.f64 n (*.f64 (pow.f64 f 1/18) (pow.f64 f 1/18))) (cbrt.f64 (cbrt.f64 -1))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 f f))))
(fma.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 f f)) (*.f64 n (*.f64 (*.f64 (pow.f64 f 1/18) (pow.f64 f 1/18)) (*.f64 (cbrt.f64 (cbrt.f64 -1)) 2/3))))
(-.f64 (+.f64 (*.f64 2/3 (*.f64 n (*.f64 (pow.f64 f 1/9) (pow.f64 (cbrt.f64 -1) 1/3)))) (*.f64 (pow.f64 (pow.f64 f 2) 1/3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 1/9 (*.f64 (pow.f64 n 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))))
(-.f64 (fma.f64 2/3 (*.f64 n (*.f64 (*.f64 (pow.f64 f 1/18) (pow.f64 f 1/18)) (cbrt.f64 (cbrt.f64 -1)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 f f)))) (*.f64 1/9 (*.f64 (*.f64 n n) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))))
(fma.f64 2/3 (*.f64 (*.f64 n (*.f64 (pow.f64 f 1/18) (pow.f64 f 1/18))) (cbrt.f64 (cbrt.f64 -1))) (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 f f)) (*.f64 (*.f64 (*.f64 n (*.f64 n (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18)))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9)))
(fma.f64 (*.f64 (*.f64 n n) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18)) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))))) -1/9 (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 f f)) (*.f64 n (*.f64 (*.f64 (pow.f64 f 1/18) (pow.f64 f 1/18)) (*.f64 (cbrt.f64 (cbrt.f64 -1)) 2/3)))))
(-.f64 (+.f64 (*.f64 2/3 (*.f64 n (*.f64 (pow.f64 f 1/9) (pow.f64 (cbrt.f64 -1) 1/3)))) (*.f64 (pow.f64 (pow.f64 f 2) 1/3) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 4/81 (/.f64 (pow.f64 n 3) f)) (*.f64 1/9 (*.f64 (pow.f64 n 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))))
(-.f64 (fma.f64 2/3 (*.f64 n (*.f64 (*.f64 (pow.f64 f 1/18) (pow.f64 f 1/18)) (cbrt.f64 (cbrt.f64 -1)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 f f)))) (fma.f64 4/81 (/.f64 (pow.f64 n 3) f) (*.f64 1/9 (*.f64 (*.f64 n n) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))))))
(-.f64 (fma.f64 2/3 (*.f64 (*.f64 n (*.f64 (pow.f64 f 1/18) (pow.f64 f 1/18))) (cbrt.f64 (cbrt.f64 -1))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 f f)))) (fma.f64 1/9 (*.f64 (*.f64 n (*.f64 n (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18)))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 4/81 (/.f64 (pow.f64 n 3) f))))
(fma.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 f f)) (fma.f64 n (*.f64 (*.f64 (pow.f64 f 1/18) (pow.f64 f 1/18)) (*.f64 (cbrt.f64 (cbrt.f64 -1)) 2/3)) (fma.f64 (*.f64 (*.f64 n n) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 f 4)) 1/18)) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))))) -1/9 (/.f64 -4/81 (/.f64 f (pow.f64 n 3))))))
(pow.f64 (pow.f64 n 2) 1/3)
(cbrt.f64 (*.f64 n n))
(-.f64 (pow.f64 (pow.f64 n 2) 1/3) (*.f64 2/3 (*.f64 f (pow.f64 n 1/9))))
(+.f64 (cbrt.f64 (*.f64 n n)) (*.f64 -2/3 (*.f64 f (*.f64 (pow.f64 n 1/18) (pow.f64 n 1/18)))))
(+.f64 (cbrt.f64 (*.f64 n n)) (*.f64 (*.f64 -2/3 f) (*.f64 (pow.f64 n 1/18) (pow.f64 n 1/18))))
(fma.f64 (*.f64 f (*.f64 (pow.f64 n 1/18) (pow.f64 n 1/18))) -2/3 (cbrt.f64 (*.f64 n n)))
(-.f64 (pow.f64 (pow.f64 n 2) 1/3) (+.f64 (*.f64 2/3 (*.f64 f (pow.f64 n 1/9))) (*.f64 1/9 (*.f64 (pow.f64 f 2) (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/9)))))
(-.f64 (cbrt.f64 (*.f64 n n)) (fma.f64 2/3 (*.f64 f (*.f64 (pow.f64 n 1/18) (pow.f64 n 1/18))) (*.f64 1/9 (*.f64 (*.f64 f f) (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18))))))
(-.f64 (cbrt.f64 (*.f64 n n)) (fma.f64 2/3 (*.f64 f (*.f64 (pow.f64 n 1/18) (pow.f64 n 1/18))) (*.f64 (*.f64 f f) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18)) 1/9))))
(-.f64 (cbrt.f64 (*.f64 n n)) (fma.f64 f (*.f64 (*.f64 (pow.f64 n 1/18) (pow.f64 n 1/18)) 2/3) (*.f64 (*.f64 f f) (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18) 1/9)))))
(-.f64 (pow.f64 (pow.f64 n 2) 1/3) (+.f64 (*.f64 2/3 (*.f64 f (pow.f64 n 1/9))) (+.f64 (*.f64 4/81 (/.f64 (pow.f64 f 3) n)) (*.f64 1/9 (*.f64 (pow.f64 f 2) (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/9))))))
(-.f64 (cbrt.f64 (*.f64 n n)) (fma.f64 2/3 (*.f64 f (*.f64 (pow.f64 n 1/18) (pow.f64 n 1/18))) (fma.f64 4/81 (/.f64 (pow.f64 f 3) n) (*.f64 1/9 (*.f64 (*.f64 f f) (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18)))))))
(-.f64 (cbrt.f64 (*.f64 n n)) (fma.f64 2/3 (*.f64 f (*.f64 (pow.f64 n 1/18) (pow.f64 n 1/18))) (fma.f64 1/9 (*.f64 f (*.f64 f (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18)))) (*.f64 4/81 (/.f64 (pow.f64 f 3) n)))))
(-.f64 (cbrt.f64 (*.f64 n n)) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/18) 1/9)) (fma.f64 (*.f64 (pow.f64 n 1/18) (pow.f64 n 1/18)) (*.f64 f 2/3) (*.f64 4/81 (/.f64 (pow.f64 f 3) n)))))

prune162.0ms (7.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2440244
Fresh022
Picked011
Done000
Total2443247
Error
0b
Counts
247 → 3
Alt Table
StatusErrorProgram
0.1b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (cbrt.f64 (+.f64 n f)) (cbrt.f64 (-.f64 n f))))
29.6b
(fma.f64 2 (/.f64 f n) 1)
33.6b
(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)
Compiler

Compiled 8799 to 4056 computations (53.9% saved)

localize4.0ms (0.2%)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done011
Total033
Error
0b
Counts
3 → 3
Alt Table
StatusErrorProgram
0.1b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (cbrt.f64 (+.f64 n f)) (cbrt.f64 (-.f64 n f))))
29.6b
(fma.f64 2 (/.f64 f n) 1)
33.6b
(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)
Compiler

Compiled 47 to 28 computations (40.4% saved)

regimes99.0ms (4.8%)

Accuracy

Total 0.0b remaining (8.6%)

Threshold costs 0.0b (8.6%)

Counts
43 → 1
Compiler

Compiled 1491 to 1008 computations (32.4% saved)

simplify3.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
11215
21715
31915
42015
Stop Event
saturated
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3))
Outputs
(cbrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3))

end57.0ms (2.8%)

Stop Event
fuel
Compiler

Compiled 71 to 44 computations (38% saved)

Profiling

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