Details

Time bar (total: 9.9s)

analyze71.0ms (0.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
18.8%18.7%81.2%0.1%0%0%0%6
46.9%46.8%53.1%0.1%0%0%0%7
56.3%56.2%43.7%0.1%0%0%0%8
71.1%71%28.9%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
85%84.9%15%0.1%0%0%0%11
87.9%87.8%12.1%0.1%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample708.0ms (7.1%)

Results
696.0ms8256×body256valid
Bogosity

preprocess158.0ms (1.6%)

Algorithm
2×egg-herbie
Rules
926×associate-*r*
770×associate-/r*
748×fma-def
744×associate-*r/
644×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01346
12846
25846
311546
424846
556538
6141738
7342238
8488238
9538938
10580238
11584438
12585638
13585638
022
Stop Event
1×saturated
1×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 12 to 8 computations (33.3% saved)

simplify142.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
840×fma-def
618×associate-/r*
554×associate-*r*
480×associate-*l*
468×associate-/l*
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0923
12023
24423
38523
417023
535523
682519
7242519
8362419
9455619
10491319
11496119
12497319
13497319
Stop Event
1×saturated
Counts
1 → 3
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 f) n) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))

eval1.0ms (0%)

Compiler

Compiled 25 to 11 computations (56% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Error
0.0b
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 17 to 5 computations (70.6% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite64.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1418×associate-*l/
1196×associate-/r*
886×associate-/l*
876×*-commutative
720×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
116319
2249719
Stop Event
1×node limit
Counts
1 → 68
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 n f)) f) (*.f64 (/.f64 1 (-.f64 n f)) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (*.f64 (/.f64 1 (-.f64 n f)) f))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n n)) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f (+.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f n)))))) (#(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 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.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 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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 (/.f64 1 (-.f64 n f)) (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 n n (*.f64 f (+.f64 f n))) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 f) n) (/.f64 -1 (-.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 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 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (/.f64 1 (sqrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))) (pow.f64 (+.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 (+.f64 f n) (fma.f64 n n (*.f64 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 *.f64 (/.f64 -1 (-.f64 n f)) (-.f64 (neg.f64 f) n))))) (#(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 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (sqrt.f64 (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (/.f64 (sqrt.f64 (+.f64 f n)) 1))))) (#(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 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))) (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))))) (#(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 (cbrt.f64 (+.f64 f n)) (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 f n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1))))) (#(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 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.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 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (-.f64 n f)) (cbrt.f64 (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (/.f64 (+.f64 f n) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))) (sqrt.f64 (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (/.f64 (+.f64 f n) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (-.f64 n f)))) (cbrt.f64 (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (-.f64 (neg.f64 f) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (*.f64 f (+.f64 f n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (-.f64 (*.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (+.f64 (pow.f64 n 3) (pow.f64 (neg.f64 f) 3))) (-.f64 (+.f64 (*.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f))) (*.f64 n (neg.f64 f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (-.f64 n f) (pow.f64 (cbrt.f64 (+.f64 f n)) 2))) (cbrt.f64 (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (-.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 *.f64 (/.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (-.f64 (*.f64 f f) (*.f64 n n))) (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (-.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 n n (*.f64 f (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (-.f64 (*.f64 (*.f64 f f) (*.f64 f f)) (*.f64 (*.f64 n (-.f64 n f)) (*.f64 n (-.f64 n f))))) (-.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (pow.f64 (*.f64 f f) 3) (pow.f64 (*.f64 n (-.f64 n f)) 3))) (+.f64 (*.f64 (*.f64 f f) (*.f64 f f)) (-.f64 (*.f64 (*.f64 n (-.f64 n f)) (*.f64 n (-.f64 n f))) (*.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (sqrt.f64 (fma.f64 n n (*.f64 f (+.f64 f n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (sqrt.f64 (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (cbrt.f64 (fma.f64 n n (*.f64 f (+.f64 f n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (cbrt.f64 (+.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 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)))) (#(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 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)))) (#(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) (-.f64 f n)))))) (#(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 expm1.f64 (log1p.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 log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))))

simplify76.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
716×unswap-sqr
528×+-commutative
522×associate-/r/
486×associate-/l/
430×distribute-lft-neg-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02653568
18653308
237223076
Stop Event
1×node limit
Counts
92 → 135
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)))
(+.f64 (*.f64 (/.f64 1 (-.f64 n f)) f) (*.f64 (/.f64 1 (-.f64 n f)) n))
(+.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (*.f64 (/.f64 1 (-.f64 n f)) f))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n n)) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f (+.f64 f n))))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f (+.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n n)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f n)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(*.f64 1 (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(*.f64 (fma.f64 n n (*.f64 f (+.f64 f n))) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(*.f64 (-.f64 (neg.f64 f) n) (/.f64 -1 (-.f64 n f)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (/.f64 1 (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(*.f64 (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))) (pow.f64 (+.f64 f n) 2))
(*.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 (+.f64 f n) (fma.f64 n n (*.f64 f (+.f64 f n)))))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 f n))))
(*.f64 (/.f64 -1 (-.f64 n f)) (-.f64 (neg.f64 f) n))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) 1) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (sqrt.f64 (+.f64 f n)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (/.f64 (sqrt.f64 (+.f64 f n)) 1))
(*.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))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))) (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 f n)) 2))
(*.f64 (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1))
(*.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))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (-.f64 n f))))
(*.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))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (-.f64 n f)) (cbrt.f64 (+.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (+.f64 f n) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))) (sqrt.f64 (+.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (+.f64 f n) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (-.f64 n f)))) (cbrt.f64 (+.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (-.f64 (neg.f64 f) n))
(*.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (*.f64 f (+.f64 f n)))))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (*.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))
(*.f64 (/.f64 (+.f64 f n) (+.f64 (pow.f64 n 3) (pow.f64 (neg.f64 f) 3))) (-.f64 (+.f64 (*.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f))) (*.f64 n (neg.f64 f))))
(*.f64 (/.f64 1 (/.f64 (-.f64 n f) (pow.f64 (cbrt.f64 (+.f64 f n)) 2))) (cbrt.f64 (+.f64 f n)))
(*.f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (+.f64 f n))
(*.f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 n n (*.f64 f (+.f64 f n))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (-.f64 (*.f64 f f) (*.f64 n n))) (+.f64 f n))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (-.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 n n (*.f64 f (+.f64 f n))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (-.f64 (*.f64 (*.f64 f f) (*.f64 f f)) (*.f64 (*.f64 n (-.f64 n f)) (*.f64 n (-.f64 n f))))) (-.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (pow.f64 (*.f64 f f) 3) (pow.f64 (*.f64 n (-.f64 n f)) 3))) (+.f64 (*.f64 (*.f64 f f) (*.f64 f f)) (-.f64 (*.f64 (*.f64 n (-.f64 n f)) (*.f64 n (-.f64 n f))) (*.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))))
(*.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (sqrt.f64 (fma.f64 n n (*.f64 f (+.f64 f n)))))
(*.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (sqrt.f64 (+.f64 f n)))
(*.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (cbrt.f64 (fma.f64 n n (*.f64 f (+.f64 f n)))))
(*.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (cbrt.f64 (+.f64 f n)))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
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 (*.f64 2 (*.f64 f f)) (*.f64 n n)))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 (*.f64 (/.f64 2 n) f) 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 (*.f64 2 (*.f64 f f)) (*.f64 n n))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (+.f64 2 (*.f64 (/.f64 2 n) f))))
-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 (-.f64 (neg.f64 n) n) (*.f64 n n)) (pow.f64 f 3)) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (*.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 (-.f64 (neg.f64 n) n) (*.f64 n n)) (pow.f64 f 3)) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (*.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 (-.f64 (neg.f64 n) n) (*.f64 n n)) (pow.f64 f 3)) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (*.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 (*.f64 2 (*.f64 f f)) (*.f64 n n)))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 (*.f64 (/.f64 2 n) f) 2)))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (*.f64 2 (*.f64 f f)) (*.f64 n n))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (+.f64 2 (*.f64 (/.f64 2 n) f))))
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 (*.f64 2 (*.f64 f f)) (*.f64 n n)))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 (*.f64 (/.f64 2 n) f) 2)))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (*.f64 2 (*.f64 f f)) (*.f64 n n))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 (*.f64 (/.f64 f n) (/.f64 f n)) (+.f64 2 (*.f64 (/.f64 2 n) f))))
(+.f64 (*.f64 (/.f64 1 (-.f64 n f)) f) (*.f64 (/.f64 1 (-.f64 n f)) n))
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (*.f64 (/.f64 1 (-.f64 n f)) f))
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n n)) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f (+.f64 f n))))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 f n))))
(/.f64 (*.f64 (+.f64 f n) (fma.f64 f (+.f64 f n) (*.f64 n n))) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f (+.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n n)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 f n))))
(/.f64 (*.f64 (+.f64 f n) (fma.f64 f (+.f64 f n) (*.f64 n n))) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
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(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(/.f64 (+.f64 f n) (-.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(/.f64 (+.f64 f n) (-.f64 n f))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))

eval71.0ms (0.7%)

Compiler

Compiled 2596 to 954 computations (63.3% saved)

prune24.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1278135
Fresh000
Picked011
Done000
Total1279136
Error
0b
Counts
136 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
▶31.2b
(-.f64 (-.f64 (*.f64 (/.f64 n f) (*.f64 (/.f64 n f) -2)) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
▶0.5b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
▶32.4b
(+.f64 (*.f64 2 (/.f64 f n)) 1)
1.4b
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
▶0.2b
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
▶0.0b
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
33.5b
1
31.3b
-1
Compiler

Compiled 179 to 109 computations (39.1% saved)

localize48.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiled 34 to 7 computations (79.4% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite87.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1446×associate-*l/
1206×associate-/r*
1014×*-commutative
888×associate-/l*
770×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
121642
2291942
Stop Event
1×node limit
Counts
2 → 210
Calls
Call 1
Inputs
(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
Outputs
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(#(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 expm1.f64 (log1p.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))))))))

simplify146.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1306×associate-/l*
808×associate-*r*
790×*-commutative
752×associate-*l*
680×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073413506
1226813080
Stop Event
1×node limit
Counts
258 → 440
Calls
Call 1
Inputs
(-.f64 (exp.f64 1) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 f (exp.f64 1)) n)) (exp.f64 1)) 1)
(-.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 f 2) (exp.f64 1)) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 f (exp.f64 1)) n)) (exp.f64 1))) 1)
(-.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 f 2) (exp.f64 1)) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 f (exp.f64 1)) n)) (+.f64 (*.f64 22/3 (/.f64 (*.f64 (pow.f64 f 3) (exp.f64 1)) (pow.f64 n 3))) (exp.f64 1)))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (exp.f64 -1) (+.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)))) (pow.f64 f 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 n) n) 3)) (+.f64 (*.f64 n (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)))) (exp.f64 -1)) (pow.f64 f 3)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (exp.f64 -1))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (exp.f64 -1) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (+.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (*.f64 1/6 (pow.f64 (-.f64 n (*.f64 -1 n)) 3)))) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3))))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 4) (exp.f64 -1)) (pow.f64 f 4))) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(-.f64 (exp.f64 1) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (exp.f64 1)) n) (exp.f64 1)) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (exp.f64 1)) n) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (exp.f64 1))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (exp.f64 1)) n) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 f (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)))) (exp.f64 1)) (pow.f64 n 3)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (exp.f64 1)))) 1)
(-.f64 (exp.f64 1) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (exp.f64 1)) n) (exp.f64 1)) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (exp.f64 1)) n) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (exp.f64 1))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (exp.f64 1)) n) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 1/2 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (exp.f64 1)) (pow.f64 n 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 f (*.f64 -1 f)) 2) f)) (*.f64 -1 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2))))) (exp.f64 1)) (pow.f64 n 3))) (exp.f64 1)))) 1)
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)))) 1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 0)
(+.f64 1 (+.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) -1))
(+.f64 1 (-.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))
(+.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) -1)
(+.f64 -1 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(-.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1)
(-.f64 (+.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) 2)
(*.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1)
(*.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (sqrt.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 2) (cbrt.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
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(/.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
(/.f64 (*.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (/.f64 1 (-.f64 n f))) (-.f64 n f))
(/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 1 (-.f64 n f))) (neg.f64 (-.f64 f n)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 1 (-.f64 n f))) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 1 (-.f64 n f))) 1) (-.f64 f n))
(/.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) 1) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (*.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) 1) (sqrt.f64 (-.f64 n f)))
(/.f64 (*.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) 1) (cbrt.f64 (-.f64 n f)))
(/.f64 (*.f64 (neg.f64 (-.f64 (neg.f64 f) n)) 1) (neg.f64 (-.f64 f n)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (neg.f64 f) n)) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (sqrt.f64 (-.f64 f n)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) (sqrt.f64 (-.f64 f n)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))) (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (cbrt.f64 (-.f64 n f)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (neg.f64 f) n)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)) (cbrt.f64 (-.f64 f n)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (+.f64 f n)) (sqrt.f64 (-.f64 n f)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (+.f64 f n)) (cbrt.f64 (-.f64 n f)))
(/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 1 (-.f64 f n))) (-.f64 f n))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 1 (-.f64 f n))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (*.f64 1 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
(/.f64 (*.f64 1 (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f)))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(/.f64 (*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f)))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(/.f64 (/.f64 (+.f64 f n) (/.f64 (-.f64 n f) (-.f64 f n))) (-.f64 f n))
(/.f64 (/.f64 (+.f64 f n) (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3)))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (+.f64 (sqrt.f64 n) (sqrt.f64 f))) (-.f64 (sqrt.f64 n) (sqrt.f64 f)))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))) (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))))) (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))))
(/.f64 (/.f64 1 (/.f64 (-.f64 n f) (*.f64 (+.f64 f n) (-.f64 f n)))) (-.f64 f n))
(/.f64 (/.f64 1 (/.f64 (-.f64 n f) (+.f64 (pow.f64 f 3) (pow.f64 n 3)))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) 1)) (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 f n)))
(/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 n f)) (-.f64 f n))
(/.f64 (/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (-.f64 n f)) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) 1) (-.f64 f n))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (sqrt.f64 (-.f64 n f))) (neg.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (neg.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (sqrt.f64 (-.f64 f n))) (sqrt.f64 (-.f64 f n)))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (*.f64 (cbrt.f64 (-.f64 f n)) (cbrt.f64 (-.f64 f n)))) (cbrt.f64 (-.f64 f n)))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) -1) (-.f64 n f))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 1 (-.f64 n f))) 1) (-.f64 f n))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 1 (-.f64 n f))) (sqrt.f64 (-.f64 f n))) (sqrt.f64 (-.f64 f n)))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 1 (-.f64 n f))) (*.f64 (cbrt.f64 (-.f64 f n)) (cbrt.f64 (-.f64 f n)))) (cbrt.f64 (-.f64 f n)))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 1 (-.f64 n f))) (+.f64 (sqrt.f64 n) (sqrt.f64 f))) (-.f64 (sqrt.f64 f) (sqrt.f64 n)))
(/.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) 1) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))) (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))) (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))) (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) 1) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (cbrt.f64 (-.f64 n f))) (cbrt.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) 1) (cbrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 n f)))) (sqrt.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 n f)))) (cbrt.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (cbrt.f64 (-.f64 n f))))) (cbrt.f64 (cbrt.f64 (-.f64 n f))))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
Outputs
(-.f64 (exp.f64 1) 1)
(expm1.f64 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 f (exp.f64 1)) n)) (exp.f64 1)) 1)
(+.f64 (*.f64 2 (/.f64 f (/.f64 n (E.f64)))) (expm1.f64 1))
(+.f64 (expm1.f64 1) (*.f64 (/.f64 2 (/.f64 n f)) (E.f64)))
(-.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 f 2) (exp.f64 1)) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 f (exp.f64 1)) n)) (exp.f64 1))) 1)
(+.f64 (fma.f64 4 (/.f64 (*.f64 f f) (/.f64 (*.f64 n n) (E.f64))) (fma.f64 2 (/.f64 f (/.f64 n (E.f64))) (E.f64))) -1)
(+.f64 (fma.f64 4 (*.f64 (/.f64 f (/.f64 (*.f64 n n) f)) (E.f64)) (fma.f64 2 (*.f64 (/.f64 f n) (E.f64)) (E.f64))) -1)
(-.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 f 2) (exp.f64 1)) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 f (exp.f64 1)) n)) (+.f64 (*.f64 22/3 (/.f64 (*.f64 (pow.f64 f 3) (exp.f64 1)) (pow.f64 n 3))) (exp.f64 1)))) 1)
(+.f64 (fma.f64 4 (/.f64 (*.f64 f f) (/.f64 (*.f64 n n) (E.f64))) (fma.f64 2 (/.f64 f (/.f64 n (E.f64))) (fma.f64 22/3 (/.f64 (pow.f64 f 3) (/.f64 (pow.f64 n 3) (E.f64))) (E.f64)))) -1)
(+.f64 (fma.f64 4 (*.f64 (/.f64 f (/.f64 (*.f64 n n) f)) (E.f64)) (fma.f64 2 (*.f64 (/.f64 f n) (E.f64)) (fma.f64 22/3 (*.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (E.f64)) (E.f64)))) -1)
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)) 1)
(+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1))
(+.f64 (expm1.f64 -1) (*.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1))))
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1))) 1)
(+.f64 (/.f64 (exp.f64 -1) (/.f64 (*.f64 f f) (fma.f64 n (-.f64 (neg.f64 n) n) (*.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))))) (+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1)))
(+.f64 (+.f64 (expm1.f64 -1) (*.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)))) (*.f64 (/.f64 (exp.f64 -1) (*.f64 f f)) (fma.f64 n (*.f64 n -2) (*.f64 1/2 (pow.f64 (*.f64 n -2) 2)))))
(-.f64 (+.f64 (/.f64 (*.f64 (exp.f64 -1) (+.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 n) n) 2)))) (pow.f64 f 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 n) n) 3)) (+.f64 (*.f64 n (pow.f64 (-.f64 (*.f64 -1 n) n) 2)) (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)))) (exp.f64 -1)) (pow.f64 f 3)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 n) n) (exp.f64 -1)) f) (exp.f64 -1)))) 1)
(+.f64 (/.f64 (exp.f64 -1) (/.f64 (*.f64 f f) (fma.f64 n (-.f64 (neg.f64 n) n) (*.f64 1/2 (pow.f64 (-.f64 (neg.f64 n) n) 2))))) (-.f64 (+.f64 (+.f64 (exp.f64 -1) (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1)))) (/.f64 (fma.f64 1/6 (pow.f64 (-.f64 (neg.f64 n) n) 3) (fma.f64 n (pow.f64 (-.f64 (neg.f64 n) n) 2) (*.f64 (-.f64 (neg.f64 n) n) (*.f64 n n)))) (/.f64 (pow.f64 f 3) (exp.f64 -1)))) 1))
(+.f64 (*.f64 (/.f64 (exp.f64 -1) (*.f64 f f)) (fma.f64 n (*.f64 n -2) (*.f64 1/2 (pow.f64 (*.f64 n -2) 2)))) (+.f64 (/.f64 (fma.f64 1/6 (pow.f64 (*.f64 n -2) 3) (fma.f64 n (pow.f64 (*.f64 n -2) 2) (*.f64 (pow.f64 n 3) -2))) (/.f64 (pow.f64 f 3) (exp.f64 -1))) (+.f64 (expm1.f64 -1) (*.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1))))))
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(+.f64 (neg.f64 (/.f64 (-.f64 n (neg.f64 n)) (/.f64 f (exp.f64 -1)))) (expm1.f64 -1))
(+.f64 (expm1.f64 -1) (neg.f64 (*.f64 (/.f64 (*.f64 2 n) f) (exp.f64 -1))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (exp.f64 -1))) 1)
(+.f64 (fma.f64 -1 (/.f64 (-.f64 n (neg.f64 n)) (/.f64 f (exp.f64 -1))) (+.f64 (exp.f64 -1) (/.f64 (fma.f64 -1 (*.f64 n (-.f64 n (neg.f64 n))) (*.f64 1/2 (pow.f64 (-.f64 n (neg.f64 n)) 2))) (/.f64 (*.f64 f f) (exp.f64 -1))))) -1)
(+.f64 (neg.f64 (*.f64 (/.f64 (*.f64 2 n) f) (exp.f64 -1))) (+.f64 (*.f64 (/.f64 (fma.f64 -1 (*.f64 n (*.f64 2 n)) (*.f64 1/2 (pow.f64 (*.f64 2 n) 2))) (*.f64 f f)) (exp.f64 -1)) (expm1.f64 -1)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 n (*.f64 -1 n)) (exp.f64 -1)) f)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (-.f64 n (*.f64 -1 n)))) (*.f64 1/2 (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (exp.f64 -1)) (pow.f64 f 2)) (+.f64 (exp.f64 -1) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 n (pow.f64 (-.f64 n (*.f64 -1 n)) 2))) (+.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (*.f64 1/6 (pow.f64 (-.f64 n (*.f64 -1 n)) 3)))) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(+.f64 (fma.f64 -1 (/.f64 (-.f64 n (neg.f64 n)) (/.f64 f (exp.f64 -1))) (+.f64 (/.f64 (fma.f64 -1 (*.f64 n (-.f64 n (neg.f64 n))) (*.f64 1/2 (pow.f64 (-.f64 n (neg.f64 n)) 2))) (/.f64 (*.f64 f f) (exp.f64 -1))) (+.f64 (exp.f64 -1) (neg.f64 (/.f64 (fma.f64 -1 (*.f64 n (pow.f64 (-.f64 n (neg.f64 n)) 2)) (fma.f64 (*.f64 n n) (-.f64 n (neg.f64 n)) (*.f64 1/6 (pow.f64 (-.f64 n (neg.f64 n)) 3)))) (/.f64 (pow.f64 f 3) (exp.f64 -1))))))) -1)
(+.f64 -1 (+.f64 (+.f64 (fma.f64 -1 (*.f64 (/.f64 (*.f64 2 n) f) (exp.f64 -1)) (exp.f64 -1)) (*.f64 (/.f64 (fma.f64 -1 (*.f64 n (*.f64 2 n)) (*.f64 1/2 (pow.f64 (*.f64 2 n) 2))) (*.f64 f f)) (exp.f64 -1))) (neg.f64 (/.f64 (exp.f64 -1) (/.f64 (pow.f64 f 3) (fma.f64 -1 (*.f64 n (pow.f64 (*.f64 2 n) 2)) (fma.f64 (*.f64 n n) (*.f64 2 n) (*.f64 1/6 (pow.f64 (*.f64 2 n) 3)))))))))
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (exp.f64 -1)) 1)
(+.f64 (/.f64 (-.f64 (neg.f64 n) n) (/.f64 f (exp.f64 -1))) (expm1.f64 -1))
(+.f64 (expm1.f64 -1) (*.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3))))) 1)
(+.f64 (+.f64 (fma.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f) (exp.f64 -1)) (*.f64 2/3 (/.f64 (pow.f64 n 3) (/.f64 (pow.f64 f 3) (exp.f64 -1))))) -1)
(+.f64 (*.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1))) (+.f64 (/.f64 (*.f64 (pow.f64 n 3) 2/3) (/.f64 (pow.f64 f 3) (exp.f64 -1))) (expm1.f64 -1)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f)) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 4) (exp.f64 -1)) (pow.f64 f 4))) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 -1)) (pow.f64 f 3)))))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 n (exp.f64 -1)) f) (fma.f64 2/3 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 n 4)) (pow.f64 f 4)) (+.f64 (exp.f64 -1) (*.f64 2/3 (/.f64 (pow.f64 n 3) (/.f64 (pow.f64 f 3) (exp.f64 -1))))))) -1)
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 n f) (exp.f64 -1)) (fma.f64 2/3 (*.f64 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (exp.f64 -1)) (+.f64 (exp.f64 -1) (/.f64 (*.f64 (pow.f64 n 3) 2/3) (/.f64 (pow.f64 f 3) (exp.f64 -1)))))))
(-.f64 (exp.f64 1) 1)
(expm1.f64 1)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (exp.f64 1)) n) (exp.f64 1)) 1)
(+.f64 (*.f64 2 (/.f64 f (/.f64 n (E.f64)))) (expm1.f64 1))
(+.f64 (expm1.f64 1) (*.f64 (/.f64 2 (/.f64 n f)) (E.f64)))
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(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (-.f64 n f)) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))) (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))) (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 1 (*.f64 (*.f64 (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))) (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))) (/.f64 (-.f64 n f) (+.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(/.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))) (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))) (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))) (/.f64 (-.f64 n f) (+.f64 (pow.f64 f 3) (pow.f64 n 3))))) (*.f64 (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))) (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) 1) (sqrt.f64 (-.f64 n f)))
(/.f64 (+.f64 f n) (*.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (cbrt.f64 (-.f64 n f))) (cbrt.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 n f))) (cbrt.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (*.f64 (*.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 n f))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))))
(/.f64 (+.f64 f n) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 n f))) (sqrt.f64 (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) 1) (cbrt.f64 (-.f64 n f)))
(/.f64 (+.f64 f n) (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (cbrt.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (*.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 n f)))) (sqrt.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 n f))) (sqrt.f64 (cbrt.f64 (-.f64 n f)))))
(/.f64 (+.f64 f n) (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 n f))) (sqrt.f64 (cbrt.f64 (-.f64 n f)))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))))
(/.f64 (+.f64 f n) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 n f)))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 n f)))) (cbrt.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 n f))) (cbrt.f64 (sqrt.f64 (-.f64 n f)))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (cbrt.f64 (-.f64 n f))))) (cbrt.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (cbrt.f64 (-.f64 n f))))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 n f)))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (cbrt.f64 (-.f64 n f)))))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(/.f64 (+.f64 f n) (-.f64 n f))
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 f n))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(/.f64 (+.f64 f n) (-.f64 n f))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 21 to 11 computations (47.6% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

6 calls:

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

rewrite52.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1514×add-sqr-sqrt
1498×*-un-lft-identity
1396×add-cube-cbrt
1380×add-cbrt-cube
1366×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114713
2184713
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 2 (/.f64 f n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (/.f64 f n))) 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 (*.f64 2 (neg.f64 f)) (neg.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 (*.f64 2 f) (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 f) (cbrt.f64 (*.f64 n n))) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 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 (sqrt.f64 (*.f64 2 (/.f64 f n))) 2)))) (#(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 (pow.f64 (*.f64 2 (/.f64 f n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 f n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 f n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 f n))))))))

simplify49.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1662×distribute-lft-in
1616×distribute-rgt-in
1066×associate-*r*
922×associate-*l*
650×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060531
1144417
2541297
33889297
Stop Event
1×node limit
Counts
21 → 27
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 2 (/.f64 f n))) 1)
(/.f64 2 (/.f64 n f))
(/.f64 1 (/.f64 n (*.f64 2 f)))
(/.f64 (*.f64 2 f) n)
(/.f64 (*.f64 2 (neg.f64 f)) (neg.f64 n))
(/.f64 (*.f64 (neg.f64 f) 2) (neg.f64 n))
(/.f64 (/.f64 (*.f64 2 f) 1) n)
(/.f64 (/.f64 (*.f64 2 f) (sqrt.f64 n)) (sqrt.f64 n))
(/.f64 (/.f64 (*.f64 2 f) (cbrt.f64 (*.f64 n n))) (cbrt.f64 n))
(/.f64 (neg.f64 (*.f64 2 f)) (neg.f64 n))
(pow.f64 (*.f64 2 (/.f64 f n)) 1)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 f n))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 f n))) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4))
(log.f64 (pow.f64 (exp.f64 (/.f64 f n)) 2))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 f n))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 f n))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 f n))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 f n))))
Outputs
(-.f64 (+.f64 1 (*.f64 2 (/.f64 f n))) 1)
(+.f64 (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(+.f64 (/.f64 f (/.f64 n 2)) 0)
(*.f64 2 (/.f64 f n))
(/.f64 2 (/.f64 n f))
(+.f64 (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(+.f64 (/.f64 f (/.f64 n 2)) 0)
(*.f64 2 (/.f64 f n))
(/.f64 1 (/.f64 n (*.f64 2 f)))
(+.f64 (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(+.f64 (/.f64 f (/.f64 n 2)) 0)
(*.f64 2 (/.f64 f n))
(/.f64 (*.f64 2 f) n)
(+.f64 (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(+.f64 (/.f64 f (/.f64 n 2)) 0)
(*.f64 2 (/.f64 f n))
(/.f64 (*.f64 2 (neg.f64 f)) (neg.f64 n))
(+.f64 (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(+.f64 (/.f64 f (/.f64 n 2)) 0)
(*.f64 2 (/.f64 f n))
(/.f64 (*.f64 (neg.f64 f) 2) (neg.f64 n))
(+.f64 (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(+.f64 (/.f64 f (/.f64 n 2)) 0)
(*.f64 2 (/.f64 f n))
(/.f64 (/.f64 (*.f64 2 f) 1) n)
(+.f64 (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(+.f64 (/.f64 f (/.f64 n 2)) 0)
(*.f64 2 (/.f64 f n))
(/.f64 (/.f64 (*.f64 2 f) (sqrt.f64 n)) (sqrt.f64 n))
(+.f64 (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(+.f64 (/.f64 f (/.f64 n 2)) 0)
(*.f64 2 (/.f64 f n))
(/.f64 (/.f64 (*.f64 2 f) (cbrt.f64 (*.f64 n n))) (cbrt.f64 n))
(*.f64 (/.f64 2 (cbrt.f64 n)) (/.f64 f (cbrt.f64 (*.f64 n n))))
(*.f64 (/.f64 2 (cbrt.f64 (*.f64 n n))) (/.f64 f (cbrt.f64 n)))
(/.f64 (neg.f64 (*.f64 2 f)) (neg.f64 n))
(+.f64 (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(+.f64 (/.f64 f (/.f64 n 2)) 0)
(*.f64 2 (/.f64 f n))
(pow.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(+.f64 (/.f64 f (/.f64 n 2)) 0)
(*.f64 2 (/.f64 f n))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 f n))) 2)
(+.f64 (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(+.f64 (/.f64 f (/.f64 n 2)) 0)
(*.f64 2 (/.f64 f n))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 f n))) 3)
(+.f64 (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(+.f64 (/.f64 f (/.f64 n 2)) 0)
(*.f64 2 (/.f64 f n))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(+.f64 (/.f64 f (/.f64 n 2)) 0)
(*.f64 2 (/.f64 f n))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4))
(fabs.f64 (*.f64 2 (/.f64 f n)))
(log.f64 (pow.f64 (exp.f64 (/.f64 f n)) 2))
(+.f64 (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(+.f64 (/.f64 f (/.f64 n 2)) 0)
(*.f64 2 (/.f64 f n))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 f n)) 3))
(+.f64 (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(+.f64 (/.f64 f (/.f64 n 2)) 0)
(*.f64 2 (/.f64 f n))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 f n))))
(+.f64 (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(+.f64 (/.f64 f (/.f64 n 2)) 0)
(*.f64 2 (/.f64 f n))
(exp.f64 (log.f64 (*.f64 2 (/.f64 f n))))
(+.f64 (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(+.f64 (/.f64 f (/.f64 n 2)) 0)
(*.f64 2 (/.f64 f n))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 f n))) 1))
(+.f64 (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(+.f64 (/.f64 f (/.f64 n 2)) 0)
(*.f64 2 (/.f64 f n))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 f n))))
(+.f64 (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(+.f64 (/.f64 f (/.f64 n 2)) 0)
(*.f64 2 (/.f64 f n))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 25 to 10 computations (60% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
n
@0
(/.f64 1 (-.f64 n f))
0.0ms
n
@inf
(/.f64 1 (-.f64 n f))
0.0ms
f
@0
(/.f64 1 (-.f64 n f))
0.0ms
n
@-inf
(/.f64 1 (-.f64 n f))
0.0ms
f
@-inf
(/.f64 1 (-.f64 n f))

rewrite108.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1048×*-commutative
998×associate-/r*
800×distribute-lft-in
768×distribute-rgt-in
698×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
120332
2295532
Stop Event
1×node limit
Counts
2 → 174
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 (/.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 (+.f64 n f) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n n)) (*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f (+.f64 n f))) (*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 n n) (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (*.f64 (*.f64 f (+.f64 n f)) (/.f64 (+.f64 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simplify84.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
882×associate-/l*
702×times-frac
638×associate-/r*
632×associate-*r*
614×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05739408
118118264
Stop Event
1×node limit
Counts
222 → 310
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)))))
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(+.f64 (*.f64 (*.f64 n n) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (*.f64 (*.f64 f (+.f64 n f)) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(+.f64 (*.f64 (*.f64 f (+.f64 n f)) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (*.f64 (*.f64 n n) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(+.f64 (*.f64 (+.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (*.f64 (*.f64 n f) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 n f)))) 1)
(*.f64 1 (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) 1)
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(*.f64 (pow.f64 (-.f64 n f) -1/2) (pow.f64 (-.f64 n f) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (pow.f64 (-.f64 n f) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (/.f64 1 (cbrt.f64 (-.f64 n f))))
(*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(*.f64 -1 (/.f64 -1 (-.f64 n f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 1 (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))) (+.f64 n f))
(*.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(*.f64 (/.f64 -1 (-.f64 n f)) -1)
(*.f64 (pow.f64 (sqrt.f64 (-.f64 n f)) -1) (pow.f64 (sqrt.f64 (-.f64 n f)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 n f)) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -1) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) -1))
(*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) 1)) (+.f64 n f))
(*.f64 (/.f64 1 (/.f64 (+.f64 n f) (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))) (sqrt.f64 (+.f64 n f)))
(*.f64 (/.f64 1 (/.f64 (+.f64 n f) (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (-.f64 n f)))) (cbrt.f64 (+.f64 n f)))
(*.f64 (/.f64 1 (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (neg.f64 (+.f64 n f)))
(*.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 1 (-.f64 (*.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 n 3) (pow.f64 (neg.f64 f) 3))) (+.f64 (*.f64 n n) (-.f64 (*.f64 (neg.f64 f) (neg.f64 f)) (*.f64 n (neg.f64 f)))))
(*.f64 (/.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (sqrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (sqrt.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (+.f64 n f))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (cbrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (cbrt.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 (*.f64 (pow.f64 n 3) (pow.f64 n 3)) (*.f64 (pow.f64 f 3) (pow.f64 f 3)))) (+.f64 (pow.f64 f 3) (pow.f64 n 3)))
(*.f64 (/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 (pow.f64 (pow.f64 n 3) 3) (pow.f64 (pow.f64 f 3) 3))) (+.f64 (*.f64 (pow.f64 n 3) (pow.f64 n 3)) (+.f64 (*.f64 (pow.f64 f 3) (pow.f64 f 3)) (*.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(*.f64 (/.f64 (+.f64 n f) (-.f64 (*.f64 (*.f64 n n) (*.f64 n n)) (*.f64 (*.f64 f f) (*.f64 f f)))) (+.f64 (*.f64 f f) (*.f64 n n)))
(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 (*.f64 n n) 3) (pow.f64 (*.f64 f f) 3))) (+.f64 (*.f64 (*.f64 n n) (*.f64 n n)) (+.f64 (*.f64 (*.f64 f f) (*.f64 f f)) (*.f64 (*.f64 f f) (*.f64 n n)))))
(pow.f64 (-.f64 n f) -1)
(pow.f64 (/.f64 1 (-.f64 n f)) 1)
(pow.f64 (pow.f64 (-.f64 n f) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) 3)
(pow.f64 (/.f64 1 (pow.f64 (-.f64 n f) 3)) 1/3)
(sqrt.f64 (pow.f64 (-.f64 n f) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 n f)))))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 n f) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 n f))))
(exp.f64 (neg.f64 (log.f64 (-.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 n f))))
Outputs
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1)
(+.f64 (*.f64 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))) -1)
(-.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))
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)))
(-.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 (+.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)))))
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)))
(-.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 (+.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)))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 (/.f64 n f) 1))
(-.f64 (fma.f64 -1 (/.f64 n f) -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 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 (/.f64 n f) 1)))
(-.f64 (-.f64 (*.f64 (/.f64 n f) (*.f64 -2 (/.f64 n f))) (/.f64 n f)) (+.f64 (/.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 (-.f64 (neg.f64 n) n) (*.f64 n n)) (pow.f64 f 3)) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 (/.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))
-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)
(-.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))
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (neg.f64 (/.f64 n (*.f64 f f))) (/.f64 1 f))
(fma.f64 -1 (/.f64 n (*.f64 f f)) (/.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 n (/.f64 (pow.f64 f 3) n))) (/.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 (fma.f64 -1 (/.f64 n (*.f64 f f)) (fma.f64 -1 (/.f64 (*.f64 n n) (pow.f64 f 3)) (neg.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(fma.f64 -1 (/.f64 n (*.f64 f f)) (fma.f64 -1 (+.f64 (/.f64 n (/.f64 (pow.f64 f 3) n)) (/.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 f (*.f64 n n)))
(+.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 (*.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 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 1 n) (+.f64 (/.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 f (*.f64 n n)) (+.f64 (+.f64 (/.f64 f (/.f64 (pow.f64 n 3) f)) (/.f64 (pow.f64 f 3) (pow.f64 n 4))) (/.f64 1 n)))
(/.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 (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (/.f64 1 n) (+.f64 (/.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 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 1 n) (+.f64 (/.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 f (*.f64 n n)) (+.f64 (+.f64 (/.f64 f (/.f64 (pow.f64 n 3) f)) (/.f64 (pow.f64 f 3) (pow.f64 n 4))) (/.f64 1 n)))
(/.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 (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (/.f64 1 n) (+.f64 (/.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 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 1 n) (+.f64 (/.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 f (*.f64 n n)) (+.f64 (+.f64 (/.f64 f (/.f64 (pow.f64 n 3) f)) (/.f64 (pow.f64 f 3) (pow.f64 n 4))) (/.f64 1 n)))
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (neg.f64 (/.f64 n (*.f64 f f))) (/.f64 1 f))
(fma.f64 -1 (/.f64 n (*.f64 f f)) (/.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 n (/.f64 (pow.f64 f 3) n))) (/.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 (fma.f64 -1 (/.f64 n (*.f64 f f)) (fma.f64 -1 (/.f64 (*.f64 n n) (pow.f64 f 3)) (neg.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(fma.f64 -1 (/.f64 n (*.f64 f f)) (fma.f64 -1 (+.f64 (/.f64 n (/.f64 (pow.f64 f 3) n)) (/.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 (neg.f64 (/.f64 n (*.f64 f f))) (/.f64 1 f))
(fma.f64 -1 (/.f64 n (*.f64 f f)) (/.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))
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(*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n f)))
(*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(+.f64 (*.f64 n (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f)))) (*.f64 f (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f)))))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(+.f64 (*.f64 f (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f)))) (*.f64 n (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f)))))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(+.f64 (*.f64 (*.f64 n n) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (*.f64 (*.f64 f (+.f64 n f)) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(+.f64 (*.f64 (*.f64 f (+.f64 n f)) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (*.f64 (*.f64 n n) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(+.f64 (*.f64 (+.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (*.f64 (*.f64 n f) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 n f)))) 1)
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(*.f64 1 (/.f64 1 (-.f64 n f)))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(*.f64 (/.f64 1 (-.f64 n f)) 1)
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(*.f64 (pow.f64 (-.f64 n f) -1/2) (pow.f64 (-.f64 n f) -1/2))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (pow.f64 (-.f64 n f) -2)))
(/.f64 (*.f64 1 (cbrt.f64 (pow.f64 (-.f64 n f) -2))) (cbrt.f64 (-.f64 n f)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (cbrt.f64 (-.f64 n f)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (/.f64 1 (cbrt.f64 (-.f64 n f))))
(/.f64 (*.f64 1 (cbrt.f64 (pow.f64 (-.f64 n f) -2))) (cbrt.f64 (-.f64 n f)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (cbrt.f64 (-.f64 n f)))
(*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(*.f64 -1 (/.f64 -1 (-.f64 n f)))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 1 (cbrt.f64 (-.f64 n f))))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(*.f64 (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))) (+.f64 n f))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(*.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(*.f64 (/.f64 -1 (-.f64 n f)) -1)
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 n f)) -1) (pow.f64 (sqrt.f64 (-.f64 n f)) -1))
(pow.f64 (sqrt.f64 (-.f64 n f)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 n f)) -1))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -1) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) -1))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) 1)) (+.f64 n f))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(*.f64 (/.f64 1 (/.f64 (+.f64 n f) (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))) (sqrt.f64 (+.f64 n f)))
(*.f64 (sqrt.f64 (+.f64 n f)) (/.f64 1 (*.f64 (/.f64 (+.f64 n f) (sqrt.f64 (+.f64 n f))) (-.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (+.f64 n f)) (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))
(*.f64 (/.f64 1 (/.f64 (+.f64 n f) (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (-.f64 n f)))) (cbrt.f64 (+.f64 n f)))
(*.f64 (cbrt.f64 (+.f64 n f)) (*.f64 (/.f64 1 (+.f64 n f)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (-.f64 n f))))
(/.f64 (cbrt.f64 (+.f64 n f)) (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))
(*.f64 (/.f64 1 (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (neg.f64 (+.f64 n f)))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(*.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(*.f64 (/.f64 1 (-.f64 (*.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(*.f64 (/.f64 1 (+.f64 (pow.f64 n 3) (pow.f64 (neg.f64 f) 3))) (+.f64 (*.f64 n n) (-.f64 (*.f64 (neg.f64 f) (neg.f64 f)) (*.f64 n (neg.f64 f)))))
(*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(*.f64 (/.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (sqrt.f64 (+.f64 n f)))
(*.f64 (sqrt.f64 (+.f64 n f)) (/.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 (-.f64 (*.f64 n n) (*.f64 f f)))))
(/.f64 (pow.f64 (-.f64 n f) -1/2) (/.f64 (sqrt.f64 (-.f64 (*.f64 n n) (*.f64 f f))) (sqrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (sqrt.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 (pow.f64 (-.f64 n f) -1/2) (hypot.f64 (pow.f64 n 3/2) (pow.f64 (neg.f64 f) 3/2))) (sqrt.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (+.f64 n f))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (cbrt.f64 (+.f64 n f)))
(*.f64 (cbrt.f64 (+.f64 n f)) (/.f64 1 (*.f64 (cbrt.f64 (-.f64 (*.f64 n n) (*.f64 f f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) -2)) (cbrt.f64 (-.f64 (*.f64 n n) (*.f64 f f))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (cbrt.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) -2) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (cbrt.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 (*.f64 (pow.f64 n 3) (pow.f64 n 3)) (*.f64 (pow.f64 f 3) (pow.f64 f 3)))) (+.f64 (pow.f64 f 3) (pow.f64 n 3)))
(*.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 (pow.f64 n 6) (pow.f64 f 6))))
(*.f64 (/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 (pow.f64 (pow.f64 n 3) 3) (pow.f64 (pow.f64 f 3) 3))) (+.f64 (*.f64 (pow.f64 n 3) (pow.f64 n 3)) (+.f64 (*.f64 (pow.f64 f 3) (pow.f64 f 3)) (*.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(*.f64 (/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 (pow.f64 (pow.f64 n 3) 3) (pow.f64 (pow.f64 f 3) 3))) (+.f64 (pow.f64 n 6) (+.f64 (pow.f64 f 6) (*.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(*.f64 (/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 (pow.f64 (pow.f64 n 3) 3) (pow.f64 (pow.f64 f 3) 3))) (+.f64 (pow.f64 n 6) (fma.f64 (pow.f64 n 3) (pow.f64 f 3) (pow.f64 f 6))))
(*.f64 (/.f64 (+.f64 n f) (-.f64 (*.f64 (*.f64 n n) (*.f64 n n)) (*.f64 (*.f64 f f) (*.f64 f f)))) (+.f64 (*.f64 f f) (*.f64 n n)))
(*.f64 (fma.f64 f f (*.f64 n n)) (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 4) (pow.f64 f 4))))
(*.f64 (fma.f64 n n (*.f64 f f)) (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 4) (pow.f64 f 4))))
(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 (*.f64 n n) 3) (pow.f64 (*.f64 f f) 3))) (+.f64 (*.f64 (*.f64 n n) (*.f64 n n)) (+.f64 (*.f64 (*.f64 f f) (*.f64 f f)) (*.f64 (*.f64 f f) (*.f64 n n)))))
(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 6) (pow.f64 f 6))) (+.f64 (pow.f64 n 4) (*.f64 (*.f64 f f) (fma.f64 f f (*.f64 n n)))))
(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 6) (pow.f64 f 6))) (fma.f64 (*.f64 f f) (fma.f64 n n (*.f64 f f)) (pow.f64 n 4)))
(pow.f64 (-.f64 n f) -1)
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(pow.f64 (/.f64 1 (-.f64 n f)) 1)
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(pow.f64 (pow.f64 (-.f64 n f) -1/2) 2)
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) 3)
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(pow.f64 (/.f64 1 (pow.f64 (-.f64 n f) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 n f) 3)))
(sqrt.f64 (pow.f64 (-.f64 n f) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 n f))))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 n f)))))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 n f) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 n f))))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(exp.f64 (neg.f64 (log.f64 (-.f64 n f))))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 n f))))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 1 (-.f64 n f))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (/.f64 n f) -2)
✓0.2b
(*.f64 (/.f64 n f) (*.f64 (/.f64 n f) -2))
✓3.8b
(-.f64 (-.f64 (*.f64 (/.f64 n f) (*.f64 (/.f64 n f) -2)) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
✓3.8b
(-.f64 (*.f64 (/.f64 n f) (*.f64 (/.f64 n f) -2)) (/.f64 n f))
Compiler

Compiled 60 to 23 computations (61.7% saved)

series8.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite151.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1860×associate-/r*
1320×associate-/l*
494×associate-+l+
342×associate-+r+
336×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012130
1280112
24195112
Stop Event
1×node limit
Counts
4 → 455
Calls
Call 1
Inputs
(-.f64 (*.f64 (/.f64 n f) (*.f64 (/.f64 n f) -2)) (/.f64 n f))
(-.f64 (-.f64 (*.f64 (/.f64 n f) (*.f64 (/.f64 n f) -2)) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(*.f64 (/.f64 n f) (*.f64 (/.f64 n f) -2))
(*.f64 (/.f64 n f) -2)
Outputs
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simplify223.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1104×associate-/r*
944×associate-+l+
794×associate-+r+
748×associate-*r*
740×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0107031205
1301130119
Stop Event
1×node limit
Counts
551 → 740
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 n f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
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(/.f64 (/.f64 (*.f64 (neg.f64 n) (*.f64 (/.f64 n f) -2)) (pow.f64 (cbrt.f64 f) 2)) (neg.f64 (cbrt.f64 f)))
(/.f64 (/.f64 (*.f64 (neg.f64 n) (*.f64 (/.f64 n f) -2)) (sqrt.f64 (neg.f64 f))) (sqrt.f64 (neg.f64 f)))
(/.f64 (/.f64 (*.f64 (neg.f64 n) (*.f64 (/.f64 n f) -2)) (*.f64 (cbrt.f64 (neg.f64 f)) (cbrt.f64 (neg.f64 f)))) (cbrt.f64 (neg.f64 f)))
(/.f64 (/.f64 (*.f64 (neg.f64 n) (*.f64 (/.f64 n f) -2)) -1) f)
(/.f64 (/.f64 (*.f64 (neg.f64 n) (*.f64 (/.f64 n f) -2)) (neg.f64 (sqrt.f64 f))) (sqrt.f64 f))
(/.f64 (/.f64 (*.f64 (neg.f64 n) (*.f64 (/.f64 n f) -2)) (neg.f64 (pow.f64 (cbrt.f64 f) 2))) (cbrt.f64 f))
(/.f64 (/.f64 (/.f64 (*.f64 (/.f64 n f) -2) (/.f64 (sqrt.f64 f) n)) 1) (sqrt.f64 f))
(/.f64 (/.f64 (/.f64 (*.f64 (/.f64 n f) -2) (/.f64 (sqrt.f64 f) n)) (cbrt.f64 f)) (cbrt.f64 (sqrt.f64 f)))
(/.f64 (/.f64 (/.f64 (*.f64 (/.f64 n f) -2) (/.f64 (sqrt.f64 f) n)) (sqrt.f64 (pow.f64 (cbrt.f64 f) 2))) (sqrt.f64 (cbrt.f64 f)))
(/.f64 (/.f64 (/.f64 (*.f64 (/.f64 n f) -2) (/.f64 (sqrt.f64 f) n)) (sqrt.f64 (sqrt.f64 f))) (sqrt.f64 (sqrt.f64 f)))
(/.f64 (/.f64 (/.f64 (*.f64 (/.f64 n f) -2) (/.f64 (pow.f64 (cbrt.f64 f) 2) n)) 1) (cbrt.f64 f))
(/.f64 (/.f64 (/.f64 (*.f64 (/.f64 n f) -2) (/.f64 (pow.f64 (cbrt.f64 f) 2) n)) (sqrt.f64 (cbrt.f64 f))) (sqrt.f64 (cbrt.f64 f)))
(/.f64 (/.f64 (/.f64 (*.f64 (/.f64 n f) -2) (/.f64 (pow.f64 (cbrt.f64 f) 2) n)) (cbrt.f64 (pow.f64 (cbrt.f64 f) 2))) (cbrt.f64 (cbrt.f64 f)))
(/.f64 (/.f64 (/.f64 (*.f64 (/.f64 n f) -2) (/.f64 (pow.f64 (cbrt.f64 f) 2) n)) (cbrt.f64 (sqrt.f64 f))) (cbrt.f64 (sqrt.f64 f)))
(/.f64 (/.f64 (/.f64 (*.f64 (/.f64 n f) -2) (/.f64 (pow.f64 (cbrt.f64 f) 2) n)) (*.f64 (cbrt.f64 (cbrt.f64 f)) (cbrt.f64 (cbrt.f64 f)))) (cbrt.f64 (cbrt.f64 f)))
(/.f64 (/.f64 (*.f64 (neg.f64 n) (*.f64 n -2)) (neg.f64 f)) f)
(/.f64 (/.f64 (*.f64 (*.f64 n -2) n) f) f)
(/.f64 (/.f64 (*.f64 (*.f64 n -2) n) 1) (*.f64 f f))
(/.f64 (/.f64 (*.f64 (*.f64 n -2) n) (sqrt.f64 f)) (*.f64 (sqrt.f64 f) f))
(/.f64 (/.f64 (*.f64 (*.f64 n -2) n) (pow.f64 (cbrt.f64 f) 2)) (*.f64 (cbrt.f64 f) f))
(/.f64 (/.f64 (*.f64 (*.f64 n -2) n) (*.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 f) 2))) (pow.f64 (cbrt.f64 f) 2))
(/.f64 (/.f64 (*.f64 (*.f64 n -2) n) (*.f64 f (sqrt.f64 f))) (sqrt.f64 f))
(/.f64 (/.f64 (*.f64 (*.f64 n -2) n) (*.f64 f (pow.f64 (cbrt.f64 f) 2))) (cbrt.f64 f))
(/.f64 (/.f64 (*.f64 (*.f64 n -2) 1) f) (/.f64 f n))
(/.f64 (/.f64 (*.f64 (*.f64 n -2) (neg.f64 n)) f) (neg.f64 f))
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (/.f64 n f) -2))) 1) (neg.f64 f))
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (/.f64 n f) -2))) (sqrt.f64 f)) (neg.f64 (sqrt.f64 f)))
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (/.f64 n f) -2))) (pow.f64 (cbrt.f64 f) 2)) (neg.f64 (cbrt.f64 f)))
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (/.f64 n f) -2))) (sqrt.f64 (neg.f64 f))) (sqrt.f64 (neg.f64 f)))
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (/.f64 n f) -2))) (*.f64 (cbrt.f64 (neg.f64 f)) (cbrt.f64 (neg.f64 f)))) (cbrt.f64 (neg.f64 f)))
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (/.f64 n f) -2))) -1) f)
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (/.f64 n f) -2))) (neg.f64 (sqrt.f64 f))) (sqrt.f64 f))
(/.f64 (/.f64 (neg.f64 (*.f64 n (*.f64 (/.f64 n f) -2))) (neg.f64 (pow.f64 (cbrt.f64 f) 2))) (cbrt.f64 f))
(pow.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2)) 1)
(pow.f64 (*.f64 (/.f64 n f) (sqrt.f64 -2)) 2)
(pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 n f) 2) 3) -8) 1/3)
(sqrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 n f) 2)) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 n f) 2) 3) -8))
(expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2))))
(exp.f64 (log.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 n f) -2))) 1)
(/.f64 n (/.f64 f -2))
(/.f64 n (/.f64 (/.f64 f -2) 1))
(/.f64 -2 (/.f64 f n))
(/.f64 (*.f64 (/.f64 n f) -2) 1)
(/.f64 1 (/.f64 f (*.f64 n -2)))
(/.f64 (sqrt.f64 n) (/.f64 (/.f64 f -2) (sqrt.f64 n)))
(/.f64 (sqrt.f64 n) (/.f64 f (*.f64 (sqrt.f64 n) -2)))
(/.f64 (cbrt.f64 n) (/.f64 (/.f64 f -2) (pow.f64 (cbrt.f64 n) 2)))
(/.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 (/.f64 f -2) (cbrt.f64 n)))
(/.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 f (*.f64 (cbrt.f64 n) -2)))
(/.f64 (*.f64 n -2) f)
(/.f64 (neg.f64 n) (/.f64 (neg.f64 f) -2))
(/.f64 (sqrt.f64 (*.f64 n -2)) (/.f64 f (sqrt.f64 (*.f64 n -2))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 n -2)) (cbrt.f64 (*.f64 n -2))) (/.f64 f (cbrt.f64 (*.f64 n -2))))
(/.f64 (*.f64 -2 (neg.f64 n)) (neg.f64 f))
(/.f64 (*.f64 (neg.f64 n) -2) (neg.f64 f))
(/.f64 (/.f64 n -1/2) f)
(/.f64 (/.f64 n (/.f64 (sqrt.f64 f) -2)) (sqrt.f64 f))
(/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 f) 2) -2)) (cbrt.f64 f))
(/.f64 (/.f64 -2 f) (/.f64 1 n))
(/.f64 (neg.f64 (*.f64 n -2)) (neg.f64 f))
(/.f64 (/.f64 (*.f64 n -2) (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2))
(/.f64 (/.f64 -2 (sqrt.f64 (/.f64 f n))) (sqrt.f64 (/.f64 f n)))
(/.f64 (/.f64 -2 (*.f64 (cbrt.f64 (/.f64 f n)) (cbrt.f64 (/.f64 f n)))) (cbrt.f64 (/.f64 f n)))
(/.f64 (/.f64 -2 (/.f64 1 (sqrt.f64 n))) (/.f64 f (sqrt.f64 n)))
(/.f64 (/.f64 -2 (/.f64 1 (pow.f64 (cbrt.f64 n) 2))) (/.f64 f (cbrt.f64 n)))
(/.f64 (/.f64 -2 (/.f64 (sqrt.f64 f) 1)) (/.f64 (sqrt.f64 f) n))
(/.f64 (/.f64 -2 (/.f64 (sqrt.f64 f) (sqrt.f64 n))) (/.f64 (sqrt.f64 f) (sqrt.f64 n)))
(/.f64 (/.f64 -2 (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 n) 2))) (/.f64 (sqrt.f64 f) (cbrt.f64 n)))
(/.f64 (/.f64 -2 (/.f64 (pow.f64 (cbrt.f64 f) 2) 1)) (/.f64 (cbrt.f64 f) n))
(/.f64 (/.f64 -2 (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 n))) (/.f64 (cbrt.f64 f) (sqrt.f64 n)))
(/.f64 (/.f64 -2 (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 n) 2))) (/.f64 (cbrt.f64 f) (cbrt.f64 n)))
(/.f64 (/.f64 (*.f64 -2 (neg.f64 n)) 1) (neg.f64 f))
(/.f64 (/.f64 (*.f64 -2 (neg.f64 n)) (sqrt.f64 f)) (neg.f64 (sqrt.f64 f)))
(/.f64 (/.f64 (*.f64 -2 (neg.f64 n)) (pow.f64 (cbrt.f64 f) 2)) (neg.f64 (cbrt.f64 f)))
(/.f64 (/.f64 (*.f64 -2 (neg.f64 n)) (sqrt.f64 (neg.f64 f))) (sqrt.f64 (neg.f64 f)))
(/.f64 (/.f64 (*.f64 -2 (neg.f64 n)) (*.f64 (cbrt.f64 (neg.f64 f)) (cbrt.f64 (neg.f64 f)))) (cbrt.f64 (neg.f64 f)))
(/.f64 (/.f64 (*.f64 -2 (neg.f64 n)) -1) f)
(/.f64 (/.f64 (*.f64 -2 (neg.f64 n)) (neg.f64 (sqrt.f64 f))) (sqrt.f64 f))
(/.f64 (/.f64 (*.f64 -2 (neg.f64 n)) (neg.f64 (pow.f64 (cbrt.f64 f) 2))) (cbrt.f64 f))
(/.f64 (/.f64 (*.f64 (neg.f64 n) -2) 1) (neg.f64 f))
(/.f64 (/.f64 (*.f64 (neg.f64 n) -2) (sqrt.f64 f)) (neg.f64 (sqrt.f64 f)))
(/.f64 (/.f64 (*.f64 (neg.f64 n) -2) (pow.f64 (cbrt.f64 f) 2)) (neg.f64 (cbrt.f64 f)))
(/.f64 (/.f64 (*.f64 (neg.f64 n) -2) (sqrt.f64 (neg.f64 f))) (sqrt.f64 (neg.f64 f)))
(/.f64 (/.f64 (*.f64 (neg.f64 n) -2) (*.f64 (cbrt.f64 (neg.f64 f)) (cbrt.f64 (neg.f64 f)))) (cbrt.f64 (neg.f64 f)))
(/.f64 (/.f64 (*.f64 (neg.f64 n) -2) -1) f)
(/.f64 (/.f64 (*.f64 (neg.f64 n) -2) (neg.f64 (sqrt.f64 f))) (sqrt.f64 f))
(/.f64 (/.f64 (*.f64 (neg.f64 n) -2) (neg.f64 (pow.f64 (cbrt.f64 f) 2))) (cbrt.f64 f))
(/.f64 (/.f64 (/.f64 n -1/2) 1) f)
(/.f64 (/.f64 (/.f64 n -1/2) (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2))
(/.f64 (/.f64 (/.f64 n (/.f64 (sqrt.f64 f) -2)) 1) (sqrt.f64 f))
(/.f64 (/.f64 (/.f64 n (/.f64 (sqrt.f64 f) -2)) (cbrt.f64 f)) (cbrt.f64 (sqrt.f64 f)))
(/.f64 (/.f64 (/.f64 n (/.f64 (sqrt.f64 f) -2)) (sqrt.f64 (pow.f64 (cbrt.f64 f) 2))) (sqrt.f64 (cbrt.f64 f)))
(/.f64 (/.f64 (/.f64 n (/.f64 (sqrt.f64 f) -2)) (sqrt.f64 (sqrt.f64 f))) (sqrt.f64 (sqrt.f64 f)))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 f) 2) -2)) 1) (cbrt.f64 f))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 f) 2) -2)) (sqrt.f64 (cbrt.f64 f))) (sqrt.f64 (cbrt.f64 f)))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 f) 2) -2)) (cbrt.f64 (pow.f64 (cbrt.f64 f) 2))) (cbrt.f64 (cbrt.f64 f)))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 f) 2) -2)) (cbrt.f64 (sqrt.f64 f))) (cbrt.f64 (sqrt.f64 f)))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 f) 2) -2)) (*.f64 (cbrt.f64 (cbrt.f64 f)) (cbrt.f64 (cbrt.f64 f)))) (cbrt.f64 (cbrt.f64 f)))
(/.f64 (/.f64 (neg.f64 (*.f64 n -2)) 1) (neg.f64 f))
(/.f64 (/.f64 (neg.f64 (*.f64 n -2)) (sqrt.f64 f)) (neg.f64 (sqrt.f64 f)))
(/.f64 (/.f64 (neg.f64 (*.f64 n -2)) (pow.f64 (cbrt.f64 f) 2)) (neg.f64 (cbrt.f64 f)))
(/.f64 (/.f64 (neg.f64 (*.f64 n -2)) (sqrt.f64 (neg.f64 f))) (sqrt.f64 (neg.f64 f)))
(/.f64 (/.f64 (neg.f64 (*.f64 n -2)) (*.f64 (cbrt.f64 (neg.f64 f)) (cbrt.f64 (neg.f64 f)))) (cbrt.f64 (neg.f64 f)))
(/.f64 (/.f64 (neg.f64 (*.f64 n -2)) -1) f)
(/.f64 (/.f64 (neg.f64 (*.f64 n -2)) (neg.f64 (sqrt.f64 f))) (sqrt.f64 f))
(/.f64 (/.f64 (neg.f64 (*.f64 n -2)) (neg.f64 (pow.f64 (cbrt.f64 f) 2))) (cbrt.f64 f))
(pow.f64 (*.f64 (/.f64 n f) -2) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 n f) -2)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 n f) -2)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 n f) -2) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4))
(log.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 n f) -2))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 n f) -2) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 n f) -2)))
(exp.f64 (log.f64 (*.f64 (/.f64 n f) -2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 n f) -2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 n f) -2)))
Outputs
(*.f64 -1 (/.f64 n f))
(/.f64 (neg.f64 n) f)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (neg.f64 n) f))
(-.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2)) (/.f64 n f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (neg.f64 n) f))
(-.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2)) (/.f64 n f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (neg.f64 n) f))
(-.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2)) (/.f64 n f))
(*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(*.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)))
(*.f64 -2 (pow.f64 (/.f64 n f) 2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (neg.f64 n) f))
(-.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2)) (/.f64 n f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (neg.f64 n) f))
(-.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2)) (/.f64 n f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (neg.f64 n) f))
(-.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2)) (/.f64 n f))
(*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(*.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)))
(*.f64 -2 (pow.f64 (/.f64 n f) 2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (neg.f64 n) f))
(-.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2)) (/.f64 n f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (neg.f64 n) f))
(-.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2)) (/.f64 n f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (neg.f64 n) f))
(-.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2)) (/.f64 n f))
(*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(*.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)))
(*.f64 -2 (pow.f64 (/.f64 n f) 2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (neg.f64 n) f))
(-.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2)) (/.f64 n f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (neg.f64 n) f))
(-.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2)) (/.f64 n f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (neg.f64 n) f))
(-.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2)) (/.f64 n f))
(*.f64 -1 (/.f64 n f))
(/.f64 (neg.f64 n) f)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (neg.f64 n) f))
(-.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2)) (/.f64 n f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (neg.f64 n) f))
(-.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2)) (/.f64 n f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (neg.f64 n) f))
(-.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2)) (/.f64 n f))
(*.f64 -1 (/.f64 n f))
(/.f64 (neg.f64 n) f)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (neg.f64 n) f))
(-.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2)) (/.f64 n f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (neg.f64 n) f))
(-.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2)) (/.f64 n f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (neg.f64 n) f))
(-.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2)) (/.f64 n f))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(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)
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(/.f64 -2 (*.f64 (cbrt.f64 (/.f64 f n)) (*.f64 (cbrt.f64 (/.f64 f n)) (cbrt.f64 (/.f64 f n)))))
(/.f64 (/.f64 -2 (/.f64 1 (sqrt.f64 n))) (/.f64 f (sqrt.f64 n)))
(*.f64 (/.f64 (*.f64 -2 (sqrt.f64 n)) f) (sqrt.f64 n))
(*.f64 (sqrt.f64 n) (*.f64 (/.f64 -2 f) (sqrt.f64 n)))
(/.f64 (/.f64 -2 (/.f64 1 (pow.f64 (cbrt.f64 n) 2))) (/.f64 f (cbrt.f64 n)))
(/.f64 (*.f64 -2 (pow.f64 (cbrt.f64 n) 2)) (/.f64 f (cbrt.f64 n)))
(*.f64 (cbrt.f64 n) (*.f64 (/.f64 -2 f) (pow.f64 (cbrt.f64 n) 2)))
(/.f64 (/.f64 -2 (/.f64 (sqrt.f64 f) 1)) (/.f64 (sqrt.f64 f) n))
(/.f64 (*.f64 (/.f64 n (sqrt.f64 f)) -2) (sqrt.f64 f))
(/.f64 n (*.f64 (sqrt.f64 f) (/.f64 (sqrt.f64 f) -2)))
(/.f64 (/.f64 -2 (/.f64 (sqrt.f64 f) (sqrt.f64 n))) (/.f64 (sqrt.f64 f) (sqrt.f64 n)))
(/.f64 (*.f64 (/.f64 -2 (sqrt.f64 f)) (sqrt.f64 n)) (/.f64 (sqrt.f64 f) (sqrt.f64 n)))
(/.f64 -2 (*.f64 (/.f64 (sqrt.f64 f) (sqrt.f64 n)) (/.f64 (sqrt.f64 f) (sqrt.f64 n))))
(/.f64 (/.f64 -2 (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 n) 2))) (/.f64 (sqrt.f64 f) (cbrt.f64 n)))
(*.f64 (/.f64 (*.f64 (/.f64 -2 (sqrt.f64 f)) (pow.f64 (cbrt.f64 n) 2)) (sqrt.f64 f)) (cbrt.f64 n))
(/.f64 -2 (*.f64 (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 f) (cbrt.f64 n))))
(/.f64 (/.f64 -2 (/.f64 (pow.f64 (cbrt.f64 f) 2) 1)) (/.f64 (cbrt.f64 f) n))
(/.f64 -2 (*.f64 (/.f64 (cbrt.f64 f) n) (pow.f64 (cbrt.f64 f) 2)))
(/.f64 -2 (*.f64 (cbrt.f64 f) (/.f64 (pow.f64 (cbrt.f64 f) 2) n)))
(/.f64 (/.f64 -2 (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 n))) (/.f64 (cbrt.f64 f) (sqrt.f64 n)))
(/.f64 -2 (*.f64 (/.f64 (cbrt.f64 f) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 n))))
(*.f64 (sqrt.f64 n) (/.f64 (/.f64 (*.f64 -2 (sqrt.f64 n)) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f)))
(/.f64 (/.f64 -2 (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 n) 2))) (/.f64 (cbrt.f64 f) (cbrt.f64 n)))
(/.f64 (*.f64 (/.f64 -2 (pow.f64 (cbrt.f64 f) 2)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (cbrt.f64 f) (cbrt.f64 n)))
(*.f64 (cbrt.f64 n) (/.f64 (*.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 -2 (pow.f64 (cbrt.f64 f) 2))) (cbrt.f64 f)))
(/.f64 (/.f64 (*.f64 -2 (neg.f64 n)) 1) (neg.f64 f))
(/.f64 n (/.f64 f -2))
(/.f64 (/.f64 (*.f64 -2 (neg.f64 n)) (sqrt.f64 f)) (neg.f64 (sqrt.f64 f)))
(/.f64 (*.f64 n 2) (*.f64 (neg.f64 (sqrt.f64 f)) (sqrt.f64 f)))
(/.f64 (*.f64 n 2) (*.f64 (sqrt.f64 f) (neg.f64 (sqrt.f64 f))))
(/.f64 (/.f64 (*.f64 -2 (neg.f64 n)) (pow.f64 (cbrt.f64 f) 2)) (neg.f64 (cbrt.f64 f)))
(/.f64 (*.f64 n 2) (*.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2)))
(/.f64 (/.f64 (*.f64 n 2) (pow.f64 (cbrt.f64 f) 2)) (neg.f64 (cbrt.f64 f)))
(/.f64 (/.f64 (*.f64 -2 (neg.f64 n)) (sqrt.f64 (neg.f64 f))) (sqrt.f64 (neg.f64 f)))
(/.f64 (*.f64 n 2) (*.f64 (sqrt.f64 (neg.f64 f)) (sqrt.f64 (neg.f64 f))))
(/.f64 (/.f64 (*.f64 -2 (neg.f64 n)) (*.f64 (cbrt.f64 (neg.f64 f)) (cbrt.f64 (neg.f64 f)))) (cbrt.f64 (neg.f64 f)))
(/.f64 (*.f64 n 2) (*.f64 (cbrt.f64 (neg.f64 f)) (*.f64 (cbrt.f64 (neg.f64 f)) (cbrt.f64 (neg.f64 f)))))
(/.f64 (/.f64 (*.f64 n 2) (*.f64 (cbrt.f64 (neg.f64 f)) (cbrt.f64 (neg.f64 f)))) (cbrt.f64 (neg.f64 f)))
(/.f64 (/.f64 (*.f64 -2 (neg.f64 n)) -1) f)
(/.f64 n (/.f64 f -2))
(/.f64 (/.f64 (*.f64 -2 (neg.f64 n)) (neg.f64 (sqrt.f64 f))) (sqrt.f64 f))
(/.f64 (*.f64 n 2) (*.f64 (neg.f64 (sqrt.f64 f)) (sqrt.f64 f)))
(/.f64 (*.f64 n 2) (*.f64 (sqrt.f64 f) (neg.f64 (sqrt.f64 f))))
(/.f64 (/.f64 (*.f64 -2 (neg.f64 n)) (neg.f64 (pow.f64 (cbrt.f64 f) 2))) (cbrt.f64 f))
(/.f64 (*.f64 n 2) (*.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2)))
(/.f64 (/.f64 (*.f64 n 2) (pow.f64 (cbrt.f64 f) 2)) (neg.f64 (cbrt.f64 f)))
(/.f64 (/.f64 (*.f64 (neg.f64 n) -2) 1) (neg.f64 f))
(/.f64 n (/.f64 f -2))
(/.f64 (/.f64 (*.f64 (neg.f64 n) -2) (sqrt.f64 f)) (neg.f64 (sqrt.f64 f)))
(/.f64 (*.f64 n 2) (*.f64 (neg.f64 (sqrt.f64 f)) (sqrt.f64 f)))
(/.f64 (*.f64 n 2) (*.f64 (sqrt.f64 f) (neg.f64 (sqrt.f64 f))))
(/.f64 (/.f64 (*.f64 (neg.f64 n) -2) (pow.f64 (cbrt.f64 f) 2)) (neg.f64 (cbrt.f64 f)))
(/.f64 (*.f64 n 2) (*.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2)))
(/.f64 (/.f64 (*.f64 n 2) (pow.f64 (cbrt.f64 f) 2)) (neg.f64 (cbrt.f64 f)))
(/.f64 (/.f64 (*.f64 (neg.f64 n) -2) (sqrt.f64 (neg.f64 f))) (sqrt.f64 (neg.f64 f)))
(/.f64 (*.f64 n 2) (*.f64 (sqrt.f64 (neg.f64 f)) (sqrt.f64 (neg.f64 f))))
(/.f64 (/.f64 (*.f64 (neg.f64 n) -2) (*.f64 (cbrt.f64 (neg.f64 f)) (cbrt.f64 (neg.f64 f)))) (cbrt.f64 (neg.f64 f)))
(/.f64 (*.f64 n 2) (*.f64 (cbrt.f64 (neg.f64 f)) (*.f64 (cbrt.f64 (neg.f64 f)) (cbrt.f64 (neg.f64 f)))))
(/.f64 (/.f64 (*.f64 n 2) (*.f64 (cbrt.f64 (neg.f64 f)) (cbrt.f64 (neg.f64 f)))) (cbrt.f64 (neg.f64 f)))
(/.f64 (/.f64 (*.f64 (neg.f64 n) -2) -1) f)
(/.f64 n (/.f64 f -2))
(/.f64 (/.f64 (*.f64 (neg.f64 n) -2) (neg.f64 (sqrt.f64 f))) (sqrt.f64 f))
(/.f64 (*.f64 n 2) (*.f64 (neg.f64 (sqrt.f64 f)) (sqrt.f64 f)))
(/.f64 (*.f64 n 2) (*.f64 (sqrt.f64 f) (neg.f64 (sqrt.f64 f))))
(/.f64 (/.f64 (*.f64 (neg.f64 n) -2) (neg.f64 (pow.f64 (cbrt.f64 f) 2))) (cbrt.f64 f))
(/.f64 (*.f64 n 2) (*.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2)))
(/.f64 (/.f64 (*.f64 n 2) (pow.f64 (cbrt.f64 f) 2)) (neg.f64 (cbrt.f64 f)))
(/.f64 (/.f64 (/.f64 n -1/2) 1) f)
(/.f64 n (/.f64 f -2))
(/.f64 (/.f64 (/.f64 n -1/2) (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2))
(/.f64 (/.f64 n (*.f64 (cbrt.f64 f) -1/2)) (pow.f64 (cbrt.f64 f) 2))
(/.f64 (/.f64 (/.f64 n (/.f64 (sqrt.f64 f) -2)) 1) (sqrt.f64 f))
(/.f64 (*.f64 (/.f64 n (sqrt.f64 f)) -2) (sqrt.f64 f))
(/.f64 n (*.f64 (sqrt.f64 f) (/.f64 (sqrt.f64 f) -2)))
(/.f64 (/.f64 (/.f64 n (/.f64 (sqrt.f64 f) -2)) (cbrt.f64 f)) (cbrt.f64 (sqrt.f64 f)))
(/.f64 (*.f64 (/.f64 n (sqrt.f64 f)) -2) (*.f64 (cbrt.f64 (sqrt.f64 f)) (cbrt.f64 f)))
(/.f64 (*.f64 -2 (/.f64 n (sqrt.f64 f))) (*.f64 (cbrt.f64 f) (cbrt.f64 (sqrt.f64 f))))
(/.f64 (/.f64 (/.f64 n (/.f64 (sqrt.f64 f) -2)) (sqrt.f64 (pow.f64 (cbrt.f64 f) 2))) (sqrt.f64 (cbrt.f64 f)))
(/.f64 (*.f64 (/.f64 n (sqrt.f64 f)) -2) (*.f64 (sqrt.f64 (cbrt.f64 f)) (sqrt.f64 (pow.f64 (cbrt.f64 f) 2))))
(/.f64 (/.f64 (*.f64 -2 (/.f64 n (sqrt.f64 f))) (sqrt.f64 (cbrt.f64 f))) (sqrt.f64 (pow.f64 (cbrt.f64 f) 2)))
(/.f64 (/.f64 (/.f64 n (/.f64 (sqrt.f64 f) -2)) (sqrt.f64 (sqrt.f64 f))) (sqrt.f64 (sqrt.f64 f)))
(/.f64 (*.f64 (/.f64 n (sqrt.f64 f)) -2) (*.f64 (sqrt.f64 (sqrt.f64 f)) (sqrt.f64 (sqrt.f64 f))))
(/.f64 (*.f64 -2 (/.f64 n (sqrt.f64 f))) (*.f64 (sqrt.f64 (sqrt.f64 f)) (sqrt.f64 (sqrt.f64 f))))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 f) 2) -2)) 1) (cbrt.f64 f))
(/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 f) 2) -2)) (cbrt.f64 f))
(/.f64 (/.f64 (*.f64 n -2) (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 f) 2) -2)) (sqrt.f64 (cbrt.f64 f))) (sqrt.f64 (cbrt.f64 f)))
(/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 f) 2) -2)) (*.f64 (sqrt.f64 (cbrt.f64 f)) (sqrt.f64 (cbrt.f64 f))))
(/.f64 (*.f64 -2 (/.f64 n (pow.f64 (cbrt.f64 f) 2))) (*.f64 (sqrt.f64 (cbrt.f64 f)) (sqrt.f64 (cbrt.f64 f))))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 f) 2) -2)) (cbrt.f64 (pow.f64 (cbrt.f64 f) 2))) (cbrt.f64 (cbrt.f64 f)))
(/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 f) 2) -2)) (*.f64 (cbrt.f64 (cbrt.f64 f)) (cbrt.f64 (pow.f64 (cbrt.f64 f) 2))))
(/.f64 (*.f64 -2 (/.f64 n (pow.f64 (cbrt.f64 f) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (cbrt.f64 f))))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 f) 2) -2)) (cbrt.f64 (sqrt.f64 f))) (cbrt.f64 (sqrt.f64 f)))
(/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 f) 2) -2)) (*.f64 (cbrt.f64 (sqrt.f64 f)) (cbrt.f64 (sqrt.f64 f))))
(/.f64 (*.f64 -2 (/.f64 n (pow.f64 (cbrt.f64 f) 2))) (*.f64 (cbrt.f64 (sqrt.f64 f)) (cbrt.f64 (sqrt.f64 f))))
(/.f64 (/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 f) 2) -2)) (*.f64 (cbrt.f64 (cbrt.f64 f)) (cbrt.f64 (cbrt.f64 f)))) (cbrt.f64 (cbrt.f64 f)))
(/.f64 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 f) 2) -2)) (*.f64 (cbrt.f64 (cbrt.f64 f)) (*.f64 (cbrt.f64 (cbrt.f64 f)) (cbrt.f64 (cbrt.f64 f)))))
(/.f64 (*.f64 -2 (/.f64 n (pow.f64 (cbrt.f64 f) 2))) (*.f64 (cbrt.f64 (cbrt.f64 f)) (*.f64 (cbrt.f64 (cbrt.f64 f)) (cbrt.f64 (cbrt.f64 f)))))
(/.f64 (/.f64 (neg.f64 (*.f64 n -2)) 1) (neg.f64 f))
(/.f64 n (/.f64 f -2))
(/.f64 (/.f64 (neg.f64 (*.f64 n -2)) (sqrt.f64 f)) (neg.f64 (sqrt.f64 f)))
(/.f64 (*.f64 n 2) (*.f64 (neg.f64 (sqrt.f64 f)) (sqrt.f64 f)))
(/.f64 (*.f64 n 2) (*.f64 (sqrt.f64 f) (neg.f64 (sqrt.f64 f))))
(/.f64 (/.f64 (neg.f64 (*.f64 n -2)) (pow.f64 (cbrt.f64 f) 2)) (neg.f64 (cbrt.f64 f)))
(/.f64 (*.f64 n 2) (*.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2)))
(/.f64 (/.f64 (*.f64 n 2) (pow.f64 (cbrt.f64 f) 2)) (neg.f64 (cbrt.f64 f)))
(/.f64 (/.f64 (neg.f64 (*.f64 n -2)) (sqrt.f64 (neg.f64 f))) (sqrt.f64 (neg.f64 f)))
(/.f64 (*.f64 n 2) (*.f64 (sqrt.f64 (neg.f64 f)) (sqrt.f64 (neg.f64 f))))
(/.f64 (/.f64 (neg.f64 (*.f64 n -2)) (*.f64 (cbrt.f64 (neg.f64 f)) (cbrt.f64 (neg.f64 f)))) (cbrt.f64 (neg.f64 f)))
(/.f64 (*.f64 n 2) (*.f64 (cbrt.f64 (neg.f64 f)) (*.f64 (cbrt.f64 (neg.f64 f)) (cbrt.f64 (neg.f64 f)))))
(/.f64 (/.f64 (*.f64 n 2) (*.f64 (cbrt.f64 (neg.f64 f)) (cbrt.f64 (neg.f64 f)))) (cbrt.f64 (neg.f64 f)))
(/.f64 (/.f64 (neg.f64 (*.f64 n -2)) -1) f)
(/.f64 n (/.f64 f -2))
(/.f64 (/.f64 (neg.f64 (*.f64 n -2)) (neg.f64 (sqrt.f64 f))) (sqrt.f64 f))
(/.f64 (*.f64 n 2) (*.f64 (neg.f64 (sqrt.f64 f)) (sqrt.f64 f)))
(/.f64 (*.f64 n 2) (*.f64 (sqrt.f64 f) (neg.f64 (sqrt.f64 f))))
(/.f64 (/.f64 (neg.f64 (*.f64 n -2)) (neg.f64 (pow.f64 (cbrt.f64 f) 2))) (cbrt.f64 f))
(/.f64 (*.f64 n 2) (*.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2)))
(/.f64 (/.f64 (*.f64 n 2) (pow.f64 (cbrt.f64 f) 2)) (neg.f64 (cbrt.f64 f)))
(pow.f64 (*.f64 (/.f64 n f) -2) 1)
(/.f64 n (/.f64 f -2))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 n f) -2)) 2)
(pow.f64 (sqrt.f64 (/.f64 n (/.f64 f -2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 n f) -2)) 3)
(/.f64 n (/.f64 f -2))
(pow.f64 (pow.f64 (*.f64 (/.f64 n f) -2) 3) 1/3)
(/.f64 n (/.f64 f -2))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4))
(log.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2))
(*.f64 -2 (log.f64 (exp.f64 (/.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 n f) -2))))
(/.f64 n (/.f64 f -2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 n f) -2) 3))
(/.f64 n (/.f64 f -2))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 n f) -2)))
(/.f64 n (/.f64 f -2))
(exp.f64 (log.f64 (*.f64 (/.f64 n f) -2)))
(/.f64 n (/.f64 f -2))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 n f) -2)) 1))
(/.f64 n (/.f64 f -2))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 n f) -2)))
(/.f64 n (/.f64 f -2))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
✓0.1b
(exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
✓1.6b
(log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
Compiler

Compiled 46 to 10 computations (78.3% saved)

series12.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
f
@inf
(log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms
n
@0
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
1.0ms
n
@0
(log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
1.0ms
f
@-inf
(exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
1.0ms
n
@inf
(exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

rewrite105.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1502×associate-/r*
1162×distribute-lft-in
1086×associate-/l*
894×associate-/r/
548×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01269
126467
2349167
Stop Event
1×node limit
Counts
3 → 267
Calls
Call 1
Inputs
(log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
(exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) 1) (fma.f64 f f (*.f64 n (-.f64 n f)))) (-.f64 n f))))) (#(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 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)))) (#(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 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)))) (#(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) (-.f64 f n)))))) (#(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 exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) (sqrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) -1)))))

simplify212.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1118×associate-*r*
1012×*-commutative
938×associate-*l*
912×associate-/l*
864×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094222531
1293222171
Stop Event
1×node limit
Counts
339 → 619
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (/.f64 f n) (log.f64 2))
(+.f64 (/.f64 f n) (+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (/.f64 f n) (+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (-.f64 (*.f64 -1 n) n)))
(+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (-.f64 (*.f64 -1 n) n))))
(+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 1 f)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -1 (pow.f64 n 2))) (pow.f64 f 2))) (log.f64 (-.f64 (*.f64 -1 n) n)))))
(+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 1 f)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -1 (pow.f64 n 2))) (pow.f64 f 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 6 (pow.f64 n 3)) (+.f64 (*.f64 -6 (pow.f64 n 3)) (*.f64 2 (pow.f64 n 3)))) (pow.f64 f 3))) (log.f64 (-.f64 (*.f64 -1 n) n))))))
(+.f64 (log.f64 (-.f64 n (*.f64 -1 n))) (log.f64 (/.f64 -1 f)))
(+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (-.f64 n (*.f64 -1 n)))))
(+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 -1 f)) (+.f64 (log.f64 (-.f64 n (*.f64 -1 n))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -1 (pow.f64 n 2))) (pow.f64 f 2))))))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (pow.f64 n 3)) (+.f64 (*.f64 -6 (pow.f64 n 3)) (*.f64 -2 (pow.f64 n 3)))) (pow.f64 f 3))) (+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 -1 f)) (+.f64 (log.f64 (-.f64 n (*.f64 -1 n))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -1 (pow.f64 n 2))) (pow.f64 f 2)))))))
(+.f64 (log.f64 n) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 f)))))
(+.f64 (/.f64 n f) (+.f64 (log.f64 n) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 f))))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (/.f64 n f) (+.f64 (log.f64 n) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 f)))))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (/.f64 n f) (+.f64 (log.f64 n) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 f))))))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (pow.f64 n 2)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (+.f64 (*.f64 -3/2 (*.f64 f (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (*.f64 3 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2))))) (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (pow.f64 n 2))))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (pow.f64 n 2)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (+.f64 (*.f64 -3 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2))) (*.f64 3/2 (*.f64 f (pow.f64 (-.f64 f (*.f64 -1 f)) 2))))) (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 f (*.f64 -1 f)) n)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (*.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (pow.f64 n 2))))))
2
(+.f64 (*.f64 2 (/.f64 f n)) 2)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 2 (*.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 2 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(exp.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (-.f64 (*.f64 -1 n) n))))
(+.f64 (/.f64 (*.f64 n (exp.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (-.f64 (*.f64 -1 n) n))))) f) (exp.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (-.f64 (*.f64 -1 n) n)))))
(+.f64 (/.f64 (*.f64 n (exp.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (-.f64 (*.f64 -1 n) n))))) f) (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (-.f64 (*.f64 -1 n) n)))) (/.f64 (*.f64 (+.f64 (*.f64 1/2 (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -1 (pow.f64 n 2)))) (*.f64 1/2 (pow.f64 n 2))) (exp.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (-.f64 (*.f64 -1 n) n))))) (pow.f64 f 2))))
(+.f64 (/.f64 (*.f64 n (exp.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (-.f64 (*.f64 -1 n) n))))) f) (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (-.f64 (*.f64 -1 n) n)))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -1 (pow.f64 n 2)))) (*.f64 1/2 (pow.f64 n 2))) (exp.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (-.f64 (*.f64 -1 n) n))))) (pow.f64 f 2)) (/.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (-.f64 (*.f64 -1 n) n)))) (+.f64 (*.f64 1/6 (pow.f64 n 3)) (+.f64 (*.f64 1/6 (+.f64 (*.f64 6 (pow.f64 n 3)) (+.f64 (*.f64 -6 (pow.f64 n 3)) (*.f64 2 (pow.f64 n 3))))) (*.f64 1/2 (*.f64 n (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -1 (pow.f64 n 2)))))))) (pow.f64 f 3)))))
(exp.f64 (+.f64 (log.f64 (-.f64 n (*.f64 -1 n))) (log.f64 (/.f64 -1 f))))
(+.f64 (exp.f64 (+.f64 (log.f64 (-.f64 n (*.f64 -1 n))) (log.f64 (/.f64 -1 f)))) (/.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (-.f64 n (*.f64 -1 n))) (log.f64 (/.f64 -1 f)))) n) f))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -1 (pow.f64 n 2)))) (*.f64 1/2 (pow.f64 n 2))) (exp.f64 (+.f64 (log.f64 (-.f64 n (*.f64 -1 n))) (log.f64 (/.f64 -1 f))))) (pow.f64 f 2)) (+.f64 (exp.f64 (+.f64 (log.f64 (-.f64 n (*.f64 -1 n))) (log.f64 (/.f64 -1 f)))) (/.f64 (*.f64 n (exp.f64 (+.f64 (log.f64 (-.f64 n (*.f64 -1 n))) (log.f64 (/.f64 -1 f))))) f)))
(+.f64 (exp.f64 (+.f64 (log.f64 (-.f64 n (*.f64 -1 n))) (log.f64 (/.f64 -1 f)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (-.f64 n (*.f64 -1 n))) (log.f64 (/.f64 -1 f)))) (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 (*.f64 -1/2 (*.f64 n (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -1 (pow.f64 n 2))))) (*.f64 1/6 (+.f64 (*.f64 6 (pow.f64 n 3)) (+.f64 (*.f64 -6 (pow.f64 n 3)) (*.f64 -2 (pow.f64 n 3)))))))) (pow.f64 f 3))) (+.f64 (/.f64 (*.f64 n (exp.f64 (+.f64 (log.f64 (-.f64 n (*.f64 -1 n))) (log.f64 (/.f64 -1 f))))) f) (/.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (-.f64 n (*.f64 -1 n))) (log.f64 (/.f64 -1 f)))) (+.f64 (*.f64 1/2 (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -1 (pow.f64 n 2)))) (*.f64 1/2 (pow.f64 n 2)))) (pow.f64 f 2)))))
(exp.f64 (+.f64 (log.f64 n) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 f))))))
(+.f64 (/.f64 (*.f64 n (exp.f64 (+.f64 (log.f64 n) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 f))))))) f) (exp.f64 (+.f64 (log.f64 n) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 f)))))))
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (+.f64 (log.f64 n) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 f))))))) (pow.f64 f 2)) (+.f64 (/.f64 (*.f64 n (exp.f64 (+.f64 (log.f64 n) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 f))))))) f) (exp.f64 (+.f64 (log.f64 n) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 f))))))))
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (+.f64 (log.f64 n) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 f))))))) (pow.f64 f 2)) (+.f64 (/.f64 (*.f64 n (exp.f64 (+.f64 (log.f64 n) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 f))))))) f) (+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (+.f64 (log.f64 n) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 f))))))) (pow.f64 f 3)) (exp.f64 (+.f64 (log.f64 n) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 f)))))))))
2
(-.f64 (+.f64 2 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 2 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (*.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (*.f64 f (-.f64 f (*.f64 -1 f)))))) (pow.f64 n 2))))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 2 (+.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (+.f64 (*.f64 -3/2 (*.f64 f (pow.f64 (-.f64 f (*.f64 -1 f)) 2))) (*.f64 3 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)))))) (+.f64 (*.f64 1/4 (*.f64 (-.f64 f (*.f64 -1 f)) (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (*.f64 f (-.f64 f (*.f64 -1 f)))))) (*.f64 1/48 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)))) (pow.f64 n 3))) (*.f64 2 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (*.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (*.f64 f (-.f64 f (*.f64 -1 f)))))) (pow.f64 n 2)))))) (*.f64 -1 (/.f64 f n)))
2
(-.f64 (+.f64 2 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 2 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (*.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (*.f64 f (-.f64 f (*.f64 -1 f)))))) (pow.f64 n 2))))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 2 (+.f64 (/.f64 f n) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/48 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 3)) (+.f64 (*.f64 -3 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2))) (*.f64 3/2 (*.f64 f (pow.f64 (-.f64 f (*.f64 -1 f)) 2)))))) (*.f64 -1/4 (*.f64 (-.f64 f (*.f64 -1 f)) (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (*.f64 f (-.f64 f (*.f64 -1 f)))))))) (pow.f64 n 3))) (*.f64 2 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (*.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 f (*.f64 -1 f)) 2)) (*.f64 f (-.f64 f (*.f64 -1 f)))))) (pow.f64 n 2)))))) (*.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))))))
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (-.f64 (*.f64 -1 n) n)))) 1)
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(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2) (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2)) 1) (*.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (+.f64 1 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 f 3) 3) (pow.f64 (pow.f64 n 3) 3)) (*.f64 (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f)))) (+.f64 (*.f64 (pow.f64 f 3) (pow.f64 f 3)) (-.f64 (*.f64 (pow.f64 n 3) (pow.f64 n 3)) (*.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 3) 3) 1) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2) (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 3) (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 3)) (+.f64 1 (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 3) 1)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 3) 3) 1) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2) (-.f64 1 (*.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) -1))) (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 3) (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 3)) (+.f64 1 (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 3) 1)))))
(/.f64 (-.f64 (pow.f64 (*.f64 f f) 3) (pow.f64 (*.f64 n n) 3)) (*.f64 (*.f64 (-.f64 n f) (-.f64 f n)) (+.f64 (*.f64 (*.f64 f f) (*.f64 f f)) (+.f64 (*.f64 (*.f64 n n) (*.f64 n n)) (*.f64 (*.f64 f f) (*.f64 n n))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2) 3) 1) (*.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2) (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2)) (+.f64 1 (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2) 1)))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 f n)) 1) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 f n))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (cbrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 f n))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 f n))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (sqrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (cbrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 f n))))
(/.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) 1) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) 1) (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2) -1)) (neg.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2) (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))))
(/.f64 (neg.f64 (-.f64 (neg.f64 f) n)) (neg.f64 (-.f64 f n)))
(/.f64 (/.f64 (+.f64 f n) (/.f64 (-.f64 n f) (-.f64 f n))) (-.f64 f n))
(/.f64 (/.f64 (+.f64 f n) (/.f64 (+.f64 f n) (/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (-.f64 n f)))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (+.f64 (sqrt.f64 n) (sqrt.f64 f))) (-.f64 (sqrt.f64 n) (sqrt.f64 f)))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))) (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))))) (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 f n))))
(/.f64 (/.f64 1 (/.f64 (-.f64 n f) (-.f64 (*.f64 f f) (*.f64 n n)))) (-.f64 f n))
(/.f64 (/.f64 1 (/.f64 (-.f64 n f) (+.f64 (pow.f64 f 3) (pow.f64 n 3)))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) 1)) (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 f n)))
(/.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 n f)) (-.f64 f n))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2) -1) 1) (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2) -1) (sqrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))) (sqrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2) -1) (*.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) (cbrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))) (cbrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (-.f64 n f)) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 3)) 1) (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2) (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2) (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2) (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2) (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2) (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2) (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) 1) (-.f64 f n))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (sqrt.f64 (-.f64 n f))) (neg.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (neg.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) -1) (-.f64 n f))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (sqrt.f64 (-.f64 f n))) (sqrt.f64 (-.f64 f n)))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (*.f64 (cbrt.f64 (-.f64 f n)) (cbrt.f64 (-.f64 f n)))) (cbrt.f64 (-.f64 f n)))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) 1) (-.f64 f n))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (sqrt.f64 (-.f64 f n))) (sqrt.f64 (-.f64 f n)))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (*.f64 (cbrt.f64 (-.f64 f n)) (cbrt.f64 (-.f64 f n)))) (cbrt.f64 (-.f64 f n)))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (+.f64 (sqrt.f64 n) (sqrt.f64 f))) (-.f64 (sqrt.f64 f) (sqrt.f64 n)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 1 (-.f64 n f))) 1) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 1 (-.f64 n f))) (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))) (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 1 (-.f64 n f))) (*.f64 (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))) (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))) (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) 1) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (cbrt.f64 (-.f64 n f))) (cbrt.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) 1) (cbrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 n f)))) (sqrt.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (cbrt.f64 (-.f64 n f))))) (cbrt.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 n f)))) (cbrt.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) 1) (-.f64 f n)) (-.f64 n f))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) 1) (fma.f64 f f (*.f64 n (-.f64 n f)))) (-.f64 n f))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(fma.f64 1 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) (sqrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) -1)
Outputs
(log.f64 2)
(+.f64 (/.f64 f n) (log.f64 2))
(+.f64 (log.f64 2) (/.f64 f n))
(+.f64 (/.f64 f n) (+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (/.f64 f n) (+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (*.f64 f f) (*.f64 n n)))))
(+.f64 (log.f64 2) (+.f64 (/.f64 f n) (/.f64 1/2 (/.f64 (*.f64 n n) (*.f64 f f)))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (/.f64 f n) (+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 1/3 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (/.f64 f n) (+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (*.f64 f f) (*.f64 n n))))))
(fma.f64 1/3 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (log.f64 2) (+.f64 (/.f64 f n) (/.f64 1/2 (/.f64 (*.f64 n n) (*.f64 f f))))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (-.f64 (*.f64 -1 n) n)))
(+.f64 (neg.f64 (log.f64 f)) (log.f64 (-.f64 (neg.f64 n) n)))
(+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (-.f64 (*.f64 -1 n) n))))
(+.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (-.f64 (neg.f64 n) n))) (/.f64 n f))
(+.f64 (neg.f64 (log.f64 f)) (+.f64 (log.f64 (-.f64 (neg.f64 n) n)) (/.f64 n f)))
(+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 1 f)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -1 (pow.f64 n 2))) (pow.f64 f 2))) (log.f64 (-.f64 (*.f64 -1 n) n)))))
(+.f64 (/.f64 n f) (+.f64 (neg.f64 (log.f64 f)) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 n n) 1) (*.f64 f f)) (log.f64 (-.f64 (neg.f64 n) n)))))
(+.f64 (/.f64 n f) (+.f64 (log.f64 (-.f64 (neg.f64 n) n)) (+.f64 (neg.f64 (log.f64 f)) (*.f64 1/2 (/.f64 (*.f64 n n) (*.f64 f f))))))
(+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 1 f)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -1 (pow.f64 n 2))) (pow.f64 f 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 6 (pow.f64 n 3)) (+.f64 (*.f64 -6 (pow.f64 n 3)) (*.f64 2 (pow.f64 n 3)))) (pow.f64 f 3))) (log.f64 (-.f64 (*.f64 -1 n) n))))))
(+.f64 (/.f64 n f) (+.f64 (neg.f64 (log.f64 f)) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 n n) 1) (*.f64 f f)) (fma.f64 1/6 (/.f64 (fma.f64 6 (pow.f64 n 3) (*.f64 (pow.f64 n 3) -4)) (pow.f64 f 3)) (log.f64 (-.f64 (neg.f64 n) n))))))
(+.f64 (/.f64 n f) (+.f64 (fma.f64 1/6 (/.f64 (fma.f64 6 (pow.f64 n 3) (*.f64 (pow.f64 n 3) -4)) (pow.f64 f 3)) (log.f64 (-.f64 (neg.f64 n) n))) (+.f64 (neg.f64 (log.f64 f)) (*.f64 1/2 (/.f64 (*.f64 n n) (*.f64 f f))))))
(+.f64 (log.f64 (-.f64 n (*.f64 -1 n))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (-.f64 n (neg.f64 n))) (log.f64 (/.f64 -1 f)))
(+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (-.f64 n (*.f64 -1 n)))))
(+.f64 (+.f64 (/.f64 n f) (log.f64 (/.f64 -1 f))) (log.f64 (-.f64 n (neg.f64 n))))
(+.f64 (log.f64 (-.f64 n (neg.f64 n))) (+.f64 (/.f64 n f) (log.f64 (/.f64 -1 f))))
(+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 -1 f)) (+.f64 (log.f64 (-.f64 n (*.f64 -1 n))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -1 (pow.f64 n 2))) (pow.f64 f 2))))))
(+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 -1 f)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (*.f64 n n) 1) (*.f64 f f))) (log.f64 (-.f64 n (neg.f64 n))))))
(+.f64 (/.f64 n f) (+.f64 (log.f64 (-.f64 n (neg.f64 n))) (+.f64 (log.f64 (/.f64 -1 f)) (*.f64 1/2 (/.f64 (*.f64 n n) (*.f64 f f))))))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (pow.f64 n 3)) (+.f64 (*.f64 -6 (pow.f64 n 3)) (*.f64 -2 (pow.f64 n 3)))) (pow.f64 f 3))) (+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 -1 f)) (+.f64 (log.f64 (-.f64 n (*.f64 -1 n))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -1 (pow.f64 n 2))) (pow.f64 f 2)))))))
(fma.f64 -1/6 (/.f64 (fma.f64 6 (pow.f64 n 3) (*.f64 (pow.f64 n 3) -8)) (pow.f64 f 3)) (+.f64 (/.f64 n f) (+.f64 (log.f64 (/.f64 -1 f)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (*.f64 n n) 1) (*.f64 f f))) (log.f64 (-.f64 n (neg.f64 n)))))))
(fma.f64 -1/6 (/.f64 (fma.f64 6 (pow.f64 n 3) (*.f64 (pow.f64 n 3) -8)) (pow.f64 f 3)) (+.f64 (/.f64 n f) (+.f64 (log.f64 (-.f64 n (neg.f64 n))) (+.f64 (log.f64 (/.f64 -1 f)) (*.f64 1/2 (/.f64 (*.f64 n n) (*.f64 f f)))))))
(+.f64 (log.f64 n) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 f)))))
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1
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1
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1
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(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(/.f64 (+.f64 f n) (-.f64 n f))
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(*.f64 (/.f64 -1 (-.f64 f n)) (+.f64 f n))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(/.f64 (+.f64 f n) (-.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(/.f64 (+.f64 f n) (-.f64 n f))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)))
(/.f64 (+.f64 f n) (-.f64 n f))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))
(/.f64 (+.f64 f n) (-.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(fma.f64 1 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) -1)
(/.f64 (+.f64 f n) (-.f64 n f))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) (sqrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) -1)
(/.f64 (+.f64 f n) (-.f64 n f))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) -1)
(/.f64 (+.f64 f n) (-.f64 n f))

eval1.1s (11.2%)

Compiler

Compiled 65382 to 27978 computations (57.2% saved)

prune958.0ms (9.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New240242406
Fresh123
Picked101
Done235
Total240692415
Error
0b
Counts
2415 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.3b
(/.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 n f)) (-.f64 f n))
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
▶31.2b
(-.f64 (/.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) f) (+.f64 1 (/.f64 n f)))
▶0.0b
(-.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 1)
✓32.4b
(+.f64 (*.f64 2 (/.f64 f n)) 1)
▶31.5b
(*.f64 (pow.f64 (pow.f64 (-.f64 n f) -1/2) 2) (+.f64 f n))
✓0.2b
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
33.5b
1
31.3b
-1
Compiler

Compiled 97 to 63 computations (35.1% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (-.f64 n f) -1/2)
✓0.1b
(*.f64 (pow.f64 (pow.f64 (-.f64 n f) -1/2) 2) (+.f64 f n))
✓0.2b
(pow.f64 (pow.f64 (-.f64 n f) -1/2) 2)
Compiler

Compiled 35 to 17 computations (51.4% saved)

series23.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
f
@-inf
(pow.f64 (pow.f64 (-.f64 n f) -1/2) 2)
1.0ms
n
@-inf
(pow.f64 (pow.f64 (-.f64 n f) -1/2) 2)
1.0ms
n
@inf
(pow.f64 (pow.f64 (-.f64 n f) -1/2) 2)
1.0ms
f
@inf
(pow.f64 (pow.f64 (-.f64 n f) -1/2) 2)
1.0ms
n
@0
(pow.f64 (pow.f64 (-.f64 n f) -1/2) 2)

rewrite86.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1258×associate-*r/
1056×associate-*l/
856×distribute-rgt-in
820×distribute-lft-in
412×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01151
125651
2342545
Stop Event
1×node limit
Counts
3 → 155
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (-.f64 n f) -1/2) 2)
(*.f64 (pow.f64 (pow.f64 (-.f64 n f) -1/2) 2) (+.f64 f n))
(pow.f64 (-.f64 n f) -1/2)
Outputs
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simplify161.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
998×associate-/l*
988×associate-*r*
864×*-commutative
840×associate-*l*
738×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077213129
1242312933
Stop Event
1×node limit
Counts
227 → 412
Calls
Call 1
Inputs
(/.f64 -1 f)
(-.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) n) (pow.f64 f 2)) (/.f64 1 f))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 3/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 f 3))) (*.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 f 3)))) (pow.f64 n 2)) (/.f64 (*.f64 n (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (+.f64 (*.f64 (pow.f64 n 3) (+.f64 (*.f64 3/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 f 4))) (*.f64 5/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 f 4))))) (+.f64 (*.f64 (+.f64 (*.f64 3/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 f 3))) (*.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 f 3)))) (pow.f64 n 2)) (/.f64 (*.f64 n (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 f 2)))) (/.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 (*.f64 2 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 f 2)) (*.f64 1/4 (pow.f64 f 2))) (pow.f64 n 3))) (*.f64 1/4 (/.f64 (pow.f64 f 2) (pow.f64 n 3))))))
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/48 (pow.f64 f 3)) (+.f64 (*.f64 1/8 (pow.f64 f 3)) (*.f64 1/6 (pow.f64 f 3)))) (pow.f64 n 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (+.f64 (*.f64 1/8 (pow.f64 f 2)) (*.f64 1/4 (pow.f64 f 2)))) (pow.f64 n 4))) (+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 f 2) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 f 2)) (*.f64 1/4 (pow.f64 f 2))) (pow.f64 n 3))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 f 2)) (*.f64 1/4 (pow.f64 f 2))) f) (pow.f64 n 4)))))))))
(pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) 2)
(+.f64 (/.f64 (*.f64 f (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) 2)) n) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) 2))
(+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 f 2)) (*.f64 1/4 (pow.f64 f 2))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) 2)) (pow.f64 n 2))) (+.f64 (/.f64 (*.f64 f (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) 2)) n) (+.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) 2) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 f 2) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) 2)) (pow.f64 n 2))))))
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(*.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 (*.f64 (pow.f64 n 3) (pow.f64 n 3)) (*.f64 (pow.f64 f 3) (pow.f64 f 3)))) (+.f64 (pow.f64 f 3) (pow.f64 n 3)))
(*.f64 (/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 (pow.f64 (pow.f64 n 3) 3) (pow.f64 (pow.f64 f 3) 3))) (+.f64 (*.f64 (pow.f64 n 3) (pow.f64 n 3)) (+.f64 (*.f64 (pow.f64 f 3) (pow.f64 f 3)) (*.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(/.f64 (/.f64 1 (-.f64 n f)) 1)
(/.f64 (+.f64 n f) (-.f64 (*.f64 n n) (*.f64 f f)))
(/.f64 1 (-.f64 n f))
(/.f64 (sqrt.f64 (+.f64 n f)) (/.f64 (+.f64 n f) (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))))
(/.f64 (cbrt.f64 (+.f64 n f)) (/.f64 (+.f64 n f) (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (-.f64 n f))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (cbrt.f64 (+.f64 n f))))
(/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (-.f64 f n)))
(/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (/.f64 1 (-.f64 f n))))
(/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (*.f64 (-.f64 n f) (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (*.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (/.f64 1 (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(/.f64 (sqrt.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))) (/.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (sqrt.f64 (fma.f64 n n (*.f64 f (+.f64 n f))))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))) (cbrt.f64 (fma.f64 n n (*.f64 f (+.f64 n f))))) (/.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (cbrt.f64 (fma.f64 n n (*.f64 f (+.f64 n f))))))
(/.f64 (-.f64 (*.f64 (*.f64 n n) (*.f64 n n)) (*.f64 (*.f64 f (+.f64 n f)) (*.f64 f (+.f64 n f)))) (*.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (-.f64 (*.f64 n (-.f64 n f)) (*.f64 f f))))
(/.f64 (+.f64 (pow.f64 (*.f64 n n) 3) (pow.f64 (*.f64 f (+.f64 n f)) 3)) (*.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 (*.f64 (*.f64 n n) (*.f64 n n)) (-.f64 (*.f64 (*.f64 f (+.f64 n f)) (*.f64 f (+.f64 n f))) (*.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (neg.f64 (-.f64 f n))))
(/.f64 (neg.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 (/.f64 (+.f64 n f) (+.f64 n f)) (-.f64 n f))
(/.f64 (/.f64 (+.f64 n f) (sqrt.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (sqrt.f64 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 (/.f64 (+.f64 n f) (*.f64 (cbrt.f64 (-.f64 (*.f64 n n) (*.f64 f f))) (cbrt.f64 (-.f64 (*.f64 n n) (*.f64 f f))))) (cbrt.f64 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))
(/.f64 (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))) (/.f64 1 (+.f64 n f)))
(/.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (/.f64 1 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(/.f64 (/.f64 1 (/.f64 (-.f64 n f) (-.f64 f n))) (-.f64 f n))
(/.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3)))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 n) (sqrt.f64 f))) (-.f64 (sqrt.f64 n) (sqrt.f64 f)))
(/.f64 (/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) 1) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(/.f64 (/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (fma.f64 n n (*.f64 f (+.f64 n f)))) (-.f64 n f))
(/.f64 (/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (sqrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (sqrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(/.f64 (/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (*.f64 (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(sqrt.f64 (pow.f64 (-.f64 n f) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 n f)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 n f))))
(exp.f64 (*.f64 -1 (log.f64 (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (-.f64 n f)) -1))
(exp.f64 (*.f64 (*.f64 -1 (log.f64 (-.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 n f))))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (*.f64 (/.f64 f (-.f64 n f)) 1) (*.f64 (/.f64 n (-.f64 n f)) 1))
(+.f64 (*.f64 (/.f64 n (-.f64 n f)) 1) (*.f64 (/.f64 f (-.f64 n f)) 1))
(+.f64 (*.f64 1 (*.f64 (/.f64 f (-.f64 n f)) 1)) (*.f64 1 (*.f64 (/.f64 n (-.f64 n f)) 1)))
(+.f64 (*.f64 (*.f64 (/.f64 f (-.f64 n f)) 1) 1) (*.f64 (*.f64 (/.f64 n (-.f64 n f)) 1) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1)
(/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (+.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 (-.f64 f n) (/.f64 1 (-.f64 n f))))
(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (/.f64 1 (-.f64 n f))))
(/.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 n f)) (-.f64 f n))
(/.f64 (/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (-.f64 n f)) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (-.f64 f n))
(/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 1 (-.f64 n f))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (-.f64 (*.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 n f))) (*.f64 (/.f64 n (-.f64 n f)) (/.f64 n (-.f64 n f)))) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))
(/.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) (pow.f64 (/.f64 n (-.f64 n f)) 3)) (+.f64 (*.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 n f))) (-.f64 (*.f64 (/.f64 n (-.f64 n f)) (/.f64 n (-.f64 n f))) (*.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))))
(/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (-.f64 (*.f64 n n) (*.f64 f f))) (-.f64 n f))
(/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (neg.f64 (-.f64 (*.f64 f f) (*.f64 n n)))) (neg.f64 (-.f64 f n)))
(/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (neg.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)))) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (*.f64 1 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 n f))) (-.f64 f n))
(/.f64 (*.f64 1 (/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (-.f64 n f))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (*.f64 1 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f)))) (-.f64 f n))
(/.f64 (*.f64 1 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 1 (-.f64 n f)))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 n f))) (*.f64 (/.f64 n (-.f64 n f)) (/.f64 n (-.f64 n f))))) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) (pow.f64 (/.f64 n (-.f64 n f)) 3))) (+.f64 (*.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 n f))) (-.f64 (*.f64 (/.f64 n (-.f64 n f)) (/.f64 n (-.f64 n f))) (*.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) (sqrt.f64 (-.f64 (*.f64 f f) (*.f64 n n)))) (sqrt.f64 (-.f64 f n)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) (sqrt.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)))) (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (-.f64 n f)) (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n)))) (cbrt.f64 (-.f64 f n)))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (-.f64 n f)) (cbrt.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)))) (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (/.f64 1 (-.f64 n f))) (neg.f64 (-.f64 f n)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 1 (-.f64 n f))) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (*.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 n f)) 1) (-.f64 f n))
(/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (-.f64 n f)) 1) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) 1) (-.f64 f n))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 1 (-.f64 n f))) 1) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 n f))) (*.f64 (/.f64 n (-.f64 n f)) (/.f64 n (-.f64 n f)))) 1) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) (pow.f64 (/.f64 n (-.f64 n f)) 3)) 1) (+.f64 (*.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 n f))) (-.f64 (*.f64 (/.f64 n (-.f64 n f)) (/.f64 n (-.f64 n f))) (*.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (sqrt.f64 (+.f64 n f)) (/.f64 1 (-.f64 n f)))) (sqrt.f64 (-.f64 f n)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (sqrt.f64 (+.f64 n f)) (/.f64 1 (-.f64 n f)))) (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 n f)) 1) (-.f64 f n))
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 n f)) (sqrt.f64 (-.f64 f n))) (sqrt.f64 (-.f64 f n)))
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 n f)) (*.f64 (cbrt.f64 (-.f64 f n)) (cbrt.f64 (-.f64 f n)))) (cbrt.f64 (-.f64 f n)))
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 n f)) (+.f64 (sqrt.f64 n) (sqrt.f64 f))) (-.f64 (sqrt.f64 f) (sqrt.f64 n)))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (-.f64 n f)) 1) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (-.f64 n f)) (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))) (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (-.f64 n f)) (*.f64 (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))) (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))) (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) 1) (-.f64 f n))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (sqrt.f64 (-.f64 f n))) (sqrt.f64 (-.f64 f n)))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (*.f64 (cbrt.f64 (-.f64 f n)) (cbrt.f64 (-.f64 f n)))) (cbrt.f64 (-.f64 f n)))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (+.f64 (sqrt.f64 n) (sqrt.f64 f))) (-.f64 (sqrt.f64 f) (sqrt.f64 n)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 1 (-.f64 n f))) 1) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 1 (-.f64 n f))) (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))) (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 1 (-.f64 n f))) (*.f64 (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))) (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))) (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 n f)) 3) (pow.f64 (+.f64 n f) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 n f) 3) (pow.f64 (/.f64 1 (-.f64 n f)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(fma.f64 f (/.f64 1 (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 1 (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 n f) -1/2))) 1)
(*.f64 (pow.f64 (-.f64 n f) -1/2) 1)
(*.f64 1 (pow.f64 (-.f64 n f) -1/2))
(*.f64 (pow.f64 (-.f64 n f) -1/4) (pow.f64 (-.f64 n f) -1/4))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 n f))) (cbrt.f64 (pow.f64 (-.f64 n f) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -1/2)) (cbrt.f64 (/.f64 1 (-.f64 n f))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (-.f64 n f)))))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (-.f64 n f) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 n f)) -1/2) (pow.f64 (sqrt.f64 (-.f64 n f)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) -1/2) (pow.f64 (cbrt.f64 (-.f64 n f)) -1/2))
(sqrt.f64 (/.f64 1 (-.f64 n f)))
(fabs.f64 (pow.f64 (-.f64 n f) -1/2))
(log.f64 (exp.f64 (pow.f64 (-.f64 n f) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 n f) -1/2))))
(cbrt.f64 (pow.f64 (-.f64 n f) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 n f) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (-.f64 n f))))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (-.f64 n f))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 n f) -1/2)))
Outputs
(/.f64 -1 f)
(-.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) n) (pow.f64 f 2)) (/.f64 1 f))
(-.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (*.f64 f f) n)) (/.f64 1 f))
(-.f64 (*.f64 (/.f64 n (*.f64 f f)) (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1 f))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 3/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 f 3))) (*.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 f 3)))) (pow.f64 n 2)) (/.f64 (*.f64 n (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 f 3)) 1) (*.f64 n n) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (*.f64 f f) n))) (/.f64 1 f))
(-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) 1) (pow.f64 f 3)) (*.f64 n n) (*.f64 (/.f64 n (*.f64 f f)) (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1 f))
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(fma.f64 f (/.f64 1 (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 1 (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 n f) -1/2))) 1)
(pow.f64 (-.f64 n f) -1/2)
(*.f64 (pow.f64 (-.f64 n f) -1/2) 1)
(pow.f64 (-.f64 n f) -1/2)
(*.f64 1 (pow.f64 (-.f64 n f) -1/2))
(pow.f64 (-.f64 n f) -1/2)
(*.f64 (pow.f64 (-.f64 n f) -1/4) (pow.f64 (-.f64 n f) -1/4))
(pow.f64 (-.f64 n f) -1/2)
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 n f))) (cbrt.f64 (pow.f64 (-.f64 n f) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -1/2)) (cbrt.f64 (/.f64 1 (-.f64 n f))))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 n f))) (cbrt.f64 (pow.f64 (-.f64 n f) -1/2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (-.f64 n f)))))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (-.f64 n f) -1/2))
(pow.f64 (-.f64 n f) -1/2)
(*.f64 (pow.f64 (sqrt.f64 (-.f64 n f)) -1/2) (pow.f64 (sqrt.f64 (-.f64 n f)) -1/2))
(/.f64 1 (sqrt.f64 (-.f64 n f)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) -1/2) (pow.f64 (cbrt.f64 (-.f64 n f)) -1/2))
(sqrt.f64 (/.f64 1 (-.f64 n f)))
(fabs.f64 (pow.f64 (-.f64 n f) -1/2))
(log.f64 (exp.f64 (pow.f64 (-.f64 n f) -1/2)))
(pow.f64 (-.f64 n f) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 n f) -1/2))))
(pow.f64 (-.f64 n f) -1/2)
(cbrt.f64 (pow.f64 (-.f64 n f) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 n f) -1/2)))
(pow.f64 (-.f64 n f) -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 (-.f64 n f))))
(pow.f64 (exp.f64 -1/2) (log.f64 (-.f64 n f)))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (-.f64 n f))) 1))
(pow.f64 (exp.f64 -1/2) (log.f64 (-.f64 n f)))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 n f) -1/2)))
(pow.f64 (-.f64 n f) -1/2)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 1)
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
✓1.9b
(+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
Compiler

Compiled 38 to 12 computations (68.4% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite114.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1456×associate-/r*
1118×associate-/l*
1098×*-commutative
880×associate-/r/
278×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01050
123944
2366144
Stop Event
1×node limit
Counts
2 → 253
Calls
Call 1
Inputs
(+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(-.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 1)
Outputs
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(sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 0)))))

simplify160.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
730×associate-/l/
720×*-commutative
662×associate-/l*
648×distribute-lft-in
600×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075018729
1223317843
Stop Event
1×node limit
Counts
301 → 512
Calls
Call 1
Inputs
2
(+.f64 (*.f64 2 (/.f64 f n)) 2)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 2 (*.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 2 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(/.f64 (-.f64 (*.f64 -1 n) n) f)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f))) (/.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 -1 (/.f64 n f)))) (/.f64 n f))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.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 -1 (/.f64 n f))))) (/.f64 n f))
(*.f64 -2 (/.f64 n f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) (/.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 (pow.f64 n 2) (pow.f64 f 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.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 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 4) (pow.f64 f 4))))
(*.f64 -2 (/.f64 n f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(+.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))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.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)))))
2
(-.f64 (+.f64 2 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 2 (+.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 2 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))) (*.f64 -1 (/.f64 f n)))
2
(-.f64 (+.f64 2 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 2 (/.f64 f n))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 2 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2))))) (*.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 -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))))
-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 (+.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)))
(-.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 0)
(-.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) -1)) (/.f64 1 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) -1)))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2) (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) (-.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 3) (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (+.f64 2 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2)))) (-.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (+.f64 2 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2)))) 1))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2) (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))) (/.f64 1 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 3) (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (+.f64 2 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2))))) (/.f64 1 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (+.f64 2 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2)))))
(*.f64 1 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1))
(*.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) (sqrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) -1) (/.f64 1 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) -1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (/.f64 (+.f64 f n) (-.f64 n f))))))
(*.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) -1)) (+.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) -1))
(*.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (/.f64 (+.f64 f n) (-.f64 n f))))) (+.f64 1 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) -1) (+.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) -1)) (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) (-.f64 1 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))) (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) -1) (-.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1)) (+.f64 1 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) (*.f64 (-.f64 1 (/.f64 (+.f64 f n) (-.f64 n f))) (-.f64 1 (/.f64 (+.f64 f n) (-.f64 n f)))))) (+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) -1) (/.f64 (+.f64 f n) (-.f64 n f))))
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(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(fma.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)) 0)
(fma.f64 1 (/.f64 (+.f64 f n) (-.f64 n f)) 0)
(fma.f64 1 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) (sqrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) -1)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 0)
Outputs
2
(+.f64 (*.f64 2 (/.f64 f n)) 2)
(fma.f64 2 (/.f64 f n) 2)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 2 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (fma.f64 2 (/.f64 f n) 2) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))))
(+.f64 (fma.f64 2 (/.f64 f n) 2) (*.f64 2 (/.f64 f (/.f64 (*.f64 n n) f))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 2 (*.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) 2) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 2) (*.f64 2 (/.f64 f (/.f64 (*.f64 n n) f)))))
(/.f64 (-.f64 (*.f64 -1 n) n) f)
(/.f64 (-.f64 (neg.f64 n) n) f)
(*.f64 -2 (/.f64 n f))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f))) (/.f64 n f))
(+.f64 (*.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f))) (/.f64 (-.f64 (neg.f64 n) n) f))
(*.f64 -2 (+.f64 (/.f64 n (/.f64 (*.f64 f f) n)) (/.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 -1 (/.f64 n f)))) (/.f64 n f))
(-.f64 (fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (neg.f64 n) f))) (/.f64 n f))
(*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 (/.f64 n (/.f64 (*.f64 f f) n)) (/.f64 n f))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.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 -1 (/.f64 n f))))) (/.f64 n f))
(-.f64 (fma.f64 -2 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (neg.f64 n) f)))) (/.f64 n f))
(fma.f64 -2 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 (/.f64 n (/.f64 (*.f64 f f) n)) (/.f64 n f)))))
(*.f64 -2 (/.f64 n f))
(/.f64 (-.f64 (neg.f64 n) n) f)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) (/.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 (*.f64 n n) (*.f64 f f)))
(-.f64 (fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (*.f64 -2 (/.f64 n f))) (/.f64 n (/.f64 (*.f64 f f) n)))
(-.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 (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 (*.f64 n n) (*.f64 f f)))
(+.f64 (neg.f64 (+.f64 (/.f64 (*.f64 2 (pow.f64 n 3)) (pow.f64 f 3)) (/.f64 n (/.f64 (*.f64 f f) n)))) (-.f64 (*.f64 -2 (/.f64 n f)) (/.f64 n (/.f64 (*.f64 f f) n))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.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 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 4) (pow.f64 f 4))))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (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 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (pow.f64 n 4) (pow.f64 f 4))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (*.f64 -2 (/.f64 n f))) (neg.f64 (+.f64 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (/.f64 (*.f64 2 (pow.f64 n 3)) (pow.f64 f 3))))) (+.f64 (/.f64 n (/.f64 (*.f64 f f) n)) (/.f64 (pow.f64 n 4) (pow.f64 f 4))))
(*.f64 -2 (/.f64 n f))
(/.f64 (-.f64 (neg.f64 n) n) f)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f))) (/.f64 (-.f64 (neg.f64 n) n) f))
(*.f64 -2 (+.f64 (/.f64 n (/.f64 (*.f64 f f) n)) (/.f64 n f)))
(+.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))))
(-.f64 (fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (neg.f64 n) f))) (/.f64 n f))
(*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 (/.f64 n (/.f64 (*.f64 f f) n)) (/.f64 n f))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.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)))))
(-.f64 (fma.f64 -2 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (neg.f64 n) f)))) (/.f64 n f))
(fma.f64 -2 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 (/.f64 n (/.f64 (*.f64 f f) n)) (/.f64 n f)))))
2
(-.f64 (+.f64 2 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 2 (/.f64 f n)) (/.f64 (neg.f64 f) n))
(-.f64 (+.f64 2 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))) (*.f64 -1 (/.f64 f n)))
(+.f64 2 (-.f64 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))) (/.f64 (neg.f64 f) n)))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 f (/.f64 (*.f64 n n) f))) (-.f64 (/.f64 f n) (/.f64 (neg.f64 f) n))))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 2 (+.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 2 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))))) (/.f64 (neg.f64 f) n))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 2 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 f (/.f64 (*.f64 n n) f)))))) (/.f64 (neg.f64 f) n))
2
(-.f64 (+.f64 2 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 2 (/.f64 f n)) (/.f64 (neg.f64 f) n))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 2 (/.f64 f n))) (*.f64 -1 (/.f64 f n)))
(+.f64 2 (-.f64 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))) (/.f64 (neg.f64 f) n)))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 f (/.f64 (*.f64 n n) f))) (-.f64 (/.f64 f n) (/.f64 (neg.f64 f) n))))
(-.f64 (+.f64 2 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (+.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 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 2 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))))) (/.f64 (neg.f64 f) n))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 2 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 f (/.f64 (*.f64 n n) f)))))) (/.f64 (neg.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))))
(+.f64 (*.f64 2 (/.f64 f (/.f64 (*.f64 n n) f))) (fma.f64 2 (/.f64 f n) 1))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(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)) (+.f64 (*.f64 2 (/.f64 f (/.f64 (*.f64 n n) f))) (fma.f64 2 (/.f64 f n) 1)))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 (/.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 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (neg.f64 n) f)) (+.f64 (/.f64 n f) 1))
(+.f64 -1 (*.f64 -2 (+.f64 (/.f64 n (/.f64 (*.f64 f f) n)) (/.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)) (/.f64 (neg.f64 n) f))) (+.f64 (/.f64 n f) 1))
(+.f64 -1 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 (/.f64 n (/.f64 (*.f64 f f) n)) (/.f64 n f)))))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 (/.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 (/.f64 (*.f64 n n) (*.f64 f f)) 1))
(+.f64 (/.f64 (neg.f64 (*.f64 n n)) (*.f64 f f)) (-.f64 (fma.f64 -2 (/.f64 n f) -1) (/.f64 n (/.f64 (*.f64 f f) n))))
(-.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 (/.f64 (*.f64 n n) (*.f64 f f)) 1))
(+.f64 (neg.f64 (+.f64 (/.f64 (*.f64 2 (pow.f64 n 3)) (pow.f64 f 3)) (/.f64 n (/.f64 (*.f64 f f) n)))) (-.f64 (fma.f64 -2 (/.f64 n f) -1) (/.f64 n (/.f64 (*.f64 f f) n))))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 (/.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 (fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (neg.f64 n) f)) (+.f64 (/.f64 n f) 1))
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(-.f64 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (neg.f64 n) f))) (+.f64 (/.f64 n f) 1))
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1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
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(-.f64 (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (*.f64 2 (/.f64 f (/.f64 (*.f64 n n) f))) (+.f64 (/.f64 f n) 1))) (/.f64 (neg.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 (/.f64 f n) (-.f64 1 (/.f64 (neg.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)))
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(-.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 (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))) 1)) (/.f64 (neg.f64 f) n))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (*.f64 2 (/.f64 f (/.f64 (*.f64 n n) f))) (+.f64 (/.f64 f n) 1))) (/.f64 (neg.f64 f) n))
(-.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 0)
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(-.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) 1)
(+.f64 1 (/.f64 (+.f64 f n) (-.f64 n f)))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) -1)) (/.f64 1 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) -1)))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2) (+.f64 -1 (/.f64 (+.f64 f n) (-.f64 n f)))) (/.f64 1 (+.f64 -1 (/.f64 (+.f64 f n) (-.f64 n f)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) (+.f64 -1 (/.f64 (+.f64 f n) (-.f64 n f))))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 2) (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) (-.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) 1))
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(/.f64 (-.f64 (neg.f64 f) n) (-.f64 f n))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (sqrt.f64 (-.f64 n f))) (neg.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (-.f64 (neg.f64 f) n) (*.f64 (neg.f64 (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f))))
(/.f64 (-.f64 (neg.f64 f) n) (*.f64 (sqrt.f64 (-.f64 n f)) (neg.f64 (sqrt.f64 (-.f64 n f)))))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (neg.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (-.f64 (neg.f64 f) n) (*.f64 (neg.f64 (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (-.f64 (neg.f64 f) n) (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (neg.f64 (cbrt.f64 (-.f64 n f)))))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) -1) (-.f64 n f))
(/.f64 (-.f64 (neg.f64 f) n) (*.f64 (-.f64 n f) -1))
(/.f64 (-.f64 (neg.f64 f) n) (*.f64 -1 (-.f64 n f)))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (sqrt.f64 (-.f64 f n))) (sqrt.f64 (-.f64 f n)))
(/.f64 (-.f64 (neg.f64 f) n) (*.f64 (sqrt.f64 (-.f64 f n)) (sqrt.f64 (-.f64 f n))))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (*.f64 (cbrt.f64 (-.f64 f n)) (cbrt.f64 (-.f64 f n)))) (cbrt.f64 (-.f64 f n)))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (cbrt.f64 (-.f64 f n))) (*.f64 (cbrt.f64 (-.f64 f n)) (cbrt.f64 (-.f64 f n))))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
(/.f64 (-.f64 (neg.f64 f) n) (*.f64 (neg.f64 (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f))))
(/.f64 (-.f64 (neg.f64 f) n) (*.f64 (sqrt.f64 (-.f64 n f)) (neg.f64 (sqrt.f64 (-.f64 n f)))))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (-.f64 n f)))
(/.f64 (-.f64 (neg.f64 f) n) (*.f64 (neg.f64 (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (-.f64 (neg.f64 f) n) (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (neg.f64 (cbrt.f64 (-.f64 n f)))))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) 1) (-.f64 f n))
(/.f64 (+.f64 f n) (/.f64 (-.f64 n f) (/.f64 (-.f64 f n) (-.f64 f n))))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (sqrt.f64 (-.f64 f n))) (sqrt.f64 (-.f64 f n)))
(/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (-.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (sqrt.f64 (-.f64 f n)) (sqrt.f64 (-.f64 f n))))
(/.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (-.f64 f n)) (*.f64 (sqrt.f64 (-.f64 f n)) (sqrt.f64 (-.f64 f n))))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (*.f64 (cbrt.f64 (-.f64 f n)) (cbrt.f64 (-.f64 f n)))) (cbrt.f64 (-.f64 f n)))
(/.f64 (*.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (cbrt.f64 (-.f64 f n))) (/.f64 (/.f64 1 (-.f64 n f)) (cbrt.f64 (-.f64 f n)))) (cbrt.f64 (-.f64 f n)))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (-.f64 f n)) (cbrt.f64 (-.f64 f n))) (*.f64 (cbrt.f64 (-.f64 f n)) (cbrt.f64 (-.f64 f n))))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 n f))) (+.f64 (sqrt.f64 f) (sqrt.f64 n))) (-.f64 (sqrt.f64 f) (sqrt.f64 n)))
(/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (-.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (-.f64 (sqrt.f64 f) (sqrt.f64 n)) (+.f64 (sqrt.f64 f) (sqrt.f64 n))))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (-.f64 f n)) (+.f64 (sqrt.f64 f) (sqrt.f64 n))) (-.f64 (sqrt.f64 f) (sqrt.f64 n)))
(/.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) 1) (fma.f64 f f (*.f64 n (-.f64 n f))))
(*.f64 (/.f64 1 (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f))))) (+.f64 (pow.f64 f 3) (pow.f64 n 3)))
(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))) (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (/.f64 (*.f64 1 (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (-.f64 n f)) (*.f64 (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))) (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))) (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))) (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))) (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (/.f64 (/.f64 (*.f64 1 (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (-.f64 n f)) (*.f64 (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))) (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))) (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))) (/.f64 (-.f64 n f) (+.f64 (pow.f64 f 3) (pow.f64 n 3))))) (*.f64 (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))) (cbrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) 1) (sqrt.f64 (-.f64 n f)))
(*.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (/.f64 1 (sqrt.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (*.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (cbrt.f64 (-.f64 n f))) (cbrt.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 n f))) (*.f64 (cbrt.f64 (-.f64 n f)) (sqrt.f64 (-.f64 n f)))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 n f))) (sqrt.f64 (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 n f))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))))
(/.f64 (+.f64 f n) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 n f))) (*.f64 (sqrt.f64 (-.f64 n f)) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) 1) (cbrt.f64 (-.f64 n f)))
(/.f64 (*.f64 (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))) 1) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(/.f64 (+.f64 f n) (*.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 n f)))) (sqrt.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 n f))) (sqrt.f64 (cbrt.f64 (-.f64 n f)))))
(/.f64 (+.f64 f n) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 n f))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (sqrt.f64 (cbrt.f64 (-.f64 n f))))))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 n f)))) (cbrt.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 n f))) (cbrt.f64 (sqrt.f64 (-.f64 n f)))))
(/.f64 (+.f64 f n) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 n f))) (cbrt.f64 (sqrt.f64 (-.f64 n f)))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))))
(/.f64 (+.f64 f n) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 n f)))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (cbrt.f64 (-.f64 n f))))) (cbrt.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (cbrt.f64 (-.f64 n f))))))
(/.f64 (+.f64 f n) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (cbrt.f64 (-.f64 n f))))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)
(/.f64 (+.f64 f n) (-.f64 n f))
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 -1 (/.f64 (-.f64 f n) (+.f64 f n)))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 f n))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(/.f64 (+.f64 f n) (-.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(/.f64 (+.f64 f n) (-.f64 n f))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(fma.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)) 0)
(/.f64 (+.f64 f n) (-.f64 n f))
(fma.f64 1 (/.f64 (+.f64 f n) (-.f64 n f)) 0)
(/.f64 (+.f64 f n) (-.f64 n f))
(fma.f64 1 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) -1)
(/.f64 (+.f64 f n) (-.f64 n f))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) (sqrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) -1)
(/.f64 (+.f64 f n) (-.f64 n f))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 0)
(/.f64 (+.f64 f n) (-.f64 n f))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)) -1)
(/.f64 (+.f64 f n) (-.f64 n f))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 0)
(/.f64 (+.f64 f n) (-.f64 n f))

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n)
✓0.1b
(*.f64 n (*.f64 (/.f64 n f) -2))
✓1.2b
(/.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) f)
✓3.8b
(-.f64 (/.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) f) (+.f64 1 (/.f64 n f)))
Compiler

Compiled 63 to 29 computations (54% saved)

series10.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
4.0ms
f
@inf
(-.f64 (/.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) f) (+.f64 1 (/.f64 n f)))
2.0ms
f
@0
(/.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) f)
0.0ms
n
@inf
(-.f64 (/.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) f) (+.f64 1 (/.f64 n f)))
0.0ms
n
@inf
(/.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) f)
0.0ms
n
@inf
(*.f64 n (*.f64 (/.f64 n f) -2))

rewrite150.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1584×distribute-lft-in
778×associate-/r/
638×associate-/l/
460×associate-+l+
346×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013124
1303124
24597124
Stop Event
1×node limit
Counts
4 → 310
Calls
Call 1
Inputs
(-.f64 (/.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) f) (+.f64 1 (/.f64 n f)))
(/.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) f)
(*.f64 n (*.f64 (/.f64 n f) -2))
(-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n)
Outputs
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simplify211.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1046×associate-*r*
878×+-commutative
878×associate-*l*
876×associate-+l+
782×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076126034
1250024060
Stop Event
1×node limit
Counts
406 → 539
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 -2 (/.f64 n f))) 1)
(*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
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(-.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 -2 (/.f64 n f))) 1)
(*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
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(-.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 -2 (/.f64 n f))) 1)
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(-.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 -2 (/.f64 n f))) 1)
-1
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(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
-1
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(*.f64 -1 (/.f64 n f))
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(*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
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(*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
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(*.f64 -1 (/.f64 n f))
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(*.f64 -2 (/.f64 (pow.f64 n 2) f))
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(*.f64 -2 (/.f64 (pow.f64 n 2) f))
(*.f64 -2 (/.f64 (pow.f64 n 2) f))
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(*.f64 -2 (/.f64 (pow.f64 n 2) f))
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(*.f64 -2 (/.f64 (pow.f64 n 2) f))
(*.f64 -2 (/.f64 (pow.f64 n 2) f))
(*.f64 -2 (/.f64 (pow.f64 n 2) f))
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(*.f64 -2 (/.f64 (pow.f64 n 2) f))
(*.f64 -2 (/.f64 (pow.f64 n 2) f))
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(+.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2) n) (fma.f64 (neg.f64 (sqrt.f64 n)) (sqrt.f64 n) n)))
(+.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) (+.f64 (fma.f64 (neg.f64 n) 1 n) (fma.f64 (neg.f64 (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2) n)))
(+.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 n)) (sqrt.f64 n) n) (fma.f64 (neg.f64 (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2) n)))
(+.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2) n) (fma.f64 (neg.f64 (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2) n)))
(+.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) (*.f64 1 (fma.f64 (neg.f64 n) 1 n)))
(+.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 n)) (sqrt.f64 n) n)))
(+.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2) n)))
(+.f64 (neg.f64 n) (*.f64 n (*.f64 (/.f64 n f) -2)))
(+.f64 (neg.f64 n) (+.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) (fma.f64 (neg.f64 n) 1 n)))
(+.f64 (neg.f64 n) (+.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) (fma.f64 (neg.f64 (sqrt.f64 n)) (sqrt.f64 n) n)))
(+.f64 (neg.f64 n) (+.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) (fma.f64 (neg.f64 (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2) n)))
(+.f64 (*.f64 (neg.f64 n) 1) (*.f64 n (*.f64 (/.f64 n f) -2)))
(+.f64 (fma.f64 (neg.f64 n) 1 n) (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 n)) (sqrt.f64 n) n) (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2) n) (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n))
(+.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) (exp.f64 (log1p.f64 n))) 1)
(*.f64 n (-.f64 (*.f64 (/.f64 n f) -2) 1))
(*.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) 1)
(*.f64 1 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n))
(*.f64 (sqrt.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n)) (sqrt.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n)) 2) (cbrt.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n)))
(*.f64 (-.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n n)) (/.f64 1 (fma.f64 n (*.f64 (/.f64 n f) -2) n)))
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8) (pow.f64 n 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n (fma.f64 n (*.f64 (/.f64 n f) -2) n)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 n (*.f64 (/.f64 n f) -2))) (sqrt.f64 n)) (-.f64 (sqrt.f64 (*.f64 n (*.f64 (/.f64 n f) -2))) (sqrt.f64 n)))
(*.f64 (/.f64 1 (fma.f64 n (*.f64 (/.f64 n f) -2) n)) (-.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n n)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n (fma.f64 n (*.f64 (/.f64 n f) -2) n)))) (-.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8) (pow.f64 n 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n n)) (-.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n n))) (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n n)) (+.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8) (pow.f64 n 3))) (+.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (-.f64 (*.f64 n n) (*.f64 (*.f64 n (/.f64 n f)) (*.f64 n -2)))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8) (pow.f64 n 3)) (-.f64 (*.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2)) (*.f64 (*.f64 n (fma.f64 n (*.f64 (/.f64 n f) -2) n)) (*.f64 n (fma.f64 n (*.f64 (/.f64 n f) -2) n))))) (-.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n (fma.f64 n (*.f64 (/.f64 n f) -2) n))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8) (pow.f64 n 3)) (+.f64 (pow.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) 3) (pow.f64 (*.f64 n (fma.f64 n (*.f64 (/.f64 n f) -2) n)) 3))) (+.f64 (*.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2)) (-.f64 (*.f64 (*.f64 n (fma.f64 n (*.f64 (/.f64 n f) -2) n)) (*.f64 n (fma.f64 n (*.f64 (/.f64 n f) -2) n))) (*.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n (fma.f64 n (*.f64 (/.f64 n f) -2) n))))))
(/.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) 1)
(/.f64 1 (/.f64 1 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n)))
(/.f64 1 (/.f64 (fma.f64 n (*.f64 (/.f64 n f) -2) n) (-.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n n))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n (fma.f64 n (*.f64 (/.f64 n f) -2) n))) (-.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8) (pow.f64 n 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n n)) (fma.f64 n (*.f64 (/.f64 n f) -2) n))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8) (pow.f64 n 3)) (+.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n (fma.f64 n (*.f64 (/.f64 n f) -2) n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n n))) (neg.f64 (fma.f64 n (*.f64 (/.f64 n f) -2) n)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n n))) (*.f64 1 (neg.f64 (fma.f64 n (*.f64 (/.f64 n f) -2) n))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8) (pow.f64 n 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n (fma.f64 n (*.f64 (/.f64 n f) -2) n)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8) (pow.f64 n 3))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n (fma.f64 n (*.f64 (/.f64 n f) -2) n))))))
(/.f64 (-.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 (neg.f64 n) (neg.f64 n))) (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) (neg.f64 n)))
(/.f64 (-.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 (neg.f64 n) (neg.f64 n))) (*.f64 1 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) (neg.f64 n))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2)) (*.f64 (*.f64 n n) (*.f64 n n))) (*.f64 (fma.f64 n (*.f64 (/.f64 n f) -2) n) (+.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n n))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8) (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8)) (*.f64 (pow.f64 n 3) (pow.f64 n 3))) (*.f64 (+.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n (fma.f64 n (*.f64 (/.f64 n f) -2) n))) (+.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8) (pow.f64 n 3))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8) (pow.f64 (neg.f64 n) 3)) (+.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (-.f64 (*.f64 (neg.f64 n) (neg.f64 n)) (*.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) (neg.f64 n)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8) (pow.f64 (neg.f64 n) 3)) (*.f64 1 (+.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (-.f64 (*.f64 (neg.f64 n) (neg.f64 n)) (*.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) (neg.f64 n))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) 3) (pow.f64 (*.f64 n n) 3)) (*.f64 (fma.f64 n (*.f64 (/.f64 n f) -2) n) (+.f64 (*.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2)) (+.f64 (*.f64 (*.f64 n n) (*.f64 n n)) (*.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n n))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8) 3) (pow.f64 (pow.f64 n 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n (fma.f64 n (*.f64 (/.f64 n f) -2) n))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8) (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8)) (+.f64 (*.f64 (pow.f64 n 3) (pow.f64 n 3)) (*.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8) (pow.f64 n 3))))))
(pow.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n)) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n)))
(exp.f64 (log.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n)) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n)))
(fma.f64 n (*.f64 (/.f64 n f) -2) (neg.f64 n))
(fma.f64 (*.f64 (/.f64 n f) -2) n (neg.f64 n))
(fma.f64 1 (*.f64 n (*.f64 (/.f64 n f) -2)) (neg.f64 n))
(fma.f64 (sqrt.f64 (*.f64 n (*.f64 (/.f64 n f) -2))) (sqrt.f64 (*.f64 n (*.f64 (/.f64 n f) -2))) (neg.f64 n))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (/.f64 n f) -2))) 2) (cbrt.f64 (*.f64 n (*.f64 (/.f64 n f) -2))) (neg.f64 n))
(fma.f64 (*.f64 n (/.f64 n f)) -2 (neg.f64 n))
Outputs
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1)
(+.f64 (*.f64 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(+.f64 -1 (*.f64 -2 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2))))
(-.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)
(+.f64 -1 (*.f64 -2 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2))))
(*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(*.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)))
(*.f64 -2 (pow.f64 (/.f64 n f) 2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2)))
(-.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)
(+.f64 -1 (*.f64 -2 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2))))
(-.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)
(+.f64 -1 (*.f64 -2 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2))))
(*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(*.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)))
(*.f64 -2 (pow.f64 (/.f64 n f) 2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2)))
(-.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)
(+.f64 -1 (*.f64 -2 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2))))
(-.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)
(+.f64 -1 (*.f64 -2 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2))))
(*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(*.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)))
(*.f64 -2 (pow.f64 (/.f64 n f) 2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2)))
(-.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)
(+.f64 -1 (*.f64 -2 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2))))
(-.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)
(+.f64 -1 (*.f64 -2 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 (/.f64 n f) 1))
(-.f64 (-.f64 0 (/.f64 (*.f64 2 n) f)) 1)
(-.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)) (/.f64 (neg.f64 n) f)) (+.f64 (/.f64 n f) 1))
(fma.f64 (pow.f64 (/.f64 n f) 2) -2 (-.f64 -1 (/.f64 (*.f64 2 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)) (/.f64 (neg.f64 n) f)) (+.f64 (/.f64 n f) 1))
(fma.f64 (pow.f64 (/.f64 n f) 2) -2 (-.f64 -1 (/.f64 (*.f64 2 n) f)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) 1)
(fma.f64 -1 (/.f64 (-.f64 n (neg.f64 n)) f) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (neg.f64 (/.f64 (-.f64 n (neg.f64 n)) f))) -1)
(+.f64 -1 (fma.f64 -2 (pow.f64 (/.f64 n f) 2) (/.f64 (+.f64 (neg.f64 n) (neg.f64 n)) f)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (neg.f64 (/.f64 (-.f64 n (neg.f64 n)) f))) -1)
(+.f64 -1 (fma.f64 -2 (pow.f64 (/.f64 n f) 2) (/.f64 (+.f64 (neg.f64 n) (neg.f64 n)) f)))
(*.f64 -1 (/.f64 n f))
(/.f64 (neg.f64 n) f)
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(/.f64 (-.f64 (pow.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) 2) (*.f64 n n)) (-.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) (neg.f64 n)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 n f) (*.f64 -2 n)) 2) (*.f64 n n)) (-.f64 (*.f64 (/.f64 n f) (*.f64 -2 n)) (neg.f64 n)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2)) (*.f64 (*.f64 n n) (*.f64 n n))) (*.f64 (fma.f64 n (*.f64 (/.f64 n f) -2) n) (+.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n n))))
(/.f64 (-.f64 (pow.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) 4) (*.f64 n (pow.f64 n 3))) (*.f64 (fma.f64 n (*.f64 -2 (/.f64 n f)) n) (+.f64 (pow.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) 2) (*.f64 n n))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 n f) (*.f64 -2 n)) 4) (*.f64 n (pow.f64 n 3))) (*.f64 (fma.f64 n (*.f64 -2 (/.f64 n f)) n) (+.f64 (pow.f64 (*.f64 (/.f64 n f) (*.f64 -2 n)) 2) (*.f64 n n))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8) (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8)) (*.f64 (pow.f64 n 3) (pow.f64 n 3))) (*.f64 (+.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n (fma.f64 n (*.f64 (/.f64 n f) -2) n))) (+.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8) (pow.f64 n 3))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) (pow.f64 (*.f64 n (/.f64 n f)) 3)) 64) (pow.f64 n 6)) (*.f64 (fma.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8 (pow.f64 n 3)) (+.f64 (pow.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) 2) (*.f64 n (fma.f64 n (*.f64 -2 (/.f64 n f)) n)))))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 n 6) (pow.f64 f 3)) (*.f64 64 (/.f64 (pow.f64 n 6) (pow.f64 f 3)))) (pow.f64 n 6)) (fma.f64 (/.f64 (pow.f64 n 6) (pow.f64 f 3)) -8 (pow.f64 n 3))) (+.f64 (pow.f64 (*.f64 (/.f64 n f) (*.f64 -2 n)) 2) (*.f64 n (fma.f64 n (*.f64 -2 (/.f64 n f)) n))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8) (pow.f64 (neg.f64 n) 3)) (+.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (-.f64 (*.f64 (neg.f64 n) (neg.f64 n)) (*.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) (neg.f64 n)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8 (pow.f64 (neg.f64 n) 3)) (+.f64 (pow.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) 2) (*.f64 (neg.f64 n) (-.f64 (neg.f64 n) (*.f64 -2 (*.f64 n (/.f64 n f)))))))
(/.f64 (fma.f64 (/.f64 (pow.f64 n 6) (pow.f64 f 3)) -8 (pow.f64 (neg.f64 n) 3)) (+.f64 (pow.f64 (*.f64 (/.f64 n f) (*.f64 -2 n)) 2) (-.f64 (*.f64 n n) (neg.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) f))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8) (pow.f64 (neg.f64 n) 3)) (*.f64 1 (+.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (-.f64 (*.f64 (neg.f64 n) (neg.f64 n)) (*.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) (neg.f64 n))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8 (pow.f64 (neg.f64 n) 3)) (+.f64 (pow.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) 2) (*.f64 (neg.f64 n) (-.f64 (neg.f64 n) (*.f64 -2 (*.f64 n (/.f64 n f)))))))
(/.f64 (fma.f64 (/.f64 (pow.f64 n 6) (pow.f64 f 3)) -8 (pow.f64 (neg.f64 n) 3)) (+.f64 (pow.f64 (*.f64 (/.f64 n f) (*.f64 -2 n)) 2) (-.f64 (*.f64 n n) (neg.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) f))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) 3) (pow.f64 (*.f64 n n) 3)) (*.f64 (fma.f64 n (*.f64 (/.f64 n f) -2) n) (+.f64 (*.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2)) (+.f64 (*.f64 (*.f64 n n) (*.f64 n n)) (*.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n n))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) 2) 3) (pow.f64 n 6)) (*.f64 (fma.f64 n (*.f64 -2 (/.f64 n f)) n) (+.f64 (pow.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) 4) (*.f64 (*.f64 n n) (+.f64 (pow.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) 2) (*.f64 n n))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 n f) (*.f64 -2 n)) 2) 3) (pow.f64 n 6)) (fma.f64 n (*.f64 -2 (/.f64 n f)) n)) (+.f64 (pow.f64 (*.f64 (/.f64 n f) (*.f64 -2 n)) 4) (*.f64 n (*.f64 n (+.f64 (pow.f64 (*.f64 (/.f64 n f) (*.f64 -2 n)) 2) (*.f64 n n))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8) 3) (pow.f64 (pow.f64 n 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 2) (*.f64 n (fma.f64 n (*.f64 (/.f64 n f) -2) n))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8) (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8)) (+.f64 (*.f64 (pow.f64 n 3) (pow.f64 n 3)) (*.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8) (pow.f64 n 3))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) 3) -512) (pow.f64 (pow.f64 n 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) 2) (*.f64 n (fma.f64 n (*.f64 -2 (/.f64 n f)) n))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) (pow.f64 (*.f64 n (/.f64 n f)) 3)) 64) (*.f64 (pow.f64 n 3) (fma.f64 (pow.f64 (*.f64 n (/.f64 n f)) 3) -8 (pow.f64 n 3))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 n 6) (pow.f64 f 3)) 3) -512) (pow.f64 (pow.f64 n 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 n f) (*.f64 -2 n)) 2) (*.f64 n (fma.f64 n (*.f64 -2 (/.f64 n f)) n))) (+.f64 (*.f64 (/.f64 (pow.f64 n 6) (pow.f64 f 3)) (*.f64 64 (/.f64 (pow.f64 n 6) (pow.f64 f 3)))) (*.f64 (pow.f64 n 3) (fma.f64 (/.f64 (pow.f64 n 6) (pow.f64 f 3)) -8 (pow.f64 n 3))))))
(pow.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) 1)
(-.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) n)
(*.f64 n (fma.f64 -2 (/.f64 n f) -1))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n)) 2)
(-.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) n)
(*.f64 n (fma.f64 -2 (/.f64 n f) -1))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n)) 3)
(-.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) n)
(*.f64 n (fma.f64 -2 (/.f64 n f) -1))
(pow.f64 (pow.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) 3) 1/3)
(-.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) n)
(*.f64 n (fma.f64 -2 (/.f64 n f) -1))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) 2))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) n) 2))
(sqrt.f64 (pow.f64 (*.f64 n (fma.f64 -2 (/.f64 n f) -1)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n)))
(-.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) n)
(*.f64 n (fma.f64 -2 (/.f64 n f) -1))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n))))
(-.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) n)
(*.f64 n (fma.f64 -2 (/.f64 n f) -1))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n) 3))
(-.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) n)
(*.f64 n (fma.f64 -2 (/.f64 n f) -1))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n)))
(-.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) n)
(*.f64 n (fma.f64 -2 (/.f64 n f) -1))
(exp.f64 (log.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n)))
(-.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) n)
(*.f64 n (fma.f64 -2 (/.f64 n f) -1))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n)) 1))
(-.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) n)
(*.f64 n (fma.f64 -2 (/.f64 n f) -1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) n)))
(-.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) n)
(*.f64 n (fma.f64 -2 (/.f64 n f) -1))
(fma.f64 n (*.f64 (/.f64 n f) -2) (neg.f64 n))
(-.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) n)
(*.f64 n (fma.f64 -2 (/.f64 n f) -1))
(fma.f64 (*.f64 (/.f64 n f) -2) n (neg.f64 n))
(-.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) n)
(*.f64 n (fma.f64 -2 (/.f64 n f) -1))
(fma.f64 1 (*.f64 n (*.f64 (/.f64 n f) -2)) (neg.f64 n))
(-.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) n)
(*.f64 n (fma.f64 -2 (/.f64 n f) -1))
(fma.f64 (sqrt.f64 (*.f64 n (*.f64 (/.f64 n f) -2))) (sqrt.f64 (*.f64 n (*.f64 (/.f64 n f) -2))) (neg.f64 n))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (*.f64 n (/.f64 n f)))) 2) (neg.f64 n))
(+.f64 (neg.f64 n) (pow.f64 (sqrt.f64 (*.f64 (/.f64 n f) (*.f64 -2 n))) 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (/.f64 n f) -2))) 2) (cbrt.f64 (*.f64 n (*.f64 (/.f64 n f) -2))) (neg.f64 n))
(-.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) n)
(*.f64 n (fma.f64 -2 (/.f64 n f) -1))
(fma.f64 (*.f64 n (/.f64 n f)) -2 (neg.f64 n))
(-.f64 (*.f64 -2 (*.f64 n (/.f64 n f))) n)
(*.f64 n (fma.f64 -2 (/.f64 n f) -1))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 n f)) (-.f64 f n))
✓2.4b
(-.f64 (*.f64 f f) (*.f64 n n))
✓28.3b
(/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 n f))
Compiler

Compiled 49 to 9 computations (81.6% saved)

series7.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
f
@inf
(-.f64 (*.f64 f f) (*.f64 n n))
0.0ms
f
@inf
(/.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 n f)) (-.f64 f n))
0.0ms
f
@inf
(/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 n f))
0.0ms
n
@-inf
(/.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 n f)) (-.f64 f n))
0.0ms
f
@-inf
(/.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 n f)) (-.f64 f n))

rewrite117.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1008×swap-sqr
740×distribute-lft-neg-in
670×distribute-rgt-neg-in
402×associate-+l+
322×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01193
127269
2467045
Stop Event
1×node limit
Counts
3 → 359
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 n f))
(-.f64 (*.f64 f f) (*.f64 n n))
(/.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 n f)) (-.f64 f n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 f n)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 n f)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 n) (neg.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 f) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 f (/.f64 (-.f64 f n) f)) (/.f64 (*.f64 n n) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 n n) (-.f64 f n)) (/.f64 f (/.f64 (-.f64 f n) f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 f (/.f64 (-.f64 f n) f))) (/.f64 (*.f64 n n) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 f 0) n)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 n 0) f)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (+.f64 f n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 f (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 n (neg.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 f (/.f64 (-.f64 f n) f)) (/.f64 (*.f64 n n) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 n)) (+.f64 1 (neg.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 n)) (-.f64 1 f))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 f n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 f)) (+.f64 1 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 f)) (-.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 f (exp.f64 (log1p.f64 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 n (exp.f64 (log1p.f64 f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (/.f64 f (/.f64 (-.f64 f n) f))) (/.f64 (*.f64 n n) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 f n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 f n) (*.f64 (-.f64 f n) (/.f64 1 (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 f n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 f n) (+.f64 (/.f64 (*.f64 f f) (-.f64 (*.f64 f f) (*.f64 n n))) (/.f64 (*.f64 n n) (-.f64 (*.f64 f f) (*.f64 n n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 f n) (-.f64 (/.f64 (*.f64 f f) (-.f64 (*.f64 f f) (*.f64 n n))) (/.f64 (*.f64 n n) (-.f64 (*.f64 f f) (*.f64 n n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 f n) (neg.f64 (*.f64 (-.f64 f n) (/.f64 1 (-.f64 f n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 f n)) (sqrt.f64 (+.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 f n)) (neg.f64 (sqrt.f64 (+.f64 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f n) (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 f n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 f n))))))))

simplify146.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1304×associate-+r+
1296×associate-+l+
1196×associate-/l*
1148×distribute-lft-in
714×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082613313
1254413147
Stop Event
1×node limit
Counts
431 → 554
Calls
Call 1
Inputs
(*.f64 -1 n)
(+.f64 (*.f64 -1 f) (*.f64 -1 n))
(+.f64 (*.f64 -1 f) (*.f64 -1 n))
(+.f64 (*.f64 -1 f) (*.f64 -1 n))
(*.f64 -1 f)
(+.f64 (*.f64 -1 f) (*.f64 -1 n))
(+.f64 (*.f64 -1 f) (*.f64 -1 n))
(+.f64 (*.f64 -1 f) (*.f64 -1 n))
(*.f64 -1 f)
(+.f64 (*.f64 -1 f) (*.f64 -1 n))
(+.f64 (*.f64 -1 f) (*.f64 -1 n))
(+.f64 (*.f64 -1 f) (*.f64 -1 n))
(*.f64 -1 f)
(+.f64 (*.f64 -1 f) (*.f64 -1 n))
(+.f64 (*.f64 -1 f) (*.f64 -1 n))
(+.f64 (*.f64 -1 f) (*.f64 -1 n))
(*.f64 -1 n)
(+.f64 (*.f64 -1 f) (*.f64 -1 n))
(+.f64 (*.f64 -1 f) (*.f64 -1 n))
(+.f64 (*.f64 -1 f) (*.f64 -1 n))
(*.f64 -1 n)
(+.f64 (*.f64 -1 f) (*.f64 -1 n))
(+.f64 (*.f64 -1 f) (*.f64 -1 n))
(+.f64 (*.f64 -1 f) (*.f64 -1 n))
(*.f64 -1 (pow.f64 n 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(pow.f64 f 2)
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(pow.f64 f 2)
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(pow.f64 f 2)
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(*.f64 -1 (pow.f64 n 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(*.f64 -1 (pow.f64 n 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
(+.f64 (*.f64 -1 (pow.f64 n 2)) (pow.f64 f 2))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (*.f64 -2 (/.f64 n f))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
(-.f64 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 n (-.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (pow.f64 n 2)) (*.f64 4 (pow.f64 n 2)))))) (*.f64 -2 (pow.f64 n 3))) (pow.f64 f 3))) (*.f64 -2 (/.f64 n f)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 4 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 n 2)) (+.f64 (pow.f64 n 2) (*.f64 -4 (pow.f64 n 2)))) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 n 2)) (+.f64 (pow.f64 n 2) (*.f64 -4 (pow.f64 n 2)))) (pow.f64 f 2))) (+.f64 (*.f64 -2 (/.f64 n f)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 n (-.f64 (*.f64 -1 (pow.f64 n 2)) (+.f64 (pow.f64 n 2) (*.f64 -4 (pow.f64 n 2)))))) (*.f64 -2 (pow.f64 n 3))) (pow.f64 f 3))))) 1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 f n)) 1)) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 f (-.f64 (*.f64 -1 (pow.f64 f 2)) (+.f64 (pow.f64 f 2) (*.f64 -4 (pow.f64 f 2)))))) (*.f64 2 (pow.f64 f 3))) (pow.f64 n 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 f n)) 1))) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 -4 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 f 2) (+.f64 (*.f64 4 (pow.f64 f 2)) (*.f64 -1 (pow.f64 f 2)))) (pow.f64 n 2)))))
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 f (-.f64 (pow.f64 f 2) (+.f64 (*.f64 4 (pow.f64 f 2)) (*.f64 -1 (pow.f64 f 2)))))) (*.f64 2 (pow.f64 f 3))) (pow.f64 n 3))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 f 2) (+.f64 (*.f64 4 (pow.f64 f 2)) (*.f64 -1 (pow.f64 f 2)))) (pow.f64 n 2))))))
(+.f64 f n)
(+.f64 n f)
(+.f64 (neg.f64 n) (neg.f64 f))
(+.f64 (neg.f64 f) (neg.f64 n))
(+.f64 (/.f64 f (/.f64 (-.f64 f n) f)) (/.f64 (*.f64 n n) (-.f64 f n)))
(+.f64 (/.f64 (*.f64 n n) (-.f64 f n)) (/.f64 f (/.f64 (-.f64 f n) f)))
(+.f64 0 (+.f64 f n))
(+.f64 (-.f64 0 (/.f64 f (/.f64 (-.f64 f n) f))) (/.f64 (*.f64 n n) (-.f64 f n)))
(+.f64 (-.f64 f 0) n)
(+.f64 (-.f64 n 0) f)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (+.f64 f n)))) 1)
(-.f64 f (neg.f64 n))
(-.f64 n (neg.f64 f))
(-.f64 (/.f64 f (/.f64 (-.f64 f n) f)) (/.f64 (*.f64 n n) (-.f64 f n)))
(-.f64 0 (+.f64 f n))
(-.f64 (exp.f64 (log1p.f64 n)) (+.f64 1 (neg.f64 f)))
(-.f64 (exp.f64 (log1p.f64 n)) (-.f64 1 f))
(-.f64 (exp.f64 (log1p.f64 (+.f64 f n))) 1)
(-.f64 (exp.f64 (log1p.f64 f)) (+.f64 1 (neg.f64 n)))
(-.f64 (exp.f64 (log1p.f64 f)) (-.f64 1 n))
(-.f64 (+.f64 f (exp.f64 (log1p.f64 n))) 1)
(-.f64 (+.f64 n (exp.f64 (log1p.f64 f))) 1)
(-.f64 (-.f64 0 (/.f64 f (/.f64 (-.f64 f n) f))) (/.f64 (*.f64 n n) (-.f64 f n)))
(*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (-.f64 f n)))
(*.f64 (+.f64 f n) 1)
(*.f64 (+.f64 f n) (*.f64 (-.f64 f n) (/.f64 1 (-.f64 f n))))
(*.f64 (+.f64 f n) -1)
(*.f64 (+.f64 f n) (+.f64 (/.f64 (*.f64 f f) (-.f64 (*.f64 f f) (*.f64 n n))) (/.f64 (*.f64 n n) (-.f64 (*.f64 f f) (*.f64 n n)))))
(*.f64 (+.f64 f n) (-.f64 (/.f64 (*.f64 f f) (-.f64 (*.f64 f f) (*.f64 n n))) (/.f64 (*.f64 n n) (-.f64 (*.f64 f f) (*.f64 n n)))))
(*.f64 (+.f64 f n) (neg.f64 (*.f64 (-.f64 f n) (/.f64 1 (-.f64 f n)))))
(*.f64 1 (+.f64 f n))
(*.f64 (sqrt.f64 (+.f64 f n)) (sqrt.f64 (+.f64 f n)))
(*.f64 (sqrt.f64 (+.f64 f n)) (neg.f64 (sqrt.f64 (+.f64 f n))))
(*.f64 (sqrt.f64 (+.f64 f n)) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 f n)))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (sqrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (/.f64 1 (-.f64 f n))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (neg.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (/.f64 1 (-.f64 f n)))))
(*.f64 (cbrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (+.f64 f n)) 2))
(*.f64 (cbrt.f64 (+.f64 f n)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (cbrt.f64 (+.f64 f n)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (neg.f64 (cbrt.f64 (+.f64 f n))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (neg.f64 (neg.f64 (cbrt.f64 (+.f64 f n)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (/.f64 1 (-.f64 f n))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) 2) (neg.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (/.f64 1 (-.f64 f n)))))
(*.f64 (/.f64 1 (-.f64 f n)) (-.f64 (*.f64 f f) (*.f64 n n)))
(*.f64 (/.f64 1 (-.f64 f n)) (fma.f64 f f (*.f64 n n)))
(*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (+.f64 (/.f64 (*.f64 f f) (-.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 (*.f64 n n) (-.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 (/.f64 (*.f64 f f) (-.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 (*.f64 n n) (-.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 f n))) (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (sqrt.f64 (-.f64 f n))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 f n))) (+.f64 (/.f64 (*.f64 f f) (sqrt.f64 (-.f64 f n))) (/.f64 (*.f64 n n) (sqrt.f64 (-.f64 f n)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 f n))) (-.f64 (/.f64 (*.f64 f f) (sqrt.f64 (-.f64 f n))) (/.f64 (*.f64 n n) (sqrt.f64 (-.f64 f n)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 f n))) (neg.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (sqrt.f64 (-.f64 f n)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (cbrt.f64 (-.f64 f n))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (+.f64 (/.f64 (*.f64 f f) (cbrt.f64 (-.f64 f n))) (/.f64 (*.f64 n n) (cbrt.f64 (-.f64 f n)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (-.f64 (/.f64 (*.f64 f f) (cbrt.f64 (-.f64 f n))) (/.f64 (*.f64 n n) (cbrt.f64 (-.f64 f n)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (neg.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (cbrt.f64 (-.f64 f n)))))
(*.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 f n))) (/.f64 (-.f64 f n) (sqrt.f64 (-.f64 f n))))
(*.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 f n))) (neg.f64 (/.f64 (-.f64 f n) (sqrt.f64 (-.f64 f n)))))
(*.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 (*.f64 f f) (*.f64 n n))) (+.f64 f n))
(*.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 f f (*.f64 n (+.f64 f n))))
(*.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 (pow.f64 f 3) (pow.f64 n 3))) (neg.f64 (fma.f64 f f (*.f64 n (+.f64 f n)))))
(*.f64 -1 (+.f64 f n))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 f n))) (sqrt.f64 (+.f64 f n)))
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(+.f64 (*.f64 f (+.f64 f n)) (+.f64 (*.f64 (neg.f64 n) (+.f64 f n)) (*.f64 (*.f64 (*.f64 n n) 0) 1)))
(+.f64 (*.f64 f (+.f64 f n)) (+.f64 (*.f64 (neg.f64 n) (+.f64 f n)) (fma.f64 (*.f64 n (neg.f64 n)) 1 (*.f64 n n))))
(+.f64 (*.f64 f (+.f64 f n)) (+.f64 (*.f64 (neg.f64 n) (+.f64 f n)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 n n))) (cbrt.f64 (pow.f64 n 4)) (*.f64 n n))))
(+.f64 (*.f64 f (+.f64 f n)) (-.f64 (*.f64 (neg.f64 n) (+.f64 f n)) (*.f64 (*.f64 n n) 0)))
(+.f64 (*.f64 (*.f64 n n) 0) (-.f64 (*.f64 f f) (*.f64 n n)))
(+.f64 0 (-.f64 (*.f64 f f) (*.f64 n n)))
(+.f64 (+.f64 (*.f64 n (neg.f64 n)) (*.f64 (*.f64 n n) 0)) (*.f64 f f))
(+.f64 (*.f64 2 (*.f64 (*.f64 n n) 0)) (-.f64 (*.f64 f f) (*.f64 n n)))
(+.f64 (*.f64 (+.f64 f n) f) (*.f64 (+.f64 f n) (neg.f64 n)))
(+.f64 (*.f64 (+.f64 f n) f) (+.f64 (*.f64 (+.f64 f n) (neg.f64 n)) (*.f64 (*.f64 n n) 0)))
(+.f64 (*.f64 (+.f64 f n) f) (+.f64 (*.f64 (+.f64 f n) (neg.f64 n)) (*.f64 2 (*.f64 (*.f64 n n) 0))))
(+.f64 (*.f64 (+.f64 f n) f) (+.f64 (*.f64 (+.f64 f n) (neg.f64 n)) (*.f64 (*.f64 (*.f64 n n) 0) 1)))
(+.f64 (*.f64 (+.f64 f n) f) (+.f64 (*.f64 (+.f64 f n) (neg.f64 n)) (fma.f64 (*.f64 n (neg.f64 n)) 1 (*.f64 n n))))
(+.f64 (*.f64 (+.f64 f n) f) (+.f64 (*.f64 (+.f64 f n) (neg.f64 n)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 n n))) (cbrt.f64 (pow.f64 n 4)) (*.f64 n n))))
(+.f64 (*.f64 (+.f64 f n) f) (-.f64 (*.f64 (+.f64 f n) (neg.f64 n)) (*.f64 (*.f64 n n) 0)))
(+.f64 (*.f64 (+.f64 f n) (neg.f64 n)) (*.f64 (+.f64 f n) f))
(+.f64 (*.f64 (*.f64 (*.f64 n n) 0) 1) (-.f64 (*.f64 f f) (*.f64 n n)))
(+.f64 (*.f64 (neg.f64 n) (+.f64 f n)) (*.f64 f (+.f64 f n)))
(+.f64 (*.f64 f (neg.f64 f)) (*.f64 n n))
(+.f64 (*.f64 f (neg.f64 f)) (+.f64 (*.f64 n n) (*.f64 (*.f64 n n) 0)))
(+.f64 (*.f64 f (neg.f64 f)) (neg.f64 (+.f64 (*.f64 n (neg.f64 n)) (*.f64 (*.f64 n n) 0))))
(+.f64 (fma.f64 (*.f64 n (neg.f64 n)) 1 (*.f64 n n)) (-.f64 (*.f64 f f) (*.f64 n n)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 n n))) (cbrt.f64 (pow.f64 n 4)) (*.f64 n n)) (-.f64 (*.f64 f f) (*.f64 n n)))
(+.f64 (fma.f64 (neg.f64 f) f (*.f64 f f)) (-.f64 (*.f64 f f) (*.f64 n n)))
(+.f64 (fma.f64 (*.f64 f (neg.f64 f)) 1 (*.f64 f f)) (-.f64 (*.f64 f f) (*.f64 n n)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 f f))) (cbrt.f64 (pow.f64 f 4)) (*.f64 f f)) (-.f64 (*.f64 f f) (*.f64 n n)))
(+.f64 (+.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (*.f64 n (neg.f64 n))) (*.f64 n n))
(+.f64 (+.f64 (*.f64 (*.f64 n n) 0) (*.f64 f f)) (*.f64 n (neg.f64 n)))
(+.f64 (+.f64 (*.f64 (*.f64 n n) 0) (*.f64 f f)) (+.f64 (*.f64 n (neg.f64 n)) (*.f64 (*.f64 n n) 0)))
(+.f64 (+.f64 (*.f64 (*.f64 n n) 0) (*.f64 f (+.f64 f n))) (*.f64 (neg.f64 n) (+.f64 f n)))
(+.f64 (+.f64 (*.f64 (*.f64 n n) 0) (*.f64 (+.f64 f n) f)) (*.f64 (+.f64 f n) (neg.f64 n)))
(+.f64 (-.f64 0 (*.f64 f f)) (*.f64 n n))
(+.f64 (-.f64 0 (*.f64 f f)) (+.f64 (*.f64 n n) (*.f64 (*.f64 n n) 0)))
(+.f64 (-.f64 (*.f64 n n) (exp.f64 (log1p.f64 (*.f64 f f)))) 1)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (-.f64 (*.f64 f f) (*.f64 n n))))) 1)
(+.f64 (-.f64 0 (/.f64 (pow.f64 f 4) (fma.f64 f f (*.f64 n n)))) (/.f64 (pow.f64 n 4) (fma.f64 f f (*.f64 n n))))
(+.f64 (-.f64 0 (/.f64 (pow.f64 f 6) (+.f64 (pow.f64 n 4) (+.f64 (pow.f64 f 4) (pow.f64 (*.f64 f n) 2))))) (/.f64 (pow.f64 n 6) (+.f64 (pow.f64 n 4) (+.f64 (pow.f64 f 4) (pow.f64 (*.f64 f n) 2)))))
(+.f64 (-.f64 (*.f64 f f) (exp.f64 (log1p.f64 (*.f64 n n)))) 1)
(+.f64 (neg.f64 (*.f64 f (+.f64 f n))) (neg.f64 (*.f64 (neg.f64 n) (+.f64 f n))))
(+.f64 (neg.f64 (*.f64 (+.f64 f n) f)) (neg.f64 (*.f64 (+.f64 f n) (neg.f64 n))))
(*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) 1)
(*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) -1)
(*.f64 (-.f64 f n) (+.f64 f n))
(*.f64 (+.f64 f n) (-.f64 f n))
(*.f64 1 (-.f64 (*.f64 f f) (*.f64 n n)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (sqrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 f f) (*.f64 n n)))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) 2))
(*.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) 2) (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) 2) (neg.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) 2) (neg.f64 (neg.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))))))
(*.f64 (-.f64 (pow.f64 f 4) (pow.f64 n 4)) (/.f64 1 (fma.f64 f f (*.f64 n n))))
(*.f64 (-.f64 (pow.f64 f 4) (pow.f64 n 4)) (neg.f64 (/.f64 1 (fma.f64 f f (*.f64 n n)))))
(*.f64 (-.f64 (pow.f64 f 6) (pow.f64 n 6)) (/.f64 1 (+.f64 (pow.f64 n 4) (+.f64 (pow.f64 f 4) (pow.f64 (*.f64 f n) 2)))))
(*.f64 (-.f64 (pow.f64 f 6) (pow.f64 n 6)) (neg.f64 (/.f64 1 (+.f64 (pow.f64 n 4) (+.f64 (pow.f64 f 4) (pow.f64 (*.f64 f n) 2))))))
(*.f64 (*.f64 (+.f64 f n) (sqrt.f64 (-.f64 f n))) (sqrt.f64 (-.f64 f n)))
(*.f64 (*.f64 (+.f64 f n) (sqrt.f64 (-.f64 f n))) (neg.f64 (sqrt.f64 (-.f64 f n))))
(*.f64 (*.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (cbrt.f64 (-.f64 f n)))
(*.f64 (*.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (neg.f64 (cbrt.f64 (-.f64 f n))))
(*.f64 -1 (-.f64 (*.f64 f f) (*.f64 n n)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 f f) (*.f64 n n)))) (sqrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 f f) (*.f64 n n)))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 f f) (*.f64 n n)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) 2)) (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) 2)) (neg.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n)))))
(*.f64 (neg.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) 2))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))))) (sqrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) 2))) (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 (neg.f64 (*.f64 (+.f64 f n) (sqrt.f64 (-.f64 f n)))) (sqrt.f64 (-.f64 f n)))
(*.f64 (neg.f64 (*.f64 (+.f64 f n) (pow.f64 (cbrt.f64 (-.f64 f n)) 2))) (cbrt.f64 (-.f64 f n)))
(/.f64 1 (/.f64 (fma.f64 f f (*.f64 n n)) (-.f64 (pow.f64 f 4) (pow.f64 n 4))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 n 4) (+.f64 (pow.f64 f 4) (pow.f64 (*.f64 f n) 2))) (-.f64 (pow.f64 f 6) (pow.f64 n 6))))
(/.f64 (-.f64 (pow.f64 f 4) (pow.f64 n 4)) (fma.f64 f f (*.f64 n n)))
(/.f64 (-.f64 (pow.f64 f 6) (pow.f64 n 6)) (+.f64 (pow.f64 n 4) (+.f64 (pow.f64 f 4) (pow.f64 (*.f64 f n) 2))))
(/.f64 (-.f64 (pow.f64 f 6) (pow.f64 n 6)) (neg.f64 (+.f64 (pow.f64 n 4) (+.f64 (pow.f64 f 4) (pow.f64 (*.f64 f n) 2)))))
(/.f64 (*.f64 (+.f64 f n) (-.f64 (*.f64 f f) (*.f64 n n))) (+.f64 f n))
(/.f64 (*.f64 (+.f64 f n) (-.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 f f (*.f64 n (+.f64 f n))))
(/.f64 -1 (/.f64 (fma.f64 f f (*.f64 n n)) (-.f64 (pow.f64 f 4) (pow.f64 n 4))))
(/.f64 -1 (/.f64 (+.f64 (pow.f64 n 4) (+.f64 (pow.f64 f 4) (pow.f64 (*.f64 f n) 2))) (-.f64 (pow.f64 f 6) (pow.f64 n 6))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 f f) (*.f64 n n)) 2) (*.f64 (*.f64 (*.f64 n n) 0) (*.f64 (*.f64 n n) 0))) (-.f64 (*.f64 f f) (*.f64 n n)))
(/.f64 (-.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.f64 f f (*.f64 n n)))
(/.f64 (+.f64 (pow.f64 f 6) (pow.f64 (*.f64 n (neg.f64 n)) 3)) (+.f64 (pow.f64 f 4) (-.f64 (pow.f64 n 4) (neg.f64 (pow.f64 (*.f64 f n) 2)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 f f) (*.f64 n n)) 3) (pow.f64 (*.f64 (*.f64 n n) 0) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 f f) (*.f64 n n)) 2) (*.f64 (*.f64 (*.f64 n n) 0) (-.f64 (*.f64 (*.f64 n n) 0) (-.f64 (*.f64 f f) (*.f64 n n))))))
(/.f64 (-.f64 (pow.f64 n 6) (pow.f64 f 6)) (+.f64 (pow.f64 n 4) (+.f64 (pow.f64 f 4) (pow.f64 (*.f64 f n) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 n 6) (pow.f64 f 6))) (+.f64 (pow.f64 n 4) (+.f64 (pow.f64 f 4) (pow.f64 (*.f64 f n) 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 (pow.f64 f 3) (pow.f64 n 3)))) (fma.f64 f f (*.f64 n (+.f64 f n))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (*.f64 f f) (*.f64 n n)) 2) (*.f64 (*.f64 (*.f64 n n) 0) (*.f64 (*.f64 n n) 0)))) (-.f64 (*.f64 f f) (*.f64 n n)))
(/.f64 (neg.f64 (+.f64 (pow.f64 f 6) (pow.f64 (*.f64 n (neg.f64 n)) 3))) (+.f64 (pow.f64 f 4) (-.f64 (pow.f64 n 4) (neg.f64 (pow.f64 (*.f64 f n) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (*.f64 f f) (*.f64 n n)) 3) (pow.f64 (*.f64 (*.f64 n n) 0) 3))) (+.f64 (pow.f64 (-.f64 (*.f64 f f) (*.f64 n n)) 2) (*.f64 (*.f64 (*.f64 n n) 0) (-.f64 (*.f64 (*.f64 n n) 0) (-.f64 (*.f64 f f) (*.f64 n n))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 n 4) (pow.f64 f 4))) (fma.f64 f f (*.f64 n n)))
(pow.f64 (-.f64 (*.f64 f f) (*.f64 n n)) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 f f) (*.f64 n n)) 3) 1/3)
(neg.f64 (-.f64 (*.f64 f f) (*.f64 n n)))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 f f) (*.f64 n n)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 f n)) (-.f64 f n)))
(log.f64 (/.f64 (pow.f64 (exp.f64 n) n) (pow.f64 (exp.f64 f) f)))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (+.f64 f n)) (-.f64 f n))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 f f) (*.f64 n n)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 f f) (*.f64 n n)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 f f) (*.f64 n n))))
(exp.f64 (log.f64 (-.f64 (*.f64 f f) (*.f64 n n))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 f f) (*.f64 n n))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 f f (*.f64 n (neg.f64 n)))
(fma.f64 n n (*.f64 f (neg.f64 f)))
(fma.f64 (+.f64 f n) (-.f64 f n) (*.f64 (*.f64 n n) 0))
(fma.f64 1 (*.f64 f f) (*.f64 n (neg.f64 n)))
(fma.f64 1 (*.f64 n n) (*.f64 f (neg.f64 f)))
(fma.f64 1 (-.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (*.f64 n n) 0))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (sqrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (*.f64 n n) 0))
(fma.f64 (cbrt.f64 (pow.f64 n 4)) (cbrt.f64 (*.f64 n n)) (*.f64 f (neg.f64 f)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) 2) (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (*.f64 n n) 0))
(fma.f64 (cbrt.f64 (pow.f64 f 4)) (cbrt.f64 (*.f64 f f)) (*.f64 n (neg.f64 n)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 f n)))) 1)
(-.f64 (/.f64 (*.f64 f f) (pow.f64 (-.f64 f n) 2)) (/.f64 (*.f64 n n) (pow.f64 (-.f64 f n) 2)))
(-.f64 (/.f64 (/.f64 f (/.f64 (-.f64 f n) f)) (-.f64 f n)) (/.f64 (/.f64 (*.f64 n n) (-.f64 f n)) (-.f64 f n)))
(*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (/.f64 1 (-.f64 f n)) (/.f64 1 (-.f64 f n))))
(*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (pow.f64 (-.f64 f n) 2)))
(*.f64 (+.f64 f n) (/.f64 1 (-.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) 1)
(*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n)))
(*.f64 1 (/.f64 (+.f64 f n) (-.f64 f n)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 f n))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 f n))))
(*.f64 (sqrt.f64 (+.f64 f n)) (*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 f n))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 f n))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 f n))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 f n))) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 f n))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 f n))))
(*.f64 (/.f64 1 (-.f64 f n)) (+.f64 f n))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 f n))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 f n))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 f n))))
(*.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) 1) (/.f64 (/.f64 1 (-.f64 f n)) (-.f64 f n)))
(*.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (sqrt.f64 (-.f64 f n))) (/.f64 (/.f64 1 (-.f64 f n)) (sqrt.f64 (-.f64 f n))))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (*.f64 f f) (*.f64 n n))) (+.f64 f n))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 f f (*.f64 n (+.f64 f n))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) 2) (-.f64 f n)) (/.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (-.f64 f n)))
(*.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (/.f64 (/.f64 1 (-.f64 f n)) (cbrt.f64 (-.f64 f n))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) 1) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 f n)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 f n))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 f n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (-.f64 f n))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 f n))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 f n))))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 f n))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 f n))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) -1)
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 f n))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 f n)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 f n) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 f n))))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 f n))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 f n))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 f n))))
Outputs
(*.f64 -1 n)
(neg.f64 n)
(+.f64 (*.f64 -1 f) (*.f64 -1 n))
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(log.f64 (pow.f64 (exp.f64 (+.f64 f n)) (-.f64 f n)))
(-.f64 (*.f64 f f) (*.f64 n n))
(fma.f64 n (neg.f64 n) (*.f64 f f))
(log.f64 (/.f64 (pow.f64 (exp.f64 n) n) (pow.f64 (exp.f64 f) f)))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (+.f64 f n)) (-.f64 f n))))
(fma.f64 n n (neg.f64 (*.f64 f f)))
(fma.f64 n n (*.f64 f (neg.f64 f)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 f f) (*.f64 n n)))))
(-.f64 (*.f64 f f) (*.f64 n n))
(fma.f64 n (neg.f64 n) (*.f64 f f))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 f f) (*.f64 n n)) 3))
(-.f64 (*.f64 f f) (*.f64 n n))
(fma.f64 n (neg.f64 n) (*.f64 f f))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 f f) (*.f64 n n))))
(-.f64 (*.f64 f f) (*.f64 n n))
(fma.f64 n (neg.f64 n) (*.f64 f f))
(exp.f64 (log.f64 (-.f64 (*.f64 f f) (*.f64 n n))))
(-.f64 (*.f64 f f) (*.f64 n n))
(fma.f64 n (neg.f64 n) (*.f64 f f))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 f f) (*.f64 n n))) 1))
(-.f64 (*.f64 f f) (*.f64 n n))
(fma.f64 n (neg.f64 n) (*.f64 f f))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 f f) (*.f64 n n))))
(-.f64 (*.f64 f f) (*.f64 n n))
(fma.f64 n (neg.f64 n) (*.f64 f f))
(fma.f64 f f (*.f64 n (neg.f64 n)))
(-.f64 (*.f64 f f) (*.f64 n n))
(fma.f64 n (neg.f64 n) (*.f64 f f))
(fma.f64 n n (*.f64 f (neg.f64 f)))
(fma.f64 n n (neg.f64 (*.f64 f f)))
(fma.f64 (+.f64 f n) (-.f64 f n) (*.f64 (*.f64 n n) 0))
(-.f64 (*.f64 f f) (*.f64 n n))
(fma.f64 n (neg.f64 n) (*.f64 f f))
(fma.f64 1 (*.f64 f f) (*.f64 n (neg.f64 n)))
(fma.f64 1 (*.f64 n n) (*.f64 f (neg.f64 f)))
(fma.f64 1 (*.f64 n n) (neg.f64 (*.f64 f f)))
(fma.f64 1 (-.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (*.f64 n n) 0))
(-.f64 (*.f64 f f) (*.f64 n n))
(fma.f64 n (neg.f64 n) (*.f64 f f))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (sqrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (*.f64 n n) 0))
(-.f64 (*.f64 f f) (*.f64 n n))
(fma.f64 n (neg.f64 n) (*.f64 f f))
(fma.f64 (cbrt.f64 (pow.f64 n 4)) (cbrt.f64 (*.f64 n n)) (*.f64 f (neg.f64 f)))
(fma.f64 (cbrt.f64 (pow.f64 n 4)) (cbrt.f64 (*.f64 n n)) (neg.f64 (*.f64 f f)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) 2) (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (*.f64 n n) 0))
(-.f64 (*.f64 f f) (*.f64 n n))
(fma.f64 n (neg.f64 n) (*.f64 f f))
(fma.f64 (cbrt.f64 (pow.f64 f 4)) (cbrt.f64 (*.f64 f f)) (*.f64 n (neg.f64 n)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 f n)))) 1)
(/.f64 (+.f64 n f) (-.f64 f n))
(-.f64 (/.f64 (*.f64 f f) (pow.f64 (-.f64 f n) 2)) (/.f64 (*.f64 n n) (pow.f64 (-.f64 f n) 2)))
(-.f64 (/.f64 (*.f64 f f) (pow.f64 (-.f64 f n) 2)) (/.f64 n (/.f64 (pow.f64 (-.f64 f n) 2) n)))
(-.f64 (*.f64 (/.f64 f (pow.f64 (-.f64 f n) 2)) f) (*.f64 (/.f64 n (pow.f64 (-.f64 f n) 2)) n))
(-.f64 (/.f64 (/.f64 f (/.f64 (-.f64 f n) f)) (-.f64 f n)) (/.f64 (/.f64 (*.f64 n n) (-.f64 f n)) (-.f64 f n)))
(-.f64 (/.f64 (*.f64 f f) (pow.f64 (-.f64 f n) 2)) (/.f64 n (/.f64 (pow.f64 (-.f64 f n) 2) n)))
(-.f64 (*.f64 (/.f64 f (pow.f64 (-.f64 f n) 2)) f) (*.f64 (/.f64 n (pow.f64 (-.f64 f n) 2)) n))
(*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (/.f64 1 (-.f64 f n)) (/.f64 1 (-.f64 f n))))
(/.f64 (+.f64 n f) (-.f64 f n))
(*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 1 (pow.f64 (-.f64 f n) 2)))
(/.f64 (+.f64 n f) (-.f64 f n))
(*.f64 (+.f64 f n) (/.f64 1 (-.f64 f n)))
(/.f64 (+.f64 n f) (-.f64 f n))
(*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) 1)
(/.f64 (+.f64 n f) (-.f64 f n))
(*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (+.f64 n f) (-.f64 f n))
(*.f64 1 (/.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (+.f64 n f) (-.f64 f n))
(*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 f n))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 f n))))
(/.f64 (+.f64 n f) (-.f64 f n))
(*.f64 (sqrt.f64 (+.f64 f n)) (*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 f n))))
(/.f64 (+.f64 n f) (-.f64 f n))
(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 f n))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 f n))) 2))
(/.f64 (+.f64 n f) (-.f64 f n))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 f n))) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 f n))))
(/.f64 (+.f64 n f) (-.f64 f n))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 f n))))
(/.f64 (+.f64 n f) (-.f64 f n))
(*.f64 (/.f64 1 (-.f64 f n)) (+.f64 f n))
(/.f64 (+.f64 n f) (-.f64 f n))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 f n))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 f n))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 f n))) (/.f64 (+.f64 n f) (sqrt.f64 (-.f64 f n))))
(/.f64 (/.f64 (+.f64 n f) (sqrt.f64 (-.f64 f n))) (sqrt.f64 (-.f64 f n)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 f n))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 f n))))
(/.f64 (/.f64 (+.f64 n f) (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (cbrt.f64 (-.f64 f n)))
(*.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) 1) (/.f64 (/.f64 1 (-.f64 f n)) (-.f64 f n)))
(/.f64 (+.f64 n f) (-.f64 f n))
(*.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (sqrt.f64 (-.f64 f n))) (/.f64 (/.f64 1 (-.f64 f n)) (sqrt.f64 (-.f64 f n))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 f n))) (/.f64 (+.f64 n f) (sqrt.f64 (-.f64 f n))))
(/.f64 (/.f64 (+.f64 n f) (sqrt.f64 (-.f64 f n))) (sqrt.f64 (-.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (*.f64 f f) (*.f64 n n))) (+.f64 f n))
(/.f64 (+.f64 n f) (-.f64 f n))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 f f (*.f64 n (+.f64 f n))))
(*.f64 (fma.f64 f f (*.f64 n (+.f64 n f))) (/.f64 (+.f64 n f) (-.f64 (pow.f64 f 3) (pow.f64 n 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) 2) (-.f64 f n)) (/.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (-.f64 f n)))
(/.f64 (+.f64 n f) (-.f64 f n))
(*.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (/.f64 (/.f64 1 (-.f64 f n)) (cbrt.f64 (-.f64 f n))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 f n))))
(/.f64 (/.f64 (+.f64 n f) (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (cbrt.f64 (-.f64 f n)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) 1) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 f n)))
(/.f64 (+.f64 n f) (-.f64 f n))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 f n))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 f n))))
(/.f64 (/.f64 (+.f64 n f) (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (cbrt.f64 (-.f64 f n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 f n)))
(/.f64 (+.f64 n f) (-.f64 f n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (-.f64 f n))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 f n))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 f n))) (/.f64 (+.f64 n f) (sqrt.f64 (-.f64 f n))))
(/.f64 (/.f64 (+.f64 n f) (sqrt.f64 (-.f64 f n))) (sqrt.f64 (-.f64 f n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 f n))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 f n))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (pow.f64 (cbrt.f64 (-.f64 f n)) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 f n)))) (pow.f64 (cbrt.f64 (-.f64 f n)) 2))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) 1)
(/.f64 (+.f64 n f) (-.f64 f n))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 f n))) 2)
(/.f64 (+.f64 n f) (-.f64 f n))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 f n))) 3)
(/.f64 (+.f64 n f) (-.f64 f n))
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) 3) 1/3)
(/.f64 (+.f64 n f) (-.f64 f n))
(pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) -1)
(/.f64 (+.f64 n f) (-.f64 f n))
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (-.f64 (neg.f64 n) f) (-.f64 f n))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 f n))))
(/.f64 (+.f64 n f) (-.f64 f n))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 f n)))))
(/.f64 (+.f64 n f) (-.f64 f n))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) 3))
(/.f64 (+.f64 n f) (-.f64 f n))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 f n) 3)))
(/.f64 (+.f64 n f) (-.f64 f n))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 f n))))
(/.f64 (+.f64 n f) (-.f64 f n))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 f n))))
(/.f64 (+.f64 n f) (-.f64 f n))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 f n))) 1))
(/.f64 (+.f64 n f) (-.f64 f n))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 f n))))
(/.f64 (+.f64 n f) (-.f64 f n))

eval750.0ms (7.6%)

Compiler

Compiled 61021 to 26530 computations (56.5% saved)

prune1.3s (12.9%)

Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New214932152
Fresh022
Picked011
Done156
Total2150112161
Error
0b
Counts
2161 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
✓30.3b
(/.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 n f)) (-.f64 f n))
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
▶32.8b
(/.f64 (neg.f64 n) (-.f64 f n))
▶30.6b
(/.f64 (neg.f64 f) (-.f64 f n))
✓0.0b
(-.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 1)
✓32.4b
(+.f64 (*.f64 2 (/.f64 f n)) 1)
▶31.2b
(+.f64 -1 (*.f64 -2 (+.f64 (/.f64 n f) (/.f64 n (/.f64 f (/.f64 n f))))))
✓31.5b
(*.f64 (pow.f64 (pow.f64 (-.f64 n f) -1/2) 2) (+.f64 f n))
✓0.2b
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
33.5b
1
31.3b
-1
Compiler

Compiled 111 to 72 computations (35.1% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 -2 (+.f64 (/.f64 n f) (/.f64 n (/.f64 f (/.f64 n f)))))
✓0.1b
(/.f64 f (/.f64 n f))
✓3.0b
(+.f64 (/.f64 n f) (/.f64 n (/.f64 f (/.f64 n f))))
✓4.3b
(/.f64 n (/.f64 f (/.f64 n f)))
Compiler

Compiled 60 to 14 computations (76.7% saved)

series4.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite98.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
940×associate-/l/
686×distribute-rgt-in
654×distribute-lft-in
612×distribute-lft-neg-in
570×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010100
123982
2386082
Stop Event
1×node limit
Counts
4 → 234
Calls
Call 1
Inputs
(/.f64 n (/.f64 f (/.f64 n f)))
(+.f64 (/.f64 n f) (/.f64 n (/.f64 f (/.f64 n f))))
(/.f64 f (/.f64 n f))
(*.f64 -2 (+.f64 (/.f64 n f) (/.f64 n (/.f64 f (/.f64 n f)))))
Outputs
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simplify125.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1216×associate-*l*
1064×associate-*r*
1052×associate-/r*
792×times-frac
708×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058310284
116848514
Stop Event
1×node limit
Counts
330 → 317
Calls
Call 1
Inputs
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 n f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(/.f64 n f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(/.f64 n f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(/.f64 (pow.f64 f 2) n)
(/.f64 (pow.f64 f 2) n)
(/.f64 (pow.f64 f 2) n)
(/.f64 (pow.f64 f 2) n)
(/.f64 (pow.f64 f 2) n)
(/.f64 (pow.f64 f 2) n)
(/.f64 (pow.f64 f 2) n)
(/.f64 (pow.f64 f 2) n)
(/.f64 (pow.f64 f 2) n)
(/.f64 (pow.f64 f 2) n)
(/.f64 (pow.f64 f 2) n)
(/.f64 (pow.f64 f 2) n)
(/.f64 (pow.f64 f 2) n)
(/.f64 (pow.f64 f 2) n)
(/.f64 (pow.f64 f 2) n)
(/.f64 (pow.f64 f 2) n)
(/.f64 (pow.f64 f 2) n)
(/.f64 (pow.f64 f 2) n)
(/.f64 (pow.f64 f 2) n)
(/.f64 (pow.f64 f 2) n)
(/.f64 (pow.f64 f 2) n)
(/.f64 (pow.f64 f 2) n)
(/.f64 (pow.f64 f 2) n)
(/.f64 (pow.f64 f 2) n)
(*.f64 -2 (/.f64 n f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (/.f64 n f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (/.f64 n f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 n f) 2))) 1)
(*.f64 n (/.f64 n (*.f64 f f)))
(*.f64 (/.f64 n f) (/.f64 n f))
(*.f64 (pow.f64 (/.f64 n f) 2) 1)
(*.f64 1 (pow.f64 (/.f64 n f) 2))
(*.f64 (sqrt.f64 (/.f64 n f)) (*.f64 (sqrt.f64 (/.f64 n f)) (/.f64 n f)))
(*.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (/.f64 n (*.f64 f f))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 n f)) 2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 n f)) 2) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 n f)) 2) (*.f64 (cbrt.f64 (/.f64 n f)) (/.f64 n f)))
(*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 n (*.f64 f f))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 n f)) 2) 2) (pow.f64 (cbrt.f64 (/.f64 n f)) 2))
(*.f64 (*.f64 n n) (*.f64 (/.f64 1 f) (/.f64 1 f)))
(*.f64 (/.f64 1 f) (/.f64 n (/.f64 f n)))
(*.f64 (/.f64 n (*.f64 f f)) n)
(*.f64 (neg.f64 n) (/.f64 1 (*.f64 (/.f64 f n) (neg.f64 f))))
(*.f64 (/.f64 n (neg.f64 f)) (/.f64 n (neg.f64 f)))
(*.f64 (*.f64 (/.f64 n f) (sqrt.f64 (/.f64 n f))) (sqrt.f64 (/.f64 n f)))
(*.f64 (*.f64 (/.f64 n f) n) (/.f64 1 f))
(*.f64 (*.f64 (/.f64 n f) (pow.f64 (cbrt.f64 (/.f64 n f)) 2)) (cbrt.f64 (/.f64 n f)))
(*.f64 (/.f64 n 1) (/.f64 n (*.f64 f f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 f (/.f64 f n))) 2)) (/.f64 n (cbrt.f64 (*.f64 f (/.f64 f n)))))
(*.f64 (/.f64 (sqrt.f64 n) f) (/.f64 n (sqrt.f64 (*.f64 f (/.f64 f n)))))
(*.f64 (/.f64 (sqrt.f64 n) f) (/.f64 (sqrt.f64 n) (/.f64 f n)))
(*.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (*.f64 f (/.f64 f n))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) (*.f64 f (/.f64 f n))))
(*.f64 (/.f64 (sqrt.f64 n) (/.f64 f n)) (/.f64 (sqrt.f64 n) f))
(*.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (*.f64 f (/.f64 f n))) 2)) (/.f64 (sqrt.f64 n) (cbrt.f64 (*.f64 f (/.f64 f n)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) f) (/.f64 (cbrt.f64 n) (/.f64 f n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (*.f64 f (/.f64 f n)))) (/.f64 (cbrt.f64 n) (sqrt.f64 (*.f64 f (/.f64 f n)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (*.f64 f (/.f64 f n))) 2)) (pow.f64 (cbrt.f64 (/.f64 n f)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 f n)) (/.f64 (cbrt.f64 n) f))
(pow.f64 (/.f64 n f) 2)
(pow.f64 (pow.f64 (/.f64 n f) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 n f)) 2) 3)
(pow.f64 (*.f64 (/.f64 f n) (/.f64 f n)) -1)
(pow.f64 (pow.f64 (pow.f64 (/.f64 n f) 2) 3) 1/3)
(neg.f64 (/.f64 n (*.f64 (/.f64 f n) (neg.f64 f))))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 n f) 2) 2))
(log.f64 (exp.f64 (pow.f64 (/.f64 n f) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 n f) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 n f) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 n f) 2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 n f) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 n f) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 n f) 2)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 n f) 2))) (-.f64 1 (/.f64 n f)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 n f))) (-.f64 1 (pow.f64 (/.f64 n f) 2)))
(-.f64 (/.f64 (pow.f64 (/.f64 n f) 2) (-.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2))) (/.f64 (pow.f64 (pow.f64 (/.f64 n f) 2) 2) (-.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2))))
(-.f64 (+.f64 (/.f64 n f) (exp.f64 (log1p.f64 (pow.f64 (/.f64 n f) 2)))) 1)
(-.f64 (+.f64 (pow.f64 (/.f64 n f) 2) (exp.f64 (log1p.f64 (/.f64 n f)))) 1)
(*.f64 n (+.f64 (/.f64 1 f) (/.f64 n (*.f64 f f))))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(*.f64 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2)) 1)
(*.f64 1 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2)))
(*.f64 (hypot.f64 (/.f64 n f) (sqrt.f64 (/.f64 n f))) (hypot.f64 (/.f64 n f) (sqrt.f64 (/.f64 n f))))
(*.f64 (sqrt.f64 (/.f64 n f)) (+.f64 (sqrt.f64 (/.f64 n f)) (*.f64 (sqrt.f64 (/.f64 n f)) (/.f64 n f))))
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(expm1.f64 (log1p.f64 (*.f64 f (/.f64 f n))))
(exp.f64 (log.f64 (*.f64 f (/.f64 f n))))
(exp.f64 (*.f64 (log.f64 (*.f64 f (/.f64 f n))) 1))
(log1p.f64 (expm1.f64 (*.f64 f (/.f64 f n))))
(+.f64 (/.f64 -2 (/.f64 f n)) (*.f64 (pow.f64 (/.f64 n f) 2) -2))
(+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) -2) (/.f64 -2 (/.f64 f n)))
(+.f64 (*.f64 (/.f64 -2 (/.f64 f n)) 1) (*.f64 (*.f64 (pow.f64 (/.f64 n f) 2) -2) 1))
(+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 n f) 2) -2) 1) (*.f64 (/.f64 -2 (/.f64 f n)) 1))
(+.f64 (*.f64 1 (*.f64 (/.f64 -2 (/.f64 f n)) 1)) (*.f64 1 (*.f64 (*.f64 (pow.f64 (/.f64 n f) 2) -2) 1)))
(+.f64 (*.f64 (*.f64 (/.f64 -2 (/.f64 f n)) 1) 1) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 n f) 2) -2) 1) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 n f) (+.f64 -2 (/.f64 -2 (/.f64 f n)))))) 1)
(/.f64 (*.f64 -2 (-.f64 (pow.f64 (/.f64 n f) 2) (pow.f64 (pow.f64 (/.f64 n f) 2) 2))) (-.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2)))
(/.f64 (*.f64 -2 (+.f64 (pow.f64 (pow.f64 (/.f64 n f) 2) 3) (pow.f64 (/.f64 n f) 3))) (+.f64 (pow.f64 (/.f64 n f) 2) (*.f64 (pow.f64 (/.f64 n f) 3) (-.f64 (/.f64 n f) 1))))
(/.f64 (*.f64 -2 (*.f64 n (+.f64 (*.f64 f (/.f64 f n)) f))) (*.f64 f (*.f64 f (/.f64 f n))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 n f) 2) (pow.f64 (pow.f64 (/.f64 n f) 2) 2)) -2) (-.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 n f) 2) 3) (pow.f64 (/.f64 n f) 3)) -2) (+.f64 (pow.f64 (/.f64 n f) 2) (*.f64 (pow.f64 (/.f64 n f) 3) (-.f64 (/.f64 n f) 1))))
(/.f64 (*.f64 (*.f64 n (+.f64 (*.f64 f (/.f64 f n)) f)) -2) (*.f64 f (*.f64 f (/.f64 f n))))
(/.f64 (-.f64 (*.f64 (/.f64 -2 (/.f64 f n)) (/.f64 -2 (/.f64 f n))) (*.f64 (*.f64 (pow.f64 (/.f64 n f) 2) -2) (*.f64 (pow.f64 (/.f64 n f) 2) -2))) (*.f64 (/.f64 n f) (-.f64 -2 (/.f64 -2 (/.f64 f n)))))
(/.f64 (+.f64 (pow.f64 (/.f64 -2 (/.f64 f n)) 3) (pow.f64 (*.f64 (pow.f64 (/.f64 n f) 2) -2) 3)) (+.f64 (*.f64 (/.f64 -2 (/.f64 f n)) (/.f64 -2 (/.f64 f n))) (*.f64 (*.f64 (pow.f64 (/.f64 n f) 2) -2) (-.f64 (*.f64 (pow.f64 (/.f64 n f) 2) -2) (/.f64 -2 (/.f64 f n))))))
(pow.f64 (*.f64 (/.f64 n f) (+.f64 -2 (/.f64 -2 (/.f64 f n)))) 1)
(pow.f64 (*.f64 (hypot.f64 (/.f64 n f) (sqrt.f64 (/.f64 n f))) (sqrt.f64 -2)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 n f) (+.f64 -2 (/.f64 -2 (/.f64 f n))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 n f) (+.f64 -2 (/.f64 -2 (/.f64 f n)))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 n f) (+.f64 -2 (/.f64 -2 (/.f64 f n)))) 2))
(log.f64 (pow.f64 (exp.f64 -2) (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 n f) (+.f64 -2 (/.f64 -2 (/.f64 f n)))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 n f) (+.f64 -2 (/.f64 -2 (/.f64 f n)))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 n f) (+.f64 -2 (/.f64 -2 (/.f64 f n))))))
(exp.f64 (log.f64 (*.f64 (/.f64 n f) (+.f64 -2 (/.f64 -2 (/.f64 f n))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 n f) (+.f64 -2 (/.f64 -2 (/.f64 f n))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 n f) (+.f64 -2 (/.f64 -2 (/.f64 f n))))))
(fma.f64 (/.f64 n f) -2 (*.f64 (pow.f64 (/.f64 n f) 2) -2))
(fma.f64 -2 (/.f64 n f) (*.f64 (pow.f64 (/.f64 n f) 2) -2))
Outputs
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(/.f64 n f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f))
(/.f64 (fma.f64 (/.f64 n f) n n) f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f))
(/.f64 (fma.f64 (/.f64 n f) n n) f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f))
(/.f64 (fma.f64 (/.f64 n f) n n) f)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f))
(/.f64 (fma.f64 (/.f64 n f) n n) f)
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f))
(/.f64 (fma.f64 (/.f64 n f) n n) f)
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f))
(/.f64 (fma.f64 (/.f64 n f) n n) f)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f))
(/.f64 (fma.f64 (/.f64 n f) n n) f)
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f))
(/.f64 (fma.f64 (/.f64 n f) n n) f)
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f))
(/.f64 (fma.f64 (/.f64 n f) n n) f)
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f))
(/.f64 (fma.f64 (/.f64 n f) n n) f)
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f))
(/.f64 (fma.f64 (/.f64 n f) n n) f)
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f))
(/.f64 (fma.f64 (/.f64 n f) n n) f)
(/.f64 n f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f))
(/.f64 (fma.f64 (/.f64 n f) n n) f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f))
(/.f64 (fma.f64 (/.f64 n f) n n) f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f))
(/.f64 (fma.f64 (/.f64 n f) n n) f)
(/.f64 n f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f))
(/.f64 (fma.f64 (/.f64 n f) n n) f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f))
(/.f64 (fma.f64 (/.f64 n f) n n) f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f))
(/.f64 (fma.f64 (/.f64 n f) n n) f)
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(/.f64 (pow.f64 f 2) n)
(*.f64 f (/.f64 f n))
(*.f64 -2 (/.f64 n f))
(*.f64 (/.f64 n f) -2)
(*.f64 n (/.f64 -2 f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(*.f64 (/.f64 (*.f64 n n) (*.f64 f f)) -2)
(*.f64 -2 (pow.f64 (/.f64 n f) 2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(*.f64 (/.f64 (*.f64 n n) (*.f64 f f)) -2)
(*.f64 -2 (pow.f64 (/.f64 n f) 2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(*.f64 (/.f64 (*.f64 n n) (*.f64 f f)) -2)
(*.f64 -2 (pow.f64 (/.f64 n f) 2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(*.f64 -2 (/.f64 n f))
(*.f64 (/.f64 n f) -2)
(*.f64 n (/.f64 -2 f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(*.f64 -2 (/.f64 n f))
(*.f64 (/.f64 n f) -2)
(*.f64 n (/.f64 -2 f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 n f) 2))) 1)
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(*.f64 n (/.f64 n (*.f64 f f)))
(/.f64 (*.f64 n n) (*.f64 f f))
(pow.f64 (/.f64 n f) 2)
(*.f64 (/.f64 n f) (/.f64 n f))
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(*.f64 (/.f64 -2 f) (/.f64 (*.f64 n (fma.f64 f (/.f64 f n) f)) (*.f64 f (/.f64 f n))))
(*.f64 (pow.f64 (/.f64 n f) 2) (/.f64 (*.f64 -2 (fma.f64 f (/.f64 f n) f)) f))
(/.f64 (-.f64 (*.f64 (/.f64 -2 (/.f64 f n)) (/.f64 -2 (/.f64 f n))) (*.f64 (*.f64 (pow.f64 (/.f64 n f) 2) -2) (*.f64 (pow.f64 (/.f64 n f) 2) -2))) (*.f64 (/.f64 n f) (-.f64 -2 (/.f64 -2 (/.f64 f n)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 -2 f) n) (*.f64 (/.f64 -2 f) n)) (*.f64 (pow.f64 (pow.f64 (/.f64 n f) 2) 2) 4)) (*.f64 (/.f64 n f) (-.f64 -2 (*.f64 (/.f64 -2 f) n))))
(*.f64 (/.f64 (+.f64 (*.f64 4 (pow.f64 (/.f64 n f) 2)) (*.f64 (pow.f64 (/.f64 n f) 4) -4)) (*.f64 n (+.f64 -2 (/.f64 2 (/.f64 f n))))) f)
(/.f64 (+.f64 (pow.f64 (/.f64 -2 (/.f64 f n)) 3) (pow.f64 (*.f64 (pow.f64 (/.f64 n f) 2) -2) 3)) (+.f64 (*.f64 (/.f64 -2 (/.f64 f n)) (/.f64 -2 (/.f64 f n))) (*.f64 (*.f64 (pow.f64 (/.f64 n f) 2) -2) (-.f64 (*.f64 (pow.f64 (/.f64 n f) 2) -2) (/.f64 -2 (/.f64 f n))))))
(/.f64 (+.f64 (/.f64 -8 (pow.f64 (/.f64 f n) 3)) (*.f64 (pow.f64 (pow.f64 (/.f64 n f) 2) 3) -8)) (fma.f64 (*.f64 (/.f64 -2 f) n) (*.f64 (/.f64 -2 f) n) (*.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2)) (-.f64 (*.f64 -2 (pow.f64 (/.f64 n f) 2)) (*.f64 (/.f64 -2 f) n)))))
(/.f64 (+.f64 (/.f64 -8 (pow.f64 (/.f64 f n) 3)) (*.f64 (pow.f64 (/.f64 n f) 6) -8)) (+.f64 (*.f64 4 (pow.f64 (/.f64 n f) 2)) (*.f64 (pow.f64 (/.f64 n f) 2) (*.f64 -2 (fma.f64 (pow.f64 (/.f64 n f) 2) -2 (/.f64 2 (/.f64 f n)))))))
(pow.f64 (*.f64 (/.f64 n f) (+.f64 -2 (/.f64 -2 (/.f64 f n)))) 1)
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(pow.f64 (*.f64 (hypot.f64 (/.f64 n f) (sqrt.f64 (/.f64 n f))) (sqrt.f64 -2)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 n f) (+.f64 -2 (/.f64 -2 (/.f64 f n))))) 3)
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(pow.f64 (pow.f64 (*.f64 (/.f64 n f) (+.f64 -2 (/.f64 -2 (/.f64 f n)))) 3) 1/3)
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 n f) (+.f64 -2 (/.f64 -2 (/.f64 f n)))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 n f) (+.f64 -2 (*.f64 (/.f64 -2 f) n))) 2))
(fabs.f64 (*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f)))
(log.f64 (pow.f64 (exp.f64 -2) (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2))))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 n f) (+.f64 -2 (/.f64 -2 (/.f64 f n)))))))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 n f) (+.f64 -2 (/.f64 -2 (/.f64 f n)))) 3))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 n f) (+.f64 -2 (/.f64 -2 (/.f64 f n))))))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(exp.f64 (log.f64 (*.f64 (/.f64 n f) (+.f64 -2 (/.f64 -2 (/.f64 f n))))))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 n f) (+.f64 -2 (/.f64 -2 (/.f64 f n))))) 1))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 n f) (+.f64 -2 (/.f64 -2 (/.f64 f n))))))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(fma.f64 (/.f64 n f) -2 (*.f64 (pow.f64 (/.f64 n f) 2) -2))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))
(fma.f64 -2 (/.f64 n f) (*.f64 (pow.f64 (/.f64 n f) 2) -2))
(*.f64 -2 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 n f)))
(*.f64 -2 (/.f64 (fma.f64 (/.f64 n f) n n) f))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 15 to 5 computations (66.7% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite63.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1862×add-sqr-sqrt
1846×*-un-lft-identity
1728×add-cube-cbrt
1708×add-cbrt-cube
188×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
117913
2267713
Stop Event
1×node limit
Counts
1 → 39
Calls
Call 1
Inputs
(/.f64 (neg.f64 f) (-.f64 f n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 f (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 f (-.f64 f n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (-.f64 f n)) (/.f64 f (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 f (/.f64 1 (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 f (/.f64 1 (neg.f64 (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 f (-.f64 f n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 f (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 f (-.f64 f n))) (sqrt.f64 (/.f64 f (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 f) (*.f64 (sqrt.f64 f) (/.f64 1 (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 f (-.f64 f n))) (pow.f64 (cbrt.f64 (/.f64 f (-.f64 f n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 f (-.f64 f n))) 2) (cbrt.f64 (/.f64 f (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 f) 2) (*.f64 (cbrt.f64 f) (/.f64 1 (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 f (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 f n)) f)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 f n))) (/.f64 f (sqrt.f64 (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (/.f64 f (cbrt.f64 (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 f (-.f64 (*.f64 f f) (*.f64 n n))) (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 f (-.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 f f (*.f64 n (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (-.f64 f n))) (/.f64 f (sqrt.f64 (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (/.f64 f (cbrt.f64 (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 f) 1) (/.f64 (sqrt.f64 f) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (/.f64 (sqrt.f64 f) (cbrt.f64 (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) 1) (/.f64 (cbrt.f64 f) (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (-.f64 f n))) (/.f64 (cbrt.f64 f) (sqrt.f64 (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (cbrt.f64 (/.f64 f (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 f (-.f64 f n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 f (-.f64 f n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 f (-.f64 f n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 f (-.f64 f n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 f n) f) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 f (-.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 f (-.f64 f n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 f (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 f (-.f64 f n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 f (-.f64 f n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 f (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 f (-.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 f (-.f64 f n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 f (-.f64 f n))))))))

simplify77.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1064×associate-+r+
912×associate-+l+
778×associate-/l*
768×times-frac
636×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01301705
13471653
213671465
356391465
Stop Event
1×node limit
Counts
63 → 82
Calls
Call 1
Inputs
(/.f64 f n)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 4)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1)
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1)
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1)
(/.f64 f n)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 4)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(/.f64 f n)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 4) (pow.f64 n 4)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(-.f64 0 (/.f64 f (-.f64 f n)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 f (-.f64 f n)))) 1)
(-.f64 (/.f64 0 (-.f64 f n)) (/.f64 f (-.f64 f n)))
(*.f64 f (/.f64 1 (-.f64 f n)))
(*.f64 f (/.f64 1 (neg.f64 (-.f64 f n))))
(*.f64 (/.f64 f (-.f64 f n)) 1)
(*.f64 1 (/.f64 f (-.f64 f n)))
(*.f64 (sqrt.f64 (/.f64 f (-.f64 f n))) (sqrt.f64 (/.f64 f (-.f64 f n))))
(*.f64 (sqrt.f64 f) (*.f64 (sqrt.f64 f) (/.f64 1 (-.f64 f n))))
(*.f64 (cbrt.f64 (/.f64 f (-.f64 f n))) (pow.f64 (cbrt.f64 (/.f64 f (-.f64 f n))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 f (-.f64 f n))) 2) (cbrt.f64 (/.f64 f (-.f64 f n))))
(*.f64 (pow.f64 (cbrt.f64 f) 2) (*.f64 (cbrt.f64 f) (/.f64 1 (-.f64 f n))))
(*.f64 -1 (/.f64 f (-.f64 f n)))
(*.f64 (/.f64 1 (-.f64 f n)) f)
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 f n))) (/.f64 f (sqrt.f64 (-.f64 f n))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (/.f64 f (cbrt.f64 (-.f64 f n))))
(*.f64 (/.f64 f (-.f64 (*.f64 f f) (*.f64 n n))) (+.f64 f n))
(*.f64 (/.f64 f (-.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 f f (*.f64 n (+.f64 f n))))
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 f n))) (/.f64 f (sqrt.f64 (-.f64 f n))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (/.f64 f (cbrt.f64 (-.f64 f n))))
(*.f64 (/.f64 (sqrt.f64 f) 1) (/.f64 (sqrt.f64 f) (-.f64 f n)))
(*.f64 (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (/.f64 (sqrt.f64 f) (cbrt.f64 (-.f64 f n))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) 1) (/.f64 (cbrt.f64 f) (-.f64 f n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (-.f64 f n))) (/.f64 (cbrt.f64 f) (sqrt.f64 (-.f64 f n))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (cbrt.f64 (/.f64 f (-.f64 f n))))
(pow.f64 (/.f64 f (-.f64 f n)) 1)
(pow.f64 (sqrt.f64 (/.f64 f (-.f64 f n))) 2)
(pow.f64 (cbrt.f64 (/.f64 f (-.f64 f n))) 3)
(pow.f64 (pow.f64 (/.f64 f (-.f64 f n)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 f n) f) -1)
(neg.f64 (/.f64 f (-.f64 f n)))
(sqrt.f64 (pow.f64 (/.f64 f (-.f64 f n)) 2))
(log.f64 (exp.f64 (/.f64 f (-.f64 f n))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 f (-.f64 f n)))))
(cbrt.f64 (pow.f64 (/.f64 f (-.f64 f n)) 3))
(expm1.f64 (log1p.f64 (/.f64 f (-.f64 f n))))
(exp.f64 (log.f64 (/.f64 f (-.f64 f n))))
(exp.f64 (*.f64 (log.f64 (/.f64 f (-.f64 f n))) 1))
(log1p.f64 (expm1.f64 (/.f64 f (-.f64 f n))))
Outputs
(/.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 (/.f64 f n) 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 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)) (pow.f64 (/.f64 f 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 (/.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 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 4) (pow.f64 n 4)))))
(+.f64 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)) (+.f64 (pow.f64 (/.f64 f n) 3) (/.f64 (pow.f64 f 4) (pow.f64 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 n (/.f64 (*.f64 f f) n))) -1)
(+.f64 -1 (*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f))))
(-.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 n (/.f64 (*.f64 f f) n))))
(+.f64 -1 (-.f64 (*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f))) (pow.f64 (/.f64 n f) 3)))
(-.f64 (-.f64 -1 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) (pow.f64 (/.f64 n f) 3))
-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 n (/.f64 (*.f64 f f) n))) -1)
(+.f64 -1 (*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f))))
(-.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 n (/.f64 (*.f64 f f) n))))
(+.f64 -1 (-.f64 (*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f))) (pow.f64 (/.f64 n f) 3)))
(-.f64 (-.f64 -1 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) (pow.f64 (/.f64 n f) 3))
-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 n (/.f64 (*.f64 f f) n))) -1)
(+.f64 -1 (*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f))))
(-.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 n (/.f64 (*.f64 f f) n))))
(+.f64 -1 (-.f64 (*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f))) (pow.f64 (/.f64 n f) 3)))
(-.f64 (-.f64 -1 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) (pow.f64 (/.f64 n f) 3))
(/.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 (/.f64 f n) 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 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)) (pow.f64 (/.f64 f 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 (/.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 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 4) (pow.f64 n 4)))))
(+.f64 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)) (+.f64 (pow.f64 (/.f64 f n) 3) (/.f64 (pow.f64 f 4) (pow.f64 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 (/.f64 f n) 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 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)) (pow.f64 (/.f64 f 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 (/.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 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 4) (pow.f64 n 4)))))
(+.f64 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)) (+.f64 (pow.f64 (/.f64 f n) 3) (/.f64 (pow.f64 f 4) (pow.f64 n 4))))
(-.f64 0 (/.f64 f (-.f64 f n)))
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 f (-.f64 n f))
(-.f64 (exp.f64 (log1p.f64 (/.f64 f (-.f64 f n)))) 1)
(/.f64 f (-.f64 f n))
(-.f64 (/.f64 0 (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 f (-.f64 n f))
(*.f64 f (/.f64 1 (-.f64 f n)))
(/.f64 f (-.f64 f n))
(*.f64 f (/.f64 1 (neg.f64 (-.f64 f n))))
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 f (-.f64 n f))
(*.f64 (/.f64 f (-.f64 f n)) 1)
(/.f64 f (-.f64 f n))
(*.f64 1 (/.f64 f (-.f64 f n)))
(/.f64 f (-.f64 f n))
(*.f64 (sqrt.f64 (/.f64 f (-.f64 f n))) (sqrt.f64 (/.f64 f (-.f64 f n))))
(/.f64 f (-.f64 f n))
(*.f64 (sqrt.f64 f) (*.f64 (sqrt.f64 f) (/.f64 1 (-.f64 f n))))
(/.f64 f (-.f64 f n))
(*.f64 (cbrt.f64 (/.f64 f (-.f64 f n))) (pow.f64 (cbrt.f64 (/.f64 f (-.f64 f n))) 2))
(/.f64 f (-.f64 f n))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 f (-.f64 f n))) 2) (cbrt.f64 (/.f64 f (-.f64 f n))))
(/.f64 f (-.f64 f n))
(*.f64 (pow.f64 (cbrt.f64 f) 2) (*.f64 (cbrt.f64 f) (/.f64 1 (-.f64 f n))))
(/.f64 f (-.f64 f n))
(*.f64 -1 (/.f64 f (-.f64 f n)))
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 f (-.f64 n f))
(*.f64 (/.f64 1 (-.f64 f n)) f)
(/.f64 f (-.f64 f n))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 f n))) (/.f64 f (sqrt.f64 (-.f64 f n))))
(/.f64 (/.f64 f (sqrt.f64 (-.f64 f n))) (sqrt.f64 (-.f64 f n)))
(/.f64 f (*.f64 (sqrt.f64 (-.f64 f n)) (sqrt.f64 (-.f64 f n))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (/.f64 f (cbrt.f64 (-.f64 f n))))
(/.f64 (/.f64 f (cbrt.f64 (-.f64 f n))) (pow.f64 (cbrt.f64 (-.f64 f n)) 2))
(/.f64 f (*.f64 (pow.f64 (cbrt.f64 (-.f64 f n)) 2) (cbrt.f64 (-.f64 f n))))
(*.f64 (/.f64 f (-.f64 (*.f64 f f) (*.f64 n n))) (+.f64 f n))
(/.f64 (/.f64 (*.f64 f (+.f64 f n)) (+.f64 f n)) (-.f64 f n))
(*.f64 (/.f64 f (-.f64 f n)) (/.f64 (+.f64 f n) (+.f64 f n)))
(*.f64 (/.f64 f (-.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 f f (*.f64 n (+.f64 f n))))
(/.f64 (*.f64 f (fma.f64 f f (*.f64 n (+.f64 f n)))) (-.f64 (pow.f64 f 3) (pow.f64 n 3)))
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 f n))) (/.f64 f (sqrt.f64 (-.f64 f n))))
(*.f64 (/.f64 f (sqrt.f64 (-.f64 f n))) (/.f64 -1 (sqrt.f64 (-.f64 f n))))
(/.f64 (/.f64 (neg.f64 f) (sqrt.f64 (-.f64 f n))) (sqrt.f64 (-.f64 f n)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (/.f64 f (cbrt.f64 (-.f64 f n))))
(*.f64 (/.f64 f (cbrt.f64 (-.f64 f n))) (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 f n)) 2)))
(/.f64 (/.f64 (neg.f64 f) (cbrt.f64 (-.f64 f n))) (pow.f64 (cbrt.f64 (-.f64 f n)) 2))
(/.f64 (/.f64 (neg.f64 f) (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (cbrt.f64 (-.f64 f n)))
(*.f64 (/.f64 (sqrt.f64 f) 1) (/.f64 (sqrt.f64 f) (-.f64 f n)))
(/.f64 f (-.f64 f n))
(*.f64 (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (/.f64 (sqrt.f64 f) (cbrt.f64 (-.f64 f n))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (/.f64 f (cbrt.f64 (-.f64 f n))))
(/.f64 (/.f64 f (cbrt.f64 (-.f64 f n))) (pow.f64 (cbrt.f64 (-.f64 f n)) 2))
(/.f64 f (*.f64 (pow.f64 (cbrt.f64 (-.f64 f n)) 2) (cbrt.f64 (-.f64 f n))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) 1) (/.f64 (cbrt.f64 f) (-.f64 f n)))
(/.f64 f (-.f64 f n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (-.f64 f n))) (/.f64 (cbrt.f64 f) (sqrt.f64 (-.f64 f n))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 f n))) (/.f64 f (sqrt.f64 (-.f64 f n))))
(/.f64 (/.f64 f (sqrt.f64 (-.f64 f n))) (sqrt.f64 (-.f64 f n)))
(/.f64 f (*.f64 (sqrt.f64 (-.f64 f n)) (sqrt.f64 (-.f64 f n))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (-.f64 f n)) 2)) (cbrt.f64 (/.f64 f (-.f64 f n))))
(*.f64 (cbrt.f64 (/.f64 f (-.f64 f n))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (-.f64 f n)) 2)))
(pow.f64 (/.f64 f (-.f64 f n)) 1)
(/.f64 f (-.f64 f n))
(pow.f64 (sqrt.f64 (/.f64 f (-.f64 f n))) 2)
(/.f64 f (-.f64 f n))
(pow.f64 (cbrt.f64 (/.f64 f (-.f64 f n))) 3)
(/.f64 f (-.f64 f n))
(pow.f64 (pow.f64 (/.f64 f (-.f64 f n)) 3) 1/3)
(/.f64 f (-.f64 f n))
(pow.f64 (/.f64 (-.f64 f n) f) -1)
(/.f64 f (-.f64 f n))
(neg.f64 (/.f64 f (-.f64 f n)))
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 f (-.f64 n f))
(sqrt.f64 (pow.f64 (/.f64 f (-.f64 f n)) 2))
(/.f64 f (-.f64 f n))
(log.f64 (exp.f64 (/.f64 f (-.f64 f n))))
(/.f64 f (-.f64 f n))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 f (-.f64 f n)))))
(/.f64 f (-.f64 f n))
(cbrt.f64 (pow.f64 (/.f64 f (-.f64 f n)) 3))
(/.f64 f (-.f64 f n))
(expm1.f64 (log1p.f64 (/.f64 f (-.f64 f n))))
(/.f64 f (-.f64 f n))
(exp.f64 (log.f64 (/.f64 f (-.f64 f n))))
(/.f64 f (-.f64 f n))
(exp.f64 (*.f64 (log.f64 (/.f64 f (-.f64 f n))) 1))
(/.f64 f (-.f64 f n))
(log1p.f64 (expm1.f64 (/.f64 f (-.f64 f n))))
(/.f64 f (-.f64 f n))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 15 to 5 computations (66.7% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite59.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1754×add-sqr-sqrt
1738×*-un-lft-identity
1626×add-cube-cbrt
1606×add-cbrt-cube
186×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
117813
2268713
Stop Event
1×node limit
Counts
1 → 39
Calls
Call 1
Inputs
(/.f64 (neg.f64 n) (-.f64 f n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 n (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 n (+.f64 n f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 n f)) (/.f64 n (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (/.f64 1 (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (/.f64 1 (+.f64 (neg.f64 f) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (+.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 n (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 n (+.f64 n f))) (sqrt.f64 (/.f64 n (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (/.f64 1 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) 2) (cbrt.f64 (/.f64 n (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 1 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 n (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 n f)) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 n f))) (/.f64 n (sqrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 n (cbrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (pow.f64 (+.f64 n f) 2)) (+.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 f f (*.f64 n (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 n f))) (/.f64 n (sqrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 n (cbrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 (sqrt.f64 n) (cbrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (+.f64 n f))) (/.f64 (cbrt.f64 n) (sqrt.f64 (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (/.f64 n (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (+.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 n (+.f64 n f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 n f) n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 n (+.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 n (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 n (+.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 n (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 n (+.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 n (+.f64 n f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 n (+.f64 n f))))))))

simplify63.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1064×associate-+r+
948×associate-+l+
786×associate-/l*
688×times-frac
638×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01271649
13321589
213221409
355891409
Stop Event
1×node limit
Counts
63 → 78
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 n f))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(*.f64 -1 (/.f64 n f))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))))
(*.f64 -1 (/.f64 n f))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))))
(-.f64 0 (/.f64 n (+.f64 n f)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (+.f64 n f)))) 1)
(-.f64 (/.f64 0 (+.f64 n f)) (/.f64 n (+.f64 n f)))
(*.f64 n (/.f64 1 (+.f64 n f)))
(*.f64 n (/.f64 1 (+.f64 (neg.f64 f) n)))
(*.f64 (/.f64 n (+.f64 n f)) 1)
(*.f64 1 (/.f64 n (+.f64 n f)))
(*.f64 (sqrt.f64 (/.f64 n (+.f64 n f))) (sqrt.f64 (/.f64 n (+.f64 n f))))
(*.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (/.f64 1 (+.f64 n f))))
(*.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) 2) (cbrt.f64 (/.f64 n (+.f64 n f))))
(*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 1 (+.f64 n f))))
(*.f64 -1 (/.f64 n (+.f64 n f)))
(*.f64 (/.f64 1 (+.f64 n f)) n)
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 n f))) (/.f64 n (sqrt.f64 (+.f64 n f))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 n (cbrt.f64 (+.f64 n f))))
(*.f64 (/.f64 n (pow.f64 (+.f64 n f) 2)) (+.f64 n f))
(*.f64 (/.f64 n (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 f f (*.f64 n (+.f64 n f))))
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 n f))) (/.f64 n (sqrt.f64 (+.f64 n f))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 n (cbrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (+.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 (sqrt.f64 n) (cbrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) (+.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (+.f64 n f))) (/.f64 (cbrt.f64 n) (sqrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (/.f64 n (+.f64 n f))))
(pow.f64 (/.f64 n (+.f64 n f)) 1)
(pow.f64 (sqrt.f64 (/.f64 n (+.f64 n f))) 2)
(pow.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 n f) n) -1)
(neg.f64 (/.f64 n (+.f64 n f)))
(sqrt.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 n (+.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 n (+.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3))
(expm1.f64 (log1p.f64 (/.f64 n (+.f64 n f))))
(exp.f64 (log.f64 (/.f64 n (+.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 n (+.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 n (+.f64 n f))))
Outputs
(*.f64 -1 (/.f64 n f))
(neg.f64 (/.f64 n f))
(/.f64 (neg.f64 n) f)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (neg.f64 (/.f64 n f)))
(neg.f64 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))))
(*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f))))
(-.f64 (neg.f64 (+.f64 (*.f64 (/.f64 n f) (/.f64 n f)) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))) (/.f64 n f))
(-.f64 (*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f))) (pow.f64 (/.f64 n f) 3))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))))
(fma.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))))
(-.f64 (-.f64 (neg.f64 (+.f64 (*.f64 (/.f64 n f) (/.f64 n f)) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))) (/.f64 n f)) (/.f64 (pow.f64 n 4) (pow.f64 f 4)))
(-.f64 (-.f64 (*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f))) (pow.f64 (/.f64 n f) 3)) (/.f64 (pow.f64 n 4) (pow.f64 f 4)))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (*.f64 f f) (*.f64 n n)))
(+.f64 (/.f64 f n) (+.f64 1 (*.f64 (/.f64 f n) (/.f64 f n))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 f n)) (/.f64 f n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) 1) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 1 (+.f64 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (/.f64 f n) (/.f64 f n))))
(+.f64 1 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 1 (/.f64 f n)) (/.f64 f n))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (*.f64 f f) (*.f64 n n)))
(+.f64 (/.f64 f n) (+.f64 1 (*.f64 (/.f64 f n) (/.f64 f n))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 f n)) (/.f64 f n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) 1) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 1 (+.f64 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (/.f64 f n) (/.f64 f n))))
(+.f64 1 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 1 (/.f64 f n)) (/.f64 f n))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (*.f64 f f) (*.f64 n n)))
(+.f64 (/.f64 f n) (+.f64 1 (*.f64 (/.f64 f n) (/.f64 f n))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 f n)) (/.f64 f n)))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) 1) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))
(+.f64 1 (+.f64 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (/.f64 f n) (/.f64 f n))))
(+.f64 1 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 1 (/.f64 f n)) (/.f64 f n))))
(*.f64 -1 (/.f64 n f))
(neg.f64 (/.f64 n f))
(/.f64 (neg.f64 n) f)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (neg.f64 (/.f64 n f)))
(neg.f64 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))))
(*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f))))
(-.f64 (neg.f64 (+.f64 (*.f64 (/.f64 n f) (/.f64 n f)) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))) (/.f64 n f))
(-.f64 (*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f))) (pow.f64 (/.f64 n f) 3))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))))
(fma.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))))
(-.f64 (-.f64 (neg.f64 (+.f64 (*.f64 (/.f64 n f) (/.f64 n f)) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))) (/.f64 n f)) (/.f64 (pow.f64 n 4) (pow.f64 f 4)))
(-.f64 (-.f64 (*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f))) (pow.f64 (/.f64 n f) 3)) (/.f64 (pow.f64 n 4) (pow.f64 f 4)))
(*.f64 -1 (/.f64 n f))
(neg.f64 (/.f64 n f))
(/.f64 (neg.f64 n) f)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (neg.f64 (/.f64 n f)))
(neg.f64 (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))))
(*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f))))
(-.f64 (neg.f64 (+.f64 (*.f64 (/.f64 n f) (/.f64 n f)) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))) (/.f64 n f))
(-.f64 (*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f))) (pow.f64 (/.f64 n f) 3))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))))
(fma.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))))
(-.f64 (-.f64 (neg.f64 (+.f64 (*.f64 (/.f64 n f) (/.f64 n f)) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))) (/.f64 n f)) (/.f64 (pow.f64 n 4) (pow.f64 f 4)))
(-.f64 (-.f64 (*.f64 (/.f64 n f) (-.f64 -1 (/.f64 n f))) (pow.f64 (/.f64 n f) 3)) (/.f64 (pow.f64 n 4) (pow.f64 f 4)))
(-.f64 0 (/.f64 n (+.f64 n f)))
(/.f64 (neg.f64 n) (+.f64 n f))
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (+.f64 n f)))) 1)
(/.f64 n (+.f64 n f))
(-.f64 (/.f64 0 (+.f64 n f)) (/.f64 n (+.f64 n f)))
(/.f64 (neg.f64 n) (+.f64 n f))
(*.f64 n (/.f64 1 (+.f64 n f)))
(/.f64 n (+.f64 n f))
(*.f64 n (/.f64 1 (+.f64 (neg.f64 f) n)))
(/.f64 (*.f64 n 1) (+.f64 n (neg.f64 f)))
(/.f64 n (-.f64 n f))
(*.f64 (/.f64 n (+.f64 n f)) 1)
(/.f64 n (+.f64 n f))
(*.f64 1 (/.f64 n (+.f64 n f)))
(/.f64 n (+.f64 n f))
(*.f64 (sqrt.f64 (/.f64 n (+.f64 n f))) (sqrt.f64 (/.f64 n (+.f64 n f))))
(/.f64 n (+.f64 n f))
(*.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (/.f64 1 (+.f64 n f))))
(/.f64 n (+.f64 n f))
(*.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) 2))
(/.f64 n (+.f64 n f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) 2) (cbrt.f64 (/.f64 n (+.f64 n f))))
(/.f64 n (+.f64 n f))
(*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 1 (+.f64 n f))))
(/.f64 n (+.f64 n f))
(*.f64 -1 (/.f64 n (+.f64 n f)))
(/.f64 (neg.f64 n) (+.f64 n f))
(*.f64 (/.f64 1 (+.f64 n f)) n)
(/.f64 n (+.f64 n f))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 n f))) (/.f64 n (sqrt.f64 (+.f64 n f))))
(/.f64 n (+.f64 n f))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 n (cbrt.f64 (+.f64 n f))))
(/.f64 (/.f64 n (cbrt.f64 (+.f64 n f))) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))
(/.f64 n (*.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (cbrt.f64 (+.f64 n f))))
(*.f64 (/.f64 n (pow.f64 (+.f64 n f) 2)) (+.f64 n f))
(/.f64 n (+.f64 n f))
(*.f64 (/.f64 n (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 f f (*.f64 n (+.f64 n f))))
(*.f64 (/.f64 n (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 f f (*.f64 n (+.f64 n f))))
(*.f64 (/.f64 n (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n (+.f64 n f) (*.f64 f f)))
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 n f))) (/.f64 n (sqrt.f64 (+.f64 n f))))
(/.f64 (neg.f64 n) (+.f64 n f))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 n (cbrt.f64 (+.f64 n f))))
(*.f64 (/.f64 n (cbrt.f64 (+.f64 n f))) (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))
(/.f64 (/.f64 (neg.f64 n) (cbrt.f64 (+.f64 n f))) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))
(/.f64 (/.f64 (neg.f64 n) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (+.f64 n f)))
(/.f64 (neg.f64 n) (*.f64 (cbrt.f64 (+.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))
(*.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (+.f64 n f)))
(/.f64 n (+.f64 n f))
(*.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 (sqrt.f64 n) (cbrt.f64 (+.f64 n f))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 n (cbrt.f64 (+.f64 n f))))
(/.f64 (/.f64 n (cbrt.f64 (+.f64 n f))) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))
(/.f64 n (*.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (cbrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) (+.f64 n f)))
(/.f64 n (+.f64 n f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (+.f64 n f))) (/.f64 (cbrt.f64 n) (sqrt.f64 (+.f64 n f))))
(/.f64 n (+.f64 n f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (/.f64 n (+.f64 n f))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 (/.f64 n (+.f64 n f)))) (pow.f64 (cbrt.f64 (+.f64 n f)) 2))
(*.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))
(pow.f64 (/.f64 n (+.f64 n f)) 1)
(/.f64 n (+.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 n (+.f64 n f))) 2)
(/.f64 n (+.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 n (+.f64 n f))) 3)
(/.f64 n (+.f64 n f))
(pow.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3) 1/3)
(/.f64 n (+.f64 n f))
(pow.f64 (/.f64 (+.f64 n f) n) -1)
(/.f64 n (+.f64 n f))
(neg.f64 (/.f64 n (+.f64 n f)))
(/.f64 (neg.f64 n) (+.f64 n f))
(sqrt.f64 (pow.f64 (/.f64 n (+.f64 n f)) 2))
(/.f64 n (+.f64 n f))
(log.f64 (exp.f64 (/.f64 n (+.f64 n f))))
(/.f64 n (+.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 n (+.f64 n f)))))
(/.f64 n (+.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3))
(/.f64 n (+.f64 n f))
(expm1.f64 (log1p.f64 (/.f64 n (+.f64 n f))))
(/.f64 n (+.f64 n f))
(exp.f64 (log.f64 (/.f64 n (+.f64 n f))))
(/.f64 n (+.f64 n f))
(exp.f64 (*.f64 (log.f64 (/.f64 n (+.f64 n f))) 1))
(/.f64 n (+.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 n (+.f64 n f))))
(/.f64 n (+.f64 n f))

eval186.0ms (1.9%)

Compiler

Compiled 9211 to 4246 computations (53.9% saved)

prune160.0ms (1.6%)

Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New4725477
Fresh022
Picked101
Done268
Total47513488
Error
0b
Counts
488 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓30.3b
(/.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 n f)) (-.f64 f n))
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
32.8b
(/.f64 n (-.f64 n f))
30.6b
(/.f64 f (-.f64 n f))
✓0.0b
(-.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 1)
31.0b
(-.f64 -1 (/.f64 n f))
✓32.4b
(+.f64 (*.f64 2 (/.f64 f n)) 1)
33.1b
(+.f64 1 (/.f64 f n))
31.2b
(+.f64 -1 (*.f64 -2 (/.f64 (+.f64 n f) (*.f64 f (/.f64 f n)))))
✓31.5b
(*.f64 (pow.f64 (pow.f64 (-.f64 n f) -1/2) 2) (+.f64 f n))
✓0.2b
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
33.5b
1
31.3b
-1
Compiler

Compiled 121 to 80 computations (33.9% saved)

regimes50.0ms (0.5%)

Counts
22 → 1
Calls
Call 1
Inputs
-1
1
(+.f64 1 (/.f64 f n))
(-.f64 -1 (/.f64 n f))
(/.f64 f (-.f64 n f))
(/.f64 n (-.f64 n f))
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 (neg.f64 n) (-.f64 f n))
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(-.f64 (+.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1) 1)
(+.f64 -1 (*.f64 -2 (/.f64 (+.f64 n f) (*.f64 f (/.f64 f n)))))
(+.f64 -1 (*.f64 -2 (+.f64 (/.f64 n f) (/.f64 n (/.f64 f (/.f64 n f))))))
(/.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 n f)) (-.f64 f n))
(-.f64 (/.f64 (-.f64 (*.f64 n (*.f64 (/.f64 n f) -2)) 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)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (pow.f64 (pow.f64 (-.f64 n f) -1/2) 2) (+.f64 f n))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
Calls

3 calls:

12.0ms
n
10.0ms
f
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))
Compiler

Compiled 219 to 93 computations (57.5% saved)

regimes86.0ms (0.9%)

Counts
9 → 3
Calls
Call 1
Inputs
-1
1
(+.f64 1 (/.f64 f n))
(-.f64 -1 (/.f64 n f))
(/.f64 f (-.f64 n f))
(/.f64 n (-.f64 n f))
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 (neg.f64 n) (-.f64 f n))
(+.f64 (*.f64 2 (/.f64 f n)) 1)
Outputs
(-.f64 -1 (/.f64 n f))
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(/.f64 f (-.f64 n f))
Calls

2 calls:

58.0ms
f
26.0ms
n
Results
ErrorSegmentsBranch
12.3b3f
14.9b5n
Compiler

Compiled 49 to 26 computations (46.9% saved)

bsearch56.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
43.0ms
2.0568380493365183e+22
2.478414912206606e+25
13.0ms
-6.532347707232214e-34
-3.009012292382241e-37
Results
52.0ms256×body256valid
Compiler

Compiled 303 to 226 computations (25.4% saved)

regimes43.0ms (0.4%)

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

2 calls:

25.0ms
n
17.0ms
f
Results
ErrorSegmentsBranch
12.7b3f
15.2b5n
Compiler

Compiled 42 to 22 computations (47.6% saved)

bsearch67.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
13.0ms
2.0568380493365183e+22
2.478414912206606e+25
54.0ms
-6.532347707232214e-34
-3.009012292382241e-37
Results
64.0ms256×body256valid
Compiler

Compiled 271 to 194 computations (28.4% saved)

regimes35.0ms (0.4%)

Counts
4 → 3
Calls
Call 1
Inputs
-1
1
(+.f64 1 (/.f64 f n))
(-.f64 -1 (/.f64 n f))
Outputs
(-.f64 -1 (/.f64 n f))
(+.f64 1 (/.f64 f n))
(-.f64 -1 (/.f64 n f))
Calls

2 calls:

24.0ms
n
10.0ms
f
Results
ErrorSegmentsBranch
12.7b3f
15.3b5n
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch45.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
28.0ms
2.0568380493365183e+22
2.478414912206606e+25
16.0ms
-6.532347707232214e-34
-3.009012292382241e-37
Results
41.0ms256×body256valid
Compiler

Compiled 271 to 202 computations (25.5% saved)

regimes46.0ms (0.5%)

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

2 calls:

30.0ms
f
15.0ms
n
Results
ErrorSegmentsBranch
12.9b3f
15.5b5n
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch55.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
42.0ms
2.0568380493365183e+22
2.478414912206606e+25
13.0ms
-6.532347707232214e-34
-3.009012292382241e-37
Results
52.0ms256×body256valid
Compiler

Compiled 207 to 170 computations (17.9% saved)

regimes35.0ms (0.3%)

Accuracy

Total -49.9b remaining (-382%)

Threshold costs -49.9b (-382%)

Counts
2 → 3
Calls
Call 1
Inputs
-1
1
Outputs
-1
1
-1
Calls

2 calls:

18.0ms
f
16.0ms
n
Results
ErrorSegmentsBranch
13.1b3f
15.7b5n
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch44.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
31.0ms
2.0568380493365183e+22
2.478414912206606e+25
13.0ms
-6.532347707232214e-34
-3.009012292382241e-37
Results
41.0ms256×body256valid
Compiler

Compiled 143 to 138 computations (3.5% saved)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
16×+-commutative
10×sub-neg
8×*-commutative
6×neg-mul-1
6×if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050245
172245
280245
386245
490245
591245
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f -6944120419548559/11972621413014756705924586149611790497021399392059392) (-.f64 -1 (/.f64 n f)) (if (<=.f64 f 30000000000000000000000) (+.f64 (*.f64 2 (/.f64 f n)) 1) (/.f64 f (-.f64 n f))))
(if (<=.f64 f -1461501637330903/5846006549323611672814739330865132078623730171904) (-.f64 -1 (/.f64 n f)) (if (<=.f64 f 6200000000000000218103808) (+.f64 1 (/.f64 f n)) (/.f64 f (-.f64 n f))))
(if (<=.f64 f -3390683798607695/5846006549323611672814739330865132078623730171904) (-.f64 -1 (/.f64 n f)) (if (<=.f64 f 89999999999999995805696) (+.f64 1 (/.f64 f n)) (-.f64 -1 (/.f64 n f))))
(if (<=.f64 f -5261405894391251/11692013098647223345629478661730264157247460343808) -1 (if (<=.f64 f 3199999999999999731564544) (+.f64 1 (/.f64 f n)) -1))
(if (<=.f64 f -5799238496929023/374144419156711147060143317175368453031918731001856) -1 (if (<=.f64 f 4299999999999999874170880) 1 -1))
-1
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f -6944120419548559/11972621413014756705924586149611790497021399392059392) (-.f64 -1 (/.f64 n f)) (if (<=.f64 f 30000000000000000000000) (+.f64 (*.f64 2 (/.f64 f n)) 1) (/.f64 f (-.f64 n f))))
(if (<=.f64 f -1461501637330903/5846006549323611672814739330865132078623730171904) (-.f64 -1 (/.f64 n f)) (if (<=.f64 f 6200000000000000218103808) (+.f64 1 (/.f64 f n)) (/.f64 f (-.f64 n f))))
(if (<=.f64 f -1461501637330903/5846006549323611672814739330865132078623730171904) (-.f64 -1 (/.f64 n f)) (if (<=.f64 f 6200000000000000218103808) (+.f64 (/.f64 f n) 1) (/.f64 f (-.f64 n f))))
(if (<=.f64 f -3390683798607695/5846006549323611672814739330865132078623730171904) (-.f64 -1 (/.f64 n f)) (if (<=.f64 f 89999999999999995805696) (+.f64 1 (/.f64 f n)) (-.f64 -1 (/.f64 n f))))
(if (or (<=.f64 f -3390683798607695/5846006549323611672814739330865132078623730171904) (not (<=.f64 f 89999999999999995805696))) (-.f64 -1 (/.f64 n f)) (+.f64 (/.f64 f n) 1))
(if (<=.f64 f -5261405894391251/11692013098647223345629478661730264157247460343808) -1 (if (<=.f64 f 3199999999999999731564544) (+.f64 1 (/.f64 f n)) -1))
(if (<=.f64 f -5261405894391251/11692013098647223345629478661730264157247460343808) -1 (if (<=.f64 f 3199999999999999731564544) (+.f64 (/.f64 f n) 1) -1))
(if (<=.f64 f -5799238496929023/374144419156711147060143317175368453031918731001856) -1 (if (<=.f64 f 4299999999999999874170880) 1 -1))
-1
Compiler

Compiled 115 to 81 computations (29.6% saved)

soundness372.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
840×fma-def
618×associate-/r*
554×associate-*r*
480×associate-*l*
468×associate-/l*
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0923
12023
24423
38523
417023
535523
682519
7242519
8362419
9455619
10491319
11496119
12497319
13497319
Stop Event
1×saturated
Compiler

Compiled 126 to 46 computations (63.5% saved)

end82.0ms (0.8%)

Compiler

Compiled 103 to 61 computations (40.8% saved)

Profiling

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