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

Time bar (total: 3.7s)

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
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.3s (36.3%)

Results
1.1s7214×256valid
107.0ms1041×256infinite
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 359.0ms
Operation ival-mult, time spent: 286.0ms, 80.0% of total-time
Operation ival-sub, time spent: 59.0ms, 16.0% of total-time
Operation const, time spent: 15.0ms, 4.0% of total-time
Bogosity

preprocess195.0ms (5.3%)

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

Compiler

Compiled 56 to 35 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
Operation ival-mult, time spent: 24.0ms, 82.0% of total-time
Operation ival-sub, time spent: 3.0ms, 10.0% of total-time
Operation const, time spent: 2.0ms, 7.0% of total-time

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)

localize70.0ms (1.9%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Compiler

Compiled 36 to 20 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
Operation ival-mult, time spent: 15.0ms, 60.0% of total-time
Operation composed, time spent: 4.0ms, 16.0% of total-time
Operation ival-sub, time spent: 3.0ms, 12.0% of total-time
Operation ival-add, time spent: 2.0ms, 8.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

series5.0ms (0.1%)

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

9 calls:

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

rewrite225.0ms (6.1%)

Algorithm
batch-egg-rewrite
Rules
761×prod-diff
703×log1p-expm1-u
703×expm1-log1p-u
394×log-prod
240×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01328
114328
2193724
Stop Event
node limit
Counts
1 → 176
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Outputs
(+.f64 x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(+.f64 x (*.f64 (*.f64 z (*.f64 y #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 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) z) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) x)
(+.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 y #s(literal -4 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)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64))) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64)))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64))) (sqrt.f64 z))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z))) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (sqrt.f64 y))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 z y)))) (fma.f64 #s(literal -4 binary64) (*.f64 z y) (*.f64 #s(literal 4 binary64) (*.f64 z y))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (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 x #s(literal 1 binary64) (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 (fma.f64 #s(literal 1 binary64) x (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 #s(literal 1 binary64) x (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)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)))))
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(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) x)
(fma.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)) z x)
(fma.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(fma.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (sqrt.f64 z)) (sqrt.f64 z) x)

simplify127.0ms (3.4%)

Algorithm
egg-herbie
Rules
593×times-frac
342×distribute-lft-neg-in
317×cancel-sign-sub-inv
313×distribute-rgt-neg-in
273×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04537156
111476932
230816860
Stop Event
node limit
Counts
212 → 211
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)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.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 x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(+.f64 x (*.f64 (*.f64 z (*.f64 y #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 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) z) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) x)
(+.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 y #s(literal -4 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)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64))) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64)))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64))) (sqrt.f64 z))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z))) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (sqrt.f64 y))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 z y)))) (fma.f64 #s(literal -4 binary64) (*.f64 z y) (*.f64 #s(literal 4 binary64) (*.f64 z y))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (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 x #s(literal 1 binary64) (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 (fma.f64 #s(literal 1 binary64) x (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 #s(literal 1 binary64) x (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)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64))) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64)))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64))) (sqrt.f64 z))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z))) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (sqrt.f64 y))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 z y)))) (fma.f64 #s(literal -4 binary64) (*.f64 z y) (*.f64 #s(literal 4 binary64) (*.f64 z y))))
(+.f64 (fma.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) 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 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 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 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 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)))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
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(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (exp.f64 x)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64)))
(fma.f64 y (neg.f64 (*.f64 #s(literal 4 binary64) z)) x)
(fma.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 #s(literal 1 binary64) x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -4 binary64))) x)
(fma.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)) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.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)) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.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)) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.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)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.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)) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.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)) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.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)) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.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)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64)))
(fma.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)) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.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)) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.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)) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.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)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(fma.f64 (neg.f64 z) (*.f64 y #s(literal 4 binary64)) x)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) x)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) (cbrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) (cbrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) x)
(fma.f64 (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) x)
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) x)
(fma.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)) z x)
(fma.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(fma.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (sqrt.f64 z)) (sqrt.f64 z) x)
Outputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) x)
(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 z (*.f64 #s(literal -4 binary64) y) x)
(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 z (*.f64 #s(literal -4 binary64) y) x)
(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 (+.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 (+.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 (+.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)))
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 #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 #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)))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) x)
(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 z (*.f64 #s(literal -4 binary64) y) x)
(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 z (*.f64 #s(literal -4 binary64) y) x)
(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 z (*.f64 #s(literal -4 binary64) y))
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eval81.0ms (2.2%)

Compiler

Compiled 4892 to 2872 computations (41.3% saved)

prune34.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2083211
Fresh000
Picked112
Done000
Total2094213
Accuracy
100.0%
Counts
213 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
89.0%
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
52.7%
(*.f64 z (*.f64 #s(literal -4 binary64) y))
48.9%
x
Compiler

Compiled 34 to 24 computations (29.4% saved)

localize78.0ms (2.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y))
89.0%
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
Compiler

Compiled 42 to 21 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
Operation ival-mult, time spent: 17.0ms, 73.0% of total-time
Operation ival-sub, time spent: 3.0ms, 13.0% of total-time
Operation ival-div, time spent: 2.0ms, 9.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

series10.0ms (0.3%)

Counts
2 → 63
Calls
Call 1
Inputs
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) 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 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))))>
#<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) y)>
#<alt (/.f64 x z)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 x z)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) z)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) z)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) z)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (/.f64 x z)>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
Calls

18 calls:

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

rewrite112.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
866×log1p-expm1-u
866×expm1-log1p-u
457×log-prod
270×fma-define
157×pow-to-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01465
116865
2234257
Stop Event
node limit
Counts
2 → 158
Calls
Call 1
Inputs
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))
(+.f64 (*.f64 z (/.f64 x z)) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(+.f64 (*.f64 (/.f64 x z) z) (*.f64 (*.f64 y #s(literal -4 binary64)) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) z)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))) #s(literal 1 binary64))
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) z) (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) z) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)))
(pow.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))) #s(literal 2 binary64)))
(fma.f64 z (/.f64 x z) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 (/.f64 x z) z (*.f64 (*.f64 y #s(literal -4 binary64)) z))
(+.f64 (/.f64 x z) (*.f64 y #s(literal -4 binary64)))
(+.f64 (/.f64 x z) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) y)))
(+.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)))
(+.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) y)))
(+.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 x z))
(+.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))) (cbrt.f64 (exp.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))))
(*.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) #s(literal 1 binary64))
(*.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))
(*.f64 (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))
(*.f64 (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))
(*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) y (/.f64 x z))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 x z)) (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 x z))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (*.f64 y #s(literal -4 binary64))) (*.f64 (/.f64 x z) (*.f64 y #s(literal -4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 y #s(literal -4 binary64)) (*.f64 y #s(literal -4 binary64)))) (-.f64 (/.f64 x z) (*.f64 y #s(literal -4 binary64))))
(pow.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 x z)) (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))))
(log.f64 (*.f64 (exp.f64 (/.f64 x z)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 4 binary64)) y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 4 binary64)) y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))) (exp.f64 (*.f64 y #s(literal -4 binary64)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 4 binary64)) y)) (exp.f64 (/.f64 x z))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 4 binary64)) y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z)))))
(log.f64 (*.f64 (exp.f64 (*.f64 y #s(literal -4 binary64))) (exp.f64 (/.f64 x z))))
(log.f64 (*.f64 (exp.f64 (*.f64 y #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z)))))
(log.f64 (/.f64 (exp.f64 (/.f64 x z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) y)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))) (pow.f64 (exp.f64 #s(literal 4 binary64)) y)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) y)))))
(cbrt.f64 (pow.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))
(log1p.f64 (expm1.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))
(exp.f64 (log.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))) #s(literal 2 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -4 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (neg.f64 y) (/.f64 x z))
(fma.f64 y #s(literal -4 binary64) (/.f64 x z))
(fma.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 y #s(literal -4 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) y)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -4 binary64)) (/.f64 x z))
(fma.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 2 binary64)) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (/.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (/.f64 x z))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) y (/.f64 x z))) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) y (/.f64 x z))) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) y (/.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 #s(literal -4 binary64) y (/.f64 x z))
(fma.f64 (neg.f64 y) #s(literal 4 binary64) (/.f64 x z))
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (/.f64 x z))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) y) (/.f64 x z))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal -4 binary64))) (cbrt.f64 (*.f64 y #s(literal -4 binary64)))) (cbrt.f64 (*.f64 y #s(literal -4 binary64))) (/.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 y #s(literal -4 binary64))) (sqrt.f64 (*.f64 y #s(literal -4 binary64))) (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))) (cbrt.f64 (*.f64 #s(literal 4 binary64) y)) (/.f64 x z))
(fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (/.f64 x z))
(fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 y)) (sqrt.f64 y) (/.f64 x z))

simplify238.0ms (6.5%)

Algorithm
egg-herbie
Rules
377×distribute-lft-in
359×distribute-rgt-in
345×unsub-neg
325×*-commutative
217×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03798592
18468210
222457932
366887932
Stop Event
node limit
Counts
221 → 226
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 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))))
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) y)
(/.f64 x z)
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(/.f64 x z)
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(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (/.f64 x z))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) y (/.f64 x z))) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) y (/.f64 x z))) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) y (/.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 #s(literal -4 binary64) y (/.f64 x z))
(fma.f64 (neg.f64 y) #s(literal 4 binary64) (/.f64 x z))
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (/.f64 x z))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) y) (/.f64 x z))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal -4 binary64))) (cbrt.f64 (*.f64 y #s(literal -4 binary64)))) (cbrt.f64 (*.f64 y #s(literal -4 binary64))) (/.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 y #s(literal -4 binary64))) (sqrt.f64 (*.f64 y #s(literal -4 binary64))) (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))) (cbrt.f64 (*.f64 #s(literal 4 binary64) y)) (/.f64 x z))
(fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (/.f64 x z))
(fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 y)) (sqrt.f64 y) (/.f64 x z))
Outputs
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(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 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(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 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(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)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(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 (*.f64 y (*.f64 #s(literal -4 binary64) 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 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 #s(literal -4 binary64) 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 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 #s(literal -4 binary64) 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 (*.f64 y (*.f64 #s(literal -4 binary64) 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 (*.f64 y (*.f64 #s(literal -4 binary64) 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 (*.f64 y (*.f64 #s(literal -4 binary64) 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)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(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 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)))
(*.f64 #s(literal -4 binary64) y)
(/.f64 x z)
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(/.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 y x) (/.f64 #s(literal -1 binary64) z))))
(*.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x))
(*.f64 x (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 y x) (/.f64 #s(literal -1 binary64) z))))
(*.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x))
(*.f64 x (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 y x) (/.f64 #s(literal -1 binary64) z))))
(*.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x))
(*.f64 x (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal -1 binary64) z)))
(/.f64 x z)
(/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) z)
(/.f64 (+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z))) z)
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(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal -2 binary64))) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 y) (sqrt.f64 (/.f64 x z))) (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal -2 binary64))) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 y) (sqrt.f64 (/.f64 x z))) (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal -2 binary64))) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 y) (sqrt.f64 (/.f64 x z))) (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal -2 binary64))) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 y) (sqrt.f64 (/.f64 x z))) (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal -2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 y) (sqrt.f64 (/.f64 x z))) (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal -2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 y) (sqrt.f64 (/.f64 x z))) (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal -2 binary64))) (-.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))))))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))) (cbrt.f64 (*.f64 #s(literal 4 binary64) y)) (/.f64 x z))
(+.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 y #s(literal 4 binary64))))
(-.f64 (/.f64 x z) (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))))
(fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (/.f64 x z))
(fma.f64 #s(literal -4 binary64) y (/.f64 x z))
(fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 y)) (sqrt.f64 y) (/.f64 x z))
(fma.f64 #s(literal -4 binary64) y (/.f64 x z))

eval131.0ms (3.6%)

Compiler

Compiled 3982 to 2212 computations (44.5% saved)

prune36.0ms (1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2251226
Fresh000
Picked033
Done011
Total2255230
Accuracy
100.0%
Counts
230 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
37.9%
(*.f64 z (/.f64 x z))
89.0%
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
52.7%
(*.f64 z (*.f64 #s(literal -4 binary64) y))
48.9%
x
Compiler

Compiled 42 to 29 computations (31% saved)

localize92.0ms (2.5%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
78.8%
(*.f64 z (/.f64 x z))
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-div, time spent: 3.0ms, 59.0% of total-time
Operation ival-mult, time spent: 2.0ms, 39.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series8.0ms (0.2%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (*.f64 z (/.f64 x z))>
Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
Calls

6 calls:

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

rewrite72.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
468×unpow-prod-down
464×log1p-expm1-u
464×expm1-log1p-u
446×add-exp-log
431×add-log-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0922
19322
212434
Stop Event
node limit
Counts
1 → 31
Calls
Call 1
Inputs
(*.f64 z (/.f64 x z))
Outputs
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 z (/.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z x)))
(/.f64 (*.f64 z x) z)
(/.f64 (neg.f64 (*.f64 z x)) (neg.f64 z))
(/.f64 (*.f64 z (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) z) (neg.f64 z))
(/.f64 (/.f64 (*.f64 z x) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 z x) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 x))
(pow.f64 (/.f64 z (*.f64 z x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))

simplify43.0ms (1.2%)

Algorithm
egg-herbie
Rules
484×fma-neg
478×distribute-rgt-neg-in
459×distribute-lft-neg-in
359×times-frac
305×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087341
1167341
2482341
32543341
Stop Event
node limit
Counts
55 → 33
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 z (/.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z x)))
(/.f64 (*.f64 z x) z)
(/.f64 (neg.f64 (*.f64 z x)) (neg.f64 z))
(/.f64 (*.f64 z (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) z) (neg.f64 z))
(/.f64 (/.f64 (*.f64 z x) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 z x) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 x))
(pow.f64 (/.f64 z (*.f64 z x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 #s(literal 0 binary64) x)
x
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
x
(/.f64 z (/.f64 z x))
x
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z x)))
x
(/.f64 (*.f64 z x) z)
x
(/.f64 (neg.f64 (*.f64 z x)) (neg.f64 z))
x
(/.f64 (*.f64 z (neg.f64 x)) (neg.f64 z))
x
(/.f64 (*.f64 (neg.f64 x) z) (neg.f64 z))
x
(/.f64 (/.f64 (*.f64 z x) #s(literal 1 binary64)) z)
x
(/.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
x
(/.f64 (/.f64 (*.f64 z x) (sqrt.f64 z)) (sqrt.f64 z))
x
(pow.f64 x #s(literal 1 binary64))
x
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
x
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
x
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
x
(pow.f64 (E.f64) (log.f64 x))
x
(pow.f64 (/.f64 z (*.f64 z x)) #s(literal -1 binary64))
x
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
x
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
x
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
x

eval5.0ms (0.1%)

Compiler

Compiled 192 to 101 computations (47.4% saved)

prune8.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New32133
Fresh000
Picked011
Done044
Total32638
Accuracy
100.0%
Counts
38 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.5%
(/.f64 (*.f64 z x) z)
100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
37.9%
(*.f64 z (/.f64 x z))
89.0%
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
52.7%
(*.f64 z (*.f64 #s(literal -4 binary64) y))
48.9%
x
Compiler

Compiled 50 to 34 computations (32% saved)

localize34.0ms (0.9%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
76.9%
(/.f64 (*.f64 z x) z)
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-div, time spent: 2.0ms, 43.0% of total-time
Operation ival-mult, time spent: 2.0ms, 43.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series1.0ms (0%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 z x) z)>
Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
Calls

6 calls:

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

rewrite71.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
535×unpow-prod-down
480×log1p-expm1-u
480×expm1-log1p-u
470×add-exp-log
421×pow1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0922
19322
212784
Stop Event
node limit
Counts
1 → 83
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) z)
Outputs
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 z (/.f64 x z))
(*.f64 x #s(literal 1 binary64))
(*.f64 x (log.f64 (E.f64)))
(*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 z x)) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 z x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 z) (/.f64 x (cbrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 x z)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 (sqrt.f64 (*.f64 z x)) z))
(*.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 z) (/.f64 x (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 x z)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (*.f64 z (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z x))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (/.f64 x z) z)
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal -2 binary64)) (/.f64 (*.f64 z x) (cbrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 z x) (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 z x)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z x)) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 z)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) x)
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z x)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 x z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 z (cbrt.f64 (*.f64 z x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 z (sqrt.f64 (*.f64 z x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 z x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 (*.f64 z x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 (*.f64 z x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 z x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 x))
(pow.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(neg.f64 (/.f64 (*.f64 z x) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 z (neg.f64 x)) z))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))

simplify76.0ms (2.1%)

Algorithm
egg-herbie
Rules
521×associate-*r/
474×fma-neg
409×associate-*l/
378×cube-prod
367×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02401276
14781240
214801180
362201139
Stop Event
node limit
Counts
107 → 116
Calls
Call 1
Inputs
x
x
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x
x
x
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(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 z (/.f64 x z))
(*.f64 x #s(literal 1 binary64))
(*.f64 x (log.f64 (E.f64)))
(*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 z x)) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 z x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 z) (/.f64 x (cbrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 x z)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 (sqrt.f64 (*.f64 z x)) z))
(*.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 z) (/.f64 x (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 x z)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (*.f64 z (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z x))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (/.f64 x z) z)
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal -2 binary64)) (/.f64 (*.f64 z x) (cbrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 z x) (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 z x)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z x)) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 z)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) x)
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z x)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 x z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 z (cbrt.f64 (*.f64 z x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 z (sqrt.f64 (*.f64 z x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 z x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 (*.f64 z x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 (*.f64 z x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 z x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 x))
(pow.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(neg.f64 (/.f64 (*.f64 z x) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 z (neg.f64 x)) z))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
Outputs
x
x
x
x
x
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x
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(+.f64 #s(literal 0 binary64) x)
x
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
x
(*.f64 z (/.f64 x z))
x
(*.f64 x #s(literal 1 binary64))
x
(*.f64 x (log.f64 (E.f64)))
x
(*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z))
x
(*.f64 #s(literal 1 binary64) x)
x
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 z x)) z))
x
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 z x)) (/.f64 #s(literal 1 binary64) z)))
x
(*.f64 (cbrt.f64 z) (/.f64 x (cbrt.f64 z)))
x
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 x z)))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
x
(*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 (sqrt.f64 (*.f64 z x)) z))
x
(*.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 #s(literal 1 binary64) z)))
x
(*.f64 (sqrt.f64 z) (/.f64 x (sqrt.f64 z)))
x
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 x z)))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (*.f64 z (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
x
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z x))
x
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal -1 binary64)))
x
(*.f64 (/.f64 x z) z)
x
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 x z))
x
(*.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z))
x
(*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
x
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
x
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal -2 binary64)) (/.f64 (*.f64 z x) (cbrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal -2 binary64)) (/.f64 (*.f64 x z) (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal -2 binary64)) (cbrt.f64 z)) (*.f64 x z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal -2 binary64)) (/.f64 (*.f64 x z) (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal -2 binary64)) (cbrt.f64 z)) (*.f64 x z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 z x) (sqrt.f64 z)))
x
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (*.f64 z x)) #s(literal -1 binary64)))
x
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 z x)) z))
x
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 z)))
x
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z x)) z))
x
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 z)))
x
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) x)
x
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (cbrt.f64 (*.f64 z (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 x z)))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z x)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x z) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (*.f64 z (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 x z))
x
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 z (cbrt.f64 (*.f64 z x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 z (cbrt.f64 (*.f64 x z)))))
(/.f64 (/.f64 (cbrt.f64 (*.f64 x z)) z) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 z (sqrt.f64 (*.f64 z x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 z (sqrt.f64 (*.f64 x z)))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 x z)) z) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 x z)) (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) x) #s(literal -1 binary64)))
x
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal -2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) x) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal -2 binary64))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 z) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) (*.f64 z x)) #s(literal -1 binary64)))
x
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 z x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 x z)))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (cbrt.f64 (*.f64 x z))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 z)) #s(literal 3 binary64))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 (*.f64 z x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 (*.f64 z x))) #s(literal -1 binary64)))
x
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x))
(/.f64 (/.f64 x (sqrt.f64 z)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x))
(/.f64 (/.f64 x (sqrt.f64 z)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (*.f64 z x)) #s(literal -1 binary64)))
x
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 z x))) #s(literal -1 binary64)))
x
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z x))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x z))) #s(literal -2 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 x))
x
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
x
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 x #s(literal 1 binary64))
x
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
x
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
x
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
x
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
x
(pow.f64 (E.f64) (log.f64 x))
x
(pow.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/3 binary64))
x
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
x
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(neg.f64 (/.f64 (*.f64 z x) (neg.f64 z)))
x
(neg.f64 (/.f64 (*.f64 z (neg.f64 x)) z))
x
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
x
(expm1.f64 (log1p.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))
x
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
x
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
x
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
x

eval34.0ms (0.9%)

Compiler

Compiled 1183 to 595 computations (49.7% saved)

prune21.0ms (0.6%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1160116
Fresh000
Picked011
Done055
Total1166122
Accuracy
100.0%
Counts
122 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.5%
(/.f64 (*.f64 z x) z)
100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
37.9%
(*.f64 z (/.f64 x z))
89.0%
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
52.7%
(*.f64 z (*.f64 #s(literal -4 binary64) y))
48.9%
x
Compiler

Compiled 91 to 55 computations (39.6% saved)

regimes22.0ms (0.6%)

Counts
7 → 1
Calls
Call 1
Inputs
x
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 z (/.f64 x z))
(/.f64 (*.f64 z x) z)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
Outputs
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
Calls

6 calls:

4.0ms
y
4.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
3.0ms
(*.f64 y #s(literal 4 binary64))
3.0ms
x
3.0ms
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)

regimes20.0ms (0.5%)

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

6 calls:

5.0ms
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
3.0ms
(*.f64 y #s(literal 4 binary64))
3.0ms
z
3.0ms
x
3.0ms
y
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)

regimes101.0ms (2.8%)

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

3 calls:

88.0ms
z
7.0ms
y
6.0ms
x
Results
AccuracySegmentsBranch
76.0%3x
80.1%3y
76.0%5z
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
48.9%1z
48.9%1x
48.9%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch44.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
1.129559731760443e-106
2.914239995566272e-86
18.0ms
-4.096095206081786e+105
-1.0546030513018556e+97
Results
31.0ms298×256valid
3.0ms21×256infinite
0.0ms256valid
Compiler

Compiled 296 to 232 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
Operation ival-mult, time spent: 5.0ms, 67.0% of total-time
Operation ival-sub, time spent: 2.0ms, 27.0% of total-time
Operation const, time spent: 1.0ms, 13.0% of total-time

simplify7.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
028110
144110
262110
372110
480110
583110
Stop Event
done
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 -20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)) (if (<=.f64 y #s(literal 7559138504850089/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) x (*.f64 z (*.f64 #s(literal -4 binary64) y))))
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 -20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)) (if (<=.f64 y #s(literal 7559138504850089/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) x (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(if (or (<=.f64 y #s(literal -20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) (not (<=.f64 y #s(literal 7559138504850089/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)))) (*.f64 z (*.f64 y #s(literal -4 binary64))) x)
x
Compiler

Compiled 41 to 29 computations (29.3% saved)

soundness287.0ms (7.8%)

Rules
593×times-frac
360×fma-define
342×distribute-lft-neg-in
317×cancel-sign-sub-inv
313×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04537156
111476932
230816860
034332
1103314
2247276
3629276
41120276
51518276
61555276
71560276
81560276
91560276
Stop Event
saturated
node limit
Compiler

Compiled 106 to 64 computations (39.6% saved)

end0.0ms (0%)

preprocess42.0ms (1.2%)

Remove

(sort y z)

Compiler

Compiled 156 to 102 computations (34.6% saved)

Profiling

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