Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, B

Time bar (total: 4.6s)

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 11 to 8 computations (27.3% saved)

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

sample735.0ms (16%)

Results
500.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 184.0ms
ival-mult: 125.0ms (68% of total)
ival-sub: 46.0ms (25% of total)
const: 10.0ms (5.4% of total)
backward-pass: 3.0ms (1.6% of total)
Bogosity

preprocess93.0ms (2%)

Algorithm
egg-herbie
Rules
835×fma-define
358×fma-neg
87×unsub-neg
81×associate-*r*
78×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034332
185296
2199296
3522296
41018296
51664296
62237296
72243296
82243296
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) y) z)
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (neg.f64 y)) z)
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) (neg.f64 z))
(neg.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) y) z))
(neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (neg.f64 y)) z))
(neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) (neg.f64 z)))
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(-.f64 (*.f64 (*.f64 z #s(literal 3 binary64)) y) x)
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) z) y)
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(neg.f64 (fma.f64 x (*.f64 y #s(literal -3 binary64)) z))
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(neg.f64 (fma.f64 x (*.f64 y #s(literal -3 binary64)) z))
(-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) y) z)
(-.f64 (*.f64 y (*.f64 #s(literal 3 binary64) (neg.f64 x))) z)
(-.f64 (*.f64 y (*.f64 x #s(literal -3 binary64))) z)
(-.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z)
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (neg.f64 y)) z)
(-.f64 (*.f64 y (*.f64 #s(literal 3 binary64) (neg.f64 x))) z)
(-.f64 (*.f64 y (*.f64 x #s(literal -3 binary64))) z)
(-.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z)
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) (neg.f64 z))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (neg.f64 z))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(neg.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) y) z))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (neg.f64 z))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (neg.f64 y)) z))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (neg.f64 z))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) (neg.f64 z)))
(-.f64 (*.f64 y (*.f64 #s(literal 3 binary64) (neg.f64 x))) z)
(-.f64 (*.f64 y (*.f64 x #s(literal -3 binary64))) z)
(-.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z)
(-.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) x) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(neg.f64 (fma.f64 x (*.f64 y #s(literal -3 binary64)) z))
(-.f64 (*.f64 (*.f64 z #s(literal 3 binary64)) y) x)
(-.f64 (*.f64 z (*.f64 #s(literal 3 binary64) y)) x)
(-.f64 (*.f64 y (*.f64 #s(literal 3 binary64) z)) x)
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) z) y)
Symmetry

(sort x y)

explain72.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-z
00-0-(*.f64 x #s(literal 3 binary64))
00-0-#s(literal 3 binary64)
00-0-(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
00-0-(*.f64 (*.f64 x #s(literal 3 binary64)) y)
00-0-y
Results
41.0ms512×0valid
Compiler

Compiled 56 to 23 computations (58.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (59.7% of total)
ival-sub: 5.0ms (37.3% of total)
const: 1.0ms (7.5% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 24 to 13 computations (45.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
99.9%
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
Compiler

Compiled 20 to 14 computations (30% saved)

localize83.0ms (1.8%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
cost-diff0
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
cost-diff-6336
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(*.f64 x (*.f64 #s(literal 3 binary64) y))
accuracy100.0%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
accuracy100.0%
(*.f64 x #s(literal 3 binary64))
accuracy99.7%
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
accuracy100.0%
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
accuracy100.0%
(*.f64 #s(literal 3 binary64) y)
accuracy99.7%
(*.f64 x (*.f64 #s(literal 3 binary64) y))
Rules
192×fma-define
127×fma-neg
49×distribute-lft-neg-in
30×unsub-neg
26×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016140
127140
240140
351140
485140
5130140
6243140
7421140
8584140
9707140
10757140
11759140
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(*.f64 x (*.f64 #s(literal 3 binary64) y))
x
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
z
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
z
Outputs
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(fma.f64 x (*.f64 #s(literal 3 binary64) y) (neg.f64 z))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
x
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
z
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(fma.f64 x (*.f64 #s(literal 3 binary64) y) (neg.f64 z))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
z
Results
33.0ms256×0valid
Compiler

Compiled 42 to 11 computations (73.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (69% of total)
ival-sub: 3.0ms (29.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.3%)

Counts
6 → 132
Calls
Call 1
Inputs
#<alt (*.f64 x (*.f64 #s(literal 3 binary64) y))>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)>
#<alt (*.f64 (*.f64 x #s(literal 3 binary64)) y)>
#<alt (*.f64 x #s(literal 3 binary64))>
#<alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)>
Outputs
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))>
Calls

36 calls:

TimeVariablePointExpression
1.0ms
z
@0
(- (* x (* 3 y)) z)
1.0ms
y
@0
(* x (* 3 y))
1.0ms
x
@0
(* x (* 3 y))
1.0ms
x
@inf
(* x (* 3 y))
1.0ms
y
@inf
(* x (* 3 y))

rewrite246.0ms (5.3%)

Algorithm
batch-egg-rewrite
Rules
938×prod-diff
769×log1p-expm1-u
769×expm1-log1p-u
444×log-prod
317×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016114
1216114
22169114
Stop Event
node limit
Counts
6 → 342
Calls
Call 1
Inputs
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) y))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) y))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) y)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) y)))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) (neg.f64 z))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) (+.f64 (neg.f64 z) z))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) (fma.f64 #s(literal -1 binary64) z z))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) z))
(+.f64 (neg.f64 z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)))) (cbrt.f64 (exp.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) (neg.f64 z)))
(pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x) (/.f64 #s(literal 1 binary64) (exp.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (exp.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)))) (exp.f64 (neg.f64 z))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x)))
(log.f64 (*.f64 (exp.f64 (neg.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))))))
(log.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)))) (exp.f64 z)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))))
(exp.f64 (log.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) (neg.f64 z))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z))
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) (neg.f64 z))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 1 binary64) (neg.f64 z))
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 1 binary64) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) #s(literal 1 binary64) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) #s(literal 1 binary64) (+.f64 (neg.f64 z) z))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x y)) (neg.f64 z))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x y)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) (+.f64 (neg.f64 z) z))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) #s(literal 2 binary64)) (+.f64 (neg.f64 z) z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (+.f64 (neg.f64 z) z))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 9 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) y)) x) (neg.f64 z))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 9 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) y)) x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9 binary64))) (*.f64 (cbrt.f64 (*.f64 x #s(literal 3 binary64))) y) (neg.f64 z))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9 binary64))) (*.f64 (cbrt.f64 (*.f64 x #s(literal 3 binary64))) y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(literal 2 binary64)) (neg.f64 z))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(literal 2 binary64)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 x #s(literal 3 binary64))) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (+.f64 (neg.f64 z) z))
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(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) (neg.f64 z))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z))
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) (neg.f64 z))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 1 binary64) (neg.f64 z))
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 1 binary64) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) #s(literal 1 binary64) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) #s(literal 1 binary64) (+.f64 (neg.f64 z) z))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x y)) (neg.f64 z))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x y)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z)) (+.f64 (neg.f64 z) z))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) #s(literal 2 binary64)) (+.f64 (neg.f64 z) z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (+.f64 (neg.f64 z) z))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 9 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) y)) x) (neg.f64 z))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 9 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) y)) x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9 binary64))) (*.f64 (cbrt.f64 (*.f64 x #s(literal 3 binary64))) y) (neg.f64 z))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9 binary64))) (*.f64 (cbrt.f64 (*.f64 x #s(literal 3 binary64))) y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(literal 2 binary64)) (neg.f64 z))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(literal 2 binary64)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 x #s(literal 3 binary64))) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))) (+.f64 (neg.f64 z) z))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) x) (neg.f64 z))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 3 binary64))) y) (neg.f64 z))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 3 binary64))) y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) (neg.f64 z))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 x #s(literal 3 binary64))) (neg.f64 z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (neg.f64 z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)))) (+.f64 (neg.f64 z) z))
(fma.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (+.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1 binary64) z (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) (sqrt.f64 z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 9 binary64)))) (cbrt.f64 (*.f64 #s(literal 3 binary64) y)) (neg.f64 z))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 9 binary64)))) (cbrt.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 #s(literal 3 binary64) y))) (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (neg.f64 z))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 #s(literal 3 binary64) y))) (sqrt.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9 binary64)))) (cbrt.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 z))
(fma.f64 (*.f64 y (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9 binary64)))) (cbrt.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 (*.f64 x #s(literal 3 binary64)))) (sqrt.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 z))
(fma.f64 (*.f64 y (sqrt.f64 (*.f64 x #s(literal 3 binary64)))) (sqrt.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 z))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 z))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 z))
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 z))
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))

simplify275.0ms (6%)

Algorithm
egg-herbie
Rules
403×fma-neg
378×times-frac
338×distribute-lft-in
319×*-commutative
279×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039015046
182314776
2239114662
3737714570
Stop Event
node limit
Counts
474 → 222
Calls
Call 1
Inputs
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
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(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 z))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 z))
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 z))
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 z y) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (-.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 z y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 z y) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (-.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 z y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 z y) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (-.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 z y)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 z y) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (-.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 z y) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (-.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 z y) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (-.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 z y)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 z y) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (-.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 z y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 z y) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (-.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 z y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 z y) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (-.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 z y)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 z y) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (-.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 z y) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (-.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 z y) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (-.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 z y)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 y z) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) y) x))))
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(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
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(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 z))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 z))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 z))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))

eval26.0ms (0.6%)

Compiler

Compiled 3110 to 540 computations (82.6% saved)

prune32.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2193222
Fresh000
Picked022
Done000
Total2195224
Accuracy
100.0%
Counts
224 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.7%
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 z))
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
99.9%
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
99.8%
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
51.5%
(neg.f64 z)
Compiler

Compiled 49 to 34 computations (30.6% saved)

localize116.0ms (2.5%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 y)
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 y))
cost-diff19264
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 z))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 x y))
cost-diff0
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
cost-diff0
(neg.f64 z)
accuracy100.0%
(sqrt.f64 y)
accuracy100.0%
(neg.f64 z)
accuracy99.8%
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 z))
accuracy99.7%
(*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 y))
accuracy100.0%
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
accuracy100.0%
(*.f64 x y)
accuracy99.7%
(*.f64 #s(literal 3 binary64) (*.f64 x y))
accuracy100.0%
(neg.f64 z)
Rules
307×fma-define
242×fma-neg
103×distribute-lft-neg-in
69×unsub-neg
51×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020175
136175
265175
3111175
4171175
5258175
6428175
7722175
81037175
91244175
101310175
111312175
121312175
131314175
Stop Event
saturated
Calls
Call 1
Inputs
(neg.f64 z)
z
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(*.f64 #s(literal 3 binary64) (*.f64 x y))
#s(literal 3 binary64)
(*.f64 x y)
x
y
z
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 z))
(*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 y))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(sqrt.f64 y)
y
(neg.f64 z)
z
Outputs
(neg.f64 z)
z
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(-.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 x (*.f64 #s(literal 3 binary64) y))
#s(literal 3 binary64)
(*.f64 x y)
x
y
z
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 z))
(-.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 y))
(*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 y)))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)
(sqrt.f64 y)
y
(neg.f64 z)
z
Results
26.0ms197×0valid
7.0ms59×0invalid
Compiler

Compiled 54 to 13 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 7.0ms (47.3% of total)
ival-fma: 2.0ms (13.5% of total)
ival-sqrt: 2.0ms (13.5% of total)
ival-sub: 1.0ms (6.8% of total)
ival-neg: 1.0ms (6.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.4%)

Counts
7 → 106
Calls
Call 1
Inputs
#<alt (neg.f64 z)>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)>
#<alt (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 y))>
#<alt (fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 z))>
#<alt (sqrt.f64 y)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 y)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 y)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 y)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)>
#<alt (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 z y))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

42 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(* (* x 3) (sqrt y))
2.0ms
y
@-inf
(* x y)
1.0ms
x
@0
(* (* x 3) (sqrt y))
1.0ms
y
@-inf
(+ (* (* (* x 3) (sqrt y)) (sqrt y)) (neg z))
1.0ms
y
@inf
(* (* x 3) (sqrt y))

rewrite281.0ms (6.1%)

Algorithm
batch-egg-rewrite
Rules
920×log1p-expm1-u
920×expm1-log1p-u
853×prod-diff
121×associate-*r*
105×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020127
1246115
23206115
Stop Event
node limit
Counts
7 → 762
Calls
Call 1
Inputs
(neg.f64 z)
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 x y)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 y))
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 z))
(sqrt.f64 y)
Outputs
(+.f64 #s(literal 0 binary64) z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
z
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y))) #s(literal 3 binary64))
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 y))
(log.f64 (exp.f64 (sqrt.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))

simplify459.0ms (10%)

Algorithm
egg-herbie
Rules
452×fma-neg
372×cancel-sign-sub-inv
353×+-commutative
328×distribute-rgt-neg-in
313×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079928730
1179726606
2483526604
Stop Event
node limit
Counts
868 → 495
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 z y))))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 y)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 y)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 y)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal 3 binary64) x)))
(*.f64 #s(literal -3 binary64) (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 z y))))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))) (log.f64 (sqrt.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(+.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(+.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) (fma.f64 z #s(literal 1 binary64) z))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -1 binary64) z z))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) (fma.f64 #s(literal 1 binary64) z z))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) z))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 z) z))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) (fma.f64 z #s(literal -1 binary64) z))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)) z))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 z))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 (*.f64 (cbrt.f64 z) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (sqrt.f64 z)))))
(+.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 z #s(literal 1 binary64) z))
(+.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(+.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 #s(literal -1 binary64) z z))
(+.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 #s(literal 1 binary64) z z))
(+.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) z))
(+.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 z) z))
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(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (sqrt.f64 z)))))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)) z) (fma.f64 z #s(literal 1 binary64) z))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)) z) (fma.f64 #s(literal -1 binary64) z z))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)) z) (fma.f64 #s(literal 1 binary64) z z))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)) z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) z))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)) z) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 z) z))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)) z) (fma.f64 z #s(literal -1 binary64) z))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)) z))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 z))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)) (neg.f64 (*.f64 (cbrt.f64 z) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)) (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (sqrt.f64 z)))))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) z) (fma.f64 z #s(literal 1 binary64) z))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) z) (fma.f64 #s(literal -1 binary64) z z))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) z) (fma.f64 #s(literal 1 binary64) z z))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) z))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) z) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 z) z))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) z) (fma.f64 z #s(literal -1 binary64) z))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)) z))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 z))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (*.f64 (cbrt.f64 z) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (sqrt.f64 z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(-.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 0 binary64)) z)
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y))) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))) (+.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(exp.f64 (log.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 y))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 y))
(log.f64 (exp.f64 (sqrt.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 z x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x))
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(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
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(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
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(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
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(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
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(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
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(+.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 z #s(literal 2 binary64)))
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(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))) (pow.f64 y #s(literal 1/4 binary64))) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
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(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
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(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
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(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))) (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (*.f64 (cbrt.f64 z) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 y)))) (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
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(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
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(+.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (+.f64 z z))
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(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
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(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
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(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(+.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (fma.f64 #s(literal 1 binary64) z z))
(+.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (+.f64 z z))
(+.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 z #s(literal 2 binary64)))
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(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(+.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 z) z))
(+.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (+.f64 z z))
(+.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 z #s(literal 2 binary64)))
(+.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (fma.f64 z #s(literal -1 binary64) z))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(+.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (fma.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)) z))
(+.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (+.f64 z z))
(+.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 z #s(literal 2 binary64)))
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(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
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(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
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(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(+.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) z) (fma.f64 z #s(literal 1 binary64) z))
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(+.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 z #s(literal 2 binary64)))
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(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
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(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
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(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
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(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
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(+.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) (neg.f64 (*.f64 (cbrt.f64 z) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
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(+.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (sqrt.f64 z)))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(+.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) z) (fma.f64 z #s(literal 1 binary64) z))
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(+.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(+.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
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(sqrt.f64 y)
(pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64))
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 y)
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 y)
(fabs.f64 (sqrt.f64 y))
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 y)
(log.f64 (exp.f64 (sqrt.f64 y)))
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 y)
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 y)
(exp.f64 (log.f64 (sqrt.f64 y)))
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 y)
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 y)

eval73.0ms (1.6%)

Compiler

Compiled 11427 to 1151 computations (89.9% saved)

prune88.0ms (1.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New5704574
Fresh000
Picked123
Done112
Total5727579
Accuracy
100.0%
Counts
579 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
99.8%
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
50.1%
(*.f64 x (*.f64 #s(literal 3 binary64) y))
50.0%
(*.f64 #s(literal 3 binary64) (*.f64 x y))
51.5%
(neg.f64 z)
2.2%
z
Compiler

Compiled 54 to 39 computations (27.8% saved)

localize58.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(*.f64 x (*.f64 #s(literal 3 binary64) y))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 x y))
accuracy100.0%
(*.f64 x y)
accuracy99.8%
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
accuracy100.0%
(*.f64 #s(literal 3 binary64) y)
accuracy99.7%
(*.f64 x (*.f64 #s(literal 3 binary64) y))
accuracy100.0%
(*.f64 x y)
accuracy99.6%
(*.f64 #s(literal 3 binary64) (*.f64 x y))
Rules
*-commutative
fma-define
associate-*r*
associate-*l*
fma-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016133
125133
230133
333133
Stop Event
saturated
Calls
Call 1
Inputs
z
(*.f64 #s(literal 3 binary64) (*.f64 x y))
#s(literal 3 binary64)
(*.f64 x y)
x
y
(*.f64 x (*.f64 #s(literal 3 binary64) y))
x
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
(*.f64 x y)
x
y
#s(literal 3 binary64)
z
Outputs
z
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 x (*.f64 #s(literal 3 binary64) y))
#s(literal 3 binary64)
(*.f64 x y)
x
y
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
x
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 x y)
x
y
#s(literal 3 binary64)
z
Results
37.0ms256×0valid
Compiler

Compiled 40 to 10 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (66.4% of total)
ival-fma: 3.0ms (28.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0.1%)

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

9 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(+ (* (* x y) 3) z)
0.0ms
x
@-inf
(+ (* (* x y) 3) z)
0.0ms
x
@0
(+ (* (* x y) 3) z)
0.0ms
x
@inf
(+ (* (* x y) 3) z)
0.0ms
y
@inf
(+ (* (* x y) 3) z)

rewrite120.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
436×log1p-expm1-u
436×expm1-log1p-u
419×add-exp-log
404×add-log-exp
389×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01324
110824
2118724
Stop Event
node limit
Counts
1 → 40
Calls
Call 1
Inputs
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
Outputs
(+.f64 z (*.f64 x (*.f64 y #s(literal 3 binary64))))
(+.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) z)
(+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))
(+.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) z)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))))
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)) (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) z))
(pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))) (sqrt.f64 (log.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 2 binary64)))

simplify109.0ms (2.4%)

Algorithm
egg-herbie
Rules
482×times-frac
463×distribute-lft-neg-in
432×fma-define
350×fma-neg
313×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01492256
13202204
210142188
333332188
461312188
Stop Event
node limit
Counts
76 → 72
Calls
Call 1
Inputs
z
(+.f64 z (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(+.f64 z (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(+.f64 z (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 z x)))
(*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 z x)))
(*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 z x)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
z
(+.f64 z (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(+.f64 z (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(+.f64 z (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 z y)))
(*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 z y)))
(*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 z y)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(+.f64 z (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(+.f64 z (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(+.f64 z (*.f64 #s(literal 3 binary64) (*.f64 x y)))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z))))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(+.f64 z (*.f64 x (*.f64 y #s(literal 3 binary64))))
(+.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) z)
(+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))
(+.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) z)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))))
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)) (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) z))
(pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))) (sqrt.f64 (log.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 2 binary64)))
Outputs
z
(+.f64 z (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(+.f64 z (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(+.f64 z (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 z x)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 z x)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 z x)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
z
(+.f64 z (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(+.f64 z (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(+.f64 z (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 z y)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 z y)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 z y)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(+.f64 z (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(+.f64 z (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(+.f64 z (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(+.f64 z (*.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(+.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) z)
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(+.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) z)
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))))
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) (log.f64 (E.f64)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)) #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)) (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 3 binary64)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (cbrt.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))) (cbrt.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) #s(literal 5/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 3 binary64)))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (cbrt.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))) (cbrt.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) #s(literal 5/2 binary64))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) z))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 z (*.f64 #s(literal 3 binary64) (*.f64 x y)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z (*.f64 x (*.f64 y #s(literal -3 binary64)))) (pow.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) z))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)) #s(literal 3 binary64))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)) #s(literal 2 binary64))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(pow.f64 (E.f64) (log.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(pow.f64 (E.f64) (log.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))
(pow.f64 (E.f64) (log.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))) (sqrt.f64 (log.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))) (sqrt.f64 (log.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) (sqrt.f64 (log.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(log.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 3 binary64)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(exp.f64 (log.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 3 binary64)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))) #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)

eval22.0ms (0.5%)

Compiler

Compiled 1830 to 437 computations (76.1% saved)

prune28.0ms (0.6%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1610161
Fresh000
Picked044
Done033
Total1617168
Accuracy
100.0%
Counts
168 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
99.8%
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
50.1%
(*.f64 x (*.f64 #s(literal 3 binary64) y))
50.0%
(*.f64 #s(literal 3 binary64) (*.f64 x y))
51.5%
(neg.f64 z)
2.2%
z
Compiler

Compiled 108 to 57 computations (47.2% saved)

regimes21.0ms (0.5%)

Counts
9 → 1
Calls
Call 1
Inputs
z
(neg.f64 z)
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 z))
Outputs
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
Calls

6 calls:

4.0ms
x
4.0ms
(*.f64 x #s(literal 3 binary64))
4.0ms
z
3.0ms
y
3.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
99.9%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
99.9%1(*.f64 x #s(literal 3 binary64))
Compiler

Compiled 36 to 27 computations (25% saved)

regimes11.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
z
(neg.f64 z)
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
Outputs
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
Calls

3 calls:

5.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.2%)

Counts
4 → 3
Calls
Call 1
Inputs
z
(neg.f64 z)
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
Outputs
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(neg.f64 z)
(*.f64 x (*.f64 #s(literal 3 binary64) y))
Calls

3 calls:

2.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
73.6%3x
77.8%3y
73.6%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Counts
3 → 3
Calls
Call 1
Inputs
z
(neg.f64 z)
(*.f64 #s(literal 3 binary64) (*.f64 x y))
Outputs
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(neg.f64 z)
(*.f64 #s(literal 3 binary64) (*.f64 x y))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
77.8%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes193.0ms (4.2%)

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

3 calls:

190.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
51.5%1x
51.5%1z
51.5%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
z
Outputs
z
Calls

3 calls:

1.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
2.2%1x
2.2%1y
2.2%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch22.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
6.794395230968783e+105
5.545251199175998e+106
12.0ms
-5.194569152263764e-39
-2.3689678036103082e-45
Results
12.0ms240×0valid
Compiler

Compiled 241 to 192 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (76.7% of total)
ival-sub: 1.0ms (19.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
6.794395230968783e+105
5.545251199175998e+106
11.0ms
-5.194569152263764e-39
-2.3689678036103082e-45
Results
12.0ms240×0valid
Compiler

Compiled 241 to 192 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (60.4% of total)
ival-sub: 1.0ms (20.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
033184
151184
255184
356184
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(if (<=.f64 y #s(literal -7509228150242855/1532495540865888858358347027150309183618739122183602176 binary64)) (*.f64 x (*.f64 #s(literal 3 binary64) y)) (if (<=.f64 y #s(literal 11500000000000000945062190262512698306872936524049187354703856297770225797847011807258242124006018709979136 binary64)) (neg.f64 z) (*.f64 x (*.f64 #s(literal 3 binary64) y))))
(if (<=.f64 y #s(literal -7815727258416033/1532495540865888858358347027150309183618739122183602176 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x y)) (if (<=.f64 y #s(literal 6999999999999999822437602818784610565844902602477141479494462696014131772289754164755406162944446060036096 binary64)) (neg.f64 z) (*.f64 #s(literal 3 binary64) (*.f64 x y))))
(neg.f64 z)
z
Outputs
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(if (<=.f64 y #s(literal -7509228150242855/1532495540865888858358347027150309183618739122183602176 binary64)) (*.f64 x (*.f64 #s(literal 3 binary64) y)) (if (<=.f64 y #s(literal 11500000000000000945062190262512698306872936524049187354703856297770225797847011807258242124006018709979136 binary64)) (neg.f64 z) (*.f64 x (*.f64 #s(literal 3 binary64) y))))
(if (or (<=.f64 y #s(literal -7509228150242855/1532495540865888858358347027150309183618739122183602176 binary64)) (not (<=.f64 y #s(literal 11500000000000000945062190262512698306872936524049187354703856297770225797847011807258242124006018709979136 binary64)))) (*.f64 x (*.f64 #s(literal 3 binary64) y)) (neg.f64 z))
(if (<=.f64 y #s(literal -7815727258416033/1532495540865888858358347027150309183618739122183602176 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x y)) (if (<=.f64 y #s(literal 6999999999999999822437602818784610565844902602477141479494462696014131772289754164755406162944446060036096 binary64)) (neg.f64 z) (*.f64 #s(literal 3 binary64) (*.f64 x y))))
(if (or (<=.f64 y #s(literal -7815727258416033/1532495540865888858358347027150309183618739122183602176 binary64)) (not (<=.f64 y #s(literal 6999999999999999822437602818784610565844902602477141479494462696014131772289754164755406162944446060036096 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x y)) (neg.f64 z))
(neg.f64 z)
z

soundness1.3s (27.6%)

Rules
920×log1p-expm1-u
920×expm1-log1p-u
853×prod-diff
835×fma-define
452×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034332
185296
2199296
3522296
41018296
51664296
62237296
72243296
82243296
020127
1246115
23206115
079928730
1179726606
2483526604
039015046
182314776
2239114662
3737714570
Stop Event
done
node limit
node limit
node limit
saturated
Compiler

Compiled 152 to 78 computations (48.7% saved)

preprocess85.0ms (1.9%)

Compiler

Compiled 204 to 120 computations (41.2% saved)

end0.0ms (0%)

Profiling

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