Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

Time bar (total: 4.2s)

analyze0.0ms (0%)

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

Compiled 13 to 9 computations (30.8% saved)

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

sample790.0ms (18.8%)

Results
479.0ms8255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 234.0ms
ival-add: 88.0ms (37.6% of total)
ival-mult: 70.0ms (29.9% of total)
ival-div: 63.0ms (26.9% of total)
const: 11.0ms (4.7% of total)
backward-pass: 3.0ms (1.3% of total)
Bogosity

preprocess204.0ms (4.8%)

Algorithm
egg-herbie
Rules
1010×fma-neg
531×fma-define
206×distribute-rgt-in
150×sub-neg
138×unsub-neg
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
040435
199371
2275371
3801323
41690297
52822292
63298292
73484292
83535292
93543292
103543276
114081276
124081276
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 y (neg.f64 x))) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) x)) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (neg.f64 z))
(neg.f64 (+.f64 (+.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 y (neg.f64 x))) z))
(neg.f64 (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) x)) z))
(neg.f64 (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (neg.f64 z)))
(+.f64 (+.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x y)) z)
(+.f64 (+.f64 (/.f64 z #s(literal 2 binary64)) (*.f64 y z)) x)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 z x)) y)
Outputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
(+.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 x y z))
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
(+.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 x y z))
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
(+.f64 (+.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 y (neg.f64 x))) z)
(+.f64 z (+.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 x (neg.f64 y))))
(-.f64 z (fma.f64 x y (/.f64 x #s(literal 2 binary64))))
(+.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
(fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) x)) z)
(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x (neg.f64 y)) z))
(+.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 y (neg.f64 x) z))
(+.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 z (*.f64 x y)))
(-.f64 z (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(+.f64 z (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (neg.f64 z))
(-.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x y)) z)
(-.f64 (fma.f64 x y (/.f64 x #s(literal 2 binary64))) z)
(-.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)
(neg.f64 (+.f64 (+.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 y (neg.f64 x))) z))
(-.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x y)) z)
(-.f64 (fma.f64 x y (/.f64 x #s(literal 2 binary64))) z)
(-.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)
(neg.f64 (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) x)) z))
(neg.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x (neg.f64 y)) z)))
(-.f64 (/.f64 x #s(literal -2 binary64)) (fma.f64 y (neg.f64 x) z))
(+.f64 (*.f64 x y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) z))
(-.f64 (*.f64 x (+.f64 y #s(literal -1/2 binary64))) z)
(neg.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) z))
(neg.f64 (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (neg.f64 z)))
(+.f64 z (+.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 x (neg.f64 y))))
(-.f64 z (fma.f64 x y (/.f64 x #s(literal 2 binary64))))
(+.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
(fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z)
(+.f64 (+.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x y)) z)
(+.f64 z (+.f64 (*.f64 x y) (/.f64 y #s(literal 2 binary64))))
(+.f64 z (fma.f64 x y (/.f64 y #s(literal 2 binary64))))
(+.f64 z (fma.f64 x y (*.f64 y #s(literal 1/2 binary64))))
(+.f64 z (*.f64 y (+.f64 x #s(literal 1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal 1/2 binary64)) z)
(+.f64 (+.f64 (/.f64 z #s(literal 2 binary64)) (*.f64 y z)) x)
(+.f64 x (+.f64 (/.f64 z #s(literal 2 binary64)) (*.f64 y z)))
(+.f64 x (fma.f64 y z (/.f64 z #s(literal 2 binary64))))
(+.f64 x (fma.f64 y z (*.f64 z #s(literal 1/2 binary64))))
(+.f64 x (*.f64 z (+.f64 y #s(literal 1/2 binary64))))
(fma.f64 z (+.f64 y #s(literal 1/2 binary64)) x)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 z x)) y)
(+.f64 y (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x z)))
(+.f64 y (fma.f64 x z (/.f64 x #s(literal 2 binary64))))
(+.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 x z y))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x z y))
(+.f64 y (*.f64 x (+.f64 #s(literal 1/2 binary64) z)))
(+.f64 y (*.f64 x (+.f64 z #s(literal 1/2 binary64))))
(fma.f64 x (+.f64 z #s(literal 1/2 binary64)) y)

explain88.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 y x)
00-0-(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
00-0-(/.f64 x #s(literal 2 binary64))
00-0-z
00-0-(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
00-0-#s(literal 2 binary64)
00-0-y
Results
49.0ms512×256valid
Compiler

Compiled 72 to 38 computations (47.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 10.0ms (43.2% of total)
ival-add: 8.0ms (34.6% of total)
ival-mult: 4.0ms (17.3% of total)
const: 1.0ms (4.3% of total)

eval1.0ms (0%)

Compiler

Compiled 33 to 19 computations (42.4% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
100.0%
(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
100.0%
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
Compiler

Compiled 31 to 21 computations (32.3% saved)

localize72.0ms (1.7%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
100.0%
(+.f64 (*.f64 x y) z)
100.0%
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
100.0%
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
Results
52.0ms256×256valid
Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 7.0ms (21.7% of total)
ival-add: 7.0ms (21.7% of total)
ival-mult: 7.0ms (21.7% of total)
ival-sub: 6.0ms (18.6% of total)
<compiled-spec>: 4.0ms (12.4% of total)
const: 1.0ms (3.1% of total)

series16.0ms (0.4%)

Counts
4 → 132
Calls
Call 1
Inputs
#<alt (*.f64 x (-.f64 y #s(literal -1/2 binary64)))>
#<alt (+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)>
#<alt (+.f64 (*.f64 x y) z)>
#<alt (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)>
Outputs
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt z>
#<alt (+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (+.f64 z (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)))>
#<alt (+.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)))>
#<alt (+.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 z y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 z x)))>
#<alt (*.f64 x (+.f64 y (/.f64 z x)))>
#<alt (*.f64 x (+.f64 y (/.f64 z x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt z>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 z y)))>
#<alt (*.f64 y (+.f64 x (/.f64 z y)))>
#<alt (*.f64 y (+.f64 x (/.f64 z y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (+.f64 z (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)))>
#<alt (+.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)))>
#<alt (+.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 z y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))>
Calls

33 calls:

TimeVariablePointExpression
4.0ms
x
@0
(+ (* x y) z)
1.0ms
y
@inf
(+ (* x y) z)
1.0ms
y
@-inf
(* x (- y -1/2))
1.0ms
x
@0
(* x (- y -1/2))
1.0ms
x
@inf
(+ (* x (- y -1/2)) z)

rewrite276.0ms (6.5%)

Algorithm
batch-egg-rewrite
Rules
1137×log1p-expm1-u
1137×expm1-log1p-u
554×fma-define
297×fma-neg
100×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01985
125885
2311385
Stop Event
node limit
Counts
4 → 184
Calls
Call 1
Inputs
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(+.f64 (*.f64 x y) z)
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
Outputs
(+.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x y) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 y y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (fma.f64 y y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) x) (+.f64 y #s(literal -1/2 binary64)))
(pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1/2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x y))
(fma.f64 y x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 y x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)))
(*.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z) (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 1 binary64)))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
(fma.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64) z)
(fma.f64 z #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 y #s(literal 1/2 binary64))) x) z)
(fma.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 y #s(literal 1/2 binary64))) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))) x) z)
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y #s(literal 1/2 binary64))) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y #s(literal 1/2 binary64))) z)
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 y #s(literal 1/2 binary64))) z)
(fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) z)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 x y) z)))
(*.f64 (fma.f64 x y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x y z))
(*.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y z)))
(*.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) z) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x y) z))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 z (*.f64 x y)))
(pow.f64 (fma.f64 x y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y z))))
(cbrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y z)))
(log1p.f64 (expm1.f64 (fma.f64 x y z)))
(exp.f64 (log.f64 (fma.f64 x y z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y z)) #s(literal 1 binary64)))
(fma.f64 x y z)
(fma.f64 y x z)
(fma.f64 z #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) z)
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) z)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) z)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) z)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) z)
(+.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)
(+.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)))
(*.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z) (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 1 binary64)))

simplify184.0ms (4.4%)

Algorithm
egg-herbie
Rules
628×times-frac
506×distribute-lft-in
505×distribute-rgt-in
286×*-commutative
244×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03649947
18629725
222919533
379709533
Stop Event
node limit
Counts
316 → 218
Calls
Call 1
Inputs
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
z
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(+.f64 z (*.f64 #s(literal 1/2 binary64) x))
(+.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)))
(+.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)))
(+.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)))
(*.f64 x y)
(*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 z y))))
(*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 z y))))
(*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 z y))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 x y)
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
z
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(+.f64 z (*.f64 #s(literal 1/2 binary64) x))
(+.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)))
(+.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)))
(+.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)))
(*.f64 x y)
(*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 z y))))
(*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 z y))))
(*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 z y))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))
(+.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x y) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 y y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (-.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (fma.f64 y y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/4 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z) (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 1 binary64)))
Outputs
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) x))
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) x))
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) x))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) x))
z
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
(*.f64 x (+.f64 y (+.f64 (/.f64 z x) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
(*.f64 x (+.f64 y (+.f64 (/.f64 z x) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
(*.f64 x (+.f64 y (+.f64 (/.f64 z x) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
(*.f64 x (+.f64 y (+.f64 (/.f64 z x) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
(*.f64 x (+.f64 y (+.f64 (/.f64 z x) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
(*.f64 x (+.f64 y (+.f64 (/.f64 z x) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
(+.f64 z (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
(fma.f64 x #s(literal 1/2 binary64) z)
(+.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(*.f64 x y)
(*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 z y))))
(*.f64 y (+.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 z y))))
(*.f64 y (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) x) (/.f64 z y)))
(*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 z y))))
(*.f64 y (+.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 z y))))
(*.f64 y (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) x) (/.f64 z y)))
(*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 z y))))
(*.f64 y (+.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 z y))))
(*.f64 y (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) x) (/.f64 z y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) z) y))))
(*.f64 (-.f64 (neg.f64 x) (/.f64 (fma.f64 x #s(literal 1/2 binary64) z) y)) (neg.f64 y))
(*.f64 y (+.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) z) y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) z) y))))
(*.f64 (-.f64 (neg.f64 x) (/.f64 (fma.f64 x #s(literal 1/2 binary64) z) y)) (neg.f64 y))
(*.f64 y (+.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) z) y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) z) y))))
(*.f64 (-.f64 (neg.f64 x) (/.f64 (fma.f64 x #s(literal 1/2 binary64) z) y)) (neg.f64 y))
(*.f64 y (+.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) z) y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) y) z))))
(*.f64 z (fma.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) y) z))))
(*.f64 z (fma.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) y) z))))
(*.f64 z (fma.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) y) z)) #s(literal -1 binary64))))
(*.f64 z (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) z))))
(*.f64 (fma.f64 x (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) y) z)) #s(literal -1 binary64))))
(*.f64 z (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) z))))
(*.f64 (fma.f64 x (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) y) z)) #s(literal -1 binary64))))
(*.f64 z (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) z))))
(*.f64 (fma.f64 x (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) #s(literal -1 binary64)) (neg.f64 z))
z
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (+.f64 y (/.f64 z x)))
z
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 x y)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 z (*.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 z (*.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 z (*.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))
z
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
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(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 z (-.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z) (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 x (+.f64 #s(literal 1/2 binary64) y) (neg.f64 z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 x (+.f64 #s(literal 1/2 binary64) y) (neg.f64 z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z))
(pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 3 binary64))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 2 binary64))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 2 binary64)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(log.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 3 binary64)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)))
(+.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(exp.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 1 binary64)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)

eval38.0ms (0.9%)

Compiler

Compiled 2867 to 1585 computations (44.7% saved)

prune35.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2144218
Fresh000
Picked123
Done000
Total2156221
Accuracy
100.0%
Counts
221 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
100.0%
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
77.4%
(+.f64 (*.f64 x y) z)
62.5%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
85.7%
(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
40.0%
z
Compiler

Compiled 54 to 37 computations (31.5% saved)

localize58.0ms (1.4%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 x y) z)
100.0%
(+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x))
85.7%
(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
Results
42.0ms256×256valid
Compiler

Compiled 53 to 23 computations (56.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-add: 11.0ms (53.7% of total)
ival-mult: 7.0ms (34.2% of total)
ival-div: 2.0ms (9.8% of total)
const: 1.0ms (4.9% of total)

series8.0ms (0.2%)

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

18 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(* x (+ (+ 1/2 y) (/ z x)))
1.0ms
x
@-inf
(* x (+ (+ 1/2 y) (/ z x)))
1.0ms
x
@0
(* x (+ (+ 1/2 y) (/ z x)))
0.0ms
y
@0
(* x (+ (+ 1/2 y) (/ z x)))
0.0ms
x
@inf
(* x (+ (+ 1/2 y) (/ z x)))

rewrite117.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
1144×log1p-expm1-u
1144×expm1-log1p-u
421×fma-define
189×fma-neg
164×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01465
118465
2293365
Stop Event
node limit
Counts
2 → 138
Calls
Call 1
Inputs
(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
(+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x))
Outputs
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 x z) x))
(+.f64 (/.f64 (*.f64 x z) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (+.f64 y (/.f64 z x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 y (/.f64 z x)) x))
(+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x z) x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x z) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (-.f64 (*.f64 (/.f64 (*.f64 x z) x) (/.f64 (*.f64 x z) x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 x z) x)))))
(/.f64 (fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (neg.f64 (*.f64 (/.f64 (*.f64 x z) x) (/.f64 (*.f64 x z) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 x z) x)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) x) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) x) (+.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z x))))
(pow.f64 (*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (+.f64 y (/.f64 z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x z) x))
(fma.f64 x (/.f64 z x) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (+.f64 y (/.f64 z x)) x))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (/.f64 (*.f64 x z) x))
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (/.f64 z x) x (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 x z) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 z x)) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) y)) x) (/.f64 (*.f64 x z) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 z x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 x z) x))
(fma.f64 (sqrt.f64 (/.f64 z x)) (*.f64 (sqrt.f64 (/.f64 z x)) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y)) x) (/.f64 (*.f64 x z) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 x z) x))
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x z) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 x z) x)) (cbrt.f64 (/.f64 (*.f64 x z) x))) (cbrt.f64 (/.f64 (*.f64 x z) x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) (/.f64 (*.f64 x z) x))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 x z) x)) (sqrt.f64 (/.f64 (*.f64 x z) x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) (/.f64 (*.f64 x z) x))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 z x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 z x))) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y))) (/.f64 (*.f64 x z) x))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 x)) (/.f64 (*.f64 x z) x))
(fma.f64 (*.f64 (/.f64 z x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (*.f64 (/.f64 z x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 x z) x))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 x z) x))
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (/.f64 (*.f64 x z) x))
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 (*.f64 x z) x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z x)))) (/.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z x)))))
(*.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
(*.f64 (cbrt.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))) (pow.f64 (cbrt.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))))
(*.f64 (sqrt.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))) (sqrt.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))))
(*.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z x))) (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z x))))
(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) x (*.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) z)) (*.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) x))
(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 x z) (*.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (/.f64 x z)))
(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 x) (*.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (neg.f64 z))) (*.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) x (*.f64 (-.f64 #s(literal 1/2 binary64) y) z)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x z) (*.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 x z)))
(/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (neg.f64 x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (neg.f64 z))) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (neg.f64 x)))
(/.f64 (fma.f64 z (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (*.f64 x (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 z (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (+.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x z) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (*.f64 (/.f64 x z) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x z) (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 (/.f64 x z) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (fma.f64 (neg.f64 z) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 x) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (*.f64 (neg.f64 x) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z x)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 y (/.f64 z x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (+.f64 y (/.f64 z x)) (+.f64 y (/.f64 z x))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 y (/.f64 z x)) (+.f64 y (/.f64 z x)))) (-.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(/.f64 (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (-.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))
(pow.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))))
(cbrt.f64 (pow.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))))
(log1p.f64 (expm1.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))))
(exp.f64 (log.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (/.f64 z x))
(fma.f64 z (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 z x) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x))
(fma.f64 #s(literal 1 binary64) (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) (+.f64 y (/.f64 z x)) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (/.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (/.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(fma.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (/.f64 z x))
(fma.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 z x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) z (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 z x))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 y (/.f64 z x))) (cbrt.f64 (+.f64 y (/.f64 z x)))) (cbrt.f64 (+.f64 y (/.f64 z x))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (+.f64 y (/.f64 z x))) (sqrt.f64 (+.f64 y (/.f64 z x))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)) (+.f64 #s(literal 1/2 binary64) y))

simplify122.0ms (2.9%)

Algorithm
egg-herbie
Rules
575×associate-/r*
288×associate-*r/
262×cancel-sign-sub-inv
252×associate-*l/
229×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04048449
110467876
232687822
Stop Event
node limit
Counts
210 → 210
Calls
Call 1
Inputs
z
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
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(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 x z) (*.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (/.f64 x z)))
(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 x) (*.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (neg.f64 z))) (*.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) x (*.f64 (-.f64 #s(literal 1/2 binary64) y) z)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x z) (*.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 x z)))
(/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (neg.f64 x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (neg.f64 z))) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (neg.f64 x)))
(/.f64 (fma.f64 z (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (*.f64 x (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 z (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (+.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x z) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (*.f64 (/.f64 x z) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x z) (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 (/.f64 x z) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (fma.f64 (neg.f64 z) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 x) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (*.f64 (neg.f64 x) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z x)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 y (/.f64 z x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (+.f64 y (/.f64 z x)) (+.f64 y (/.f64 z x))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 y (/.f64 z x)) (+.f64 y (/.f64 z x)))) (-.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(/.f64 (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (-.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))
(pow.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))))
(cbrt.f64 (pow.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))))
(log1p.f64 (expm1.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))))
(exp.f64 (log.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (/.f64 z x))
(fma.f64 z (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 z x) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x))
(fma.f64 #s(literal 1 binary64) (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) (+.f64 y (/.f64 z x)) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (/.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (/.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(fma.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (/.f64 z x))
(fma.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 z x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) z (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 z x))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 y (/.f64 z x))) (cbrt.f64 (+.f64 y (/.f64 z x)))) (cbrt.f64 (+.f64 y (/.f64 z x))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (+.f64 y (/.f64 z x))) (sqrt.f64 (+.f64 y (/.f64 z x))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)) (+.f64 #s(literal 1/2 binary64) y))
Outputs
z
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(fma.f64 x #s(literal 1/2 binary64) z)
(+.f64 (*.f64 x y) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+.f64 (*.f64 x y) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+.f64 (*.f64 x y) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 z x))) y)))
(*.f64 y (+.f64 x (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 z x)) y))))
(*.f64 y (+.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) z) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 z x))) y)))
(*.f64 y (+.f64 x (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 z x)) y))))
(*.f64 y (+.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) z) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 z x))) y)))
(*.f64 y (+.f64 x (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 z x)) y))))
(*.f64 y (+.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) z) y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 z x))) y)))))
(*.f64 y (+.f64 x (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 z x)) y))))
(*.f64 y (+.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) z) y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 z x))) y)))))
(*.f64 y (+.f64 x (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 z x)) y))))
(*.f64 y (+.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) z) y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 z x))) y)))))
(*.f64 y (+.f64 x (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 z x)) y))))
(*.f64 y (+.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) z) y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
(*.f64 z (fma.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
(*.f64 z (fma.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
(*.f64 z (fma.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (fma.f64 x (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (fma.f64 x (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (fma.f64 x (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) #s(literal -1 binary64)) (neg.f64 z))
(+.f64 #s(literal 1/2 binary64) (/.f64 z x))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 z (*.f64 x y)))))
(*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 z (*.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 z (*.f64 x y)))))
(*.f64 y (+.f64 (/.f64 z (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))
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(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) x (*.f64 z (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) (*.f64 x (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 z (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) (*.f64 x (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 z (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (*.f64 x (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 z (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) x (*.f64 z (-.f64 #s(literal 1/2 binary64) y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (+.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x z) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (*.f64 (/.f64 x z) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 x z) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (/.f64 x z)))
(*.f64 (/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 x z) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 x (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) z)
(*.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 x z) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) x) z)
(/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x z) (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 (/.f64 x z) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x z) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z))
(*.f64 (/.f64 (fma.f64 (/.f64 x z) (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) z)
(/.f64 (fma.f64 (neg.f64 z) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 x) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (*.f64 (neg.f64 x) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 x) (*.f64 (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (neg.f64 z))) (*.f64 (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 z (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))) (*.f64 x (neg.f64 (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 z (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))))) (*.f64 (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (neg.f64 x) (*.f64 (neg.f64 z) (-.f64 #s(literal 1/2 binary64) y))) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (fma.f64 z (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))))) (neg.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (fma.f64 z (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 y (/.f64 z x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (+.f64 y (/.f64 z x)) (+.f64 y (/.f64 z x))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 y (/.f64 z x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 y (/.f64 z x)) (-.f64 (+.f64 y (/.f64 z x)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 y (/.f64 z x)) #s(literal 3 binary64))) (fma.f64 (+.f64 y (/.f64 z x)) (+.f64 y (+.f64 (/.f64 z x) #s(literal -1/2 binary64))) #s(literal 1/4 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 y (/.f64 z x)) (+.f64 y (/.f64 z x)))) (-.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(/.f64 (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (-.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
(pow.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(pow.f64 (cbrt.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))) #s(literal 3 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(pow.f64 (pow.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(pow.f64 (sqrt.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))) #s(literal 2 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(sqrt.f64 (pow.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))) #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(log.f64 (exp.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(cbrt.f64 (pow.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x))) #s(literal 3 binary64)))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(expm1.f64 (log1p.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(log1p.f64 (expm1.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(exp.f64 (log.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(exp.f64 (*.f64 (log.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 y #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (/.f64 z x))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 z (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 (/.f64 z x) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) (+.f64 y (/.f64 z x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)) (+.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (/.f64 z x))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (/.f64 z x))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x) (+.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)) (+.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (/.f64 z x))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x) (+.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 z x))
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 z x))
(+.f64 (/.f64 z x) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 y (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) z (+.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 z x))
(+.f64 (/.f64 z x) (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 y (/.f64 z x))) (cbrt.f64 (+.f64 y (/.f64 z x)))) (cbrt.f64 (+.f64 y (/.f64 z x))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 (sqrt.f64 (+.f64 y (/.f64 z x))) (sqrt.f64 (+.f64 y (/.f64 z x))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)) (+.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (/.f64 z (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)) (+.f64 #s(literal 1/2 binary64) y))
(+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 x))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x) (+.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)) (+.f64 #s(literal 1/2 binary64) y))
(+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 x))))
(fma.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x) (+.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(fma.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)) (+.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (/.f64 z (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))

eval57.0ms (1.4%)

Compiler

Compiled 4276 to 2151 computations (49.7% saved)

prune138.0ms (3.3%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New2723275
Fresh000
Picked134
Done022
Total2738281
Accuracy
100.0%
Counts
281 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
100.0%
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
77.4%
(+.f64 (*.f64 x y) z)
62.5%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
63.1%
(*.f64 x (+.f64 y (/.f64 z x)))
61.2%
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
39.5%
(*.f64 x y)
40.0%
z
Compiler

Compiled 66 to 45 computations (31.8% saved)

localize42.0ms (1%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 y (/.f64 z x))
85.6%
(*.f64 x (+.f64 y (/.f64 z x)))
100.0%
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
Results
32.0ms256×256valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 7.0ms (46.3% of total)
ival-add: 5.0ms (33.1% of total)
ival-div: 2.0ms (13.2% of total)
const: 1.0ms (6.6% of total)

series8.0ms (0.2%)

Counts
3 → 69
Calls
Call 1
Inputs
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 y (/.f64 z x)))>
#<alt (+.f64 y (/.f64 z x))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt z>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt z>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 z y)))>
#<alt (*.f64 y (+.f64 x (/.f64 z y)))>
#<alt (*.f64 y (+.f64 x (/.f64 z y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt (/.f64 z x)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))>
#<alt y>
#<alt (/.f64 z x)>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))>
#<alt (/.f64 z x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 z x)>
#<alt (/.f64 (+.f64 z (*.f64 x y)) x)>
#<alt (/.f64 (+.f64 z (*.f64 x y)) x)>
#<alt (/.f64 (+.f64 z (*.f64 x y)) x)>
#<alt y>
#<alt y>
Calls

24 calls:

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

rewrite123.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
708×log1p-expm1-u
708×expm1-log1p-u
551×log-prod
350×fma-define
182×expm1-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01572
120572
2312572
Stop Event
node limit
Counts
3 → 173
Calls
Call 1
Inputs
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 y (/.f64 z x)))
(+.f64 y (/.f64 z x))
Outputs
(+.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x y) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) y)) x)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) y)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) y)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x y) (*.f64 x y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)))
(/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) x) (-.f64 #s(literal 1/2 binary64) y))
(pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) y)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x y)) (exp.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x y))
(fma.f64 x y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x y))
(fma.f64 y x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x y) (*.f64 x (/.f64 z x)))
(+.f64 (*.f64 x (/.f64 z x)) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 y (/.f64 z x))))
(+.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 x (/.f64 z x)) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 z x))) x)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 z x))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 z x))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 z x))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 z x))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y (/.f64 z x))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 z x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (*.f64 x (/.f64 z x)) (*.f64 x (/.f64 z x))) (*.f64 (*.f64 x y) (*.f64 x (/.f64 z x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x (/.f64 z x)) (*.f64 x (/.f64 z x)))) (-.f64 (*.f64 x y) (*.f64 x (/.f64 z x))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))) (-.f64 y (/.f64 z x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) x) (-.f64 y (/.f64 z x)))
(pow.f64 (*.f64 x (+.f64 y (/.f64 z x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y (/.f64 z x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y (/.f64 z x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y (/.f64 z x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y (/.f64 z x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 z x))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 y (/.f64 z x))))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (/.f64 z x))) (exp.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y (/.f64 z x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y (/.f64 z x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y (/.f64 z x)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y (/.f64 z x)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y (/.f64 z x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y (/.f64 z x)))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 x (/.f64 z x)))
(fma.f64 x (/.f64 z x) (*.f64 x y))
(fma.f64 y x (*.f64 x (/.f64 z x)))
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x y))
(fma.f64 (/.f64 z x) x (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 z x)) x) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 x (/.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 x (/.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 z x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (/.f64 z x)) (*.f64 (sqrt.f64 (/.f64 z x)) x) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 x (/.f64 z x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 x (/.f64 z x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z x)) (*.f64 x y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 x (/.f64 z x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (*.f64 x (/.f64 z x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 z x))) (cbrt.f64 (*.f64 x (/.f64 z x)))) (cbrt.f64 (*.f64 x (/.f64 z x))) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x (/.f64 z x)))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 z x))) (sqrt.f64 (*.f64 x (/.f64 z x))) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 x (/.f64 z x)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 x)) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 x (/.f64 z x)))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 z x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 z x))) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x (/.f64 z x)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x (/.f64 z x)))
(fma.f64 (*.f64 (/.f64 z x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 (/.f64 z x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (/.f64 z x)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (/.f64 z x)))
(fma.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) x) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)) (*.f64 x y))
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y (/.f64 z x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (/.f64 z x))) (/.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (-.f64 y (/.f64 z x))))
(*.f64 (+.f64 y (/.f64 z x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y (/.f64 z x)))
(*.f64 (cbrt.f64 (+.f64 y (/.f64 z x))) (pow.f64 (cbrt.f64 (+.f64 y (/.f64 z x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y (/.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y (/.f64 z x))))
(*.f64 (sqrt.f64 (+.f64 y (/.f64 z x))) (sqrt.f64 (+.f64 y (/.f64 z x))))
(*.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) y) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 z x)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 y (/.f64 x z)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) (-.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (/.f64 z x))))
(/.f64 (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 z x) y))
(pow.f64 (+.f64 y (/.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y (/.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y (/.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y (/.f64 z x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y (/.f64 z x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y (/.f64 z x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y (/.f64 z x)))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (/.f64 z x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 z x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x))) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (+.f64 y (/.f64 z x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y (/.f64 z x))))
(log1p.f64 (expm1.f64 (+.f64 y (/.f64 z x))))
(exp.f64 (log.f64 (+.f64 y (/.f64 z x))))
(exp.f64 (*.f64 (log.f64 (+.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) (/.f64 z x))
(fma.f64 z (/.f64 #s(literal 1 binary64) x) y)
(fma.f64 (/.f64 z x) #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) y (/.f64 z x))
(fma.f64 #s(literal 1 binary64) (/.f64 z x) y)
(fma.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x) y)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)) y)
(fma.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 z x))
(fma.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x) y)
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)) y)
(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) x) z y)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)) y)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x) y)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)) y)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)) y)
(fma.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x) y)
(fma.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)) y)

simplify216.0ms (5.1%)

Algorithm
egg-herbie
Rules
552×distribute-lft-in
514×distribute-rgt-in
452×associate-/r*
283×associate-*r/
257×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04426834
110416353
231006318
Stop Event
node limit
Counts
242 → 229
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(*.f64 x y)
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 x y)
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(/.f64 z x)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))
y
(/.f64 z x)
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))
(/.f64 z x)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 z x)
(/.f64 (+.f64 z (*.f64 x y)) x)
(/.f64 (+.f64 z (*.f64 x y)) x)
(/.f64 (+.f64 z (*.f64 x y)) x)
y
y
(+.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x y) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) y)) x)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) y)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) y)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x y) (*.f64 x y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)))
(/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) x) (-.f64 #s(literal 1/2 binary64) y))
(pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) y)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x y)) (exp.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x y))
(fma.f64 x y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x y))
(fma.f64 y x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x y) (*.f64 x (/.f64 z x)))
(+.f64 (*.f64 x (/.f64 z x)) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 y (/.f64 z x))))
(+.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 x (/.f64 z x)) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 z x))) x)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 z x))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 z x))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 z x))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 z x))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y (/.f64 z x))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 z x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (*.f64 x (/.f64 z x)) (*.f64 x (/.f64 z x))) (*.f64 (*.f64 x y) (*.f64 x (/.f64 z x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x (/.f64 z x)) (*.f64 x (/.f64 z x)))) (-.f64 (*.f64 x y) (*.f64 x (/.f64 z x))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))) (-.f64 y (/.f64 z x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) x) (-.f64 y (/.f64 z x)))
(pow.f64 (*.f64 x (+.f64 y (/.f64 z x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y (/.f64 z x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y (/.f64 z x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y (/.f64 z x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y (/.f64 z x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 z x))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 y (/.f64 z x))))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (/.f64 z x))) (exp.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y (/.f64 z x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y (/.f64 z x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y (/.f64 z x)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y (/.f64 z x)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y (/.f64 z x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y (/.f64 z x)))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 x (/.f64 z x)))
(fma.f64 x (/.f64 z x) (*.f64 x y))
(fma.f64 y x (*.f64 x (/.f64 z x)))
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x y))
(fma.f64 (/.f64 z x) x (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 z x)) x) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 x (/.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 x (/.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 z x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (/.f64 z x)) (*.f64 (sqrt.f64 (/.f64 z x)) x) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 x (/.f64 z x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 x (/.f64 z x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z x)) (*.f64 x y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 x (/.f64 z x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (*.f64 x (/.f64 z x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 z x))) (cbrt.f64 (*.f64 x (/.f64 z x)))) (cbrt.f64 (*.f64 x (/.f64 z x))) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x (/.f64 z x)))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 z x))) (sqrt.f64 (*.f64 x (/.f64 z x))) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 x (/.f64 z x)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 x)) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 x (/.f64 z x)))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 z x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 z x))) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x (/.f64 z x)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x (/.f64 z x)))
(fma.f64 (*.f64 (/.f64 z x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 (/.f64 z x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (/.f64 z x)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (/.f64 z x)))
(fma.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) x) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)) (*.f64 x y))
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y (/.f64 z x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (/.f64 z x))) (/.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (-.f64 y (/.f64 z x))))
(*.f64 (+.f64 y (/.f64 z x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y (/.f64 z x)))
(*.f64 (cbrt.f64 (+.f64 y (/.f64 z x))) (pow.f64 (cbrt.f64 (+.f64 y (/.f64 z x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y (/.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y (/.f64 z x))))
(*.f64 (sqrt.f64 (+.f64 y (/.f64 z x))) (sqrt.f64 (+.f64 y (/.f64 z x))))
(*.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) y) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 z x)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 y (/.f64 x z)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) (-.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (/.f64 z x))))
(/.f64 (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 z x) y))
(pow.f64 (+.f64 y (/.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y (/.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y (/.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y (/.f64 z x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y (/.f64 z x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y (/.f64 z x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y (/.f64 z x)))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (/.f64 z x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 z x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x))) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (+.f64 y (/.f64 z x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y (/.f64 z x))))
(log1p.f64 (expm1.f64 (+.f64 y (/.f64 z x))))
(exp.f64 (log.f64 (+.f64 y (/.f64 z x))))
(exp.f64 (*.f64 (log.f64 (+.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) (/.f64 z x))
(fma.f64 z (/.f64 #s(literal 1 binary64) x) y)
(fma.f64 (/.f64 z x) #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) y (/.f64 z x))
(fma.f64 #s(literal 1 binary64) (/.f64 z x) y)
(fma.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x) y)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)) y)
(fma.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 z x))
(fma.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x) y)
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)) y)
(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) x) z y)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)) y)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x) y)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)) y)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)) y)
(fma.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x) y)
(fma.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)) y)
Outputs
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) x))
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) x))
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) x))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) x))
z
(+.f64 z (*.f64 x y))
(+.f64 (*.f64 x y) z)
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(+.f64 (*.f64 x y) z)
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(+.f64 (*.f64 x y) z)
(fma.f64 x y z)
(*.f64 x y)
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(+.f64 (*.f64 x y) z)
(fma.f64 x y z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(+.f64 (*.f64 x y) z)
(fma.f64 x y z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(+.f64 (*.f64 x y) z)
(fma.f64 x y z)
z
(+.f64 z (*.f64 x y))
(+.f64 (*.f64 x y) z)
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(+.f64 (*.f64 x y) z)
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(+.f64 (*.f64 x y) z)
(fma.f64 x y z)
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 x y)
(+.f64 z (*.f64 x y))
(+.f64 (*.f64 x y) z)
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(+.f64 (*.f64 x y) z)
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(+.f64 (*.f64 x y) z)
(fma.f64 x y z)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) z)
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 z (*.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
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(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x) y)
(+.f64 y (/.f64 z x))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)) y)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)) y)
(+.f64 y (/.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x) y)
(+.f64 y (/.f64 z x))
(fma.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)) y)
(+.f64 y (/.f64 (/.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x)))

eval35.0ms (0.8%)

Compiler

Compiled 2917 to 1173 computations (59.8% saved)

prune118.0ms (2.8%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New2272229
Fresh000
Picked033
Done145
Total2289237
Accuracy
100.0%
Counts
237 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
61.3%
(+.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
77.4%
(+.f64 (*.f64 x y) z)
62.5%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
63.1%
(*.f64 x (+.f64 y (/.f64 z x)))
61.2%
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
39.5%
(*.f64 x y)
24.5%
(*.f64 #s(literal 1/2 binary64) x)
40.0%
z
Compiler

Compiled 70 to 49 computations (30% saved)

localize42.0ms (1%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
Results
33.0ms256×256valid
Compiler

Compiled 25 to 14 computations (44% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 8.0ms (79.1% of total)
ival-add: 1.0ms (9.9% of total)
const: 1.0ms (9.9% of total)

series3.0ms (0.1%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))>
Outputs
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+ (* x y) (* x 1/2))
0.0ms
x
@inf
(+ (* x y) (* x 1/2))
0.0ms
x
@-inf
(+ (* x y) (* x 1/2))
0.0ms
y
@0
(+ (* x y) (* x 1/2))
0.0ms
y
@-inf
(+ (* x y) (* x 1/2))

rewrite81.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
609×unpow-prod-down
599×log1p-expm1-u
599×expm1-log1p-u
329×fma-define
318×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01119
112119
2164719
Stop Event
node limit
Counts
1 → 82
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 y #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 x (-.f64 y #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)))
(pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (sqrt.f64 (exp.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 y) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x y))
(fma.f64 y x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x y))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))

simplify93.0ms (2.2%)

Algorithm
egg-herbie
Rules
655×unswap-sqr
435×times-frac
290×fma-define
260×div-sub
235×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02273129
15203034
213302900
352392900
Stop Event
node limit
Counts
106 → 102
Calls
Call 1
Inputs
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 y #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1/2 binary64)) x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 x (-.f64 y #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)))
(pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (sqrt.f64 (exp.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 y) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x y))
(fma.f64 y x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x y))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
Outputs
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (*.f64 x y) y (*.f64 #s(literal -1/4 binary64) x)) (+.f64 y #s(literal -1/2 binary64)))
(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 y #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
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(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 x y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 y x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))

eval90.0ms (2.1%)

Compiler

Compiled 1360 to 866 computations (36.3% saved)

prune62.0ms (1.5%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New1020102
Fresh000
Picked022
Done077
Total1029111
Accuracy
100.0%
Counts
111 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
61.3%
(+.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
77.4%
(+.f64 (*.f64 x y) z)
62.5%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
63.1%
(*.f64 x (+.f64 y (/.f64 z x)))
61.2%
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
39.5%
(*.f64 x y)
24.5%
(*.f64 #s(literal 1/2 binary64) x)
40.0%
z
Compiler

Compiled 149 to 87 computations (41.6% saved)

regimes22.0ms (0.5%)

Counts
13 → 1
Calls
Call 1
Inputs
z
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x y)
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
(+.f64 (*.f64 x y) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(+.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
Outputs
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
Calls

5 calls:

5.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
4.0ms
y
4.0ms
z
4.0ms
x
4.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
100.0%1(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes23.0ms (0.5%)

Counts
12 → 1
Calls
Call 1
Inputs
z
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x y)
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
(+.f64 (*.f64 x y) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(+.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
Outputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
Calls

5 calls:

5.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
5.0ms
z
5.0ms
x
4.0ms
y
4.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
100.0%1(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes11.0ms (0.3%)

Counts
10 → 1
Calls
Call 1
Inputs
z
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x y)
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
(+.f64 (*.f64 x y) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(+.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
Outputs
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
Calls

3 calls:

4.0ms
y
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes26.0ms (0.6%)

Counts
8 → 3
Calls
Call 1
Inputs
z
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x y)
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
(+.f64 (*.f64 x y) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(+.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
Outputs
(+.f64 (*.f64 x y) z)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
(+.f64 (*.f64 x y) z)
Calls

3 calls:

9.0ms
z
8.0ms
y
8.0ms
x
Results
AccuracySegmentsBranch
90.7%3x
99.6%3y
87.9%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.3%)

Counts
5 → 3
Calls
Call 1
Inputs
z
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x y)
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
Outputs
(*.f64 x y)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
(*.f64 x y)
Calls

2 calls:

8.0ms
y
6.0ms
x
Results
AccuracySegmentsBranch
79.9%3x
88.3%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes17.0ms (0.4%)

Counts
4 → 3
Calls
Call 1
Inputs
z
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x y)
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
Outputs
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
z
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
Calls

3 calls:

7.0ms
z
5.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
76.6%3x
77.1%5z
72.6%9y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes16.0ms (0.4%)

Counts
3 → 7
Calls
Call 1
Inputs
z
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x y)
Outputs
(*.f64 x y)
z
(*.f64 #s(literal 1/2 binary64) x)
z
(*.f64 #s(literal 1/2 binary64) x)
z
(*.f64 x y)
Calls

3 calls:

7.0ms
z
5.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
70.7%7y
62.1%6z
61.6%5x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.3%)

Counts
2 → 3
Calls
Call 1
Inputs
z
(*.f64 #s(literal 1/2 binary64) x)
Outputs
(*.f64 #s(literal 1/2 binary64) x)
z
(*.f64 #s(literal 1/2 binary64) x)
Calls

3 calls:

4.0ms
y
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
50.5%3z
53.3%3x
44.7%5y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

0.0ms
x
0.0ms
z
Results
AccuracySegmentsBranch
40.0%1z
40.0%1x
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch125.0ms (3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
2.0353040023164873e-7
0.0008855176536288486
107.0ms
-10071258.15192504
-1.7535471976217924e-33
Results
23.0ms320×0valid
Compiler

Compiled 378 to 273 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (52.1% of total)
ival-add: 3.0ms (22.3% of total)
ival-div: 2.0ms (14.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
7.206738174747896e+29
4.288729521657972e+34
8.0ms
-3.7564596426201394e+24
-2.903593563809622e+23
Results
16.0ms224×0valid
Compiler

Compiled 242 to 181 computations (25.2% saved)

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

bsearch75.0ms (1.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
2.740365800333541e-55
2.610182309763473e-50
10.0ms
-3.7095250378881344e-73
-1.0573130610304105e-74
Results
14.0ms256×0valid
Compiler

Compiled 242 to 189 computations (21.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (45.3% of total)
ival-div: 2.0ms (30.2% of total)
ival-mult: 2.0ms (30.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch75.0ms (1.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
7.206738174747896e+29
4.288729521657972e+34
11.0ms
5.908146578239672e-92
2.4351998385740754e-91
11.0ms
8.715451822067894e-238
8.434168946384952e-235
14.0ms
-1.266655055128835e-136
-7.849355055031878e-140
11.0ms
-4.385128280112902e-93
-2.8290150974720086e-97
8.0ms
-3.7564596426201394e+24
-2.903593563809622e+23
Results
44.0ms703×0valid
0.0ms1valid
Compiler

Compiled 546 to 439 computations (19.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 7.0ms (34.2% of total)
ival-add: 7.0ms (34.2% of total)
ival-mult: 5.0ms (24.4% of total)
const: 1.0ms (4.9% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
1.7041826585193043e+95
1.217666968258512e+96
13.0ms
-7.525385288529646e+115
-1.9251558652845872e+108
Results
20.0ms240×0valid
Compiler

Compiled 198 to 163 computations (17.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (31.6% of total)
ival-add: 2.0ms (31.6% of total)
ival-mult: 2.0ms (31.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify11.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
073457
1102457
2107457
3109457
4110457
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(if (<=.f64 y #s(literal -1/2 binary64)) (+.f64 (*.f64 x y) z) (if (<=.f64 y #s(literal 8116567392432203/9223372036854775808 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) z) (+.f64 (*.f64 x y) z)))
(if (<=.f64 y #s(literal -390000000000000004194304 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 3800000000000000023770178672132096 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) z) (*.f64 x y)))
(if (<=.f64 x #s(literal -5410876812138479/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal 1979871083368875/210624583337114373395836055367340864637790190801098222508621955072 binary64)) z (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 y #s(literal -300000000000000008388608 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal -14091255496643/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) z (if (<=.f64 y #s(literal -1636695303948071/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504 binary64)) (*.f64 #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal 5498669552347193/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) z (if (<=.f64 y #s(literal 8807034685401875/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (*.f64 #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal 6200000000000000008442883501719552 binary64)) z (*.f64 x y)))))))
(if (<=.f64 x #s(literal -129999999999999995187565581883777329490796721857171219609415703914719527720885096393344978190906408124428138315776 binary64)) (*.f64 #s(literal 1/2 binary64) x) (if (<=.f64 x #s(literal 699999999999999999331827966632689877786181345137998213577885762143610606448144263538207885361152 binary64)) z (*.f64 #s(literal 1/2 binary64) x)))
z
Outputs
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 z (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(+.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64))))
(if (<=.f64 y #s(literal -1/2 binary64)) (+.f64 (*.f64 x y) z) (if (<=.f64 y #s(literal 8116567392432203/9223372036854775808 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) z) (+.f64 (*.f64 x y) z)))
(if (or (<=.f64 y #s(literal -1/2 binary64)) (not (<=.f64 y #s(literal 8116567392432203/9223372036854775808 binary64)))) (+.f64 z (*.f64 x y)) (+.f64 z (*.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal -390000000000000004194304 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 3800000000000000023770178672132096 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) z) (*.f64 x y)))
(if (or (<=.f64 y #s(literal -390000000000000004194304 binary64)) (not (<=.f64 y #s(literal 3800000000000000023770178672132096 binary64)))) (*.f64 x y) (+.f64 z (*.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -5410876812138479/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal 1979871083368875/210624583337114373395836055367340864637790190801098222508621955072 binary64)) z (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(if (or (<=.f64 x #s(literal -5410876812138479/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (not (<=.f64 x #s(literal 1979871083368875/210624583337114373395836055367340864637790190801098222508621955072 binary64)))) (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)
(if (<=.f64 y #s(literal -300000000000000008388608 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal -14091255496643/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) z (if (<=.f64 y #s(literal -1636695303948071/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504 binary64)) (*.f64 #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal 5498669552347193/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) z (if (<=.f64 y #s(literal 8807034685401875/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (*.f64 #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal 6200000000000000008442883501719552 binary64)) z (*.f64 x y)))))))
(if (<=.f64 y #s(literal -300000000000000008388608 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal -14091255496643/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) z (if (<=.f64 y #s(literal -1636695303948071/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504 binary64)) (*.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal 5498669552347193/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) z (if (<=.f64 y #s(literal 8807034685401875/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (*.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal 6200000000000000008442883501719552 binary64)) z (*.f64 x y)))))))
(if (<=.f64 x #s(literal -129999999999999995187565581883777329490796721857171219609415703914719527720885096393344978190906408124428138315776 binary64)) (*.f64 #s(literal 1/2 binary64) x) (if (<=.f64 x #s(literal 699999999999999999331827966632689877786181345137998213577885762143610606448144263538207885361152 binary64)) z (*.f64 #s(literal 1/2 binary64) x)))
(if (or (<=.f64 x #s(literal -129999999999999995187565581883777329490796721857171219609415703914719527720885096393344978190906408124428138315776 binary64)) (not (<=.f64 x #s(literal 699999999999999999331827966632689877786181345137998213577885762143610606448144263538207885361152 binary64)))) (*.f64 x #s(literal 1/2 binary64)) z)
z

soundness554.0ms (13.2%)

Rules
1010×fma-neg
628×times-frac
531×fma-define
506×distribute-lft-in
505×distribute-rgt-in
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
040435
199371
2275371
3801323
41690297
52822292
63298292
73484292
83535292
93543292
103543276
114081276
124081276
03649947
18629725
222919533
379709533
Stop Event
done
node limit
saturated
Compiler

Compiled 412 to 236 computations (42.7% saved)

preprocess56.0ms (1.3%)

Compiler

Compiled 282 to 170 computations (39.7% saved)

end0.0ms (0%)

Profiling

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