subtraction fraction

Time bar (total: 2.1s)

analyze14.0ms (0.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample735.0ms (34.4%)

Results
724.0ms8256×body256valid
Bogosity

preprocess153.0ms (7.2%)

Algorithm
1×egg-herbie
Rules
1456×div-sub
1014×fma-neg
972×times-frac
700×fma-def
558×associate-/l*
Problems
256×No Errors
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
026183
163175
2167167
3482155
41587155
54666155
65710155
75886155
85947155
95971155
106021155
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 (neg.f64 f) n)) (-.f64 (neg.f64 f) n))
(/.f64 (neg.f64 (+.f64 f (neg.f64 n))) (-.f64 f (neg.f64 n)))
(/.f64 (neg.f64 (+.f64 n f)) (-.f64 n f))
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))
(/.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))
(/.f64 (neg.f64 (+.f64 (neg.f64 f) n)) (-.f64 (neg.f64 f) n))
(/.f64 (neg.f64 (-.f64 n f)) (-.f64 (neg.f64 f) n))
(/.f64 (-.f64 f n) (-.f64 (neg.f64 f) n))
(/.f64 (-.f64 n f) (+.f64 f n))
(/.f64 (neg.f64 (+.f64 f (neg.f64 n))) (-.f64 f (neg.f64 n)))
(/.f64 (neg.f64 (-.f64 n f)) (-.f64 (neg.f64 f) n))
(/.f64 (-.f64 f n) (-.f64 (neg.f64 f) n))
(/.f64 (-.f64 n f) (+.f64 f n))
(/.f64 (neg.f64 (+.f64 n f)) (-.f64 n f))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 f n))
Compiler

Compiled 33 to 13 computations (60.6% saved)

eval0.0ms (0%)

Compiler

Compiled 17 to 9 computations (47.1% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
▶100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 18 to 10 computations (44.4% saved)

localize27.0ms (1.3%)

Localize:

Found 1 expressions with local error:

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

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite154.0ms (7.2%)

Algorithm
1×batch-egg-rewrite
Rules
1516×prod-diff
791×log1p-expm1-u
791×expm1-log1p-u
688×log-prod
676×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
113131
2206831
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
Outputs
(+.f64 0 (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(-.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 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (-.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 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (sqrt.f64 (+.f64 f n)) (*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (neg.f64 (+.f64 f n)) (/.f64 1 (neg.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (-.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) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) 1) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.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 (+.f64 f n) (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 f n))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 f (+.f64 f n) (pow.f64 n 2)))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(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 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

simplify59.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1948×fma-def
1616×times-frac
704×associate-*r/
594×distribute-lft-in
570×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01832876
15162616
218512278
Stop Event
1×node limit
Counts
62 → 83
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n f)) (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n f)) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3)))) (+.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 n f)) (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 n f)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (/.f64 (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f))) (pow.f64 n 3))))) (*.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 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (/.f64 (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f))) (pow.f64 n 3))))) (*.f64 -1 (/.f64 f n)))
(+.f64 0 (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(-.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 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (-.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 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (sqrt.f64 (+.f64 f n)) (*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (neg.f64 (+.f64 f n)) (/.f64 1 (neg.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (-.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) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) 1) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.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 (+.f64 f n) (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 f n))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 f (+.f64 f n) (pow.f64 n 2)))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(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 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
Outputs
1
(+.f64 1 (*.f64 2 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 f n)) (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 1 (*.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(fma.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2))) 1)
(fma.f64 2 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))) 1)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 f n)) (+.f64 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(+.f64 1 (fma.f64 2 (/.f64 f n) (*.f64 2 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(+.f64 1 (*.f64 2 (+.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 f n))))
(fma.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n)))) 1)
-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 -1 (/.f64 n f)) (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2))) (+.f64 1 (/.f64 n f)))
(-.f64 (fma.f64 -1 (/.f64 n f) (/.f64 (*.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f 2))) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 (fma.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) -1) (/.f64 n f)) (/.f64 n f))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 n f)) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 -1 n) n)) (pow.f64 f 2)) (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (*.f64 -1 n) n)) (pow.f64 f 3)))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 n f) (/.f64 (*.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f 2))) (/.f64 (pow.f64 n 2) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n)))) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 (fma.f64 -2 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1) (/.f64 n f)) (/.f64 n f))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) (pow.f64 (/.f64 n f) 3)) -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 (fma.f64 -1 (/.f64 n f) (/.f64 (*.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f 2))) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 (fma.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) -1) (/.f64 n f)) (/.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 (fma.f64 -1 (/.f64 n f) (/.f64 (*.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f 2))) (/.f64 (pow.f64 n 2) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n)))) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 (fma.f64 -2 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1) (/.f64 n f)) (/.f64 n f))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) (pow.f64 (/.f64 n f) 3)) -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 n f)) (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) 1)
(-.f64 (fma.f64 -1 (/.f64 n f) (/.f64 (*.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f 2))) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 (fma.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) -1) (/.f64 n f)) (/.f64 n f))
(fma.f64 -2 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 n f)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) 1)
(-.f64 (+.f64 (fma.f64 -1 (/.f64 n f) (/.f64 (*.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f 2))) (/.f64 (pow.f64 n 2) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n)))) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 (fma.f64 -2 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1) (/.f64 n f)) (/.f64 n f))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 1 (/.f64 n f)) (/.f64 n f)) (pow.f64 (/.f64 n f) 3)) -1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (*.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(fma.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2))) 1)
(fma.f64 2 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (/.f64 (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f))) (pow.f64 n 3))))) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (fma.f64 2 (/.f64 f n) (*.f64 2 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(+.f64 1 (*.f64 2 (+.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 f n))))
(fma.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (*.f64 2 (/.f64 f n)))
(fma.f64 2 (/.f64 f n) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)))) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (*.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(fma.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2))) 1)
(fma.f64 2 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 -1 f))) (pow.f64 n 2)) (/.f64 (*.f64 (pow.f64 f 2) (-.f64 f (*.f64 -1 f))) (pow.f64 n 3))))) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (fma.f64 2 (/.f64 f n) (*.f64 2 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(+.f64 1 (*.f64 2 (+.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 f n))))
(fma.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n)))) 1)
(+.f64 0 (/.f64 (+.f64 f n) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 1 (/.f64 (+.f64 f n) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
(/.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 (+.f64 f n) (-.f64 n f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (sqrt.f64 (+.f64 f n)) (*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
(/.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 (+.f64 f n) (-.f64 n f))
(*.f64 (neg.f64 (+.f64 f n)) (/.f64 1 (neg.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(/.f64 (+.f64 f n) (-.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) (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) 1) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.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 (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 (/.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 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) 1) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.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 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 f n))
(*.f64 (+.f64 f n) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 2) (pow.f64 f 2))))
(/.f64 (*.f64 (+.f64 f n) (+.f64 f n)) (-.f64 (pow.f64 n 2) (pow.f64 f 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 6) (-.f64 (pow.f64 n 2) (pow.f64 f 2)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 f (+.f64 f n) (pow.f64 n 2)))
(/.f64 (*.f64 (+.f64 f n) (fma.f64 f (+.f64 f n) (pow.f64 n 2))) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(/.f64 (+.f64 f n) (/.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 f (+.f64 f n) (pow.f64 n 2))))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 1/3)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2)
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(/.f64 (+.f64 f n) (-.f64 n f))
(neg.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
(/.f64 (+.f64 f n) (-.f64 n f))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(/.f64 (+.f64 f n) (-.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
(/.f64 (+.f64 f n) (-.f64 n f))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) 3) (pow.f64 (-.f64 n f) 3)))
(/.f64 (+.f64 f n) (-.f64 n f))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(exp.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 1))
(/.f64 (+.f64 f n) (-.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))

eval19.0ms (0.9%)

Compiler

Compiled 1297 to 571 computations (56% saved)

prune14.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New79483
Fresh000
Picked011
Done000
Total79584
Accuracy
100.0%
Counts
84 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
▶50.8%
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶51.9%
(+.f64 1 (*.f64 2 (/.f64 f n)))
50.6%
1
49.7%
-1
✓100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
▶50.8%
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶51.9%
(+.f64 1 (*.f64 2 (/.f64 f n)))
50.6%
1
49.7%
-1
Compiler

Compiled 66 to 50 computations (24.2% saved)

localize43.0ms (2%)

Localize:

Found 2 expressions with local error:

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

Compiled 41 to 21 computations (48.8% saved)

series68.0ms (3.2%)

Counts
2 → 0
Calls

12 calls:

TimeVariablePointExpression
63.0ms
f
@-inf
(*.f64 2 (/.f64 f n))
1.0ms
n
@0
(*.f64 2 (/.f64 f n))
1.0ms
f
@inf
(*.f64 2 (/.f64 f n))
1.0ms
n
@0
(*.f64 -2 (/.f64 n f))
1.0ms
f
@0
(*.f64 2 (/.f64 f n))

rewrite69.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
1256×unpow-prod-down
770×log-prod
660×log1p-expm1-u
660×expm1-log1p-u
444×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01338
113938
2180838
Stop Event
1×node limit
Counts
2 → 63
Calls
Call 1
Inputs
(*.f64 2 (/.f64 f n))
(*.f64 -2 (/.f64 n f))
Outputs
(+.f64 (/.f64 f n) (/.f64 f n))
(+.f64 0 (*.f64 2 (/.f64 f n)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 f n))) (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 f n))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 f n)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 f n)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 f n)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 f n)))) 1)
(/.f64 2 (/.f64 n f))
(/.f64 1 (/.f64 n (*.f64 2 f)))
(/.f64 (*.f64 2 f) n)
(/.f64 (neg.f64 (*.f64 2 f)) (neg.f64 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) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(/.f64 (/.f64 (*.f64 2 f) (sqrt.f64 n)) (sqrt.f64 n))
(pow.f64 (*.f64 2 (/.f64 f n)) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 f n))) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4) 1/2)
(pow.f64 (*.f64 (pow.f64 (/.f64 f n) 3) 8) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 f n))) 2)
(pow.f64 (/.f64 n (*.f64 2 f)) -1)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4))
(log.f64 (pow.f64 (exp.f64 2) (/.f64 f n)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 f n)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 f n) 3) 8))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 f n))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2 (/.f64 f n)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 f n) 3) 8)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 f n)))) 2))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 f n))))
(+.f64 0 (*.f64 -2 (/.f64 n f)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (/.f64 n f)))) 1)
(/.f64 -2 (/.f64 f n))
(/.f64 1 (/.f64 f (*.f64 n -2)))
(/.f64 (*.f64 n -2) f)
(/.f64 (neg.f64 (*.f64 n -2)) (neg.f64 f))
(/.f64 (*.f64 -2 (neg.f64 n)) (neg.f64 f))
(/.f64 (*.f64 (neg.f64 n) -2) (neg.f64 f))
(/.f64 (/.f64 (*.f64 n -2) 1) f)
(/.f64 (/.f64 (*.f64 n -2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))
(/.f64 (/.f64 (*.f64 n -2) (sqrt.f64 f)) (sqrt.f64 f))
(pow.f64 (*.f64 -2 (/.f64 n f)) 1)
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 n f))) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 f n) -2) 4) 1/2)
(pow.f64 (*.f64 (pow.f64 (/.f64 f n) -3) -8) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) 2)
(pow.f64 (/.f64 f (*.f64 n -2)) -1)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 f n) -2) 4))
(log.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (/.f64 n f)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 f n) -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))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 n f))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -2 (/.f64 n f)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -2 (/.f64 n f)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f)))) 2))
(log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 n f))))

simplify54.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
1406×log-prod
1118×fma-def
986×log-div
630×times-frac
554×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01651447
13611395
28771323
336391323
Stop Event
1×node limit
Counts
63 → 74
Calls
Call 1
Inputs
(+.f64 (/.f64 f n) (/.f64 f n))
(+.f64 0 (*.f64 2 (/.f64 f n)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 f n))) (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 f n))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 f n)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 f n)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 f n)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 f n)))) 1)
(/.f64 2 (/.f64 n f))
(/.f64 1 (/.f64 n (*.f64 2 f)))
(/.f64 (*.f64 2 f) n)
(/.f64 (neg.f64 (*.f64 2 f)) (neg.f64 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) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(/.f64 (/.f64 (*.f64 2 f) (sqrt.f64 n)) (sqrt.f64 n))
(pow.f64 (*.f64 2 (/.f64 f n)) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 f n))) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4) 1/2)
(pow.f64 (*.f64 (pow.f64 (/.f64 f n) 3) 8) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 f n))) 2)
(pow.f64 (/.f64 n (*.f64 2 f)) -1)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4))
(log.f64 (pow.f64 (exp.f64 2) (/.f64 f n)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 f n)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 f n) 3) 8))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 f n))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2 (/.f64 f n)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 f n) 3) 8)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 f n)))) 2))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 f n))))
(+.f64 0 (*.f64 -2 (/.f64 n f)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (/.f64 n f)))) 1)
(/.f64 -2 (/.f64 f n))
(/.f64 1 (/.f64 f (*.f64 n -2)))
(/.f64 (*.f64 n -2) f)
(/.f64 (neg.f64 (*.f64 n -2)) (neg.f64 f))
(/.f64 (*.f64 -2 (neg.f64 n)) (neg.f64 f))
(/.f64 (*.f64 (neg.f64 n) -2) (neg.f64 f))
(/.f64 (/.f64 (*.f64 n -2) 1) f)
(/.f64 (/.f64 (*.f64 n -2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))
(/.f64 (/.f64 (*.f64 n -2) (sqrt.f64 f)) (sqrt.f64 f))
(pow.f64 (*.f64 -2 (/.f64 n f)) 1)
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 n f))) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 f n) -2) 4) 1/2)
(pow.f64 (*.f64 (pow.f64 (/.f64 f n) -3) -8) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) 2)
(pow.f64 (/.f64 f (*.f64 n -2)) -1)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 f n) -2) 4))
(log.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (/.f64 n f)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 f n) -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))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 n f))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -2 (/.f64 n f)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -2 (/.f64 n f)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f)))) 2))
(log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 n f))))
Outputs
(+.f64 (/.f64 f n) (/.f64 f n))
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(+.f64 0 (*.f64 2 (/.f64 f n)))
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 f n))) (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 f n))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 f n)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 f n))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 f n)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 f n)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 f n)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 f n)))))
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 f n)))) 1)
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(/.f64 2 (/.f64 n f))
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(/.f64 1 (/.f64 n (*.f64 2 f)))
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(/.f64 (*.f64 2 f) n)
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(/.f64 (neg.f64 (*.f64 2 f)) (neg.f64 n))
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(/.f64 (*.f64 2 (neg.f64 f)) (neg.f64 n))
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(/.f64 (*.f64 (neg.f64 f) 2) (neg.f64 n))
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(/.f64 (/.f64 (*.f64 2 f) 1) n)
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(/.f64 (/.f64 (*.f64 2 f) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(/.f64 (/.f64 (*.f64 2 f) (sqrt.f64 n)) (sqrt.f64 n))
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(pow.f64 (*.f64 2 (/.f64 f n)) 1)
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 f n))) 3)
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(pow.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4))
(pow.f64 (*.f64 (pow.f64 (/.f64 f n) 3) 8) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 f n) 3) 8))
(cbrt.f64 (*.f64 8 (pow.f64 (/.f64 f n) 3)))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 f n))) 2)
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(pow.f64 (/.f64 n (*.f64 2 f)) -1)
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4))
(log.f64 (pow.f64 (exp.f64 2) (/.f64 f n)))
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 f n)))))
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 f n) 3) 8))
(cbrt.f64 (*.f64 8 (pow.f64 (/.f64 f n) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 f n))))
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(exp.f64 (log.f64 (*.f64 2 (/.f64 f n))))
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 f n))) 1))
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 f n))) 1) 1))
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2 (/.f64 f n)))) 3))
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 f n) 3) 8)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 f n) 3) 8))
(cbrt.f64 (*.f64 8 (pow.f64 (/.f64 f n) 3)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 f n)))) 2))
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 f n))))
(*.f64 (/.f64 f n) 2)
(*.f64 f (/.f64 2 n))
(/.f64 f (/.f64 n 2))
(+.f64 0 (*.f64 -2 (/.f64 n f)))
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2))))
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (/.f64 n f)))) 1)
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(/.f64 -2 (/.f64 f n))
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(/.f64 1 (/.f64 f (*.f64 n -2)))
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(/.f64 (*.f64 n -2) f)
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(/.f64 (neg.f64 (*.f64 n -2)) (neg.f64 f))
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(/.f64 (*.f64 -2 (neg.f64 n)) (neg.f64 f))
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(/.f64 (*.f64 (neg.f64 n) -2) (neg.f64 f))
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(/.f64 (/.f64 (*.f64 n -2) 1) f)
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(/.f64 (/.f64 (*.f64 n -2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(/.f64 (/.f64 (*.f64 n -2) (sqrt.f64 f)) (sqrt.f64 f))
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(pow.f64 (*.f64 -2 (/.f64 n f)) 1)
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 n f))) 3)
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(pow.f64 (*.f64 (pow.f64 (/.f64 f n) -2) 4) 1/2)
(sqrt.f64 (*.f64 4 (pow.f64 (/.f64 f n) -2)))
(pow.f64 (*.f64 (pow.f64 (/.f64 f n) -3) -8) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 f n) -3) -8))
(pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) 2)
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(pow.f64 (/.f64 f (*.f64 n -2)) -1)
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 f n) -2) 4))
(sqrt.f64 (*.f64 4 (pow.f64 (/.f64 f n) -2)))
(log.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2))
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (/.f64 n f)))))
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 f n) -3) -8))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 n f))))
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 n f))))
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(exp.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 n f))) 1))
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 n f))) 1) 1))
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -2 (/.f64 n f)))) 3))
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -2 (/.f64 n f)))) 1/3))
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f)))) 2))
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))
(log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 n f))))
(/.f64 n (/.f64 f -2))
(*.f64 n (/.f64 -2 f))

eval50.0ms (2.4%)

Compiler

Compiled 806 to 557 computations (30.9% saved)

prune60.0ms (2.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New74074
Fresh022
Picked022
Done011
Total74579
Accuracy
100.0%
Counts
79 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
✓50.8%
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓51.9%
(+.f64 1 (*.f64 2 (/.f64 f n)))
50.6%
1
49.7%
-1
✓100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
✓50.8%
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓51.9%
(+.f64 1 (*.f64 2 (/.f64 f n)))
50.6%
1
49.7%
-1
Compiler

Compiled 66 to 50 computations (24.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done033
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
✓50.8%
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓51.9%
(+.f64 1 (*.f64 2 (/.f64 f n)))
50.6%
1
49.7%
-1
✓100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
✓50.8%
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓51.9%
(+.f64 1 (*.f64 2 (/.f64 f n)))
50.6%
1
49.7%
-1
Compiler

Compiled 66 to 50 computations (24.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done033
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
✓50.8%
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓51.9%
(+.f64 1 (*.f64 2 (/.f64 f n)))
50.6%
1
49.7%
-1
Compiler

Compiled 66 to 45 computations (31.8% saved)

regimes14.0ms (0.7%)

Counts
6 → 1
Calls
Call 1
Inputs
-1
1
(+.f64 1 (*.f64 2 (/.f64 f n)))
(-.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:

6.0ms
n
5.0ms
f
2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
100.0%1f
100.0%1n
100.0%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 49 to 30 computations (38.8% saved)

regimes26.0ms (1.2%)

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

2 calls:

14.0ms
n
11.0ms
f
Results
AccuracySegmentsBranch
79.2%3f
79.1%3n
Compiler

Compiled 24 to 18 computations (25% saved)

regimes25.0ms (1.2%)

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

2 calls:

14.0ms
n
10.0ms
f
Results
AccuracySegmentsBranch
78.7%3n
79.0%3f
Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes27.0ms (1.3%)

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

2 calls:

15.0ms
f
12.0ms
n
Results
AccuracySegmentsBranch
77.9%3n
80.0%5f
Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

3.0ms
n
3.0ms
f
Results
AccuracySegmentsBranch
49.7%1f
49.7%1n
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch32.0ms (1.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
2.1491852430951538e+92
7.540735130963933e+113
14.0ms
-4.5652934473572666e-41
-5.279002539381696e-45
Results
27.0ms304×body256valid
Compiler

Compiled 395 to 314 computations (20.5% saved)

bsearch28.0ms (1.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
1.3790908374559107e+138
1.8412805883479127e+139
16.0ms
-4.5652934473572666e-41
-5.279002539381696e-45
Results
25.0ms224×body256valid
Compiler

Compiled 211 to 178 computations (15.6% saved)

bsearch15.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
5.0ms
3.681294197205622e-20
8.28079235685282e-18
10.0ms
-1.6789942988423285e-69
-1.9275978372244073e-70
Results
13.0ms144×body256valid
Compiler

Compiled 87 to 82 computations (5.7% saved)

simplify7.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
041191
163191
269191
376191
477191
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f -3916911482881289/100433627766186892221372630771322662657637687111424552206336) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 62999999999999999702722318238918520773282943764627003938512789997693079427523851670232620179914752) (+.f64 1 (*.f64 2 (/.f64 f n))) (-.f64 (*.f64 -2 (/.f64 n f)) 1)))
(if (<=.f64 f -7532522082464017/1569275433846670190958947355801916604025588861116008628224) -1 (if (<=.f64 f 1400000000000000045978187484886896510581817592903456373717238796762245809658303193761601841878818377757529306698051409810107886887896088576) (+.f64 1 (*.f64 2 (/.f64 f n))) -1))
(if (<=.f64 n -3205403672172453/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176) 1 (if (<=.f64 n 1298074214633707/1298074214633706907132624082305024) -1 1))
-1
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f -3916911482881289/100433627766186892221372630771322662657637687111424552206336) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 62999999999999999702722318238918520773282943764627003938512789997693079427523851670232620179914752) (+.f64 1 (*.f64 2 (/.f64 f n))) (-.f64 (*.f64 -2 (/.f64 n f)) 1)))
(if (or (<=.f64 f -3916911482881289/100433627766186892221372630771322662657637687111424552206336) (not (<=.f64 f 62999999999999999702722318238918520773282943764627003938512789997693079427523851670232620179914752))) (-.f64 (*.f64 -2 (/.f64 n f)) 1) (+.f64 1 (*.f64 2 (/.f64 f n))))
(if (or (<=.f64 f -3916911482881289/100433627766186892221372630771322662657637687111424552206336) (not (<=.f64 f 62999999999999999702722318238918520773282943764627003938512789997693079427523851670232620179914752))) (+.f64 (*.f64 -2 (/.f64 n f)) -1) (+.f64 1 (*.f64 2 (/.f64 f n))))
(if (<=.f64 f -7532522082464017/1569275433846670190958947355801916604025588861116008628224) -1 (if (<=.f64 f 1400000000000000045978187484886896510581817592903456373717238796762245809658303193761601841878818377757529306698051409810107886887896088576) (+.f64 1 (*.f64 2 (/.f64 f n))) -1))
(if (<=.f64 n -3205403672172453/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176) 1 (if (<=.f64 n 1298074214633707/1298074214633706907132624082305024) -1 1))
-1
Compiler

Compiled 69 to 53 computations (23.2% saved)

soundness316.0ms (14.8%)

Rules
1456×div-sub
1014×fma-neg
972×times-frac
700×fma-def
558×associate-/l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
026183
163175
2167167
3482155
41587155
54666155
65710155
75886155
85947155
95971155
106021155
Stop Event
1×saturated
Compiler

Compiled 131 to 45 computations (65.6% saved)

end0.0ms (0%)

preprocess108.0ms (5.1%)

Compiler

Compiled 142 to 100 computations (29.6% saved)

Profiling

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