Linear.Matrix:fromQuaternion from linear-1.19.1.3, B

Time bar (total: 2.7s)

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 12 to 8 computations (33.3% saved)

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

sample1.4s (53.3%)

Results
1.2s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 683.0ms
ival-mult: 427.0ms (62.5% of total)
ival-add: 242.0ms (35.4% of total)
const: 10.0ms (1.5% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess178.0ms (6.6%)

Algorithm
egg-herbie
Rules
837×fma-define
554×fma-neg
143×unsub-neg
114×distribute-lft-neg-in
104×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028212
195196
2276196
3788196
41499196
52581196
62976196
73094196
83126196
93136196
103137196
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 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.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 (-.f64 y x) (*.f64 x #s(literal -2 binary64)))
(*.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)))
(*.f64 (-.f64 y x) (*.f64 x #s(literal -2 binary64)))
(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 #s(literal 2 binary64) (*.f64 x (-.f64 y x)))
(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 #s(literal 2 binary64) (*.f64 x (-.f64 y x)))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 y y) (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 y x)))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x y)))

explain72.0ms (2.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
100-0-(+.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
Results
38.0ms512×256valid
Compiler

Compiled 67 to 25 computations (62.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 13.0ms (76.4% of total)
ival-add: 3.0ms (17.6% of total)
const: 1.0ms (5.9% of total)

eval0.0ms (0%)

Compiler

Compiled 16 to 9 computations (43.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
96.1%
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
Compiler

Compiled 20 to 13 computations (35% saved)

localize104.0ms (3.9%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
100.0%
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
96.3%
(+.f64 (*.f64 x x) (*.f64 x y))
Results
92.0ms256×256valid
Compiler

Compiled 44 to 16 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 10.0ms (75.7% of total)
ival-add: 3.0ms (22.7% of total)
const: 1.0ms (7.6% of total)

series11.0ms (0.4%)

Counts
3 → 72
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 x x) (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))>
#<alt (*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))>
Outputs
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 x y))>
#<alt (*.f64 x (+.f64 x y))>
#<alt (*.f64 x (+.f64 x y))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 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 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<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) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.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 -1 binary64) (*.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 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<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) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.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 -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
Calls

18 calls:

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

rewrite235.0ms (8.7%)

Algorithm
batch-egg-rewrite
Rules
1032×log1p-expm1-u
1032×expm1-log1p-u
573×fma-define
236×fma-neg
168×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01578
121678
2315778
Stop Event
node limit
Counts
3 → 164
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 x y))))
(*.f64 x (+.f64 x y))
(*.f64 (*.f64 x (+.f64 x y)) #s(literal 1 binary64))
(*.f64 (+.f64 x y) x)
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 x y))) (sqrt.f64 (*.f64 x (+.f64 x y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x y))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 x (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (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))
(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 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 (exp.f64 (*.f64 x (+.f64 x y))))
(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)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.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)))
(fma.f64 x x (*.f64 x y))
(fma.f64 x y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 y x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (*.f64 x y))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 x y))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x (*.f64 y #s(literal 2 binary64))))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 2 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 y x) (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 #s(literal 2 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 x (-.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 y x) (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))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x (-.f64 x y)))
(pow.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x (+.f64 x y))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)) #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))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 x (*.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 y (*.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 x y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) x (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #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 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #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 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x (*.f64 y #s(literal 2 binary64))))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 2 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 y x) (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 #s(literal 2 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 x (-.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 y x) (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))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x (-.f64 x y)))
(pow.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x (+.f64 x y))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)) #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))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 x (*.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 y (*.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 x y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) x (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #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 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #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 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))

simplify224.0ms (8.3%)

Algorithm
egg-herbie
Rules
760×fma-define
660×times-frac
369×distribute-lft-in
349×distribute-rgt-in
304×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02908199
17617997
222567889
Stop Event
node limit
Counts
236 → 157
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 x (+.f64 x y))
(*.f64 x (+.f64 x 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 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 y x)))
(pow.f64 x #s(literal 2 binary64))
(*.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 y x)))
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(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #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 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #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 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x (*.f64 y #s(literal 2 binary64))))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 2 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 y x) (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 #s(literal 2 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 x (-.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 y x) (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))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x (-.f64 x y)))
(pow.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x (+.f64 x y))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)) #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))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 x (*.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 y (*.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 x y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) x (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #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 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #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 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
Outputs
(*.f64 x y)
(*.f64 x (+.f64 x y))
(*.f64 x (+.f64 x 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 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 y x)))
(pow.f64 x #s(literal 2 binary64))
(*.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 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 x y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 x (/.f64 x y) x))
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 x (/.f64 x y) x))
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 x (/.f64 x y) x))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 x (/.f64 x y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 x (/.f64 x y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 x (/.f64 x y) x))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 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)) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) 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)) (fma.f64 y (/.f64 #s(literal 2 binary64) 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 (*.f64 y #s(literal 2 binary64)) 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)) (fma.f64 y (/.f64 #s(literal 2 binary64) 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 (*.f64 y #s(literal 2 binary64)) 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)) (fma.f64 y (/.f64 #s(literal 2 binary64) 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)) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) 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)) (fma.f64 y (/.f64 #s(literal 2 binary64) 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 (*.f64 y #s(literal 2 binary64)) 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)) (fma.f64 y (/.f64 #s(literal 2 binary64) 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 (*.f64 y #s(literal 2 binary64)) 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)) (fma.f64 y (/.f64 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) (*.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 (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) (*.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 (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(*.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 #s(literal 2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (*.f64 y #s(literal 2 binary64)) (fma.f64 x (/.f64 x y) x))
(*.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 #s(literal 2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (*.f64 y #s(literal 2 binary64)) (fma.f64 x (/.f64 x y) x))
(*.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 #s(literal 2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 (*.f64 y #s(literal 2 binary64)) (fma.f64 x (/.f64 x y) x))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
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(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 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 x y)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))

eval31.0ms (1.1%)

Compiler

Compiled 2262 to 1296 computations (42.7% saved)

prune22.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1561157
Fresh000
Picked022
Done000
Total1563159
Accuracy
100.0%
Counts
159 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
56.1%
(*.f64 x (*.f64 y #s(literal 2 binary64)))
96.1%
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize23.0ms (0.8%)

Results
16.0ms256×256valid
Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 6.0ms (90.5% of total)
const: 1.0ms (15.1% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
56.1%
(*.f64 x (*.f64 y #s(literal 2 binary64)))
96.1%
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
Compiler

Compiled 50 to 32 computations (36% saved)

regimes8.0ms (0.3%)

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

4 calls:

3.0ms
x
2.0ms
y
2.0ms
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
1.0ms
(+.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)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
x
0.0ms
y
Results
AccuracySegmentsBranch
56.1%1x
56.1%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01347
11847
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
Outputs
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal 2 binary64)))

soundness316.0ms (11.7%)

Rules
837×fma-define
760×fma-define
660×times-frac
554×fma-neg
369×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028212
195196
2276196
3788196
41499196
52581196
62976196
73094196
83126196
93136196
103137196
02908199
17617997
222567889
Stop Event
done
node limit
saturated
Compiler

Compiled 79 to 43 computations (45.6% saved)

preprocess27.0ms (1%)

Compiler

Compiled 68 to 44 computations (35.3% saved)

end0.0ms (0%)

Profiling

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