subtraction fraction

Time bar (total: 2.6s)

analyze18.0ms (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: 6.0ms
Operation ival-add, time spent: 2.0ms, 35.0% of total-time
Operation ival-sub, time spent: 1.0ms, 17.0% of total-time
Operation ival-div, time spent: 1.0ms, 17.0% of total-time
Operation ival-neg, time spent: 1.0ms, 17.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample896.0ms (35%)

Results
826.0ms8255×256valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 256.0ms
Operation ival-div, time spent: 68.0ms, 27.0% of total-time
Operation ival-add, time spent: 64.0ms, 25.0% of total-time
Operation ival-neg, time spent: 63.0ms, 25.0% of total-time
Operation ival-sub, time spent: 51.0ms, 20.0% of total-time
Operation const, time spent: 10.0ms, 4.0% of total-time
Bogosity

preprocess204.0ms (8%)

Algorithm
egg-herbie
Rules
581×fma-define
262×fmm-def
223×times-frac
132×div-sub
91×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: 66.0ms
Operation ival-add, time spent: 54.0ms, 82.0% of total-time
Operation ival-div, time spent: 4.0ms, 6.0% of total-time
Operation ival-neg, time spent: 4.0ms, 6.0% of total-time
Operation ival-sub, time spent: 3.0ms, 5.0% of total-time
Operation const, time spent: 1.0ms, 2.0% 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)

localize32.0ms (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)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
Operation ival-div, time spent: 3.0ms, 46.0% 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 const, time spent: 0.0ms, 0.0% of total-time

series4.0ms (0.2%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 f n) (-.f64 n f))>
Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 f (+.f64 (*.f64 f (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 n f)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 (*.f64 n (-.f64 (*.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 n f)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 (*.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 2 binary64)))) (/.f64 n f))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 n (*.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 n (/.f64 (*.f64 n (-.f64 n (*.f64 #s(literal -1 binary64) n))) f)) (*.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 n (*.f64 #s(literal -1 binary64) n))) f)) (*.f64 n (-.f64 n (*.f64 #s(literal -1 binary64) n)))) f))) (*.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 n (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) f)))) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 n (-.f64 (*.f64 n (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) f)))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 #s(literal -1 binary64) (/.f64 f n)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 f n) (/.f64 (*.f64 f (-.f64 f (*.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 f n)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 f n) (/.f64 (*.f64 (pow.f64 f #s(literal 2 binary64)) (-.f64 f (*.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 f n)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 f (-.f64 f (*.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 #s(literal -1 binary64) (/.f64 f n)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 f (*.f64 #s(literal -1 binary64) f))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 f (-.f64 f (*.f64 #s(literal -1 binary64) f))) n))) n)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 f (*.f64 #s(literal -1 binary64) f))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 f (-.f64 f (*.f64 #s(literal -1 binary64) f))) (/.f64 (*.f64 (pow.f64 f #s(literal 2 binary64)) (-.f64 f (*.f64 #s(literal -1 binary64) f))) n)) n))) n)))>
Calls

6 calls:

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

rewrite211.0ms (8.2%)

Algorithm
batch-egg-rewrite
Rules
790×log1p-expm1-u
790×expm1-log1p-u
758×prod-diff
348×log-prod
302×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 #s(literal 0 binary64) (/.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)))) #s(literal 1 binary64))
(*.f64 (+.f64 f n) (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.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))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 #s(literal 1 binary64) (-.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 #s(literal 1 binary64) (-.f64 n f))))
(*.f64 (neg.f64 (+.f64 f n)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 2 binary64)) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64)))) (+.f64 f n))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 f (+.f64 f n) (pow.f64 n #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) #s(literal -1 binary64))
(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)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) #s(literal 3 binary64)) (pow.f64 (-.f64 n f) #s(literal 3 binary64))))
(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))) #s(literal 1 binary64)))

simplify84.0ms (3.3%)

Algorithm
egg-herbie
Rules
795×times-frac
676×fma-define
327×associate-/r*
255×distribute-lft-in
248×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02262900
16162722
218872523
Stop Event
node limit
Counts
65 → 98
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(+.f64 #s(literal 1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))
(+.f64 #s(literal 1 binary64) (*.f64 f (+.f64 (*.f64 f (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 (*.f64 n (-.f64 (*.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 (*.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 2 binary64)))) (/.f64 n f))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 n (*.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 n (/.f64 (*.f64 n (-.f64 n (*.f64 #s(literal -1 binary64) n))) f)) (*.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 n (*.f64 #s(literal -1 binary64) n))) f)) (*.f64 n (-.f64 n (*.f64 #s(literal -1 binary64) n)))) f))) (*.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
(-.f64 (*.f64 n (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) f)))) #s(literal 1 binary64))
(-.f64 (*.f64 n (-.f64 (*.f64 n (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) f)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 #s(literal -1 binary64) (/.f64 f n)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 f n) (/.f64 (*.f64 f (-.f64 f (*.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 f n)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 f n) (/.f64 (*.f64 (pow.f64 f #s(literal 2 binary64)) (-.f64 f (*.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 f n)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 f (-.f64 f (*.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 2 binary64))))))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 #s(literal -1 binary64) (/.f64 f n)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 f (*.f64 #s(literal -1 binary64) f))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 f (-.f64 f (*.f64 #s(literal -1 binary64) f))) n))) n)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 f (*.f64 #s(literal -1 binary64) f))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 f (-.f64 f (*.f64 #s(literal -1 binary64) f))) (/.f64 (*.f64 (pow.f64 f #s(literal 2 binary64)) (-.f64 f (*.f64 #s(literal -1 binary64) f))) n)) n))) n)))
(+.f64 #s(literal 0 binary64) (/.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)))) #s(literal 1 binary64))
(*.f64 (+.f64 f n) (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.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))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 #s(literal 1 binary64) (-.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 #s(literal 1 binary64) (-.f64 n f))))
(*.f64 (neg.f64 (+.f64 f n)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 2 binary64)) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64)))) (+.f64 f n))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 f (+.f64 f n) (pow.f64 n #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) #s(literal -1 binary64))
(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)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) #s(literal 3 binary64)) (pow.f64 (-.f64 n f) #s(literal 3 binary64))))
(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))) #s(literal 1 binary64)))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 f (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))
(+.f64 #s(literal 1 binary64) (*.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) n))))
(fma.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 f (+.f64 (*.f64 f (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))
(+.f64 #s(literal 1 binary64) (*.f64 f (fma.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 n #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) n))))
(fma.f64 f (fma.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 n #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 n f) #s(literal -1 binary64)) (/.f64 n f))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 (*.f64 n (-.f64 (*.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 n f) (*.f64 n (/.f64 (-.f64 (neg.f64 n) n) (pow.f64 f #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(-.f64 (fma.f64 n (*.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 n f) #s(literal -1 binary64))) (/.f64 n f))
(fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 (*.f64 #s(literal -1 binary64) n) n)) (pow.f64 f #s(literal 2 binary64)))) (/.f64 n f))))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 n f) (*.f64 (pow.f64 n #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 n) n) (pow.f64 f #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 n (/.f64 (-.f64 (neg.f64 n) n) (pow.f64 f #s(literal 2 binary64)))) (/.f64 n f))))
(-.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 3 binary64)))) (/.f64 (neg.f64 n) f)) (-.f64 (/.f64 n f) (*.f64 n (*.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64))))))) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 n #s(literal 3 binary64))) (neg.f64 (pow.f64 f #s(literal 3 binary64)))) (fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 n (*.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 n f) #s(literal -1 binary64)) (/.f64 n f))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 n (/.f64 (*.f64 n (-.f64 n (*.f64 #s(literal -1 binary64) n))) f)) (*.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (-.f64 (*.f64 n (/.f64 (-.f64 n (neg.f64 n)) f)) (neg.f64 n))) f) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (fma.f64 n (/.f64 (*.f64 #s(literal 2 binary64) n) f) n)) f) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal 2 binary64))) f))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 n (*.f64 #s(literal -1 binary64) n))) f)) (*.f64 n (-.f64 n (*.f64 #s(literal -1 binary64) n)))) f))) (*.f64 #s(literal -1 binary64) n)) f)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) (/.f64 (-.f64 n (neg.f64 n)) f))) (*.f64 n (-.f64 n (neg.f64 n)))) f)) (neg.f64 n))) f) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (-.f64 n (/.f64 (+.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) (*.f64 (/.f64 n f) #s(literal -2 binary64))) (*.f64 n (*.f64 n #s(literal -2 binary64)))) f))) f) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) n) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (+.f64 (/.f64 (pow.f64 n #s(literal 2 binary64)) f) n)) f)) f))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
(-.f64 (/.f64 (neg.f64 n) f) (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 n f) #s(literal -1 binary64)) (/.f64 n f))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(-.f64 (*.f64 n (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) f)))) #s(literal 1 binary64))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 n f) (*.f64 n (/.f64 (-.f64 (neg.f64 n) n) (pow.f64 f #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 n f)))
(-.f64 (fma.f64 n (*.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 n f) #s(literal -1 binary64))) (/.f64 n f))
(fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
(-.f64 (*.f64 n (-.f64 (*.f64 n (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) f)))) #s(literal 1 binary64))
(fma.f64 n (-.f64 (*.f64 n (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 f #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) f)) #s(literal -1 binary64))
(fma.f64 n (fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (pow.f64 f #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 f #s(literal 2 binary64)))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 #s(literal -1 binary64) (/.f64 f n)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 f n) (/.f64 (*.f64 f (-.f64 f (*.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 f n)))
(+.f64 #s(literal 1 binary64) (*.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) n))))
(fma.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 f n) (/.f64 (*.f64 (pow.f64 f #s(literal 2 binary64)) (-.f64 f (*.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 f n)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 f (-.f64 f (*.f64 #s(literal -1 binary64) f))) (pow.f64 n #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 f (fma.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 n #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) n))))
(fma.f64 f (fma.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 n #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 #s(literal -1 binary64) (/.f64 f n)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 f (*.f64 #s(literal -1 binary64) f))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 f (-.f64 f (*.f64 #s(literal -1 binary64) f))) n))) n)))
(+.f64 #s(literal 1 binary64) (*.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) n))))
(fma.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f (pow.f64 n #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 f (*.f64 #s(literal -1 binary64) f))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 f (-.f64 f (*.f64 #s(literal -1 binary64) f))) (/.f64 (*.f64 (pow.f64 f #s(literal 2 binary64)) (-.f64 f (*.f64 #s(literal -1 binary64) f))) n)) n))) n)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 f (neg.f64 f)) (neg.f64 (/.f64 (fma.f64 f (-.f64 f (neg.f64 f)) (*.f64 (pow.f64 f #s(literal 2 binary64)) (/.f64 (-.f64 f (neg.f64 f)) n))) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (*.f64 #s(literal 2 binary64) f)) (/.f64 (fma.f64 f (*.f64 #s(literal 2 binary64) f) (*.f64 (pow.f64 f #s(literal 2 binary64)) (*.f64 f (/.f64 #s(literal 2 binary64) n)))) n)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (*.f64 f (*.f64 f (+.f64 #s(literal 2 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n))))) n)) n))
(+.f64 #s(literal 0 binary64) (/.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 (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 #s(literal 2 binary64) (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)))) #s(literal 1 binary64))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (+.f64 f n) (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal 1 binary64))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 #s(literal 1 binary64) (/.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))) #s(literal 2 binary64)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 f n)) (/.f64 #s(literal 1 binary64) (-.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 #s(literal 1 binary64) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (neg.f64 (+.f64 f n)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))) (/.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)) #s(literal 2 binary64)))
(/.f64 (+.f64 f n) (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) (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)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.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)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))) (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)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 2 binary64)) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) (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)) #s(literal 1 binary64)) (/.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)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64))) (/.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)) #s(literal 2 binary64)))
(/.f64 (+.f64 f n) (*.f64 (pow.f64 (cbrt.f64 (-.f64 n f)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64)))) (+.f64 f n))
(*.f64 (+.f64 f n) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 f n) (+.f64 f n)) (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) #s(literal 6 binary64)) (-.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 f #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 f (+.f64 f n) (pow.f64 n #s(literal 2 binary64))))
(*.f64 (+.f64 f n) (/.f64 (fma.f64 f (+.f64 f n) (pow.f64 n #s(literal 2 binary64))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal 1 binary64))
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) #s(literal 3 binary64))
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) #s(literal 2 binary64))
(/.f64 (+.f64 f n) (-.f64 n f))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) #s(literal -1 binary64))
(/.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)) #s(literal 2 binary64)))
(/.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 #s(literal 1 binary64) (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)) #s(literal 3 binary64)))
(/.f64 (+.f64 f n) (-.f64 n f))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 f n) #s(literal 3 binary64)) (pow.f64 (-.f64 n f) #s(literal 3 binary64))))
(/.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))) #s(literal 1 binary64)))
(/.f64 (+.f64 f n) (-.f64 n f))

eval66.0ms (2.6%)

Compiler

Compiled 1610 to 764 computations (52.5% saved)

prune13.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New94498
Fresh000
Picked011
Done000
Total94599
Accuracy
100.0%
Counts
99 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
49.2%
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
53.5%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
52.1%
#s(literal 1 binary64)
47.7%
#s(literal -1 binary64)
Compiler

Compiled 33 to 25 computations (24.2% saved)

localize73.0ms (2.8%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 #s(literal -2 binary64) (/.f64 n f))
100.0%
(*.f64 #s(literal 2 binary64) (/.f64 f n))
Compiler

Compiled 43 to 23 computations (46.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
Operation ival-mult, time spent: 8.0ms, 44.0% of total-time
Operation ival-div, time spent: 5.0ms, 28.0% of total-time
Operation ival-add, time spent: 3.0ms, 17.0% of total-time
Operation const, time spent: 2.0ms, 11.0% of total-time
Operation ival-sub, time spent: 1.0ms, 6.0% of total-time

series6.0ms (0.3%)

Counts
2 → 0
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 2 binary64) (/.f64 f n))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 n f))>
Outputs
Calls

12 calls:

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

rewrite82.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
750×unpow-prod-down
660×log1p-expm1-u
660×expm1-log1p-u
389×log-prod
176×pow-unpow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01338
113938
2182138
Stop Event
node limit
Counts
2 → 61
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (/.f64 f n))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
Outputs
(+.f64 (/.f64 f n) (/.f64 f n))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 f n))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 f n)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 f n)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 f n)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 n f))
(/.f64 #s(literal 1 binary64) (/.f64 n (*.f64 #s(literal 2 binary64) f)))
(/.f64 (*.f64 #s(literal 2 binary64) f) n)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) f)) (neg.f64 n))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 f)) (neg.f64 n))
(/.f64 (*.f64 (neg.f64 f) #s(literal 2 binary64)) (neg.f64 n))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) f) #s(literal 1 binary64)) n)
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) f) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64))) (cbrt.f64 n))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) f) (sqrt.f64 n)) (sqrt.f64 n))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n))) #s(literal 2 binary64))
(pow.f64 (/.f64 n (*.f64 #s(literal 2 binary64) f)) #s(literal -1 binary64))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 f n)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 n f))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 n f)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 n f)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 n f)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)))) #s(literal 1 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 f n))
(/.f64 #s(literal 1 binary64) (/.f64 f (*.f64 n #s(literal -2 binary64))))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(/.f64 (neg.f64 (*.f64 n #s(literal -2 binary64))) (neg.f64 f))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 n)) (neg.f64 f))
(/.f64 (*.f64 (neg.f64 n) #s(literal -2 binary64)) (neg.f64 f))
(/.f64 (/.f64 (*.f64 n #s(literal -2 binary64)) #s(literal 1 binary64)) f)
(/.f64 (/.f64 (*.f64 n #s(literal -2 binary64)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64))) (cbrt.f64 f))
(/.f64 (/.f64 (*.f64 n #s(literal -2 binary64)) (sqrt.f64 f)) (sqrt.f64 f))
(pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 f n) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))) #s(literal 2 binary64))
(pow.f64 (/.f64 f (*.f64 n #s(literal -2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 f n) #s(literal -2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 n f)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)))) #s(literal 2 binary64)))

simplify71.0ms (2.8%)

Algorithm
egg-herbie
Rules
638×associate-*r*
529×associate-*l*
484×cube-prod
371×exp-prod
367×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01561323
13091323
28251317
351041317
Stop Event
node limit
Counts
61 → 71
Calls
Call 1
Inputs
(+.f64 (/.f64 f n) (/.f64 f n))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 f n))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 f n)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 f n)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 f n)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 n f))
(/.f64 #s(literal 1 binary64) (/.f64 n (*.f64 #s(literal 2 binary64) f)))
(/.f64 (*.f64 #s(literal 2 binary64) f) n)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) f)) (neg.f64 n))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 f)) (neg.f64 n))
(/.f64 (*.f64 (neg.f64 f) #s(literal 2 binary64)) (neg.f64 n))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) f) #s(literal 1 binary64)) n)
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) f) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64))) (cbrt.f64 n))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) f) (sqrt.f64 n)) (sqrt.f64 n))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n))) #s(literal 2 binary64))
(pow.f64 (/.f64 n (*.f64 #s(literal 2 binary64) f)) #s(literal -1 binary64))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 f n)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 n f))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 n f)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 n f)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 n f)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)))) #s(literal 1 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 f n))
(/.f64 #s(literal 1 binary64) (/.f64 f (*.f64 n #s(literal -2 binary64))))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(/.f64 (neg.f64 (*.f64 n #s(literal -2 binary64))) (neg.f64 f))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 n)) (neg.f64 f))
(/.f64 (*.f64 (neg.f64 n) #s(literal -2 binary64)) (neg.f64 f))
(/.f64 (/.f64 (*.f64 n #s(literal -2 binary64)) #s(literal 1 binary64)) f)
(/.f64 (/.f64 (*.f64 n #s(literal -2 binary64)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64))) (cbrt.f64 f))
(/.f64 (/.f64 (*.f64 n #s(literal -2 binary64)) (sqrt.f64 f)) (sqrt.f64 f))
(pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 f n) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))) #s(literal 2 binary64))
(pow.f64 (/.f64 f (*.f64 n #s(literal -2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 f n) #s(literal -2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 n f)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)))) #s(literal 2 binary64)))
Outputs
(+.f64 (/.f64 f n) (/.f64 f n))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 f n))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 f n)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (/.f64 #s(literal 2 binary64) n))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (/.f64 #s(literal 2 binary64) n)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 f n)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 f n)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 f n)))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (exp.f64 (/.f64 f n)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)))) #s(literal 1 binary64))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(/.f64 #s(literal 2 binary64) (/.f64 n f))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (*.f64 #s(literal 2 binary64) f)))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(/.f64 (*.f64 #s(literal 2 binary64) f) n)
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) f)) (neg.f64 n))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 f)) (neg.f64 n))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(/.f64 (*.f64 (neg.f64 f) #s(literal 2 binary64)) (neg.f64 n))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) f) #s(literal 1 binary64)) n)
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) f) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64))) (cbrt.f64 n))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) f) (sqrt.f64 n)) (sqrt.f64 n))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)) #s(literal 1 binary64))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n))) #s(literal 3 binary64))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(pow.f64 (*.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n))) #s(literal 2 binary64))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(pow.f64 (/.f64 n (*.f64 #s(literal 2 binary64) f)) #s(literal -1 binary64))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 f n)))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)))))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)) #s(literal 3 binary64)))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n))))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n))))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n))))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n))) #s(literal 1 binary64)))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)))) #s(literal 3 binary64)))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)))) #s(literal 2 binary64)))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(*.f64 f (/.f64 #s(literal 2 binary64) n))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 n f))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 n f)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (/.f64 #s(literal -2 binary64) f))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (/.f64 #s(literal -2 binary64) f)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 n f)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 n f)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 n f)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (/.f64 #s(literal -2 binary64) f)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)))) #s(literal 1 binary64))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(/.f64 #s(literal -2 binary64) (/.f64 f n))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(/.f64 #s(literal 1 binary64) (/.f64 f (*.f64 n #s(literal -2 binary64))))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (neg.f64 (*.f64 n #s(literal -2 binary64))) (neg.f64 f))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 n)) (neg.f64 f))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(/.f64 (*.f64 (neg.f64 n) #s(literal -2 binary64)) (neg.f64 f))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(/.f64 (/.f64 (*.f64 n #s(literal -2 binary64)) #s(literal 1 binary64)) f)
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(/.f64 (/.f64 (*.f64 n #s(literal -2 binary64)) (pow.f64 (cbrt.f64 f) #s(literal 2 binary64))) (cbrt.f64 f))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(/.f64 (/.f64 (*.f64 n #s(literal -2 binary64)) (sqrt.f64 f)) (sqrt.f64 f))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))) #s(literal 3 binary64))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(pow.f64 (*.f64 (pow.f64 (/.f64 f n) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal -2 binary64))))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))) #s(literal 2 binary64))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(pow.f64 (/.f64 f (*.f64 n #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 f n) #s(literal -2 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal -2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 n f)))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)))))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(cbrt.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 3 binary64)))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(log1p.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f))) #s(literal 1 binary64)))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)))) #s(literal 3 binary64)))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)))) #s(literal 1/3 binary64)))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)))) #s(literal 2 binary64)))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 n #s(literal -2 binary64)) f)

eval25.0ms (1%)

Compiler

Compiled 766 to 540 computations (29.5% saved)

prune13.0ms (0.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New71071
Fresh000
Picked044
Done011
Total71576
Accuracy
100.0%
Counts
76 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
49.2%
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
53.5%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
52.1%
#s(literal 1 binary64)
47.7%
#s(literal -1 binary64)
Compiler

Compiled 66 to 45 computations (31.8% saved)

regimes64.0ms (2.5%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
(/.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:

60.0ms
f
2.0ms
n
1.0ms
(/.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)

regimes103.0ms (4%)

Counts
4 → 5
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
Outputs
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
Calls

2 calls:

97.0ms
f
6.0ms
n
Results
AccuracySegmentsBranch
81.0%5f
78.5%5n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.2%)

Counts
3 → 5
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
Outputs
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
#s(literal -1 binary64)
Calls

1 calls:

5.0ms
f
Results
AccuracySegmentsBranch
80.1%5f
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes56.0ms (2.2%)

Counts
2 → 5
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
Calls

1 calls:

56.0ms
f
Results
AccuracySegmentsBranch
79.7%5f
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
Outputs
#s(literal -1 binary64)
Calls

2 calls:

1.0ms
f
1.0ms
n
Results
AccuracySegmentsBranch
47.7%1n
47.7%1f
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch74.0ms (2.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
33.0ms
1.996413705013071e+137
2.85899440860349e+139
8.0ms
2.35855351616889e+102
3.7735100950112895e+102
18.0ms
0.2831722228796845
14503970.526172077
16.0ms
-2.049038102271189e-137
-2.0457119136570656e-140
Results
64.0ms447×256valid
0.0ms256valid
Compiler

Compiled 575 to 458 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
Operation ival-div, time spent: 4.0ms, 33.0% of total-time
Operation ival-sub, time spent: 3.0ms, 25.0% of total-time
Operation ival-add, time spent: 3.0ms, 25.0% of total-time
Operation ival-neg, time spent: 2.0ms, 17.0% of total-time
Operation const, time spent: 1.0ms, 8.0% of total-time

bsearch58.0ms (2.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
1.996413705013071e+137
2.85899440860349e+139
8.0ms
2.35855351616889e+102
3.7735100950112895e+102
19.0ms
0.2831722228796845
14503970.526172077
16.0ms
-2.049038102271189e-137
-2.0457119136570656e-140
Results
50.0ms447×256valid
0.0ms256valid
Compiler

Compiled 407 to 346 computations (15% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
Operation ival-div, time spent: 5.0ms, 38.0% of total-time
Operation ival-sub, time spent: 3.0ms, 23.0% of total-time
Operation ival-add, time spent: 3.0ms, 23.0% of total-time
Operation ival-neg, time spent: 2.0ms, 15.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch100.0ms (3.9%)

Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
narrow-enough
predicate-same
Steps
TimeLeftRight
69.0ms
1.996413705013071e+137
2.85899440860349e+139
6.0ms
2.35855351616889e+102
3.7735100950112895e+102
19.0ms
0.2831722228796845
14503970.526172077
6.0ms
-2.049038102271189e-137
-2.0457119136570656e-140
Results
92.0ms351×256valid
0.0ms256valid
Compiler

Compiled 191 to 186 computations (2.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
Operation ival-div, time spent: 59.0ms, 90.0% of total-time
Operation ival-sub, time spent: 2.0ms, 3.0% of total-time
Operation ival-add, time spent: 2.0ms, 3.0% of total-time
Operation ival-neg, time spent: 2.0ms, 3.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify14.0ms (0.5%)

Algorithm
egg-herbie
Rules
20×not-or
18×if-not
18×if-if-or-not
10×not-not
+-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051341
173311
287293
3108285
4119285
5129285
6132285
7135285
Stop Event
done
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f #s(literal -1057959844472033/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64)) (if (<=.f64 f #s(literal 38 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (if (<=.f64 f #s(literal 3700000000000000225910221837524396872367223155482380085466079354850699173358908230046752422414952431616 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64)) (if (<=.f64 f #s(literal 200000000000000006568312497840985215797402513271922339102462685251749401379757599108800263125545482536789900956864487115729698126842298368 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))))))
(if (<=.f64 f #s(literal -1057959844472033/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 7800000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (if (<=.f64 f #s(literal 3700000000000000225910221837524396872367223155482380085466079354850699173358908230046752422414952431616 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 200000000000000006568312497840985215797402513271922339102462685251749401379757599108800263125545482536789900956864487115729698126842298368 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) #s(literal -1 binary64)))))
(if (<=.f64 f #s(literal -8379879956214123/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 24000 binary64)) #s(literal 1 binary64) (if (<=.f64 f #s(literal 3500000000000000106169510082028669007832292574792340059126042460567371122806756024496225910385306238976 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 200000000000000006568312497840985215797402513271922339102462685251749401379757599108800263125545482536789900956864487115729698126842298368 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))))
#s(literal -1 binary64)
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f #s(literal -1057959844472033/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64)) (if (<=.f64 f #s(literal 38 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (if (<=.f64 f #s(literal 3700000000000000225910221837524396872367223155482380085466079354850699173358908230046752422414952431616 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64)) (if (<=.f64 f #s(literal 200000000000000006568312497840985215797402513271922339102462685251749401379757599108800263125545482536789900956864487115729698126842298368 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))))))
(if (<=.f64 f #s(literal -1057959844472033/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64)) (if (<=.f64 f #s(literal 38 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (if (or (<=.f64 f #s(literal 3700000000000000225910221837524396872367223155482380085466079354850699173358908230046752422414952431616 binary64)) (not (<=.f64 f #s(literal 200000000000000006568312497840985215797402513271922339102462685251749401379757599108800263125545482536789900956864487115729698126842298368 binary64)))) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))))))
(if (<=.f64 f #s(literal -1057959844472033/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64)) (if (or (<=.f64 f #s(literal 38 binary64)) (not (or (<=.f64 f #s(literal 3700000000000000225910221837524396872367223155482380085466079354850699173358908230046752422414952431616 binary64)) (not (<=.f64 f #s(literal 200000000000000006568312497840985215797402513271922339102462685251749401379757599108800263125545482536789900956864487115729698126842298368 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))))
(if (or (<=.f64 f #s(literal -1057959844472033/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 binary64)) (not (or (<=.f64 f #s(literal 38 binary64)) (not (or (<=.f64 f #s(literal 3700000000000000225910221837524396872367223155482380085466079354850699173358908230046752422414952431616 binary64)) (not (<=.f64 f #s(literal 200000000000000006568312497840985215797402513271922339102462685251749401379757599108800263125545482536789900956864487115729698126842298368 binary64)))))))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))))
(if (or (<=.f64 f #s(literal -1057959844472033/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 binary64)) (not (or (<=.f64 f #s(literal 38 binary64)) (and (not (<=.f64 f #s(literal 3700000000000000225910221837524396872367223155482380085466079354850699173358908230046752422414952431616 binary64))) (<=.f64 f #s(literal 200000000000000006568312497840985215797402513271922339102462685251749401379757599108800263125545482536789900956864487115729698126842298368 binary64)))))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))))
(if (<=.f64 f #s(literal -1057959844472033/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 7800000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (if (<=.f64 f #s(literal 3700000000000000225910221837524396872367223155482380085466079354850699173358908230046752422414952431616 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 200000000000000006568312497840985215797402513271922339102462685251749401379757599108800263125545482536789900956864487115729698126842298368 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) #s(literal -1 binary64)))))
(if (<=.f64 f #s(literal -1057959844472033/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 binary64)) #s(literal -1 binary64) (if (or (<=.f64 f #s(literal 7800000 binary64)) (not (or (<=.f64 f #s(literal 3700000000000000225910221837524396872367223155482380085466079354850699173358908230046752422414952431616 binary64)) (not (<=.f64 f #s(literal 200000000000000006568312497840985215797402513271922339102462685251749401379757599108800263125545482536789900956864487115729698126842298368 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) #s(literal -1 binary64)))
(if (<=.f64 f #s(literal -1057959844472033/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 binary64)) #s(literal -1 binary64) (if (or (<=.f64 f #s(literal 7800000 binary64)) (and (not (<=.f64 f #s(literal 3700000000000000225910221837524396872367223155482380085466079354850699173358908230046752422414952431616 binary64))) (<=.f64 f #s(literal 200000000000000006568312497840985215797402513271922339102462685251749401379757599108800263125545482536789900956864487115729698126842298368 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) #s(literal -1 binary64)))
(if (<=.f64 f #s(literal -8379879956214123/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 24000 binary64)) #s(literal 1 binary64) (if (<=.f64 f #s(literal 3500000000000000106169510082028669007832292574792340059126042460567371122806756024496225910385306238976 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 200000000000000006568312497840985215797402513271922339102462685251749401379757599108800263125545482536789900956864487115729698126842298368 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))))
#s(literal -1 binary64)
Compiler

Compiled 97 to 75 computations (22.7% saved)

soundness122.0ms (4.8%)

Rules
581×fma-define
262×fmm-def
223×times-frac
132×div-sub
91×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%)

preprocess159.0ms (6.2%)

Compiler

Compiled 198 to 144 computations (27.3% saved)

Profiling

Loading profile data...