Examples.Basics.ProofTests:f4 from sbv-4.4

Time bar (total: 3.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×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 15 to 11 computations (26.7% saved)

sample787.0ms (22.5%)

Memory
32.9MiB live, 1 041.0MiB allocated
Samples
533.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 292.0ms
ival-mult: 213.0ms (72.9% of total)
ival-add: 66.0ms (22.6% of total)
ival-true: 5.0ms (1.7% of total)
exact: 5.0ms (1.7% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

explain143.0ms (4.1%)

Memory
-27.8MiB live, 141.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
140-0-(+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
100-0-(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
00-0-(*.f64 x #s(literal 2 binary64))
00-0-(*.f64 x x)
00-0-(*.f64 (*.f64 x #s(literal 2 binary64)) y)
00-0-y
00-0-#s(literal 2 binary64)
00-0-(*.f64 y y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))nan-rescue140
↳(*.f64 x x)overflow59
↳(*.f64 (*.f64 x #s(literal 2 binary64)) y)overflow37
+.f64(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))nan-rescue100
↳(+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))overflow68
↳(*.f64 x x)overflow59
↳(*.f64 (*.f64 x #s(literal 2 binary64)) y)overflow37
↳(*.f64 y y)overflow71
Confusion
Predicted +Predicted -
+170
-0239
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1700
-00239
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0239
110
27
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
48.0ms512×0valid
Compiler

Compiled 95 to 31 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 30.0ms (86.6% of total)
ival-add: 4.0ms (11.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess39.0ms (1.1%)

Memory
18.4MiB live, 55.1MiB allocated
Algorithm
1×egg-herbie
Rules
232×sub-neg
230×unsub-neg
190×distribute-lft-neg-in
136×cancel-sign-sub-inv
132×cancel-sign-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02371
17757
225055
363855
4121455
5150955
6153955
0913
01513
12311
24311
35111
0519
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
Outputs
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
Symmetry

(sort x y)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶93.3%
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
cost-diff0
(*.f64 x x)
cost-diff128
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
cost-diff448
(+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Rules
64×lower-fma.f64
64×lower-fma.f32
36×lower-*.f32
32×lower-+.f32
28×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0939
01539
12335
24335
35135
05132
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
(+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(*.f64 x x)
x
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
y
(*.f64 y y)
Outputs
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
(+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(*.f64 x x)
x
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 y (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
y
(*.f64 y y)

localize28.0ms (0.8%)

Memory
-29.4MiB live, 19.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0
(*.f64 x #s(literal 2 binary64))
accuracy1.796875
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
accuracy2.6015542433208236
(+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Samples
21.0ms256×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 12.0ms (82.1% of total)
ival-add: 2.0ms (13.7% 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
15.2MiB live, 15.2MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* 2 (/ x y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* 2 (/ x y)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ x (* 2 y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ x (* 2 y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ x (* 2 y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ x (* 2 y))) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ x (* 2 y))) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y 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 (* 2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y 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 (* 2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y 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 (* 2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify143.0ms (4.1%)

Memory
8.5MiB live, 118.1MiB allocated
Algorithm
1×egg-herbie
Rules
7 660×lower-fma.f64
7 660×lower-fma.f32
3 048×lower-*.f64
3 048×lower-*.f32
1 302×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056588
1166546
2470546
31334534
43275534
56426534
08157486
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(pow x 2)
(+ (* 2 (* x y)) (pow x 2))
(+ (* 2 (* x y)) (pow x 2))
(+ (* 2 (* x y)) (pow x 2))
(pow x 2)
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* x (+ x (* 2 y)))
(* x (+ x (* 2 y)))
(* x (+ x (* 2 y)))
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
(pow x 2)
(*.f64 x x)
(+ (* 2 (* x y)) (pow x 2))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(+ (* 2 (* x y)) (pow x 2))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(+ (* 2 (* x y)) (pow x 2))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(pow x 2)
(*.f64 x x)
(+ (* 2 (* x y)) (pow x 2))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(* y (+ (* 2 x) (/ (pow x 2) y)))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(* y (+ (* 2 x) (/ (pow x 2) y)))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* x (+ x (* 2 y)))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(* x (+ x (* 2 y)))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(* x (+ x (* 2 y)))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(pow y 2)
(*.f64 y y)
(+ (* 2 (* x y)) (pow y 2))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(+ (* x (+ x (* 2 y))) (pow y 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(+ (* x (+ x (* 2 y))) (pow y 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x 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))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x 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))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x 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))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)

rewrite228.0ms (6.5%)

Memory
12.3MiB live, 253.5MiB allocated
Rules
7 568×lower-fma.f64
7 568×lower-fma.f32
5 064×lower-*.f32
5 056×lower-*.f64
2 536×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0933
01533
15029
242029
3635729
0821926
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 210
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
(*.f64 x x)
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 y (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 y #s(literal 2 binary64) x) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (*.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (*.f64 y (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (*.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (*.f64 y (*.f64 #s(literal 2 binary64) x))) (-.f64 (*.f64 (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (*.f64 y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(*.f64 (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) x) (/.f64 (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x) (-.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(*.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) (/.f64 (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x) (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x)))
(*.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) (*.f64 (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x) (pow.f64 (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x) #s(literal -1 binary64))))
(*.f64 x (fma.f64 y #s(literal 2 binary64) x))
(pow.f64 (/.f64 (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 6 binary64))) (pow.f64 (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 x (*.f64 y #s(literal 2 binary64))))) (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) x) (-.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) x) (-.f64 x (*.f64 y #s(literal 2 binary64)))))) (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) x) (-.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) x) (-.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 x (*.f64 y #s(literal 2 binary64)))) (fma.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) x) (-.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) x) (-.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) x) (-.f64 x (*.f64 y #s(literal 2 binary64))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) x) (-.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))) (neg.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x)) (*.f64 (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (pow.f64 (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64))) (*.f64 (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 6 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 6 binary64))) (*.f64 (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x) (+.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (*.f64 (neg.f64 x) (-.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x))
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 y #s(literal 2 binary64) x)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 y (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 y #s(literal 2 binary64) x) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) x) (-.f64 x (*.f64 y #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) x) (-.f64 x (*.f64 y #s(literal 2 binary64))))))
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(fma.f64 #s(literal 2 binary64) (*.f64 y x) (fma.f64 y y (*.f64 x x)))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) x) (*.f64 y y))
(fma.f64 x (*.f64 y #s(literal 2 binary64)) (fma.f64 y y (*.f64 x x)))
(fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(-.f64 (fma.f64 y y (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) x) (-.f64 x (*.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))) (/.f64 (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 x (*.f64 y #s(literal 2 binary64)))) (-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) x) (-.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 y y)))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y (*.f64 #s(literal 2 binary64) x)))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)))))
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) y) (*.f64 x x))
(+.f64 (*.f64 y y) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(+.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) (*.f64 y y))
(+.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) (fma.f64 y y (*.f64 x x)))
(+.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(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 (*.f64 y x) #s(literal 2 binary64))
(*.f64 (*.f64 y #s(literal 2 binary64)) x)
(*.f64 y (*.f64 #s(literal 2 binary64) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))

eval35.0ms (1%)

Memory
-1.2MiB live, 72.3MiB allocated
Compiler

Compiled 7 504 to 646 computations (91.4% saved)

prune36.0ms (1%)

Memory
-1.9MiB live, 49.2MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3006306
Fresh000
Picked101
Done000
Total3016307
Accuracy
100.0%
Counts
307 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
▶100.0%
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
▶96.9%
(fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶57.2%
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
▶62.2%
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
▶55.7%
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
Compiler

Compiled 84 to 64 computations (23.8% saved)

simplify25.0ms (0.7%)

Memory
-29.2MiB live, 10.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 2 binary64) x y)
cost-diff0
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
cost-diff0
(fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
cost-diff0
(fma.f64 y #s(literal 2 binary64) x)
cost-diff0
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
cost-diff0
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
cost-diff0
(*.f64 y y)
cost-diff0
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal 2 binary64) x y)
cost-diff0
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
Rules
64×lower-fma.f32
56×lower-fma.f64
36×lower-*.f32
32×lower-+.f64
32×lower-+.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020116
030116
143104
257104
360104
060104
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(fma.f64 #s(literal 2 binary64) x y)
#s(literal 2 binary64)
x
y
(*.f64 x x)
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
(*.f64 y y)
y
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(fma.f64 y #s(literal 2 binary64) x)
y
#s(literal 2 binary64)
x
(fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
x
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(fma.f64 #s(literal 2 binary64) x y)
#s(literal 2 binary64)
y
Outputs
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(fma.f64 (fma.f64 x #s(literal 2 binary64) y) y (*.f64 x x))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 x #s(literal 2 binary64) y)
#s(literal 2 binary64)
x
y
(*.f64 x x)
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
(*.f64 y y)
y
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(fma.f64 y #s(literal 2 binary64) x)
y
#s(literal 2 binary64)
x
(fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 (fma.f64 x #s(literal 2 binary64) y) y (*.f64 x x))
x
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(*.f64 (fma.f64 x #s(literal 2 binary64) y) y)
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 x #s(literal 2 binary64) y)
#s(literal 2 binary64)
y

localize65.0ms (1.8%)

Memory
31.5MiB live, 69.1MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 #s(literal 2 binary64) x y)
accuracy0.00390625
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
accuracy2.007790480844482
(fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
accuracy0
(fma.f64 y #s(literal 2 binary64) x)
accuracy0.0078125
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
accuracy27.414846134912533
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
accuracy0
(*.f64 y y)
accuracy24.16216486877577
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
accuracy0
(*.f64 x x)
accuracy28.36463857836447
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
accuracy0
(fma.f64 #s(literal 2 binary64) x y)
accuracy0
(*.f64 x x)
accuracy0.01171875
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
Samples
54.0ms256×0valid
Compiler

Compiled 112 to 19 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 11.0ms (62.4% of total)
ival-add: 6.0ms (34% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series28.0ms (0.8%)

Memory
-7.9MiB live, 27.9MiB allocated
Counts
11 → 240
Calls
Call 1
Inputs
#s(alt (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) (patch (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) (patch (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #<representation binary64>) () ())
#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (patch (fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) x y) y) (patch (*.f64 (fma.f64 #s(literal 2 binary64) x y) y) #<representation binary64>) () ())
Outputs
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) (patch (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) (patch (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) (patch (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) (patch (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 y) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (+ y (* 2 x)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 2 binary64) x y) (patch (fma.f64 #s(literal 2 binary64) x y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) (patch (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) (patch (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) (patch (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) (patch (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (patch (fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (patch (fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (patch (fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (patch #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) (patch (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) (patch (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) (patch (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) (patch (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (patch (fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (patch (fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (patch (fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (patch (fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) x y) y) (patch (*.f64 (fma.f64 #s(literal 2 binary64) x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) x y) y) (patch (*.f64 (fma.f64 #s(literal 2 binary64) x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) x y) y) (patch (*.f64 (fma.f64 #s(literal 2 binary64) x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) x y) y) (patch (*.f64 (fma.f64 #s(literal 2 binary64) x y) y) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
14.0ms
y
@0
((+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) (* x x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* y 2) x) x) (+ (* y 2) x) (+ (* x x) (* (+ (* 2 x) y) y)) (* (+ (* 2 x) y) y))
2.0ms
x
@inf
((+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) (* x x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* y 2) x) x) (+ (* y 2) x) (+ (* x x) (* (+ (* 2 x) y) y)) (* (+ (* 2 x) y) y))
1.0ms
y
@-inf
((+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) (* x x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* y 2) x) x) (+ (* y 2) x) (+ (* x x) (* (+ (* 2 x) y) y)) (* (+ (* 2 x) y) y))
1.0ms
x
@-inf
((+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) (* x x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* y 2) x) x) (+ (* y 2) x) (+ (* x x) (* (+ (* 2 x) y) y)) (* (+ (* 2 x) y) y))
1.0ms
y
@inf
((+ (* (+ (* 2 x) y) y) (* x x)) (+ (* 2 x) y) (* x x) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* y 2) x) x) (+ (* y 2) x) (+ (* x x) (* (+ (* 2 x) y) y)) (* (+ (* 2 x) y) y))

simplify154.0ms (4.4%)

Memory
-0.2MiB live, 147.7MiB allocated
Algorithm
1×egg-herbie
Rules
8 438×lower-fma.f64
8 438×lower-fma.f32
2 840×lower-*.f64
2 840×lower-*.f32
1 688×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821602
12691536
27451536
322041536
446011536
575611536
080281314
Stop Event
1×iter limit
1×node limit
Counts
240 → 234
Calls
Call 1
Inputs
(pow x 2)
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(* 2 x)
(+ y (* 2 x))
(+ y (* 2 x))
(+ y (* 2 x))
(pow x 2)
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(pow x 2)
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow x 2)
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(pow x 2)
(+ (* 2 (* x y)) (pow x 2))
(+ (* 2 (* x y)) (pow x 2))
(+ (* 2 (* x y)) (pow x 2))
x
(+ x (* 2 y))
(+ x (* 2 y))
(+ x (* 2 y))
(pow x 2)
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(* 2 (* x y))
(* y (+ y (* 2 x)))
(* y (+ y (* 2 x)))
(* y (+ y (* 2 x)))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
y
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (* 2 (/ x y))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* 2 (* x y))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* 2 y)
(* y (+ 2 (/ x y)))
(* y (+ 2 (/ x y)))
(* y (+ 2 (/ x y)))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
y
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* 2 (* x y))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* 2 y)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
y
(+ y (* 2 x))
(+ y (* 2 x))
(+ y (* 2 x))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(* 2 (* x y))
(* x (+ x (* 2 y)))
(* x (+ x (* 2 y)))
(* x (+ x (* 2 y)))
(* 2 y)
(+ x (* 2 y))
(+ x (* 2 y))
(+ x (* 2 y))
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* 2 (* x y)) (pow y 2))
(+ (* 2 (* x y)) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* 2 x)
(* x (+ 2 (/ y x)))
(* x (+ 2 (/ y x)))
(* x (+ 2 (/ y x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
x
(* x (+ 1 (* 2 (/ y x))))
(* x (+ 1 (* 2 (/ y x))))
(* x (+ 1 (* 2 (/ y x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* 2 (* x y))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* 2 x)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
x
(* -1 (* x (- (* -2 (/ y x)) 1)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* 2 (* x y))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
Outputs
(pow x 2)
(*.f64 x x)
(+ (* 2 (* x y)) (pow x 2))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
(pow x 2)
(*.f64 x x)
(+ (* 2 (* x y)) (pow x 2))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
(pow x 2)
(*.f64 x x)
(+ (* 2 (* x y)) (pow x 2))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow x 2)
(*.f64 x x)
(+ (* 2 (* x y)) (pow x 2))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(+ (* y (+ y (* 2 x))) (pow x 2))
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rewrite313.0ms (8.9%)

Memory
-30.3MiB live, 470.7MiB allocated
Rules
17 162×lower-fma.f32
17 154×lower-fma.f64
6 328×lower-*.f32
6 320×lower-*.f64
2 944×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02098
03098
111086
290686
0845786
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 496
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(fma.f64 #s(literal 2 binary64) x y)
(*.f64 x x)
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
(*.f64 y y)
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(fma.f64 y #s(literal 2 binary64) x)
(fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
Outputs
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) y) y (*.f64 x x)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y)) (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (*.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) y) y (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) (fma.f64 x x (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y)))))))
(*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y)) (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64))) (*.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) y) y (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y)) (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y)) (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64))) (*.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) y) y (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) y) y (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y)) (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) y) y (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y)) (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) y) y (*.f64 x x)) (*.f64 (fma.f64 x x (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y))) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) y) y (*.f64 x x)) (*.f64 (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))) (pow.f64 (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) y) y (*.f64 x x)) (*.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y)) (pow.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y)) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) y) y (*.f64 x x))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64)) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))) (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64)) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))))) (+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64)) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y)))) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))) (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))) (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y)))) (/.f64 (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y))))) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y)))))) (+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y))))))
(/.f64 (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y)))) (-.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 x x (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64)) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64)) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))) (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64)) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64)) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))) (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))) (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y)))) (/.f64 (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y)))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y)))) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x)) (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 x x (*.f64 y y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y y) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y)) (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))) (pow.f64 x #s(literal 4 binary64))))))
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(fma.f64 y (*.f64 x #s(literal 2 binary64)) (fma.f64 x x (*.f64 y y)))
(fma.f64 y (*.f64 x #s(literal 2 binary64)) (fma.f64 y y (*.f64 x x)))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) (*.f64 x x))
(fma.f64 y y (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(fma.f64 x (*.f64 y #s(literal 2 binary64)) (fma.f64 x x (*.f64 y y)))
(fma.f64 x (*.f64 y #s(literal 2 binary64)) (fma.f64 y y (*.f64 x x)))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) x) (*.f64 y y))
(fma.f64 x x (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (fma.f64 x x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (fma.f64 y y (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) (fma.f64 x x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) (fma.f64 y y (*.f64 x x)))
(-.f64 (fma.f64 y y (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))) (/.f64 (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64)) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))) (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))))) (-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))))) (*.f64 y y)))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y)))))
(+.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 y x) #s(literal 2 binary64)))
(+.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 y x) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64)) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))) (neg.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y))))))
(+.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) y) (*.f64 x x))
(+.f64 (*.f64 y y) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(+.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) x) (*.f64 y y))
(+.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 x x (*.f64 y y)))
(+.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 x x)))
(+.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 y y)) y) (pow.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) y) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (*.f64 y (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 y y))) (pow.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) y) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) y (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y))))
(*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 y y) (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))))))))
(*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 y y)) (*.f64 (pow.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) y) #s(literal -1 binary64)) y))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) y))
(*.f64 (fma.f64 x #s(literal 2 binary64) y) y)
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 y y)) y)) (neg.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) y)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 y (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 y y)))) (neg.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) y (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 y y) (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 y y)) y) (-.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 y (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 y y))) (-.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (fma.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) y (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) y) (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 y y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) y) (*.f64 y (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))))) (fma.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) y (pow.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 y y) (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64)))))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 y y) (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64)))))))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 (*.f64 y x) #s(literal 2 binary64)))
(fma.f64 (*.f64 y x) #s(literal 2 binary64) (*.f64 y y))
(fma.f64 (*.f64 x y) #s(literal 2 binary64) (*.f64 y y))
(fma.f64 (*.f64 y #s(literal 2 binary64)) x (*.f64 y y))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (*.f64 y y))
(fma.f64 y (*.f64 x #s(literal 2 binary64)) (*.f64 y y))
(fma.f64 y y (*.f64 (*.f64 y x) #s(literal 2 binary64)))
(fma.f64 x (*.f64 y #s(literal 2 binary64)) (*.f64 y y))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (*.f64 y y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) (*.f64 y y))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y))))
(+.f64 (*.f64 y y) (*.f64 (*.f64 y x) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))

eval150.0ms (4.3%)

Memory
32.2MiB live, 182.4MiB allocated
Compiler

Compiled 16 567 to 1 129 computations (93.2% saved)

prune96.0ms (2.8%)

Memory
-23.2MiB live, 136.9MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New8061807
Fresh011
Picked055
Done000
Total8067813
Accuracy
100.0%
Counts
813 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
✓100.0%
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
✓96.9%
(fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶54.0%
(fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))
✓57.2%
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
✓62.2%
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
✓55.7%
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
Compiler

Compiled 51 to 39 computations (23.5% saved)

simplify5.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 y #s(literal 2 binary64) x)
cost-diff0
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x))
cost-diff0
(*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)
cost-diff0
(fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))
Rules
70×lower-fma.f32
64×lower-fma.f64
40×lower-*.f32
36×lower-+.f64
36×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01259
02159
12959
23559
35559
46059
56159
06156
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))
x
(*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)
#s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
y
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
(fma.f64 y #s(literal 2 binary64) x)
y
#s(literal 2 binary64)
x
(*.f64 y y)
Outputs
(fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))
(fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x))
x
(*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)
#s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
y
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
(fma.f64 y #s(literal 2 binary64) x)
y
#s(literal 2 binary64)
x
(*.f64 y y)

localize54.0ms (1.5%)

Memory
-1.6MiB live, 46.9MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 y #s(literal 2 binary64) x)
accuracy0
(*.f64 y y)
accuracy0.01953125
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
accuracy0
(*.f64 #s(literal 2 binary64) x)
accuracy0.00390625
(*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)
accuracy2.007790480844482
(fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))
accuracy33.85071045614961
#s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x))
Samples
46.0ms256×0valid
Compiler

Compiled 53 to 15 computations (71.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 34.0ms (89.2% of total)
ival-add: 4.0ms (10.5% 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
12.1MiB live, 12.1MiB allocated
Counts
7 → 144
Calls
Call 1
Inputs
#s(alt (fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) (patch (fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) (patch (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)) (patch (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)) #<representation binary64>) () ())
#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
Outputs
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) (patch (fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) (patch (fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) #<representation binary64>) () ())) ())
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#s(alt (* 2 y) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) (patch (fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) (patch (fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) (patch (fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) (patch (fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) (patch (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 y) (/ (pow y 2) x))) (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) (patch (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 y) (/ (pow y 2) x))) (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) (patch (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 y) (/ (pow y 2) x))) (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) (patch (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ y x))) (taylor inf x) (#s(alt #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ y x))) (taylor inf x) (#s(alt #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ y x))) (taylor inf x) (#s(alt #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (* 2 x) y) (*.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 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)) (patch (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)) (patch (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)) (patch (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)) (patch (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) (patch (fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) (patch (fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) (patch (fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) (patch (fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) (patch (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) (patch (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) (patch (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) (patch (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ (* 2 x) y) (*.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 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)) (patch (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)) (patch (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)) (patch (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)) (patch (fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 2 binary64) x) (patch (fma.f64 y #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify126.0ms (3.6%)

Memory
19.1MiB live, 125.4MiB allocated
Algorithm
1×egg-herbie
Rules
8 474×lower-fma.f64
8 474×lower-fma.f32
2 914×lower-*.f64
2 914×lower-*.f32
1 522×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078822
1248810
2660810
32045810
44606810
57415810
08021696
Stop Event
1×iter limit
1×node limit
Counts
144 → 138
Calls
Call 1
Inputs
(pow x 2)
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(* 2 (* x y))
(* y (+ y (* 2 x)))
(* y (+ y (* 2 x)))
(* y (+ y (* 2 x)))
(* 2 x)
(+ y (* 2 x))
(+ y (* 2 x))
(+ y (* 2 x))
(pow x 2)
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
x
(+ x (* 2 y))
(+ x (* 2 y))
(+ x (* 2 y))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
y
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (* 2 (/ x y))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* 2 y)
(* y (+ 2 (/ x y)))
(* y (+ 2 (/ x y)))
(* y (+ 2 (/ x y)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
y
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* 2 y)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* 2 (* x y)) (pow y 2))
(+ (* 2 (* x y)) (pow y 2))
y
(+ y (* 2 x))
(+ y (* 2 x))
(+ y (* 2 x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(* 2 y)
(+ x (* 2 y))
(+ x (* 2 y))
(+ x (* 2 y))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* 2 (* x y))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(* 2 x)
(* x (+ 2 (/ y x)))
(* x (+ 2 (/ y x)))
(* x (+ 2 (/ y x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
x
(* x (+ 1 (* 2 (/ y x))))
(* x (+ 1 (* 2 (/ y x))))
(* x (+ 1 (* 2 (/ y x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* 2 (* x y))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(* 2 x)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
x
(* -1 (* x (- (* -2 (/ y x)) 1)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
Outputs
(pow x 2)
(*.f64 x x)
(+ (* 2 (* x y)) (pow x 2))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* y (+ y (* 2 x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(* y (+ y (* 2 x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(* y (+ y (* 2 x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
(pow x 2)
(*.f64 x x)
(+ (* 2 (* x y)) (pow x 2))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
x
(+ x (* 2 y))
(fma.f64 y #s(literal 2 binary64) x)
(+ x (* 2 y))
(fma.f64 y #s(literal 2 binary64) x)
(+ x (* 2 y))
(fma.f64 y #s(literal 2 binary64) x)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
y
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 #s(literal 2 binary64) x y)
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 #s(literal 2 binary64) x y)
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 #s(literal 2 binary64) x y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (/ x y)))
(fma.f64 y #s(literal 2 binary64) x)
(* y (+ 2 (/ x y)))
(fma.f64 y #s(literal 2 binary64) x)
(* y (+ 2 (/ x y)))
(fma.f64 y #s(literal 2 binary64) x)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
y
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 #s(literal 2 binary64) x y)
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 #s(literal 2 binary64) x y)
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 #s(literal 2 binary64) x y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 y #s(literal 2 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 y #s(literal 2 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 y #s(literal 2 binary64) x)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(+ (* 2 (* x y)) (pow y 2))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(+ (* x (+ x (* 2 y))) (pow y 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(+ (* x (+ x (* 2 y))) (pow y 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(pow y 2)
(*.f64 y y)
(+ (* 2 (* x y)) (pow y 2))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(+ (* 2 (* x y)) (pow y 2))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(+ (* 2 (* x y)) (pow y 2))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
y
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(pow y 2)
(*.f64 y y)
(+ (* 2 (* x y)) (pow y 2))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(+ (* x (+ x (* 2 y))) (pow y 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(+ (* x (+ x (* 2 y))) (pow y 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ x (* 2 y))
(fma.f64 y #s(literal 2 binary64) x)
(+ x (* 2 y))
(fma.f64 y #s(literal 2 binary64) x)
(+ x (* 2 y))
(fma.f64 y #s(literal 2 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(* x (+ (* 2 y) (/ (pow y 2) x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(* x (+ (* 2 y) (/ (pow y 2) x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (/ y x)))
(fma.f64 #s(literal 2 binary64) x y)
(* x (+ 2 (/ y x)))
(fma.f64 #s(literal 2 binary64) x y)
(* x (+ 2 (/ y x)))
(fma.f64 #s(literal 2 binary64) x y)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
x
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 y #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 y #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 y #s(literal 2 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 #s(literal 2 binary64) x y)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 #s(literal 2 binary64) x y)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 #s(literal 2 binary64) x y)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
x
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 y #s(literal 2 binary64) x)
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 y #s(literal 2 binary64) x)
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 y #s(literal 2 binary64) x)

rewrite217.0ms (6.2%)

Memory
4.8MiB live, 285.3MiB allocated
Rules
10 306×lower-fma.f32
10 300×lower-fma.f64
5 728×lower-*.f32
5 722×lower-*.f64
2 804×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01253
02153
17853
261753
3679053
0839750
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 247
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))
(*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)
#s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
(fma.f64 y #s(literal 2 binary64) x)
(*.f64 y y)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 (neg.f64 x) x)) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 (neg.f64 x) x)) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 (neg.f64 x) x)) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 (neg.f64 x) x)) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) (-.f64 (*.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 (neg.f64 x) x)) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64)))) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x)))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 y) #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 (neg.f64 x) x)) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 y) #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 (neg.f64 x) x)) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 y) #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 (neg.f64 x) x)) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x)) (fma.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 (neg.f64 x) x)) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 (neg.f64 x) x)) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x)) (pow.f64 (fma.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 (neg.f64 x) x)) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 (neg.f64 x) x)) (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x)) (/.f64 (fma.f64 (neg.f64 y) #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (fma.f64 (neg.f64 y) #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))))
(*.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x)) (*.f64 (fma.f64 (neg.f64 y) #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (pow.f64 (fma.f64 (neg.f64 y) #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 (neg.f64 x) x)) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))
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(/.f64 (*.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x)) #s(literal -1 binary64))) (-.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (-.f64 (*.f64 y #s(literal 2 binary64)) x))) (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (-.f64 (*.f64 y #s(literal 2 binary64)) x)))) (*.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))) (*.f64 x (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))))) (fma.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (*.f64 x (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (-.f64 (*.f64 y #s(literal 2 binary64)) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (-.f64 (*.f64 y #s(literal 2 binary64)) x))) (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (-.f64 (*.f64 y #s(literal 2 binary64)) x))) (fma.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))) (*.f64 x (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (-.f64 (*.f64 y #s(literal 2 binary64)) x))) (*.f64 x (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))))))
(/.f64 (neg.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y y)))) (neg.f64 (-.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (neg.f64 (neg.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 y #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x))))
(/.f64 (*.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x))))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal 4 binary64) (*.f64 y y))) #s(literal 1 binary64)) (-.f64 (*.f64 y #s(literal 2 binary64)) x))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x) (-.f64 (*.f64 y #s(literal 2 binary64)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))))
(/.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (-.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x)) (-.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x)) (-.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (neg.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal 4 binary64) (*.f64 y y))) (-.f64 (*.f64 y #s(literal 2 binary64)) x))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (-.f64 (*.f64 y #s(literal 2 binary64)) x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal 4 binary64) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x))))
(neg.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) x)))))
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))))
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (fma.f64 y #s(literal 2 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))))
(fma.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) y) (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 y y) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (pow.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))))
(fma.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))))
(fma.f64 y (/.f64 (*.f64 #s(literal 4 binary64) y) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))))
(fma.f64 y #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))))
(fma.f64 #s(literal 2 binary64) y x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 x (*.f64 y #s(literal 2 binary64)))))
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (-.f64 (*.f64 y #s(literal 2 binary64)) x))) (*.f64 x (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (-.f64 (*.f64 y #s(literal 2 binary64)) x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))))
(+.f64 (*.f64 y #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval111.0ms (3.2%)

Memory
-23.2MiB live, 99.9MiB allocated
Compiler

Compiled 8 895 to 747 computations (91.6% saved)

prune73.0ms (2.1%)

Memory
23.8MiB live, 98.7MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New3850385
Fresh000
Picked022
Done055
Total3857392
Accuracy
100.0%
Counts
392 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
✓100.0%
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
✓96.9%
(fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓54.0%
(fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))
✓57.2%
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
✓62.2%
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
✓55.7%
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
Compiler

Compiled 115 to 62 computations (46.1% saved)

regimes14.0ms (0.4%)

Memory
-20.7MiB live, 23.2MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))
(fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
Outputs
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
Calls

3 calls:

8.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes8.0ms (0.2%)

Memory
19.2MiB live, 19.2MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))
(fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
Outputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
(fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
Calls

3 calls:

2.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
98.9%2y
98.9%2(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes8.0ms (0.2%)

Memory
-21.8MiB live, 16.4MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
(fma.f64 x x (*.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))
Outputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
Calls

3 calls:

4.0ms
x
2.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
2.0ms
y
Results
AccuracySegmentsBranch
88.8%2y
66.1%3(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
88.9%2x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes4.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
x
1.0ms
y
1.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
Results
AccuracySegmentsBranch
55.7%1(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
55.7%1y
55.7%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch37.0ms (1.1%)

Memory
-14.5MiB live, 22.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
35.0ms
-6.6470022793521e+240
-4.408870222794654e+238
Samples
31.0ms112×0valid
Compiler

Compiled 107 to 98 computations (8.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-add: 26.0ms (89.7% of total)
ival-mult: 3.0ms (10.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.4%)

Memory
22.8MiB live, 22.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
-4.9276330069809e-48
-4.946390220555924e-56
Samples
8.0ms144×0valid
Compiler

Compiled 88 to 104 computations (-18.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (64.1% of total)
ival-add: 1.0ms (21.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify30.0ms (0.9%)

Memory
8.5MiB live, 46.4MiB allocated
Algorithm
1×egg-herbie
Rules
2×*-commutative-binary64-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02394
12494
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(if (<=.f64 x #s(literal -44999999999999997851456439216870471507985507323561350111129288184360852159404440348465840090264684241970482607826469293629509281880574944807000113058139173661648900500994666669803762972725227659767214457613893722648732145600691293602709504 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) (fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(if (<=.f64 x #s(literal -822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
Outputs
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(if (<=.f64 x #s(literal -44999999999999997851456439216870471507985507323561350111129288184360852159404440348465840090264684241970482607826469293629509281880574944807000113058139173661648900500994666669803762972725227659767214457613893722648732145600691293602709504 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) (fma.f64 x x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(if (<=.f64 x #s(literal -822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

soundness438.0ms (12.5%)

Memory
-46.2MiB live, 252.1MiB allocated
Rules
7 660×lower-fma.f64
7 660×lower-fma.f32
7 568×lower-fma.f64
7 568×lower-fma.f32
5 064×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056588
1166546
2470546
31334534
43275534
56426534
08157486
0933
01533
15029
242029
3635729
0821926
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 98 to 52 computations (46.9% saved)

preprocess66.0ms (1.9%)

Memory
7.3MiB live, 163.4MiB allocated
Compiler

Compiled 170 to 92 computations (45.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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