Graphics.Rendering.Chart.Plot.Pie:renderPie from Chart-1.5.3

Time bar (total: 2.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

sample936.0ms (33.9%)

Memory
6.0MiB live, 909.8MiB allocated
Samples
304.0ms2 866×1valid
281.0ms1 100×2valid
125.0ms4 290×0valid
Precisions
Click to see histograms. Total time spent on operations: 365.0ms
ival-sub: 195.0ms (53.4% of total)
ival-add: 83.0ms (22.7% of total)
adjust: 78.0ms (21.4% of total)
ival-true: 6.0ms (1.6% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain67.0ms (2.4%)

Memory
-4.9MiB live, 113.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1270-0-(-.f64 (+.f64 x y) x)
00-0-y
00-0-(+.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (+.f64 x y) x)cancellation1270
Confusion
Predicted +Predicted -
+1270
-0129
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12700
-00129
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0129
1127
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
14.0ms262×0valid
11.0ms176×1valid
7.0ms74×2valid
Compiler

Compiled 31 to 16 computations (48.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 5.0ms (38.9% of total)
adjust: 4.0ms (31.1% of total)
ival-sub: 4.0ms (31.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess397.0ms (14.4%)

Memory
26.2MiB live, 254.6MiB allocated
Algorithm
egg-herbie
Rules
9 632×lower-fma.f64
9 632×lower-fma.f32
1 810×associate-+r+
1 430×associate-+r-
1 308×unsub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01229
13525
21287
33207
45927
511067
616547
725187
830357
932927
1033387
1133547
1233707
1333707
1435827
1537707
1637927
1737967
1838007
045
065
1115
2223
3471
4741
52051
67331
716231
825031
929791
1032201
1132681
1232811
1332811
1439671
1543751
1647431
1748751
1849631
1949631
2050431
2150431
2271921
2378661
081501
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (+.f64 x y) x)
Outputs
(-.f64 (+.f64 x y) x)
y
Symmetry

(abs x)

(negabs y)

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.7%
(-.f64 (+.f64 x y) x)
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify330.0ms (11.9%)

Memory
-25.2MiB live, 222.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x y)
cost-diff384
(-.f64 (+.f64 x y) x)
Rules
9 632×lower-fma.f64
9 632×lower-fma.f32
1 308×unsub-neg
1 202×distribute-lft-in
1 039×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0410
0614
11114
22210
3476
4746
52056
67336
716236
825036
929796
1032206
1132686
1232816
1332816
1439676
1543756
1647436
1748756
1849636
1949636
2050436
2150436
2271926
2378666
081506
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 x y) x)
(+.f64 x y)
x
y
Outputs
(-.f64 (+.f64 x y) x)
y
(+.f64 x y)
(+.f64 y x)
x
y

localize18.0ms (0.7%)

Memory
24.2MiB live, 24.2MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x y)
accuracy29.60998614690813
(-.f64 (+.f64 x y) x)
Samples
5.0ms88×1valid
4.0ms131×0valid
3.0ms37×2valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 2.0ms (31.8% of total)
adjust: 2.0ms (31.8% of total)
ival-sub: 2.0ms (31.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
2.1MiB live, 2.1MiB allocated
Counts
2 → 48
Calls
Call 1
Inputs
#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt y (taylor 0 x) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor inf x) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor inf x) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor inf x) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor inf x) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf x) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf x) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf x) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf x) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 (+.f64 x y) x) (patch (-.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
Calls

12 calls:

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

simplify192.0ms (6.9%)

Memory
-9.0MiB live, 110.8MiB allocated
Algorithm
egg-herbie
Rules
1 780×lower-*.f64
1 780×lower-*.f32
1 556×lower-/.f32
1 556×lower-/.f64
1 054×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01984
15784
212784
338584
4107484
5199684
6268684
7319184
8363084
9383084
10386484
11460084
12483384
13556784
14659984
15754884
0807884
Stop Event
iter limit
node limit
Counts
48 → 18
Calls
Call 1
Inputs
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)

rewrite199.0ms (7.2%)

Memory
23.5MiB live, 249.7MiB allocated
Rules
3 161×lower-fma.f64
3 161×lower-fma.f32
2 301×lower-*.f64
2 301×lower-*.f32
1 077×lower-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048
068
1348
23056
348646
084836
Stop Event
iter limit
node limit
iter limit
Counts
2 → 233
Calls
Call 1
Inputs
(-.f64 (+.f64 x y) x)
(+.f64 x y)
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x y) x (*.f64 (+.f64 y x) (+.f64 y x))) (*.f64 (fma.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (*.f64 (*.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (*.f64 (*.f64 x x) x))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x y) x (*.f64 (+.f64 y x) (+.f64 y x))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) (+.f64 y x)) (*.f64 (+.f64 y x) (+.f64 y x))) (*.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) (+.f64 y x)) (*.f64 (+.f64 y x) (+.f64 y x))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x y) (*.f64 (fma.f64 (+.f64 y x) (+.f64 y x) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) (-.f64 y #s(literal 0 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) (+.f64 y x) (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x y) (*.f64 (fma.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (*.f64 (*.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (*.f64 (+.f64 y x) (+.f64 y x)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 y x) (+.f64 y x) (*.f64 x x))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x y) x (*.f64 (+.f64 y x) (+.f64 y x))) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (-.f64 y #s(literal 0 binary64))) (*.f64 (+.f64 y x) x)))) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (-.f64 y #s(literal 0 binary64))) (*.f64 (+.f64 y x) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) x) (*.f64 (fma.f64 #s(literal 2 binary64) x y) x)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) x) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) (+.f64 y x)) (*.f64 (+.f64 y x) (+.f64 y x))))) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) x) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) x) (*.f64 (+.f64 y x) (+.f64 y x))) (*.f64 (*.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) (+.f64 y x))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (-.f64 y #s(literal 0 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) x y) (-.f64 y #s(literal 0 binary64)))) (-.f64 y #s(literal 0 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (-.f64 y #s(literal 0 binary64))) (fma.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (*.f64 (*.f64 x x) x))) (fma.f64 (+.f64 y x) (+.f64 y x) (*.f64 x (-.f64 x (+.f64 y x)))))
(*.f64 (*.f64 (-.f64 y #s(literal 0 binary64)) (-.f64 x (-.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x y) (-.f64 y #s(literal 0 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) (-.f64 y #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) x (*.f64 (+.f64 y x) (+.f64 y x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) x (*.f64 (+.f64 y x) (+.f64 y x)))) (fma.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x) (*.f64 (*.f64 x x) x)))
(*.f64 #s(literal 1 binary64) (-.f64 y #s(literal 0 binary64)))
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(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))))))
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (-.f64 x y) (+.f64 y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (-.f64 y x)) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x))) (+.f64 y x))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x))) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(*.f64 (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (+.f64 y x) (pow.f64 (/.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64)))
(*.f64 (+.f64 y x) (pow.f64 (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))) #s(literal 1 binary64)))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 x y)))
(*.f64 (+.f64 y x) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64))
(pow.f64 (+.f64 y x) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 y y (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y)))) (*.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 x y)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y))) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y)) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(neg.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 x y)))
(neg.f64 (/.f64 (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(neg.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 y x)))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y))) (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) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (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)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 y x)
(+.f64 x y)

eval33.0ms (1.2%)

Memory
-22.1MiB live, 62.7MiB allocated
Compiler

Compiled 7 401 to 633 computations (91.4% saved)

prune40.0ms (1.4%)

Memory
-5.6MiB live, 71.2MiB allocated
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New2501251
Fresh000
Picked101
Done000
Total2511252
Accuracy
100.0%
Counts
252 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 y #s(literal 0 binary64))
Compiler

Compiled 5 to 4 computations (20% saved)

simplify4.0ms (0.1%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff192
(-.f64 y #s(literal 0 binary64))
Rules
lower-+.f64
lower-+.f32
--rgt-identity
lift--.f64
sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035
043
163
293
093
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 y #s(literal 0 binary64))
y
#s(literal 0 binary64)
Outputs
(-.f64 y #s(literal 0 binary64))
y
y
#s(literal 0 binary64)

localize10.0ms (0.4%)

Memory
12.4MiB live, 12.4MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 y #s(literal 0 binary64))
Samples
6.0ms256×0valid
Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (61.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Counts
1 → 12
Calls
Call 1
Inputs
#s(alt (-.f64 y #s(literal 0 binary64)) (patch (-.f64 y #s(literal 0 binary64)) #<representation binary64>) () ())
Outputs
#s(alt y (taylor 0 y) (#s(alt (-.f64 y #s(literal 0 binary64)) (patch (-.f64 y #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (-.f64 y #s(literal 0 binary64)) (patch (-.f64 y #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (-.f64 y #s(literal 0 binary64)) (patch (-.f64 y #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (-.f64 y #s(literal 0 binary64)) (patch (-.f64 y #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 y #s(literal 0 binary64)) (patch (-.f64 y #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 y #s(literal 0 binary64)) (patch (-.f64 y #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 y #s(literal 0 binary64)) (patch (-.f64 y #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 y #s(literal 0 binary64)) (patch (-.f64 y #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 y #s(literal 0 binary64)) (patch (-.f64 y #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 y #s(literal 0 binary64)) (patch (-.f64 y #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 y #s(literal 0 binary64)) (patch (-.f64 y #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 y #s(literal 0 binary64)) (patch (-.f64 y #s(literal 0 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

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

simplify2.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
0112
Stop Event
saturated
saturated
Counts
12 → 0
Calls
Call 1
Inputs
y
y
y
y
y
y
y
y
y
y
y
y
Outputs
y
y
y
y
y
y
y
y
y
y
y
y

rewrite157.0ms (5.7%)

Memory
-10.2MiB live, 124.1MiB allocated
Rules
1 038×frac-times
888×unpow-prod-down
454×frac-2neg
390×div-inv
376×cube-div
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
041
1181
21581
318951
476491
041
1181
21581
318951
041
1181
21581
018951
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
1 → 96
Calls
Call 1
Inputs
(-.f64 y #s(literal 0 binary64))
Outputs
(*.f64 (/.f64 (*.f64 y y) (*.f64 (neg.f64 y) y)) (neg.f64 y))
(*.f64 (/.f64 (*.f64 y y) (*.f64 (neg.f64 y) (*.f64 y y))) (*.f64 (neg.f64 y) y))
(*.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) y)) (*.f64 (*.f64 y y) y))
(*.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y y)))
(*.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 y (*.f64 (*.f64 y y) y)) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) y) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) y))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 y) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)))
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 y #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(pow.f64 y #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) y)) y)
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (*.f64 y y))) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 y y))) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y y) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 y y) (*.f64 (neg.f64 y) y)) (*.f64 (neg.f64 y) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 y y) (*.f64 (neg.f64 y) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 (neg.f64 y) y)))
(/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) y)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) y) #s(literal 1 binary64)) (*.f64 (*.f64 y y) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) y))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)))
(/.f64 (-.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 y) (*.f64 y y)) (*.f64 (neg.f64 y) #s(literal 0 binary64))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) (*.f64 y y)) y) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 0 binary64))) (*.f64 (neg.f64 y) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))) y)
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) (*.f64 (neg.f64 y) #s(literal 0 binary64))) (*.f64 (neg.f64 y) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 0 binary64))) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) y) #s(literal 0 binary64)) (*.f64 (*.f64 y y) (*.f64 y y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) y))
(/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) y))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 y) (*.f64 y y)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) y) (*.f64 (*.f64 y y) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y))))
(/.f64 (*.f64 y y) y)
(/.f64 (*.f64 (*.f64 y y) y) (*.f64 y y))
(neg.f64 (neg.f64 y))
(fma.f64 (/.f64 (*.f64 y y) (*.f64 (neg.f64 y) y)) (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (/.f64 (*.f64 y y) (*.f64 (neg.f64 y) y)) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 y y) (*.f64 (neg.f64 y) (*.f64 y y))) (*.f64 (neg.f64 y) y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (/.f64 (*.f64 y y) (*.f64 (neg.f64 y) (*.f64 y y))) (*.f64 (neg.f64 y) y) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) y)) (*.f64 (*.f64 y y) y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) y)) (*.f64 (*.f64 y y) y) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 y (*.f64 (*.f64 y y) y)) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (/.f64 y (*.f64 (*.f64 y y) y)) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) y) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) y) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64) y)
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) y (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) y #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 y) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 y) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 y #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 y #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 y #s(literal 0 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) y)
(+.f64 #s(literal 0 binary64) y)
(+.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(+.f64 y #s(literal 0 binary64))
y

eval13.0ms (0.5%)

Memory
-14.9MiB live, 24.0MiB allocated
Compiler

Compiled 1 298 to 158 computations (87.8% saved)

prune16.0ms (0.6%)

Memory
4.3MiB live, 42.9MiB allocated
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New95196
Fresh000
Picked101
Done000
Total96197
Accuracy
100.0%
Counts
97 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
y
Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify3.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
011
011
Stop Event
saturated
saturated
saturated
Calls
Call 1
Inputs
y
Outputs
y

localize6.0ms (0.2%)

Memory
14.9MiB live, 14.9MiB allocated
Samples
4.0ms256×0valid
Compiler

Compiled 3 to 4 computations (-33.3% saved)

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

series0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

simplify4.0ms (0.1%)

Memory
-39.6MiB live, 2.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
000
Stop Event
saturated
saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

rewrite11.0ms (0.4%)

Memory
21.5MiB live, 21.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
000
000
Stop Event
saturated
saturated
saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Accuracy
100.0%
Counts
1 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
y
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes7.0ms (0.2%)

Memory
-25.4MiB live, 13.7MiB allocated
Accuracy

Total -29.6b remaining (-∞%)

Threshold costs -29.6b (-∞%)

Counts
3 → 1
Calls
Call 1
Inputs
y
(-.f64 y #s(literal 0 binary64))
(-.f64 (+.f64 x y) x)
Outputs
y
Calls

3 calls:

3.0ms
x
2.0ms
y
1.0ms
(-.f64 (+.f64 x y) 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)

simplify6.0ms (0.2%)

Memory
16.9MiB live, 16.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
Stop Event
saturated
Calls
Call 1
Inputs
y
Outputs
y

soundness246.0ms (8.9%)

Memory
-9.1MiB live, 185.6MiB allocated
Rules
3 161×lower-fma.f64
3 161×lower-fma.f32
2 301×lower-*.f64
2 301×lower-*.f32
1 077×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
041
1181
21581
318951
476491
041
1181
21581
318951
041
1181
21581
018951
048
068
1348
23056
348646
084836
Stop Event
done
iter limit
node limit
iter limit
iter limit
iter limit
iter limit
unsound
iter limit
Compiler

Compiled 19 to 12 computations (36.8% saved)

preprocess60.0ms (2.2%)

Memory
30.5MiB live, 68.5MiB allocated
Remove

(negabs y)

(abs x)

Compiler

Compiled 42 to 28 computations (33.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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