Linear.Matrix:fromQuaternion from linear-1.19.1.3, B

Time bar (total: 3.5s)

start0.0ms (0%)

Memory
0.0MiB 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 11 to 9 computations (18.2% saved)

sample903.0ms (25.5%)

Memory
53.1MiB live, 951.1MiB allocated
Samples
600.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 344.0ms
ival-mult: 287.0ms (83.5% of total)
ival-add: 42.0ms (12.2% of total)
ival-true: 6.0ms (1.7% of total)
exact: 6.0ms (1.7% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain237.0ms (6.7%)

Memory
-171.7MiB live, 180.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
170-0-(+.f64 (*.f64 x x) (*.f64 x y))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
00-0-(*.f64 x x)
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 x x) (*.f64 x y))nan-rescue170
(*.f64 x x)overflow71
(*.f64 x y)overflow37
Confusion
Predicted +Predicted -
+170
-0239
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1700
-00239
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0239
117
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
39.0ms512×0valid
Compiler

Compiled 88 to 32 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 21.0ms (84% of total)
ival-add: 3.0ms (12% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess48.0ms (1.4%)

Memory
21.3MiB live, 57.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01939
17135
222035
363835
4100035
5121935
6160035
7162035
8162035
079
0117
1227
2407
3637
4637
0637
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
Outputs
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.3%
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify23.0ms (0.7%)

Memory
-23.5MiB live, 9.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
cost-diff320
(+.f64 (*.f64 x x) (*.f64 x y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0725
01121
12221
24021
36321
46321
06321
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
#s(literal 2 binary64)
(+.f64 (*.f64 x x) (*.f64 x y))
(*.f64 x x)
x
(*.f64 x y)
y
Outputs
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
#s(literal 2 binary64)
(+.f64 (*.f64 x x) (*.f64 x y))
(*.f64 (+.f64 y x) x)
(*.f64 x x)
x
(*.f64 x y)
(*.f64 y x)
y

localize54.0ms (1.5%)

Memory
-4.4MiB live, 88.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x y)
accuracy0
(*.f64 x x)
accuracy0.00390625
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
accuracy3.7499855508114406
(+.f64 (*.f64 x x) (*.f64 x y))
Samples
36.0ms256×0valid
Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 8.0ms (72.5% of total)
ival-add: 2.0ms (18.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.4%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.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 (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ x y)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ x y)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ x y)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 x) (* 2 y))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 x) (* 2 y))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 x) (* 2 y))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<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 y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y))
2.0ms
y
@-inf
((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y))
2.0ms
x
@-inf
((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y))
1.0ms
x
@0
((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y))
1.0ms
y
@inf
((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y))

simplify130.0ms (3.7%)

Memory
26.7MiB live, 134.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040372
1134372
2345372
3758372
41650372
53590372
65835372
77071372
08068372
Stop Event
iter limit
node limit
Counts
84 → 84
Calls
Call 1
Inputs
(pow x 2)
(+ (* x y) (pow x 2))
(+ (* x y) (pow x 2))
(+ (* x y) (pow x 2))
(* 2 (pow x 2))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x (/ (pow x 2) y)))
(* y (+ x (/ (pow x 2) y)))
(* y (+ x (/ (pow x 2) y)))
(* 2 (* x y))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(* 2 (* x y))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ x y))
(* x (+ x y))
(* x (+ x y))
(* 2 (* x y))
(* x (+ (* 2 x) (* 2 y)))
(* x (+ (* 2 x) (* 2 y)))
(* x (+ (* 2 x) (* 2 y)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* x y)
(* x y)
(* x y)
(* x y)
(pow x 2)
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* x y)
(* x y)
(* x y)
(* x y)
(pow x 2)
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(pow x 2)
(*.f64 x x)
(+ (* x y) (pow x 2))
(*.f64 (+.f64 y x) x)
(+ (* x y) (pow x 2))
(*.f64 (+.f64 y x) x)
(+ (* x y) (pow x 2))
(*.f64 (+.f64 y x) x)
(* 2 (pow x 2))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (+ x (/ (pow x 2) y)))
(*.f64 (+.f64 y x) x)
(* y (+ x (/ (pow x 2) y)))
(*.f64 (+.f64 y x) x)
(* y (+ x (/ (pow x 2) y)))
(*.f64 (+.f64 y x) x)
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(*.f64 (+.f64 y x) x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(*.f64 (+.f64 y x) x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(*.f64 (+.f64 y x) x)
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (+ x y))
(*.f64 (+.f64 y x) x)
(* x (+ x y))
(*.f64 (+.f64 y x) x)
(* x (+ x y))
(*.f64 (+.f64 y x) x)
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* x (+ (* 2 x) (* 2 y)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* x (+ (* 2 x) (* 2 y)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* x (+ (* 2 x) (* 2 y)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ y x)))
(*.f64 (+.f64 y x) x)
(* (pow x 2) (+ 1 (/ y x)))
(*.f64 (+.f64 y x) x)
(* (pow x 2) (+ 1 (/ y x)))
(*.f64 (+.f64 y x) x)
(* 2 (pow x 2))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ y x)))
(*.f64 (+.f64 y x) x)
(* (pow x 2) (+ 1 (/ y x)))
(*.f64 (+.f64 y x) x)
(* (pow x 2) (+ 1 (/ y x)))
(*.f64 (+.f64 y x) x)
(* 2 (pow x 2))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite407.0ms (11.5%)

Memory
17.3MiB live, 313.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0722
01118
13618
225218
3228418
0863618
Stop Event
iter limit
node limit
iter limit
Counts
4 → 269
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 x x)
(*.f64 x y)
Outputs
#<batchref>
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eval48.0ms (1.4%)

Memory
-28.0MiB live, 93.9MiB allocated
Compiler

Compiled 7 799 to 931 computations (88.1% saved)

prune7.0ms (0.2%)

Memory
32.3MiB live, 32.2MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3494353
Fresh000
Picked101
Done000
Total3504354
Accuracy
100.0%
Counts
354 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
97.2%
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x)))
56.0%
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
59.3%
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify6.0ms (0.2%)

Memory
-20.7MiB live, 17.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(+.f64 y x)
cost-diff0
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x)))
cost-diff192
(fma.f64 y x (*.f64 x x))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (+ (* x x) (* x y)) (*.f64 y x))
cost-diff0
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
cost-diff0
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01891
02783
15483
27183
37783
07783
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
#s(literal 2 binary64)
#s(approx (+ (* x x) (* x y)) (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x)))
#s(literal 2 binary64)
(fma.f64 y x (*.f64 x x))
y
x
(*.f64 x x)
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
(+.f64 y x)
y
x
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
Outputs
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
(*.f64 #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* x x) (* x y)) (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
#s(literal 2 binary64)
(fma.f64 y x (*.f64 x x))
(*.f64 (+.f64 y x) x)
y
x
(*.f64 x x)
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(+.f64 y x)
y
x
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize99.0ms (2.8%)

Memory
-11.7MiB live, 132.4MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y x)
accuracy0
(*.f64 #s(literal 2 binary64) x)
accuracy0.00390625
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
accuracy0
(*.f64 x x)
accuracy0.00390625
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x)))
accuracy1.7577932332389217
(fma.f64 y x (*.f64 x x))
accuracy0
(*.f64 y x)
accuracy0.00390625
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
accuracy28.18231806441965
#s(approx (+ (* x x) (* x y)) (*.f64 y x))
accuracy0
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
accuracy0
(*.f64 #s(literal 2 binary64) x)
accuracy26.01974439789447
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Samples
89.0ms256×0valid
Compiler

Compiled 149 to 30 computations (79.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-mult: 74.0ms (94.6% of total)
ival-add: 4.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series88.0ms (2.5%)

Memory
-20.2MiB live, 17.6MiB allocated
Counts
11 → 228
Calls
Call 1
Inputs
#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt (* 2 (pow x 2)) (taylor 0 y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow x 2) y))) (taylor inf y) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow x 2) y))) (taylor inf y) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow x 2) y))) (taylor inf y) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((* 2 (+ (* x x) (* x y))) (* (* 2 x) x) (* 2 x) (* 2 (+ (* x x) (* x y))) (+ (* x x) (* x y)) (* y x) (+ (* y x) (* x x)) (* 2 (+ (* y x) (* x x))) (* x x) (* (+ y x) (* 2 x)) (+ y x))
1.0ms
x
@inf
((* 2 (+ (* x x) (* x y))) (* (* 2 x) x) (* 2 x) (* 2 (+ (* x x) (* x y))) (+ (* x x) (* x y)) (* y x) (+ (* y x) (* x x)) (* 2 (+ (* y x) (* x x))) (* x x) (* (+ y x) (* 2 x)) (+ y x))
1.0ms
x
@0
((* 2 (+ (* x x) (* x y))) (* (* 2 x) x) (* 2 x) (* 2 (+ (* x x) (* x y))) (+ (* x x) (* x y)) (* y x) (+ (* y x) (* x x)) (* 2 (+ (* y x) (* x x))) (* x x) (* (+ y x) (* 2 x)) (+ y x))
1.0ms
y
@-inf
((* 2 (+ (* x x) (* x y))) (* (* 2 x) x) (* 2 x) (* 2 (+ (* x x) (* x y))) (+ (* x x) (* x y)) (* y x) (+ (* y x) (* x x)) (* 2 (+ (* y x) (* x x))) (* x x) (* (+ y x) (* 2 x)) (+ y x))
1.0ms
y
@inf
((* 2 (+ (* x x) (* x y))) (* (* 2 x) x) (* 2 x) (* 2 (+ (* x x) (* x y))) (+ (* x x) (* x y)) (* y x) (+ (* y x) (* x x)) (* 2 (+ (* y x) (* x x))) (* x x) (* (+ y x) (* 2 x)) (+ y x))

simplify134.0ms (3.8%)

Memory
45.8MiB live, 192.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0521104
11781104
24401104
312231104
423271104
538771104
655631104
766191104
080361104
Stop Event
iter limit
node limit
Counts
228 → 222
Calls
Call 1
Inputs
(* 2 (pow x 2))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(* 2 (pow x 2))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(pow x 2)
(+ (* x y) (pow x 2))
(+ (* x y) (pow x 2))
(+ (* x y) (pow x 2))
(* x y)
(* x y)
(* x y)
(* x y)
(pow x 2)
(+ (* x y) (pow x 2))
(+ (* x y) (pow x 2))
(+ (* x y) (pow x 2))
(* 2 (pow x 2))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(* 2 (pow x 2))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
x
(+ x y)
(+ x y)
(+ x y)
(* 2 (* x y))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* 2 (* x y))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* x y)
(* y (+ x (/ (pow x 2) y)))
(* y (+ x (/ (pow x 2) y)))
(* y (+ x (/ (pow x 2) y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x (/ (pow x 2) y)))
(* y (+ x (/ (pow x 2) y)))
(* y (+ x (/ (pow x 2) y)))
(* 2 (* x y))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* 2 (* x y))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* 2 (* x y))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(* 2 (* x y))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(* 2 (* x y))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(* 2 (* x y))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 2 (* x y))
(* x (+ (* 2 x) (* 2 y)))
(* x (+ (* 2 x) (* 2 y)))
(* x (+ (* 2 x) (* 2 y)))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 (* x y))
(* x (+ (* 2 x) (* 2 y)))
(* x (+ (* 2 x) (* 2 y)))
(* x (+ (* 2 x) (* 2 y)))
(* x y)
(* x (+ x y))
(* x (+ x y))
(* x (+ x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ x y))
(* x (+ x y))
(* x (+ x y))
(* 2 (* x y))
(* x (+ (* 2 x) (* 2 y)))
(* x (+ (* 2 x) (* 2 y)))
(* x (+ (* 2 x) (* 2 y)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 (* x y))
(* x (+ (* 2 x) (* 2 y)))
(* x (+ (* 2 x) (* 2 y)))
(* x (+ (* 2 x) (* 2 y)))
y
(+ x y)
(+ x y)
(+ x y)
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(pow x 2)
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(* x y)
(* x y)
(* x y)
(* x y)
(pow x 2)
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(pow x 2)
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(* x y)
(* x y)
(* x y)
(* x y)
(pow x 2)
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
Outputs
(* 2 (pow x 2))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(pow x 2)
(*.f64 x x)
(+ (* x y) (pow x 2))
(*.f64 (+.f64 y x) x)
(+ (* x y) (pow x 2))
(*.f64 (+.f64 y x) x)
(+ (* x y) (pow x 2))
(*.f64 (+.f64 y x) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(pow x 2)
(*.f64 x x)
(+ (* x y) (pow x 2))
(*.f64 (+.f64 y x) x)
(+ (* x y) (pow x 2))
(*.f64 (+.f64 y x) x)
(+ (* x y) (pow x 2))
(*.f64 (+.f64 y x) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* x y)
(*.f64 y x)
(* y (+ x (/ (pow x 2) y)))
(*.f64 (+.f64 y x) x)
(* y (+ x (/ (pow x 2) y)))
(*.f64 (+.f64 y x) x)
(* y (+ x (/ (pow x 2) y)))
(*.f64 (+.f64 y x) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (+ x (/ (pow x 2) y)))
(*.f64 (+.f64 y x) x)
(* y (+ x (/ (pow x 2) y)))
(*.f64 (+.f64 y x) x)
(* y (+ x (/ (pow x 2) y)))
(*.f64 (+.f64 y x) x)
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* x y)
(*.f64 y x)
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rewrite394.0ms (11.1%)

Memory
-30.9MiB live, 217.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01877
02769
19369
250569
3491669
0865869
Stop Event
iter limit
node limit
iter limit
Counts
11 → 472
Calls
Call 1
Inputs
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
#s(approx (+ (* x x) (* x y)) (*.f64 y x))
(*.f64 y x)
(fma.f64 y x (*.f64 x x))
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x)))
(*.f64 x x)
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
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Outputs
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eval285.0ms (8.1%)

Memory
-6.4MiB live, 149.8MiB allocated
Compiler

Compiled 12 180 to 1 137 computations (90.7% saved)

prune36.0ms (1%)

Memory
14.5MiB live, 52.8MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New7080708
Fresh000
Picked044
Done000
Total7084712
Accuracy
100.0%
Counts
712 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
97.2%
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x)))
56.0%
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
59.3%
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Compiler

Compiled 63 to 41 computations (34.9% saved)

regimes10.0ms (0.3%)

Memory
20.9MiB live, 20.9MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x)))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
Outputs
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
Calls

4 calls:

2.0ms
y
2.0ms
x
2.0ms
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
2.0ms
(+.f64 (*.f64 x x) (*.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
100.0%1(+.f64 (*.f64 x x) (*.f64 x y))
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes56.0ms (1.6%)

Memory
-15.6MiB live, 21.0MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
Outputs
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
Calls

4 calls:

51.0ms
(+.f64 (*.f64 x x) (*.f64 x y))
2.0ms
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
82.5%3x
86.2%3y
81.8%2(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
81.8%2(+.f64 (*.f64 x x) (*.f64 x y))
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes11.0ms (0.3%)

Memory
-23.3MiB live, 21.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

7.0ms
x
1.0ms
y
1.0ms
(+.f64 (*.f64 x x) (*.f64 x y))
1.0ms
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
Results
AccuracySegmentsBranch
59.3%1x
59.3%1(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
59.3%1(+.f64 (*.f64 x x) (*.f64 x y))
59.3%1y
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch28.0ms (0.8%)

Memory
24.4MiB live, 59.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
6.559460254521132e-22
7.198179684902008e-19
12.0ms
-2.7972486613174017e-50
-7.054475751051463e-57
Samples
15.0ms272×0valid
Compiler

Compiled 216 to 250 computations (-15.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 7.0ms (73.9% of total)
ival-add: 1.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify25.0ms (0.7%)

Memory
-0.3MiB live, 75.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02171
12771
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
(if (<=.f64 y #s(literal -5792176041770645/210624583337114373395836055367340864637790190801098222508621955072 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (if (<=.f64 y #s(literal 8772904772180445/664613997892457936451903530140172288 binary64)) #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))))
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Outputs
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(if (<=.f64 y #s(literal -5792176041770645/210624583337114373395836055367340864637790190801098222508621955072 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (if (<=.f64 y #s(literal 8772904772180445/664613997892457936451903530140172288 binary64)) #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))))
(if (<=.f64 y #s(literal -5792176041770645/210624583337114373395836055367340864637790190801098222508621955072 binary64)) (*.f64 #s(approx (+ (* x x) (* x y)) (*.f64 x y)) #s(literal 2 binary64)) (if (<=.f64 y #s(literal 8772904772180445/664613997892457936451903530140172288 binary64)) #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (*.f64 #s(approx (+ (* x x) (* x y)) (*.f64 x y)) #s(literal 2 binary64))))
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))

soundness434.0ms (12.3%)

Memory
12.3MiB live, 312.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0722
01118
13618
225218
3228418
0863618
040372
1134372
2345372
3758372
41650372
53590372
65835372
77071372
08068372
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 70 to 42 computations (40% saved)

preprocess65.0ms (1.8%)

Memory
-2.5MiB live, 179.5MiB allocated
Compiler

Compiled 110 to 60 computations (45.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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