Linear.Matrix:fromQuaternion from linear-1.19.1.3, B

Time bar (total: 3.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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)

sample1.2s (38%)

Memory
-23.7MiB live, 1 249.0MiB allocated
Samples
602.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 354.0ms
ival-mult: 280.0ms (79.1% of total)
ival-add: 60.0ms (17% of total)
ival-true: 6.0ms (1.7% of total)
exact: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain89.0ms (2.9%)

Memory
4.0MiB live, 121.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
110-0-(+.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-rescue110
(*.f64 x x)overflow65
(*.f64 x y)overflow28
Confusion
Predicted +Predicted -
+110
-0245
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1100
-00245
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0245
111
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
26.0ms512×0valid
Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 10.0ms (77.5% of total)
ival-add: 2.0ms (15.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess41.0ms (1.4%)

Memory
14.2MiB live, 52.2MiB allocated
Algorithm
egg-herbie
Rules
254×unsub-neg
206×associate-*r*
196×distribute-lft-in
192×associate-*l*
188×distribute-lft-neg-in
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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.7%
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify4.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB 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))
Rules
54×lower-*.f32
48×lower-*.f64
34×lower-fma.f64
34×lower-fma.f32
30×*-commutative
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 (1.8%)

Memory
-15.3MiB live, 22.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x y)
accuracy0
(*.f64 x x)
accuracy0.015625
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
accuracy2.292964621660412
(+.f64 (*.f64 x x) (*.f64 x y))
Samples
12.0ms256×0valid
Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (80.6% of total)
ival-add: 1.0ms (16.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
10.3MiB live, 10.3MiB 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
1.0ms
x
@inf
((+ (* 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))
1.0ms
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
@0
((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y))

simplify115.0ms (3.8%)

Memory
-8.9MiB live, 118.3MiB allocated
Algorithm
egg-herbie
Rules
4 618×lower-fma.f64
4 618×lower-fma.f32
3 418×lower-*.f64
3 418×lower-*.f32
1 342×unsub-neg
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)

rewrite227.0ms (7.4%)

Memory
19.9MiB live, 287.9MiB allocated
Rules
9 330×lower-fma.f64
9 330×lower-fma.f32
4 536×lower-/.f64
4 536×lower-/.f32
3 968×lower-*.f32
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
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x y) x) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x y) x) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (*.f64 y y) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y x) x) (-.f64 y x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 y x) x) (-.f64 y x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) (-.f64 y x)) (-.f64 (*.f64 (*.f64 (*.f64 y x) x) (-.f64 y x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 (+.f64 y x) x))
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) x) (/.f64 (*.f64 (-.f64 x y) x) (-.f64 x y)))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 x (-.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) x))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 x y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 y x) x)
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (+.f64 y x) x) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 y x) x) (/.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) x)))
(*.f64 (*.f64 (+.f64 y x) x) (*.f64 (*.f64 (-.f64 x y) x) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64))))
(*.f64 x (+.f64 y x))
(pow.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 y x))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 y x)))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (pow.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))) (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) x)) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 (*.f64 y y) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 x (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (-.f64 x y)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) x)) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (neg.f64 (*.f64 x (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (neg.f64 (*.f64 (neg.f64 x) (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (*.f64 x (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (neg.f64 (*.f64 (neg.f64 x) (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 x) (-.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) x) (-.f64 x y))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 x (-.f64 y x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (-.f64 x y)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64)) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x (-.f64 y x)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (neg.f64 x) (-.f64 x y)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal -2 binary64) (neg.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 y x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 x y) x))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 y x)) (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (-.f64 x y)) (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 y x) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 y x)) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (-.f64 x y)) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 y x)))) (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 y x)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) y (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 #s(literal 2 binary64) (*.f64 y x)))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 #s(literal 2 binary64) (*.f64 y x)))
(fma.f64 (*.f64 y x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 y (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 y x)))
(fma.f64 x (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (*.f64 y x)))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 y x)))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(exp.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (log.f64 x)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 y)) x)
(*.f64 (pow.f64 y #s(literal 1 binary64)) x)
(*.f64 y x)
(*.f64 x (exp.f64 (log.f64 y)))
(*.f64 x (pow.f64 y #s(literal 1 binary64)))
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))

eval46.0ms (1.5%)

Memory
2.4MiB live, 116.9MiB allocated
Compiler

Compiled 7 799 to 931 computations (88.1% saved)

prune8.0ms (0.3%)

Memory
-6.5MiB live, 32.7MiB 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))
99.2%
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x)))
54.3%
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
59.8%
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify5.0ms (0.2%)

Memory
14.4MiB live, 14.4MiB 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))
Rules
58×lower-*.f32
44×lower-*.f64
34×lower-fma.f32
32×lower-fma.f64
22×*-commutative
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)

localize47.0ms (1.6%)

Memory
-32.8MiB live, 102.9MiB 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)
accuracy0.015625
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x)))
accuracy0.49999449521112044
(fma.f64 y x (*.f64 x x))
accuracy0
(*.f64 y x)
accuracy0.015625
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
accuracy29.22655602523789
#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)
accuracy25.71581464086289
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Samples
38.0ms256×0valid
Compiler

Compiled 81 to 16 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 15.0ms (79.2% of total)
ival-add: 3.0ms (15.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.4%)

Memory
13.4MiB live, 13.4MiB 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>) () ())) ())
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#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#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 (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#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 (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#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 (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#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 -inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#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))

simplify152.0ms (5%)

Memory
22.3MiB live, 172.5MiB allocated
Algorithm
egg-herbie
Rules
5 816×lower-fma.f64
5 816×lower-fma.f32
5 794×lower-*.f64
5 794×lower-*.f32
1 394×associate-/r/
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)
(* -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)
(* 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)
(* 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)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y 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)
(* 2 (pow x 2))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 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)
(* 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)
(* 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)
(* 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)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(* 2 (pow x 2))
(*.f64 (*.f64 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) (+ 2 (* 2 (/ y x))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 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) (+ 2 (* 2 (/ y x))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) 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)
(* 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 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) (+ 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)
(* 2 (pow x 2))
(*.f64 (*.f64 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) (+ 2 (* 2 (/ y x))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* 2 (pow x 2))
(*.f64 (*.f64 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) (+ 2 (* 2 (/ y x))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 (*.f64 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) (+ 2 (* 2 (/ y x))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) 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)
(* 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 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) (+ 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)
(* 2 (pow x 2))
(*.f64 (*.f64 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) (+ 2 (* 2 (/ y x))))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)

rewrite218.0ms (7.2%)

Memory
19.1MiB live, 278.9MiB allocated
Rules
8 378×lower-fma.f32
8 376×lower-fma.f64
5 486×lower-*.f32
5 472×lower-*.f64
2 198×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01877
02769
19369
250569
3490569
0864969
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))
(+.f64 y x)
Outputs
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #s(literal 2 binary64))
(*.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)
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x y) x) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x y) x) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 y y) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (-.f64 x y) x (*.f64 y y))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (-.f64 x y) x (*.f64 y y))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (-.f64 x y) x (*.f64 y y))) (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (-.f64 x y) x (*.f64 y y))) (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 y y) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) (*.f64 (-.f64 y x) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) x (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) x) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x))
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(*.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) x (*.f64 y y)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 x y))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x y) x) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (*.f64 (-.f64 y x) (+.f64 y x)))
(*.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(*.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 y x))) (pow.f64 (neg.f64 (-.f64 y x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 (+.f64 y x) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 y x)))
(*.f64 (+.f64 y x) (*.f64 (-.f64 y x) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (fma.f64 y y (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64))) (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 y x)))) (neg.f64 (neg.f64 (-.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (-.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 y x) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 y x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 y x))) (-.f64 y x)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(neg.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (neg.f64 (-.f64 y x))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) y)
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) x (*.f64 y y)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 y (/.f64 y (-.f64 y x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(+.f64 y x)
(+.f64 x y)

eval227.0ms (7.5%)

Memory
8.5MiB live, 168.6MiB allocated
Compiler

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

prune58.0ms (1.9%)

Memory
-59.0MiB live, 93.6MiB 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))
99.2%
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x)))
54.3%
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
59.8%
#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
11.9MiB live, 11.9MiB 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
(+.f64 (*.f64 x x) (*.f64 x y))
2.0ms
x
2.0ms
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
2.0ms
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)

regimes6.0ms (0.2%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
2 → 2
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))
Calls

4 calls:

2.0ms
x
2.0ms
y
1.0ms
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
1.0ms
(+.f64 (*.f64 x x) (*.f64 x y))
Results
AccuracySegmentsBranch
83.6%3x
84.5%3y
83.3%2(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
83.3%2(+.f64 (*.f64 x x) (*.f64 x y))
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes10.0ms (0.3%)

Memory
-30.2MiB live, 8.8MiB 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:

6.0ms
x
1.0ms
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
1.0ms
y
1.0ms
(+.f64 (*.f64 x x) (*.f64 x y))
Results
AccuracySegmentsBranch
59.8%1x
59.8%1y
59.8%1(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
59.8%1(+.f64 (*.f64 x x) (*.f64 x y))
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0134924515645912e-54
1.162116715763321e-54
Compiler

Compiled 12 to 12 computations (0% saved)

simplify21.0ms (0.7%)

Memory
29.8MiB live, 29.8MiB allocated
Algorithm
egg-herbie
Rules
10×*-commutative-binary64-*.f64
+-commutative-binary64-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02160
12860
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
(if (<=.f64 (+.f64 (*.f64 x x) (*.f64 x y)) #s(literal 1897980245367405/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) (*.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)))
#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 (+.f64 (*.f64 x x) (*.f64 x y)) #s(literal 1897980245367405/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) (*.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)))
(if (<=.f64 (+.f64 (*.f64 x y) (*.f64 x x)) #s(literal 1897980245367405/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) (*.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)))
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))

soundness481.0ms (15.8%)

Memory
-18.2MiB live, 254.3MiB allocated
Rules
9 330×lower-fma.f64
9 330×lower-fma.f32
4 618×lower-fma.f64
4 618×lower-fma.f32
4 536×lower-/.f64
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 66 to 41 computations (37.9% saved)

preprocess47.0ms (1.5%)

Memory
18.4MiB live, 106.4MiB allocated
Compiler

Compiled 102 to 58 computations (43.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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