Linear.Matrix:fromQuaternion from linear-1.19.1.3, B

Time bar (total: 2.9s)

analyze0.0ms (0%)

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

Compiled 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)

sample1.1s (38.5%)

Results
683.0ms5858×256valid
205.0ms2398×256infinite
Precisions
Click to see histograms. Total time spent on operations: 264.0ms
ival-mult: 197.0ms (74.8% of total)
ival-add: 54.0ms (20.5% of total)
const: 13.0ms (4.9% of total)
Bogosity

preprocess139.0ms (4.9%)

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)))

explain170.0ms (5.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
210-0-(+.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
124.0ms348×256valid
17.0ms164×256infinite
Compiler

Compiled 67 to 25 computations (62.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 12.0ms (71.6% of total)
ival-add: 3.0ms (17.9% of total)
const: 1.0ms (6% 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))
91.8%
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
Compiler

Compiled 20 to 13 computations (35% saved)

localize120.0ms (4.2%)

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)))
92.9%
(+.f64 (*.f64 x x) (*.f64 x y))
Results
27.0ms174×256valid
74.0ms82×256infinite
Compiler

Compiled 44 to 16 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-mult: 74.0ms (94.7% of total)
ival-add: 3.0ms (3.8% of total)
const: 1.0ms (1.3% of total)

series10.0ms (0.3%)

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))

rewrite240.0ms (8.4%)

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)))

simplify194.0ms (6.7%)

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)))
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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)))

eval44.0ms (1.5%)

Compiler

Compiled 2262 to 1296 computations (42.7% saved)

prune25.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1543157
Fresh000
Picked022
Done000
Total1545159
Accuracy
100.0%
Counts
159 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
58.2%
(*.f64 x (*.f64 y #s(literal 2 binary64)))
94.5%
(*.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 x y)))
91.8%
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
58.2%
(*.f64 #s(literal 2 binary64) (*.f64 x y))
Compiler

Compiled 44 to 29 computations (34.1% saved)

localize164.0ms (5.7%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 x y)))
94.5%
(fma.f64 x x (*.f64 x y))
100.0%
(*.f64 #s(literal 2 binary64) (*.f64 x y))
Results
133.0ms213×256valid
7.0ms43×256infinite
Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-mult: 111.0ms (94.1% of total)
composed: 4.0ms (3.4% of total)
ival-add: 2.0ms (1.7% of total)
const: 1.0ms (0.8% of total)

series6.0ms (0.2%)

Counts
3 → 48
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x y))>
#<alt (fma.f64 x x (*.f64 x y))>
#<alt (*.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 x y)))>
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)))))>
Calls

18 calls:

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

rewrite90.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
592×unpow-prod-down
544×log1p-expm1-u
544×expm1-log1p-u
473×pow1
345×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01379
112969
2149569
Stop Event
node limit
Counts
3 → 86
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(fma.f64 x x (*.f64 x y))
(*.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 x y)))
Outputs
(+.f64 (*.f64 x y) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 y #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x y)))) #s(literal 1 binary64))
(*.f64 x (+.f64 x y))
(*.f64 (*.f64 x (+.f64 x y)) #s(literal 1 binary64))
(*.f64 (*.f64 x (+.f64 x y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.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 (hypot.f64 x (sqrt.f64 (*.f64 x y))) (hypot.f64 x (sqrt.f64 (*.f64 x y))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x (+.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 x y)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x y)) (cbrt.f64 (*.f64 x (+.f64 x y)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x y)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #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 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 (hypot.f64 x (sqrt.f64 (*.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 x) (+.f64 x y)))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(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 (log.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.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)))
(+.f64 (*.f64 x (+.f64 x y)) (*.f64 x (+.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y))))
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #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 (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 #s(literal 2 binary64) (*.f64 x (+.f64 x y))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (+.f64 x y)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y #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))))

simplify161.0ms (5.6%)

Algorithm
egg-herbie
Rules
642×fma-define
340×times-frac
339×distribute-lft-in
315×distribute-rgt-in
314×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02513600
15383564
214883545
347833539
Stop Event
node limit
Counts
134 → 120
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)))
(*.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 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.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 #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 #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 #s(literal 2 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) 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)) (+.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) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.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)))))
(*.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)))))
(+.f64 (*.f64 x y) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 y #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x y)))) #s(literal 1 binary64))
(*.f64 x (+.f64 x y))
(*.f64 (*.f64 x (+.f64 x y)) #s(literal 1 binary64))
(*.f64 (*.f64 x (+.f64 x y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.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 (hypot.f64 x (sqrt.f64 (*.f64 x y))) (hypot.f64 x (sqrt.f64 (*.f64 x y))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x (+.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 x y)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x y)) (cbrt.f64 (*.f64 x (+.f64 x y)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x y)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 x (sqrt.f64 (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #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 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 (hypot.f64 x (sqrt.f64 (*.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 x) (+.f64 x y)))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(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 (log.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.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)))
(+.f64 (*.f64 x (+.f64 x y)) (*.f64 x (+.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y))))
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #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 (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 #s(literal 2 binary64) (*.f64 x (+.f64 x y))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (+.f64 x y)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y #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))))
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 x (+.f64 x y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 x y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.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 x (+.f64 x y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 x y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 x y))
(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 x (+.f64 x y))
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 x (+.f64 x y))
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 x (+.f64 x y))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 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 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 x (+.f64 x y))
(*.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 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) (*.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 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) (*.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 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 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) (*.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 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) (*.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 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 (*.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 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
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eval48.0ms (1.7%)

Compiler

Compiled 1476 to 800 computations (45.8% saved)

prune100.0ms (3.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1200120
Fresh000
Picked033
Done022
Total1205125
Accuracy
100.0%
Counts
125 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
58.2%
(*.f64 x (*.f64 y #s(literal 2 binary64)))
94.5%
(*.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 x y)))
91.8%
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
58.2%
(*.f64 #s(literal 2 binary64) (*.f64 x y))
Compiler

Compiled 80 to 48 computations (40% saved)

regimes11.0ms (0.4%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.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)))
(*.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 x y)))
Outputs
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
Calls

4 calls:

5.0ms
(+.f64 (*.f64 x x) (*.f64 x y))
2.0ms
x
2.0ms
y
2.0ms
(*.f64 #s(literal 2 binary64) (+.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)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
58.2%1x
58.2%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (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 #s(literal 2 binary64) (*.f64 x y))
Outputs
(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))
(*.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))

soundness192.0ms (6.7%)

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
done
saturated
Compiler

Compiled 62 to 33 computations (46.8% saved)

preprocess38.0ms (1.3%)

Compiler

Compiled 68 to 44 computations (35.3% saved)

end0.0ms (0%)

Profiling

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