subtraction fraction

Time bar (total: 2.8s)

analyze18.0ms (0.6%)

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: 8.0ms
Operation ival-add, time spent: 4.0ms, 52.0% of total-time
Operation ival-sub, time spent: 1.0ms, 13.0% of total-time
Operation ival-div, time spent: 1.0ms, 13.0% of total-time
Operation ival-neg, time spent: 1.0ms, 13.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample904.0ms (32.6%)

Results
845.0ms8255×256valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 259.0ms
Operation ival-div, time spent: 96.0ms, 37.0% of total-time
Operation ival-add, time spent: 61.0ms, 24.0% of total-time
Operation ival-sub, time spent: 51.0ms, 20.0% of total-time
Operation ival-neg, time spent: 43.0ms, 17.0% of total-time
Operation const, time spent: 9.0ms, 3.0% of total-time
Bogosity

preprocess228.0ms (8.2%)

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: 14.0ms
Operation ival-div, time spent: 4.0ms, 29.0% of total-time
Operation ival-add, time spent: 4.0ms, 29.0% of total-time
Operation ival-sub, time spent: 3.0ms, 22.0% of total-time
Operation ival-neg, time spent: 2.0ms, 15.0% of total-time
Operation const, time spent: 1.0ms, 7.0% 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)

localize30.0ms (1.1%)

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: 6.0ms
Operation ival-sub, time spent: 2.0ms, 35.0% of total-time
Operation ival-div, time spent: 2.0ms, 35.0% of total-time
Operation ival-add, time spent: 2.0ms, 35.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series5.0ms (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))

rewrite269.0ms (9.7%)

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 #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)))

simplify64.0ms (2.3%)

Algorithm
egg-herbie
Rules
1590×times-frac
1352×fma-define
650×associate-/r*
510×distribute-lft-in
496×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))

eval25.0ms (0.9%)

Compiler

Compiled 1610 to 764 computations (52.5% saved)

prune14.0ms (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))
52.9%
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
49.4%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
48.7%
#s(literal 1 binary64)
52.0%
#s(literal -1 binary64)
Compiler

Compiled 33 to 25 computations (24.2% saved)

localize186.0ms (6.7%)

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: 132.0ms
Operation ival-mult, time spent: 118.0ms, 89.0% of total-time
Operation ival-div, time spent: 10.0ms, 8.0% of total-time
Operation const, time spent: 2.0ms, 2.0% of total-time
Operation ival-sub, time spent: 1.0ms, 1.0% of total-time
Operation ival-add, time spent: 1.0ms, 1.0% of total-time

series9.0ms (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
2.0ms
f
@inf
(* 2 (/ f n))
1.0ms
n
@0
(* 2 (/ f n))
1.0ms
f
@0
(* 2 (/ f n))
1.0ms
n
@0
(* -2 (/ n f))
1.0ms
n
@inf
(* 2 (/ f n))

rewrite87.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
1500×unpow-prod-down
778×log-prod
660×log1p-expm1-u
660×expm1-log1p-u
352×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)))

simplify97.0ms (3.5%)

Algorithm
egg-herbie
Rules
1276×associate-*r*
1058×associate-*l*
968×cube-prod
742×exp-prod
734×fma-neg
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)

eval18.0ms (0.6%)

Compiler

Compiled 766 to 540 computations (29.5% saved)

prune52.0ms (1.9%)

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))
52.9%
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
49.4%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
48.7%
#s(literal 1 binary64)
52.0%
#s(literal -1 binary64)
Compiler

Compiled 66 to 45 computations (31.8% saved)

regimes12.0ms (0.4%)

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:

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

Compiled 16 to 10 computations (37.5% saved)

regimes49.0ms (1.8%)

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:

26.0ms
n
22.0ms
f
Results
AccuracySegmentsBranch
81.4%5f
78.1%5n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes70.0ms (2.5%)

Counts
3 → 7
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)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
#s(literal -1 binary64)
Calls

1 calls:

70.0ms
f
Results
AccuracySegmentsBranch
82.5%7f
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes54.0ms (1.9%)

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:

53.0ms
f
Results
AccuracySegmentsBranch
80.8%5f
Compiler

Compiled 3 to 2 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
#s(literal -1 binary64)
Outputs
#s(literal -1 binary64)
Calls

2 calls:

3.0ms
f
3.0ms
n
Results
AccuracySegmentsBranch
52.0%1n
52.0%1f
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch185.0ms (6.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
42.0ms
3.309102355751485e-71
1.9400827420088133e-62
66.0ms
-3.345717485328469e-89
-8.177992994587612e-93
14.0ms
-4.214757850185475e-51
-2.767477299094609e-53
62.0ms
-1.220245551315228e+19
-107572942901681780.0
Results
175.0ms495×256valid
0.0ms256valid
Compiler

Compiled 635 to 506 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
Operation ival-div, time spent: 55.0ms, 86.0% of total-time
Operation ival-sub, time spent: 3.0ms, 5.0% of total-time
Operation ival-add, time spent: 3.0ms, 5.0% of total-time
Operation ival-neg, time spent: 2.0ms, 3.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time

bsearch139.0ms (5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.3299058769585223e+87
1.7791436646926e+88
14.0ms
32722142.394559093
631560837.7310239
20.0ms
3.309102355751485e-71
1.9400827420088133e-62
16.0ms
-3.345717485328469e-89
-8.177992994587612e-93
62.0ms
-4.214757850185475e-51
-2.767477299094609e-53
14.0ms
-1.220245551315228e+19
-107572942901681780.0
Results
126.0ms703×256valid
0.0ms256valid
Compiler

Compiled 631 to 538 computations (14.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
Operation ival-div, time spent: 54.0ms, 79.0% of total-time
Operation ival-sub, time spent: 6.0ms, 9.0% of total-time
Operation ival-add, time spent: 5.0ms, 7.0% of total-time
Operation ival-neg, time spent: 3.0ms, 4.0% of total-time
Operation const, time spent: 1.0ms, 1.0% of total-time

bsearch43.0ms (1.6%)

Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
predicate-same
predicate-same
Steps
TimeLeftRight
2.0ms
3.309102355751485e-71
1.9400827420088133e-62
16.0ms
-3.345717485328469e-89
-8.177992994587612e-93
12.0ms
-4.214757850185475e-51
-2.767477299094609e-53
13.0ms
-1.220245551315228e+19
-107572942901681780.0
Results
37.0ms335×256valid
0.0ms256valid
Compiler

Compiled 183 to 178 computations (2.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
Operation ival-add, time spent: 4.0ms, 37.0% of total-time
Operation ival-div, time spent: 3.0ms, 28.0% of total-time
Operation ival-sub, time spent: 2.0ms, 19.0% of total-time
Operation ival-neg, time spent: 2.0ms, 19.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify18.0ms (0.7%)

Algorithm
egg-herbie
Rules
32×not-or
26×if-not
26×not-not
22×if-if-or-not
12×+-commutative
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
065391
190361
2105343
3130323
4146323
5164319
6173319
7180319
8182319
9183319
Stop Event
done
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f #s(literal -370000000000000000 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64)) (if (<=.f64 f #s(literal -6686066773453359/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (if (<=.f64 f #s(literal -8366682951131781/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64)) (if (<=.f64 f #s(literal 3794275180128377/118571099379011784113736688648896417641748464297615937576404566024103044751294464 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 -5600000000000000000 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal -2123095800038113/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (if (<=.f64 f #s(literal -4070960043382377/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 7225426368408531/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (if (<=.f64 f #s(literal 290000000 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 1350000000000000033554931254992206166679069758171335234928342507019998202064098539077632 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) #s(literal -1 binary64)))))))
(if (<=.f64 f #s(literal -1500000000000000000 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal -7548785066802179/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) #s(literal 1 binary64) (if (<=.f64 f #s(literal -4586997231980143/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 6216540455122333/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 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 -370000000000000000 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64)) (if (<=.f64 f #s(literal -6686066773453359/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (if (<=.f64 f #s(literal -8366682951131781/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64)) (if (<=.f64 f #s(literal 3794275180128377/118571099379011784113736688648896417641748464297615937576404566024103044751294464 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 -370000000000000000 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64)) (if (<=.f64 f #s(literal -6686066773453359/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (if (or (<=.f64 f #s(literal -8366682951131781/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (not (<=.f64 f #s(literal 3794275180128377/118571099379011784113736688648896417641748464297615937576404566024103044751294464 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 -370000000000000000 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64)) (if (or (<=.f64 f #s(literal -6686066773453359/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (not (or (<=.f64 f #s(literal -8366682951131781/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (not (<=.f64 f #s(literal 3794275180128377/118571099379011784113736688648896417641748464297615937576404566024103044751294464 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 -370000000000000000 binary64)) (not (or (<=.f64 f #s(literal -6686066773453359/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (not (or (<=.f64 f #s(literal -8366682951131781/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (not (<=.f64 f #s(literal 3794275180128377/118571099379011784113736688648896417641748464297615937576404566024103044751294464 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 -370000000000000000 binary64)) (not (or (<=.f64 f #s(literal -6686066773453359/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (and (not (<=.f64 f #s(literal -8366682951131781/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64))) (<=.f64 f #s(literal 3794275180128377/118571099379011784113736688648896417641748464297615937576404566024103044751294464 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 -370000000000000000 binary64)) (and (not (<=.f64 f #s(literal -6686066773453359/215679573337205118357336120696157045389097155380324579848828881993728 binary64))) (or (<=.f64 f #s(literal -8366682951131781/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (not (<=.f64 f #s(literal 3794275180128377/118571099379011784113736688648896417641748464297615937576404566024103044751294464 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 -5600000000000000000 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal -2123095800038113/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (if (<=.f64 f #s(literal -4070960043382377/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 7225426368408531/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (if (<=.f64 f #s(literal 290000000 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 1350000000000000033554931254992206166679069758171335234928342507019998202064098539077632 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) #s(literal -1 binary64)))))))
(if (<=.f64 f #s(literal -5600000000000000000 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal -2123095800038113/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (if (<=.f64 f #s(literal -4070960043382377/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) #s(literal -1 binary64) (if (or (<=.f64 f #s(literal 7225426368408531/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (not (or (<=.f64 f #s(literal 290000000 binary64)) (not (<=.f64 f #s(literal 1350000000000000033554931254992206166679069758171335234928342507019998202064098539077632 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) #s(literal -1 binary64)))))
(if (<=.f64 f #s(literal -5600000000000000000 binary64)) #s(literal -1 binary64) (if (or (<=.f64 f #s(literal -2123095800038113/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (not (or (<=.f64 f #s(literal -4070960043382377/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (not (or (<=.f64 f #s(literal 7225426368408531/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (and (not (<=.f64 f #s(literal 290000000 binary64))) (<=.f64 f #s(literal 1350000000000000033554931254992206166679069758171335234928342507019998202064098539077632 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) #s(literal -1 binary64)))
(if (<=.f64 f #s(literal -5600000000000000000 binary64)) #s(literal -1 binary64) (if (or (<=.f64 f #s(literal -2123095800038113/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (and (not (<=.f64 f #s(literal -4070960043382377/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64))) (or (<=.f64 f #s(literal 7225426368408531/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (and (not (<=.f64 f #s(literal 290000000 binary64))) (<=.f64 f #s(literal 1350000000000000033554931254992206166679069758171335234928342507019998202064098539077632 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) #s(literal -1 binary64)))
(if (<=.f64 f #s(literal -1500000000000000000 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal -7548785066802179/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) #s(literal 1 binary64) (if (<=.f64 f #s(literal -4586997231980143/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 6216540455122333/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))))
#s(literal -1 binary64)
Compiler

Compiled 106 to 82 computations (22.6% saved)

soundness121.0ms (4.4%)

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%)

preprocess68.0ms (2.4%)

Compiler

Compiled 216 to 158 computations (26.9% saved)

Profiling

Loading profile data...