Data.Colour.SRGB:invTransferFunction from colour-2.3.3

Time bar (total: 4.1s)

analyze65.0ms (1.6%)

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 10 to 7 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 3.0ms (78.9% of total)
ival-div: 1.0ms (26.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.6s (39.2%)

Results
795.0ms8255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 462.0ms
ival-add: 325.0ms (70.4% of total)
ival-div: 124.0ms (26.8% of total)
const: 10.0ms (2.2% of total)
backward-pass: 3.0ms (0.6% of total)
Bogosity

preprocess136.0ms (3.3%)

Algorithm
egg-herbie
Rules
677×fma-neg
226×times-frac
150×associate-*r*
147×div-sub
119×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024220
153196
2101196
3228196
4648196
51555196
62283196
72674196
82842196
92909196
102929196
112937196
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 (neg.f64 x) y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) #s(literal 1 binary64)))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (+.f64 y #s(literal 1 binary64))))
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) #s(literal 1 binary64))))
(/.f64 (+.f64 y x) (+.f64 x #s(literal 1 binary64)))
Outputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 (neg.f64 x) y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 y (neg.f64 x)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 y x) (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) #s(literal 1 binary64)))
(/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 y x) (+.f64 y #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (+.f64 y #s(literal 1 binary64))))
(/.f64 (+.f64 y (neg.f64 x)) (neg.f64 (+.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 y x) (-.f64 #s(literal -1 binary64) y))
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) #s(literal 1 binary64))))
(/.f64 (-.f64 x y) (neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 y))))
(/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 y x) (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x y) (+.f64 x #s(literal 1 binary64)))

explain112.0ms (2.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(+.f64 x y)
00-0-#s(literal 1 binary64)
00-0-y
00-0-(+.f64 y #s(literal 1 binary64))
00-0-(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
95.0ms512×0valid
Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-add: 7.0ms (57.8% of total)
ival-div: 4.0ms (33% of total)
const: 1.0ms (8.3% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Rules
1-exp
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01160
11960
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(+.f64 x y)
x
y
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(+.f64 x y)
x
y
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)

localize63.0ms (1.5%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
accuracy100.0%
(+.f64 y #s(literal 1 binary64))
accuracy100.0%
(+.f64 x y)
Results
55.0ms256×0valid
Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (57.5% of total)
ival-div: 2.0ms (38.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.3%)

Counts
3 → 54
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))>
#<alt (+.f64 x y)>
#<alt (+.f64 y #s(literal 1 binary64))>
Outputs
#<alt (/.f64 y (+.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))))>
#<alt (/.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x #s(literal 1 binary64)))) x)))>
#<alt (+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))) x)))>
#<alt #s(literal 1 binary64)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) y)))) y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) y)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))) y)))) y)))>
#<alt y>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt x>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 #s(literal 1 binary64) y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ (+ x y) (+ y 1))
1.0ms
x
@inf
(/ (+ x y) (+ y 1))
1.0ms
x
@0
(/ (+ x y) (+ y 1))
0.0ms
y
@inf
(/ (+ x y) (+ y 1))
0.0ms
y
@-inf
(/ (+ x y) (+ y 1))

rewrite390.0ms (9.5%)

Algorithm
batch-egg-rewrite
Rules
755×log1p-expm1-u
755×expm1-log1p-u
565×prod-diff
336×log-prod
243×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151
113751
2201751
Stop Event
node limit
Counts
3 → 141
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(+.f64 x y)
(+.f64 y #s(literal 1 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (+.f64 y #s(literal 1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 (+.f64 x y) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 (cbrt.f64 (+.f64 x y)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 x y) (+.f64 (neg.f64 y) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (+.f64 x y)) (+.f64 y #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)) #s(literal -3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))))
(exp.f64 (-.f64 (log.f64 (+.f64 x y)) (log1p.f64 y)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 x y)) (log1p.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 (+.f64 x y)) (log1p.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log.f64 (+.f64 x y)) (log1p.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (+.f64 x y)) (log1p.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 y) (log.f64 (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 y #s(literal 1 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) y))
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 y #s(literal 1 binary64))))
(exp.f64 (log1p.f64 y))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 y)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 y)) #s(literal 2 binary64)))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))

simplify126.0ms (3.1%)

Algorithm
egg-herbie
Rules
697×fma-define
502×associate-/r*
373×distribute-rgt-in
373×distribute-lft-in
201×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03926256
19205538
226865003
Stop Event
node limit
Counts
195 → 212
Calls
Call 1
Inputs
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))))
x
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x #s(literal 1 binary64)))) x)))
(+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))) x)))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) y)))) y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) y)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))) y)))) y)))
y
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
x
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (+.f64 y #s(literal 1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 (+.f64 x y) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 (cbrt.f64 (+.f64 x y)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 x y) (+.f64 (neg.f64 y) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (+.f64 x y)) (+.f64 y #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)) #s(literal -3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))))
(exp.f64 (-.f64 (log.f64 (+.f64 x y)) (log1p.f64 y)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 x y)) (log1p.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 (+.f64 x y)) (log1p.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log.f64 (+.f64 x y)) (log1p.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (+.f64 x y)) (log1p.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 y) (log.f64 (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 y #s(literal 1 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) y))
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 y #s(literal 1 binary64))))
(exp.f64 (log1p.f64 y))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 y)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 y)) #s(literal 2 binary64)))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 (+.f64 y x) (+.f64 y #s(literal 1 binary64)))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 (+.f64 y x) (+.f64 y #s(literal 1 binary64)))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 (+.f64 y x) (+.f64 y #s(literal 1 binary64)))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))))
(*.f64 x (+.f64 (/.f64 y (*.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(fma.f64 x (/.f64 y (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))))
(*.f64 x (+.f64 (/.f64 y (*.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(fma.f64 x (/.f64 y (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))))
(*.f64 x (+.f64 (/.f64 y (*.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(fma.f64 x (/.f64 y (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))))
(*.f64 x (+.f64 (/.f64 y (*.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(fma.f64 x (/.f64 y (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))))
(*.f64 x (+.f64 (/.f64 y (*.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(fma.f64 x (/.f64 y (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))))
(*.f64 x (+.f64 (/.f64 y (*.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(fma.f64 x (/.f64 y (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
x
(+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x #s(literal 1 binary64)))) x)))
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) x))))
(fma.f64 y (-.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x) x)
(fma.f64 y (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) x)
(+.f64 x (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (+.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))) x)))
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (+.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) x))))
(fma.f64 y (-.f64 (fma.f64 y (+.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)) x) x)
(fma.f64 y (-.f64 (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) x) x)
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x y))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (+.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y) (/.f64 #s(literal 1 binary64) y)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) y)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) y)))) y)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) y)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) y))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
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(+.f64 y #s(literal 1 binary64))
(log.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))))
(+.f64 y #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y #s(literal 1 binary64)))))
(+.f64 y #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)))
(+.f64 y #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 y #s(literal 1 binary64))))
(+.f64 y #s(literal 1 binary64))
(log1p.f64 (expm1.f64 (+.f64 y #s(literal 1 binary64))))
(+.f64 y #s(literal 1 binary64))
(exp.f64 (log1p.f64 y))
(+.f64 y #s(literal 1 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 y)) #s(literal 3 binary64)))
(+.f64 y #s(literal 1 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 y)) #s(literal 1/3 binary64)))
(+.f64 y #s(literal 1 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 y)) #s(literal 2 binary64)))
(+.f64 y #s(literal 1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))

eval30.0ms (0.7%)

Compiler

Compiled 2835 to 629 computations (77.8% saved)

prune28.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2084212
Fresh000
Picked011
Done000
Total2085213
Accuracy
100.0%
Counts
213 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
51.5%
(/.f64 y (+.f64 y #s(literal 1 binary64)))
50.3%
(/.f64 x (+.f64 y #s(literal 1 binary64)))
38.8%
x
40.3%
#s(literal 1 binary64)
Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 y (+.f64 y #s(literal 1 binary64)))
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 x (+.f64 y #s(literal 1 binary64)))
Rules
1-exp
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01177
11877
Stop Event
saturated
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(/.f64 x (+.f64 y #s(literal 1 binary64)))
x
(+.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(/.f64 y (+.f64 y #s(literal 1 binary64)))
y
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
x
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
x
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
y
#s(literal 1 binary64)
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
y
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)

localize197.0ms (4.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 y #s(literal 1 binary64))
accuracy100.0%
(/.f64 y (+.f64 y #s(literal 1 binary64)))
accuracy100.0%
(+.f64 y #s(literal 1 binary64))
accuracy100.0%
(/.f64 x (+.f64 y #s(literal 1 binary64)))
Results
187.0ms256×0valid
Compiler

Compiled 26 to 7 computations (73.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 4.0ms (66.1% of total)
ival-add: 2.0ms (33% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts
2 → 36
Calls
Call 1
Inputs
#<alt (/.f64 x (+.f64 y #s(literal 1 binary64)))>
#<alt (/.f64 y (+.f64 y #s(literal 1 binary64)))>
Outputs
#<alt (/.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 x y) x)))>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1 binary64) x))) x)))>
#<alt (/.f64 x y)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))) y)>
#<alt (/.f64 (-.f64 (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y)) y)>
#<alt (/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))) y)>
#<alt (/.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 x y) x) y))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 x y) x) y)) x) y))) y))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 y #s(literal 1 binary64)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))) y)))>
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(/ y (+ y 1))
1.0ms
x
@inf
(/ x (+ y 1))
0.0ms
x
@-inf
(/ x (+ y 1))
0.0ms
x
@0
(/ x (+ y 1))
0.0ms
y
@inf
(/ x (+ y 1))

rewrite215.0ms (5.2%)

Algorithm
batch-egg-rewrite
Rules
676×log1p-expm1-u
676×expm1-log1p-u
641×unpow-prod-down
344×log-prod
162×pow2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01138
113238
2183438
Stop Event
node limit
Counts
2 → 174
Calls
Call 1
Inputs
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 x (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) (pow.f64 (pow.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (+.f64 y #s(literal 1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (/.f64 x (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 (pow.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 y #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 y)))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 x) (log1p.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log.f64 x) (log1p.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 x) (log1p.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 y) (log.f64 x)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 y (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) (pow.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (+.f64 y #s(literal 1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (+.f64 y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 y) (pow.f64 (/.f64 (sqrt.f64 y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
(*.f64 (neg.f64 y) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) y)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (/.f64 y (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) y) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 y (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 (pow.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) y) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #s(literal -1 binary64)))
(pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 y (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 y) (+.f64 y #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(exp.f64 (-.f64 (log.f64 y) (log1p.f64 y)))
(exp.f64 (*.f64 (-.f64 (log.f64 y) (log1p.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 y) (log1p.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log.f64 y) (log1p.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 y) (log1p.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 y) (log.f64 y)) #s(literal -1 binary64)))

simplify174.0ms (4.2%)

Algorithm
egg-herbie
Rules
802×fma-define
715×times-frac
275×distribute-lft-in
232×distribute-rgt-in
215×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05336810
111016571
227916441
Stop Event
node limit
Counts
210 → 292
Calls
Call 1
Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 x (*.f64 y (-.f64 (*.f64 x y) x)))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1 binary64) x))) x)))
(/.f64 x y)
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))) y)
(/.f64 (-.f64 (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y)) y)
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(/.f64 x y)
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(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (/.f64 y (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) y) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 y (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 (pow.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) y) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #s(literal -1 binary64)))
(pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 y (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 y) (+.f64 y #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(exp.f64 (-.f64 (log.f64 y) (log1p.f64 y)))
(exp.f64 (*.f64 (-.f64 (log.f64 y) (log1p.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 y) (log1p.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log.f64 y) (log1p.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 y) (log1p.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 y) (log.f64 y)) #s(literal -1 binary64)))
Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 x (*.f64 (neg.f64 x) y))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+.f64 x (*.f64 y (-.f64 (*.f64 x y) x)))
(fma.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))) x)
(+.f64 x (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1 binary64) x))) x)))
(+.f64 x (*.f64 y (fma.f64 y (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 x y) x)) (neg.f64 x))))
(fma.f64 y (-.f64 (*.f64 y (-.f64 x (*.f64 x y))) x) x)
(fma.f64 y (fma.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)) (neg.f64 x)) x)
(/.f64 x y)
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))) y)
(/.f64 (+.f64 x (/.f64 (neg.f64 x) y)) y)
(/.f64 (-.f64 x (/.f64 x y)) y)
(/.f64 (-.f64 (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y)) y)
(/.f64 (+.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 x y))) y)
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) y)
(/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))) y)
(/.f64 (+.f64 x (-.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 x y)))) y)
(/.f64 (-.f64 (-.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (-.f64 (/.f64 x y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) y)
(/.f64 (+.f64 (-.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 x y) x) y)) y)
(/.f64 x y)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) y))
(/.f64 (+.f64 x (/.f64 (neg.f64 x) y)) y)
(/.f64 (-.f64 x (/.f64 x y)) y)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 x y) x) y))) y))
(/.f64 (+.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 x y))) y)
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) y)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 x y) x) y)) x) y))) y))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 x y) x) y)) x) y))) y))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y))) y)
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y)) y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(-.f64 y (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 y #s(literal 1 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(*.f64 y (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y #s(literal -1 binary64)) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (+.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)))))
(*.f64 y (fma.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))) y)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y))
(+.f64 #s(literal 0 binary64) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y))))
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(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 y (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(/.f64 (/.f64 y (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 y (sqrt.f64 (+.f64 #s(literal 1 binary64) y))))
(/.f64 (/.f64 y (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (+.f64 #s(literal 1 binary64) y))))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 y (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (/.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 y (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y))) (cbrt.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64)))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal -3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal -3 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) y) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) (cbrt.f64 (*.f64 y (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 7 binary64)) (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y))))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)))) (cbrt.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)))) (cbrt.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)))) (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 5 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y)) #s(literal 2 binary64))))
(/.f64 (cbrt.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (cbrt.f64 y)) #s(literal -1 binary64)))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 y)) #s(literal -1 binary64)))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) (cbrt.f64 y))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) (cbrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) (cbrt.f64 y)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (+.f64 #s(literal 1 binary64) y))))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 y (cbrt.f64 (+.f64 #s(literal 1 binary64) y))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (cbrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (cbrt.f64 y))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (cbrt.f64 y)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (cbrt.f64 y)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 y)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) #s(literal -2 binary64))
(pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(pow.f64 (cbrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(pow.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(pow.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal -3 binary64)))
(pow.f64 (sqrt.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -1 binary64))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(neg.f64 (/.f64 y (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(neg.f64 (/.f64 (neg.f64 y) (+.f64 y #s(literal 1 binary64))))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(sqrt.f64 (pow.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(log.f64 (exp.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))))))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -3 binary64)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal -3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(expm1.f64 (log1p.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(exp.f64 (-.f64 (log.f64 y) (log1p.f64 y)))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(exp.f64 (*.f64 (-.f64 (log.f64 y) (log1p.f64 y)) #s(literal 1 binary64)))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 y) (log1p.f64 y))) #s(literal 3 binary64)))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log.f64 y) (log1p.f64 y))) #s(literal 1/3 binary64)))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 y) (log1p.f64 y))) #s(literal 2 binary64)))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(exp.f64 (*.f64 (-.f64 (log1p.f64 y) (log.f64 y)) #s(literal -1 binary64)))
(/.f64 y (+.f64 #s(literal 1 binary64) y))

eval50.0ms (1.2%)

Compiler

Compiled 4920 to 959 computations (80.5% saved)

prune284.0ms (6.9%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New3822384
Fresh000
Picked044
Done011
Total3827389
Accuracy
100.0%
Counts
389 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
51.5%
(/.f64 y (+.f64 y #s(literal 1 binary64)))
50.3%
(/.f64 x (+.f64 y #s(literal 1 binary64)))
13.8%
(/.f64 x y)
13.8%
y
38.8%
x
40.3%
#s(literal 1 binary64)
Compiler

Compiled 37 to 26 computations (29.7% saved)

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
Stop Event
saturated
Calls
Call 1
Inputs
y
(/.f64 x y)
x
y
Outputs
y
(/.f64 x y)
x
y

localize15.0ms (0.4%)

Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x y)
Results
11.0ms256×0valid
Compiler

Compiled 9 to 4 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 3.0ms (87.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts
1 → 0
Calls
Call 1
Inputs
#<alt (/.f64 x y)>
Outputs
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ x y)
0.0ms
y
@-inf
(/ x y)
0.0ms
x
@0
(/ x y)
0.0ms
x
@-inf
(/ x y)
0.0ms
y
@0
(/ x y)

rewrite65.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
341×log1p-expm1-u
341×expm1-log1p-u
328×add-exp-log
319×add-log-exp
317×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
17113
291513
Stop Event
node limit
Counts
1 → 72
Calls
Call 1
Inputs
(/.f64 x y)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 x (sqrt.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)) (/.f64 x (cbrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 x y))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x y) (cbrt.f64 (/.f64 x y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (cbrt.f64 (/.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 5/2 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (cbrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 x y) x)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 5 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/6 binary64)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 x y)))
(pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x y)))) (sqrt.f64 (log.f64 (/.f64 x y))))
(neg.f64 (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) y))
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 x y)))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))

simplify85.0ms (2.1%)

Algorithm
egg-herbie
Rules
412×distribute-lft-neg-out
346×associate-/r/
316×associate-/l/
279×distribute-rgt-neg-out
254×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02191829
13861778
29311742
332421728
Stop Event
node limit
Counts
72 → 97
Calls
Call 1
Inputs
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 x (sqrt.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)) (/.f64 x (cbrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 x y))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x y) (cbrt.f64 (/.f64 x y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (cbrt.f64 (/.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 5/2 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (cbrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 x y) x)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 5 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/6 binary64)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 x y)))
(pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x y)))) (sqrt.f64 (log.f64 (/.f64 x y))))
(neg.f64 (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) y))
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 x y)))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(/.f64 x y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(/.f64 x y)
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
(*.f64 x (sqrt.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(*.f64 (/.f64 x y) (log.f64 (E.f64)))
(/.f64 x y)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
(*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))))
(/.f64 x y)
(*.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (cbrt.f64 (/.f64 x y)))
(/.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(/.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(/.f64 x y)
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(/.f64 x y)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (/.f64 x y) y)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) (fabs.f64 (/.f64 (sqrt.f64 x) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 x y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 x y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 x y)
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 y)))
(*.f64 x (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 y)))
(*.f64 x (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)) (/.f64 x (cbrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal -2 binary64)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(/.f64 x y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(/.f64 x y)
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(/.f64 x y)
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(/.f64 x y)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 x y))
(/.f64 x y)
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(/.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) (cbrt.f64 y))
(/.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (cbrt.f64 y))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x y) (cbrt.f64 (/.f64 x y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (cbrt.f64 (/.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 5/2 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 y (cbrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64))) (/.f64 (cbrt.f64 x) y))
(/.f64 (/.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)))
(/.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) y))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 x) y))
(/.f64 (/.f64 (sqrt.f64 x) y) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) x) #s(literal -1 binary64)))
(/.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 x)) #s(literal -1 binary64)))
(/.f64 x y)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) x) #s(literal -1 binary64)))
(/.f64 x y)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 x)) #s(literal -1 binary64)))
(/.f64 x y)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal -1 binary64)))
(/.f64 x y)
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(/.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) (cbrt.f64 y))
(/.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (cbrt.f64 y))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (cbrt.f64 (/.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 5/2 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (cbrt.f64 (/.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 x y) x)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 5 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 5 binary64))))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(/.f64 x y)
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x y))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x y)
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(/.f64 x y)
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 x y)
(pow.f64 (E.f64) (log.f64 (/.f64 x y)))
(/.f64 x y)
(pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 x y)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x y)))) (sqrt.f64 (log.f64 (/.f64 x y))))
(neg.f64 (/.f64 x (neg.f64 y)))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(/.f64 x y)
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x y))
(log.f64 (exp.f64 (/.f64 x y)))
(/.f64 x y)
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(/.f64 x y)
(expm1.f64 (log1p.f64 (/.f64 x y)))
(/.f64 x y)
(log1p.f64 (expm1.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (log.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) #s(literal 3 binary64)))
(/.f64 x y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 x y))) #s(literal 1/3 binary64)))
(/.f64 x y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64)))
(/.f64 x y)
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(/.f64 x y)

eval12.0ms (0.3%)

Compiler

Compiled 941 to 263 computations (72.1% saved)

prune20.0ms (0.5%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New97097
Fresh000
Picked022
Done055
Total977104
Accuracy
100.0%
Counts
104 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
51.5%
(/.f64 y (+.f64 y #s(literal 1 binary64)))
50.3%
(/.f64 x (+.f64 y #s(literal 1 binary64)))
13.8%
(/.f64 x y)
13.8%
y
38.8%
x
40.3%
#s(literal 1 binary64)
Compiler

Compiled 62 to 35 computations (43.5% saved)

regimes9.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
y
(/.f64 x y)
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Outputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Calls

3 calls:

3.0ms
y
3.0ms
x
3.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.2%)

Counts
6 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
y
(/.f64 x y)
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
Outputs
#s(literal 1 binary64)
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
78.8%3x
79.4%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
y
(/.f64 x y)
(/.f64 x (+.f64 y #s(literal 1 binary64)))
Outputs
#s(literal 1 binary64)
(/.f64 x (+.f64 y #s(literal 1 binary64)))
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
78.9%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
4 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
y
(/.f64 x y)
Outputs
#s(literal 1 binary64)
(/.f64 x y)
x
#s(literal 1 binary64)
Calls

2 calls:

3.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
55.7%3x
77.2%4y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0.1%)

Counts
3 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
y
Outputs
#s(literal 1 binary64)
x
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
75.1%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (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
x
1.0ms
y
Results
AccuracySegmentsBranch
40.3%1x
40.3%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch67.0ms (1.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
2.232247221086312e-44
3.522836303316929e-41
51.0ms
-1.1075602761632897e+43
-1.908903497202733e+32
Results
13.0ms288×0valid
Compiler

Compiled 262 to 206 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 3.0ms (51.9% of total)
ival-div: 2.0ms (34.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
2.7364795694396577e+23
3.134913946304466e+25
16.0ms
-1.1075602761632897e+43
-1.908903497202733e+32
Results
16.0ms272×0valid
Compiler

Compiled 218 to 180 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 6.0ms (69.4% of total)
ival-div: 2.0ms (23.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch41.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
8.976939619119968e-8
2.342093728691059
10.0ms
-0.0006782452830300167
-9.08844283718512e-8
16.0ms
-1.1075602761632897e+43
-1.908903497202733e+32
Results
21.0ms432×0valid
Compiler

Compiled 266 to 209 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 5.0ms (55.5% of total)
ival-div: 3.0ms (33.3% of total)
const: 1.0ms (11.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
8.976939619119968e-8
2.342093728691059
12.0ms
-3.6442003083948706
-0.004797059476205347
Results
15.0ms272×0valid
Compiler

Compiled 150 to 129 computations (14% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 5.0ms (67.9% of total)
ival-div: 2.0ms (27.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify6.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
044222
160222
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -2150000000000000024796091688784232448 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 3432790011539591/98079714615416886934934209737619787751599303819750539264 binary64)) (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -92000000000000000951219586616124243968 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 429999999999999987417088 binary64)) (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -200000000000000010732324408786944 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal -760928193040519/1152921504606846976 binary64)) (/.f64 x y) (if (<=.f64 y #s(literal 5404319552844595/4503599627370496 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 2476979795053773/1125899906842624 binary64)) x #s(literal 1 binary64)))
#s(literal 1 binary64)
Outputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -2150000000000000024796091688784232448 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 3432790011539591/98079714615416886934934209737619787751599303819750539264 binary64)) (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -92000000000000000951219586616124243968 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 429999999999999987417088 binary64)) (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -200000000000000010732324408786944 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal -760928193040519/1152921504606846976 binary64)) (/.f64 x y) (if (<=.f64 y #s(literal 5404319552844595/4503599627370496 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 2476979795053773/1125899906842624 binary64)) x #s(literal 1 binary64)))
#s(literal 1 binary64)

soundness158.0ms (3.8%)

Rules
697×fma-define
502×associate-/r*
373×distribute-rgt-in
373×distribute-lft-in
201×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03926256
19205538
226865003
Stop Event
done
node limit
Compiler

Compiled 97 to 50 computations (48.5% saved)

preprocess42.0ms (1%)

Compiler

Compiled 164 to 84 computations (48.8% saved)

end0.0ms (0%)

Profiling

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