Details

Time bar (total: 4.7s)

analyze73.0ms (1.6%)

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)

sample707.0ms (15.1%)

Results
696.0ms8256×body256valid
Bogosity

preprocess157.0ms (3.4%)

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)

simplify145.0ms (3.1%)

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

Useful iterations: 6 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 25 to 11 computations (56% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Error
0.04%
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.04%
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.04%
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 17 to 5 computations (70.6% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite83.0ms (1.8%)

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))))))))

simplify99.0ms (2.1%)

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))

eval63.0ms (1.3%)

Compiler

Compiled 2596 to 954 computations (63.3% saved)

prune20.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1296135
Fresh000
Picked011
Done000
Total1297136
Error
0%
Counts
136 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.04%
(/.f64 (+.f64 f n) (-.f64 n f))
▶49.17%
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶0.23%
(+.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (*.f64 (/.f64 1 (-.f64 n f)) f))
▶48.97%
(+.f64 (*.f64 2 (/.f64 f n)) 1)
▶49.72%
(*.f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (+.f64 f n))
49.66%
1
49.95%
-1
Compiler

Compiled 69 to 46 computations (33.3% saved)

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.22%
(*.f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (+.f64 f n))
✓3.36%
(-.f64 (*.f64 n n) (*.f64 f f))
✓47.58%
(/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f))))
Compiler

Compiled 64 to 11 computations (82.8% saved)

series5.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite179.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
1068×associate-+l+
456×egg-rr
434×associate-+l-
364×add-sqr-sqrt
356×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014109
133645
2608245
Stop Event
1×node limit
Counts
3 → 542
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f))))
(-.f64 (*.f64 n n) (*.f64 f f))
(*.f64 (/.f64 (-.f64 (neg.f64 f) n) (neg.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (+.f64 f n))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (*.f64 f f))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))) (fma.f64 f f (*.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f f) (+.f64 (fma.f64 f f (*.f64 f f)) (fma.f64 f f (*.f64 f f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))) (+.f64 (fma.f64 f f (*.f64 f f)) (fma.f64 f f (*.f64 f f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f f) (*.f64 -1 (fma.f64 f f (*.f64 f f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (+.f64 (*.f64 f f) (fma.f64 f f (*.f64 f f))) (*.f64 -1 (fma.f64 f f (*.f64 f f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n n) (+.f64 (*.f64 f f) (*.f64 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simplify295.0ms (6.3%)

Algorithm
1×egg-herbie
Rules
1684×+-commutative
720×associate--l-
670×fma-def
560×associate-+r+
498×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0111122958
1312121376
2785421342
Stop Event
1×node limit
Counts
614 → 777
Calls
Call 1
Inputs
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 4)) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))))
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(/.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 (pow.f64 f 2))
(+.f64 (pow.f64 n 2) (*.f64 -1 (pow.f64 f 2)))
(+.f64 (pow.f64 n 2) (*.f64 -1 (pow.f64 f 2)))
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(/.f64 (/.f64 (pow.f64 (+.f64 f n) 2) 1) (pow.f64 (+.f64 f n) 2))
(/.f64 (-.f64 (*.f64 (/.f64 f (+.f64 f n)) (/.f64 f (+.f64 f n))) (*.f64 (/.f64 n (+.f64 f n)) (/.f64 n (+.f64 f n)))) (-.f64 (/.f64 f (+.f64 f n)) (/.f64 n (+.f64 f n))))
(/.f64 (+.f64 (pow.f64 (/.f64 f (+.f64 f n)) 3) (pow.f64 (/.f64 n (+.f64 f n)) 3)) (-.f64 (+.f64 (*.f64 (/.f64 f (+.f64 f n)) (/.f64 f (+.f64 f n))) (*.f64 (/.f64 n (+.f64 f n)) (/.f64 n (+.f64 f n)))) (*.f64 (/.f64 f (+.f64 f n)) (/.f64 n (+.f64 f n)))))
(/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) 1) (+.f64 (pow.f64 f 3) (pow.f64 n 3)))
(pow.f64 (/.f64 (+.f64 f n) (+.f64 f n)) 1)
(pow.f64 (/.f64 (+.f64 f n) (+.f64 f n)) 3)
(pow.f64 (/.f64 (+.f64 f n) (+.f64 f n)) 2)
(pow.f64 (/.f64 (+.f64 f n) (+.f64 f n)) 1/2)
(pow.f64 (/.f64 (+.f64 f n) (+.f64 f n)) 1/3)
(sqrt.f64 (/.f64 (+.f64 f n) (+.f64 f n)))
(fabs.f64 (/.f64 (+.f64 f n) (+.f64 f n)))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (+.f64 f n))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (+.f64 f n)))))
(cbrt.f64 (/.f64 (+.f64 f n) (+.f64 f n)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 f n)) 3) (pow.f64 (+.f64 f n) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (/.f64 1 (+.f64 f n)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (+.f64 f n))))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (+.f64 f n))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (+.f64 f n))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (+.f64 f n))))
(fma.f64 f (/.f64 1 (+.f64 f n)) (/.f64 n (+.f64 f n)))
(fma.f64 (/.f64 1 (+.f64 f n)) f (/.f64 n (+.f64 f n)))
Outputs
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (/.f64 f (*.f64 n n)))
(+.f64 (/.f64 1 n) (/.f64 (/.f64 f n) n))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (*.f64 n n)) (/.f64 (*.f64 f f) (pow.f64 n 3))))
(+.f64 (+.f64 (/.f64 1 n) (/.f64 (/.f64 f n) n)) (/.f64 (*.f64 f f) (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 (/.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 (/.f64 1 n) (/.f64 (/.f64 f n) n)) (+.f64 (/.f64 (*.f64 f f) (pow.f64 n 3)) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (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 (fma.f64 -1 (/.f64 n (*.f64 f f)) (/.f64 (*.f64 n (neg.f64 n)) (pow.f64 f 3))) (/.f64 1 f))
(fma.f64 -1 (+.f64 (/.f64 n (*.f64 f f)) (/.f64 (*.f64 n n) (pow.f64 f 3))) (/.f64 -1 f))
(-.f64 (+.f64 (*.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))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 n) (*.f64 f f)) (/.f64 (*.f64 n n) (pow.f64 f 3))) (/.f64 (pow.f64 n 3) (pow.f64 f 4))) (/.f64 -1 f))
(-.f64 (neg.f64 (+.f64 (/.f64 (*.f64 n n) (pow.f64 f 3)) (/.f64 (pow.f64 n 3) (pow.f64 f 4)))) (+.f64 (/.f64 n (*.f64 f f)) (/.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))
(-.f64 (fma.f64 -1 (/.f64 n (*.f64 f f)) (/.f64 (*.f64 n (neg.f64 n)) (pow.f64 f 3))) (/.f64 1 f))
(fma.f64 -1 (+.f64 (/.f64 n (*.f64 f f)) (/.f64 (*.f64 n n) (pow.f64 f 3))) (/.f64 -1 f))
(-.f64 (+.f64 (*.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))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 n) (*.f64 f f)) (/.f64 (*.f64 n n) (pow.f64 f 3))) (/.f64 (pow.f64 n 3) (pow.f64 f 4))) (/.f64 -1 f))
(-.f64 (neg.f64 (+.f64 (/.f64 (*.f64 n n) (pow.f64 f 3)) (/.f64 (pow.f64 n 3) (pow.f64 f 4)))) (+.f64 (/.f64 n (*.f64 f f)) (/.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))
(-.f64 (fma.f64 -1 (/.f64 n (*.f64 f f)) (/.f64 (*.f64 n (neg.f64 n)) (pow.f64 f 3))) (/.f64 1 f))
(fma.f64 -1 (+.f64 (/.f64 n (*.f64 f f)) (/.f64 (*.f64 n n) (pow.f64 f 3))) (/.f64 -1 f))
(-.f64 (+.f64 (*.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))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 n) (*.f64 f f)) (/.f64 (*.f64 n n) (pow.f64 f 3))) (/.f64 (pow.f64 n 3) (pow.f64 f 4))) (/.f64 -1 f))
(-.f64 (neg.f64 (+.f64 (/.f64 (*.f64 n n) (pow.f64 f 3)) (/.f64 (pow.f64 n 3) (pow.f64 f 4)))) (+.f64 (/.f64 n (*.f64 f f)) (/.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 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 (/.f64 1 n) (/.f64 (/.f64 f n) n)) (/.f64 (*.f64 f f) (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 (/.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 (/.f64 1 n) (/.f64 (/.f64 f n) n)) (+.f64 (/.f64 (*.f64 f f) (pow.f64 n 3)) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (/.f64 f (*.f64 n n)))
(+.f64 (/.f64 1 n) (/.f64 (/.f64 f n) n))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (*.f64 n n)) (/.f64 (*.f64 f f) (pow.f64 n 3))))
(+.f64 (+.f64 (/.f64 1 n) (/.f64 (/.f64 f n) n)) (/.f64 (*.f64 f f) (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 (/.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 (/.f64 1 n) (/.f64 (/.f64 f n) n)) (+.f64 (/.f64 (*.f64 f f) (pow.f64 n 3)) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(*.f64 -1 (pow.f64 f 2))
(neg.f64 (*.f64 f f))
(*.f64 f (neg.f64 f))
(+.f64 (pow.f64 n 2) (*.f64 -1 (pow.f64 f 2)))
(+.f64 (*.f64 n n) (neg.f64 (*.f64 f f)))
(fma.f64 n n (*.f64 f (neg.f64 f)))
(+.f64 (pow.f64 n 2) (*.f64 -1 (pow.f64 f 2)))
(+.f64 (*.f64 n n) (neg.f64 (*.f64 f f)))
(fma.f64 n n (*.f64 f (neg.f64 f)))
(+.f64 (pow.f64 n 2) (*.f64 -1 (pow.f64 f 2)))
(+.f64 (*.f64 n n) (neg.f64 (*.f64 f f)))
(fma.f64 n n (*.f64 f (neg.f64 f)))
(pow.f64 n 2)
(*.f64 n n)
(+.f64 (pow.f64 n 2) (*.f64 -1 (pow.f64 f 2)))
(+.f64 (*.f64 n n) (neg.f64 (*.f64 f f)))
(fma.f64 n n (*.f64 f (neg.f64 f)))
(+.f64 (pow.f64 n 2) (*.f64 -1 (pow.f64 f 2)))
(+.f64 (*.f64 n n) (neg.f64 (*.f64 f f)))
(fma.f64 n n (*.f64 f (neg.f64 f)))
(+.f64 (pow.f64 n 2) (*.f64 -1 (pow.f64 f 2)))
(+.f64 (*.f64 n n) (neg.f64 (*.f64 f f)))
(fma.f64 n n (*.f64 f (neg.f64 f)))
(pow.f64 n 2)
(*.f64 n n)
(+.f64 (pow.f64 n 2) (*.f64 -1 (pow.f64 f 2)))
(+.f64 (*.f64 n n) (neg.f64 (*.f64 f f)))
(fma.f64 n n (*.f64 f (neg.f64 f)))
(+.f64 (pow.f64 n 2) (*.f64 -1 (pow.f64 f 2)))
(+.f64 (*.f64 n n) (neg.f64 (*.f64 f f)))
(fma.f64 n n (*.f64 f (neg.f64 f)))
(+.f64 (pow.f64 n 2) (*.f64 -1 (pow.f64 f 2)))
(+.f64 (*.f64 n n) (neg.f64 (*.f64 f f)))
(fma.f64 n n (*.f64 f (neg.f64 f)))
(pow.f64 n 2)
(*.f64 n n)
(+.f64 (pow.f64 n 2) (*.f64 -1 (pow.f64 f 2)))
(+.f64 (*.f64 n n) (neg.f64 (*.f64 f f)))
(fma.f64 n n (*.f64 f (neg.f64 f)))
(+.f64 (pow.f64 n 2) (*.f64 -1 (pow.f64 f 2)))
(+.f64 (*.f64 n n) (neg.f64 (*.f64 f f)))
(fma.f64 n n (*.f64 f (neg.f64 f)))
(+.f64 (pow.f64 n 2) (*.f64 -1 (pow.f64 f 2)))
(+.f64 (*.f64 n n) (neg.f64 (*.f64 f f)))
(fma.f64 n n (*.f64 f (neg.f64 f)))
(*.f64 -1 (pow.f64 f 2))
(neg.f64 (*.f64 f f))
(*.f64 f (neg.f64 f))
(+.f64 (pow.f64 n 2) (*.f64 -1 (pow.f64 f 2)))
(+.f64 (*.f64 n n) (neg.f64 (*.f64 f f)))
(fma.f64 n n (*.f64 f (neg.f64 f)))
(+.f64 (pow.f64 n 2) (*.f64 -1 (pow.f64 f 2)))
(+.f64 (*.f64 n n) (neg.f64 (*.f64 f f)))
(fma.f64 n n (*.f64 f (neg.f64 f)))
(+.f64 (pow.f64 n 2) (*.f64 -1 (pow.f64 f 2)))
(+.f64 (*.f64 n n) (neg.f64 (*.f64 f f)))
(fma.f64 n n (*.f64 f (neg.f64 f)))
(*.f64 -1 (pow.f64 f 2))
(neg.f64 (*.f64 f f))
(*.f64 f (neg.f64 f))
(+.f64 (pow.f64 n 2) (*.f64 -1 (pow.f64 f 2)))
(+.f64 (*.f64 n n) (neg.f64 (*.f64 f f)))
(fma.f64 n n (*.f64 f (neg.f64 f)))
(+.f64 (pow.f64 n 2) (*.f64 -1 (pow.f64 f 2)))
(+.f64 (*.f64 n n) (neg.f64 (*.f64 f f)))
(fma.f64 n n (*.f64 f (neg.f64 f)))
(+.f64 (pow.f64 n 2) (*.f64 -1 (pow.f64 f 2)))
(+.f64 (*.f64 n n) (neg.f64 (*.f64 f f)))
(fma.f64 n n (*.f64 f (neg.f64 f)))
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)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (*.f64 f (+.f64 f f)) (*.f64 n n)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (*.f64 2 (*.f64 f f)) (*.f64 n n))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (*.f64 f (+.f64 f f)) (*.f64 n n))))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 n 2) (*.f64 -1 (pow.f64 n 2))) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1)
(+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 f f))) (fma.f64 -2 (/.f64 n f) -1))
(+.f64 -1 (-.f64 (*.f64 -2 (/.f64 n f)) (/.f64 (*.f64 2 (*.f64 n n)) (*.f64 f f))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 n 2) (*.f64 -1 (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)) (fma.f64 -1 (/.f64 (-.f64 (*.f64 n n) (*.f64 n (neg.f64 n))) (*.f64 f f)) (*.f64 -2 (/.f64 n f)))) -1)
(+.f64 -1 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (-.f64 (*.f64 -2 (/.f64 n f)) (/.f64 (*.f64 2 (*.f64 n n)) (*.f64 f f)))))
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 -2 (/.f64 n f))) (+.f64 1 (/.f64 (*.f64 n n) (*.f64 f f))))
(-.f64 (-.f64 (fma.f64 -2 (/.f64 n f) -1) (*.f64 (/.f64 n f) (/.f64 n f))) (*.f64 (/.f64 n f) (/.f64 n f)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) (+.f64 1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))))
(-.f64 (fma.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 -2 (/.f64 n f)))) (+.f64 1 (/.f64 (*.f64 n n) (*.f64 f f))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (-.f64 (-.f64 (fma.f64 -2 (/.f64 n f) -1) (*.f64 (/.f64 n f) (/.f64 n f))) (*.f64 (/.f64 n f) (/.f64 n f))))
-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)
(+.f64 -1 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f))))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 f 2)) (pow.f64 f 2)) (pow.f64 n 2)))))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 f f)) (*.f64 f f)) (*.f64 n n))))
(-.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (*.f64 (*.f64 f f) -2) (*.f64 n n)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 f 2)) (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) (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 f f)) (*.f64 f f)) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (-.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (*.f64 (*.f64 f f) -2) (*.f64 n n))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 (*.f64 2 (/.f64 f n)) 1)) (*.f64 -1 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 f f)) (*.f64 f f)) (*.f64 n n))))
(-.f64 (fma.f64 2 (/.f64 f n) 1) (/.f64 (*.f64 (*.f64 f f) -2) (*.f64 n n)))
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(/.f64 (-.f64 (pow.f64 f 4) (pow.f64 n 4)) (pow.f64 (+.f64 f n) 2))
(/.f64 (-.f64 (pow.f64 f 4) (pow.f64 n 4)) (pow.f64 (+.f64 n f) 2))
(/.f64 (-.f64 0 (+.f64 (pow.f64 n 4) (pow.f64 f 4))) (pow.f64 (+.f64 f n) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 n 4) (pow.f64 f 4))) (pow.f64 (+.f64 n f) 2))
(/.f64 (-.f64 (neg.f64 (pow.f64 n 4)) (pow.f64 f 4)) (pow.f64 (+.f64 n f) 2))
(/.f64 (+.f64 (pow.f64 n 6) (pow.f64 f 6)) (+.f64 (pow.f64 n 4) (-.f64 (pow.f64 f 4) (pow.f64 (*.f64 f n) 2))))
(/.f64 (+.f64 (pow.f64 n 6) (pow.f64 f 6)) (+.f64 (pow.f64 n 4) (-.f64 (pow.f64 f 4) (pow.f64 (*.f64 n f) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 f n) 2) 3) (pow.f64 (fma.f64 f f (*.f64 f f)) 3)) (-.f64 (+.f64 (+.f64 (pow.f64 n 4) (pow.f64 f 4)) (*.f64 (fma.f64 f f (*.f64 f f)) (fma.f64 f f (*.f64 f f)))) (*.f64 (pow.f64 (+.f64 f n) 2) (fma.f64 f f (*.f64 f f)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 n f) 2) 3) (pow.f64 (fma.f64 f f (*.f64 f f)) 3)) (+.f64 (+.f64 (pow.f64 n 4) (pow.f64 f 4)) (-.f64 (*.f64 (fma.f64 f f (*.f64 f f)) (fma.f64 f f (*.f64 f f))) (*.f64 (pow.f64 (+.f64 n f) 2) (fma.f64 f f (*.f64 f f))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 n f) 2) 3) (pow.f64 (*.f64 f (+.f64 f f)) 3)) (+.f64 (+.f64 (pow.f64 n 4) (pow.f64 f 4)) (*.f64 (*.f64 f (+.f64 f f)) (-.f64 (*.f64 f (+.f64 f f)) (pow.f64 (+.f64 n f) 2)))))
(/.f64 (-.f64 (pow.f64 f 6) (pow.f64 n 6)) (+.f64 (+.f64 (pow.f64 n 4) (pow.f64 f 4)) (pow.f64 (*.f64 f n) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 n 6) (pow.f64 f 6))) (+.f64 (pow.f64 n 4) (+.f64 (pow.f64 f 4) (pow.f64 (*.f64 n f) 2))))
(/.f64 (-.f64 (pow.f64 f 6) (pow.f64 n 6)) (+.f64 (pow.f64 n 4) (+.f64 (pow.f64 f 4) (pow.f64 (*.f64 n f) 2))))
(/.f64 (-.f64 0 (pow.f64 (pow.f64 (+.f64 f n) 2) 3)) (+.f64 (+.f64 0 (+.f64 (pow.f64 n 4) (pow.f64 f 4))) (*.f64 0 (pow.f64 (+.f64 f n) 2))))
(/.f64 (neg.f64 (pow.f64 (pow.f64 (+.f64 n f) 2) 3)) (+.f64 (pow.f64 n 4) (pow.f64 f 4)))
(/.f64 (*.f64 (pow.f64 (+.f64 f n) 2) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(/.f64 (+.f64 n f) (/.f64 (fma.f64 f f (*.f64 n (+.f64 n f))) (+.f64 (pow.f64 n 3) (pow.f64 f 3))))
(*.f64 (/.f64 (+.f64 n f) (fma.f64 f f (*.f64 n (+.f64 n f)))) (+.f64 (pow.f64 n 3) (pow.f64 f 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (pow.f64 (+.f64 f n) 2)) (+.f64 (pow.f64 f 3) (pow.f64 n 3)))
(pow.f64 (+.f64 n f) 2)
(pow.f64 (pow.f64 (+.f64 f n) 2) 1)
(pow.f64 (+.f64 n f) 2)
(pow.f64 (+.f64 f n) 2)
(pow.f64 (+.f64 n f) 2)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 3)
(pow.f64 (+.f64 n f) 2)
(pow.f64 (pow.f64 (pow.f64 (+.f64 f n) 2) 3) 1/3)
(pow.f64 (+.f64 n f) 2)
(neg.f64 (pow.f64 (+.f64 f n) 2))
(neg.f64 (pow.f64 (+.f64 n f) 2))
(sqrt.f64 (+.f64 (pow.f64 n 4) (pow.f64 f 4)))
(hypot.f64 (*.f64 n n) (*.f64 f f))
(log.f64 (exp.f64 (pow.f64 (+.f64 f n) 2)))
(pow.f64 (+.f64 n f) 2)
(log.f64 (/.f64 (pow.f64 (exp.f64 f) f) (pow.f64 (exp.f64 n) n)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 f n) 2))))
(pow.f64 (+.f64 n f) 2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 f n) 2) 3))
(pow.f64 (+.f64 n f) 2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 f n) 2)))
(pow.f64 (+.f64 n f) 2)
(exp.f64 (log.f64 (pow.f64 (+.f64 f n) 2)))
(pow.f64 (+.f64 n f) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 f n) 2)) 1))
(pow.f64 (+.f64 n f) 2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 f n) 2)))
(pow.f64 (+.f64 n f) 2)
(fma.f64 f f (neg.f64 (*.f64 n n)))
(-.f64 (*.f64 f f) (*.f64 n n))
(*.f64 (+.f64 n f) (-.f64 f n))
(fma.f64 n n (*.f64 f f))
(fma.f64 (+.f64 f n) (+.f64 f n) (fma.f64 f f (*.f64 f f)))
(fma.f64 f f (fma.f64 f f (pow.f64 (+.f64 n f) 2)))
(fma.f64 1 (*.f64 n n) (*.f64 f f))
(fma.f64 n n (*.f64 f f))
(fma.f64 1 (*.f64 f f) (neg.f64 (*.f64 n n)))
(-.f64 (*.f64 f f) (*.f64 n n))
(*.f64 (+.f64 n f) (-.f64 f n))
(fma.f64 1 (pow.f64 (+.f64 f n) 2) (fma.f64 f f (*.f64 f f)))
(fma.f64 f f (fma.f64 f f (pow.f64 (+.f64 n f) 2)))
(fma.f64 (cbrt.f64 (+.f64 (pow.f64 n 4) (pow.f64 f 4))) (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (fma.f64 f f (*.f64 f f)))
(fma.f64 (cbrt.f64 (+.f64 (pow.f64 n 4) (pow.f64 f 4))) (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (fma.f64 f f (*.f64 f f)))
(fma.f64 (cbrt.f64 (+.f64 (pow.f64 n 4) (pow.f64 f 4))) (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (*.f64 f (+.f64 f f)))
(fma.f64 (cbrt.f64 (pow.f64 n 4)) (pow.f64 (cbrt.f64 n) 2) (*.f64 f f))
(fma.f64 (cbrt.f64 (pow.f64 f 4)) (pow.f64 (cbrt.f64 f) 2) (neg.f64 (*.f64 n n)))
(fma.f64 (cbrt.f64 (pow.f64 f 4)) (pow.f64 (cbrt.f64 f) 2) (*.f64 n (neg.f64 n)))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 f) 2) (cbrt.f64 (pow.f64 f 4))) (*.f64 n n))
(+.f64 (/.f64 f (+.f64 f n)) (/.f64 n (+.f64 f n)))
(+.f64 (/.f64 f (+.f64 n f)) (/.f64 n (+.f64 n f)))
(+.f64 (/.f64 n (+.f64 f n)) (/.f64 f (+.f64 f n)))
(+.f64 (/.f64 f (+.f64 n f)) (/.f64 n (+.f64 n f)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 f (+.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 n (+.f64 f n))))
(+.f64 (/.f64 f (+.f64 n f)) (/.f64 n (+.f64 n f)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 n (+.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 f (+.f64 f n))))
(+.f64 (/.f64 f (+.f64 n f)) (/.f64 n (+.f64 n f)))
(+.f64 (*.f64 (/.f64 f (+.f64 f n)) 1) (*.f64 (/.f64 n (+.f64 f n)) 1))
(+.f64 (/.f64 f (+.f64 n f)) (/.f64 n (+.f64 n f)))
(+.f64 (*.f64 (/.f64 n (+.f64 f n)) 1) (*.f64 (/.f64 f (+.f64 f n)) 1))
(+.f64 (/.f64 f (+.f64 n f)) (/.f64 n (+.f64 n f)))
(+.f64 (*.f64 (/.f64 f (+.f64 f n)) (/.f64 (+.f64 f n) (+.f64 f n))) (*.f64 (/.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (+.f64 f n))))
(+.f64 (/.f64 f (+.f64 n f)) (/.f64 n (+.f64 n f)))
(+.f64 (*.f64 (/.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (+.f64 f n))) (*.f64 (/.f64 f (+.f64 f n)) (/.f64 (+.f64 f n) (+.f64 f n))))
(+.f64 (/.f64 f (+.f64 n f)) (/.f64 n (+.f64 n f)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (+.f64 f n)))) 1)
1
(/.f64 (pow.f64 (+.f64 f n) 2) (pow.f64 (+.f64 f n) 2))
1
(/.f64 (+.f64 f n) (+.f64 f n))
1
(/.f64 1 (/.f64 (+.f64 f n) (+.f64 f n)))
1
(/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (+.f64 f n)) 2))
1
(/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (+.f64 f n) 3))
1
(/.f64 (+.f64 (pow.f64 n 4) (pow.f64 f 4)) (+.f64 (pow.f64 n 4) (pow.f64 f 4)))
1
(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (*.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(/.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (+.f64 n f) (fma.f64 f f (*.f64 n (+.f64 n f)))))
(/.f64 (*.f64 (+.f64 f n) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (pow.f64 (+.f64 f n) 2) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(/.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (+.f64 n f) (fma.f64 f f (*.f64 n (+.f64 n f)))))
(/.f64 (*.f64 (/.f64 1 (+.f64 f n)) (pow.f64 (+.f64 f n) 2)) (+.f64 f n))
1
(/.f64 (*.f64 (/.f64 1 (+.f64 f n)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 f f (*.f64 n (+.f64 f n))))
(/.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (+.f64 n f) (fma.f64 f f (*.f64 n (+.f64 n f)))))
(/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (pow.f64 (+.f64 f n) 2)) (pow.f64 (+.f64 f n) 2))
1
(/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 f n)) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (pow.f64 (+.f64 f n) 2)))
(/.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (+.f64 n f) (fma.f64 f f (*.f64 n (+.f64 n f)))))
(/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 1 (+.f64 f n))) (fma.f64 f f (*.f64 n (+.f64 f n))))
(/.f64 (+.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (+.f64 n f) (fma.f64 f f (*.f64 n (+.f64 n f)))))
(/.f64 (*.f64 (pow.f64 (+.f64 f n) 2) (/.f64 (+.f64 f n) (+.f64 f n))) (pow.f64 (+.f64 f n) 2))
1
(/.f64 (/.f64 (pow.f64 (+.f64 f n) 2) (cbrt.f64 (+.f64 (pow.f64 n 4) (pow.f64 f 4)))) (pow.f64 (cbrt.f64 (+.f64 f n)) 2))
(/.f64 (pow.f64 (+.f64 n f) 2) (*.f64 (pow.f64 (cbrt.f64 (+.f64 n f)) 2) (cbrt.f64 (+.f64 (pow.f64 n 4) (pow.f64 f 4)))))
(/.f64 (/.f64 (pow.f64 (+.f64 n f) 2) (pow.f64 (cbrt.f64 (+.f64 n f)) 2)) (cbrt.f64 (+.f64 (pow.f64 n 4) (pow.f64 f 4))))
(/.f64 (/.f64 (pow.f64 (+.f64 f n) 2) -1) (pow.f64 (+.f64 f n) 2))
-1
(/.f64 (/.f64 (pow.f64 (+.f64 f n) 2) 1) (pow.f64 (+.f64 f n) 2))
1
(/.f64 (-.f64 (*.f64 (/.f64 f (+.f64 f n)) (/.f64 f (+.f64 f n))) (*.f64 (/.f64 n (+.f64 f n)) (/.f64 n (+.f64 f n)))) (-.f64 (/.f64 f (+.f64 f n)) (/.f64 n (+.f64 f n))))
(/.f64 (-.f64 (*.f64 (/.f64 f (+.f64 n f)) (/.f64 f (+.f64 n f))) (*.f64 (/.f64 n (+.f64 n f)) (/.f64 n (+.f64 n f)))) (-.f64 (/.f64 f (+.f64 n f)) (/.f64 n (+.f64 n f))))
(/.f64 (+.f64 (/.f64 f (+.f64 n f)) (/.f64 n (+.f64 n f))) (/.f64 (-.f64 (/.f64 f (+.f64 n f)) (/.f64 n (+.f64 n f))) (-.f64 (/.f64 f (+.f64 n f)) (/.f64 n (+.f64 n f)))))
(/.f64 (+.f64 (pow.f64 (/.f64 f (+.f64 f n)) 3) (pow.f64 (/.f64 n (+.f64 f n)) 3)) (-.f64 (+.f64 (*.f64 (/.f64 f (+.f64 f n)) (/.f64 f (+.f64 f n))) (*.f64 (/.f64 n (+.f64 f n)) (/.f64 n (+.f64 f n)))) (*.f64 (/.f64 f (+.f64 f n)) (/.f64 n (+.f64 f n)))))
(/.f64 (+.f64 (pow.f64 (/.f64 f (+.f64 n f)) 3) (pow.f64 (/.f64 n (+.f64 n f)) 3)) (-.f64 (fma.f64 (/.f64 f (+.f64 n f)) (/.f64 f (+.f64 n f)) (*.f64 (/.f64 n (+.f64 n f)) (/.f64 n (+.f64 n f)))) (*.f64 (/.f64 f (+.f64 n f)) (/.f64 n (+.f64 n f)))))
(/.f64 (+.f64 (pow.f64 (/.f64 f (+.f64 n f)) 3) (pow.f64 (/.f64 n (+.f64 n f)) 3)) (+.f64 (*.f64 (/.f64 f (+.f64 n f)) (/.f64 f (+.f64 n f))) (*.f64 (/.f64 n (+.f64 n f)) (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))))
(/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) 1) (+.f64 (pow.f64 f 3) (pow.f64 n 3)))
1
(pow.f64 (/.f64 (+.f64 f n) (+.f64 f n)) 1)
1
(pow.f64 (/.f64 (+.f64 f n) (+.f64 f n)) 3)
1
(pow.f64 (/.f64 (+.f64 f n) (+.f64 f n)) 2)
1
(pow.f64 (/.f64 (+.f64 f n) (+.f64 f n)) 1/2)
1
(pow.f64 (/.f64 (+.f64 f n) (+.f64 f n)) 1/3)
1
(sqrt.f64 (/.f64 (+.f64 f n) (+.f64 f n)))
1
(fabs.f64 (/.f64 (+.f64 f n) (+.f64 f n)))
1
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (+.f64 f n))))
1
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (+.f64 f n)))))
1
(cbrt.f64 (/.f64 (+.f64 f n) (+.f64 f n)))
1
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 f n)) 3) (pow.f64 (+.f64 f n) 3)))
1
(cbrt.f64 (*.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (/.f64 1 (+.f64 f n)) 3)))
1
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (+.f64 f n))))
1
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (+.f64 f n))))
1
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (+.f64 f n))) 1))
1
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (+.f64 f n))))
1
(fma.f64 f (/.f64 1 (+.f64 f n)) (/.f64 n (+.f64 f n)))
(+.f64 (/.f64 f (+.f64 n f)) (/.f64 n (+.f64 n f)))
(fma.f64 (/.f64 1 (+.f64 f n)) f (/.f64 n (+.f64 f n)))
(+.f64 (/.f64 f (+.f64 n f)) (/.f64 n (+.f64 n f)))

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.01%
(*.f64 2 (/.f64 f n))
Compiler

Compiled 21 to 11 computations (47.6% saved)

series3.0ms (0.1%)

Counts
1 → 0
Calls

6 calls:

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

rewrite52.0ms (1.1%)

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))))))))

simplify54.0ms (1.2%)

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))

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.01%
(/.f64 1 (-.f64 n f))
✓0.03%
(+.f64 (*.f64 (/.f64 1 (-.f64 n f)) n) (*.f64 (/.f64 1 (-.f64 n f)) f))
✓0.25%
(*.f64 (/.f64 1 (-.f64 n f)) n)
✓0.31%
(*.f64 (/.f64 1 (-.f64 n f)) f)
Compiler

Compiled 42 to 19 computations (54.8% saved)

series4.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
0.0ms
n
@0
(*.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
f
@-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)) n)

rewrite139.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
1288×associate-/r*
922×associate-/r/
904×associate-/l*
888×distribute-rgt-in
856×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01064
122458
2321758
Stop Event
1×node limit
Counts
4 → 347
Calls
Call 1
Inputs
(*.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 1 (-.f64 n f))
Outputs
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simplify232.0ms (5%)

Algorithm
1×egg-herbie
Rules
1492×associate-/l/
1116×associate-/l*
1034×associate-*r*
882×associate-*l*
862×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096220269
1291819381
Stop Event
1×node limit
Counts
443 → 640
Calls
Call 1
Inputs
-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)
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(*.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 n n) (*.f64 f 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 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 (*.f64 (pow.f64 n 3) (pow.f64 n 3)) (+.f64 (*.f64 (pow.f64 f 3) (pow.f64 f 3)) (*.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(*.f64 (/.f64 1 (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 (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) (sqrt.f64 (-.f64 (*.f64 n n) (*.f64 f f)))) (sqrt.f64 (+.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 (pow.f64 n 3) (pow.f64 f 3)))) (cbrt.f64 (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)))
(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 (cbrt.f64 (/.f64 1 (-.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))))
(exp.f64 (*.f64 (log.f64 (-.f64 n f)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 n f))))
Outputs
-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 -1 (fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (/.f64 (neg.f64 n) f)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))) -1)
(+.f64 -1 (fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (fma.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (neg.f64 n) f))))
(/.f64 f n)
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 f n))
(+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n)))
(+.f64 (/.f64 f n) (/.f64 f (/.f64 (*.f64 n n) f)))
(+.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 f (/.f64 (*.f64 n n) f)) (/.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 (/.f64 (*.f64 n n) f)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 4) (pow.f64 n 4)))) (/.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 f n) (/.f64 (*.f64 f f) (*.f64 n n)))
(+.f64 (/.f64 f n) (/.f64 f (/.f64 (*.f64 n n) f)))
(+.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 f (/.f64 (*.f64 n n) f)) (/.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 (/.f64 (*.f64 n n) f)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 4) (pow.f64 n 4)))) (/.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 f n) (/.f64 (*.f64 f f) (*.f64 n n)))
(+.f64 (/.f64 f n) (/.f64 f (/.f64 (*.f64 n n) f)))
(+.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 f (/.f64 (*.f64 n n) f)) (/.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 (/.f64 (*.f64 n n) f)) (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 4) (pow.f64 n 4)))) (/.f64 (pow.f64 f 3) (pow.f64 n 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 -1 (fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (/.f64 (neg.f64 n) f)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))) -1)
(+.f64 -1 (fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (fma.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (neg.f64 n) f))))
-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 -1 (fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (/.f64 (neg.f64 n) f)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f)))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))) -1)
(+.f64 -1 (fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (fma.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (neg.f64 n) f))))
(*.f64 -1 (/.f64 n f))
(/.f64 (neg.f64 n) f)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))
(fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (/.f64 (neg.f64 n) f))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f))))
(fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (fma.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (neg.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)))))
(fma.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))))
(fma.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (fma.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (neg.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 (*.f64 f f) (*.f64 n n)) (+.f64 1 (/.f64 f n)))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 f (/.f64 (*.f64 n n) f))))
(+.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 f (/.f64 (*.f64 n n) f)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 1 (/.f64 f n))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (+.f64 1 (/.f64 f n)))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 f (/.f64 (*.f64 n n) f))))
(+.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 f (/.f64 (*.f64 n n) f)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 1 (/.f64 f n))))
1
(+.f64 1 (/.f64 f n))
(+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (+.f64 1 (/.f64 f n)))
(+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (+.f64 1 (/.f64 f n)))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 f (/.f64 (*.f64 n n) f))))
(+.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 f (/.f64 (*.f64 n n) f)) (+.f64 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 1 (/.f64 f n))))
(*.f64 -1 (/.f64 n f))
(/.f64 (neg.f64 n) f)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))
(fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (/.f64 (neg.f64 n) f))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f))))
(fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (fma.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (neg.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)))))
(fma.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))))
(fma.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (fma.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (neg.f64 n) f))))
(*.f64 -1 (/.f64 n f))
(/.f64 (neg.f64 n) f)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -1 (/.f64 n f)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))
(fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (/.f64 (neg.f64 n) f))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 -1 (/.f64 n f))))
(fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f))))
(fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (fma.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (neg.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)))))
(fma.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.f64 -1 (/.f64 (*.f64 n n) (*.f64 f f)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 n f)))))
(fma.f64 -1 (/.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.f64 -1 (/.f64 n (/.f64 (*.f64 f f) n)) (fma.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (/.f64 (neg.f64 n) f))))
-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 (+.f64 1 (+.f64 (/.f64 f n) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))))) (/.f64 (neg.f64 f) n))
(+.f64 (/.f64 f n) (+.f64 (+.f64 1 (/.f64 f n)) (*.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)))))) (/.f64 (neg.f64 f) n))
(+.f64 (/.f64 f n) (fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (+.f64 1 (/.f64 f n)) (*.f64 2 (/.f64 f (/.f64 (*.f64 n n) f))))))
1
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(fma.f64 f (/.f64 1 (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(fma.f64 (/.f64 1 (-.f64 n f)) n (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.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 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 (+.f64 n 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)))
(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)))
(+.f64 (/.f64 f (-.f64 n f)) (pow.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) 2))
(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 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 (+.f64 n f) (-.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)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))) n) (*.f64 (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))) f))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 (+.f64 n f) (-.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))) f) (*.f64 (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))) n))
(*.f64 (+.f64 n f) (/.f64 1 (-.f64 (*.f64 n n) (*.f64 f f))))
(/.f64 (+.f64 n f) (-.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n n)) (*.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.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 (*.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 f (+.f64 n f))) (*.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.f64 n n)))
(*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (/.f64 1 (-.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 (*.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 (+.f64 n f) (-.f64 (*.f64 n n) (*.f64 f 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 (+.f64 n f) (-.f64 (*.f64 n n) (*.f64 f 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 (*.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 (*.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 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 n f)))) 1)
(/.f64 1 (-.f64 n f))
(*.f64 1 (/.f64 1 (-.f64 n f)))
(/.f64 1 (-.f64 n f))
(*.f64 (/.f64 1 (-.f64 n f)) 1)
(/.f64 1 (-.f64 n f))
(*.f64 (pow.f64 (-.f64 n f) -1/2) (pow.f64 (-.f64 n f) -1/2))
(/.f64 1 (-.f64 n f))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 n f))) (cbrt.f64 (pow.f64 (-.f64 n f) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (cbrt.f64 (/.f64 1 (-.f64 n f))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (cbrt.f64 (/.f64 1 (-.f64 n f))))
(*.f64 -1 (/.f64 -1 (-.f64 n f)))
(/.f64 1 (-.f64 n f))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 1 (-.f64 n f))))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 n f))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(*.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 (+.f64 n f) (-.f64 (*.f64 n n) (*.f64 f 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 (/.f64 -1 (-.f64 n f)) -1)
(/.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 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 1 (cbrt.f64 (-.f64 n f))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) 1) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(*.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 (+.f64 n f) (/.f64 (-.f64 (pow.f64 n 4) (pow.f64 f 4)) (fma.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 n n) (*.f64 f f)))))
(*.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))) (+.f64 (pow.f64 n 4) (*.f64 f (*.f64 f (fma.f64 f f (*.f64 n n))))))
(*.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 n 3) (pow.f64 f 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 (fma.f64 n n (*.f64 f (+.f64 n f))) (/.f64 (-.f64 (pow.f64 n 6) (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 (*.f64 (pow.f64 n 3) (pow.f64 n 3)) (+.f64 (*.f64 (pow.f64 f 3) (pow.f64 f 3)) (*.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(*.f64 (/.f64 (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 3) (+.f64 (pow.f64 n 3) (pow.f64 f 3)))))
(*.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 (+.f64 n f) (-.f64 (*.f64 n n) (*.f64 f 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 (/.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 (+.f64 n f) (-.f64 (*.f64 n n) (*.f64 f 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 (/.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) (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 (*.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 (+.f64 n f))) (sqrt.f64 (-.f64 (*.f64 n n) (*.f64 f 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 (+.f64 n f) (-.f64 (*.f64 n n) (*.f64 f 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 (/.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 1 (*.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 (/.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 (*.f64 1 (cbrt.f64 (+.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 (*.f64 n n) (*.f64 f f))))
(pow.f64 (-.f64 n f) -1)
(/.f64 1 (-.f64 n f))
(pow.f64 (/.f64 1 (-.f64 n f)) 1)
(/.f64 1 (-.f64 n f))
(pow.f64 (pow.f64 (-.f64 n f) -1/2) 2)
(/.f64 1 (-.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 n f))) 3)
(/.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 1 (-.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 n 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 1 (-.f64 n f))
(exp.f64 (neg.f64 (log.f64 (-.f64 n f))))
(/.f64 1 (-.f64 n f))
(exp.f64 (*.f64 (log.f64 (-.f64 n f)) -1))
(/.f64 1 (-.f64 n f))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 n f))) 1))
(/.f64 1 (-.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 n f))))
(/.f64 1 (-.f64 n f))

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.01%
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓0.01%
(*.f64 -2 (/.f64 n f))
Compiler

Compiled 21 to 11 computations (47.6% saved)

series4.0ms (0.1%)

Counts
2 → 6
Calls

12 calls:

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

rewrite65.0ms (1.4%)

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)))))

simplify66.0ms (1.4%)

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)

eval657.0ms (14%)

Compiler

Compiled 40996 to 14965 computations (63.5% saved)

prune472.0ms (10.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New159811599
Fresh022
Picked011
Done224
Total160061606
Error
0%
Counts
1606 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.04%
(/.f64 (+.f64 f n) (-.f64 n f))
▶0.02%
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
✓49.17%
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓48.97%
(+.f64 (*.f64 2 (/.f64 f n)) 1)
49.66%
1
49.95%
-1
Compiler

Compiled 44 to 32 computations (27.3% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.02%
(/.f64 (-.f64 n f) (+.f64 n f))
✓0.02%
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite109.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1736×associate-/l*
1432×associate-/r/
1054×*-commutative
764×distribute-lft-in
680×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 1 (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (-.f64 n f) (+.f64 n f))
Outputs
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#<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 log1p.f64 (expm1.f64 (/.f64 (-.f64 n f) (+.f64 n f))))))))

simplify84.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
820×*-commutative
790×associate-*r*
782×associate-/l*
692×times-frac
676×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05838215
119447915
Stop Event
1×node limit
Counts
229 → 296
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)
-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)
(+.f64 (*.f64 n (/.f64 1 (-.f64 n f))) (*.f64 f (/.f64 1 (-.f64 n f))))
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(+.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 f f) (*.f64 n n))) (*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (*.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 (exp.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1)
(*.f64 1 (/.f64 (+.f64 n f) (-.f64 n f)))
(*.f64 (+.f64 n f) (/.f64 1 (-.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 (+.f64 n f) (sqrt.f64 (-.f64 n f))) (/.f64 1 (sqrt.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) (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 (+.f64 n f) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (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 (+.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))
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(*.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))))))
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(*.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 n n) (-.f64 (*.f64 (neg.f64 f) (neg.f64 f)) (*.f64 n (neg.f64 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 (-.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 (+.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)))))
(*.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)))
(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))))
(+.f64 (/.f64 (-.f64 n f) (+.f64 n f)) (*.f64 (/.f64 1 (+.f64 n f)) (fma.f64 (neg.f64 f) 1 f)))
(+.f64 (/.f64 (-.f64 n f) (+.f64 n f)) (*.f64 (/.f64 1 (+.f64 n f)) (fma.f64 (neg.f64 (sqrt.f64 f)) (sqrt.f64 f) f)))
(+.f64 (/.f64 (-.f64 n f) (+.f64 n f)) (*.f64 (/.f64 1 (+.f64 n f)) (fma.f64 (neg.f64 (cbrt.f64 f)) (pow.f64 (cbrt.f64 f) 2) f)))
(+.f64 (/.f64 n (+.f64 n f)) (neg.f64 (/.f64 f (+.f64 n f))))
(+.f64 (/.f64 n (+.f64 n f)) (*.f64 1 (neg.f64 (/.f64 f (+.f64 n f)))))
(+.f64 (/.f64 n (+.f64 n f)) (*.f64 (/.f64 1 (+.f64 n f)) (neg.f64 f)))
(+.f64 (neg.f64 (/.f64 f (+.f64 n f))) (/.f64 n (+.f64 n f)))
(+.f64 (*.f64 (/.f64 1 (+.f64 n f)) (neg.f64 f)) (/.f64 n (+.f64 n 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 f n))))
(+.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 1 (/.f64 (-.f64 n f) (+.f64 n f)))
(*.f64 1 (neg.f64 (/.f64 (neg.f64 (-.f64 n f)) (+.f64 n f))))
(*.f64 (-.f64 n f) (/.f64 1 (+.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 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) (/.f64 (cbrt.f64 (-.f64 n f)) (+.f64 n f)))
(*.f64 (/.f64 1 (+.f64 n f)) (-.f64 n f))
(*.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 (/.f64 (neg.f64 (-.f64 n f)) (+.f64 n f)))
(*.f64 (neg.f64 (-.f64 n f)) (/.f64 1 (-.f64 (neg.f64 f) n)))
(*.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) (/.f64 1 (sqrt.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 (-.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 (-.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 (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 1 (/.f64 (+.f64 n f) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))) (cbrt.f64 (-.f64 n f)))
(*.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 (-.f64 n f) (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (sqrt.f64 (-.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) (-.f64 (*.f64 f f) (*.f64 n n))) (-.f64 f n))
(*.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 (/.f64 (neg.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 (/.f64 (neg.f64 (-.f64 n f)) (+.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 f n))) (fma.f64 n n (*.f64 f (-.f64 f n)))))
(*.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 (-.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 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 (/.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 n n) (*.f64 n n)) (-.f64 (*.f64 (*.f64 f (+.f64 n f)) (*.f64 f (+.f64 n f))) (*.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))))
(*.f64 (/.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))))
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 (/.f64 n f) (/.f64 n f)))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -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 (/.f64 n f) (/.f64 n f))) (/.f64 (pow.f64 n 3) (pow.f64 f 3)))))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (/.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 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 f n)) (/.f64 (-.f64 f (neg.f64 f)) (/.f64 (*.f64 n n) f))) (neg.f64 (/.f64 f n)))
(+.f64 1 (+.f64 (*.f64 (/.f64 f (*.f64 n n)) (+.f64 f f)) (+.f64 (/.f64 f n) (/.f64 f n))))
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(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))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 n f) (+.f64 n f))))
(/.f64 (-.f64 n f) (+.f64 n f))

eval84.0ms (1.8%)

Compiler

Compiled 6287 to 2334 computations (62.9% saved)

prune57.0ms (1.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New2960296
Fresh022
Picked011
Done033
Total2966302
Error
0%
Counts
302 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.04%
(/.f64 (+.f64 f n) (-.f64 n f))
✓0.02%
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
✓49.17%
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓48.97%
(+.f64 (*.f64 2 (/.f64 f n)) 1)
49.66%
1
49.95%
-1
Compiler

Compiled 44 to 32 computations (27.3% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done044
Total066
Error
0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.04%
(/.f64 (+.f64 f n) (-.f64 n f))
✓0.02%
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
✓49.17%
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓48.97%
(+.f64 (*.f64 2 (/.f64 f n)) 1)
49.66%
1
49.95%
-1
Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes27.0ms (0.6%)

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

3 calls:

14.0ms
f
6.0ms
n
5.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
ErrorSegmentsBranch
0.02%1f
0.02%1n
0.02%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 90 to 49 computations (45.6% saved)

regimes13.0ms (0.3%)

Counts
6 → 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))
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
Calls

3 calls:

5.0ms
f
5.0ms
n
2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
ErrorSegmentsBranch
0.04%1f
0.04%1n
0.04%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 49 to 30 computations (38.8% saved)

regimes29.0ms (0.6%)

Counts
4 → 3
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 n f)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
Calls

2 calls:

15.0ms
f
12.0ms
n
Results
ErrorSegmentsBranch
20.28%3f
21.3%3n
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch19.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
3.0ms
7.059097515509341e-53
7.957751748244259e-53
15.0ms
-8.578534385658554e-13
-4.807839473004868e-17
Results
16.0ms160×body256valid
Compiler

Compiled 215 to 170 computations (20.9% saved)

regimes25.0ms (0.5%)

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

2 calls:

15.0ms
f
9.0ms
n
Results
ErrorSegmentsBranch
20.68%3f
21.78%3n
Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch18.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
3.0ms
7.059097515509341e-53
7.957751748244259e-53
15.0ms
-8.578534385658554e-13
-4.807839473004868e-17
Results
16.0ms160×body256valid
Compiler

Compiled 155 to 130 computations (16.1% saved)

regimes22.0ms (0.5%)

Accuracy

Total -49.5b remaining (-366.6%)

Threshold costs -49.5b (-366.6%)

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

2 calls:

11.0ms
f
10.0ms
n
Results
ErrorSegmentsBranch
21.1%3f
22.19%3n
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch18.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
3.0ms
7.059097515509341e-53
7.957751748244259e-53
14.0ms
-8.578534385658554e-13
-4.807839473004868e-17
Results
14.0ms160×body256valid
Compiler

Compiled 95 to 90 computations (5.3% saved)

simplify8.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
10×+-commutative
6×sub-neg
6×if-if-or-not
6×*-commutative
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039168
160168
264168
366168
467168
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f -1784852045121347/20282409603651670423947251286016) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 1051437920018875/13479973333575319897333507543509815336818572211270286240551805124608) (+.f64 (*.f64 2 (/.f64 f n)) 1) (-.f64 (*.f64 -2 (/.f64 n f)) 1)))
(if (<=.f64 f -713053462628379/79228162514264337593543950336) -1 (if (<=.f64 f 970558080017423/13479973333575319897333507543509815336818572211270286240551805124608) (+.f64 (*.f64 2 (/.f64 f n)) 1) -1))
(if (<=.f64 f -237684487542793/158456325028528675187087900672) -1 (if (<=.f64 f 1051437920018875/13479973333575319897333507543509815336818572211270286240551805124608) 1 -1))
-1
Outputs
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 f -1784852045121347/20282409603651670423947251286016) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 1051437920018875/13479973333575319897333507543509815336818572211270286240551805124608) (+.f64 (*.f64 2 (/.f64 f n)) 1) (-.f64 (*.f64 -2 (/.f64 n f)) 1)))
(if (or (<=.f64 f -1784852045121347/20282409603651670423947251286016) (not (<=.f64 f 1051437920018875/13479973333575319897333507543509815336818572211270286240551805124608))) (+.f64 (*.f64 -2 (/.f64 n f)) -1) (+.f64 1 (*.f64 2 (/.f64 f n))))
(if (<=.f64 f -713053462628379/79228162514264337593543950336) -1 (if (<=.f64 f 970558080017423/13479973333575319897333507543509815336818572211270286240551805124608) (+.f64 (*.f64 2 (/.f64 f n)) 1) -1))
(if (<=.f64 f -713053462628379/79228162514264337593543950336) -1 (if (<=.f64 f 970558080017423/13479973333575319897333507543509815336818572211270286240551805124608) (+.f64 1 (*.f64 2 (/.f64 f n))) -1))
(if (<=.f64 f -237684487542793/158456325028528675187087900672) -1 (if (<=.f64 f 1051437920018875/13479973333575319897333507543509815336818572211270286240551805124608) 1 -1))
-1
Compiler

Compiled 80 to 60 computations (25% saved)

soundness348.0ms (7.4%)

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

Useful iterations: 6 (0.0ms)

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

Compiled 126 to 46 computations (63.5% saved)

end177.0ms (3.8%)

Compiler

Compiled 70 to 47 computations (32.9% saved)

Profiling

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