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

Time bar (total: 4.6s)

analyze0.0ms (0%)

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

Compiled 13 to 9 computations (30.8% saved)

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

sample1.1s (23.8%)

Results
881.0ms7213×256valid
109.0ms1042×256infinite
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 331.0ms
Operation ival-add, time spent: 123.0ms, 37.0% of total-time
Operation ival-mult, time spent: 123.0ms, 37.0% of total-time
Operation ival-div, time spent: 70.0ms, 21.0% of total-time
Operation const, time spent: 14.0ms, 4.0% of total-time
Bogosity

preprocess319.0ms (6.9%)

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

Compiled 72 to 38 computations (47.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
Operation ival-div, time spent: 13.0ms, 48.0% of total-time
Operation ival-add, time spent: 8.0ms, 30.0% of total-time
Operation ival-mult, time spent: 4.0ms, 15.0% of total-time
Operation const, time spent: 2.0ms, 7.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 33 to 19 computations (42.4% saved)

prune6.0ms (0.1%)

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)

localize138.0ms (3%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
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 y) z)
100.0%
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
100.0%
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
Operation ival-mult, time spent: 9.0ms, 29.0% of total-time
Operation ival-add, time spent: 8.0ms, 25.0% of total-time
Operation ival-sub, time spent: 5.0ms, 16.0% of total-time
Operation composed, time spent: 5.0ms, 16.0% of total-time
Operation ival-div, time spent: 4.0ms, 13.0% of total-time
Operation const, time spent: 2.0ms, 6.0% of total-time

series18.0ms (0.4%)

Counts
5 → 168
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)>
#<alt (*.f64 x (-.f64 y #s(literal -1/2 binary64)))>
#<alt (+.f64 (*.f64 x y) z)>
#<alt (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))>
#<alt (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)>
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 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 (*.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 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 #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 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x))) #s(literal 1/2 binary64))))>
#<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 (*.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 z (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)))>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x z)) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x z)) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x z)) (/.f64 (*.f64 x y) z))))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y)) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.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

42 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(* x (- y -1/2))
1.0ms
y
@inf
(+ (* x y) z)
1.0ms
x
@inf
(+ (* x (- y -1/2)) z)
1.0ms
y
@inf
(+ (* x (- y -1/2)) z)
1.0ms
x
@-inf
(+ (* x (- y -1/2)) z)

rewrite358.0ms (7.7%)

Algorithm
batch-egg-rewrite
Rules
950×log1p-expm1-u
950×expm1-log1p-u
450×fma-neg
128×add-cube-cbrt
126×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022109
1318109
24309109
Stop Event
node limit
Counts
5 → 257
Calls
Call 1
Inputs
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(+.f64 (*.f64 x y) 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
(-.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 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 (fma.f64 x y z)))) (/.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 (fma.f64 x y 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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 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))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.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 (fma.f64 x y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 (fma.f64 x y 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 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 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 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64))))) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 (fma.f64 x y z))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 (fma.f64 x y z) (/.f64 #s(literal 2 binary64) x)))))
(/.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 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 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))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (-.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 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 (fma.f64 x y 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 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y)))) x)) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y)))) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y)))) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y)))) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -2 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y)))) (neg.f64 x))) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y)))) #s(literal -2 binary64)))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 x y (neg.f64 z)) x)) (*.f64 (fma.f64 x y (neg.f64 z)) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x)) (*.f64 (fma.f64 x y (neg.f64 z)) #s(literal 1 binary64))) (*.f64 (fma.f64 x y (neg.f64 z)) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal -2 binary64)) (*.f64 (fma.f64 x y (neg.f64 z)) (neg.f64 x))) (*.f64 (fma.f64 x y (neg.f64 z)) #s(literal -2 binary64)))
(/.f64 (+.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y))))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y))))))
(/.f64 (+.f64 (*.f64 x (fma.f64 x y (neg.f64 z))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 x y (neg.f64 z))))
(/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y)))) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y))))))
(/.f64 (+.f64 (fma.f64 x y (neg.f64 z)) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 x y (neg.f64 z))))
(/.f64 (+.f64 (*.f64 (neg.f64 x) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y))))) (*.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y))))))
(/.f64 (+.f64 (*.f64 (neg.f64 x) (fma.f64 x y (neg.f64 z))) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) (fma.f64 x y (neg.f64 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 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 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 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 (fma.f64 x y z)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64))))
(/.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)))
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(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 (fma.f64 x y z)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64))))
(/.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 x #s(literal 1/2 binary64) (fma.f64 x y z))
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
(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 #s(literal 1 binary64) (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x y z))
(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))) (fma.f64 x y z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y z)) (*.f64 x #s(literal 1/2 binary64)))
(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 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x (+.f64 y #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))) (fma.f64 x y z))
(fma.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)) (*.f64 x #s(literal 1/2 binary64)))
(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 z) (sqrt.f64 z) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(+.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)
(+.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(+.f64 (*.f64 x y) (+.f64 z (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x y z))
(+.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) z) (*.f64 x y))
(-.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 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 (fma.f64 x y z)))) (/.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 (fma.f64 x y 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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 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))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.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 (fma.f64 x y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 (fma.f64 x y 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 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 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 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64))))) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 (fma.f64 x y z))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 (fma.f64 x y z) (/.f64 #s(literal 2 binary64) x)))))
(/.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 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 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))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (-.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 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 (fma.f64 x y 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 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y)))) x)) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y)))) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y)))) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y)))) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -2 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y)))) (neg.f64 x))) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y)))) #s(literal -2 binary64)))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 x y (neg.f64 z)) x)) (*.f64 (fma.f64 x y (neg.f64 z)) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x)) (*.f64 (fma.f64 x y (neg.f64 z)) #s(literal 1 binary64))) (*.f64 (fma.f64 x y (neg.f64 z)) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal -2 binary64)) (*.f64 (fma.f64 x y (neg.f64 z)) (neg.f64 x))) (*.f64 (fma.f64 x y (neg.f64 z)) #s(literal -2 binary64)))
(/.f64 (+.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y))))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y))))))
(/.f64 (+.f64 (*.f64 x (fma.f64 x y (neg.f64 z))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 x y (neg.f64 z))))
(/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y)))) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y))))))
(/.f64 (+.f64 (fma.f64 x y (neg.f64 z)) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 x y (neg.f64 z))))
(/.f64 (+.f64 (*.f64 (neg.f64 x) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y))))) (*.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y))))))
(/.f64 (+.f64 (*.f64 (neg.f64 x) (fma.f64 x y (neg.f64 z))) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) (fma.f64 x y (neg.f64 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 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 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 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 (fma.f64 x y z)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64))))
(/.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)))

simplify294.0ms (6.3%)

Algorithm
egg-herbie
Rules
720×times-frac
418×cancel-sign-sub-inv
372×fma-neg
319×distribute-lft-neg-in
284×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043220813
1112120274
2342019697
Stop Event
node limit
Counts
425 → 229
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))
(*.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))))
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(/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y)))) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y))))))
(/.f64 (+.f64 (fma.f64 x y (neg.f64 z)) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 x y (neg.f64 z))))
(/.f64 (+.f64 (*.f64 (neg.f64 x) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y))))) (*.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x y))))))
(/.f64 (+.f64 (*.f64 (neg.f64 x) (fma.f64 x y (neg.f64 z))) (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) (fma.f64 x y (neg.f64 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 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 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 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 (fma.f64 x y z)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64))))
(/.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
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 (/.f64 z 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 (/.f64 z 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 (/.f64 z 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) (+.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 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (+.f64 (/.f64 z 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 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (+.f64 (/.f64 z 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 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 z (*.f64 #s(literal 1/2 binary64) x))
(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 (/.f64 z y) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) x)))
(*.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 (/.f64 z y) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) x)))
(*.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 (/.f64 z 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 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) z) y))))
(*.f64 y (neg.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) z) (neg.f64 y)) x)))
(*.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 (fma.f64 x #s(literal 1/2 binary64) z) y))))
(*.f64 y (neg.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) z) (neg.f64 y)) x)))
(*.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 (fma.f64 x #s(literal 1/2 binary64) z) y))))
(*.f64 y (neg.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) z) (neg.f64 y)) x)))
(*.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))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) y) z)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) z)) (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 x (/.f64 (+.f64 #s(literal 1/2 binary64) y) z)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) z)) (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 x (/.f64 (+.f64 #s(literal 1/2 binary64) y) z)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) z)) (neg.f64 z))
(*.f64 (fma.f64 x (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) #s(literal -1 binary64)) (neg.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) 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 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 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x 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 (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))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64)))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))))
(*.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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(/.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)) (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))))
(/.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 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (fma.f64 x y z) (+.f64 (fma.f64 x y z) (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) (fma.f64 (fma.f64 x y z) (+.f64 z (*.f64 x (+.f64 y #s(literal -1/2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 (fma.f64 x y z)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 (fma.f64 x y z))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x y z)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))) (+.f64 z (*.f64 x (+.f64 y #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 (fma.f64 x y z))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x y z)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))) (+.f64 z (*.f64 x (+.f64 y #s(literal -1/2 binary64)))))
(/.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)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(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)

eval130.0ms (2.8%)

Compiler

Compiled 4049 to 2162 computations (46.6% saved)

prune39.0ms (0.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2245229
Fresh000
Picked033
Done000
Total2248232
Accuracy
100.0%
Counts
232 → 8
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)
60.9%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
87.4%
(*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))
62.1%
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
40.5%
(*.f64 x y)
38.8%
z
Compiler

Compiled 107 to 75 computations (29.9% saved)

localize128.0ms (2.8%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
87.4%
(*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))
Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
Operation ival-mult, time spent: 51.0ms, 76.0% of total-time
Operation ival-add, time spent: 11.0ms, 16.0% of total-time
Operation ival-div, time spent: 3.0ms, 4.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time

series7.0ms (0.2%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
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) 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 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 #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

15 calls:

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

rewrite122.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
756×log1p-expm1-u
756×expm1-log1p-u
557×log-prod
508×fma-define
264×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01556
120956
2329556
Stop Event
node limit
Counts
2 → 121
Calls
Call 1
Inputs
(*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
Outputs
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 z x) x))
(+.f64 (/.f64 (*.f64 z x) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))))
(+.f64 (*.f64 x (+.f64 (/.f64 z x) #s(literal 1/2 binary64))) (*.f64 x y))
(+.f64 (*.f64 (+.f64 (/.f64 z x) #s(literal 1/2 binary64)) x) (*.f64 x y))
(+.f64 (*.f64 (/.f64 (*.f64 z x) x) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 (fma.f64 x (/.f64 z x) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 z x) x) (/.f64 (*.f64 z x) x) (-.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 z x) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 z x) x) (/.f64 (*.f64 z x) x)) (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 z x) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(/.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 #s(literal 1/2 binary64) y) (-.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.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 (+.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 #s(literal 1/2 binary64) y) (-.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) x) (-.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))
(pow.f64 (*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1/2 binary64) y)) (exp.f64 (/.f64 (*.f64 z x) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))) (exp.f64 (/.f64 (*.f64 z x) x))))
(log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 z x) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 z 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 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 z x) (+.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 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 z x) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z x) x))
(fma.f64 x (+.f64 (/.f64 z x) #s(literal 1/2 binary64)) (*.f64 x y))
(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 (+.f64 #s(literal 1/2 binary64) y) x (/.f64 (*.f64 z x) x))
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64) (/.f64 (*.f64 z x) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 z x) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) 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 z x) x))
(fma.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)) (/.f64 (*.f64 z x) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) (/.f64 (*.f64 z x) 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 z x) 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 z x) x))
(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 z x) 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 z x) x))
(fma.f64 (/.f64 (*.f64 z x) x) #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (+.f64 (/.f64 z x) #s(literal 1/2 binary64)) x (*.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z x) x)) (cbrt.f64 (/.f64 (*.f64 z x) x))) (cbrt.f64 (/.f64 (*.f64 z x) x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 z x) x)) (sqrt.f64 (/.f64 (*.f64 z x) 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 (/.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 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 z x) 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 z x) 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 z x) x))
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 (*.f64 z x) 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)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(+.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 x) (+.f64 #s(literal 1/2 binary64) y))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1/2 binary64) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1/2 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1/2 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1/2 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.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)))
(/.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 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 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))
(/.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 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 x y) (*.f64 x y)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x 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 x) (+.f64 #s(literal 1/2 binary64) y)))
(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 #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(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) #s(literal 1/2 binary64)) (*.f64 x y))
(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 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.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 x) (*.f64 (sqrt.f64 x) y) (*.f64 x #s(literal 1/2 binary64)))
(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 #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 (*.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 (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 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64)))
(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 #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)))
(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)))

simplify140.0ms (3%)

Algorithm
egg-herbie
Rules
865×times-frac
334×div-sub
228×exp-prod
206×cube-prod
201×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03425441
18224804
225794765
369604765
Stop Event
node limit
Counts
169 → 173
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))
(*.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 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 x (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(+.f64 (*.f64 x y) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
(+.f64 (*.f64 x y) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
(+.f64 (*.f64 x y) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 z x))))
(*.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 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 z x))) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 z x))) 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 #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 #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 #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 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 z x) x))
(+.f64 (/.f64 (*.f64 z x) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))))
(+.f64 (*.f64 x (+.f64 (/.f64 z x) #s(literal 1/2 binary64))) (*.f64 x y))
(+.f64 (*.f64 (+.f64 (/.f64 z x) #s(literal 1/2 binary64)) x) (*.f64 x y))
(+.f64 (*.f64 (/.f64 (*.f64 z x) x) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 (fma.f64 x (/.f64 z x) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 z x) x) (/.f64 (*.f64 z x) x) (-.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 z x) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 z x) x) (/.f64 (*.f64 z x) x)) (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 z x) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(/.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 #s(literal 1/2 binary64) y) (-.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.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 (+.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 #s(literal 1/2 binary64) y) (-.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) x) (-.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))
(pow.f64 (*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1/2 binary64) y)) (exp.f64 (/.f64 (*.f64 z x) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))) (exp.f64 (/.f64 (*.f64 z x) x))))
(log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 z x) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 z 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 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 z x) (+.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 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 z x) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 z x) x))
(fma.f64 x (+.f64 (/.f64 z x) #s(literal 1/2 binary64)) (*.f64 x y))
(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 (+.f64 #s(literal 1/2 binary64) y) x (/.f64 (*.f64 z x) x))
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64) (/.f64 (*.f64 z x) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 z x) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) 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 z x) x))
(fma.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)) (/.f64 (*.f64 z x) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) (/.f64 (*.f64 z x) 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 z x) 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 z x) x))
(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 z x) 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 z x) x))
(fma.f64 (/.f64 (*.f64 z x) x) #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (+.f64 (/.f64 z x) #s(literal 1/2 binary64)) x (*.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z x) x)) (cbrt.f64 (/.f64 (*.f64 z x) x))) (cbrt.f64 (/.f64 (*.f64 z x) x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 z x) x)) (sqrt.f64 (/.f64 (*.f64 z x) 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 (/.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 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 z x) 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 z x) 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 z x) x))
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 (*.f64 z x) 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)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(+.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 x) (+.f64 #s(literal 1/2 binary64) y))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1/2 binary64) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1/2 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1/2 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1/2 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.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)))
(/.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 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 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))
(/.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 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 x y) (*.f64 x y)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x 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 x) (+.f64 #s(literal 1/2 binary64) y)))
(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 #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(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) #s(literal 1/2 binary64)) (*.f64 x y))
(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 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.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 x) (*.f64 (sqrt.f64 x) y) (*.f64 x #s(literal 1/2 binary64)))
(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 #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 (*.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 (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 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64)))
(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 #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)))
(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)))
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) 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 (fma.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)) z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
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(fma.f64 y x (*.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 #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 (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 (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 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 (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 (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 x) (*.f64 (sqrt.f64 x) y) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(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))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(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)))
(*.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 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.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))
(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 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))

eval59.0ms (1.3%)

Compiler

Compiled 2470 to 1300 computations (47.4% saved)

prune28.0ms (0.6%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New1712173
Fresh000
Picked055
Done123
Total1729181
Accuracy
100.0%
Counts
181 → 9
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 (-.f64 y #s(literal -1/2 binary64))) z)
62.1%
(+.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
60.9%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
87.4%
(*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))
62.1%
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
40.5%
(*.f64 x y)
23.9%
(*.f64 x #s(literal 1/2 binary64))
38.8%
z
Compiler

Compiled 73 to 52 computations (28.8% saved)

localize43.0ms (0.9%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
Compiler

Compiled 25 to 14 computations (44% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
Operation ival-mult, time spent: 8.0ms, 74.0% of total-time
Operation ival-add, time spent: 2.0ms, 19.0% of total-time
Operation const, time spent: 1.0ms, 9.0% of total-time

series2.0ms (0%)

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

rewrite82.0ms (1.8%)

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))

simplify89.0ms (1.9%)

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)))))
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(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (sqrt.f64 (exp.f64 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(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))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 y) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(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)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(exp.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(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)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(*.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))

eval77.0ms (1.7%)

Compiler

Compiled 1360 to 866 computations (36.3% saved)

prune33.0ms (0.7%)

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%
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
100.0%
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
62.1%
(+.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
60.9%
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
87.4%
(*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))
62.1%
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
40.5%
(*.f64 x y)
23.9%
(*.f64 x #s(literal 1/2 binary64))
38.8%
z
Compiler

Compiled 140 to 88 computations (37.1% saved)

regimes129.0ms (2.8%)

Counts
11 → 1
Calls
Call 1
Inputs
z
(*.f64 x #s(literal 1/2 binary64))
(*.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) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))
(+.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:

72.0ms
z
28.0ms
x
16.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
6.0ms
y
6.0ms
(+.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)

regimes129.0ms (2.8%)

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

5 calls:

57.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
52.0ms
z
7.0ms
y
6.0ms
x
5.0ms
(+.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)

regimes42.0ms (0.9%)

Counts
6 → 3
Calls
Call 1
Inputs
z
(*.f64 x #s(literal 1/2 binary64))
(*.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) (*.f64 x #s(literal 1/2 binary64)))
Outputs
(*.f64 x y)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
Calls

3 calls:

15.0ms
y
14.0ms
z
12.0ms
x
Results
AccuracySegmentsBranch
82.0%3x
87.1%3y
80.4%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes29.0ms (0.6%)

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

11.0ms
z
9.0ms
x
8.0ms
y
Results
AccuracySegmentsBranch
76.3%3z
77.3%3x
69.9%5y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes27.0ms (0.6%)

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

3 calls:

12.0ms
y
7.0ms
z
7.0ms
x
Results
AccuracySegmentsBranch
71.6%7y
60.7%5z
61.8%5x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.4%)

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

3 calls:

7.0ms
y
6.0ms
z
5.0ms
x
Results
AccuracySegmentsBranch
52.6%5z
49.6%3x
45.3%5y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

2.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
38.8%1y
38.8%1z
38.8%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch32.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
4066652.4291950734
40255116.07105252
19.0ms
-5.873339568053683e+20
-772913295057194.5
Results
26.0ms230×256valid
1.0ms256infinite
0.0ms256valid
Compiler

Compiled 270 to 205 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
Operation ival-add, time spent: 3.0ms, 43.0% of total-time
Operation ival-div, time spent: 2.0ms, 29.0% of total-time
Operation ival-mult, time spent: 2.0ms, 29.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch42.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.3038095040964558e-30
1.2636188195460353e-23
21.0ms
-103671390883.03937
-4.97486525245059e-8
Results
35.0ms302×256valid
0.0ms256valid
0.0ms256infinite
Compiler

Compiled 284 to 222 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
Operation ival-add, time spent: 4.0ms, 41.0% of total-time
Operation ival-div, time spent: 3.0ms, 31.0% of total-time
Operation ival-mult, time spent: 2.0ms, 20.0% of total-time
Operation const, time spent: 1.0ms, 10.0% of total-time

bsearch105.0ms (2.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
4066652.4291950734
40255116.07105252
19.0ms
2.1902735706316162e-111
5.618341904576085e-104
19.0ms
4.3352663757754126e-181
4.482114362204109e-176
15.0ms
-7.49395272408661e-224
-6.929255549461054e-226
19.0ms
-1.274825471998992e-95
-3.48070488746361e-103
19.0ms
-5.873339568053683e+20
-772913295057194.5
Results
89.0ms774×256valid
1.0ms256infinite
0.0ms256valid
Compiler

Compiled 606 to 488 computations (19.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
Operation ival-add, time spent: 10.0ms, 41.0% of total-time
Operation ival-div, time spent: 6.0ms, 25.0% of total-time
Operation ival-mult, time spent: 6.0ms, 25.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

bsearch37.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
4.4671047293982673e+58
6.483900501060813e+62
19.0ms
-6.054494373967025e+130
-8.31097082516483e+127
Results
27.0ms216×256valid
4.0ms39×256infinite
0.0ms256valid
Compiler

Compiled 210 to 173 computations (17.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
Operation ival-add, time spent: 3.0ms, 40.0% of total-time
Operation ival-div, time spent: 2.0ms, 27.0% of total-time
Operation ival-mult, time spent: 2.0ms, 27.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify11.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
061360
179360
284360
386360
487360
Stop Event
done
saturated
Calls
Call 1
Inputs
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(if (<=.f64 y #s(literal -44000000000000000000 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 29000000 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) z) (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 x #s(literal -235 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal 7992587079153375/2854495385411919762116571938898990272765493248 binary64)) z (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 y #s(literal -1550000000000000 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal -1305191455255567/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) z (if (<=.f64 y #s(literal -5334411546303883/1667003608219963568519962947680314449286189580578977040099064452941009309454408017880358050217888572685732477648358310111472200413529841270090839013082707511523789394878503639615769571477953506182241254033971650495422687009369115322790969344 binary64)) (*.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal 8613887886070705/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) z (if (<=.f64 y #s(literal 7581518694861603/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 binary64)) (*.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal 26000000 binary64)) z (*.f64 x y)))))))
(if (<=.f64 x #s(literal -1019999999999999961242411626349121982797107352249962808183018640463182958742497676006693920686478983009098105531478285427543113728 binary64)) (*.f64 x #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 1360000000000000023937604029908057927859145229195421564272640 binary64)) z (*.f64 x #s(literal 1/2 binary64))))
z
Outputs
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
(+.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 -44000000000000000000 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 29000000 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) z) (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 y #s(literal -44000000000000000000 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 29000000 binary64)) (+.f64 z (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal -235 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal 7992587079153375/2854495385411919762116571938898990272765493248 binary64)) z (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(if (or (<=.f64 x #s(literal -235 binary64)) (not (<=.f64 x #s(literal 7992587079153375/2854495385411919762116571938898990272765493248 binary64)))) (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)
(if (<=.f64 y #s(literal -1550000000000000 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal -1305191455255567/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) z (if (<=.f64 y #s(literal -5334411546303883/1667003608219963568519962947680314449286189580578977040099064452941009309454408017880358050217888572685732477648358310111472200413529841270090839013082707511523789394878503639615769571477953506182241254033971650495422687009369115322790969344 binary64)) (*.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal 8613887886070705/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) z (if (<=.f64 y #s(literal 7581518694861603/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 binary64)) (*.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal 26000000 binary64)) z (*.f64 x y)))))))
(if (<=.f64 x #s(literal -1019999999999999961242411626349121982797107352249962808183018640463182958742497676006693920686478983009098105531478285427543113728 binary64)) (*.f64 x #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 1360000000000000023937604029908057927859145229195421564272640 binary64)) z (*.f64 x #s(literal 1/2 binary64))))
(if (or (<=.f64 x #s(literal -1019999999999999961242411626349121982797107352249962808183018640463182958742497676006693920686478983009098105531478285427543113728 binary64)) (not (<=.f64 x #s(literal 1360000000000000023937604029908057927859145229195421564272640 binary64)))) (*.f64 x #s(literal 1/2 binary64)) z)
z
Compiler

Compiled 123 to 83 computations (32.5% saved)

soundness741.0ms (16%)

Rules
1010×fma-neg
865×times-frac
720×times-frac
531×fma-define
418×cancel-sign-sub-inv
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
03425441
18224804
225794765
369604765
043220813
1112120274
2342019697
040435
199371
2275371
3801323
41690297
52822292
63298292
73484292
83535292
93543292
103543276
114081276
124081276
Stop Event
saturated
node limit
node limit
Compiler

Compiled 271 to 154 computations (43.2% saved)

end0.0ms (0%)

preprocess72.0ms (1.5%)

Compiler

Compiled 234 to 144 computations (38.5% saved)

Profiling

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