Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1

Time bar (total: 3.2s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample988.0ms (31.1%)

Results
575.0ms5385×256valid
334.0ms2870×256infinite
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 272.0ms
Operation ival-mult, time spent: 209.0ms, 77.0% of total-time
Operation ival-sub, time spent: 49.0ms, 18.0% of total-time
Operation const, time spent: 14.0ms, 5.0% of total-time
Bogosity

preprocess207.0ms (6.5%)

Algorithm
egg-herbie
Rules
425×fma-define
216×fmm-def
96×distribute-lft-neg-in
94×associate-*r*
94×cancel-sign-sub-inv
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
00-0-x
00-0-(*.f64 x x)
00-0-(*.f64 (*.f64 y #s(literal 4 binary64)) z)
00-0-#s(literal 4 binary64)
00-0-z
00-0-(*.f64 y #s(literal 4 binary64))
00-0-y
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038435
1116375
2284375
3713375
41184375
51623375
61715375
71723375
81723375
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(-.f64 (*.f64 y y) (*.f64 (*.f64 x #s(literal 4 binary64)) z))
(-.f64 (*.f64 z z) (*.f64 (*.f64 y #s(literal 4 binary64)) x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 z #s(literal 4 binary64)) y))
Outputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64)))))
(fma.f64 x x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(-.f64 (*.f64 x x) (*.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64)))))
(fma.f64 x x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y #s(literal 4 binary64)) z)))
(neg.f64 (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(neg.f64 (fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(-.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) z) (*.f64 x x))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64))))))
(neg.f64 (fma.f64 x x (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 x x))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64))))))
(neg.f64 (fma.f64 x x (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 x x))
(-.f64 (*.f64 y y) (*.f64 (*.f64 x #s(literal 4 binary64)) z))
(-.f64 (*.f64 y y) (*.f64 z (*.f64 x #s(literal 4 binary64))))
(fma.f64 y y (*.f64 x (*.f64 z #s(literal -4 binary64))))
(fma.f64 x (*.f64 z #s(literal -4 binary64)) (*.f64 y y))
(-.f64 (*.f64 z z) (*.f64 (*.f64 y #s(literal 4 binary64)) x))
(-.f64 (*.f64 z z) (*.f64 y (*.f64 x #s(literal 4 binary64))))
(fma.f64 z z (*.f64 x (*.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 x #s(literal -4 binary64)) (*.f64 z z))
(fma.f64 x (*.f64 y #s(literal -4 binary64)) (*.f64 z z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 z #s(literal 4 binary64)) y))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
Symmetry

(abs x)

(sort y z)

Compiler

Compiled 68 to 38 computations (44.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
Operation ival-mult, time spent: 25.0ms, 83.0% of total-time
Operation ival-sub, time spent: 3.0ms, 10.0% of total-time
Operation const, time spent: 2.0ms, 7.0% of total-time

eval3.0ms (0.1%)

Compiler

Compiled 20 to 12 computations (40% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
98.8%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Compiler

Compiled 23 to 15 computations (34.8% saved)

localize80.0ms (2.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.6%
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
98.9%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Compiler

Compiled 48 to 25 computations (47.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
Operation ival-mult, time spent: 21.0ms, 71.0% of total-time
Operation composed, time spent: 4.0ms, 13.0% of total-time
Operation ival-sub, time spent: 2.0ms, 7.0% of total-time
Operation ival-add, time spent: 2.0ms, 7.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

series8.0ms (0.3%)

Counts
2 → 72
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))>
#<alt (fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))>
Outputs
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@0
(- (* x x) (* (* y 4) z))
1.0ms
y
@0
(+ (* x x) (* y (* z -4)))
1.0ms
y
@inf
(- (* x x) (* (* y 4) z))
1.0ms
y
@0
(- (* x x) (* (* y 4) z))
1.0ms
x
@inf
(- (* x x) (* (* y 4) z))

rewrite262.0ms (8.3%)

Algorithm
batch-egg-rewrite
Rules
996×log1p-expm1-u
996×expm1-log1p-u
585×log-prod
422×fma-define
180×expm1-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01968
123566
2309060
Stop Event
node limit
Counts
2 → 224
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
Outputs
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 1 binary64)))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (-.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))) (-.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(log.f64 (*.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify218.0ms (6.9%)

Algorithm
egg-herbie
Rules
410×times-frac
301×*-commutative
300×fmm-def
283×distribute-lft-in
277×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036313441
185213223
2235012619
3792412319
Stop Event
node limit
Counts
296 → 219
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 1 binary64)))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (-.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))) (-.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(log.f64 (*.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
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(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 y z) #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 2 binary64))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))

eval88.0ms (2.8%)

Compiler

Compiled 4873 to 3030 computations (37.8% saved)

prune34.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2163219
Fresh000
Picked112
Done000
Total2174221
Accuracy
100.0%
Counts
221 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.1%
(pow.f64 x #s(literal 2 binary64))
98.8%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
91.5%
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
48.4%
(*.f64 y (*.f64 #s(literal -4 binary64) z))
Compiler

Compiled 40 to 29 computations (27.5% saved)

localize96.0ms (3%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
92.3%
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
88.1%
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
Compiler

Compiled 56 to 35 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
Operation ival-pow, time spent: 13.0ms, 33.0% of total-time
Operation ival-mult, time spent: 12.0ms, 31.0% of total-time
Operation ival-div, time spent: 9.0ms, 23.0% of total-time
Operation ival-sub, time spent: 3.0ms, 8.0% of total-time
Operation const, time spent: 2.0ms, 5.0% of total-time

series10.0ms (0.3%)

Counts
2 → 36
Calls
Call 1
Inputs
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))>
Outputs
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@0
(* y (- (/ (pow x 2) y) (* 4 z)))
2.0ms
z
@0
(* y (- (/ (pow x 2) y) (* 4 z)))
1.0ms
x
@inf
(/ (pow x 2) y)
1.0ms
y
@-inf
(* y (- (/ (pow x 2) y) (* 4 z)))
1.0ms
x
@0
(/ (pow x 2) y)

rewrite101.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
924×log1p-expm1-u
924×expm1-log1p-u
494×log-prod
282×fma-define
160×expm1-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01662
119162
2256458
Stop Event
node limit
Counts
2 → 65
Calls
Call 1
Inputs
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(*.f64 x (/.f64 x y))
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 1 binary64))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) y))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(+.f64 (*.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal 4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))) (fma.f64 #s(literal 4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) y) (fma.f64 (*.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal 4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64))) y) (fma.f64 #s(literal 4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y (*.f64 (*.f64 z #s(literal -4 binary64)) y))

simplify93.0ms (2.9%)

Algorithm
egg-herbie
Rules
617×fma-define
434×fmm-def
267×distribute-lft-in
258×distribute-rgt-in
231×distribute-lft-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02033186
14263186
213583134
352043128
Stop Event
node limit
Counts
101 → 92
Calls
Call 1
Inputs
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(*.f64 x (/.f64 x y))
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 1 binary64))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) y))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(+.f64 (*.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal 4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))) (fma.f64 #s(literal 4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) y) (fma.f64 (*.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal 4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64))) y) (fma.f64 #s(literal 4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y (*.f64 (*.f64 z #s(literal -4 binary64)) y))
Outputs
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
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(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) y) (fma.f64 (*.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal 4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))) (fma.f64 (*.f64 z #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -64 binary64))) (/.f64 y (fma.f64 (*.f64 z #s(literal 4 binary64)) (fma.f64 z #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -64 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 z #s(literal 4 binary64)) (fma.f64 z #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64))) y) (fma.f64 #s(literal 4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))) (fma.f64 #s(literal 4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -16 binary64))) (/.f64 y (fma.f64 z #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (/.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 z #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 3 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 1 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y (*.f64 (*.f64 z #s(literal -4 binary64)) y))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))

eval34.0ms (1.1%)

Compiler

Compiled 1565 to 1067 computations (31.8% saved)

prune14.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New91192
Fresh000
Picked213
Done011
Total93396
Accuracy
100.0%
Counts
96 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
92.2%
(*.f64 y (-.f64 (*.f64 x (/.f64 x y)) (*.f64 #s(literal 4 binary64) z)))
48.4%
(*.f64 y (*.f64 #s(literal -4 binary64) z))
Compiler

Compiled 34 to 23 computations (32.4% saved)

localize53.0ms (1.7%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 x (/.f64 x y))
92.3%
(*.f64 y (-.f64 (*.f64 x (/.f64 x y)) (*.f64 #s(literal 4 binary64) z)))
Compiler

Compiled 39 to 16 computations (59% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
Operation ival-mult, time spent: 8.0ms, 55.0% of total-time
Operation ival-div, time spent: 3.0ms, 21.0% of total-time
Operation ival-sub, time spent: 3.0ms, 21.0% of total-time
Operation const, time spent: 1.0ms, 7.0% of total-time

series3.0ms (0.1%)

Counts
2 → 60
Calls
Call 1
Inputs
#<alt (*.f64 y (-.f64 (*.f64 x (/.f64 x y)) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 x (/.f64 x y))>
Outputs
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
Calls

15 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(* y (- (* x (/ x y)) (* 4 z)))
0.0ms
x
@inf
(* y (- (* x (/ x y)) (* 4 z)))
0.0ms
y
@0
(* y (- (* x (/ x y)) (* 4 z)))
0.0ms
x
@-inf
(* y (- (* x (/ x y)) (* 4 z)))
0.0ms
y
@inf
(* y (- (* x (/ x y)) (* 4 z)))

rewrite113.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
997×log1p-expm1-u
997×expm1-log1p-u
539×log-prod
441×fma-define
193×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01568
119861
2271958
Stop Event
node limit
Counts
2 → 83
Calls
Call 1
Inputs
(*.f64 y (-.f64 (*.f64 x (/.f64 x y)) (*.f64 #s(literal 4 binary64) z)))
(*.f64 x (/.f64 x y))
Outputs
(+.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(+.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(+.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(+.f64 (*.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal 4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))) (fma.f64 #s(literal 4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) y) (fma.f64 (*.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal 4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64))) y) (fma.f64 #s(literal 4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(fma.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y (*.f64 (*.f64 z #s(literal -4 binary64)) y))
(fma.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (sqrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (sqrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (sqrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (*.f64 y (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (*.f64 y (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (*.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (*.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (*.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (*.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(/.f64 x (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y))
(/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64)))

simplify113.0ms (3.5%)

Algorithm
egg-herbie
Rules
631×fma-define
560×fmm-def
320×times-frac
308×cube-prod
294×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02154192
14514192
212394132
354414132
Stop Event
node limit
Counts
143 → 104
Calls
Call 1
Inputs
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(+.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(+.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(+.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(+.f64 (*.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (*.f64 (*.f64 z #s(literal -4 binary64)) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal 4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))) (fma.f64 #s(literal 4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) y) (fma.f64 (*.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal 4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64))) y) (fma.f64 #s(literal 4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(fma.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y (*.f64 (*.f64 z #s(literal -4 binary64)) y))
(fma.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (sqrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (sqrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (sqrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (*.f64 y (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (*.f64 y (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (*.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (*.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 (*.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (*.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(/.f64 x (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y))
(/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
Outputs
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (sqrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (sqrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (sqrt.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (fma.f64 z #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) z)) y))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 x (/.f64 y x))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)

eval39.0ms (1.2%)

Compiler

Compiled 2009 to 1324 computations (34.1% saved)

prune18.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1040104
Fresh000
Picked011
Done022
Total1043107
Accuracy
100.0%
Counts
107 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
92.2%
(*.f64 y (-.f64 (*.f64 x (/.f64 x y)) (*.f64 #s(literal 4 binary64) z)))
48.4%
(*.f64 y (*.f64 #s(literal -4 binary64) z))
Compiler

Compiled 84 to 53 computations (36.9% saved)

regimes17.0ms (0.5%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 y (-.f64 (*.f64 x (/.f64 x y)) (*.f64 #s(literal 4 binary64) z)))
(pow.f64 x #s(literal 2 binary64))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
Outputs
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
Calls

7 calls:

3.0ms
x
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
y
2.0ms
(*.f64 x x)
2.0ms
z
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1z
99.6%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
99.6%1(*.f64 x x)
99.6%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
99.6%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes14.0ms (0.4%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 y (-.f64 (*.f64 x (/.f64 x y)) (*.f64 #s(literal 4 binary64) z)))
(pow.f64 x #s(literal 2 binary64))
Outputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Calls

7 calls:

3.0ms
z
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
x
2.0ms
y
2.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
AccuracySegmentsBranch
98.8%1x
98.8%1y
98.8%1z
98.8%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
98.8%1(*.f64 x x)
98.8%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
98.8%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 y (*.f64 #s(literal -4 binary64) z))
Outputs
(*.f64 y (*.f64 #s(literal -4 binary64) z))
Calls

3 calls:

2.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
48.4%1x
48.4%1y
48.4%1z
Compiler

Compiled 12 to 9 computations (25% saved)

simplify5.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative
sub-neg
+-commutative
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02189
13089
24889
35889
46689
56989
Stop Event
done
saturated
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
Outputs
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 z (*.f64 y #s(literal 4 binary64))))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
Compiler

Compiled 31 to 21 computations (32.3% saved)

soundness518.0ms (16.3%)

Rules
425×fma-define
410×times-frac
301×*-commutative
300×fmm-def
283×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036313441
185213223
2235012619
3792412319
038435
1116375
2284375
3713375
41184375
51623375
61715375
71723375
81723375
Stop Event
saturated
node limit
Compiler

Compiled 88 to 52 computations (40.9% saved)

end0.0ms (0%)

preprocess42.0ms (1.3%)

Remove

(sort y z)

(abs x)

Compiler

Compiled 250 to 158 computations (36.8% saved)

Profiling

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