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

Time bar (total: 2.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
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 7 to 6 computations (14.3% saved)

sample609.0ms (25.1%)

Memory
-142.7MiB live, 780.2MiB allocated
Samples
269.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 122.0ms
ival-add: 114.0ms (93.3% of total)
ival-true: 5.0ms (4.1% of total)
ival-assert: 3.0ms (2.5% of total)
Bogosity

explain58.0ms (2.4%)

Memory
33.6MiB live, 111.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(+.f64 x y)
00-0-(+.f64 (+.f64 x y) x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
17.0ms512×0valid
Compiler

Compiled 49 to 24 computations (51% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 5.0ms (89.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess21.0ms (0.9%)

Memory
-23.2MiB live, 21.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01227
13825
29825
325425
443125
550625
651825
045
065
195
2125
3145
4155
0154
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) x)
Outputs
(+.f64 (+.f64 x y) x)
(fma.f64 #s(literal 2 binary64) x y)
Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (+.f64 x y) x)
Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.1%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x y)
cost-diff0
(+.f64 (+.f64 x y) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
0610
1910
21210
31410
41510
0159
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) x)
(+.f64 x y)
x
y
Outputs
(+.f64 (+.f64 x y) x)
(fma.f64 #s(literal 2 binary64) x y)
(+.f64 x y)
(+.f64 y x)
x
y

localize11.0ms (0.5%)

Memory
18.5MiB live, 18.5MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x y)
accuracy0.01953125
(+.f64 (+.f64 x y) x)
Samples
8.0ms256×0valid
Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 2.0ms (77.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
3.6MiB live, 3.6MiB allocated
Counts
2 → 13
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) x)
(+.f64 x y)
Outputs
y
(+ y (* 2 x))
(+ x y)
(* 2 x)
(* x (+ 2 (/ y x)))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Calls

6 calls:

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

simplify138.0ms (5.7%)

Memory
-36.7MiB live, 121.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03545
110245
223145
369345
4181445
5276045
6382045
7428845
8458045
9466345
10653545
0831840
Stop Event
iter limit
node limit
Counts
13 → 11
Calls
Call 1
Inputs
y
(+ y (* 2 x))
(+ x y)
(* 2 x)
(* x (+ 2 (/ y x)))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
y
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
(+ x y)
(+.f64 y x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (/ y x)))
(fma.f64 #s(literal 2 binary64) x y)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 #s(literal 2 binary64) x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 #s(literal 2 binary64) x y)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 #s(literal 2 binary64) x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

rewrite182.0ms (7.5%)

Memory
46.1MiB live, 234.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1328
22798
346218
081147
Stop Event
iter limit
node limit
iter limit
Counts
2 → 205
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) x)
(+.f64 x y)
Outputs
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (+.f64 y x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 2 binary64) x y)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 #s(literal 2 binary64) x y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) y)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (neg.f64 x) y) (-.f64 (*.f64 (neg.f64 x) y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 2 binary64) x y)) (*.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 2 binary64) x y))) (fma.f64 #s(literal 2 binary64) x y))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (neg.f64 y)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 2 binary64) x y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 2 binary64) x y)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x y))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))) (pow.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 2 binary64) x y)) (pow.f64 (+.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) x y) (pow.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #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))) (pow.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) (/.f64 (+.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 0 binary64) y)))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) (*.f64 (+.f64 #s(literal 0 binary64) y) (pow.f64 (+.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))))
(pow.f64 (/.f64 (neg.f64 y) (*.f64 (fma.f64 #s(literal 2 binary64) x y) (neg.f64 y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (+.f64 y x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 0 binary64) y))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) y)) (*.f64 x (/.f64 x (+.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) x) y))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (-.f64 y (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 0 binary64) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 0 binary64) y))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) y)) (*.f64 x (/.f64 x (+.f64 #s(literal 0 binary64) y)))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (*.f64 #s(literal 2 binary64) x) y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 y (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (neg.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 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 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (+.f64 y x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64))) (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) y)) (*.f64 (+.f64 #s(literal 0 binary64) y) (*.f64 x x))) (pow.f64 (+.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 x x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (neg.f64 y)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (fma.f64 #s(literal 2 binary64) x y) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (+.f64 y x) #s(literal 9 binary64))) (*.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64)))))
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(pow.f64 (+.f64 y x) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (exp.f64 (log.f64 (-.f64 y x))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))))) (exp.f64 (log.f64 (neg.f64 (-.f64 x y)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (exp.f64 (log.f64 (*.f64 (-.f64 x y) (+.f64 y x)))) (exp.f64 (log.f64 (-.f64 x y))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 y y (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal -3 binary64))) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal -3 binary64)))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x)))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x y)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (+.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(neg.f64 (neg.f64 (+.f64 y x)))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y x))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (+.f64 y x)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 y x)
(+.f64 x y)

eval24.0ms (1%)

Memory
-17.3MiB live, 58.2MiB allocated
Compiler

Compiled 4 363 to 617 computations (85.9% saved)

prune3.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2062208
Fresh000
Picked101
Done000
Total2072209
Accuracy
100.0%
Counts
209 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 #s(literal 2 binary64) x y)
50.3%
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify3.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 2 binary64) x y)
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0821
01021
11521
21820
31820
01820
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(fma.f64 #s(literal 2 binary64) x y)
#s(literal 2 binary64)
x
y
Outputs
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(fma.f64 #s(literal 2 binary64) x y)
#s(literal 2 binary64)
x
y

localize36.0ms (1.5%)

Memory
-44.6MiB live, 49.4MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 #s(literal 2 binary64) x y)
accuracy0
(*.f64 #s(literal 2 binary64) x)
accuracy31.806999744764962
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
Samples
25.0ms256×0valid
Compiler

Compiled 41 to 17 computations (58.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (56.6% of total)
ival-mult: 1.0ms (18.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
3 → 7
Calls
Call 1
Inputs
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) x y)
Outputs
y
(+ y (* 2 x))
(* 2 x)
(* x (+ 2 (/ y x)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* y (+ 1 (* 2 (/ x y))))
(* -1 (* y (- (* -2 (/ x y)) 1)))
Calls

6 calls:

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

simplify173.0ms (7.1%)

Memory
30.2MiB live, 150.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02329
16429
214129
339529
4110429
5253129
6342429
7429829
8477229
9494729
10503729
11573529
12605129
13605129
14605129
15605129
0806924
Stop Event
iter limit
node limit
Counts
7 → 6
Calls
Call 1
Inputs
y
(+ y (* 2 x))
(* 2 x)
(* x (+ 2 (/ y x)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* y (+ 1 (* 2 (/ x y))))
(* -1 (* y (- (* -2 (/ x y)) 1)))
Outputs
y
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (/ y x)))
(fma.f64 #s(literal 2 binary64) x y)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 #s(literal 2 binary64) x y)
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 #s(literal 2 binary64) x y)
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 #s(literal 2 binary64) x y)

rewrite137.0ms (5.6%)

Memory
-17.5MiB live, 177.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0816
01016
14816
240415
3602915
0803315
Stop Event
iter limit
node limit
iter limit
Counts
3 → 149
Calls
Call 1
Inputs
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) x y)
Outputs
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) #s(literal 0 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 x x)
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 y (fma.f64 #s(literal 2 binary64) x y))))
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 y (*.f64 #s(literal 2 binary64) x)) y)))
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 y (*.f64 #s(literal 2 binary64) x)) y) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 y (*.f64 #s(literal 2 binary64) x)) y) (-.f64 (*.f64 (-.f64 y (*.f64 #s(literal 2 binary64) x)) y) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 2 binary64) x y)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 #s(literal 2 binary64) x y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) y)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (neg.f64 x) y) (-.f64 (*.f64 (neg.f64 x) y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 2 binary64) x y)) (*.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 2 binary64) x y))) (fma.f64 #s(literal 2 binary64) x y))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (neg.f64 y) y)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (neg.f64 y) y))) (fma.f64 #s(literal 2 binary64) x y))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (neg.f64 y)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (fma.f64 y y (*.f64 #s(literal -4 binary64) (*.f64 x x))) (pow.f64 (-.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (neg.f64 y) y)))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (-.f64 y (*.f64 #s(literal 2 binary64) x)) y)) #s(literal -1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 2 binary64) x y)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x y))
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (neg.f64 y) y))) (pow.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (-.f64 y (*.f64 #s(literal 2 binary64) x)) y))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))) (pow.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (neg.f64 y) y)) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 0 binary64) y) (fma.f64 #s(literal 2 binary64) x y)) (pow.f64 (+.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (-.f64 y (*.f64 #s(literal 2 binary64) x)) y)) (/.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (-.f64 y (*.f64 #s(literal 2 binary64) x)) y))))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (-.f64 y (*.f64 #s(literal 2 binary64) x)) y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (-.f64 y (*.f64 #s(literal 2 binary64) x)) y)) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (-.f64 y (*.f64 #s(literal 2 binary64) x)) y)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) x y) (pow.f64 (fma.f64 (neg.f64 x) y (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
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(fma.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)) x)
(fma.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)) x)
(fma.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) x)
(fma.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y)))))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y)))))
(fma.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)) x)
(fma.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(fma.f64 #s(literal 1 binary64) (+.f64 y x) x)
(fma.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64)) x)
(fma.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y)))))
(fma.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) x)
(fma.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 (+.f64 y x) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) x)
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y)))))
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 0 binary64) y)))))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y)))))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (+.f64 #s(literal 0 binary64) y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 0 binary64) y)))))
(fma.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 x y)) x)
(fma.f64 (+.f64 y x) (*.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) x)
(fma.f64 x (/.f64 (*.f64 #s(literal 4 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y)))))
(fma.f64 x #s(literal 2 binary64) y)
(-.f64 (+.f64 x (*.f64 x (/.f64 x (-.f64 x y)))) (*.f64 y (/.f64 y (-.f64 x y))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 y (*.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (*.f64 x x) (neg.f64 y)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (neg.f64 y)))
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) y))) (*.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y))))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (-.f64 (*.f64 y (/.f64 y (-.f64 x y))) x))
(-.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) y)) (*.f64 x (/.f64 x (+.f64 #s(literal 0 binary64) y))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 2 binary64) x) y)))))
(+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 0 binary64) y)))))
(+.f64 (*.f64 #s(literal 2 binary64) x) y)
(+.f64 (+.f64 y x) x)
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(+.f64 x (+.f64 y x))

eval48.0ms (2%)

Memory
-3.8MiB live, 34.2MiB allocated
Compiler

Compiled 3 284 to 445 computations (86.4% saved)

prune3.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1501151
Fresh000
Picked112
Done000
Total1512153
Accuracy
100.0%
Counts
153 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 #s(literal 2 binary64) x y)
50.3%
#s(approx (+ (+ x y) x) (+.f64 x x))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify3.0ms (0.1%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(+.f64 x x)
cost-diff0
#s(approx (+ (+ x y) x) (+.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0713
11213
21513
01512
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ x y) x) (+.f64 x x))
(+.f64 x x)
x
Outputs
#s(approx (+ (+ x y) x) (+.f64 x x))
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x

localize12.0ms (0.5%)

Memory
20.9MiB live, 20.9MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x x)
accuracy31.806999744764962
#s(approx (+ (+ x y) x) (+.f64 x x))
Samples
8.0ms256×0valid
Compiler

Compiled 24 to 13 computations (45.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 3.0ms (87.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series24.0ms (1%)

Memory
-35.5MiB live, 3.7MiB allocated
Counts
2 → 7
Calls
Call 1
Inputs
#s(approx (+ (+ x y) x) (+.f64 x x))
(+.f64 x x)
Outputs
y
(+ y (* 2 x))
(* 2 x)
(* x (+ 2 (/ y x)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* y (+ 1 (* 2 (/ x y))))
(* -1 (* y (- (* -2 (/ x y)) 1)))
Calls

6 calls:

TimeVariablePointExpression
23.0ms
x
@0
((+ (+ x y) x) (+ x x))
1.0ms
x
@-inf
((+ (+ x y) x) (+ x x))
0.0ms
x
@inf
((+ (+ x y) x) (+ x x))
0.0ms
y
@-inf
((+ (+ x y) x) (+ x x))
0.0ms
y
@inf
((+ (+ x y) x) (+ x x))

simplify169.0ms (7%)

Memory
14.4MiB live, 133.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02329
16429
214129
339529
4110429
5253129
6342429
7429829
8477229
9494729
10503729
11573529
12605129
13605129
14605129
15605129
0806924
Stop Event
iter limit
node limit
Counts
7 → 6
Calls
Call 1
Inputs
y
(+ y (* 2 x))
(* 2 x)
(* x (+ 2 (/ y x)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* y (+ 1 (* 2 (/ x y))))
(* -1 (* y (- (* -2 (/ x y)) 1)))
Outputs
y
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (/ y x)))
(fma.f64 #s(literal 2 binary64) x y)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 #s(literal 2 binary64) x y)
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 #s(literal 2 binary64) x y)
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 #s(literal 2 binary64) x y)

rewrite34.0ms (1.4%)

Memory
-1.8MiB live, 37.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0612
0712
14112
034611
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
2 → 12
Calls
Call 1
Inputs
#s(approx (+ (+ x y) x) (+.f64 x x))
(+.f64 x x)
Outputs
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.f64 x x)

eval1.0ms (0.1%)

Memory
2.8MiB live, 2.8MiB allocated
Compiler

Compiled 177 to 45 computations (74.6% saved)

prune2.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New14014
Fresh000
Picked011
Done011
Total14216
Accuracy
100.0%
Counts
16 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 #s(literal 2 binary64) x y)
50.3%
#s(approx (+ (+ x y) x) (+.f64 x x))
Compiler

Compiled 40 to 22 computations (45% saved)

regimes7.0ms (0.3%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ x y) x) (+.f64 x x))
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
(+.f64 (+.f64 x y) x)
(fma.f64 #s(literal 2 binary64) x y)
Outputs
(fma.f64 #s(literal 2 binary64) x y)
Calls

3 calls:

2.0ms
(+.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 7 to 8 computations (-14.3% saved)

regimes56.0ms (2.3%)

Memory
-37.4MiB live, 51.2MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ x y) x) (+.f64 x x))
#s(approx (+ (+ x y) x) (*.f64 #s(literal 2 binary64) x))
(+.f64 (+.f64 x y) x)
Outputs
(+.f64 (+.f64 x y) x)
Calls

3 calls:

52.0ms
y
2.0ms
x
2.0ms
(+.f64 (+.f64 x y) x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (+.f64 x y) x)
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes5.0ms (0.2%)

Memory
14.4MiB live, 14.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

2.0ms
y
2.0ms
(+.f64 (+.f64 x y) x)
1.0ms
x
Results
AccuracySegmentsBranch
50.3%1x
50.3%1y
50.3%1(+.f64 (+.f64 x y) x)
Compiler

Compiled 7 to 8 computations (-14.3% saved)

simplify24.0ms (1%)

Memory
15.1MiB live, 53.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01018
11218
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 #s(literal 2 binary64) x y)
(+.f64 (+.f64 x y) x)
#s(approx (+ (+ x y) x) (+.f64 x x))
Outputs
(fma.f64 #s(literal 2 binary64) x y)
(+.f64 (+.f64 x y) x)
(+.f64 (+.f64 y x) x)
#s(approx (+ (+ x y) x) (+.f64 x x))

soundness593.0ms (24.4%)

Memory
-28.8MiB live, 329.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03545
110245
223145
369345
4181445
5276045
6382045
7428845
8458045
9466345
10653545
0831840
048
068
1328
22798
346218
081147
0816
01016
14816
240415
3602915
0803315
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 39 to 27 computations (30.8% saved)

preprocess42.0ms (1.7%)

Memory
3.9MiB live, 82.9MiB allocated
Compiler

Compiled 56 to 38 computations (32.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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