Linear.Matrix:fromQuaternion from linear-1.19.1.3, B

Time bar (total: 3.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.3s (39.6%)

Memory
-9.5MiB live, 938.3MiB allocated
Samples
748.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 387.0ms
ival-mult: 259.0ms (66.9% of total)
ival-add: 114.0ms (29.4% of total)
ival-true: 6.0ms (1.5% of total)
exact: 5.0ms (1.3% of total)
ival-assert: 4.0ms (1% of total)
Bogosity

explain148.0ms (4.6%)

Memory
22.8MiB live, 148.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
210-0-(+.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-rescue210
(*.f64 x x)overflow64
(*.f64 x y)overflow35
Confusion
Predicted +Predicted -
+210
-0235
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2100
-00235
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0235
121
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
66.0ms512×0valid
Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 49.0ms (93.5% of total)
ival-add: 2.0ms (3.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess44.0ms (1.4%)

Memory
-1.6MiB live, 71.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.8%
(*.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
9.1MiB live, 9.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize27.0ms (0.8%)

Memory
-13.8MiB live, 65.6MiB 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)))
accuracy4.5429543008114415
(+.f64 (*.f64 x x) (*.f64 x y))
Samples
22.0ms256×0valid
Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 8.0ms (87.3% of total)
ival-add: 1.0ms (10.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.3%)

Memory
-13.7MiB live, 24.2MiB 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
@inf
((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y))

simplify294.0ms (9.1%)

Memory
6.8MiB live, 130.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite185.0ms (5.7%)

Memory
6.5MiB live, 311.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0722
01118
13618
225218
3228418
0863618
Stop Event
iter limit
node limit
iter limit
Counts
4 → 269
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
(*.f64 x x)
(*.f64 x y)
Outputs
#<batchref>
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eval87.0ms (2.7%)

Memory
11.0MiB live, 84.2MiB allocated
Compiler

Compiled 7 799 to 931 computations (88.1% saved)

prune7.0ms (0.2%)

Memory
25.0MiB live, 25.0MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3503353
Fresh000
Picked101
Done000
Total3513354
Accuracy
100.0%
Counts
354 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
54.8%
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
57.5%
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify4.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 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 y x)
cost-diff0
#s(approx (+ (* x x) (* x y)) (*.f64 y x))
cost-diff0
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
cost-diff0
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01571
02165
14065
25965
36565
06565
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 (+.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 #s(literal 2 binary64)) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.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 (+.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)

localize52.0ms (1.6%)

Memory
-11.1MiB live, 93.6MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y x)
accuracy0
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
accuracy0
(*.f64 #s(literal 2 binary64) x)
accuracy0
(*.f64 y x)
accuracy0.015625
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
accuracy28.928473031236535
#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)
accuracy27.221775406354492
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Samples
37.0ms256×0valid
Compiler

Compiled 59 to 14 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 18.0ms (67.6% of total)
ival-add: 9.0ms (33.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.3%)

Memory
24.0MiB live, 24.0MiB allocated
Counts
8 → 168
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 (*.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
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#s(alt (* x (+ (* 2 x) (* 2 y))) (taylor 0 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 y (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 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 (* 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 (* 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 (* 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 (* 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) (* 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) (* 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) (* 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) (* 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) (* 2 x)) (+ y x))

simplify224.0ms (6.9%)

Memory
-31.2MiB live, 275.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052804
1178804
2440804
31223804
42327804
53877804
65563804
76619804
08036804
Stop Event
iter limit
node limit
Counts
168 → 162
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)
(* 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)
(* 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)
(* 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)
(* 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)
(* 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)
(* 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)
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(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
x
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y
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(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
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(*.f64 (+.f64 y x) x)
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(*.f64 (*.f64 y x) #s(literal 2 binary64))
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(*.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)
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(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
y
(+ x y)
(+.f64 y x)
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(* 2 (pow x 2))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
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(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
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(*.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)
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(*.f64 (*.f64 x #s(literal 2 binary64)) x)
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(*.f64 x #s(literal 2 binary64))
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(*.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)
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(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
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(*.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)
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(*.f64 (+.f64 y x) x)
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(*.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)
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(* 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)
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(* 2 (pow x 2))
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(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)
(pow x 2)
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(*.f64 (+.f64 y x) x)
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(*.f64 (+.f64 y x) x)
(* (pow x 2) (+ 1 (/ y x)))
(*.f64 (+.f64 y x) x)
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(*.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)))
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rewrite157.0ms (4.8%)

Memory
9.4MiB live, 236.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01560
02154
16554
236754
3339954
0887054
Stop Event
iter limit
node limit
iter limit
Counts
8 → 234
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)
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
(+.f64 y x)
Outputs
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eval45.0ms (1.4%)

Memory
5.6MiB live, 89.8MiB allocated
Compiler

Compiled 6 381 to 733 computations (88.5% saved)

prune17.0ms (0.5%)

Memory
-32.8MiB live, 41.7MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New4100410
Fresh000
Picked033
Done000
Total4103413
Accuracy
100.0%
Counts
413 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
54.8%
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
57.5%
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Compiler

Compiled 47 to 33 computations (29.8% saved)

regimes9.0ms (0.3%)

Memory
22.4MiB live, 22.4MiB allocated
Counts
4 → 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) (+.f64 (*.f64 x x) (*.f64 x y)))
Outputs
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
Calls

4 calls:

2.0ms
x
2.0ms
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
2.0ms
(+.f64 (*.f64 x x) (*.f64 x y))
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)

regimes41.0ms (1.3%)

Memory
-19.2MiB live, 45.9MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
Outputs
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))
Calls

4 calls:

2.0ms
x
2.0ms
y
2.0ms
(+.f64 (*.f64 x x) (*.f64 x y))
2.0ms
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
Results
AccuracySegmentsBranch
80.0%3x
83.8%3y
78.4%2(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
78.4%2(+.f64 (*.f64 x x) (*.f64 x y))
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes7.0ms (0.2%)

Memory
-24.6MiB live, 12.8MiB 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:

3.0ms
x
1.0ms
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
57.5%1x
57.5%1(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
57.5%1(+.f64 (*.f64 x x) (*.f64 x y))
57.5%1y
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch18.0ms (0.6%)

Memory
35.5MiB live, 35.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
524673158297.9558
2418362200455.524
8.0ms
-1.618329187337308e+31
-2.6846538664148634e+30
Samples
9.0ms192×0valid
Compiler

Compiled 156 to 180 computations (-15.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (81.7% of total)
ival-add: 1.0ms (20.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify51.0ms (1.6%)

Memory
-28.6MiB live, 46.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02171
12771
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
(if (<=.f64 y #s(literal -4699999999999999896425253044224 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (if (<=.f64 y #s(literal 1120000000000 binary64)) #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))))
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Outputs
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y))
(if (<=.f64 y #s(literal -4699999999999999896425253044224 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (if (<=.f64 y #s(literal 1120000000000 binary64)) #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x)))))
(if (<=.f64 y #s(literal -4699999999999999896425253044224 binary64)) (*.f64 #s(approx (+ (* x x) (* x y)) (*.f64 x y)) #s(literal 2 binary64)) (if (<=.f64 y #s(literal 1120000000000 binary64)) #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (*.f64 #s(approx (+ (* x x) (* x y)) (*.f64 x y)) #s(literal 2 binary64))))
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))

soundness468.0ms (14.4%)

Memory
33.9MiB live, 309.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 70 to 42 computations (40% saved)

preprocess45.0ms (1.4%)

Memory
-8.8MiB live, 72.5MiB allocated
Compiler

Compiled 110 to 60 computations (45.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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