Linear.Matrix:fromQuaternion from linear-1.19.1.3, A

Time bar (total: 2.2s)

analyze0.0ms (0%)

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

Compiled 12 to 8 computations (33.3% 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

sample930.0ms (41.9%)

Results
625.0ms6034×256valid
237.0ms2221×256infinite
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 263.0ms
Operation ival-mult, time spent: 194.0ms, 74.0% of total-time
Operation ival-sub, time spent: 54.0ms, 21.0% of total-time
Operation const, time spent: 15.0ms, 6.0% of total-time
Bogosity

preprocess208.0ms (9.4%)

Algorithm
egg-herbie
Rules
597×fmm-def
216×fma-define
163×associate-*r*
155×unsub-neg
148×distribute-lft-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
60-0-(-.f64 (*.f64 x x) (*.f64 x y))
00-0-x
00-0-(*.f64 x y)
00-0-(*.f64 x x)
00-0-(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
00-0-#s(literal 2 binary64)
00-0-y
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028212
191196
2210196
3722196
41664196
52111196
62483196
72603196
82603196
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x (neg.f64 y))))
(neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y))))
(neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x (neg.f64 y)))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 y y) (*.f64 y x)))
Outputs
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y))))
(*.f64 #s(literal -2 binary64) (*.f64 x (-.f64 x (neg.f64 y))))
(*.f64 (*.f64 x (+.f64 x y)) #s(literal -2 binary64))
(*.f64 x (*.f64 #s(literal -2 binary64) (+.f64 x y)))
(neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x (neg.f64 y)))))
(*.f64 #s(literal -2 binary64) (*.f64 x (-.f64 x (neg.f64 y))))
(*.f64 (*.f64 x (+.f64 x y)) #s(literal -2 binary64))
(*.f64 x (*.f64 #s(literal -2 binary64) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 y y) (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (*.f64 y (-.f64 y x)))
(*.f64 y (*.f64 (-.f64 y x) #s(literal 2 binary64)))
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 y x)))
(*.f64 y (*.f64 #s(literal -2 binary64) (-.f64 x y)))
Compiler

Compiled 67 to 25 computations (62.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
Operation ival-mult, time spent: 12.0ms, 75.0% of total-time
Operation ival-sub, time spent: 3.0ms, 19.0% of total-time
Operation const, time spent: 1.0ms, 6.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

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

Compiled 9 to 6 computations (33.3% saved)

localize35.0ms (1.6%)

Localize:

Found 2 expressions with local error:

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

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
Operation ival-mult, time spent: 7.0ms, 77.0% of total-time
Operation ival-sub, time spent: 2.0ms, 22.0% of total-time
Operation const, time spent: 1.0ms, 11.0% of total-time

series8.0ms (0.4%)

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

12 calls:

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

rewrite198.0ms (8.9%)

Algorithm
batch-egg-rewrite
Rules
610×log1p-expm1-u
610×expm1-log1p-u
590×unpow-prod-down
359×prod-diff
325×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01150
112050
2162250
Stop Event
node limit
Counts
2 → 69
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 x (-.f64 x y))
Outputs
(+.f64 (*.f64 x (-.f64 x y)) (*.f64 x (-.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 y)))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y))
(pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 y)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) x))
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 x y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 x y))
(pow.f64 (*.f64 x (-.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 x y)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 x y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (-.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (-.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (-.f64 x y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (-.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x x (*.f64 x (neg.f64 y)))
(fma.f64 x x (*.f64 (neg.f64 y) x))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (*.f64 (neg.f64 y) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 y) x))

simplify86.0ms (3.9%)

Algorithm
egg-herbie
Rules
575×fma-define
355×distribute-lft-in
335×distribute-rgt-in
293×times-frac
285×fmm-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02063446
14573326
212233326
342413320
Stop Event
node limit
Counts
117 → 108
Calls
Call 1
Inputs
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(+.f64 (*.f64 x (-.f64 x y)) (*.f64 x (-.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 y)))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y))
(pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 y)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) x))
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 x y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 x y))
(pow.f64 (*.f64 x (-.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 x y)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 x y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (-.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (-.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (-.f64 x y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (-.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x x (*.f64 x (neg.f64 y)))
(fma.f64 x x (*.f64 (neg.f64 y) x))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (*.f64 (neg.f64 y) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 y) x))
Outputs
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 x y))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 x y))
(*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 x y))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (-.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (-.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (-.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 x (-.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 x (-.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 x (-.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 x (-.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 x (-.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 x (-.f64 x y))
(+.f64 (*.f64 x (-.f64 x y)) (*.f64 x (-.f64 x y)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 y)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 x y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 x y))))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (pow.f64 (exp.f64 (-.f64 x y)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (+.f64 x y))))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) (+.f64 x y)))
(pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(pow.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 x y)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(exp.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/3 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 y)))
(*.f64 x (fma.f64 #s(literal -2 binary64) y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 x y)))
(*.f64 x (-.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 x y)))) #s(literal 1 binary64))
(*.f64 x (-.f64 x y))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) (+.f64 x y))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 x y))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (+.f64 x y)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) (+.f64 x y))
(pow.f64 (*.f64 x (-.f64 x y)) #s(literal 1 binary64))
(*.f64 x (-.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) #s(literal 3 binary64))
(*.f64 x (-.f64 x y))
(pow.f64 (pow.f64 (*.f64 x (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 x (-.f64 x y))
(pow.f64 (pow.f64 (*.f64 x (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (-.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 x y))) #s(literal 2 binary64))
(*.f64 x (-.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (-.f64 x y))
(log.f64 (pow.f64 (exp.f64 (-.f64 x y)) x))
(*.f64 x (-.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 x y)))))
(*.f64 x (-.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 x y)) #s(literal 3 binary64)))
(*.f64 x (-.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 x y))))
(*.f64 x (-.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 x y))))
(*.f64 x (-.f64 x y))
(exp.f64 (log.f64 (*.f64 x (-.f64 x y))))
(*.f64 x (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 x y))) #s(literal 1 binary64)))
(*.f64 x (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (-.f64 x y)))) #s(literal 3 binary64)))
(*.f64 x (-.f64 x y))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (-.f64 x y)))) #s(literal 1/3 binary64)))
(*.f64 x (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (-.f64 x y)))) #s(literal 2 binary64)))
(*.f64 x (-.f64 x y))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (-.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (-.f64 x y))
(fma.f64 x x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 x y))
(fma.f64 x x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 x y))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 x y))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 x y))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 x y))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 x y))

eval27.0ms (1.2%)

Compiler

Compiled 1329 to 737 computations (44.5% saved)

prune25.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1044108
Fresh000
Picked101
Done000
Total1054109
Accuracy
100.0%
Counts
109 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
56.1%
(*.f64 x (*.f64 #s(literal -2 binary64) y))
57.1%
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
56.4%
(*.f64 #s(literal -2 binary64) (*.f64 x y))
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize85.0ms (3.8%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
99.6%
(*.f64 x (*.f64 #s(literal -2 binary64) y))
100.0%
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
100.0%
(*.f64 #s(literal -2 binary64) (*.f64 x y))
Compiler

Compiled 51 to 27 computations (47.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
Operation ival-mult, time spent: 19.0ms, 68.0% of total-time
Operation ival-pow, time spent: 5.0ms, 18.0% of total-time
Operation ival-sub, time spent: 2.0ms, 7.0% of total-time
Operation const, time spent: 2.0ms, 7.0% of total-time

series6.0ms (0.3%)

Counts
4 → 48
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 x (*.f64 #s(literal -2 binary64) y))>
#<alt (*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))>
Outputs
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))>
Calls

21 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* -2 (* x y))
1.0ms
y
@inf
(* -2 (* x y))
1.0ms
x
@inf
(* -2 (* x y))
0.0ms
y
@0
(* -2 (* x y))
0.0ms
x
@0
(* 2 (pow x 2))

rewrite117.0ms (5.3%)

Algorithm
batch-egg-rewrite
Rules
650×log-prod
626×log1p-expm1-u
626×expm1-log1p-u
464×prod-diff
302×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01882
124682
2318382
Stop Event
node limit
Counts
4 → 99
Calls
Call 1
Inputs
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal -2 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal -2 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 x y))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 x #s(literal 2 binary64))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) (+.f64 x y))
(pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 x #s(literal 2 binary64)) x (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) x (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))

simplify123.0ms (5.5%)

Algorithm
egg-herbie
Rules
697×fma-define
269×*-commutative
257×sub-neg
251×distribute-lft-in
251×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02124181
14384045
213024031
338764021
464934021
Stop Event
node limit
Counts
147 → 112
Calls
Call 1
Inputs
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) x))))
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal -2 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal -2 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 x y))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 x y))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 x #s(literal 2 binary64))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) (+.f64 x y))
(pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 x y)))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 x #s(literal 2 binary64)) x (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) x (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
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eval33.0ms (1.5%)

Compiler

Compiled 1342 to 907 computations (32.4% saved)

prune16.0ms (0.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1120112
Fresh000
Picked044
Done000
Total1124116
Accuracy
100.0%
Counts
116 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
56.1%
(*.f64 x (*.f64 #s(literal -2 binary64) y))
57.1%
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
56.4%
(*.f64 #s(literal -2 binary64) (*.f64 x y))
Compiler

Compiled 70 to 45 computations (35.7% saved)

regimes10.0ms (0.5%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
Outputs
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
Calls

4 calls:

3.0ms
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
2.0ms
x
2.0ms
y
2.0ms
(-.f64 (*.f64 x x) (*.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
100.0%1(-.f64 (*.f64 x x) (*.f64 x y))
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes7.0ms (0.3%)

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

2 calls:

5.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.3%)

Accuracy

Total -0.2b remaining (-0.9%)

Threshold costs -0.2b (-0.9%)

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

2 calls:

6.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
56.4%1x
56.4%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify4.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01675
12575
23075
33275
43375
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
Outputs
(*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))
(*.f64 #s(literal -2 binary64) (*.f64 x y))
Compiler

Compiled 25 to 17 computations (32% saved)

soundness253.0ms (11.4%)

Rules
597×fmm-def
575×fma-define
355×distribute-lft-in
335×distribute-rgt-in
293×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028212
191196
2210196
3722196
41664196
52111196
62483196
72603196
82603196
02063446
14573326
212233326
342413320
Stop Event
node limit
saturated
Compiler

Compiled 108 to 68 computations (37% saved)

end0.0ms (0%)

preprocess37.0ms (1.6%)

Compiler

Compiled 82 to 50 computations (39% saved)

Profiling

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