Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, A

Time bar (total: 2.0s)

analyze0.0ms (0%)

Algorithm
1×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 8 to 5 computations (37.5% saved)

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

sample1.2s (58.6%)

Results
930.0ms8255×0valid
0.0ms1×0infinite
Precisions
Click to see histograms. Total time spent on operations: 214.0ms
ival-add: 202.0ms (94.5% of total)
const: 8.0ms (3.7% of total)
backward-pass: 4.0ms (1.9% of total)
Bogosity

preprocess72.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
207×fma-neg
97×fma-define
45×distribute-rgt-in
37×associate-+l-
32×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
020162
147154
2113133
3310113
4622113
5856113
6910113
7916113
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) x)
(+.f64 (+.f64 x y) x)
(+.f64 (+.f64 (neg.f64 x) y) (neg.f64 x))
(+.f64 (+.f64 x (neg.f64 y)) x)
(neg.f64 (+.f64 (+.f64 (neg.f64 x) y) (neg.f64 x)))
(neg.f64 (+.f64 (+.f64 x (neg.f64 y)) x))
(+.f64 (+.f64 y x) y)
Outputs
(+.f64 (+.f64 x y) x)
(fma.f64 x #s(literal 2 binary64) y)
(+.f64 (+.f64 x y) x)
(fma.f64 x #s(literal 2 binary64) y)
(+.f64 (+.f64 (neg.f64 x) y) (neg.f64 x))
(fma.f64 x #s(literal -2 binary64) y)
(+.f64 (+.f64 x (neg.f64 y)) x)
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(neg.f64 (+.f64 (+.f64 (neg.f64 x) y) (neg.f64 x)))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(neg.f64 (+.f64 (+.f64 x (neg.f64 y)) x))
(fma.f64 x #s(literal -2 binary64) y)
(+.f64 (+.f64 y x) y)
(fma.f64 y #s(literal 2 binary64) x)

explain64.0ms (3.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(+.f64 (+.f64 x y) x)
00-0-(+.f64 x y)
00-0-y
Results
36.0ms512×256valid
Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 6.0ms (94% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

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

Compiled 13 to 8 computations (38.5% saved)

localize39.0ms (1.9%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (+.f64 x y) x)
Results
28.0ms256×256valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
composed: 4.0ms (37.6% of total)
ival-add: 4.0ms (37.6% of total)
ival-mult: 2.0ms (18.8% of total)
const: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (+.f64 (+.f64 x y) x)>
Outputs
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal 2 binary64) x))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (+.f64 y (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal 2 binary64) x))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+ (+ x y) x)
0.0ms
y
@0
(+ (+ x y) x)
0.0ms
x
@0
(+ (+ x y) x)
0.0ms
y
@inf
(+ (+ x y) x)
0.0ms
x
@-inf
(+ (+ x y) x)

rewrite269.0ms (13.4%)

Algorithm
1×batch-egg-rewrite
Rules
955×prod-diff
617×log1p-expm1-u
617×expm1-log1p-u
444×unpow-prod-down
340×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
110622
2163222
Stop Event
1×node limit
Counts
1 → 81
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) x)
Outputs
(+.f64 x (+.f64 x y))
(+.f64 y (+.f64 x x))
(+.f64 (+.f64 x y) x)
(+.f64 #s(literal 0 binary64) (+.f64 x (+.f64 x y)))
(+.f64 (+.f64 x x) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 x (+.f64 x y)))) (cbrt.f64 (exp.f64 (+.f64 x (+.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (+.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 x (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (-.f64 y x))))
(*.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 (cbrt.f64 (+.f64 x (+.f64 x y))) (pow.f64 (pow.f64 (+.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/3 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 (+.f64 x (+.f64 x y))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))
(*.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (+.f64 x y)) (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 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 y x))))
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 y x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x (+.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 3 binary64)))
(*.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 (pow.f64 (+.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (*.f64 (+.f64 x (+.f64 x y)) (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (+.f64 x (+.f64 x y)) (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 1/3 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 (*.f64 (pow.f64 (+.f64 x (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 y x)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (+.f64 x y)) (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 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 x (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 x (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 x (+.f64 x y)))
(pow.f64 (+.f64 x (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x (-.f64 y x)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 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)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (+.f64 x y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y)))))
(log.f64 (*.f64 (exp.f64 (+.f64 x y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (+.f64 x (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (+.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) (+.f64 x y))
(fma.f64 y #s(literal 1 binary64) (+.f64 x x))
(fma.f64 (+.f64 x y) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (+.f64 x y))
(fma.f64 #s(literal 1 binary64) y (+.f64 x x))
(fma.f64 #s(literal 1 binary64) (+.f64 x y) x)
(fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (+.f64 x y))
(fma.f64 (cbrt.f64 y) (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (+.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y) (+.f64 x x))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 x x))
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) x)
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)) x)

simplify93.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
614×fma-neg
508×distribute-lft-in
487×distribute-rgt-in
437×fma-define
278×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02252879
14912375
213432321
361172297
Stop Event
1×node limit
Counts
105 → 98
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(+.f64 y (*.f64 #s(literal 2 binary64) x))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(+.f64 x (+.f64 x y))
(+.f64 y (+.f64 x x))
(+.f64 (+.f64 x y) x)
(+.f64 #s(literal 0 binary64) (+.f64 x (+.f64 x y)))
(+.f64 (+.f64 x x) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 x (+.f64 x y)))) (cbrt.f64 (exp.f64 (+.f64 x (+.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (+.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 x (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (-.f64 y x))))
(*.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 (cbrt.f64 (+.f64 x (+.f64 x y))) (pow.f64 (pow.f64 (+.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/3 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 (+.f64 x (+.f64 x y))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))
(*.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (+.f64 x y)) (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 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 y x))))
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 y x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x (+.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 3 binary64)))
(*.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 (pow.f64 (+.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (*.f64 (+.f64 x (+.f64 x y)) (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (+.f64 x (+.f64 x y)) (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 1/3 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 (*.f64 (pow.f64 (+.f64 x (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 y x)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (+.f64 x y)) (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 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 x (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 x (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 x (+.f64 x y)))
(pow.f64 (+.f64 x (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x (-.f64 y x)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 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)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (+.f64 x y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y)))))
(log.f64 (*.f64 (exp.f64 (+.f64 x y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (+.f64 x (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (+.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) (+.f64 x y))
(fma.f64 y #s(literal 1 binary64) (+.f64 x x))
(fma.f64 (+.f64 x y) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (+.f64 x y))
(fma.f64 #s(literal 1 binary64) y (+.f64 x x))
(fma.f64 #s(literal 1 binary64) (+.f64 x y) x)
(fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (+.f64 x y))
(fma.f64 (cbrt.f64 y) (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (+.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y) (+.f64 x x))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 x x))
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) x)
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)) x)
Outputs
y
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x y)
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x y)
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 #s(literal 2 binary64) x)
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x y)
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x y)
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))
(fma.f64 #s(literal 2 binary64) x y)
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal -2 binary64))))
(+.f64 x (+.f64 x y))
(fma.f64 #s(literal 2 binary64) x y)
(+.f64 y (+.f64 x x))
(fma.f64 #s(literal 2 binary64) x y)
(+.f64 (+.f64 x y) x)
(fma.f64 #s(literal 2 binary64) x y)
(+.f64 #s(literal 0 binary64) (+.f64 x (+.f64 x y)))
(fma.f64 #s(literal 2 binary64) x y)
(+.f64 (+.f64 x x) y)
(fma.f64 #s(literal 2 binary64) x y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 x (+.f64 x y)))) (cbrt.f64 (exp.f64 (+.f64 x (+.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (+.f64 x y))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x y))) (cbrt.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x y)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x y)))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) x y)
(-.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 x (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (-.f64 y x))))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 (+.f64 x (+.f64 x y)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 (+.f64 x (+.f64 x y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x y)))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (pow.f64 (pow.f64 (+.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (+.f64 x y))))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (pow.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 y x))))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 y x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x (+.f64 x y)))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) 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)))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 (pow.f64 (pow.f64 (+.f64 x (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 x (+.f64 x y))))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 (pow.f64 (*.f64 (+.f64 x (+.f64 x y)) (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (+.f64 x (+.f64 x y)) (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(*.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)))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x y))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x y)) #s(literal 8 binary64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x y))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x y)) #s(literal 5 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 y x)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) x y)
(/.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 x (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (-.f64 y x)))
(fma.f64 #s(literal 2 binary64) x y)
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 x (-.f64 y x))))
(fma.f64 #s(literal 2 binary64) x y)
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 x (+.f64 x y)))
(fma.f64 #s(literal 2 binary64) x y)
(pow.f64 (+.f64 x (+.f64 x y)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) x y)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) x y)
(pow.f64 (pow.f64 (+.f64 x (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2 binary64) x y)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) x y)
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 x (-.f64 y x)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) x y)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(log.f64 (exp.f64 (+.f64 x (+.f64 x y))))
(fma.f64 #s(literal 2 binary64) x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (+.f64 x y)))))
(fma.f64 #s(literal 2 binary64) x y)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y)))))
(fma.f64 #s(literal 2 binary64) x y)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (+.f64 x y))))
(fma.f64 #s(literal 2 binary64) x y)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y)))))
(fma.f64 #s(literal 2 binary64) x y)
(log.f64 (*.f64 (exp.f64 (+.f64 x y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 #s(literal 2 binary64) x y)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))) (exp.f64 x)))
(fma.f64 #s(literal 2 binary64) x y)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 #s(literal 2 binary64) x y)
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x y))))
(fma.f64 #s(literal 2 binary64) x y)
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x y))))
(fma.f64 #s(literal 2 binary64) x y)
(exp.f64 (log.f64 (+.f64 x (+.f64 x y))))
(fma.f64 #s(literal 2 binary64) x y)
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (+.f64 x y)))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x y)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 x #s(literal 1 binary64) (+.f64 x y))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 y #s(literal 1 binary64) (+.f64 x x))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (+.f64 x y) #s(literal 1 binary64) x)
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 #s(literal 1 binary64) x (+.f64 x y))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 #s(literal 1 binary64) y (+.f64 x x))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 #s(literal 1 binary64) (+.f64 x y) x)
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)) x)
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (+.f64 x y))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (+.f64 x y))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (cbrt.f64 y) (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (+.f64 x x))
(fma.f64 (cbrt.f64 y) (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y) (+.f64 x x))
(fma.f64 (cbrt.f64 y) (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) x)
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x y))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 x x))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) x)
(+.f64 x (/.f64 (+.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)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)) x)
(+.f64 x (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y)))

eval21.0ms (1%)

Compiler

Compiled 1268 to 526 computations (58.5% saved)

prune18.0ms (0.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New95398
Fresh000
Picked202
Done000
Total973100
Accuracy
100.0%
Counts
100 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 (+.f64 x x) y)
▶51.6%
(*.f64 #s(literal 2 binary64) x)
▶50.3%
y
Compiler

Compiled 15 to 10 computations (33.3% saved)

localize32.0ms (1.6%)

Results
23.0ms256×256valid
Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 3.0ms (49.6% of total)
ival-mult: 2.0ms (33.1% of total)
const: 1.0ms (16.5% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked033
Done000
Total033
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (+.f64 x x) y)
✓51.6%
(*.f64 #s(literal 2 binary64) x)
✓50.3%
y
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes9.0ms (0.4%)

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

3 calls:

4.0ms
(+.f64 (+.f64 x y) x)
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (+.f64 x y) x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes8.0ms (0.4%)

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

2 calls:

4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
76.6%7x
85.9%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
y
Outputs
y
Calls

2 calls:

1.0ms
x
0.0ms
y
Results
AccuracySegmentsBranch
50.3%1x
50.3%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch24.0ms (1.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
219469052721674.4
1839761133927993.0
13.0ms
-2.2496922965426395e+38
-4.99267799227644e+33
Results
15.0ms224×0valid
Compiler

Compiled 152 to 120 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 3.0ms (103.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×if-if-or-not
1×*-commutative
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02068
12768
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 x x) y)
(if (<=.f64 y #s(literal -155000000000000008788808081817930301440 binary64)) y (if (<=.f64 y #s(literal 460000000000000 binary64)) (*.f64 #s(literal 2 binary64) x) y))
y
Outputs
(+.f64 (+.f64 x x) y)
(if (<=.f64 y #s(literal -155000000000000008788808081817930301440 binary64)) y (if (<=.f64 y #s(literal 460000000000000 binary64)) (*.f64 #s(literal 2 binary64) x) y))
(if (or (<=.f64 y #s(literal -155000000000000008788808081817930301440 binary64)) (not (<=.f64 y #s(literal 460000000000000 binary64)))) y (*.f64 x #s(literal 2 binary64)))
y

soundness134.0ms (6.7%)

Rules
955×prod-diff
617×log1p-expm1-u
617×expm1-log1p-u
444×unpow-prod-down
340×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
110622
2163222
Stop Event
1×done
1×node limit
Compiler

Compiled 38 to 20 computations (47.4% saved)

preprocess38.0ms (1.9%)

Compiler

Compiled 70 to 44 computations (37.1% saved)

end0.0ms (0%)

Profiling

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