Statistics.Sample:$swelfordMean from math-functions-0.1.5.2

Time bar (total: 5.7s)

analyze48.0ms (0.8%)

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
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sub: 4.0ms (41.6% of total)
ival-add: 3.0ms (31.2% of total)
ival-div: 2.0ms (20.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.3s (22.3%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 362.0ms
ival-sub: 222.0ms (61.2% of total)
ival-add: 67.0ms (18.5% of total)
ival-div: 63.0ms (17.4% of total)
const: 8.0ms (2.2% of total)
backward-pass: 3.0ms (0.8% of total)
Bogosity

preprocess309.0ms (5.5%)

Algorithm
egg-herbie
Rules
1190×fma-define
791×fma-neg
260×distribute-rgt-in
238×times-frac
236×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036377
188341
2249341
3788341
42040341
54196341
64648341
74847341
84925341
94941341
105636341
115636341
125728341
136129341
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (neg.f64 x) (/.f64 (-.f64 y (neg.f64 x)) z))
(+.f64 x (/.f64 (-.f64 (neg.f64 y) x) z))
(+.f64 x (/.f64 (-.f64 y x) (neg.f64 z)))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (-.f64 y (neg.f64 x)) z)))
(neg.f64 (+.f64 x (/.f64 (-.f64 (neg.f64 y) x) z)))
(neg.f64 (+.f64 x (/.f64 (-.f64 y x) (neg.f64 z))))
(+.f64 y (/.f64 (-.f64 x y) z))
(+.f64 z (/.f64 (-.f64 y z) x))
(+.f64 x (/.f64 (-.f64 z x) y))
Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(+.f64 (neg.f64 x) (/.f64 (-.f64 y (neg.f64 x)) z))
(-.f64 (/.f64 (+.f64 x y) z) x)
(+.f64 x (/.f64 (-.f64 (neg.f64 y) x) z))
(-.f64 x (/.f64 (+.f64 x y) z))
(+.f64 x (/.f64 (-.f64 y x) (neg.f64 z)))
(-.f64 x (/.f64 (-.f64 y x) z))
(+.f64 x (/.f64 (-.f64 x y) z))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (-.f64 y (neg.f64 x)) z)))
(+.f64 x (/.f64 (-.f64 (neg.f64 y) x) z))
(-.f64 x (/.f64 (+.f64 x y) z))
(neg.f64 (+.f64 x (/.f64 (-.f64 (neg.f64 y) x) z)))
(+.f64 (neg.f64 x) (/.f64 (-.f64 y (neg.f64 x)) z))
(-.f64 (/.f64 (+.f64 x y) z) x)
(neg.f64 (+.f64 x (/.f64 (-.f64 y x) (neg.f64 z))))
(-.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 y (/.f64 (-.f64 x y) z))
(+.f64 z (/.f64 (-.f64 y z) x))
(+.f64 x (/.f64 (-.f64 z x) y))

explain61.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(+.f64 x (/.f64 (-.f64 y x) z))
00-0-z
00-0-(/.f64 (-.f64 y x) z)
00-0-y
00-0-(-.f64 y x)
Results
36.0ms512×0valid
Compiler

Compiled 54 to 20 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (38.3% of total)
ival-sub: 3.0ms (28.7% of total)
ival-add: 3.0ms (28.7% of total)
const: 1.0ms (9.6% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (/.f64 (-.f64 x y) z))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify71.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (-.f64 x y) z)
cost-diff0
(-.f64 x (/.f64 (-.f64 x y) z))
Rules
440×fma-neg
407×fma-define
75×div-sub
67×sub-neg
67×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01278
12078
23678
38178
420078
546678
6104178
7170378
8188778
9202478
10211478
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 (-.f64 x y) z))
x
(/.f64 (-.f64 x y) z)
(-.f64 x y)
y
z
Outputs
(-.f64 x (/.f64 (-.f64 x y) z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(/.f64 (-.f64 x y) z)
(-.f64 x y)
y
z

localize22.0ms (0.4%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 x (/.f64 (-.f64 x y) z))
accuracy100.0%
(-.f64 x y)
accuracy100.0%
(/.f64 (-.f64 x y) z)
Results
16.0ms256×0valid
Compiler

Compiled 22 to 7 computations (68.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 4.0ms (64.4% of total)
ival-div: 2.0ms (32.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.2%)

Counts
3 → 81
Calls
Call 1
Inputs
#<alt (-.f64 x (/.f64 (-.f64 x y) z))>
#<alt (/.f64 (-.f64 x y) z)>
#<alt (-.f64 x y)>
Outputs
#<alt (/.f64 y z)>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))>
#<alt (-.f64 x (/.f64 x z))>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt (/.f64 y z)>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))>
#<alt (/.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 (-.f64 y x) z)>
#<alt (/.f64 (-.f64 (+.f64 y (*.f64 x z)) x) z)>
#<alt (/.f64 (-.f64 (+.f64 y (*.f64 x z)) x) z)>
#<alt (/.f64 (-.f64 (+.f64 y (*.f64 x z)) x) z)>
#<alt x>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (/.f64 x z)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 x z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt x>
#<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 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
Calls

24 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(/ (- x y) z)
1.0ms
x
@inf
(- x (/ (- x y) z))
1.0ms
y
@0
(- x (/ (- x y) z))
1.0ms
x
@-inf
(/ (- x y) z)
1.0ms
x
@0
(- x (/ (- x y) z))

rewrite246.0ms (4.3%)

Algorithm
batch-egg-rewrite
Rules
976×log1p-expm1-u
976×expm1-log1p-u
437×log-prod
360×fma-define
174×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01266
115666
2250466
Stop Event
node limit
Counts
3 → 245
Calls
Call 1
Inputs
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 (-.f64 x y) z)
(-.f64 x y)
Outputs
(+.f64 x (/.f64 (-.f64 x y) (neg.f64 z)))
(+.f64 x (*.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 1 binary64)))
(+.f64 (-.f64 x (/.f64 (-.f64 x y) z)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (-.f64 x y) (/.f64 (-.f64 x y) z)))
(+.f64 (-.f64 x (/.f64 (-.f64 x y) z)) (fma.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 1 binary64) (/.f64 (-.f64 x y) z)))
(+.f64 (-.f64 x (/.f64 (-.f64 x y) z)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 x y) z))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) z)))
(+.f64 (-.f64 x (/.f64 (-.f64 x y) z)) (+.f64 (/.f64 (-.f64 x y) (neg.f64 z)) (/.f64 (-.f64 x y) z)))
(+.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x)
(+.f64 #s(literal 0 binary64) (-.f64 x (/.f64 (-.f64 x y) z)))
(+.f64 (-.f64 x (/.f64 x z)) (/.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x (/.f64 (-.f64 x y) z)))) (cbrt.f64 (exp.f64 (-.f64 x (/.f64 (-.f64 x y) z)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (/.f64 (-.f64 x y) z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (/.f64 (-.f64 x y) z))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (/.f64 (-.f64 x y) z))))))
(*.f64 (-.f64 x (/.f64 (-.f64 x y) z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 x y) z)))
(*.f64 (cbrt.f64 (-.f64 x (/.f64 (-.f64 x y) z))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (-.f64 x y) z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (-.f64 x y) z))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (/.f64 (-.f64 x y) z))))
(*.f64 (sqrt.f64 (-.f64 x (/.f64 (-.f64 x y) z))) (sqrt.f64 (-.f64 x (/.f64 (-.f64 x y) z))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x y) z) (+.f64 x (/.f64 (-.f64 x y) z)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 x y) z))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 x y) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x y) z) (+.f64 x (/.f64 (-.f64 x y) z)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (-.f64 x y) z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 x y) z) (+.f64 x (/.f64 (-.f64 x y) z)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64))) (+.f64 x (/.f64 (-.f64 x y) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (-.f64 x y) z) (+.f64 x (/.f64 (-.f64 x y) z)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (/.f64 (-.f64 x y) z))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (/.f64 (-.f64 x y) (neg.f64 z)) (/.f64 (-.f64 x y) (neg.f64 z))) (*.f64 x (/.f64 (-.f64 x y) (neg.f64 z))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (neg.f64 z)) (/.f64 (-.f64 x y) (neg.f64 z)))) (+.f64 x (/.f64 (-.f64 x y) z)))
(pow.f64 (-.f64 x (/.f64 (-.f64 x y) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (-.f64 x y) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x (/.f64 (-.f64 x y) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (-.f64 x y) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (-.f64 x y) z)) #s(literal 2 binary64)))
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(fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (/.f64 y z)))
(+.f64 x (neg.f64 y))
(+.f64 x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (-.f64 x y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 x y) (+.f64 (neg.f64 y) y))
(+.f64 (neg.f64 y) x)
(+.f64 #s(literal 0 binary64) (-.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x y))) (cbrt.f64 (exp.f64 (-.f64 x y))))) (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 x y) #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 x y) (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 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 x y) (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 x y) (pow.f64 x #s(literal 2 binary64))))
(/.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 x y) (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 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 x (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 x (neg.f64 y)))
(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))
(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) (exp.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (neg.f64 y))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (neg.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(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))))
(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)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (+.f64 (neg.f64 y) y))
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (+.f64 (neg.f64 y) y))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) x)
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (+.f64 (neg.f64 y) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (+.f64 (neg.f64 y) y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)) x)
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (+.f64 (neg.f64 y) y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) x)
(fma.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 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.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 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.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 x y) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (neg.f64 y) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.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 (neg.f64 y) y))
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 y)) x)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)

simplify213.0ms (3.8%)

Algorithm
egg-herbie
Rules
645×fma-neg
287×distribute-lft-neg-in
269×associate-+r-
248×distribute-rgt-neg-in
201×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053211776
1116611425
2387910591
Stop Event
node limit
Counts
326 → 331
Calls
Call 1
Inputs
(/.f64 y z)
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))
(-.f64 x (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(/.f64 y z)
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))
(/.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 (+.f64 y (*.f64 x z)) x) z)
(/.f64 (-.f64 (+.f64 y (*.f64 x z)) x) z)
(/.f64 (-.f64 (+.f64 y (*.f64 x z)) x) z)
x
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z)))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(/.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 x z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) y)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
x
(+.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 #s(literal -1 binary64) y)
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(+.f64 x (/.f64 (-.f64 x y) (neg.f64 z)))
(+.f64 x (*.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 1 binary64)))
(+.f64 (-.f64 x (/.f64 (-.f64 x y) z)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (-.f64 x y) (/.f64 (-.f64 x y) z)))
(+.f64 (-.f64 x (/.f64 (-.f64 x y) z)) (fma.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 1 binary64) (/.f64 (-.f64 x y) z)))
(+.f64 (-.f64 x (/.f64 (-.f64 x y) z)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 x y) z))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) z)))
(+.f64 (-.f64 x (/.f64 (-.f64 x y) z)) (+.f64 (/.f64 (-.f64 x y) (neg.f64 z)) (/.f64 (-.f64 x y) z)))
(+.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x)
(+.f64 #s(literal 0 binary64) (-.f64 x (/.f64 (-.f64 x y) z)))
(+.f64 (-.f64 x (/.f64 x z)) (/.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x (/.f64 (-.f64 x y) z)))) (cbrt.f64 (exp.f64 (-.f64 x (/.f64 (-.f64 x y) z)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (/.f64 (-.f64 x y) z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (/.f64 (-.f64 x y) z))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (/.f64 (-.f64 x y) z))))))
(*.f64 (-.f64 x (/.f64 (-.f64 x y) z)) #s(literal 1 binary64))
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(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 z)))
(pow.f64 (/.f64 (-.f64 x y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (-.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 z)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 x y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 x y) z))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (-.f64 x y) z)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (-.f64 x y) (neg.f64 z)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) z)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) z)))
(exp.f64 (log.f64 (/.f64 (-.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) z)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (neg.f64 (/.f64 y z)))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (neg.f64 (/.f64 y z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z) (neg.f64 (/.f64 y z)))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z) (neg.f64 (/.f64 y z)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z))) (cbrt.f64 (/.f64 x z)) (neg.f64 (/.f64 y z)))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (neg.f64 (/.f64 y z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) (neg.f64 (/.f64 y z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (neg.f64 (/.f64 y z)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z) (neg.f64 (/.f64 y z)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (cbrt.f64 x) (cbrt.f64 z)) (neg.f64 (/.f64 y z)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (neg.f64 (/.f64 y z)))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z) (neg.f64 (/.f64 y z)))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (neg.f64 (/.f64 y z)))
(fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (/.f64 y z)))
(+.f64 x (neg.f64 y))
(+.f64 x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (-.f64 x y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 x y) (+.f64 (neg.f64 y) y))
(+.f64 (neg.f64 y) x)
(+.f64 #s(literal 0 binary64) (-.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x y))) (cbrt.f64 (exp.f64 (-.f64 x y))))) (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 x y) #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 x y) (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 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 x y) (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 x y) (pow.f64 x #s(literal 2 binary64))))
(/.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 x y) (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 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 x (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 x (neg.f64 y)))
(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))
(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) (exp.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (neg.f64 y))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (neg.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(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))))
(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)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (+.f64 (neg.f64 y) y))
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (+.f64 (neg.f64 y) y))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) x)
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (+.f64 (neg.f64 y) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (+.f64 (neg.f64 y) y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)) x)
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (+.f64 (neg.f64 y) y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) x)
(fma.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 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.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 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.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 x y) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (neg.f64 y) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.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 (neg.f64 y) y))
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 y)) x)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
Outputs
(/.f64 y z)
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
(-.f64 x (/.f64 x z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 z x)) (/.f64 #s(literal -1 binary64) z))))
(*.f64 x (+.f64 (/.f64 y (*.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 z x)) (/.f64 #s(literal -1 binary64) z))))
(*.f64 x (+.f64 (/.f64 y (*.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 z x)) (/.f64 #s(literal -1 binary64) z))))
(*.f64 x (+.f64 (/.f64 y (*.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
(-.f64 x (/.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 z x)) (/.f64 #s(literal -1 binary64) z))))
(*.f64 x (+.f64 (/.f64 y (*.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 z x)) (/.f64 #s(literal -1 binary64) z))))
(*.f64 x (+.f64 (/.f64 y (*.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 z x)) (/.f64 #s(literal -1 binary64) z))))
(*.f64 x (+.f64 (/.f64 y (*.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))))
(-.f64 x (/.f64 x z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 y z)
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (/.f64 x y) (/.f64 x (*.f64 y z)))))
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(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 x (neg.f64 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 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 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 x (neg.f64 y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x))
(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 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)
(sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(-.f64 x y)
(log.f64 (exp.f64 (-.f64 x y)))
(-.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x y))))
(-.f64 x y)
(log.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(-.f64 x y)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(-.f64 x y)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (neg.f64 y))))
(-.f64 x y)
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (exp.f64 x)))
(-.f64 x y)
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(-.f64 x y)
(log.f64 (*.f64 (exp.f64 (neg.f64 y)) (exp.f64 x)))
(-.f64 x y)
(log.f64 (*.f64 (exp.f64 (neg.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(-.f64 x y)
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(-.f64 x y)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(-.f64 x y)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 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)))
(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 (-.f64 x y)) #s(literal 1 binary64)))
(-.f64 x y)
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(-.f64 x y)
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 x y)
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(-.f64 x y)
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(-.f64 x y)
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (+.f64 (neg.f64 y) y))
(-.f64 x y)
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(-.f64 x y)
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 x y)
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(-.f64 x y)
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(-.f64 x y)
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (+.f64 (neg.f64 y) y))
(-.f64 x y)
(fma.f64 #s(literal 1 binary64) (neg.f64 y) x)
(-.f64 x y)
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(-.f64 x y)
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(-.f64 x y)
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (+.f64 (neg.f64 y) y))
(-.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(-.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(-.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (+.f64 (neg.f64 y) y))
(-.f64 x y)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 y))
(-.f64 x y)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 y))
(-.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)) x)
(-.f64 x y)
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(-.f64 x y)
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(-.f64 x y)
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (+.f64 (neg.f64 y) y))
(-.f64 x y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 y))
(-.f64 x y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 x y)
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) x)
(-.f64 x y)
(fma.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 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) #s(literal 1 binary64) 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 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(fma.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 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) 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 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(fma.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 x y) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (neg.f64 y) 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 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x))
(fma.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 (neg.f64 y) y))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x))
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) x)
(-.f64 x y)
(fma.f64 #s(literal -1 binary64) y x)
(-.f64 x y)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 y)) x)
(-.f64 x y)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) x)
(-.f64 x y)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 y (neg.f64 y)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 y (neg.f64 y)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (neg.f64 y) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 y (neg.f64 y)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(-.f64 x y)

eval51.0ms (0.9%)

Compiler

Compiled 5316 to 943 computations (82.3% saved)

prune52.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3265331
Fresh000
Picked011
Done000
Total3266332
Accuracy
100.0%
Counts
332 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.6%
(/.f64 y z)
100.0%
(-.f64 x (/.f64 (-.f64 x y) z))
89.5%
(-.f64 x (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z))
76.4%
(-.f64 x (/.f64 (neg.f64 y) z))
62.3%
(-.f64 x (/.f64 x z))
36.0%
x
Compiler

Compiled 92 to 60 computations (34.8% saved)

simplify167.0ms (2.9%)

Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff0
(/.f64 (neg.f64 y) z)
cost-diff64
(-.f64 x (/.f64 (neg.f64 y) z))
cost-diff0
(/.f64 x z)
cost-diff0
(-.f64 x (/.f64 x z))
cost-diff0
(/.f64 y z)
cost-diff0
(-.f64 (/.f64 x y) #s(literal 1 binary64))
cost-diff256
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
cost-diff256
(/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z)
cost-diff256
(-.f64 x (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z))
Rules
1654×fma-neg
706×fma-define
421×associate-*r/
320×div-sub
267×times-frac
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
022287
142283
284283
3191283
4623238
52608238
64657238
75972238
86478238
96606238
106633238
116637238
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z))
x
(/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z)
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
y
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
#s(literal 1 binary64)
z
x
(/.f64 y z)
y
z
(-.f64 x (/.f64 x z))
x
(/.f64 x z)
z
(-.f64 x (/.f64 (neg.f64 y) z))
x
(/.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
Outputs
(-.f64 x (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z))
(-.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)))
(-.f64 x (*.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y z)))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z)
(*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))
(*.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(-.f64 x y)
y
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 x y)
#s(literal 1 binary64)
z
x
(/.f64 y z)
y
z
(-.f64 x (/.f64 x z))
x
(/.f64 x z)
z
(-.f64 x (/.f64 (neg.f64 y) z))
(+.f64 x (/.f64 y z))
x
(/.f64 (neg.f64 y) z)
(/.f64 y (neg.f64 z))
(neg.f64 y)
y
z

localize67.0ms (1.2%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 (neg.f64 y) z)
accuracy100.0%
(-.f64 x (/.f64 (neg.f64 y) z))
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(/.f64 x z)
accuracy100.0%
(-.f64 x (/.f64 x z))
accuracy100.0%
(/.f64 y z)
accuracy100.0%
(-.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy100.0%
(-.f64 x (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z))
accuracy100.0%
(/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z)
accuracy87.0%
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
Results
48.0ms256×0valid
Compiler

Compiled 74 to 16 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 9.0ms (47.3% of total)
ival-sub: 5.0ms (26.3% of total)
ival-mult: 3.0ms (15.8% of total)
ival-neg: 1.0ms (5.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series32.0ms (0.6%)

Counts
10 → 192
Calls
Call 1
Inputs
#<alt (-.f64 x (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z))>
#<alt (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z)>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (-.f64 (/.f64 x y) #s(literal 1 binary64))>
#<alt (/.f64 y z)>
#<alt (-.f64 x (/.f64 x z))>
#<alt (/.f64 x z)>
#<alt (-.f64 x (/.f64 (neg.f64 y) z))>
#<alt (/.f64 (neg.f64 y) z)>
#<alt (neg.f64 y)>
Outputs
#<alt (/.f64 y z)>
#<alt (-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))>
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#<alt (*.f64 #s(literal -1 binary64) y)>
Calls

66 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(- x (/ (* y (- (/ x y) 1)) z))
1.0ms
x
@inf
(- x (/ (* y (- (/ x y) 1)) z))
1.0ms
x
@0
(- x (/ (* y (- (/ x y) 1)) z))
1.0ms
z
@0
(- x (/ (* y (- (/ x y) 1)) z))
1.0ms
x
@-inf
(- x (/ (* y (- (/ x y) 1)) z))

rewrite197.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
1219×log1p-expm1-u
170×expm1-log1p-u
167×add-cube-cbrt
166×add-exp-log
166×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022225
1360217
26001217
Stop Event
node limit
Counts
10 → 381
Calls
Call 1
Inputs
(-.f64 x (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z))
(/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z)
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 y z)
(-.f64 x (/.f64 x z))
(/.f64 x z)
(-.f64 x (/.f64 (neg.f64 y) z))
(/.f64 (neg.f64 y) z)
(neg.f64 y)
Outputs
(+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)))
(+.f64 (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)) x)
(+.f64 (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))) (fma.f64 (neg.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)) y (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))))
(+.f64 (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))) (fma.f64 (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)) #s(literal 1 binary64) (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))))
(+.f64 (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y (+.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))))
(+.f64 (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))) #s(literal 2 binary64)) (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))))
(+.f64 (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)))) (sqrt.f64 (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))) (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))))
(*.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))))
(*.f64 (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)))))
(*.f64 (pow.f64 (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)))))
(*.f64 (sqrt.f64 (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)))) (sqrt.f64 (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)))))
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(exp.f64 (log.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))

simplify298.0ms (5.3%)

Algorithm
egg-herbie
Rules
557×associate-*r*
534×associate-*l*
372×fma-define
229×*-commutative
207×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073518701
1165117290
2762717238
Stop Event
node limit
Counts
573 → 519
Calls
Call 1
Inputs
(/.f64 y z)
(-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 y z)))
(-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 y z)))
(-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))
(-.f64 x (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(/.f64 y z)
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))
(/.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z))
(/.f64 (-.f64 (*.f64 x z) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))) z)
(/.f64 (-.f64 (*.f64 x z) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))) z)
(/.f64 (-.f64 (*.f64 x z) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))) z)
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z)))
(/.f64 x z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(/.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))
x
(+.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 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.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 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
#s(literal -1 binary64)
(/.f64 x y)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(/.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(/.f64 x y)
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)) y)
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)) y)
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)) y)
#s(literal -1 binary64)
#s(literal -1 binary64)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (-.f64 (*.f64 x z) x) z)
(/.f64 (-.f64 (*.f64 x z) x) z)
(/.f64 (-.f64 (*.f64 x z) x) z)
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(/.f64 y z)
(-.f64 x (*.f64 #s(literal -1 binary64) (/.f64 y z)))
(-.f64 x (*.f64 #s(literal -1 binary64) (/.f64 y z)))
(-.f64 x (*.f64 #s(literal -1 binary64) (/.f64 y z)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
x
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(/.f64 y z)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(/.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 y z)
(/.f64 (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) y)) z)
(/.f64 (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) y)) z)
(/.f64 (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) y)) z)
x
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
x
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)))
(+.f64 (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)) x)
(+.f64 (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))) (fma.f64 (neg.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)) y (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))))
(+.f64 (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))) (fma.f64 (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)) #s(literal 1 binary64) (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))))
(+.f64 (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y (+.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))))
(+.f64 (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))) #s(literal 2 binary64)) (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))))
(+.f64 (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)))) (sqrt.f64 (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))) (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))))
(*.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))))
(*.f64 (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (*.f64 y (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) z)))))
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(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(exp.f64 (log.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
Outputs
(/.f64 y z)
(-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 y z)))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) (/.f64 y z))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y x)))
(-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 y z)))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) (/.f64 y z))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y x)))
(-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 y z)))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) (/.f64 y z))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
(-.f64 x (/.f64 x z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 z x)) (/.f64 #s(literal -1 binary64) z))))
(*.f64 x (+.f64 (/.f64 y (*.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 z x)) (/.f64 #s(literal -1 binary64) z))))
(*.f64 x (+.f64 (/.f64 y (*.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 z x)) (/.f64 #s(literal -1 binary64) z))))
(*.f64 x (+.f64 (/.f64 y (*.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z x)) (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z x))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z x)) (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z x))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z x)) (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z x))))))
(-.f64 x (/.f64 x z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) (/.f64 y z))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y x)))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) (/.f64 y z))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y x)))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) (/.f64 y z))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y x)))
(/.f64 y z)
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (/.f64 x y) (/.f64 x (*.f64 y z)))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 x (/.f64 x z)) y)))
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (/.f64 x y) (/.f64 x (*.f64 y z)))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 x (/.f64 x z)) y)))
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (/.f64 x y) (/.f64 x (*.f64 y z)))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 x (/.f64 x z)) y)))
(/.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z))
(*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 z)))
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z))
(/.f64 (-.f64 (*.f64 x z) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))) z)
(/.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))) z)
(/.f64 (fma.f64 z x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))) z)
(/.f64 (-.f64 (*.f64 x z) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))) z)
(/.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))) z)
(/.f64 (fma.f64 z x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))) z)
(/.f64 (-.f64 (*.f64 x z) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))) z)
(/.f64 (-.f64 (*.f64 z x) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))) z)
(/.f64 (fma.f64 z x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))) z)
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z)))
(+.f64 x (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 z))))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z) x)
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z)))
(+.f64 x (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 z))))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z) x)
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z)))
(+.f64 x (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 z))))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z) x)
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z)))
(+.f64 x (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 z))))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z) x)
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z)))
(+.f64 x (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 z))))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z) x)
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z)))
(+.f64 x (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 z))))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z) x)
(/.f64 x z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(fma.f64 #s(literal -1 binary64) (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(fma.f64 #s(literal -1 binary64) (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(fma.f64 #s(literal -1 binary64) (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(/.f64 y (neg.f64 z))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (+.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (+.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (+.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(/.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y z))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y z))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y z))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(/.f64 y (neg.f64 z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(fma.f64 #s(literal -1 binary64) (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(fma.f64 #s(literal -1 binary64) (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(fma.f64 #s(literal -1 binary64) (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 x z)
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z x))))
(/.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z x))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(+.f64 x (neg.f64 y))
(-.f64 x y)
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(+.f64 x (neg.f64 y))
(-.f64 x y)
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(+.f64 x (neg.f64 y))
(-.f64 x y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))))
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(pow.f64 (sqrt.f64 (+.f64 x (/.f64 y z))) #s(literal 2 binary64))
(+.f64 (/.f64 y z) x)
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 y z) x) #s(literal 2 binary64)))
(fabs.f64 (+.f64 (/.f64 y z) x))
(log.f64 (exp.f64 (+.f64 x (/.f64 y z))))
(+.f64 (/.f64 y z) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (/.f64 y z)))))
(+.f64 (/.f64 y z) x)
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 3 binary64)))
(+.f64 (/.f64 y z) x)
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 y z))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 y z) x)))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 y z))))
(+.f64 (/.f64 y z) x)
(exp.f64 (log.f64 (+.f64 x (/.f64 y z))))
(+.f64 (/.f64 y z) x)
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 y z))
(+.f64 (/.f64 y z) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (/.f64 y z))
(+.f64 (/.f64 y z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y z))
(+.f64 (/.f64 y z) x)
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(/.f64 y (neg.f64 z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 y z))
(/.f64 y (neg.f64 z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 y z))
(/.f64 y (neg.f64 z))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(/.f64 y z)
(*.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 y (neg.f64 z))
(*.f64 y (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(/.f64 y (neg.f64 z))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 y z)
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(/.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 y z))))
(/.f64 y (neg.f64 z))
(*.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(/.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z))
(/.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(/.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (neg.f64 z)))
(/.f64 y (neg.f64 z))
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(/.f64 y z)
(*.f64 (sqrt.f64 (/.f64 y z)) (neg.f64 (sqrt.f64 (/.f64 y z))))
(/.f64 y (neg.f64 z))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z))
(/.f64 y z)
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(/.f64 y z)
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (neg.f64 z)))
(/.f64 y (neg.f64 z))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(/.f64 y z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(/.f64 y (neg.f64 z))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(/.f64 y (neg.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
(/.f64 y z)
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(/.f64 y z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(/.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 y (cbrt.f64 z)) (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(/.f64 (/.f64 (neg.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (cbrt.f64 (/.f64 y z)) (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(/.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(/.f64 y (neg.f64 z))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 y z)
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(/.f64 y z)
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 y z)
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(/.f64 y z)
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(/.f64 y z)
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(fabs.f64 (/.f64 y z))
(log.f64 (exp.f64 (/.f64 y z)))
(/.f64 y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(/.f64 y z)
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(/.f64 y z)
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(/.f64 y z)
(exp.f64 (log.f64 (/.f64 y z)))
(/.f64 y z)
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
(/.f64 y z)
(+.f64 #s(literal 0 binary64) y)
y
(-.f64 #s(literal 0 binary64) y)
(neg.f64 y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 y))
(*.f64 y #s(literal 1 binary64))
y
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
(*.f64 #s(literal 1 binary64) y)
y
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
y
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
y
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(neg.f64 y)
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
y
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(neg.f64 y)
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(neg.f64 y)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(neg.f64 y)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(neg.f64 y)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(/.f64 (neg.f64 (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
y
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
y
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
y
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
y
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(fabs.f64 y)
(log.f64 (exp.f64 y))
y
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
y
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
y
(exp.f64 (log.f64 y))
y
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
y

eval62.0ms (1.1%)

Compiler

Compiled 7325 to 1450 computations (80.2% saved)

prune76.0ms (1.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New5163519
Fresh000
Picked235
Done011
Total5187525
Accuracy
100.0%
Counts
525 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.7%
(/.f64 (neg.f64 x) z)
42.6%
(/.f64 y z)
100.0%
(-.f64 x (/.f64 (-.f64 x y) z))
62.3%
(-.f64 x (/.f64 x z))
76.4%
(+.f64 (/.f64 y z) x)
59.8%
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z))
36.0%
x
Compiler

Compiled 55 to 36 computations (34.5% saved)

simplify153.0ms (2.7%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(/.f64 (neg.f64 x) z)
cost-diff0
(/.f64 y z)
cost-diff0
(+.f64 (/.f64 y z) x)
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 x y))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z)
cost-diff256
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z))
Rules
1000×fma-define
958×fma-neg
533×times-frac
428×unsub-neg
358×div-sub
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
019190
138190
264190
3125190
4340175
5953175
62119175
73588175
84807175
96472175
107012175
117125175
127835175
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z))
y
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
x
z
(+.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
(/.f64 (neg.f64 x) z)
(neg.f64 x)
x
z
Outputs
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)
(/.f64 (-.f64 y x) z)
y
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
x
z
(+.f64 (/.f64 y z) x)
(+.f64 x (/.f64 y z))
(/.f64 y z)
y
z
x
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(neg.f64 x)
x
z

localize131.0ms (2.3%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 (neg.f64 x) z)
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(/.f64 y z)
accuracy100.0%
(+.f64 (/.f64 y z) x)
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy94.7%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z)
accuracy91.6%
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z))
Results
118.0ms256×0valid
Compiler

Compiled 51 to 13 computations (74.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 11.0ms (62.6% of total)
ival-mult: 2.0ms (11.4% of total)
ival-sub: 1.0ms (5.7% of total)
ival-add: 1.0ms (5.7% of total)
ival-neg: 1.0ms (5.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series24.0ms (0.4%)

Counts
7 → 156
Calls
Call 1
Inputs
#<alt (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z)>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 x y))>
#<alt (/.f64 x y)>
#<alt (+.f64 (/.f64 y z) x)>
#<alt (/.f64 (neg.f64 x) z)>
#<alt (neg.f64 x)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))>
#<alt (/.f64 y z)>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 y z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)>
#<alt (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)>
#<alt (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)>
#<alt (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)>
#<alt (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)>
#<alt (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)>
#<alt (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)>
#<alt (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)>
#<alt (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)>
#<alt (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)>
#<alt (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)>
#<alt (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z)) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z)) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z)) y)>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (/.f64 (-.f64 y x) y)>
#<alt (/.f64 (-.f64 y x) y)>
#<alt (/.f64 (-.f64 y x) y)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt x>
#<alt (+.f64 x (/.f64 y z))>
#<alt (+.f64 x (/.f64 y z))>
#<alt (+.f64 x (/.f64 y z))>
#<alt (/.f64 y z)>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))>
#<alt (/.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 y z)>
#<alt (/.f64 (+.f64 y (*.f64 x z)) z)>
#<alt (/.f64 (+.f64 y (*.f64 x z)) z)>
#<alt (/.f64 (+.f64 y (*.f64 x z)) z)>
#<alt x>
#<alt (+.f64 x (/.f64 y z))>
#<alt (+.f64 x (/.f64 y z))>
#<alt (+.f64 x (/.f64 y z))>
#<alt x>
#<alt (+.f64 x (/.f64 y z))>
#<alt (+.f64 x (/.f64 y z))>
#<alt (+.f64 x (/.f64 y z))>
#<alt (/.f64 y z)>
#<alt (+.f64 x (/.f64 y z))>
#<alt (+.f64 x (/.f64 y z))>
#<alt (+.f64 x (/.f64 y z))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
Calls

48 calls:

TimeVariablePointExpression
4.0ms
y
@0
(* y (/ (- 1 (/ x y)) z))
3.0ms
z
@0
(* y (/ (- 1 (/ x y)) z))
1.0ms
z
@inf
(* y (/ (- 1 (/ x y)) z))
1.0ms
x
@0
(* y (/ (- 1 (/ x y)) z))
0.0ms
x
@inf
(* y (/ (- 1 (/ x y)) z))

rewrite222.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
948×log1p-expm1-u
948×expm1-log1p-u
290×fma-define
213×fma-neg
126×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019144
1279136
24422136
Stop Event
node limit
Counts
7 → 331
Calls
Call 1
Inputs
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
(+.f64 (/.f64 y z) x)
(/.f64 (neg.f64 x) z)
(neg.f64 x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z)))) #s(literal 1 binary64))
(/.f64 y (/.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)
(/.f64 (neg.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (neg.f64 z))
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 z))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) y) (neg.f64 z))
(/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (/.f64 x (*.f64 z y))))
(-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 z y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) z))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z)))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x y))) (/.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x y))) z))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x y))) (*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) (sqrt.f64 z)))
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x y))) #s(literal 1 binary64)) (/.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x y))) z))
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x y))) (cbrt.f64 z)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 z)))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) z))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 x y)) (log.f64 z)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 x y)) (log.f64 z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z) (neg.f64 (/.f64 x (*.f64 z y))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) z)) (cbrt.f64 (/.f64 #s(literal 1 binary64) z))) (cbrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 x (*.f64 z y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 x (*.f64 z y))))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x y))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
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(fma.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 x)) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (/.f64 y z))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (/.f64 y z))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 y z))
(-.f64 #s(literal 0 binary64) (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 x z))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 x (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(neg.f64 (/.f64 x z))
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(exp.f64 (log.f64 (/.f64 x z)))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))

simplify185.0ms (3.3%)

Algorithm
egg-herbie
Rules
484×distribute-lft-neg-in
383×associate-*r*
346×associate-*l*
328×fma-neg
305×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064013283
1132012535
2526911662
Stop Event
node limit
Counts
487 → 433
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))
(/.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 y z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y))) z)
(/.f64 #s(literal 1 binary64) z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 x z)))))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z)) y)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z)) y)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z)) y)
(/.f64 #s(literal 1 binary64) z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 (-.f64 y x) y)
(/.f64 (-.f64 y x) y)
(/.f64 (-.f64 y x) y)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))
x
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(/.f64 y z)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(/.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 y z)
(/.f64 (+.f64 y (*.f64 x z)) z)
(/.f64 (+.f64 y (*.f64 x z)) z)
(/.f64 (+.f64 y (*.f64 x z)) z)
x
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
x
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(/.f64 y z)
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z)))) #s(literal 1 binary64))
(/.f64 y (/.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)
(/.f64 (neg.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (neg.f64 z))
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y))) (neg.f64 z))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) y) (neg.f64 z))
(/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) z)))
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(*.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 y z)) (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 2 binary64)) (+.f64 x (/.f64 y z)))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (*.f64 y (/.f64 x z)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (fma.f64 x x (*.f64 y (/.f64 x z)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 2 binary64))) (neg.f64 (+.f64 x (/.f64 y z))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (-.f64 x (/.f64 y z)))
(pow.f64 (+.f64 x (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (/.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (/.f64 y z)))))
(log.f64 (/.f64 (exp.f64 (/.f64 y z)) (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 y z))))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (+.f64 x (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 y z))
(fma.f64 #s(literal 1 binary64) (/.f64 y z) x)
(fma.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y z)) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 x #s(literal 1 binary64) (/.f64 y z))
(fma.f64 x #s(literal -1 binary64) (/.f64 y z))
(fma.f64 (/.f64 y z) #s(literal 1 binary64) x)
(fma.f64 (+.f64 x (/.f64 y z)) #s(literal 1 binary64) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (+.f64 x (/.f64 y z)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 x (/.f64 y z)) #s(literal 1 binary64) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)) x)
(fma.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) #s(literal 2 binary64)) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (/.f64 y z))) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (/.f64 y z))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (/.f64 y z))) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (/.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) (/.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)) x)
(fma.f64 (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y z))) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y z))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y z))) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) x)
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 y z))) (sqrt.f64 (+.f64 x (/.f64 y z))) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 y z))) (sqrt.f64 (+.f64 x (/.f64 y z))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 y z))) (sqrt.f64 (+.f64 x (/.f64 y z))) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y z))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (/.f64 y z))
(fma.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) y x)
(fma.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 #s(literal -1 binary64) x (/.f64 y z))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 y z))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)) x)
(fma.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z) x)
(fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)) x)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 x)) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (/.f64 y z))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (/.f64 y z))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 y z))
(-.f64 #s(literal 0 binary64) (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 x z))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 x (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(neg.f64 (/.f64 x z))
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(exp.f64 (log.f64 (/.f64 x z)))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 y z)
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x y) z)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x y) z)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x y) z)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x y) z)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x y) z)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x y) z)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
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(fma.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 x)) (fma.f64 x #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y z))) (-.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 x)) (+.f64 x x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y z))) (-.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 x)) (*.f64 x #s(literal 2 binary64)))
(+.f64 (-.f64 (/.f64 y z) x) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(-.f64 (/.f64 y z) x)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(-.f64 (/.f64 y z) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (/.f64 y z))
(-.f64 (/.f64 y z) x)
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (/.f64 y z))
(-.f64 (/.f64 y z) x)
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 y z))
(-.f64 (/.f64 y z) x)
(-.f64 #s(literal 0 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(/.f64 x z)
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(*.f64 x (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(/.f64 x (neg.f64 z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(/.f64 x z)
(*.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(/.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z))
(/.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(/.f64 x z)
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(/.f64 x z)
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z))
(/.f64 x z)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(/.f64 x z)
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z))
(/.f64 x z)
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(/.f64 x z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (cbrt.f64 (/.f64 x z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(/.f64 (/.f64 (neg.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(/.f64 x z)
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(/.f64 x z)
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x z)
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(/.f64 x z)
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(/.f64 x z)
(neg.f64 (/.f64 x z))
(/.f64 x (neg.f64 z))
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(/.f64 x z)
(log.f64 (exp.f64 (/.f64 x z)))
(/.f64 x z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(/.f64 x z)
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(/.f64 x z)
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 x z)
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(/.f64 x z)
(exp.f64 (log.f64 (/.f64 x z)))
(/.f64 x z)
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(/.f64 x z)
(+.f64 #s(literal 0 binary64) x)
x
(-.f64 #s(literal 0 binary64) x)
(neg.f64 x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 x))
(*.f64 #s(literal 1 binary64) x)
x
(*.f64 x #s(literal 1 binary64))
x
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(neg.f64 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(neg.f64 x)
(pow.f64 x #s(literal 1 binary64))
x
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
x
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
x
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
x
(log.f64 (exp.f64 x))
x
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
x
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
x

eval75.0ms (1.3%)

Compiler

Compiled 6008 to 1290 computations (78.5% saved)

prune79.0ms (1.4%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New4871488
Fresh000
Picked033
Done044
Total4878495
Accuracy
100.0%
Counts
495 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.7%
(/.f64 (neg.f64 x) z)
42.6%
(/.f64 y z)
4.1%
(/.f64 x z)
100.0%
(-.f64 x (/.f64 (-.f64 x y) z))
62.3%
(-.f64 x (/.f64 x z))
76.4%
(+.f64 (/.f64 y z) x)
59.8%
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z))
36.0%
x
Compiler

Compiled 61 to 40 computations (34.4% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x z)
x
z
Outputs
(/.f64 x z)
x
z

localize17.0ms (0.3%)

Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x z)
Results
12.0ms256×0valid
Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 4.0ms (88.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval4.0ms (0.1%)

Compiler

Compiled 323 to 90 computations (72.1% saved)

prune11.0ms (0.2%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New40040
Fresh000
Picked011
Done077
Total40848
Accuracy
100.0%
Counts
48 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.7%
(/.f64 (neg.f64 x) z)
42.6%
(/.f64 y z)
4.1%
(/.f64 x z)
100.0%
(-.f64 x (/.f64 (-.f64 x y) z))
62.3%
(-.f64 x (/.f64 x z))
76.4%
(+.f64 (/.f64 y z) x)
59.8%
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z))
36.0%
x
Compiler

Compiled 125 to 67 computations (46.4% saved)

regimes18.0ms (0.3%)

Counts
11 → 1
Calls
Call 1
Inputs
x
(/.f64 x z)
(/.f64 y z)
(/.f64 (neg.f64 x) z)
(+.f64 (/.f64 y z) x)
(-.f64 x (/.f64 x z))
(-.f64 x (/.f64 (neg.f64 y) z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z))
(-.f64 x (/.f64 (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) z))
Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
Calls

4 calls:

5.0ms
z
4.0ms
y
4.0ms
x
4.0ms
(+.f64 x (/.f64 (-.f64 y x) z))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 x (/.f64 (-.f64 y x) z))
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes9.0ms (0.2%)

Counts
7 → 3
Calls
Call 1
Inputs
x
(/.f64 x z)
(/.f64 y z)
(/.f64 (neg.f64 x) z)
(+.f64 (/.f64 y z) x)
(-.f64 x (/.f64 x z))
(-.f64 x (/.f64 (neg.f64 y) z))
Outputs
(+.f64 (/.f64 y z) x)
(-.f64 x (/.f64 x z))
(+.f64 (/.f64 y z) x)
Calls

3 calls:

3.0ms
y
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
87.3%3x
90.8%3y
79.7%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes82.0ms (1.5%)

Counts
5 → 3
Calls
Call 1
Inputs
x
(/.f64 x z)
(/.f64 y z)
(/.f64 (neg.f64 x) z)
(+.f64 (/.f64 y z) x)
Outputs
(+.f64 (/.f64 y z) x)
(/.f64 (neg.f64 x) z)
(+.f64 (/.f64 y z) x)
Calls

3 calls:

77.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
79.7%3z
76.4%1x
76.4%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Counts
4 → 5
Calls
Call 1
Inputs
x
(/.f64 x z)
(/.f64 y z)
(/.f64 (neg.f64 x) z)
Outputs
x
(/.f64 y z)
(/.f64 (neg.f64 x) z)
(/.f64 y z)
x
Calls

3 calls:

2.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
59.1%4x
59.1%3y
66.7%5z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Counts
3 → 3
Calls
Call 1
Inputs
x
(/.f64 x z)
(/.f64 y z)
Outputs
x
(/.f64 y z)
x
Calls

1 calls:

2.0ms
z
Results
AccuracySegmentsBranch
63.3%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Accuracy

Total -21.5b remaining (-52.6%)

Threshold costs -21.5b (-52.6%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(/.f64 x z)
Outputs
x
Calls

3 calls:

2.0ms
z
2.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
36.0%1x
36.0%1y
36.0%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch21.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
2.023583238145957e-30
3.303158088205871e-25
8.0ms
-2.069175398336749e-70
-2.8791185284487634e-71
Results
11.0ms240×0valid
Compiler

Compiled 286 to 191 computations (33.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (43% of total)
ival-sub: 1.0ms (21.5% of total)
ival-add: 1.0ms (21.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
-4.922207695328703e-204
-1.820627026394481e-208
5.0ms
-5.953912904623807e-95
-3.885951155988985e-95
Results
9.0ms192×0valid
Compiler

Compiled 220 to 155 computations (29.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (51.4% of total)
ival-sub: 1.0ms (25.7% of total)
ival-add: 1.0ms (25.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch103.0ms (1.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
342.9496460707273
870473259.1451206
10.0ms
-4.922207695328703e-204
-1.820627026394481e-208
5.0ms
-5.953912904623807e-95
-3.885951155988985e-95
73.0ms
-2.75040987857689e+27
-108654885009110190.0
Results
84.0ms496×0valid
Compiler

Compiled 424 to 314 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (40.4% of total)
ival-sub: 3.0ms (30.3% of total)
ival-add: 2.0ms (20.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
342.9496460707273
870473259.1451206
24.0ms
-2.75040987857689e+27
-108654885009110190.0
Results
23.0ms304×0valid
Compiler

Compiled 244 to 182 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 2.0ms (33.2% of total)
ival-div: 2.0ms (33.2% of total)
ival-add: 1.0ms (16.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify12.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative
if-if-or-not
sub-neg
*-commutative
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052324
173324
281324
386324
489324
590324
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 y #s(literal -2331202670670875/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (+.f64 (/.f64 y z) x) (if (<=.f64 y #s(literal 8188554877585463/348449143727040986586495598010130648530944 binary64)) (-.f64 x (/.f64 x z)) (+.f64 (/.f64 y z) x)))
(if (<=.f64 z #s(literal -4208588308330709/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) (+.f64 (/.f64 y z) x) (if (<=.f64 z #s(literal -4066580100539833/45184223339331479951185741475274045813621662589625240394934430893803101285779175998493982735923679951534365847972543945249972749854054255162024849415791137702892737463723457929162113159883256443580117751661352485851758592 binary64)) (/.f64 (neg.f64 x) z) (+.f64 (/.f64 y z) x)))
(if (<=.f64 z #s(literal -200000000000000000 binary64)) x (if (<=.f64 z #s(literal -3306747956545557/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) (/.f64 y z) (if (<=.f64 z #s(literal -6551712384203065/22592111669665739975592870737637022906810831294812620197467215446901550642889587999246991367961839975767182923986271972624986374927027127581012424707895568851446368731861728964581056579941628221790058875830676242925879296 binary64)) (/.f64 (neg.f64 x) z) (if (<=.f64 z #s(literal 340000000 binary64)) (/.f64 y z) x))))
(if (<=.f64 z #s(literal -1750000000000000000000 binary64)) x (if (<=.f64 z #s(literal 215000000 binary64)) (/.f64 y z) x))
x
Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 y #s(literal -2331202670670875/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (+.f64 (/.f64 y z) x) (if (<=.f64 y #s(literal 8188554877585463/348449143727040986586495598010130648530944 binary64)) (-.f64 x (/.f64 x z)) (+.f64 (/.f64 y z) x)))
(if (or (<=.f64 y #s(literal -2331202670670875/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (not (<=.f64 y #s(literal 8188554877585463/348449143727040986586495598010130648530944 binary64)))) (+.f64 x (/.f64 y z)) (-.f64 x (/.f64 x z)))
(if (<=.f64 z #s(literal -4208588308330709/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) (+.f64 (/.f64 y z) x) (if (<=.f64 z #s(literal -4066580100539833/45184223339331479951185741475274045813621662589625240394934430893803101285779175998493982735923679951534365847972543945249972749854054255162024849415791137702892737463723457929162113159883256443580117751661352485851758592 binary64)) (/.f64 (neg.f64 x) z) (+.f64 (/.f64 y z) x)))
(if (or (<=.f64 z #s(literal -4208588308330709/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) (not (<=.f64 z #s(literal -4066580100539833/45184223339331479951185741475274045813621662589625240394934430893803101285779175998493982735923679951534365847972543945249972749854054255162024849415791137702892737463723457929162113159883256443580117751661352485851758592 binary64)))) (+.f64 x (/.f64 y z)) (/.f64 (neg.f64 x) z))
(if (<=.f64 z #s(literal -200000000000000000 binary64)) x (if (<=.f64 z #s(literal -3306747956545557/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) (/.f64 y z) (if (<=.f64 z #s(literal -6551712384203065/22592111669665739975592870737637022906810831294812620197467215446901550642889587999246991367961839975767182923986271972624986374927027127581012424707895568851446368731861728964581056579941628221790058875830676242925879296 binary64)) (/.f64 (neg.f64 x) z) (if (<=.f64 z #s(literal 340000000 binary64)) (/.f64 y z) x))))
(if (<=.f64 z #s(literal -1750000000000000000000 binary64)) x (if (<=.f64 z #s(literal 215000000 binary64)) (/.f64 y z) x))
x

soundness1.0s (18.4%)

Rules
1190×fma-define
791×fma-neg
645×fma-neg
557×associate-*r*
534×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036377
188341
2249341
3788341
42040341
54196341
64648341
74847341
84925341
94941341
105636341
115636341
125728341
136129341
073518701
1165117290
2762717238
053211776
1116611425
2387910591
Stop Event
done
node limit
node limit
saturated
Compiler

Compiled 289 to 124 computations (57.1% saved)

preprocess143.0ms (2.5%)

Compiler

Compiled 198 to 100 computations (49.5% saved)

end0.0ms (0%)

Profiling

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