Details

Time bar (total: 1.7s)

analyze146.0ms (8.8%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
18.7%81.2%0.1%6
46.8%53.1%0.1%7
56.2%43.7%0.1%8
71%28.9%0.1%9
76.5%23.4%0.1%10
84.9%15%0.1%11
87.8%12.1%0.1%12
92.2%7.7%0.1%13
93.8%6.1%0.1%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample795.0ms (47.5%)

Results
775.0ms8256×body128valid

preprocess62.0ms (3.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
12924
25524
311624
427124
556820
6138420
7308020
8411020
9441720
10455820
11459620
12460620
13460620
022
Stop Event
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 10 to 6 computations (40% saved)

simplify51.0ms (3.1%)

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

Useful iterations: 6 (0.0ms)

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

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Compiled 35 to 18 computations (48.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

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

rewrite181.0ms (10.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
114410
2230710
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 f n) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 f n)) (*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 f n)) (/.f64 1 (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 f n)) 1) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (-.f64 (*.f64 n n) (*.f64 f f))) (+.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 n n (*.f64 f (+.f64 f n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))))))

simplify41.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
665×times-frac_binary64
521×fma-def_binary64
352×associate-/l*_binary64
310×associate-/r*_binary64
149×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079504
1264441
2940327
34891327
Stop Event
1×node limit
Counts
59 → 58
Calls
Call 1
Inputs
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)))) 1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (/.f64 f n)))) (*.f64 -1 (/.f64 f n)))
Outputs
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(fma.f64 2 (/.f64 f n) 1)
(+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (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 (pow.f64 (/.f64 f n) 3) 1) (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2)))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (*.f64 (/.f64 n f) (*.f64 (/.f64 n f) -2)) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
(+.f64 (/.f64 (*.f64 n n) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n))) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (*.f64 (/.f64 n f) (*.f64 (/.f64 n f) -2)) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)))) 1)
(+.f64 (/.f64 (*.f64 n n) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n))) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) -1) (/.f64 n f))
(fma.f64 (/.f64 n f) -2 -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f))) 1)
(+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f))))
(-.f64 (-.f64 (*.f64 (/.f64 n f) (*.f64 (/.f64 n f) -2)) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
(+.f64 (/.f64 (*.f64 n n) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n))) (+.f64 (/.f64 n (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) n))) (-.f64 (/.f64 (neg.f64 n) f) (+.f64 1 (/.f64 n f)))))
(-.f64 (-.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 3) (pow.f64 f 3)) (*.f64 (/.f64 n f) (/.f64 n f)))) (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))) -1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 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 2 (/.f64 (*.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (fma.f64 2 (pow.f64 (/.f64 f n) 3) 1) (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 (-.f64 f (*.f64 -1 f)) f) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 (fma.f64 2 (/.f64 f n) 1) (*.f64 2 (/.f64 (*.f64 f f) (*.f64 n n))))
(fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1))
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 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 2 (/.f64 (*.f64 f f) (*.f64 n n)))))
(fma.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3)) (fma.f64 2 (/.f64 f n) (fma.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)) 1)))
(+.f64 (fma.f64 2 (pow.f64 (/.f64 f n) 3) 1) (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2)))

prune45.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New56258
Fresh000
Picked011
Done000
Total56359
Error
0b
Counts
59 → 3
Alt Table
StatusErrorProgram
33.0b
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
▶30.9b
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2)))
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 923 to 435 computations (52.9% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2))

series6.0ms (0.3%)

Counts
1 → 24
Calls

6 calls:

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

rewrite58.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
492×log-prod_binary64
474×prod-diff_binary64
202×fma-def_binary64
169×expm1-udef_binary64
169×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
118614
2268114
Stop Event
1×node limit
Counts
1 → 87
Calls
Call 1
Inputs
(*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 f n) 2) (*.f64 2 (pow.f64 (/.f64 f n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (pow.f64 (/.f64 f n) 2)) (*.f64 (/.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 f n) (fma.f64 (/.f64 f n) 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 (pow.f64 (/.f64 f n) 2)) 1) (*.f64 (/.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 f n) 2 2)) (/.f64 f n))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 f n) 2 2)) (/.f64 f n))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 f n) 2 2)) (/.f64 f n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 f n) 2 2)) (/.f64 f n)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 f n) 2 2)) (/.f64 f n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 f n) 2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 f (/.f64 n (fma.f64 (/.f64 f n) 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 f n) 2 2) (/.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 n (*.f64 f (fma.f64 (/.f64 f n) 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8 (pow.f64 (/.f64 f n) 3) 8) (*.f64 (/.f64 n f) (-.f64 (fma.f64 4 (pow.f64 (/.f64 f n) 2) 4) (*.f64 (/.f64 f n) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 4 (pow.f64 (/.f64 f n) 2) -4) (*.f64 (/.f64 n f) (fma.f64 (/.f64 f n) 2 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 f (fma.f64 (/.f64 f n) 2 2)) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 f (fma.f64 (/.f64 f n) 2 2))) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 f (fma.f64 8 (pow.f64 (/.f64 f n) 3) 8)) (*.f64 n (-.f64 (fma.f64 4 (pow.f64 (/.f64 f n) 2) 4) (*.f64 (/.f64 f n) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 f) (fma.f64 8 (pow.f64 (/.f64 f n) 3) 8)) (*.f64 (neg.f64 n) (-.f64 (fma.f64 4 (pow.f64 (/.f64 f n) 2) 4) (*.f64 (/.f64 f n) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 f (fma.f64 4 (pow.f64 (/.f64 f n) 2) -4)) (*.f64 n (fma.f64 (/.f64 f n) 2 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 f) (fma.f64 4 (pow.f64 (/.f64 f n) 2) -4)) (*.f64 (neg.f64 n) (fma.f64 (/.f64 f n) 2 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 8 (pow.f64 (/.f64 f n) 3) 8) f) (*.f64 (-.f64 (fma.f64 4 (pow.f64 (/.f64 f n) 2) 4) (*.f64 (/.f64 f n) 4)) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 4 (pow.f64 (/.f64 f n) 2) -4) f) (*.f64 (fma.f64 (/.f64 f n) 2 -2) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 8 (pow.f64 (/.f64 f n) 3) 8) 1) (*.f64 (-.f64 (fma.f64 4 (pow.f64 (/.f64 f n) 2) 4) (*.f64 (/.f64 f n) 4)) (/.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 4 (pow.f64 (/.f64 f n) 2) -4) 1) (*.f64 (fma.f64 (/.f64 f n) 2 -2) (/.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 8 (pow.f64 (/.f64 f n) 3) 8) (neg.f64 f)) (*.f64 (-.f64 (fma.f64 4 (pow.f64 (/.f64 f n) 2) 4) (*.f64 (/.f64 f n) 4)) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 4 (pow.f64 (/.f64 f n) 2) -4) (neg.f64 f)) (*.f64 (fma.f64 (/.f64 f n) 2 -2) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 f n) 2)) 3) (*.f64 8 (pow.f64 (/.f64 f n) 3))) (fma.f64 (*.f64 2 (pow.f64 (/.f64 f n) 2)) (*.f64 2 (pow.f64 (/.f64 f n) 2)) (-.f64 (*.f64 4 (pow.f64 (/.f64 f n) 2)) (*.f64 (*.f64 2 (pow.f64 (/.f64 f n) 2)) (*.f64 (/.f64 f n) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 f (fma.f64 (/.f64 f n) 2 2)) 1) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 f (fma.f64 (/.f64 f n) 2 2)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 f (fma.f64 (/.f64 f n) 2 2)) (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 f) (fma.f64 (/.f64 f n) 2 2)) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 8 (pow.f64 (/.f64 f n) 3) 8) (/.f64 f n)) (-.f64 (fma.f64 4 (pow.f64 (/.f64 f n) 2) 4) (*.f64 (/.f64 f n) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 4 (pow.f64 (/.f64 f n) 2) -4) (/.f64 f n)) (fma.f64 (/.f64 f n) 2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 f n) (fma.f64 8 (pow.f64 (/.f64 f n) 3) 8)) (-.f64 (fma.f64 4 (pow.f64 (/.f64 f n) 2) 4) (*.f64 (/.f64 f n) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 f n) (fma.f64 4 (pow.f64 (/.f64 f n) 2) -4)) (fma.f64 (/.f64 f n) 2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (/.f64 f n) 2 2) (neg.f64 f)) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 2 (pow.f64 (/.f64 f n) 2)) (*.f64 2 (pow.f64 (/.f64 f n) 2))) (*.f64 4 (pow.f64 (/.f64 f n) 2))) (fma.f64 2 (pow.f64 (/.f64 f n) 2) (neg.f64 (*.f64 (/.f64 f n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 f n) 2 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 f n) 2 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 f n) 2 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 f n) 2 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 f n) 2 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 f n) 2 2)) (/.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 f n) 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 2) (/.f64 f n)) (exp.f64 (*.f64 2 (pow.f64 (/.f64 f n) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 f n) 2))) (exp.f64 (*.f64 2 (pow.f64 (/.f64 f n) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 2 (pow.f64 (/.f64 f n) 2))) (+.f64 1 (expm1.f64 (*.f64 (/.f64 f n) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 f n) 2 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 f n) 3) (pow.f64 (fma.f64 (/.f64 f n) 2 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 f n) 2 2) 3) (pow.f64 (/.f64 f n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 f n) 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 f (*.f64 (/.f64 1 n) 2) (*.f64 2 (pow.f64 (/.f64 f n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 f (*.f64 (/.f64 1 n) (*.f64 (/.f64 f n) 2)) (*.f64 (/.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 f n) 2 (*.f64 2 (pow.f64 (/.f64 f n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 f n) (*.f64 (/.f64 f n) 2) (*.f64 (/.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 f n) (*.f64 2 (pow.f64 (/.f64 f n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (pow.f64 (/.f64 f n) 2) (*.f64 (/.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 f n) 2) (/.f64 f n) (*.f64 (/.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 f n) 2) 1 (*.f64 2 (pow.f64 (/.f64 f n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 f n) 2) (*.f64 2 (pow.f64 (/.f64 f n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (pow.f64 (/.f64 f n) 2)) (*.f64 (/.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 f n) 2) 2 (*.f64 (/.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (/.f64 f n) 2)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 f n) 2)) 2) (*.f64 2 (pow.f64 (/.f64 f n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 f n) 2)) 2) (cbrt.f64 (*.f64 (/.f64 f n) 2)) (*.f64 2 (pow.f64 (/.f64 f n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 f n) 2)) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 f n) 2)) (/.f64 f n)) (*.f64 (/.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 f n)) 2) (*.f64 (cbrt.f64 (/.f64 f n)) 2) (*.f64 2 (pow.f64 (/.f64 f n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 f n)) 2) (*.f64 (cbrt.f64 (/.f64 f n)) (*.f64 (/.f64 f n) 2)) (*.f64 (/.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 f n) 2)) (sqrt.f64 (*.f64 (/.f64 f n) 2)) (*.f64 2 (pow.f64 (/.f64 f n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 f n) 2)) (*.f64 (sqrt.f64 (*.f64 (/.f64 f n) 2)) (/.f64 f n)) (*.f64 (/.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 f n)) (*.f64 (sqrt.f64 (/.f64 f n)) 2) (*.f64 2 (pow.f64 (/.f64 f n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 f n)) (*.f64 (sqrt.f64 (/.f64 f n)) (*.f64 (/.f64 f n) 2)) (*.f64 (/.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (/.f64 f n) 2)) 1 (*.f64 (/.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 f 2) (/.f64 1 n) (*.f64 2 (pow.f64 (/.f64 f n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 2 (pow.f64 (/.f64 f n) 2))) (cbrt.f64 (*.f64 2 (pow.f64 (/.f64 f n) 2)))) (cbrt.f64 (*.f64 2 (pow.f64 (/.f64 f n) 2))) (*.f64 (/.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 f n) 2))) (sqrt.f64 (*.f64 2 (pow.f64 (/.f64 f n) 2))) (*.f64 (/.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (pow.f64 (cbrt.f64 n) 2)) (/.f64 f (cbrt.f64 n)) (*.f64 2 (pow.f64 (/.f64 f n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (sqrt.f64 n)) (/.f64 f (sqrt.f64 n)) (*.f64 2 (pow.f64 (/.f64 f n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 f n) 2)) (sqrt.f64 (/.f64 f n))) (*.f64 (sqrt.f64 (*.f64 (/.f64 f n) 2)) (sqrt.f64 (/.f64 f n))) (*.f64 (/.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 f n)) (sqrt.f64 (*.f64 (/.f64 f n) 2))) (*.f64 (sqrt.f64 (/.f64 f n)) (sqrt.f64 (*.f64 (/.f64 f n) 2))) (*.f64 (/.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 f n) 2) f) (/.f64 1 n) (*.f64 (/.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 f n) 2) (pow.f64 (cbrt.f64 (/.f64 f n)) 2)) (cbrt.f64 (/.f64 f n)) (*.f64 (/.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 f n) 2) (sqrt.f64 (/.f64 f n))) (sqrt.f64 (/.f64 f n)) (*.f64 (/.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 (/.f64 f n)) 2)) (cbrt.f64 (/.f64 f n)) (*.f64 2 (pow.f64 (/.f64 f n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (/.f64 f n))) (sqrt.f64 (/.f64 f n)) (*.f64 2 (pow.f64 (/.f64 f n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 f n) (pow.f64 (cbrt.f64 (*.f64 (/.f64 f n) 2)) 2)) (cbrt.f64 (*.f64 (/.f64 f n) 2)) (*.f64 (/.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 f n) (sqrt.f64 (*.f64 (/.f64 f n) 2))) (sqrt.f64 (*.f64 (/.f64 f n) 2)) (*.f64 (/.f64 f n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 f n) 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 f n) 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 f n) (fma.f64 (/.f64 f n) 2 2))) 1))))))

simplify23.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
693×associate-/l*_binary64
435×associate-/r*_binary64
377×associate-*l/_binary64
373×associate-/l/_binary64
345×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
011402
129402
262348
3156348
4785312
Stop Event
1×node limit
Counts
111 → 92
Calls
Call 1
Inputs
(*.f64 2 (/.f64 f n))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (/.f64 f n))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (/.f64 f n))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
Outputs
(*.f64 2 (/.f64 f n))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 2 (+.f64 (/.f64 f n) (*.f64 (/.f64 f n) (/.f64 f n))))
(*.f64 2 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))
(*.f64 (/.f64 2 n) (fma.f64 f (/.f64 f n) f))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 2 (+.f64 (/.f64 f n) (*.f64 (/.f64 f n) (/.f64 f n))))
(*.f64 2 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))
(*.f64 (/.f64 2 n) (fma.f64 f (/.f64 f n) f))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 2 (+.f64 (/.f64 f n) (*.f64 (/.f64 f n) (/.f64 f n))))
(*.f64 2 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))
(*.f64 (/.f64 2 n) (fma.f64 f (/.f64 f n) f))
(*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(/.f64 (*.f64 2 (*.f64 f f)) (*.f64 n n))
(*.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 2 (+.f64 (/.f64 f n) (*.f64 (/.f64 f n) (/.f64 f n))))
(*.f64 2 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))
(*.f64 (/.f64 2 n) (fma.f64 f (/.f64 f n) f))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 2 (+.f64 (/.f64 f n) (*.f64 (/.f64 f n) (/.f64 f n))))
(*.f64 2 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))
(*.f64 (/.f64 2 n) (fma.f64 f (/.f64 f n) f))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 2 (+.f64 (/.f64 f n) (*.f64 (/.f64 f n) (/.f64 f n))))
(*.f64 2 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))
(*.f64 (/.f64 2 n) (fma.f64 f (/.f64 f n) f))
(*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(/.f64 (*.f64 2 (*.f64 f f)) (*.f64 n n))
(*.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 2 (+.f64 (/.f64 f n) (*.f64 (/.f64 f n) (/.f64 f n))))
(*.f64 2 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))
(*.f64 (/.f64 2 n) (fma.f64 f (/.f64 f n) f))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 2 (+.f64 (/.f64 f n) (*.f64 (/.f64 f n) (/.f64 f n))))
(*.f64 2 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))
(*.f64 (/.f64 2 n) (fma.f64 f (/.f64 f n) f))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 2 (+.f64 (/.f64 f n) (*.f64 (/.f64 f n) (/.f64 f n))))
(*.f64 2 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))
(*.f64 (/.f64 2 n) (fma.f64 f (/.f64 f n) f))
(*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))
(/.f64 (*.f64 2 (*.f64 f f)) (*.f64 n n))
(*.f64 2 (*.f64 (/.f64 f n) (/.f64 f n)))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 2 (+.f64 (/.f64 f n) (*.f64 (/.f64 f n) (/.f64 f n))))
(*.f64 2 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))
(*.f64 (/.f64 2 n) (fma.f64 f (/.f64 f n) f))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 2 (+.f64 (/.f64 f n) (*.f64 (/.f64 f n) (/.f64 f n))))
(*.f64 2 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))
(*.f64 (/.f64 2 n) (fma.f64 f (/.f64 f n) f))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 2 (+.f64 (/.f64 f n) (*.f64 (/.f64 f n) (/.f64 f n))))
(*.f64 2 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))
(*.f64 (/.f64 2 n) (fma.f64 f (/.f64 f n) f))
(*.f64 2 (/.f64 f n))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 2 (+.f64 (/.f64 f n) (*.f64 (/.f64 f n) (/.f64 f n))))
(*.f64 2 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))
(*.f64 (/.f64 2 n) (fma.f64 f (/.f64 f n) f))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 2 (+.f64 (/.f64 f n) (*.f64 (/.f64 f n) (/.f64 f n))))
(*.f64 2 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))
(*.f64 (/.f64 2 n) (fma.f64 f (/.f64 f n) f))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 2 (+.f64 (/.f64 f n) (*.f64 (/.f64 f n) (/.f64 f n))))
(*.f64 2 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))
(*.f64 (/.f64 2 n) (fma.f64 f (/.f64 f n) f))
(*.f64 2 (/.f64 f n))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 2 (+.f64 (/.f64 f n) (*.f64 (/.f64 f n) (/.f64 f n))))
(*.f64 2 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))
(*.f64 (/.f64 2 n) (fma.f64 f (/.f64 f n) f))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 2 (+.f64 (/.f64 f n) (*.f64 (/.f64 f n) (/.f64 f n))))
(*.f64 2 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))
(*.f64 (/.f64 2 n) (fma.f64 f (/.f64 f n) f))
(+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))
(*.f64 2 (+.f64 (/.f64 f n) (/.f64 (*.f64 f f) (*.f64 n n))))
(*.f64 2 (+.f64 (/.f64 f n) (*.f64 (/.f64 f n) (/.f64 f n))))
(*.f64 2 (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
(*.f64 (/.f64 f n) (+.f64 2 (*.f64 2 (/.f64 f n))))
(*.f64 (/.f64 2 n) (fma.f64 f (/.f64 f n) f))

prune63.0ms (3.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh011
Picked011
Done011
Total92395
Error
0b
Counts
95 → 3
Alt Table
StatusErrorProgram
▶33.0b
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
✓30.9b
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2)))
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 1898 to 1099 computations (42.1% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.3%)

Counts
1 → 24
Calls

6 calls:

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

rewrite40.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
853×pow1_binary64
795×log1p-expm1-u_binary64
795×expm1-log1p-u_binary64
76×add-sqr-sqrt_binary64
74×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114913
2209513
Stop Event
1×node limit
Counts
1 → 42
Calls
Call 1
Inputs
(*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 n f) 2) (/.f64 n f))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 f (*.f64 n (+.f64 1 (/.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 n f)) (/.f64 f n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 n f) 3)) (*.f64 (/.f64 f n) (+.f64 1 (-.f64 (pow.f64 (/.f64 n f) 2) (/.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 n f) 2)) (*.f64 (/.f64 f n) (-.f64 1 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (+.f64 1 (/.f64 n f))) f)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 n (+.f64 1 (/.f64 n f)))) (neg.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (+.f64 1 (pow.f64 (/.f64 n f) 3))) (*.f64 f (+.f64 1 (-.f64 (pow.f64 (/.f64 n f) 2) (/.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) (+.f64 1 (pow.f64 (/.f64 n f) 3))) (*.f64 (neg.f64 f) (+.f64 1 (-.f64 (pow.f64 (/.f64 n f) 2) (/.f64 n f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (-.f64 1 (pow.f64 (/.f64 n f) 2))) (*.f64 f (-.f64 1 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) (-.f64 1 (pow.f64 (/.f64 n f) 2))) (*.f64 (neg.f64 f) (-.f64 1 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 n f) 3)) 1) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 n f) 2) (/.f64 n f))) (/.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 n f) 2)) 1) (*.f64 (-.f64 1 (/.f64 n f)) (/.f64 f n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 n f) 3)) n) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 n f) 2) (/.f64 n f))) f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 n f) 2)) n) (*.f64 (-.f64 1 (/.f64 n f)) f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 n f) 3)) (neg.f64 n)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 n f) 2) (/.f64 n f))) (neg.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 n f) 2)) (neg.f64 n)) (*.f64 (-.f64 1 (/.f64 n f)) (neg.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (+.f64 1 (/.f64 n f))) 1) f)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (+.f64 1 (/.f64 n f))) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n (+.f64 1 (/.f64 n f))) (sqrt.f64 f)) (sqrt.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) (+.f64 1 (/.f64 n f))) (neg.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 n f) 3)) (/.f64 n f)) (+.f64 1 (-.f64 (pow.f64 (/.f64 n f) 2) (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 n f) 2)) (/.f64 n f)) (-.f64 1 (/.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 n f) (+.f64 1 (pow.f64 (/.f64 n f) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 n f) 2) (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 n f) (-.f64 1 (pow.f64 (/.f64 n f) 2))) (-.f64 1 (/.f64 n f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (/.f64 n f)) (neg.f64 n)) (neg.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 n f)) (+.f64 1 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 n f) 3) (pow.f64 (+.f64 1 (/.f64 n f)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 n f)) 3) (pow.f64 (/.f64 n f) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 n f) (pow.f64 (/.f64 n f) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (/.f64 n f)) (log.f64 (/.f64 n f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 n f)) (log.f64 (/.f64 n f))) 1))))))

simplify35.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
976×fma-def_binary64
570×unswap-sqr_binary64
560×times-frac_binary64
257×associate-/l*_binary64
255×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
010330
118330
232276
378276
4323276
52669276
64587276
Stop Event
1×node limit
Counts
66 → 48
Calls
Call 1
Inputs
(/.f64 n f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(/.f64 n f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(/.f64 n f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
Outputs
(/.f64 n f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(*.f64 (/.f64 n f) (/.f64 n f))
(*.f64 n (/.f64 n (*.f64 f f)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(*.f64 (/.f64 n f) (/.f64 n f))
(*.f64 n (/.f64 n (*.f64 f f)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(/.f64 (pow.f64 n 2) (pow.f64 f 2))
(/.f64 (*.f64 n n) (*.f64 f f))
(*.f64 (/.f64 n f) (/.f64 n f))
(*.f64 n (/.f64 n (*.f64 f f)))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(/.f64 n f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(/.f64 n f)
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))
(+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 n f))
(+.f64 (/.f64 n f) (/.f64 (*.f64 n n) (*.f64 f f)))
(+.f64 (/.f64 n f) (*.f64 (/.f64 n f) (/.f64 n f)))
(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
(*.f64 (/.f64 n f) (+.f64 (/.f64 n f) 1))

prune28.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New48048
Fresh000
Picked011
Done022
Total48351
Error
0b
Counts
51 → 3
Alt Table
StatusErrorProgram
✓33.0b
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
✓30.9b
(+.f64 1 (*.f64 (/.f64 f n) (+.f64 (*.f64 2 (/.f64 f n)) 2)))
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 864 to 501 computations (42% saved)

regimes28.0ms (1.7%)

Accuracy

Total -63.7b remaining (-250581%)

Threshold costs -63.7b (-250581%)

Counts
16 → 1
Compiler

Compiled 155 to 78 computations (49.7% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
1910
21410
31610
41710
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))

end39.0ms (2.3%)

Stop Event
1×done
Compiler

Compiled 50 to 25 computations (50% saved)

Profiling

Loading profile data...