Details

Time bar (total: 8.1s)

analyze75.0ms (0.9%)

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)

sample835.0ms (10.3%)

Results
821.0ms8256×body256valid
Bogosity

preprocess165.0ms (2%)

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 (1.8%)

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
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
99.9%
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶99.9%
(/.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
✓99.9%
(/.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
@0
(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms
f
@inf
(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms
n
@-inf
(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms
n
@inf
(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms
f
@-inf
(/.f64 (+.f64 f n) (-.f64 n f))

rewrite63.0ms (0.8%)

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))))))))

simplify123.0ms (1.5%)

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))

eval31.0ms (0.4%)

Compiler

Compiled 2596 to 954 computations (63.3% saved)

prune52.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1287135
Fresh000
Picked011
Done000
Total1288136
Error
100.0%
Counts
136 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶99.9%
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
✓99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
▶48.7%
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶99.7%
(+.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (*.f64 (/.f64 1 (-.f64 n f)) f))
▶52.7%
(+.f64 (*.f64 2 (/.f64 f n)) 1)
▶99.7%
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
51.5%
1
47.7%
-1
Compiler

Compiled 129 to 87 computations (32.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓100.0%
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
✓99.9%
(/.f64 (-.f64 n f) (+.f64 f n))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series5.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite117.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1570×associate-/l*
1074×associate-/r/
1038×*-commutative
802×distribute-lft-in
788×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0944
121138
2310038
Stop Event
1×node limit
Counts
2 → 265
Calls
Call 1
Inputs
(/.f64 (-.f64 n f) (+.f64 f n))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 n f)) (log.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))))

simplify198.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1058×*-commutative
1020×associate-/l*
990×associate-/r*
970×associate-*r*
766×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082715885
1269615535
Stop Event
1×node limit
Counts
313 → 521
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)
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1
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(/.f64 (sqrt.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f)))) (sqrt.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) (sqrt.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) (sqrt.f64 (cbrt.f64 (+.f64 n f)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 n f))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2))))
(/.f64 (sqrt.f64 (sqrt.f64 (+.f64 n f))) (/.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) (sqrt.f64 (sqrt.f64 (+.f64 n f)))))
(/.f64 (sqrt.f64 (-.f64 (neg.f64 f) n)) (/.f64 (-.f64 f n) (sqrt.f64 (-.f64 (neg.f64 f) n))))
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n)))) (/.f64 (*.f64 (-.f64 n f) (-.f64 f n)) (cbrt.f64 (-.f64 (*.f64 f f) (*.f64 n n)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (cbrt.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)))) (/.f64 (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f)))) (cbrt.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2))) (/.f64 (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 n f))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (neg.f64 f) n)) (cbrt.f64 (-.f64 (neg.f64 f) n))) (/.f64 (-.f64 f n) (cbrt.f64 (-.f64 (neg.f64 f) n))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2)) (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(/.f64 (/.f64 (+.f64 n f) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (+.f64 n f) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))
(/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (+.f64 n f)))
(/.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (/.f64 1 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 n f))) (/.f64 (-.f64 f n) (sqrt.f64 (+.f64 n f))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 (-.f64 f n) (cbrt.f64 (+.f64 n f))))
(/.f64 (neg.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (neg.f64 (-.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (-.f64 n f) (neg.f64 (-.f64 f n))))
(/.f64 (neg.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (-.f64 n f) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1/4) (/.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1/4)))
(/.f64 (-.f64 (*.f64 (pow.f64 f 3) (pow.f64 f 3)) (*.f64 (pow.f64 n 3) (pow.f64 n 3))) (*.f64 (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f)))) (-.f64 (pow.f64 f 3) (pow.f64 n 3))))
(/.f64 (-.f64 (*.f64 (*.f64 f f) (*.f64 f f)) (*.f64 (*.f64 n n) (*.f64 n n))) (*.f64 (*.f64 (-.f64 n f) (-.f64 f n)) (+.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 (/.f64 1 (-.f64 f n)) (/.f64 1 (-.f64 (neg.f64 f) n)))
(/.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 (*.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 n n) (*.f64 f f))))))
(/.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (sqrt.f64 (-.f64 n f)) (+.f64 n f)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)))
(/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) 1) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (cbrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 n f))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) 1) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 n f))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (sqrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 n f))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(/.f64 (pow.f64 (-.f64 n f) -1/2) (/.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) (pow.f64 (/.f64 1 (+.f64 n f)) -1/2)))
(/.f64 (pow.f64 1 -1/2) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -1/2) (/.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) (pow.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -1/2)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2) -1/2) (/.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -1/2)))
(/.f64 (pow.f64 (-.f64 n f) -1) (/.f64 1 (pow.f64 (/.f64 1 (+.f64 n f)) -1)))
(/.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -1) (/.f64 1 (pow.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -1)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2) -1) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -1)))
(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 n f) 3) (pow.f64 (-.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 n f)) (log.f64 (-.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.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 n n) (*.f64 f f))) (fma.f64 2 (/.f64 n f) -1))
(+.f64 -1 (fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 2 (/.f64 f n))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 2 (/.f64 n f)))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))) -1)
(+.f64 -1 (fma.f64 -2 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 f n))) (/.f64 f n))
(+.f64 1 (/.f64 (-.f64 (neg.f64 f) f) n))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (*.f64 -1 (/.f64 f n)))) (/.f64 f n))
(-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 f (/.f64 (*.f64 n n) (-.f64 (neg.f64 f) f))) (/.f64 f n)))) (/.f64 f n))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 f (/.f64 (*.f64 n n) f))) (/.f64 (-.f64 (neg.f64 f) f) n)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (+.f64 (/.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 -1 f) f)) (pow.f64 n 3)) (*.f64 -1 (/.f64 f n))))) (/.f64 f n))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 f (/.f64 (*.f64 n n) (-.f64 (neg.f64 f) f))) (+.f64 (/.f64 (neg.f64 f) n) (/.f64 (*.f64 (-.f64 (neg.f64 f) f) (*.f64 f f)) (pow.f64 n 3)))) (/.f64 f n)))
(+.f64 1 (+.f64 (+.f64 (/.f64 f (/.f64 (/.f64 (pow.f64 n 3) (-.f64 (neg.f64 f) f)) f)) (*.f64 2 (/.f64 f (/.f64 (*.f64 n n) f)))) (/.f64 (-.f64 (neg.f64 f) f) n)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 f n))) (/.f64 f n))
(+.f64 1 (/.f64 (-.f64 (neg.f64 f) f) n))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (*.f64 -1 (/.f64 f n)))) (/.f64 f n))
(-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 f (/.f64 (*.f64 n n) (-.f64 (neg.f64 f) f))) (/.f64 f n)))) (/.f64 f n))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 f (/.f64 (*.f64 n n) f))) (/.f64 (-.f64 (neg.f64 f) f) n)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (+.f64 (/.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 -1 f) f)) (pow.f64 n 3)) (*.f64 -1 (/.f64 f n))))) (/.f64 f n))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 f (/.f64 (*.f64 n n) (-.f64 (neg.f64 f) f))) (+.f64 (/.f64 (neg.f64 f) n) (/.f64 (*.f64 (-.f64 (neg.f64 f) f) (*.f64 f f)) (pow.f64 n 3)))) (/.f64 f n)))
(+.f64 1 (+.f64 (+.f64 (/.f64 f (/.f64 (/.f64 (pow.f64 n 3) (-.f64 (neg.f64 f) f)) f)) (*.f64 2 (/.f64 f (/.f64 (*.f64 n n) f)))) (/.f64 (-.f64 (neg.f64 f) f) n)))
1
(+.f64 1 (*.f64 -2 (/.f64 f n)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 -2 (/.f64 f n))))
(+.f64 1 (fma.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)) (*.f64 -2 (/.f64 f n))))
(+.f64 1 (fma.f64 2 (/.f64 f (/.f64 (*.f64 n n) f)) (*.f64 -2 (/.f64 f n))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 -2 (/.f64 f n)))))
(+.f64 1 (fma.f64 -2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)) (*.f64 -2 (/.f64 f n)))))
(+.f64 1 (fma.f64 -2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f (/.f64 (*.f64 n n) f)) (*.f64 -2 (/.f64 f n)))))
-1
(-.f64 (/.f64 n f) (+.f64 1 (*.f64 -1 (/.f64 n f))))
(-.f64 (/.f64 n f) (+.f64 1 (/.f64 (neg.f64 n) f)))
(-.f64 (/.f64 (-.f64 n (neg.f64 n)) f) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (/.f64 n f)) (+.f64 1 (*.f64 -1 (/.f64 n f))))
(-.f64 (fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) (-.f64 n (neg.f64 n)))) (/.f64 n f)) (+.f64 1 (/.f64 (neg.f64 n) f)))
(+.f64 (-.f64 (/.f64 (-.f64 n (neg.f64 n)) f) 1) (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (/.f64 n f) (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3)))) (+.f64 1 (*.f64 -1 (/.f64 n f))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) (-.f64 n (neg.f64 n)))) (/.f64 n f)) (/.f64 (*.f64 (-.f64 n (neg.f64 n)) (*.f64 n n)) (pow.f64 f 3))) (+.f64 1 (/.f64 (neg.f64 n) f)))
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (+.f64 (*.f64 (/.f64 (*.f64 n n) (pow.f64 f 3)) (-.f64 n (neg.f64 n))) (-.f64 (/.f64 (-.f64 n (neg.f64 n)) f) 1)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 n) n) f)) 1)
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 n) n) f) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2))) 1)
(+.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 n) n) f) (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n)))) -1)
(+.f64 -1 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 n) n) f) (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3))) (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)))) 1)
(+.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 n) n) f) (fma.f64 -1 (/.f64 (*.f64 (-.f64 (neg.f64 n) n) (*.f64 n n)) (pow.f64 f 3)) (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))))) -1)
(+.f64 (fma.f64 -1 (*.f64 (/.f64 (*.f64 n n) (pow.f64 f 3)) (-.f64 (neg.f64 n) n)) (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n)))) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 n) n) f) -1))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1)
(+.f64 (*.f64 -2 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f))) -1)
(+.f64 -1 (*.f64 -2 (+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f 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 -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)
(+.f64 -1 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 -2 (+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f))))))
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 1 (/.f64 f n)) (/.f64 (neg.f64 f) n))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (-.f64 (*.f64 -1 f) f)) (*.f64 -1 (*.f64 f (-.f64 (*.f64 -1 f) f)))) (pow.f64 n 2))))) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (+.f64 (/.f64 f n) (neg.f64 (/.f64 (fma.f64 (-.f64 f (neg.f64 f)) (-.f64 (neg.f64 f) f) (*.f64 (neg.f64 f) (-.f64 (neg.f64 f) f))) (*.f64 n n)))) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (neg.f64 (/.f64 (fma.f64 (-.f64 f (neg.f64 f)) (-.f64 (neg.f64 f) f) (*.f64 2 (*.f64 f f))) (*.f64 n n))) (-.f64 (/.f64 f n) (/.f64 (neg.f64 f) n))))
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(/.f64 (pow.f64 (-.f64 n f) -1) (/.f64 1 (pow.f64 (/.f64 1 (+.f64 n f)) -1)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -1) (/.f64 1 (pow.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -1)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2) -1) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -1)))
(/.f64 (+.f64 n f) (-.f64 n f))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2))
(log.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(/.f64 (+.f64 n f) (-.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3))
(/.f64 (+.f64 n f) (-.f64 n f))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 n f) 3) (pow.f64 (-.f64 n f) 3)))
(/.f64 (+.f64 n f) (-.f64 n f))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(exp.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(exp.f64 (-.f64 (log.f64 (+.f64 n f)) (log.f64 (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓100.0%
(*.f64 2 (/.f64 f n))
Compiler

Compiled 21 to 11 computations (47.6% saved)

series4.0ms (0.1%)

Counts
1 → 0
Calls

6 calls:

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

rewrite73.0ms (0.9%)

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))))))))

simplify76.0ms (0.9%)

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
✓100.0%
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓100.0%
(*.f64 -2 (/.f64 n f))
Compiler

Compiled 21 to 11 computations (47.6% saved)

series9.0ms (0.1%)

Counts
2 → 6
Calls

12 calls:

TimeVariablePointExpression
3.0ms
n
@0
(*.f64 -2 (/.f64 n f))
1.0ms
n
@inf
(*.f64 -2 (/.f64 n f))
1.0ms
f
@0
(*.f64 -2 (/.f64 n f))
1.0ms
f
@inf
(*.f64 -2 (/.f64 n f))
1.0ms
n
@-inf
(*.f64 -2 (/.f64 n f))

rewrite119.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1992×add-sqr-sqrt
1970×*-un-lft-identity
1844×add-cube-cbrt
1826×add-cbrt-cube
188×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
119528
2248728
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(*.f64 -2 (/.f64 n f))
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -2 (/.f64 n f) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 f (*.f64 -2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 n) f)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (neg.f64 n)) (neg.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 n) 1) f)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) -2) (neg.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 n) 1) f)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 n) (sqrt.f64 f)) (sqrt.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 n) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -2 n)) (neg.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 n f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 n f) 3) -8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (/.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (/.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 n f) 3) -8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 n f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 n f))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (/.f64 n f)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 -2 (/.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -2 (/.f64 n f) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -2 (/.f64 n f) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -2 (/.f64 n f) -1)) (sqrt.f64 (fma.f64 -2 (/.f64 n f) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2 (/.f64 n f) -1)) (pow.f64 (cbrt.f64 (fma.f64 -2 (/.f64 n f) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (/.f64 n f) -1)) 2) (cbrt.f64 (fma.f64 -2 (/.f64 n f) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) -1) (/.f64 1 (fma.f64 -2 (/.f64 n f) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 3) -8) -1) (/.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) (fma.f64 -2 (/.f64 n f) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) 1) (-.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -2 (/.f64 n f) 1) (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) (fma.f64 -2 (/.f64 n f) 1)) (+.f64 (*.f64 (pow.f64 (/.f64 n f) 3) -8) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) -1) (fma.f64 -2 (/.f64 n f) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) -1) (-.f64 (*.f64 -2 (/.f64 n f)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 3) -8) -1) (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) (fma.f64 -2 (/.f64 n f) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 3) -8) -1) (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) (-.f64 1 (*.f64 (*.f64 -2 (/.f64 n f)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) -1)) (neg.f64 (fma.f64 -2 (/.f64 n f) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 3) -8) -1)) (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) (fma.f64 -2 (/.f64 n f) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -2 (/.f64 n f) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -2 (/.f64 n f) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -2 (/.f64 n f) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2 (/.f64 n f) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -2 (/.f64 n f) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -2 (/.f64 n f) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -2 (/.f64 n f) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -2 (/.f64 n f) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (*.f64 -2 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -2 (/.f64 n f) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -2 (/.f64 n f) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -2 (/.f64 n f) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 n f) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 n f) -2 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2 (/.f64 n f)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) (sqrt.f64 (*.f64 -2 (/.f64 n f))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 n f))) 2) (cbrt.f64 (*.f64 -2 (/.f64 n f))) -1)))))

simplify131.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1476×associate-*r*
1242×associate-+r+
1184×associate-*l*
1058×associate-+l+
476×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01311322
12931262
211801262
365291262
Stop Event
1×node limit
Counts
64 → 65
Calls
Call 1
Inputs
-1
(*.f64 -2 (/.f64 n f))
(*.f64 -2 (/.f64 n f))
(*.f64 -2 (/.f64 n f))
-1
-1
(-.f64 (fma.f64 -2 (/.f64 n f) 1) 1)
(/.f64 -2 (/.f64 f n))
(/.f64 1 (/.f64 f (*.f64 -2 n)))
(/.f64 (*.f64 -2 n) f)
(/.f64 (*.f64 -2 (neg.f64 n)) (neg.f64 f))
(/.f64 (*.f64 (*.f64 -2 n) 1) f)
(/.f64 (*.f64 (neg.f64 n) -2) (neg.f64 f))
(/.f64 (/.f64 (*.f64 -2 n) 1) f)
(/.f64 (/.f64 (*.f64 -2 n) (sqrt.f64 f)) (sqrt.f64 f))
(/.f64 (/.f64 (*.f64 -2 n) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))
(/.f64 (neg.f64 (*.f64 -2 n)) (neg.f64 f))
(pow.f64 (*.f64 -2 (/.f64 n f)) 1)
(pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) 2)
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 n f))) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 n f) 3) -8) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4))
(log.f64 (pow.f64 (exp.f64 -2) (/.f64 n f)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (/.f64 n f)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 n f) 3) -8))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 n f))))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 n f))))
(exp.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 n f))) 1))
(log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 n f))))
(+.f64 (*.f64 -2 (/.f64 n f)) -1)
(+.f64 -1 (*.f64 -2 (/.f64 n f)))
(*.f64 1 (fma.f64 -2 (/.f64 n f) -1))
(*.f64 (fma.f64 -2 (/.f64 n f) -1) 1)
(*.f64 (sqrt.f64 (fma.f64 -2 (/.f64 n f) -1)) (sqrt.f64 (fma.f64 -2 (/.f64 n f) -1)))
(*.f64 (cbrt.f64 (fma.f64 -2 (/.f64 n f) -1)) (pow.f64 (cbrt.f64 (fma.f64 -2 (/.f64 n f) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (/.f64 n f) -1)) 2) (cbrt.f64 (fma.f64 -2 (/.f64 n f) -1)))
(*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) -1) (/.f64 1 (fma.f64 -2 (/.f64 n f) 1)))
(*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 3) -8) -1) (/.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) (fma.f64 -2 (/.f64 n f) 1))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) 1) (-.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) 1))
(/.f64 1 (/.f64 (fma.f64 -2 (/.f64 n f) 1) (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) -1)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) (fma.f64 -2 (/.f64 n f) 1)) (+.f64 (*.f64 (pow.f64 (/.f64 n f) 3) -8) -1)))
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) -1) (fma.f64 -2 (/.f64 n f) 1))
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) -1) (-.f64 (*.f64 -2 (/.f64 n f)) -1))
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 3) -8) -1) (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) (fma.f64 -2 (/.f64 n f) 1)))
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 3) -8) -1) (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) (-.f64 1 (*.f64 (*.f64 -2 (/.f64 n f)) -1))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) -1)) (neg.f64 (fma.f64 -2 (/.f64 n f) 1)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 3) -8) -1)) (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) (fma.f64 -2 (/.f64 n f) 1))))
(pow.f64 (fma.f64 -2 (/.f64 n f) -1) 1)
(pow.f64 (sqrt.f64 (fma.f64 -2 (/.f64 n f) -1)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -2 (/.f64 n f) -1)) 3)
(pow.f64 (pow.f64 (fma.f64 -2 (/.f64 n f) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -2 (/.f64 n f) -1) 2))
(log.f64 (exp.f64 (fma.f64 -2 (/.f64 n f) -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -2 (/.f64 n f) -1))))
(cbrt.f64 (pow.f64 (fma.f64 -2 (/.f64 n f) -1) 3))
(expm1.f64 (log.f64 (*.f64 -2 (/.f64 n f))))
(exp.f64 (log.f64 (fma.f64 -2 (/.f64 n f) -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -2 (/.f64 n f) -1)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -2 (/.f64 n f) -1)))
(fma.f64 -2 (/.f64 n f) -1)
(fma.f64 (/.f64 n f) -2 -1)
(fma.f64 1 (*.f64 -2 (/.f64 n f)) -1)
(fma.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) (sqrt.f64 (*.f64 -2 (/.f64 n f))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 n f))) 2) (cbrt.f64 (*.f64 -2 (/.f64 n f))) -1)
Outputs
-1
(*.f64 -2 (/.f64 n f))
(*.f64 -2 (/.f64 n f))
(*.f64 -2 (/.f64 n f))
-1
-1
(-.f64 (fma.f64 -2 (/.f64 n f) 1) 1)
(*.f64 -2 (/.f64 n f))
(/.f64 -2 (/.f64 f n))
(*.f64 -2 (/.f64 n f))
(/.f64 1 (/.f64 f (*.f64 -2 n)))
(*.f64 -2 (/.f64 n f))
(/.f64 (*.f64 -2 n) f)
(*.f64 -2 (/.f64 n f))
(/.f64 (*.f64 -2 (neg.f64 n)) (neg.f64 f))
(*.f64 -2 (/.f64 n f))
(/.f64 (*.f64 (*.f64 -2 n) 1) f)
(*.f64 -2 (/.f64 n f))
(/.f64 (*.f64 (neg.f64 n) -2) (neg.f64 f))
(*.f64 -2 (/.f64 n f))
(/.f64 (/.f64 (*.f64 -2 n) 1) f)
(*.f64 -2 (/.f64 n f))
(/.f64 (/.f64 (*.f64 -2 n) (sqrt.f64 f)) (sqrt.f64 f))
(*.f64 -2 (/.f64 n f))
(/.f64 (/.f64 (*.f64 -2 n) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))
(*.f64 -2 (/.f64 n f))
(/.f64 (neg.f64 (*.f64 -2 n)) (neg.f64 f))
(*.f64 -2 (/.f64 n f))
(pow.f64 (*.f64 -2 (/.f64 n f)) 1)
(*.f64 -2 (/.f64 n f))
(pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) 2)
(*.f64 -2 (/.f64 n f))
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 n f))) 3)
(*.f64 -2 (/.f64 n f))
(pow.f64 (*.f64 (pow.f64 (/.f64 n f) 3) -8) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 n f) 3) -8))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4))
(log.f64 (pow.f64 (exp.f64 -2) (/.f64 n f)))
(*.f64 -2 (/.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (/.f64 n f)))))
(*.f64 -2 (/.f64 n f))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 n f) 3) -8))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 n f))))
(*.f64 -2 (/.f64 n f))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 n f))))
(*.f64 -2 (/.f64 n f))
(exp.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 n f))) 1))
(*.f64 -2 (/.f64 n f))
(log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 n f))))
(*.f64 -2 (/.f64 n f))
(+.f64 (*.f64 -2 (/.f64 n f)) -1)
(fma.f64 -2 (/.f64 n f) -1)
(+.f64 -1 (*.f64 -2 (/.f64 n f)))
(fma.f64 -2 (/.f64 n f) -1)
(*.f64 1 (fma.f64 -2 (/.f64 n f) -1))
(fma.f64 -2 (/.f64 n f) -1)
(*.f64 (fma.f64 -2 (/.f64 n f) -1) 1)
(fma.f64 -2 (/.f64 n f) -1)
(*.f64 (sqrt.f64 (fma.f64 -2 (/.f64 n f) -1)) (sqrt.f64 (fma.f64 -2 (/.f64 n f) -1)))
(fma.f64 -2 (/.f64 n f) -1)
(*.f64 (cbrt.f64 (fma.f64 -2 (/.f64 n f) -1)) (pow.f64 (cbrt.f64 (fma.f64 -2 (/.f64 n f) -1)) 2))
(fma.f64 -2 (/.f64 n f) -1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (/.f64 n f) -1)) 2) (cbrt.f64 (fma.f64 -2 (/.f64 n f) -1)))
(fma.f64 -2 (/.f64 n f) -1)
(*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) -1) (/.f64 1 (fma.f64 -2 (/.f64 n f) 1)))
(*.f64 (fma.f64 (pow.f64 (/.f64 n f) 2) 4 -1) (/.f64 1 (fma.f64 -2 (/.f64 n f) 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 n f) 2) 4 -1) (fma.f64 -2 (/.f64 n f) 1))
(*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 3) -8) -1) (/.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) (fma.f64 -2 (/.f64 n f) 1))))
(*.f64 (fma.f64 (pow.f64 (/.f64 n f) 3) -8 -1) (/.f64 1 (fma.f64 (pow.f64 (/.f64 n f) 2) 4 (fma.f64 -2 (/.f64 n f) 1))))
(/.f64 (fma.f64 (pow.f64 (/.f64 n f) 3) -8 -1) (fma.f64 (pow.f64 (/.f64 n f) 2) 4 (fma.f64 -2 (/.f64 n f) 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 n f) 3) -8 -1) (fma.f64 -2 (/.f64 n f) (fma.f64 (pow.f64 (/.f64 n f) 2) 4 1)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) 1) (-.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) 1))
(fma.f64 -2 (/.f64 n f) -1)
(/.f64 1 (/.f64 (fma.f64 -2 (/.f64 n f) 1) (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) -1)))
(*.f64 (fma.f64 (pow.f64 (/.f64 n f) 2) 4 -1) (/.f64 1 (fma.f64 -2 (/.f64 n f) 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 n f) 2) 4 -1) (fma.f64 -2 (/.f64 n f) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) (fma.f64 -2 (/.f64 n f) 1)) (+.f64 (*.f64 (pow.f64 (/.f64 n f) 3) -8) -1)))
(*.f64 (fma.f64 (pow.f64 (/.f64 n f) 3) -8 -1) (/.f64 1 (fma.f64 (pow.f64 (/.f64 n f) 2) 4 (fma.f64 -2 (/.f64 n f) 1))))
(/.f64 (fma.f64 (pow.f64 (/.f64 n f) 3) -8 -1) (fma.f64 (pow.f64 (/.f64 n f) 2) 4 (fma.f64 -2 (/.f64 n f) 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 n f) 3) -8 -1) (fma.f64 -2 (/.f64 n f) (fma.f64 (pow.f64 (/.f64 n f) 2) 4 1)))
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) -1) (fma.f64 -2 (/.f64 n f) 1))
(*.f64 (fma.f64 (pow.f64 (/.f64 n f) 2) 4 -1) (/.f64 1 (fma.f64 -2 (/.f64 n f) 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 n f) 2) 4 -1) (fma.f64 -2 (/.f64 n f) 1))
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) -1) (-.f64 (*.f64 -2 (/.f64 n f)) -1))
(*.f64 (fma.f64 (pow.f64 (/.f64 n f) 2) 4 -1) (/.f64 1 (fma.f64 -2 (/.f64 n f) 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 n f) 2) 4 -1) (fma.f64 -2 (/.f64 n f) 1))
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 3) -8) -1) (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) (fma.f64 -2 (/.f64 n f) 1)))
(*.f64 (fma.f64 (pow.f64 (/.f64 n f) 3) -8 -1) (/.f64 1 (fma.f64 (pow.f64 (/.f64 n f) 2) 4 (fma.f64 -2 (/.f64 n f) 1))))
(/.f64 (fma.f64 (pow.f64 (/.f64 n f) 3) -8 -1) (fma.f64 (pow.f64 (/.f64 n f) 2) 4 (fma.f64 -2 (/.f64 n f) 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 n f) 3) -8 -1) (fma.f64 -2 (/.f64 n f) (fma.f64 (pow.f64 (/.f64 n f) 2) 4 1)))
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 3) -8) -1) (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) (-.f64 1 (*.f64 (*.f64 -2 (/.f64 n f)) -1))))
(*.f64 (fma.f64 (pow.f64 (/.f64 n f) 3) -8 -1) (/.f64 1 (fma.f64 (pow.f64 (/.f64 n f) 2) 4 (fma.f64 -2 (/.f64 n f) 1))))
(/.f64 (fma.f64 (pow.f64 (/.f64 n f) 3) -8 -1) (fma.f64 (pow.f64 (/.f64 n f) 2) 4 (fma.f64 -2 (/.f64 n f) 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 n f) 3) -8 -1) (fma.f64 -2 (/.f64 n f) (fma.f64 (pow.f64 (/.f64 n f) 2) 4 1)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) -1)) (neg.f64 (fma.f64 -2 (/.f64 n f) 1)))
(*.f64 (fma.f64 (pow.f64 (/.f64 n f) 2) 4 -1) (/.f64 1 (fma.f64 -2 (/.f64 n f) 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 n f) 2) 4 -1) (fma.f64 -2 (/.f64 n f) 1))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 3) -8) -1)) (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4) (fma.f64 -2 (/.f64 n f) 1))))
(*.f64 (fma.f64 (pow.f64 (/.f64 n f) 3) -8 -1) (/.f64 1 (fma.f64 (pow.f64 (/.f64 n f) 2) 4 (fma.f64 -2 (/.f64 n f) 1))))
(/.f64 (fma.f64 (pow.f64 (/.f64 n f) 3) -8 -1) (fma.f64 (pow.f64 (/.f64 n f) 2) 4 (fma.f64 -2 (/.f64 n f) 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 n f) 3) -8 -1) (fma.f64 -2 (/.f64 n f) (fma.f64 (pow.f64 (/.f64 n f) 2) 4 1)))
(pow.f64 (fma.f64 -2 (/.f64 n f) -1) 1)
(fma.f64 -2 (/.f64 n f) -1)
(pow.f64 (sqrt.f64 (fma.f64 -2 (/.f64 n f) -1)) 2)
(fma.f64 -2 (/.f64 n f) -1)
(pow.f64 (cbrt.f64 (fma.f64 -2 (/.f64 n f) -1)) 3)
(fma.f64 -2 (/.f64 n f) -1)
(pow.f64 (pow.f64 (fma.f64 -2 (/.f64 n f) -1) 3) 1/3)
(fma.f64 -2 (/.f64 n f) -1)
(sqrt.f64 (pow.f64 (fma.f64 -2 (/.f64 n f) -1) 2))
(fma.f64 -2 (/.f64 n f) -1)
(log.f64 (exp.f64 (fma.f64 -2 (/.f64 n f) -1)))
(fma.f64 -2 (/.f64 n f) -1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -2 (/.f64 n f) -1))))
(fma.f64 -2 (/.f64 n f) -1)
(cbrt.f64 (pow.f64 (fma.f64 -2 (/.f64 n f) -1) 3))
(fma.f64 -2 (/.f64 n f) -1)
(expm1.f64 (log.f64 (*.f64 -2 (/.f64 n f))))
(exp.f64 (log.f64 (fma.f64 -2 (/.f64 n f) -1)))
(fma.f64 -2 (/.f64 n f) -1)
(exp.f64 (*.f64 (log.f64 (fma.f64 -2 (/.f64 n f) -1)) 1))
(fma.f64 -2 (/.f64 n f) -1)
(log1p.f64 (expm1.f64 (fma.f64 -2 (/.f64 n f) -1)))
(fma.f64 -2 (/.f64 n f) -1)
(fma.f64 -2 (/.f64 n f) -1)
(fma.f64 (/.f64 n f) -2 -1)
(fma.f64 -2 (/.f64 n f) -1)
(fma.f64 1 (*.f64 -2 (/.f64 n f)) -1)
(fma.f64 -2 (/.f64 n f) -1)
(fma.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) (sqrt.f64 (*.f64 -2 (/.f64 n f))) -1)
(fma.f64 -2 (/.f64 n f) -1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 n f))) 2) (cbrt.f64 (*.f64 -2 (/.f64 n f))) -1)
(fma.f64 -2 (/.f64 n f) -1)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓100.0%
(/.f64 1 (-.f64 n f))
✓99.7%
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
Compiler

Compiled 25 to 10 computations (60% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
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))

rewrite142.0ms (1.7%)

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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simplify137.0ms (1.7%)

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))

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
100.0%
(/.f64 1 (-.f64 n f))
✓99.9%
(+.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (*.f64 (/.f64 1 (-.f64 n f)) f))
✓99.7%
(*.f64 (/.f64 1 (-.f64 n f)) f)
✓99.7%
(*.f64 (/.f64 1 (-.f64 n f)) n)
Compiler

Compiled 42 to 19 computations (54.8% saved)

series6.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite185.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1290×associate-/r*
922×associate-/r/
904×associate-/l*
888×distribute-rgt-in
856×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01051
122445
2321745
Stop Event
1×node limit
Counts
3 → 296
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (-.f64 n f)) n)
(*.f64 (/.f64 1 (-.f64 n f)) f)
(+.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (*.f64 (/.f64 1 (-.f64 n f)) f))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 n (/.f64 1 (-.f64 n f)) (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 f (/.f64 1 (-.f64 n f)) (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 n f)) n (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 n f)) f (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 2) (cbrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 2) (cbrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))))))

simplify324.0ms (4%)

Algorithm
1×egg-herbie
Rules
1480×associate-/l/
922×associate-/l*
696×associate-/r*
692×associate-*r*
686×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081917002
1245315876
Stop Event
1×node limit
Counts
368 → 555
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)))))
-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 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 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 1 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))) (*.f64 -1 (/.f64 f n)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 f) f) n)))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 f) f) n)))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 f) f) n)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 f 3)) (pow.f64 f 3)) (pow.f64 n 3)))))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 n 3) (*.f64 -1 (pow.f64 n 3))) (pow.f64 f 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(+.f64 (*.f64 (/.f64 n (-.f64 (*.f64 n n) (*.f64 f f))) n) (*.f64 (/.f64 n (-.f64 (*.f64 n n) (*.f64 f f))) f))
(+.f64 (*.f64 (/.f64 n (-.f64 (*.f64 n n) (*.f64 f f))) f) (*.f64 (/.f64 n (-.f64 (*.f64 n n) (*.f64 f f))) n))
(+.f64 (*.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n n)) (*.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f (+.f64 n f))))
(+.f64 (*.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f (+.f64 n f))) (*.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n n)))
(+.f64 (*.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n f)))
(+.f64 (*.f64 n (/.f64 n (-.f64 (*.f64 n n) (*.f64 f f)))) (*.f64 f (/.f64 n (-.f64 (*.f64 n n) (*.f64 f f)))))
(+.f64 (*.f64 f (/.f64 n (-.f64 (*.f64 n n) (*.f64 f f)))) (*.f64 n (/.f64 n (-.f64 (*.f64 n n) (*.f64 f f)))))
(+.f64 (*.f64 (*.f64 n n) (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (*.f64 (*.f64 f (+.f64 n f)) (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(+.f64 (*.f64 (*.f64 f (+.f64 n f)) (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (*.f64 (*.f64 n n) (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(+.f64 (*.f64 (+.f64 (*.f64 f f) (*.f64 n n)) (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (*.f64 (*.f64 n f) (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) 1)
(/.f64 1 (/.f64 (-.f64 n f) n))
(/.f64 n (-.f64 n f))
(/.f64 (/.f64 n (-.f64 n f)) 1)
(/.f64 (sqrt.f64 n) (/.f64 (-.f64 n f) (sqrt.f64 n)))
(/.f64 (cbrt.f64 n) (/.f64 (-.f64 n f) (pow.f64 (cbrt.f64 n) 2)))
(/.f64 (cbrt.f64 n) (/.f64 (/.f64 (-.f64 n f) (sqrt.f64 n)) (cbrt.f64 (sqrt.f64 n))))
(/.f64 (cbrt.f64 n) (/.f64 (/.f64 (-.f64 n f) (cbrt.f64 n)) (cbrt.f64 n)))
(/.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 (-.f64 n f) (cbrt.f64 n)))
(/.f64 -1 (/.f64 (neg.f64 (-.f64 n f)) n))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 (-.f64 n f) (sqrt.f64 n)) (sqrt.f64 (cbrt.f64 n))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 (-.f64 n f) (cbrt.f64 n)) (sqrt.f64 (pow.f64 (cbrt.f64 n) 2))))
(/.f64 (sqrt.f64 (sqrt.f64 n)) (/.f64 (/.f64 (-.f64 n f) (sqrt.f64 n)) (sqrt.f64 (sqrt.f64 n))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 n) 2))) (/.f64 (/.f64 (-.f64 n f) (cbrt.f64 n)) (cbrt.f64 (pow.f64 (cbrt.f64 n) 2))))
(/.f64 (*.f64 n -1) (neg.f64 (-.f64 n f)))
(/.f64 (*.f64 -1 n) (neg.f64 (-.f64 n f)))
(/.f64 (/.f64 n 1) (-.f64 n f))
(/.f64 (/.f64 n (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))
(/.f64 (/.f64 n (-.f64 (*.f64 n n) (*.f64 f f))) (/.f64 1 (+.f64 n f)))
(/.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (/.f64 1 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(/.f64 (neg.f64 n) (neg.f64 (-.f64 n f)))
(/.f64 (/.f64 n (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(/.f64 (/.f64 n (+.f64 (sqrt.f64 f) (sqrt.f64 n))) (-.f64 (sqrt.f64 n) (sqrt.f64 f)))
(/.f64 (/.f64 (*.f64 n -1) 1) (neg.f64 (-.f64 n f)))
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(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 n f) n) (*.f64 f (-.f64 n f))) (*.f64 (-.f64 n f) (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 n f) n) (*.f64 f (-.f64 n f))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 n f) n) (*.f64 f (-.f64 n f))) (*.f64 (-.f64 n f) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (-.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))
(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 1 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 1 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 n (/.f64 1 (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 f (/.f64 1 (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 1 (-.f64 n f)) n (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 1 (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(fma.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 2) (cbrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 2) (cbrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
Outputs
(*.f64 -1 (/.f64 n f))
(/.f64 (neg.f64 n) f)
(/.f64 n (neg.f64 f))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))
(*.f64 -1 (+.f64 (/.f64 n f) (/.f64 n (/.f64 (*.f64 f f) n))))
(+.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)) (fma.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (neg.f64 n) f)))
(fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 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)) (fma.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (neg.f64 n) f))))
(fma.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))))
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 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 1 (/.f64 (*.f64 f f) (*.f64 n 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 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 1 (/.f64 (*.f64 f f) (*.f64 n 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 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n))))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))))
(+.f64 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 1 (/.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 -1 (/.f64 n f))
(/.f64 (neg.f64 n) f)
(/.f64 n (neg.f64 f))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))
(*.f64 -1 (+.f64 (/.f64 n f) (/.f64 n (/.f64 (*.f64 f f) n))))
(+.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)) (fma.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (neg.f64 n) f)))
(fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 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)) (fma.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (neg.f64 n) f))))
(fma.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))))
(*.f64 -1 (/.f64 n f))
(/.f64 (neg.f64 n) f)
(/.f64 n (neg.f64 f))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))
(*.f64 -1 (+.f64 (/.f64 n f) (/.f64 n (/.f64 (*.f64 f f) n))))
(+.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)) (fma.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (neg.f64 n) f)))
(fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 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)) (fma.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (neg.f64 n) f))))
(fma.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(fma.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 (neg.f64 (/.f64 (*.f64 n n) (*.f64 f f))) (fma.f64 -1 (/.f64 n f) -1))
(+.f64 (/.f64 (*.f64 (neg.f64 n) n) (*.f64 f f)) (fma.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 (fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (fma.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (neg.f64 n) f))) -1)
(+.f64 -1 (fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 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 (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 f) (*.f64 n 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 (/.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 f) (*.f64 n n)) (+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 (pow.f64 f 4) (pow.f64 n 4)))))
(/.f64 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 (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 f) (*.f64 n 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 (/.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 f) (*.f64 n n)) (+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 (pow.f64 f 4) (pow.f64 n 4)))))
(/.f64 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 (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 f) (*.f64 n 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 (/.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 f) (*.f64 n n)) (+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 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 (+.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))
(+.f64 (/.f64 (*.f64 (neg.f64 n) n) (*.f64 f f)) (fma.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 (fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (fma.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (neg.f64 n) f))) -1)
(+.f64 -1 (fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) 1)
(fma.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 (neg.f64 (/.f64 (*.f64 n n) (*.f64 f f))) (fma.f64 -1 (/.f64 n f) -1))
(+.f64 (/.f64 (*.f64 (neg.f64 n) n) (*.f64 f f)) (fma.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 (fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (fma.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (neg.f64 n) f))) -1)
(+.f64 -1 (fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (*.f64 -1 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))))
-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) (/.f64 n (/.f64 (*.f64 f f) n)))))
(-.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)
(+.f64 -1 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 -2 (+.f64 (/.f64 n f) (/.f64 n (/.f64 (*.f64 f f) n))))))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (/.f64 f n) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))) (/.f64 (neg.f64 f) n)))
(+.f64 (+.f64 1 (/.f64 f n)) (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 1 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))) (*.f64 -1 (/.f64 f n)))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 1 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))))) (/.f64 (neg.f64 f) n))
(+.f64 (/.f64 f n) (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 1 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 f) f) n)))
(+.f64 1 (neg.f64 (/.f64 (-.f64 (neg.f64 f) f) n)))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 f) f) n)))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 (+.f64 1 (neg.f64 (/.f64 (-.f64 (neg.f64 f) f) n))) (neg.f64 (/.f64 (*.f64 f f) (*.f64 n n)))))
(+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 f) f) n)) (-.f64 1 (neg.f64 (/.f64 (*.f64 f f) (*.f64 n n))))))
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(/.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (-.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (/.f64 (*.f64 n f) (pow.f64 (-.f64 n f) 2))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (-.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (/.f64 (*.f64 n f) (pow.f64 (-.f64 n f) 2)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (-.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (/.f64 n (/.f64 (pow.f64 (-.f64 n f) 2) f))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (-.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (/.f64 n (/.f64 (pow.f64 (-.f64 n f) 2) f))))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (-.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (/.f64 n (/.f64 (pow.f64 (-.f64 n f) 2) f))))))
(/.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (-.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (*.f64 (/.f64 n (pow.f64 (-.f64 n f) 2)) f)))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (-.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (*.f64 (/.f64 n (pow.f64 (-.f64 n f) 2)) f)))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (-.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (*.f64 (/.f64 n (pow.f64 (-.f64 n f) 2)) f)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (-.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (/.f64 (*.f64 n f) (pow.f64 (-.f64 n f) 2)))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (-.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (/.f64 (*.f64 n f) (pow.f64 (-.f64 n f) 2))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (-.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2) (/.f64 (*.f64 n f) (pow.f64 (-.f64 n f) 2)))))))
(/.f64 (/.f64 (*.f64 -1 (+.f64 n f)) 1) (neg.f64 (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (*.f64 -1 (+.f64 n f)) (sqrt.f64 (-.f64 n f))) (neg.f64 (sqrt.f64 (-.f64 n f))))
(/.f64 (neg.f64 (+.f64 n f)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 n (*.f64 1 f)) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (*.f64 -1 (+.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (neg.f64 (cbrt.f64 (-.f64 n f))))
(/.f64 (neg.f64 (+.f64 n f)) (*.f64 (neg.f64 (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (+.f64 n (*.f64 1 f)) (*.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (/.f64 (*.f64 -1 (+.f64 n f)) -1) (-.f64 n f))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (*.f64 -1 (+.f64 n f)) (sqrt.f64 (neg.f64 (-.f64 n f)))) (sqrt.f64 (neg.f64 (-.f64 n f))))
(/.f64 (neg.f64 (+.f64 n f)) (*.f64 (sqrt.f64 (neg.f64 (-.f64 n f))) (sqrt.f64 (neg.f64 (-.f64 n f)))))
(/.f64 (-.f64 (neg.f64 n) f) (*.f64 (sqrt.f64 (+.f64 (neg.f64 n) f)) (sqrt.f64 (+.f64 (neg.f64 n) f))))
(/.f64 (/.f64 (*.f64 -1 (+.f64 n f)) (*.f64 (cbrt.f64 (neg.f64 (-.f64 n f))) (cbrt.f64 (neg.f64 (-.f64 n f))))) (cbrt.f64 (neg.f64 (-.f64 n f))))
(/.f64 (neg.f64 (+.f64 n f)) (*.f64 (cbrt.f64 (neg.f64 (-.f64 n f))) (*.f64 (cbrt.f64 (neg.f64 (-.f64 n f))) (cbrt.f64 (neg.f64 (-.f64 n f))))))
(/.f64 (/.f64 (/.f64 (-.f64 (neg.f64 n) f) (cbrt.f64 (+.f64 (neg.f64 n) f))) (cbrt.f64 (+.f64 (neg.f64 n) f))) (cbrt.f64 (+.f64 (neg.f64 n) f)))
(/.f64 (/.f64 (*.f64 -1 (+.f64 n f)) (neg.f64 (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
(/.f64 (neg.f64 (+.f64 n f)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 n (*.f64 1 f)) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (*.f64 -1 (+.f64 n f)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (-.f64 n f)))
(/.f64 (neg.f64 (+.f64 n f)) (*.f64 (neg.f64 (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (+.f64 n (*.f64 1 f)) (*.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (/.f64 (+.f64 (*.f64 n (-.f64 n f)) (*.f64 (-.f64 n f) f)) 1) (pow.f64 (-.f64 n f) 2))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (+.f64 (*.f64 n (-.f64 n f)) (*.f64 (-.f64 n f) f)) (-.f64 n f)) (-.f64 n f))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (+.f64 (*.f64 n (-.f64 n f)) (*.f64 (-.f64 n f) f)) (sqrt.f64 (-.f64 n f))) (*.f64 (sqrt.f64 (-.f64 n f)) (-.f64 n f)))
(/.f64 (neg.f64 (+.f64 n f)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 n (*.f64 1 f)) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (+.f64 (*.f64 n (-.f64 n f)) (*.f64 (-.f64 n f) f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (*.f64 (cbrt.f64 (-.f64 n f)) (-.f64 n f)))
(/.f64 (neg.f64 (+.f64 n f)) (*.f64 (neg.f64 (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (+.f64 n (*.f64 1 f)) (*.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (/.f64 (+.f64 (*.f64 n (-.f64 n f)) (*.f64 (-.f64 n f) f)) (*.f64 (-.f64 n f) (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
(/.f64 (neg.f64 (+.f64 n f)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 n (*.f64 1 f)) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (+.f64 (*.f64 n (-.f64 n f)) (*.f64 (-.f64 n f) f)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(/.f64 (fma.f64 n (-.f64 n f) (*.f64 f (-.f64 n f))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 4)))
(/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 4)))
(/.f64 (/.f64 (+.f64 (*.f64 n (-.f64 n f)) (*.f64 (-.f64 n f) f)) (*.f64 (-.f64 n f) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (-.f64 n f)))
(/.f64 (neg.f64 (+.f64 n f)) (*.f64 (neg.f64 (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (+.f64 n (*.f64 1 f)) (*.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 n f) n) (*.f64 f (-.f64 n f))) 1) (pow.f64 (-.f64 n f) 2))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 n f) n) (*.f64 f (-.f64 n f))) (-.f64 n f)) (-.f64 n f))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 n f) n) (*.f64 f (-.f64 n f))) (sqrt.f64 (-.f64 n f))) (*.f64 (sqrt.f64 (-.f64 n f)) (-.f64 n f)))
(/.f64 (neg.f64 (+.f64 n f)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 n (*.f64 1 f)) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 n f) n) (*.f64 f (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (*.f64 (cbrt.f64 (-.f64 n f)) (-.f64 n f)))
(/.f64 (neg.f64 (+.f64 n f)) (*.f64 (neg.f64 (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (+.f64 n (*.f64 1 f)) (*.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 n f) n) (*.f64 f (-.f64 n f))) (*.f64 (-.f64 n f) (sqrt.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
(/.f64 (neg.f64 (+.f64 n f)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 n (*.f64 1 f)) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 n f) n) (*.f64 f (-.f64 n f))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(/.f64 (fma.f64 n (-.f64 n f) (*.f64 f (-.f64 n f))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 4)))
(/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 4)))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 n f) n) (*.f64 f (-.f64 n f))) (*.f64 (-.f64 n f) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (-.f64 n f)))
(/.f64 (neg.f64 (+.f64 n f)) (*.f64 (neg.f64 (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(/.f64 (+.f64 n (*.f64 1 f)) (*.f64 (cbrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 3)
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(pow.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3) 1/3)
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(exp.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(fma.f64 1 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(fma.f64 1 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(fma.f64 n (/.f64 1 (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(fma.f64 f (/.f64 1 (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(fma.f64 (/.f64 1 (-.f64 n f)) n (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(fma.f64 (/.f64 1 (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(fma.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(+.f64 (pow.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) 2) (/.f64 f (-.f64 n f)))
(fma.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(+.f64 (pow.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) 2) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (pow.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) 2))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 2) (cbrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 2) (cbrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))

eval1.3s (16%)

Compiler

Compiled 39181 to 14347 computations (63.4% saved)

prune808.0ms (10%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New166821670
Fresh022
Picked101
Done145
Total167081678
Error
100.0%
Counts
1678 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
▶99.9%
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
✓48.7%
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶99.9%
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
✓52.7%
(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓99.7%
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
51.5%
1
47.7%
-1
Compiler

Compiled 68 to 45 computations (33.8% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓100.0%
(/.f64 f (-.f64 n f))
✓100.0%
(/.f64 n (-.f64 n f))
✓99.9%
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
Compiler

Compiled 28 to 6 computations (78.6% saved)

series3.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite185.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1636×associate-/l*
1194×associate-/r/
960×distribute-lft-in
502×associate-/l/
260×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0857
119351
2320751
Stop Event
1×node limit
Counts
3 → 233
Calls
Call 1
Inputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 n (-.f64 n f))
(/.f64 f (-.f64 n f))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 f (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 f (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 f (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 f (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 f (-.f64 n f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 f (-.f64 n f))))))))

simplify247.0ms (3%)

Algorithm
1×egg-herbie
Rules
1048×associate-*r*
950×*-commutative
718×associate-*l*
660×associate-*l/
642×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070815451
1232314403
Stop Event
1×node limit
Counts
305 → 463
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 1 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))) (*.f64 -1 (/.f64 f n)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 f) f) n)))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 f) f) n)))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 f) f) n)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 f 3)) (pow.f64 f 3)) (pow.f64 n 3)))))) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 n 3) (*.f64 -1 (pow.f64 n 3))) (pow.f64 f 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(*.f64 -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 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)))))
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(/.f64 (+.f64 (*.f64 (+.f64 (neg.f64 n) f) 1) (*.f64 (neg.f64 f) (/.f64 (-.f64 n f) n))) (*.f64 (+.f64 (neg.f64 n) f) (/.f64 (-.f64 n f) n)))
(/.f64 (+.f64 (*.f64 (neg.f64 f) (+.f64 (neg.f64 n) f)) (*.f64 (+.f64 (neg.f64 n) f) (neg.f64 n))) (*.f64 (+.f64 (neg.f64 n) f) (+.f64 (neg.f64 n) f)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (pow.f64 (/.f64 f (-.f64 n f)) 2))) (neg.f64 (/.f64 (-.f64 n f) (-.f64 n f))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) (pow.f64 (/.f64 f (-.f64 n f)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 n (-.f64 n f)) 2) (*.f64 (/.f64 f (-.f64 n f)) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))))))
(/.f64 (neg.f64 (fma.f64 n (-.f64 n f) (*.f64 f (-.f64 n f)))) (neg.f64 (pow.f64 (-.f64 n f) 2)))
(pow.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))
(exp.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))))
(fma.f64 n (/.f64 1 (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 f (/.f64 1 (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 1 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 1 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) 2) (cbrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 2) (cbrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(+.f64 (*.f64 (/.f64 n (-.f64 (*.f64 n n) (*.f64 f f))) n) (*.f64 (/.f64 n (-.f64 (*.f64 n n) (*.f64 f f))) f))
(+.f64 (*.f64 (/.f64 n (-.f64 (*.f64 n n) (*.f64 f f))) f) (*.f64 (/.f64 n (-.f64 (*.f64 n n) (*.f64 f f))) n))
(+.f64 (*.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n n)) (*.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f (+.f64 n f))))
(+.f64 (*.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f (+.f64 n f))) (*.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n n)))
(+.f64 (*.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 n n) (*.f64 f f))) (*.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n f)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 n f)))) 1)
(*.f64 n (/.f64 1 (-.f64 n f)))
(*.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 (/.f64 1 (-.f64 n f)) n)
(*.f64 (neg.f64 n) (/.f64 1 (+.f64 (neg.f64 n) f)))
(*.f64 (/.f64 n 1) (/.f64 1 (-.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 n (-.f64 (*.f64 n n) (*.f64 f f))) (+.f64 n f))
(*.f64 (/.f64 n (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(*.f64 (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))) (*.f64 n (+.f64 n f)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 1 (+.f64 (neg.f64 n) f)) (neg.f64 n))
(*.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 n) (-.f64 n f)) (sqrt.f64 n))
(*.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))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (-.f64 n f)) (cbrt.f64 n))
(*.f64 (/.f64 n (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (neg.f64 (+.f64 n f)))
(*.f64 (/.f64 n (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 n (-.f64 (*.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))
(*.f64 (/.f64 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 n) 2))) (cbrt.f64 n))
(*.f64 (/.f64 (neg.f64 n) (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (+.f64 n f))
(*.f64 (/.f64 (neg.f64 n) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(*.f64 (/.f64 (/.f64 n 1) 1) (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 (/.f64 n 1) (-.f64 (*.f64 n n) (*.f64 f f))) (+.f64 n f))
(*.f64 (/.f64 (/.f64 n 1) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(*.f64 (/.f64 (/.f64 n 1) (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (neg.f64 (+.f64 n f)))
(*.f64 (/.f64 (/.f64 n 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 (/.f64 n 1) (-.f64 (*.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))
(*.f64 (/.f64 (/.f64 n 1) (+.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 (/.f64 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 n f)))))
(*.f64 (/.f64 (/.f64 n (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (sqrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (/.f64 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 n f)))))
(*.f64 (/.f64 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (cbrt.f64 (+.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 (/.f64 (-.f64 n f) n) -1)
(pow.f64 (pow.f64 (/.f64 n (-.f64 n f)) 3) 1/3)
(neg.f64 (/.f64 n (+.f64 (neg.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))))
(+.f64 (*.f64 (/.f64 f (-.f64 (*.f64 n n) (*.f64 f f))) n) (*.f64 (/.f64 f (-.f64 (*.f64 n n) (*.f64 f f))) f))
(+.f64 (*.f64 (/.f64 f (-.f64 (*.f64 n n) (*.f64 f f))) f) (*.f64 (/.f64 f (-.f64 (*.f64 n n) (*.f64 f f))) n))
(+.f64 (*.f64 (/.f64 f (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n n)) (*.f64 (/.f64 f (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f (+.f64 n f))))
(+.f64 (*.f64 (/.f64 f (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f (+.f64 n f))) (*.f64 (/.f64 f (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n n)))
(+.f64 (*.f64 (/.f64 f (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 n n) (*.f64 f f))) (*.f64 (/.f64 f (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n f)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 f (-.f64 n f)))) 1)
(*.f64 f (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 f (-.f64 n f)) 1)
(*.f64 1 (/.f64 f (-.f64 n f)))
(*.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f))))
(*.f64 (sqrt.f64 f) (*.f64 (sqrt.f64 f) (/.f64 1 (-.f64 n f))))
(*.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 2) (cbrt.f64 (/.f64 f (-.f64 n f))))
(*.f64 (pow.f64 (cbrt.f64 f) 2) (*.f64 (cbrt.f64 f) (/.f64 1 (-.f64 n f))))
(*.f64 (neg.f64 f) (/.f64 1 (+.f64 (neg.f64 n) f)))
(*.f64 (/.f64 1 (-.f64 n f)) f)
(*.f64 (/.f64 f 1) (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 f (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 f (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 f (-.f64 (*.f64 n n) (*.f64 f f))) (+.f64 n f))
(*.f64 (/.f64 f (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(*.f64 (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))) (*.f64 f (+.f64 n f)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 1 (+.f64 (neg.f64 n) f)) (neg.f64 f))
(*.f64 (/.f64 (sqrt.f64 f) 1) (/.f64 (sqrt.f64 f) (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 f) (-.f64 n f)) (sqrt.f64 f))
(*.f64 (/.f64 (sqrt.f64 f) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 f) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) 1) (/.f64 (cbrt.f64 f) (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 f) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 f (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 f) 2) (-.f64 n f)) (cbrt.f64 f))
(*.f64 (/.f64 f (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (neg.f64 (+.f64 n f)))
(*.f64 (/.f64 f (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 f (-.f64 (*.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))
(*.f64 (/.f64 f (+.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 f) 2))) (cbrt.f64 f))
(*.f64 (/.f64 (neg.f64 f) (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (+.f64 n f))
(*.f64 (/.f64 (neg.f64 f) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(*.f64 (/.f64 (/.f64 f 1) 1) (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 (/.f64 f 1) (-.f64 (*.f64 n n) (*.f64 f f))) (+.f64 n f))
(*.f64 (/.f64 (/.f64 f 1) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(*.f64 (/.f64 (/.f64 f 1) (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (neg.f64 (+.f64 n f)))
(*.f64 (/.f64 (/.f64 f 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 (/.f64 f 1) (-.f64 (*.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))
(*.f64 (/.f64 (/.f64 f 1) (+.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 (/.f64 f (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 n f)))))
(*.f64 (/.f64 (/.f64 f (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (sqrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (/.f64 f (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 (/.f64 f (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (cbrt.f64 (+.f64 n f)))
(pow.f64 (/.f64 f (-.f64 n f)) 1)
(pow.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) 2)
(pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 3)
(pow.f64 (/.f64 (-.f64 n f) f) -1)
(pow.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) 1/3)
(neg.f64 (/.f64 f (+.f64 (neg.f64 n) f)))
(sqrt.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 f (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 f (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3))
(expm1.f64 (log1p.f64 (/.f64 f (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 f (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 f (-.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 f (-.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)
(+.f64 -1 (*.f64 -2 (+.f64 (/.f64 n f) (/.f64 n (/.f64 (*.f64 f f) n)))))
(-.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)
(+.f64 -1 (*.f64 -2 (+.f64 (+.f64 (/.f64 n f) (/.f64 n (/.f64 (*.f64 f f) n))) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (/.f64 f n) (neg.f64 (/.f64 f n))))
(+.f64 1 (+.f64 (/.f64 f n) (/.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 1 (-.f64 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))) (neg.f64 (/.f64 f n))))
(+.f64 (/.f64 f n) (+.f64 (/.f64 f n) (+.f64 1 (*.f64 2 (/.f64 f (/.f64 (*.f64 n n) f))))))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 1 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))) (*.f64 -1 (/.f64 f n)))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 1 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))))) (neg.f64 (/.f64 f n)))
(+.f64 (/.f64 f n) (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (/.f64 f n) (+.f64 1 (*.f64 2 (/.f64 f (/.f64 (*.f64 n n) f)))))))
1
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(*.f64 (/.f64 1 (/.f64 (-.f64 n f) (pow.f64 (cbrt.f64 f) 2))) (cbrt.f64 f))
(*.f64 (pow.f64 (cbrt.f64 f) 2) (/.f64 (*.f64 (cbrt.f64 f) 1) (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) (*.f64 (cbrt.f64 f) (pow.f64 (cbrt.f64 f) 2)))
(*.f64 (/.f64 (neg.f64 f) (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (+.f64 n f))
(neg.f64 (*.f64 (/.f64 f (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (+.f64 n f)))
(*.f64 (+.f64 n f) (/.f64 (neg.f64 f) (+.f64 (*.f64 n (neg.f64 n)) (*.f64 f f))))
(*.f64 (/.f64 (neg.f64 f) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(*.f64 (neg.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))) (/.f64 f (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(/.f64 (neg.f64 f) (/.f64 (+.f64 (pow.f64 f 3) (neg.f64 (pow.f64 n 3))) (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 (/.f64 f 1) 1) (/.f64 1 (-.f64 n f)))
(/.f64 f (-.f64 n f))
(*.f64 (/.f64 (/.f64 f 1) (-.f64 (*.f64 n n) (*.f64 f f))) (+.f64 n f))
(*.f64 (+.f64 n f) (/.f64 f (-.f64 (*.f64 n n) (*.f64 f f))))
(*.f64 (+.f64 n f) (/.f64 (/.f64 f (+.f64 n f)) (-.f64 n f)))
(*.f64 (/.f64 (/.f64 f 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 f (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(*.f64 (/.f64 (/.f64 f 1) (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (neg.f64 (+.f64 n f)))
(neg.f64 (*.f64 (/.f64 f (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (+.f64 n f)))
(*.f64 (+.f64 n f) (/.f64 (neg.f64 f) (+.f64 (*.f64 n (neg.f64 n)) (*.f64 f f))))
(*.f64 (/.f64 (/.f64 f 1) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (neg.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))) (/.f64 f (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(/.f64 (neg.f64 f) (/.f64 (+.f64 (pow.f64 f 3) (neg.f64 (pow.f64 n 3))) (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 (/.f64 f 1) (-.f64 (*.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))
(*.f64 (+.f64 n f) (/.f64 f (-.f64 (*.f64 n n) (*.f64 f f))))
(*.f64 (+.f64 n f) (/.f64 (/.f64 f (+.f64 n f)) (-.f64 n f)))
(*.f64 (/.f64 (/.f64 f 1) (+.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 (fma.f64 n n (*.f64 f f)) (*.f64 n (neg.f64 f))) (/.f64 f (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(*.f64 (+.f64 (*.f64 f f) (*.f64 n (-.f64 n (neg.f64 f)))) (/.f64 f (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(*.f64 (/.f64 (/.f64 f (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 n f)))))
(*.f64 (sqrt.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))) (/.f64 f (*.f64 (sqrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (sqrt.f64 (-.f64 n f)))))
(*.f64 (sqrt.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))) (/.f64 (/.f64 f (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(*.f64 (/.f64 (/.f64 f (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (sqrt.f64 (+.f64 n f)))
(*.f64 (sqrt.f64 (+.f64 n f)) (/.f64 f (*.f64 (sqrt.f64 (-.f64 (*.f64 n n) (*.f64 f f))) (sqrt.f64 (-.f64 n f)))))
(/.f64 (/.f64 f (sqrt.f64 (-.f64 n f))) (/.f64 (sqrt.f64 (-.f64 (*.f64 n n) (*.f64 f f))) (sqrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (/.f64 f (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 (cbrt.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))) (/.f64 f (*.f64 (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))))
(*.f64 (cbrt.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))) (/.f64 f (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3))))))
(*.f64 (/.f64 (/.f64 f (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 f (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (+.f64 n f))) (cbrt.f64 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 (/.f64 f (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (cbrt.f64 (-.f64 (*.f64 n n) (*.f64 f f))) (cbrt.f64 (+.f64 n f))))
(pow.f64 (/.f64 f (-.f64 n f)) 1)
(/.f64 f (-.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) 2)
(/.f64 f (-.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) 3)
(/.f64 f (-.f64 n f))
(pow.f64 (/.f64 (-.f64 n f) f) -1)
(/.f64 f (-.f64 n f))
(pow.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) 1/3)
(/.f64 f (-.f64 n f))
(neg.f64 (/.f64 f (+.f64 (neg.f64 n) f)))
(*.f64 (neg.f64 f) (/.f64 1 (+.f64 f (neg.f64 n))))
(/.f64 (neg.f64 f) (+.f64 f (neg.f64 n)))
(sqrt.f64 (pow.f64 (/.f64 f (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 f (-.f64 n f))))
(/.f64 f (-.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 f (-.f64 n f)))))
(/.f64 f (-.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3))
(/.f64 f (-.f64 n f))
(expm1.f64 (log1p.f64 (/.f64 f (-.f64 n f))))
(/.f64 f (-.f64 n f))
(exp.f64 (log.f64 (/.f64 f (-.f64 n f))))
(/.f64 f (-.f64 n f))
(exp.f64 (*.f64 (log.f64 (/.f64 f (-.f64 n f))) 1))
(/.f64 f (-.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 f (-.f64 n f))))
(/.f64 f (-.f64 n f))

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓100.0%
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
✓99.9%
(/.f64 (-.f64 n f) (+.f64 n f))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite150.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
1726×associate-/l*
1406×associate-/r/
1062×*-commutative
764×distribute-lft-in
676×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0944
120438
2299938
Stop Event
1×node limit
Counts
2 → 181
Calls
Call 1
Inputs
(/.f64 (-.f64 n f) (+.f64 n f))
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
Outputs
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simplify149.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
812×*-commutative
802×associate-*r*
776×associate-/l*
716×times-frac
652×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05838221
119237909
Stop Event
1×node limit
Counts
229 → 295
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 2 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 2 (/.f64 n f))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 f n))) (/.f64 f n))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (*.f64 -1 (/.f64 f n)))) (/.f64 f n))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (+.f64 (/.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 -1 f) f)) (pow.f64 n 3)) (*.f64 -1 (/.f64 f n))))) (/.f64 f n))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 f n))) (/.f64 f n))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (*.f64 -1 (/.f64 f n)))) (/.f64 f n))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 f (-.f64 (*.f64 -1 f) f)) (pow.f64 n 2))) (+.f64 (/.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 -1 f) f)) (pow.f64 n 3)) (*.f64 -1 (/.f64 f n))))) (/.f64 f n))
1
(+.f64 1 (*.f64 -2 (/.f64 f n)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 -2 (/.f64 f n))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 -2 (/.f64 f n)))))
-1
(-.f64 (/.f64 n f) (+.f64 1 (*.f64 -1 (/.f64 n f))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (/.f64 n f)) (+.f64 1 (*.f64 -1 (/.f64 n f))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (/.f64 n f) (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3)))) (+.f64 1 (*.f64 -1 (/.f64 n f))))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 n) n) f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 n) n) f)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3))) (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)))) 1)
-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)))
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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)))
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)))
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-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)
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(+.f64 (/.f64 (-.f64 n f) (+.f64 n f)) (*.f64 (/.f64 1 (+.f64 n f)) (fma.f64 (neg.f64 f) 1 f)))
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(+.f64 (*.f64 (/.f64 (-.f64 n f) (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f (-.f64 f n))) (*.f64 (/.f64 (-.f64 n f) (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n n)))
(-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 n f) (+.f64 n f)))) 1)
(*.f64 (-.f64 n f) (/.f64 1 (+.f64 n f)))
(*.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 1)
(*.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
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(*.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2) (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
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(*.f64 (fma.f64 n n (*.f64 f (-.f64 f n))) (/.f64 (-.f64 n f) (+.f64 (pow.f64 n 3) (pow.f64 f 3))))
(*.f64 -1 (neg.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(*.f64 (neg.f64 (-.f64 n f)) (/.f64 1 (-.f64 (neg.f64 f) n)))
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(*.f64 (/.f64 1 (sqrt.f64 (+.f64 n f))) (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (-.f64 n f) (cbrt.f64 (+.f64 n f))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))
(*.f64 (/.f64 (-.f64 n f) (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (-.f64 f n))))
(*.f64 (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))) (pow.f64 (-.f64 n f) 2))
(*.f64 (/.f64 1 (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 (-.f64 n f) (fma.f64 n n (*.f64 f (-.f64 f n)))))
(*.f64 (/.f64 1 (-.f64 (neg.f64 f) n)) (neg.f64 (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (+.f64 n f)) (sqrt.f64 (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (/.f64 (sqrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 n f)) (cbrt.f64 (+.f64 n f))) (/.f64 (sqrt.f64 (-.f64 n f)) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) 1) (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(*.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (sqrt.f64 (+.f64 n f))) (/.f64 (cbrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 n f)) (sqrt.f64 (+.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (sqrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (+.f64 n f)) (cbrt.f64 (-.f64 n f)))
(*.f64 (/.f64 (-.f64 n f) (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (neg.f64 (-.f64 n f)))
(*.f64 (/.f64 (-.f64 n f) (neg.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (*.f64 f (-.f64 f n)))))
(*.f64 (/.f64 (neg.f64 (-.f64 n f)) (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (-.f64 n f))
(*.f64 (/.f64 (neg.f64 (-.f64 n f)) (neg.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 n n (*.f64 f (-.f64 f n))))
(*.f64 (/.f64 (-.f64 n f) (/.f64 (+.f64 n f) (/.f64 (sqrt.f64 (-.f64 n f)) (-.f64 n f)))) (sqrt.f64 (-.f64 n f)))
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(*.f64 (/.f64 (-.f64 n f) (-.f64 (*.f64 f f) (*.f64 n n))) (-.f64 f n))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2))) (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(*.f64 (/.f64 1 (/.f64 (+.f64 n f) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 1) (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (/.f64 (-.f64 n f) (+.f64 n f)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2) 1) (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2) -1) (cbrt.f64 (neg.f64 (/.f64 (-.f64 n f) (+.f64 n f)))))
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(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 n f)) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (-.f64 (*.f64 (*.f64 n n) (*.f64 n n)) (*.f64 (*.f64 f (+.f64 n f)) (*.f64 f (+.f64 n f))))) (-.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 n f)) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (pow.f64 (*.f64 n n) 3) (pow.f64 (*.f64 f (+.f64 n f)) 3))) (-.f64 (+.f64 (*.f64 (*.f64 n n) (*.f64 n n)) (*.f64 (*.f64 f (+.f64 n f)) (*.f64 f (+.f64 n f)))) (*.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 (/.f64 (-.f64 n f) (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 n f) (sqrt.f64 (+.f64 n f))) (sqrt.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (sqrt.f64 (-.f64 n f)))
(*.f64 (/.f64 (/.f64 (-.f64 n f) (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 n f) (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 (*.f64 n (+.f64 n f)) (*.f64 f (+.f64 n f))) (*.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 (pow.f64 n 3) (pow.f64 f 3)))) (*.f64 (fma.f64 n n (*.f64 f (-.f64 f n))) (fma.f64 n n (*.f64 f (-.f64 f n)))))
(*.f64 (/.f64 (-.f64 (*.f64 n (+.f64 n f)) (*.f64 f (+.f64 n f))) (*.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (-.f64 (*.f64 n n) (*.f64 f f)))) (pow.f64 (-.f64 n f) 2))
(*.f64 (/.f64 (-.f64 (*.f64 n (+.f64 n f)) (*.f64 f (+.f64 n f))) (*.f64 (+.f64 n f) (-.f64 (*.f64 n n) (*.f64 f f)))) (-.f64 n f))
(*.f64 (/.f64 (-.f64 (*.f64 n (+.f64 n f)) (*.f64 f (+.f64 n f))) (*.f64 (+.f64 n f) (+.f64 (pow.f64 n 3) (pow.f64 f 3)))) (fma.f64 n n (*.f64 f (-.f64 f n))))
(*.f64 (/.f64 (-.f64 (*.f64 n (+.f64 n f)) (*.f64 f (+.f64 n f))) (*.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (+.f64 (pow.f64 n 3) (pow.f64 f 3)))) (*.f64 (-.f64 n f) (fma.f64 n n (*.f64 f (-.f64 f n)))))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) 1)
(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)
(neg.f64 (/.f64 (-.f64 n f) (-.f64 (neg.f64 f) n)))
(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 n f) 3) (pow.f64 (+.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))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(+.f64 (*.f64 f (/.f64 1 (-.f64 n f))) (*.f64 n (/.f64 1 (-.f64 n f))))
(+.f64 (*.f64 n (/.f64 1 (-.f64 n f))) (*.f64 f (/.f64 1 (-.f64 n f))))
(+.f64 (*.f64 1 (*.f64 n (/.f64 1 (-.f64 n f)))) (*.f64 1 (*.f64 f (/.f64 1 (-.f64 n f)))))
(+.f64 (*.f64 1 (*.f64 f (/.f64 1 (-.f64 n f)))) (*.f64 1 (*.f64 n (/.f64 1 (-.f64 n f)))))
(+.f64 (*.f64 (/.f64 1 (neg.f64 (-.f64 n f))) (neg.f64 f)) (*.f64 (/.f64 1 (neg.f64 (-.f64 n f))) (neg.f64 n)))
(+.f64 (*.f64 (/.f64 1 (neg.f64 (-.f64 n f))) (neg.f64 n)) (*.f64 (/.f64 1 (neg.f64 (-.f64 n f))) (neg.f64 f)))
(+.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))))
(+.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)))
(+.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 n n) (*.f64 f f))) (*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n f)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1)
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 n f)))
(*.f64 1 (/.f64 (+.f64 n f) (-.f64 n f)))
(*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(*.f64 (sqrt.f64 (+.f64 n f)) (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(*.f64 (cbrt.f64 (+.f64 n f)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (/.f64 1 (-.f64 n f))))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 n f))
(*.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (/.f64 1 (+.f64 n f)) -1))
(*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 3) (pow.f64 f 3))))
(*.f64 -1 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) -1))
(*.f64 -1 (neg.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(*.f64 (-.f64 (neg.f64 f) n) (/.f64 1 (neg.f64 (-.f64 n f))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (/.f64 1 (-.f64 n f))) (cbrt.f64 (+.f64 n f)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 n f) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 n f) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2)) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(*.f64 (/.f64 (+.f64 n f) (sqrt.f64 (-.f64 n f))) (/.f64 1 (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (+.f64 n f) (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 n f) 2))
(*.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 (+.f64 n f) (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 n f))) (-.f64 (neg.f64 f) n))
(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(*.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) -1) -1)
(*.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) (sqrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 (+.f64 n f)) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (cbrt.f64 (-.f64 n f))) (/.f64 (sqrt.f64 (+.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) 1) (/.f64 (cbrt.f64 (+.f64 n f)) (-.f64 n f)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 n f)) (-.f64 n f)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 n f)) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 n f)) (sqrt.f64 (-.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(*.f64 (pow.f64 (/.f64 1 (+.f64 n f)) -1) (/.f64 1 (-.f64 n f)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -1) (pow.f64 (sqrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (-.f64 n f)) (cbrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (*.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (-.f64 (*.f64 n n) (*.f64 f f)))) (pow.f64 (+.f64 n f) 2))
(*.f64 (/.f64 1 (neg.f64 (neg.f64 (-.f64 n f)))) (neg.f64 (-.f64 (neg.f64 f) n)))
(*.f64 (/.f64 (+.f64 n f) (/.f64 (+.f64 n f) (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))) (sqrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (+.f64 n f) (/.f64 (+.f64 n f) (/.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (-.f64 n f)))) (cbrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (+.f64 n f) (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (-.f64 (neg.f64 f) n))
(*.f64 (/.f64 (+.f64 n f) (neg.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (neg.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 (+.f64 n f) (-.f64 (*.f64 n n) (*.f64 (neg.f64 f) (neg.f64 f)))) (-.f64 n (neg.f64 f)))
(*.f64 (/.f64 (+.f64 n f) (+.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 n f)) 2))) (cbrt.f64 (+.f64 n f)))
(*.f64 (/.f64 1 (-.f64 (*.f64 (/.f64 n (+.f64 n f)) (/.f64 n (+.f64 n f))) (*.f64 (/.f64 f (+.f64 n f)) (/.f64 f (+.f64 n f))))) (+.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (/.f64 n (+.f64 n f)) 3) (pow.f64 (/.f64 f (+.f64 n f)) 3))) (+.f64 (*.f64 (/.f64 n (+.f64 n f)) (/.f64 n (+.f64 n f))) (+.f64 (*.f64 (/.f64 f (+.f64 n f)) (/.f64 f (+.f64 n f))) (*.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))))
(*.f64 (/.f64 1 (-.f64 (*.f64 n (+.f64 n f)) (*.f64 f (+.f64 n f)))) (pow.f64 (+.f64 n f) 2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1) (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (sqrt.f64 (neg.f64 (-.f64 n f)))) (sqrt.f64 (-.f64 (neg.f64 f) n)))
(*.f64 (/.f64 (/.f64 1 (-.f64 n f)) 1) (+.f64 n f))
(*.f64 (/.f64 (/.f64 1 (-.f64 n f)) -1) (-.f64 (neg.f64 f) n))
(*.f64 (/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (sqrt.f64 (+.f64 n f)))) (sqrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 n f)) 2))) (cbrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (*.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (*.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))) (*.f64 (+.f64 n f) (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 -1 (neg.f64 (neg.f64 (-.f64 n f)))) (-.f64 (neg.f64 f) n))
(*.f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (+.f64 n f))
(*.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 n f))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (-.f64 (*.f64 (*.f64 n n) (*.f64 n n)) (*.f64 (*.f64 f (-.f64 f n)) (*.f64 f (-.f64 f n))))) (-.f64 (*.f64 n n) (*.f64 f (-.f64 f n))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (pow.f64 (*.f64 n n) 3) (pow.f64 (*.f64 f (-.f64 f n)) 3))) (+.f64 (*.f64 (*.f64 n n) (*.f64 n n)) (-.f64 (*.f64 (*.f64 f (-.f64 f n)) (*.f64 f (-.f64 f n))) (*.f64 (*.f64 n n) (*.f64 f (-.f64 f n))))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2)) 1) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2)) (cbrt.f64 (-.f64 n f))) (cbrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 n f) (+.f64 n f))) 2)) (cbrt.f64 (neg.f64 (-.f64 n f)))) (cbrt.f64 (-.f64 (neg.f64 f) n)))
(*.f64 (/.f64 (/.f64 (+.f64 n f) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (sqrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (/.f64 (+.f64 n f) (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 n f)))))
(*.f64 (/.f64 (/.f64 (+.f64 n f) (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 (+.f64 n f) (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)))))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1)
(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 n f) 3) (pow.f64 (-.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 n f)) (log.f64 (-.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
Outputs
-1
(-.f64 (*.f64 2 (/.f64 n f)) 1)
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(*.f64 (cbrt.f64 (+.f64 n f)) (/.f64 (/.f64 (+.f64 n f) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (*.f64 n n) (*.f64 f f)))))
(/.f64 (/.f64 (+.f64 n f) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (cbrt.f64 (-.f64 (*.f64 n n) (*.f64 f f))) (cbrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (/.f64 (+.f64 n f) (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 (+.f64 n f) (*.f64 (cbrt.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 (+.f64 n f) (*.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)))))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -1)
(/.f64 (+.f64 n f) (-.f64 n f))
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(/.f64 (+.f64 n f) (-.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(/.f64 (+.f64 n f) (-.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 3)
(/.f64 (+.f64 n f) (-.f64 n f))
(pow.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3) 1/3)
(/.f64 (+.f64 n f) (-.f64 n f))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) -2))
(fabs.f64 (/.f64 (+.f64 n f) (-.f64 n f)))
(log.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(/.f64 (+.f64 n f) (-.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3))
(/.f64 (+.f64 n f) (-.f64 n f))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 n f) 3) (pow.f64 (-.f64 n f) 3)))
(/.f64 (+.f64 n f) (-.f64 n f))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(exp.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(exp.f64 (-.f64 (log.f64 (+.f64 n f)) (log.f64 (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))

eval681.0ms (8.4%)

Compiler

Compiled 18426 to 6048 computations (67.2% saved)

prune287.0ms (3.5%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New7580758
Fresh022
Picked011
Done055
Total7588766
Error
100.0%
Counts
766 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
✓99.9%
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
✓48.7%
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓99.9%
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
✓52.7%
(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓99.7%
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
51.5%
1
47.7%
-1
Compiler

Compiled 68 to 45 computations (33.8% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune8.0ms (0.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done066
Total088
Error
100.0%
Counts
8 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
✓99.9%
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
✓48.7%
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓99.9%
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
✓52.7%
(+.f64 (*.f64 2 (/.f64 f n)) 1)
✓99.7%
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
51.5%
1
47.7%
-1
Compiler

Compiled 68 to 45 computations (33.8% saved)

regimes34.0ms (0.4%)

Counts
11 → 1
Calls
Call 1
Inputs
-1
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (*.f64 -2 (/.f64 n f)) 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 1 (/.f64 (-.f64 n f) (+.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (*.f64 (/.f64 1 (-.f64 n f)) f))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
Calls

3 calls:

16.0ms
n
9.0ms
f
5.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
ErrorSegmentsBranch
99.9%1f
99.9%1n
99.9%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 102 to 50 computations (51% saved)

regimes61.0ms (0.8%)

Counts
4 → 5
Calls
Call 1
Inputs
-1
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
Outputs
(+.f64 (*.f64 2 (/.f64 f n)) 1)
-1
1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) 1)
Calls

2 calls:

31.0ms
n
29.0ms
f
Results
ErrorSegmentsBranch
78.0%3f
81.9%5n
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch74.0ms (0.9%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
22.0ms
2.6128463910778628e-49
1.5595094643674434e-41
22.0ms
-6.640254435721115e-50
-4.9443854812486814e-51
3.0ms
-1.46585368541996e-8
-2.743291959780362e-12
28.0ms
-4.879590898075083e+20
-31767445087701.527
Results
66.0ms400×body256valid
Compiler

Compiled 413 to 342 computations (17.2% saved)

regimes60.0ms (0.7%)

Counts
3 → 5
Calls
Call 1
Inputs
-1
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
Outputs
(+.f64 (*.f64 2 (/.f64 f n)) 1)
-1
1
-1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
Calls

2 calls:

33.0ms
n
26.0ms
f
Results
ErrorSegmentsBranch
77.4%3f
81.5%5n
Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch76.0ms (0.9%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
1.0979640008750879e-69
1.8365767896583234e-69
15.0ms
-6.640254435721115e-50
-4.9443854812486814e-51
23.0ms
-1.46585368541996e-8
-2.743291959780362e-12
27.0ms
-4.879590898075083e+20
-31767445087701.527
Results
67.0ms432×body256valid
Compiler

Compiled 309 to 278 computations (10% saved)

regimes132.0ms (1.6%)

Accuracy

Total -50.7b remaining (-411.6%)

Threshold costs -50.70b (-411.6%)

Counts
2 → 5
Calls
Call 1
Inputs
-1
1
Outputs
1
-1
1
-1
1
Calls

2 calls:

114.0ms
n
16.0ms
f
Results
ErrorSegmentsBranch
76.9%3f
80.8%5n
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch49.0ms (0.6%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×predicate-same
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
12.0ms
1.0979640008750879e-69
1.8365767896583234e-69
8.0ms
-6.640254435721115e-50
-4.9443854812486814e-51
20.0ms
-1.46585368541996e-8
-2.743291959780362e-12
9.0ms
-4.879590898075083e+20
-31767445087701.527
Results
43.0ms288×body256valid
Compiler

Compiled 159 to 154 computations (3.1% saved)

simplify24.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
056233
172233
279233
387233
492233
596233
697233
798233
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -3900000000000000) (+.f64 (*.f64 2 (/.f64 f n)) 1) (if (<=.f64 n -3022314549036573/302231454903657293676544) -1 (if (<=.f64 n -6318737500113431/105312291668557186697918027683670432318895095400549111254310977536) 1 (if (<=.f64 n 41377379603379/3064991081731777716716694054300618367237478244367204352) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))))
(if (<=.f64 n -67000000000000) (+.f64 (*.f64 2 (/.f64 f n)) 1) (if (<=.f64 n -2135446567767281/309485009821345068724781056) -1 (if (<=.f64 n -3264681041725273/52656145834278593348959013841835216159447547700274555627155488768) 1 (if (<=.f64 n 6993608012012625/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) -1 (+.f64 (*.f64 2 (/.f64 f n)) 1)))))
(if (<=.f64 n -5000000000000000000) 1 (if (<=.f64 n -3961408125713217/618970019642690137449562112) -1 (if (<=.f64 n -5265614583427859/105312291668557186697918027683670432318895095400549111254310977536) 1 (if (<=.f64 n 1699835280697513/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) -1 1))))
-1
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -3900000000000000) (+.f64 (*.f64 2 (/.f64 f n)) 1) (if (<=.f64 n -3022314549036573/302231454903657293676544) -1 (if (<=.f64 n -6318737500113431/105312291668557186697918027683670432318895095400549111254310977536) 1 (if (<=.f64 n 41377379603379/3064991081731777716716694054300618367237478244367204352) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))))
(if (<=.f64 n -3900000000000000) (+.f64 (*.f64 2 (/.f64 f n)) 1) (if (<=.f64 n -3022314549036573/302231454903657293676544) -1 (if (<=.f64 n -6318737500113431/105312291668557186697918027683670432318895095400549111254310977536) 1 (if (<=.f64 n 41377379603379/3064991081731777716716694054300618367237478244367204352) (+.f64 (*.f64 -2 (/.f64 n f)) -1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))))
(if (<=.f64 n -3900000000000000) (+.f64 (*.f64 2 (/.f64 f n)) 1) (if (<=.f64 n -3022314549036573/302231454903657293676544) -1 (if (<=.f64 n -6318737500113431/105312291668557186697918027683670432318895095400549111254310977536) 1 (if (<=.f64 n 41377379603379/3064991081731777716716694054300618367237478244367204352) (+.f64 -1 (*.f64 -2 (/.f64 n f))) (+.f64 (*.f64 2 (/.f64 f n)) 1)))))
(if (<=.f64 n -67000000000000) (+.f64 (*.f64 2 (/.f64 f n)) 1) (if (<=.f64 n -2135446567767281/309485009821345068724781056) -1 (if (<=.f64 n -3264681041725273/52656145834278593348959013841835216159447547700274555627155488768) 1 (if (<=.f64 n 6993608012012625/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) -1 (+.f64 (*.f64 2 (/.f64 f n)) 1)))))
(if (<=.f64 n -5000000000000000000) 1 (if (<=.f64 n -3961408125713217/618970019642690137449562112) -1 (if (<=.f64 n -5265614583427859/105312291668557186697918027683670432318895095400549111254310977536) 1 (if (<=.f64 n 1699835280697513/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) -1 1))))
-1
Compiler

Compiled 111 to 83 computations (25.2% saved)

soundness559.0ms (6.9%)

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)

end99.0ms (1.2%)

Compiler

Compiled 103 to 74 computations (28.2% saved)

Profiling

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