Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A

Time bar (total: 3.9s)

analyze0.0ms (0%)

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

Compiled 11 to 8 computations (27.3% saved)

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

sample1.1s (29%)

Results
759.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 344.0ms
ival-mult: 288.0ms (83.7% of total)
ival-sub: 43.0ms (12.5% of total)
const: 10.0ms (2.9% of total)
backward-pass: 3.0ms (0.9% of total)
Bogosity

preprocess95.0ms (2.4%)

Algorithm
egg-herbie
Rules
360×fma-define
206×fma-neg
92×cancel-sign-sub-inv
89×associate-*r*
85×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034332
1103314
2247276
3629276
41120276
51518276
61555276
71560276
81560276
91560276
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 x (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(neg.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 x (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(-.f64 y (*.f64 (*.f64 x #s(literal 4 binary64)) z))
(-.f64 z (*.f64 (*.f64 y #s(literal 4 binary64)) x))
(-.f64 x (*.f64 (*.f64 z #s(literal 4 binary64)) y))
Outputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(+.f64 x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(+.f64 x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (neg.f64 x) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal -1 binary64) x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(-.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) x)
(-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x)
(-.f64 x (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 x (*.f64 z (*.f64 #s(literal 4 binary64) (neg.f64 y))))
(+.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(-.f64 x (*.f64 z (*.f64 #s(literal 4 binary64) (neg.f64 y))))
(+.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(neg.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)))
(-.f64 x (*.f64 z (*.f64 #s(literal 4 binary64) (neg.f64 y))))
(+.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(neg.f64 (-.f64 x (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(-.f64 (neg.f64 x) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal -1 binary64) x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(-.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) x)
(-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x)
(neg.f64 (-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(-.f64 (neg.f64 x) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal -1 binary64) x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(-.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) x)
(-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x)
(-.f64 y (*.f64 (*.f64 x #s(literal 4 binary64)) z))
(-.f64 y (*.f64 x (*.f64 #s(literal 4 binary64) z)))
(+.f64 y (*.f64 z (*.f64 x #s(literal -4 binary64))))
(fma.f64 x (*.f64 z #s(literal -4 binary64)) y)
(-.f64 z (*.f64 (*.f64 y #s(literal 4 binary64)) x))
(-.f64 z (*.f64 x (*.f64 y #s(literal 4 binary64))))
(+.f64 z (*.f64 x (*.f64 y #s(literal -4 binary64))))
(fma.f64 x (*.f64 y #s(literal -4 binary64)) z)
(-.f64 x (*.f64 (*.f64 z #s(literal 4 binary64)) y))
(-.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(+.f64 x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
Symmetry

(sort y z)

explain78.0ms (2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 (*.f64 y #s(literal 4 binary64)) z)
00-0-#s(literal 4 binary64)
00-0-z
00-0-(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
00-0-(*.f64 y #s(literal 4 binary64))
00-0-y
Results
48.0ms512×0valid
Compiler

Compiled 56 to 35 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 18.0ms (77.2% of total)
ival-sub: 3.0ms (12.9% of total)
const: 1.0ms (4.3% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 23 to 14 computations (39.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Compiler

Compiled 19 to 13 computations (31.6% saved)

localize95.0ms (2.4%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z #s(literal -4 binary64))
cost-diff0
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
cost-diff0
(*.f64 y #s(literal 4 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
accuracy100.0%
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
accuracy100.0%
(*.f64 z #s(literal -4 binary64))
accuracy100.0%
(*.f64 y #s(literal 4 binary64))
accuracy100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Rules
282×fma-define
110×fma-neg
45×cancel-sign-sub-inv
43×distribute-lft-neg-in
27×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017121
130113
261113
3119113
4170113
5231113
6325113
7402113
8525113
9737113
10823113
11835113
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
x
Outputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
x
Results
48.0ms256×0valid
Compiler

Compiled 36 to 20 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 11.0ms (63.7% of total)
ival-fma: 3.0ms (17.4% of total)
ival-sub: 2.0ms (11.6% of total)
const: 1.0ms (5.8% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.4%)

Counts
5 → 120
Calls
Call 1
Inputs
#<alt (-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))>
#<alt (*.f64 y #s(literal 4 binary64))>
#<alt (*.f64 z #s(literal -4 binary64))>
#<alt (*.f64 (*.f64 y #s(literal 4 binary64)) z)>
#<alt (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)>
Outputs
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt (-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt (-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
Calls

30 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+ (* y (* z -4)) x)
1.0ms
z
@0
(* z -4)
1.0ms
x
@0
(- x (* (* y 4) z))
1.0ms
y
@-inf
(- x (* (* y 4) z))
0.0ms
y
@inf
(- x (* (* y 4) z))

rewrite460.0ms (11.7%)

Algorithm
batch-egg-rewrite
Rules
940×prod-diff
818×log1p-expm1-u
818×expm1-log1p-u
262×fma-define
146×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01795
118687
2251487
Stop Event
node limit
Counts
5 → 313
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 y #s(literal 4 binary64))
(*.f64 z #s(literal -4 binary64))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
Outputs
(+.f64 x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(+.f64 x (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 4 binary64) z))))
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(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 (sqrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (*.f64 z (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 (sqrt.f64 y) #s(literal 2 binary64))))))
(-.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(*.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y #s(literal -4 binary64)) x))
(*.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64)))) (*.f64 x (*.f64 y (*.f64 z #s(literal -4 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64))))) (-.f64 x (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x))))
(cbrt.f64 (pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 1 binary64)))

simplify335.0ms (8.5%)

Algorithm
egg-herbie
Rules
454×distribute-lft-neg-in
419×fma-neg
403×distribute-rgt-neg-in
280×associate-*r*
258×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051512090
1129911838
2360011826
Stop Event
node limit
Counts
433 → 247
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
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(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
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(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
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(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
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(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
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(*.f64 #s(literal 4 binary64) (*.f64 y z))
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(*.f64 #s(literal 4 binary64) (*.f64 y z))
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(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
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(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
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(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
x
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(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(+.f64 x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(+.f64 x (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 y (*.f64 #s(literal 4 binary64) z))))
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(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 #s(literal -1 binary64) (*.f64 y (*.f64 #s(literal 4 binary64) z)) (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) z) (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x)
(+.f64 (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)) x)
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)))) (fma.f64 (neg.f64 (*.f64 y z)) #s(literal 4 binary64) (*.f64 (*.f64 y z) #s(literal 4 binary64))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) z) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) z) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64)))) (*.f64 x (*.f64 y (*.f64 z #s(literal -4 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64))))) (-.f64 x (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x))))
(cbrt.f64 (pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal 4 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
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(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal -4 binary64) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) (fma.f64 (*.f64 y #s(literal 4 binary64)) z x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 y #s(literal 4 binary64)) z x))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal -4 binary64) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) (fma.f64 (*.f64 y #s(literal 4 binary64)) z x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64)))) (*.f64 x (*.f64 y (*.f64 z #s(literal -4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal -4 binary64) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) (fma.f64 (*.f64 y #s(literal 4 binary64)) z x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 y #s(literal 4 binary64)) z x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64))))) (-.f64 x (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 y #s(literal 4 binary64)) z x))
(pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 3 binary64))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(pow.f64 (pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(pow.f64 (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 2 binary64))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(sqrt.f64 (pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 2 binary64)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(log.f64 (exp.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x))))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(cbrt.f64 (pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 3 binary64)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(log1p.f64 (expm1.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(exp.f64 (log.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)

eval96.0ms (2.4%)

Compiler

Compiled 5110 to 3123 computations (38.9% saved)

prune356.0ms (9.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2443247
Fresh000
Picked112
Done000
Total2454249
Accuracy
100.0%
Counts
249 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
88.8%
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
51.9%
(*.f64 y (*.f64 #s(literal -4 binary64) z))
51.0%
x
Compiler

Compiled 34 to 24 computations (29.4% saved)

localize317.0ms (8.1%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 4 binary64) z)
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 #s(literal -4 binary64) z)
cost-diff0
(*.f64 y (*.f64 #s(literal -4 binary64) z))
accuracy100.0%
(*.f64 y (*.f64 #s(literal -4 binary64) z))
accuracy100.0%
(*.f64 #s(literal 4 binary64) z)
accuracy100.0%
(*.f64 #s(literal -4 binary64) z)
accuracy88.8%
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
Rules
1591×fma-define
692×associate-/l/
686×fma-neg
306×associate-/r*
251×distribute-rgt-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
017143
128143
248135
388135
4155132
5225126
6375126
7597126
81531126
92978126
103727126
114137126
124332126
134394126
144710126
155790126
166757126
177467126
187725126
197841126
Stop Event
node limit
Calls
Call 1
Inputs
x
(*.f64 y (*.f64 #s(literal -4 binary64) z))
y
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
y
(-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z))
(/.f64 x y)
x
(*.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
z
Outputs
x
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
y
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (+.f64 (/.f64 x y) (*.f64 #s(literal -4 binary64) z)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
y
(-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z))
(+.f64 (/.f64 x y) (*.f64 #s(literal -4 binary64) z))
(+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y))
(fma.f64 #s(literal -4 binary64) z (/.f64 x y))
(/.f64 x y)
x
(*.f64 #s(literal 4 binary64) z)
(*.f64 z #s(literal 4 binary64))
#s(literal 4 binary64)
z
Results
39.0ms256×0valid
Compiler

Compiled 42 to 21 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 11.0ms (64.1% of total)
ival-sub: 3.0ms (17.5% of total)
ival-div: 2.0ms (11.7% of total)
const: 1.0ms (5.8% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.3%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 y (*.f64 #s(literal -4 binary64) z))>
#<alt (/.f64 x y)>
Outputs
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
Calls

27 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(* y (- (/ x y) (* 4 z)))
1.0ms
y
@-inf
(* y (- (/ x y) (* 4 z)))
1.0ms
y
@0
(* y (- (/ x y) (* 4 z)))
0.0ms
x
@0
(* y (- (/ x y) (* 4 z)))
0.0ms
x
@-inf
(* y (- (/ x y) (* 4 z)))

rewrite128.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
953×log1p-expm1-u
953×expm1-log1p-u
548×log-prod
228×fma-define
164×expm1-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01789
120989
2298485
Stop Event
node limit
Counts
5 → 124
Calls
Call 1
Inputs
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(/.f64 x y)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y))))
(+.f64 (*.f64 y (/.f64 x y)) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(+.f64 (*.f64 (/.f64 x y) y) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal 4 binary64) z (/.f64 x y)))) (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal 4 binary64) z (/.f64 x y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal 4 binary64) z (/.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal 4 binary64) z (/.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal 4 binary64) z (/.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal 4 binary64) z (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 y (pow.f64 (fma.f64 #s(literal 4 binary64) z (/.f64 x y)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) z (/.f64 x y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) y) (fma.f64 (*.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal 4 binary64) z (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) z (/.f64 x y)) #s(literal 2 binary64)) y) (fma.f64 #s(literal 4 binary64) z (/.f64 x y)))
(pow.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal 4 binary64) z (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) z (/.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) z (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y)))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y)))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 x y) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 (/.f64 x y) y (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) z))
(pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal 4 binary64) z))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) z))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 4 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) z)))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) z)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) z)))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) z))
(pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal 4 binary64) z))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) z))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 4 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) z)))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) z)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) z)))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (cbrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))

simplify275.0ms (7%)

Algorithm
egg-herbie
Rules
793×fma-define
783×fma-neg
283×exp-prod
275×cube-prod
266×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02764299
15474215
215373915
359843915
Stop Event
node limit
Counts
184 → 148
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(+.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y))))
(+.f64 (*.f64 y (/.f64 x y)) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(+.f64 (*.f64 (/.f64 x y) y) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal 4 binary64) z (/.f64 x y)))) (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal 4 binary64) z (/.f64 x y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal 4 binary64) z (/.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal 4 binary64) z (/.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal 4 binary64) z (/.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal 4 binary64) z (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 y (pow.f64 (fma.f64 #s(literal 4 binary64) z (/.f64 x y)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) z (/.f64 x y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) y) (fma.f64 (*.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal 4 binary64) z (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) z (/.f64 x y)) #s(literal 2 binary64)) y) (fma.f64 #s(literal 4 binary64) z (/.f64 x y)))
(pow.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal 4 binary64) z (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) z (/.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) z (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y)))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) z (/.f64 x y)))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 x y) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 (/.f64 x y) y (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) z))
(pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal 4 binary64) z))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) z))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 4 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) z)))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) z)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) z)))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) z))
(pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal 4 binary64) z))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) z))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 4 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) z)))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) z)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) z)))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (cbrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
Outputs
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y (/.f64 (*.f64 #s(literal -4 binary64) z) x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y (/.f64 (*.f64 #s(literal -4 binary64) z) x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y (/.f64 (*.f64 #s(literal -4 binary64) z) x) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y (/.f64 (*.f64 #s(literal -4 binary64) z) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y (/.f64 (*.f64 #s(literal -4 binary64) z) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y (/.f64 (*.f64 #s(literal -4 binary64) z) x) #s(literal 1 binary64)))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 z #s(literal 4 binary64))) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 1 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 3 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)) y))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64)))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(/.f64 x y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (cbrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(/.f64 x y)
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(/.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(/.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(/.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(/.f64 x y)
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(/.f64 x y)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 x y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 x y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(/.f64 x y)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 x y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(/.f64 x y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(/.f64 x y)
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(/.f64 x y)
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(/.f64 x y)
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(/.f64 x y)
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x y)
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(/.f64 x y)
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 x y)
(neg.f64 (/.f64 x (neg.f64 y)))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(/.f64 x y)
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 x y)
(log.f64 (exp.f64 (/.f64 x y)))
(/.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(/.f64 x y)
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(/.f64 x y)
(expm1.f64 (log1p.f64 (/.f64 x y)))
(/.f64 x y)
(log1p.f64 (expm1.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (log.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 x y)

eval83.0ms (2.1%)

Compiler

Compiled 1850 to 1075 computations (41.9% saved)

prune22.0ms (0.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1480148
Fresh000
Picked033
Done011
Total1484152
Accuracy
100.0%
Counts
152 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
88.8%
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
51.9%
(*.f64 y (*.f64 #s(literal -4 binary64) z))
51.0%
x
Compiler

Compiled 65 to 42 computations (35.4% saved)

regimes15.0ms (0.4%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
Outputs
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
Calls

6 calls:

5.0ms
(*.f64 y #s(literal 4 binary64))
3.0ms
x
2.0ms
y
2.0ms
z
2.0ms
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
100.0%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
100.0%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 36 to 27 computations (25% saved)

regimes11.0ms (0.3%)

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

6 calls:

2.0ms
y
2.0ms
x
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
z
2.0ms
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
100.0%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
100.0%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 36 to 27 computations (25% saved)

regimes11.0ms (0.3%)

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

3 calls:

4.0ms
x
3.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
76.4%7x
76.0%3y
74.3%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

3 calls:

0.0ms
y
0.0ms
x
0.0ms
z
Results
AccuracySegmentsBranch
51.0%1x
51.0%1z
51.0%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch16.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
4.719118355119567e-125
4.373067148724388e-114
1.0ms
-5.981495502609723e+26
-5.68933678890609e+26
Results
10.0ms176×0valid
Compiler

Compiled 170 to 133 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (65.7% of total)
ival-sub: 1.0ms (21.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
028110
143110
261110
371110
479110
582110
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(if (<=.f64 y #s(literal -590000000000000029829890048 binary64)) (*.f64 y (*.f64 #s(literal -4 binary64) z)) (if (<=.f64 y #s(literal 745154980294969/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) x (*.f64 y (*.f64 #s(literal -4 binary64) z))))
x
Outputs
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 x (*.f64 z (*.f64 y #s(literal 4 binary64))))
(if (<=.f64 y #s(literal -590000000000000029829890048 binary64)) (*.f64 y (*.f64 #s(literal -4 binary64) z)) (if (<=.f64 y #s(literal 745154980294969/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) x (*.f64 y (*.f64 #s(literal -4 binary64) z))))
(if (or (<=.f64 y #s(literal -590000000000000029829890048 binary64)) (not (<=.f64 y #s(literal 745154980294969/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)))) (*.f64 y (*.f64 z #s(literal -4 binary64))) x)
x

soundness325.0ms (8.3%)

Rules
454×distribute-lft-neg-in
419×fma-neg
403×distribute-rgt-neg-in
360×fma-define
280×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051512090
1129911838
2360011826
034332
1103314
2247276
3629276
41120276
51518276
61555276
71560276
81560276
91560276
Stop Event
done
saturated
node limit
Compiler

Compiled 133 to 81 computations (39.1% saved)

preprocess37.0ms (0.9%)

Remove

(sort y z)

Compiler

Compiled 156 to 102 computations (34.6% saved)

end0.0ms (0%)

Profiling

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