subtraction fraction

Time bar (total: 2.4s)

analyze17.0ms (0.7%)

Algorithm
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)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
Operation ival-sub, time spent: 3.0ms, 42.0% of total-time
Operation ival-add, time spent: 2.0ms, 28.0% of total-time
Operation ival-div, time spent: 1.0ms, 14.0% of total-time
Operation ival-neg, time spent: 1.0ms, 14.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample903.0ms (37.2%)

Results
849.0ms8255×256valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 239.0ms
Operation ival-div, time spent: 73.0ms, 31.0% of total-time
Operation ival-add, time spent: 63.0ms, 26.0% of total-time
Operation ival-sub, time spent: 48.0ms, 20.0% of total-time
Operation ival-neg, time spent: 47.0ms, 20.0% of total-time
Operation const, time spent: 9.0ms, 4.0% of total-time
Bogosity

preprocess243.0ms (10%)

Algorithm
egg-herbie
Rules
1162×fma-define
524×fma-neg
446×times-frac
264×div-sub
182×associate-/r*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
00-0-f
00-0-n
00-0-(-.f64 f n)
00-0-(neg.f64 (+.f64 f n))
00-0-(+.f64 f n)
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028269
178217
2208217
3582217
41490217
52115217
62375217
72443217
82564217
Stop Event
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)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (neg.f64 f) n)) (-.f64 (neg.f64 f) n)))
(neg.f64 (/.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 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 n f) (+.f64 f n))
(neg.f64 (/.f64 (neg.f64 (+.f64 (neg.f64 f) n)) (-.f64 (neg.f64 f) n)))
(/.f64 (neg.f64 (-.f64 n f)) (neg.f64 (-.f64 (neg.f64 f) n)))
(/.f64 (-.f64 f n) (+.f64 f n))
(neg.f64 (/.f64 (neg.f64 (+.f64 f (neg.f64 n))) (-.f64 f (neg.f64 n))))
(/.f64 (neg.f64 (-.f64 n f)) (neg.f64 (-.f64 (neg.f64 f) n)))
(/.f64 (-.f64 f n) (+.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 56 to 20 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
Operation ival-add, time spent: 8.0ms, 45.0% of total-time
Operation ival-div, time spent: 4.0ms, 23.0% of total-time
Operation ival-sub, time spent: 3.0ms, 17.0% of total-time
Operation ival-neg, time spent: 2.0ms, 11.0% of total-time
Operation const, time spent: 1.0ms, 6.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 17 to 9 computations (47.1% saved)

prune1.0ms (0%)

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

Compiled 9 to 5 computations (44.4% saved)

localize29.0ms (1.2%)

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)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
Operation ival-div, time spent: 4.0ms, 50.0% of total-time
Operation ival-add, time spent: 2.0ms, 25.0% of total-time
Operation ival-sub, time spent: 1.0ms, 13.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series6.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

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

rewrite202.0ms (8.3%)

Algorithm
batch-egg-rewrite
Rules
1516×prod-diff
790×log1p-expm1-u
790×expm1-log1p-u
696×log-prod
604×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
113131
2208231
Stop Event
node limit
Counts
1 → 41
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 (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 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (/.f64 (cbrt.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 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (sqrt.f64 (+.f64 f n)) (*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.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))))
(neg.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.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))))
(log1p.f64 (expm1.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))

simplify60.0ms (2.5%)

Algorithm
egg-herbie
Rules
1852×times-frac
776×associate-/r*
688×associate-/l*
512×associate-*r/
464×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01872969
15322709
218872383
Stop Event
node limit
Counts
65 → 87
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 (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 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (/.f64 (cbrt.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 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (sqrt.f64 (+.f64 f n)) (*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.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))))
(neg.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.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))))
(log1p.f64 (expm1.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))
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 f n) (+.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 f n) (+.f64 1 (/.f64 f n))) (pow.f64 (/.f64 f n) 3))))
-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 n (/.f64 (-.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 n (/.f64 (-.f64 (neg.f64 n) n) (pow.f64 f 2)))) (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (neg.f64 n) n)) (pow.f64 f 3))) (+.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 n (/.f64 (-.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 n (/.f64 (-.f64 (neg.f64 n) n) (pow.f64 f 2)))) (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (neg.f64 n) n)) (pow.f64 f 3))) (+.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 n (/.f64 (-.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 n (/.f64 (-.f64 (neg.f64 n) n) (pow.f64 f 2)))) (/.f64 (*.f64 (pow.f64 n 2) (-.f64 (neg.f64 n) n)) (pow.f64 f 3))) (+.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 f n) (+.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 f n) (+.f64 1 (/.f64 f n))) (pow.f64 (/.f64 f n) 3))))
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 f n) (+.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 f n) (+.f64 1 (/.f64 f n))) (pow.f64 (/.f64 f n) 3))))
(+.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 (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 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (/.f64 (cbrt.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 (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 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.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 (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 f n) (*.f64 (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 f n) (*.f64 (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 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (/.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (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 f n) (*.f64 (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 f n) (*.f64 (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 (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)))
(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))
(neg.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.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))
(log1p.f64 (expm1.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))

eval25.0ms (1%)

Compiler

Compiled 1350 to 574 computations (57.5% saved)

prune13.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New83487
Fresh000
Picked011
Done000
Total83588
Accuracy
100.0%
Counts
88 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
52.6%
(+.f64 1 (*.f64 2 (/.f64 f n)))
99.7%
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
51.2%
1
48.3%
-1
Compiler

Compiled 35 to 25 computations (28.6% saved)

localize193.0ms (8%)

Localize:

Found 2 expressions with local error:

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

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 142.0ms
Operation ival-div, time spent: 69.0ms, 49.0% of total-time
Operation ival-sub, time spent: 63.0ms, 44.0% of total-time
Operation ival-mult, time spent: 5.0ms, 4.0% of total-time
Operation ival-add, time spent: 3.0ms, 2.0% of total-time
Operation const, time spent: 2.0ms, 1.0% of total-time

series11.0ms (0.4%)

Counts
2 → 48
Calls

12 calls:

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

rewrite105.0ms (4.3%)

Algorithm
batch-egg-rewrite
Rules
1952×prod-diff
905×log1p-expm1-u
905×expm1-log1p-u
710×fma-define
298×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01250
116350
2251050
Stop Event
node limit
Counts
2 → 98
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(/.f64 1 (-.f64 n f))
Outputs
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 (*.f64 (/.f64 f (-.f64 n f)) 1) (*.f64 (/.f64 n (-.f64 n f)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1)
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (*.f64 (-.f64 n f) (fma.f64 n (-.f64 n f) (pow.f64 f 2))))
(/.f64 (-.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (neg.f64 (-.f64 n f)) (fma.f64 n (-.f64 n f) (pow.f64 f 2))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 (neg.f64 (-.f64 n f)) (-.f64 f n)))
(/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) 1) (*.f64 (fma.f64 n (-.f64 n f) (pow.f64 f 2)) (-.f64 n f)))
(/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) -1) (*.f64 (fma.f64 n (-.f64 n f) (pow.f64 f 2)) (neg.f64 (-.f64 n f))))
(/.f64 (*.f64 (-.f64 (pow.f64 f 2) (pow.f64 n 2)) 1) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (*.f64 (-.f64 (pow.f64 f 2) (pow.f64 n 2)) -1) (*.f64 (-.f64 f n) (neg.f64 (-.f64 n f))))
(/.f64 (neg.f64 (+.f64 n f)) (neg.f64 (-.f64 n f)))
(/.f64 (/.f64 (+.f64 n f) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) (pow.f64 (/.f64 n (-.f64 n f)) 3)) (fma.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 n f)) (-.f64 (*.f64 (/.f64 n (-.f64 n f)) (/.f64 n (-.f64 n f))) (*.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))))
(/.f64 (-.f64 (*.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 n f))) (*.f64 (/.f64 n (-.f64 n f)) (/.f64 n (-.f64 n f)))) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))
(/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 n (-.f64 n f) (pow.f64 f 2)))
(/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (-.f64 f n))
(/.f64 (*.f64 (+.f64 n f) -1) (neg.f64 (-.f64 n f)))
(/.f64 (*.f64 -1 (+.f64 n f)) (neg.f64 (-.f64 n f)))
(/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 1 (-.f64 n f))) (fma.f64 n (-.f64 n f) (pow.f64 f 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 1 (-.f64 n f))) (-.f64 f n))
(/.f64 (/.f64 (+.f64 n f) 1) (-.f64 n f))
(/.f64 (/.f64 (+.f64 n f) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 n f)) 3) (pow.f64 (+.f64 n f) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 n f) 3) (pow.f64 (/.f64 1 (-.f64 n f)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 n f) 3) (pow.f64 (-.f64 n f) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1))
(fma.f64 1 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 1 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 n (/.f64 1 (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 f (/.f64 1 (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 1 (-.f64 n f)) n (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 1 (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) f) (/.f64 n (-.f64 n f)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) n) (/.f64 f (-.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 1 (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 f) 2) (*.f64 (cbrt.f64 f) (/.f64 1 (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (pow.f64 (-.f64 n f) -1/2) (*.f64 (pow.f64 (-.f64 n f) -1/2) f) (/.f64 n (-.f64 n f)))
(fma.f64 (pow.f64 (-.f64 n f) -1/2) (*.f64 (pow.f64 (-.f64 n f) -1/2) n) (/.f64 f (-.f64 n f)))
(fma.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (/.f64 1 (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (sqrt.f64 f) (*.f64 (sqrt.f64 f) (/.f64 1 (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 f (-.f64 n f)) 1 (*.f64 (/.f64 n (-.f64 n f)) 1))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) (cbrt.f64 (/.f64 f (-.f64 n f)))) (cbrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) (cbrt.f64 (/.f64 n (-.f64 n f)))) (cbrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (*.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 f)) (*.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 f)) (/.f64 n (-.f64 n f)))
(fma.f64 (*.f64 (sqrt.f64 f) (pow.f64 (-.f64 n f) -1/2)) (*.f64 (sqrt.f64 f) (pow.f64 (-.f64 n f) -1/2)) (/.f64 n (-.f64 n f)))
(fma.f64 (*.f64 (sqrt.f64 n) (pow.f64 (-.f64 n f) -1/2)) (*.f64 (sqrt.f64 n) (pow.f64 (-.f64 n f) -1/2)) (/.f64 f (-.f64 n f)))
(fma.f64 (*.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 n)) (*.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 n)) (/.f64 f (-.f64 n f)))
(fma.f64 (*.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f) (/.f64 n (-.f64 n f)))
(fma.f64 (*.f64 (/.f64 1 (-.f64 n f)) (sqrt.f64 f)) (sqrt.f64 f) (/.f64 n (-.f64 n f)))
(fma.f64 (*.f64 f (cbrt.f64 (pow.f64 (-.f64 n f) -2))) (/.f64 1 (cbrt.f64 (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (*.f64 f (pow.f64 (-.f64 n f) -1/2)) (pow.f64 (-.f64 n f) -1/2) (/.f64 n (-.f64 n f)))
(fma.f64 (*.f64 n (cbrt.f64 (pow.f64 (-.f64 n f) -2))) (/.f64 1 (cbrt.f64 (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (*.f64 n (pow.f64 (-.f64 n f) -1/2)) (pow.f64 (-.f64 n f) -1/2) (/.f64 f (-.f64 n f)))
(fma.f64 (*.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n) (/.f64 f (-.f64 n f)))
(fma.f64 (*.f64 (/.f64 1 (-.f64 n f)) (sqrt.f64 n)) (sqrt.f64 n) (/.f64 f (-.f64 n f)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 n f)))) 1)
(*.f64 1 (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (pow.f64 (-.f64 n f) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (/.f64 1 (cbrt.f64 (-.f64 n f))))
(*.f64 (pow.f64 (-.f64 n f) -1/2) (pow.f64 (-.f64 n f) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 n f)) -1))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 n f)) -1) (pow.f64 (sqrt.f64 (-.f64 n f)) -1))
(*.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 f (+.f64 n f) (pow.f64 n 2)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 n f))
(pow.f64 (-.f64 n f) -1)
(pow.f64 (/.f64 1 (-.f64 n f)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 n f)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 n f) -1/2) 2)
(neg.f64 (/.f64 -1 (-.f64 n f)))
(sqrt.f64 (pow.f64 (-.f64 n f) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 n f)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 n f))))
(exp.f64 (neg.f64 (log.f64 (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (-.f64 n f)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 n f))) 1))

simplify183.0ms (7.5%)

Algorithm
egg-herbie
Rules
1390×unswap-sqr
644×fma-neg
500×distribute-lft-neg-out
426×cancel-sign-sub-inv
410×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03367271
19546002
235195742
Stop Event
node limit
Counts
146 → 169
Calls
Call 1
Inputs
-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)))
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)
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 3)) (/.f64 (pow.f64 f 3) (pow.f64 n 4)))))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 3)) (/.f64 (pow.f64 f 3) (pow.f64 n 4)))))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 3)) (/.f64 (pow.f64 f 3) (pow.f64 n 4)))))
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 (*.f64 (/.f64 f (-.f64 n f)) 1) (*.f64 (/.f64 n (-.f64 n f)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1)
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (*.f64 (-.f64 n f) (fma.f64 n (-.f64 n f) (pow.f64 f 2))))
(/.f64 (-.f64 (pow.f64 f 2) (pow.f64 n 2)) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (*.f64 (neg.f64 (-.f64 n f)) (fma.f64 n (-.f64 n f) (pow.f64 f 2))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (*.f64 (neg.f64 (-.f64 n f)) (-.f64 f n)))
(/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) 1) (*.f64 (fma.f64 n (-.f64 n f) (pow.f64 f 2)) (-.f64 n f)))
(/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) -1) (*.f64 (fma.f64 n (-.f64 n f) (pow.f64 f 2)) (neg.f64 (-.f64 n f))))
(/.f64 (*.f64 (-.f64 (pow.f64 f 2) (pow.f64 n 2)) 1) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (*.f64 (-.f64 (pow.f64 f 2) (pow.f64 n 2)) -1) (*.f64 (-.f64 f n) (neg.f64 (-.f64 n f))))
(/.f64 (neg.f64 (+.f64 n f)) (neg.f64 (-.f64 n f)))
(/.f64 (/.f64 (+.f64 n f) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(/.f64 (+.f64 (pow.f64 (/.f64 f (-.f64 n f)) 3) (pow.f64 (/.f64 n (-.f64 n f)) 3)) (fma.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 n f)) (-.f64 (*.f64 (/.f64 n (-.f64 n f)) (/.f64 n (-.f64 n f))) (*.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))))
(/.f64 (-.f64 (*.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 n f))) (*.f64 (/.f64 n (-.f64 n f)) (/.f64 n (-.f64 n f)))) (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))
(/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (+.f64 (pow.f64 f 3) (pow.f64 n 3))) (fma.f64 n (-.f64 n f) (pow.f64 f 2)))
(/.f64 (*.f64 (/.f64 1 (-.f64 n f)) (-.f64 (pow.f64 f 2) (pow.f64 n 2))) (-.f64 f n))
(/.f64 (*.f64 (+.f64 n f) -1) (neg.f64 (-.f64 n f)))
(/.f64 (*.f64 -1 (+.f64 n f)) (neg.f64 (-.f64 n f)))
(/.f64 (*.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (/.f64 1 (-.f64 n f))) (fma.f64 n (-.f64 n f) (pow.f64 f 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 1 (-.f64 n f))) (-.f64 f n))
(/.f64 (/.f64 (+.f64 n f) 1) (-.f64 n f))
(/.f64 (/.f64 (+.f64 n f) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (-.f64 n f)))
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 n f)) 3) (pow.f64 (+.f64 n f) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 n f) 3) (pow.f64 (/.f64 1 (-.f64 n f)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 n f) 3) (pow.f64 (-.f64 n f) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1))
(fma.f64 1 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 1 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 n (/.f64 1 (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 f (/.f64 1 (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 1 (-.f64 n f)) n (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 1 (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) f) (/.f64 n (-.f64 n f)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) n) (/.f64 f (-.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 1 (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (pow.f64 (cbrt.f64 f) 2) (*.f64 (cbrt.f64 f) (/.f64 1 (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (pow.f64 (-.f64 n f) -1/2) (*.f64 (pow.f64 (-.f64 n f) -1/2) f) (/.f64 n (-.f64 n f)))
(fma.f64 (pow.f64 (-.f64 n f) -1/2) (*.f64 (pow.f64 (-.f64 n f) -1/2) n) (/.f64 f (-.f64 n f)))
(fma.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (/.f64 1 (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (sqrt.f64 f) (*.f64 (sqrt.f64 f) (/.f64 1 (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 f (-.f64 n f)) 1 (*.f64 (/.f64 n (-.f64 n f)) 1))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 f (-.f64 n f))) (cbrt.f64 (/.f64 f (-.f64 n f)))) (cbrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 n (-.f64 n f))) (cbrt.f64 (/.f64 n (-.f64 n f)))) (cbrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (sqrt.f64 (/.f64 f (-.f64 n f))) (sqrt.f64 (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (sqrt.f64 (/.f64 n (-.f64 n f))) (sqrt.f64 (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (*.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 f)) (*.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 f)) (/.f64 n (-.f64 n f)))
(fma.f64 (*.f64 (sqrt.f64 f) (pow.f64 (-.f64 n f) -1/2)) (*.f64 (sqrt.f64 f) (pow.f64 (-.f64 n f) -1/2)) (/.f64 n (-.f64 n f)))
(fma.f64 (*.f64 (sqrt.f64 n) (pow.f64 (-.f64 n f) -1/2)) (*.f64 (sqrt.f64 n) (pow.f64 (-.f64 n f) -1/2)) (/.f64 f (-.f64 n f)))
(fma.f64 (*.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 n)) (*.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 n)) (/.f64 f (-.f64 n f)))
(fma.f64 (*.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f) (/.f64 n (-.f64 n f)))
(fma.f64 (*.f64 (/.f64 1 (-.f64 n f)) (sqrt.f64 f)) (sqrt.f64 f) (/.f64 n (-.f64 n f)))
(fma.f64 (*.f64 f (cbrt.f64 (pow.f64 (-.f64 n f) -2))) (/.f64 1 (cbrt.f64 (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (*.f64 f (pow.f64 (-.f64 n f) -1/2)) (pow.f64 (-.f64 n f) -1/2) (/.f64 n (-.f64 n f)))
(fma.f64 (*.f64 n (cbrt.f64 (pow.f64 (-.f64 n f) -2))) (/.f64 1 (cbrt.f64 (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (*.f64 n (pow.f64 (-.f64 n f) -1/2)) (pow.f64 (-.f64 n f) -1/2) (/.f64 f (-.f64 n f)))
(fma.f64 (*.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n) (/.f64 f (-.f64 n f)))
(fma.f64 (*.f64 (/.f64 1 (-.f64 n f)) (sqrt.f64 n)) (sqrt.f64 n) (/.f64 f (-.f64 n f)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 n f)))) 1)
(*.f64 1 (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 1 (-.f64 n f)) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (pow.f64 (-.f64 n f) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (/.f64 1 (cbrt.f64 (-.f64 n f))))
(*.f64 (pow.f64 (-.f64 n f) -1/2) (pow.f64 (-.f64 n f) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 n f)) -1))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 n f)) -1) (pow.f64 (sqrt.f64 (-.f64 n f)) -1))
(*.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 f (+.f64 n f) (pow.f64 n 2)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 n f))
(pow.f64 (-.f64 n f) -1)
(pow.f64 (/.f64 1 (-.f64 n f)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 n f)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 n f) -1/2) 2)
(neg.f64 (/.f64 -1 (-.f64 n f)))
(sqrt.f64 (pow.f64 (-.f64 n f) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 n f)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 n f))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 n f))))
(exp.f64 (neg.f64 (log.f64 (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (-.f64 n f)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 n f))) 1))
Outputs
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(fma.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 -2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (/.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)
(+.f64 (fma.f64 -2 (/.f64 n f) (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) -1)
(fma.f64 -2 (/.f64 n f) (fma.f64 -2 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1))
(fma.f64 -2 (+.f64 (/.f64 n f) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (pow.f64 (/.f64 n f) 3))) -1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (/.f64 f n) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 f n)))
(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 (+.f64 (/.f64 f n) (*.f64 f (/.f64 (-.f64 f (neg.f64 f)) (pow.f64 n 2)))) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (fma.f64 f (/.f64 (*.f64 f 2) (pow.f64 n 2)) (/.f64 f n)) (/.f64 f n)))
(fma.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2))) 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 (-.f64 (+.f64 (+.f64 (/.f64 f n) (*.f64 f (/.f64 (-.f64 f (neg.f64 f)) (pow.f64 n 2)))) (*.f64 (pow.f64 f 2) (/.f64 (-.f64 f (neg.f64 f)) (pow.f64 n 3)))) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (*.f64 2 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))) (+.f64 (/.f64 f n) (/.f64 f n))))
(+.f64 1 (*.f64 2 (+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (pow.f64 (/.f64 f n) 3)))))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(+.f64 1 (-.f64 (/.f64 f n) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (/.f64 f n) (/.f64 f n)))
(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 (+.f64 (/.f64 f n) (*.f64 f (/.f64 (-.f64 f (neg.f64 f)) (pow.f64 n 2)))) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (fma.f64 f (/.f64 (*.f64 f 2) (pow.f64 n 2)) (/.f64 f n)) (/.f64 f n)))
(fma.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2))) 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 (-.f64 (+.f64 (+.f64 (/.f64 f n) (*.f64 f (/.f64 (-.f64 f (neg.f64 f)) (pow.f64 n 2)))) (*.f64 (pow.f64 f 2) (/.f64 (-.f64 f (neg.f64 f)) (pow.f64 n 3)))) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (*.f64 2 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))) (+.f64 (/.f64 f n) (/.f64 f n))))
(+.f64 1 (*.f64 2 (+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (pow.f64 (/.f64 f n) 3)))))
1
(+.f64 1 (*.f64 2 (/.f64 f n)))
(+.f64 1 (-.f64 (/.f64 f n) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (/.f64 f n) (/.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 (+.f64 (/.f64 f n) (*.f64 f (/.f64 (-.f64 f (neg.f64 f)) (pow.f64 n 2)))) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (fma.f64 f (/.f64 (*.f64 f 2) (pow.f64 n 2)) (/.f64 f n)) (/.f64 f n)))
(fma.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2))) 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 (-.f64 (+.f64 (+.f64 (/.f64 f n) (*.f64 f (/.f64 (-.f64 f (neg.f64 f)) (pow.f64 n 2)))) (*.f64 (pow.f64 f 2) (/.f64 (-.f64 f (neg.f64 f)) (pow.f64 n 3)))) (/.f64 (neg.f64 f) n)))
(+.f64 1 (+.f64 (*.f64 2 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3)))) (+.f64 (/.f64 f n) (/.f64 f n))))
(+.f64 1 (*.f64 2 (+.f64 (/.f64 f n) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (pow.f64 (/.f64 f n) 3)))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(fma.f64 -2 (/.f64 n f) -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 (*.f64 -2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2))) -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 (fma.f64 -2 (/.f64 n f) (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) -1)
(fma.f64 -2 (/.f64 n f) (fma.f64 -2 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1))
(fma.f64 -2 (+.f64 (/.f64 n f) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (pow.f64 (/.f64 n f) 3))) -1)
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)) 1)
(fma.f64 -2 (/.f64 n f) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(+.f64 (*.f64 -2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) -1)
(fma.f64 -2 (+.f64 (/.f64 n f) (/.f64 (pow.f64 n 2) (pow.f64 f 2))) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 n (-.f64 n (*.f64 -1 n))) (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (-.f64 n (*.f64 -1 n))) (pow.f64 f 3))) (*.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f)))) 1)
(+.f64 (fma.f64 -2 (/.f64 n f) (*.f64 -2 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))))) -1)
(fma.f64 -2 (/.f64 n f) (fma.f64 -2 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1))
(fma.f64 -2 (+.f64 (/.f64 n f) (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (pow.f64 (/.f64 n f) 3))) -1)
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (/.f64 (neg.f64 n) (pow.f64 f 2)) (/.f64 1 f))
(fma.f64 -1 (/.f64 n (pow.f64 f 2)) (/.f64 -1 f))
(-.f64 (/.f64 -1 f) (/.f64 n (pow.f64 f 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(-.f64 (*.f64 -1 (+.f64 (/.f64 n (pow.f64 f 2)) (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(fma.f64 -1 (+.f64 (/.f64 n (pow.f64 f 2)) (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (/.f64 -1 f))
(-.f64 (/.f64 -1 f) (+.f64 (/.f64 n (pow.f64 f 2)) (/.f64 (pow.f64 n 2) (pow.f64 f 3))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (*.f64 -1 (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(-.f64 (fma.f64 -1 (/.f64 n (pow.f64 f 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 3)) (/.f64 (pow.f64 n 3) (pow.f64 f 4))))) (/.f64 1 f))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 n) (pow.f64 f 2)) (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (/.f64 (pow.f64 n 3) (pow.f64 f 4))) (/.f64 -1 f))
(-.f64 (fma.f64 -1 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 3)) (/.f64 (pow.f64 n 3) (pow.f64 f 4))) (/.f64 -1 f)) (/.f64 n (pow.f64 f 2)))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2))) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 3)) (/.f64 (pow.f64 f 3) (pow.f64 n 4)))))
(+.f64 (+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2))) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 3)) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(+.f64 (+.f64 (+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2))) (/.f64 (pow.f64 f 3) (pow.f64 n 4))) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2))) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 3)) (/.f64 (pow.f64 f 3) (pow.f64 n 4)))))
(+.f64 (+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2))) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 3)) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(+.f64 (+.f64 (+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2))) (/.f64 (pow.f64 f 3) (pow.f64 n 4))) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (/.f64 (pow.f64 f 2) (pow.f64 n 3))))
(+.f64 (+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2))) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))
(+.f64 (/.f64 1 n) (+.f64 (/.f64 f (pow.f64 n 2)) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 3)) (/.f64 (pow.f64 f 3) (pow.f64 n 4)))))
(+.f64 (+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2))) (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 3)) (/.f64 (pow.f64 f 3) (pow.f64 n 4))))
(+.f64 (+.f64 (+.f64 (/.f64 1 n) (/.f64 f (pow.f64 n 2))) (/.f64 (pow.f64 f 3) (pow.f64 n 4))) (/.f64 (pow.f64 f 2) (pow.f64 n 3)))
(/.f64 -1 f)
(-.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (/.f64 1 f))
(-.f64 (/.f64 (neg.f64 n) (pow.f64 f 2)) (/.f64 1 f))
(fma.f64 -1 (/.f64 n (pow.f64 f 2)) (/.f64 -1 f))
(-.f64 (/.f64 -1 f) (/.f64 n (pow.f64 f 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 n (pow.f64 f 2))) (*.f64 -1 (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(-.f64 (*.f64 -1 (+.f64 (/.f64 n (pow.f64 f 2)) (/.f64 (pow.f64 n 2) (pow.f64 f 3)))) (/.f64 1 f))
(fma.f64 -1 (+.f64 (/.f64 n (pow.f64 f 2)) (/.f64 (pow.f64 n 2) (pow.f64 f 3))) (/.f64 -1 f))
(-.f64 (/.f64 -1 f) (+.f64 (/.f64 n (pow.f64 f 2)) (/.f64 (pow.f64 n 2) (pow.f64 f 3))))
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(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(fma.f64 (*.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 f)) (*.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 f)) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(fma.f64 (*.f64 (sqrt.f64 f) (pow.f64 (-.f64 n f) -1/2)) (*.f64 (sqrt.f64 f) (pow.f64 (-.f64 n f) -1/2)) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(fma.f64 (*.f64 (sqrt.f64 n) (pow.f64 (-.f64 n f) -1/2)) (*.f64 (sqrt.f64 n) (pow.f64 (-.f64 n f) -1/2)) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(fma.f64 (*.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 n)) (*.f64 (pow.f64 (-.f64 n f) -1/2) (sqrt.f64 n)) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(fma.f64 (*.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(fma.f64 (*.f64 (/.f64 1 (-.f64 n f)) (sqrt.f64 f)) (sqrt.f64 f) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(fma.f64 (*.f64 f (cbrt.f64 (pow.f64 (-.f64 n f) -2))) (/.f64 1 (cbrt.f64 (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (/.f64 (*.f64 1 f) (cbrt.f64 (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (/.f64 f (cbrt.f64 (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (*.f64 f (pow.f64 (-.f64 n f) -1/2)) (pow.f64 (-.f64 n f) -1/2) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(fma.f64 (*.f64 n (cbrt.f64 (pow.f64 (-.f64 n f) -2))) (/.f64 1 (cbrt.f64 (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (/.f64 (*.f64 1 n) (cbrt.f64 (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (/.f64 n (cbrt.f64 (-.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (*.f64 n (pow.f64 (-.f64 n f) -1/2)) (pow.f64 (-.f64 n f) -1/2) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(fma.f64 (*.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(fma.f64 (*.f64 (/.f64 1 (-.f64 n f)) (sqrt.f64 n)) (sqrt.f64 n) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 n f)))) 1)
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 n f))))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 f n))))
(*.f64 1 (/.f64 1 (-.f64 n f)))
(/.f64 1 (-.f64 n f))
(/.f64 -1 (-.f64 f n))
(*.f64 (/.f64 1 (-.f64 n f)) 1)
(/.f64 1 (-.f64 n f))
(/.f64 -1 (-.f64 f n))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 n f))))
(/.f64 1 (-.f64 n f))
(/.f64 -1 (-.f64 f n))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) (cbrt.f64 (pow.f64 (-.f64 n f) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (/.f64 1 (cbrt.f64 (-.f64 n f))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (cbrt.f64 (-.f64 n f)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (/.f64 1 (cbrt.f64 (-.f64 n f))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 n f) -2)) (cbrt.f64 (-.f64 n f)))
(*.f64 (pow.f64 (-.f64 n f) -1/2) (pow.f64 (-.f64 n f) -1/2))
(/.f64 1 (-.f64 n f))
(/.f64 -1 (-.f64 f n))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 n f)) -1))
(/.f64 1 (-.f64 n f))
(/.f64 -1 (-.f64 f n))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 n f)) -1) (pow.f64 (sqrt.f64 (-.f64 n f)) -1))
(pow.f64 (sqrt.f64 (-.f64 n f)) -2)
(*.f64 (/.f64 1 (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 f (+.f64 n f) (pow.f64 n 2)))
(/.f64 (fma.f64 f (+.f64 n f) (pow.f64 n 2)) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 n f))
(/.f64 (*.f64 1 (+.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)))
(pow.f64 (-.f64 n f) -1)
(/.f64 1 (-.f64 n f))
(/.f64 -1 (-.f64 f n))
(pow.f64 (/.f64 1 (-.f64 n f)) 1)
(/.f64 1 (-.f64 n f))
(/.f64 -1 (-.f64 f n))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 n f))) 3)
(/.f64 1 (-.f64 n f))
(/.f64 -1 (-.f64 f n))
(pow.f64 (pow.f64 (/.f64 1 (-.f64 n f)) 3) 1/3)
(/.f64 1 (-.f64 n f))
(/.f64 -1 (-.f64 f n))
(pow.f64 (pow.f64 (-.f64 n f) -1/2) 2)
(/.f64 1 (-.f64 n f))
(/.f64 -1 (-.f64 f n))
(neg.f64 (/.f64 -1 (-.f64 n f)))
(/.f64 1 (-.f64 n f))
(/.f64 -1 (-.f64 f n))
(sqrt.f64 (pow.f64 (-.f64 n f) -2))
(/.f64 1 (-.f64 n f))
(/.f64 -1 (-.f64 f n))
(log.f64 (exp.f64 (/.f64 1 (-.f64 n f))))
(/.f64 1 (-.f64 n f))
(/.f64 -1 (-.f64 f n))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 n f)))))
(/.f64 1 (-.f64 n f))
(/.f64 -1 (-.f64 f n))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 n f)) 3))
(/.f64 1 (-.f64 n f))
(/.f64 -1 (-.f64 f n))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 n f))))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 f n))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 n f))))
(/.f64 1 (-.f64 n f))
(/.f64 -1 (-.f64 f n))
(exp.f64 (neg.f64 (log.f64 (-.f64 n f))))
(/.f64 1 (-.f64 n f))
(/.f64 -1 (-.f64 f n))
(exp.f64 (*.f64 (log.f64 (-.f64 n f)) -1))
(/.f64 1 (-.f64 n f))
(/.f64 -1 (-.f64 f n))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 n f))) 1))
(/.f64 1 (-.f64 n f))
(/.f64 -1 (-.f64 f n))

eval45.0ms (1.8%)

Compiler

Compiled 2890 to 1309 computations (54.7% saved)

prune24.0ms (1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1690169
Fresh000
Picked044
Done011
Total1695174
Accuracy
100.0%
Counts
174 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
52.6%
(+.f64 1 (*.f64 2 (/.f64 f n)))
99.7%
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
51.2%
1
48.3%
-1
Compiler

Compiled 70 to 43 computations (38.6% saved)

regimes67.0ms (2.8%)

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

3 calls:

60.0ms
n
4.0ms
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 16 to 10 computations (37.5% saved)

regimes53.0ms (2.2%)

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

2 calls:

44.0ms
f
8.0ms
n
Results
AccuracySegmentsBranch
80.9%5f
78.1%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes21.0ms (0.9%)

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

2 calls:

12.0ms
f
8.0ms
n
Results
AccuracySegmentsBranch
78.7%3f
77.2%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

2.0ms
n
2.0ms
f
Results
AccuracySegmentsBranch
48.3%1n
48.3%1f
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch31.0ms (1.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
2.6839233188985835e-27
2.9094204357302446e-26
18.0ms
-2.9676012997719996e-15
-3.3571770542247347e-21
Results
27.0ms239×256valid
0.0ms256valid
Compiler

Compiled 225 to 190 computations (15.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-div, time spent: 2.0ms, 31.0% of total-time
Operation ival-add, time spent: 2.0ms, 31.0% of total-time
Operation ival-sub, time spent: 1.0ms, 15.0% of total-time
Operation ival-neg, time spent: 1.0ms, 15.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch22.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
14.0ms
142672974575875.13
4630852347117147.0
8.0ms
-6.053413893663693e-52
-1.6612747747030963e-54
Results
19.0ms175×256valid
0.0ms256valid
Compiler

Compiled 103 to 98 computations (4.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-sub, time spent: 1.0ms, 21.0% of total-time
Operation ival-div, time spent: 1.0ms, 21.0% of total-time
Operation ival-add, time spent: 1.0ms, 21.0% of total-time
Operation ival-neg, time spent: 1.0ms, 21.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify6.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
031116
150116
253116
355116
456116
Stop Event
done
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -3050474404389211/324518553658426726783156020576256) (+.f64 1 (*.f64 2 (/.f64 f n))) (if (<=.f64 n 1080192345553827/348449143727040986586495598010130648530944) -1 (+.f64 1 (*.f64 2 (/.f64 f n)))))
(if (<=.f64 f -1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152) -1 (if (<=.f64 f 470000000000000) 1 -1))
-1
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -3050474404389211/324518553658426726783156020576256) (+.f64 1 (*.f64 2 (/.f64 f n))) (if (<=.f64 n 1080192345553827/348449143727040986586495598010130648530944) -1 (+.f64 1 (*.f64 2 (/.f64 f n)))))
(if (or (<=.f64 n -3050474404389211/324518553658426726783156020576256) (not (<=.f64 n 1080192345553827/348449143727040986586495598010130648530944))) (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(if (<=.f64 f -1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152) -1 (if (<=.f64 f 470000000000000) 1 -1))
-1
Compiler

Compiled 44 to 34 computations (22.7% saved)

soundness120.0ms (4.9%)

Rules
1162×fma-define
524×fma-neg
446×times-frac
264×div-sub
182×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028269
178217
2208217
3582217
41490217
52115217
62375217
72443217
82564217
Stop Event
saturated
Compiler

Compiled 69 to 25 computations (63.8% saved)

end0.0ms (0%)

preprocess43.0ms (1.8%)

Compiler

Compiled 96 to 68 computations (29.2% saved)

Profiling

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