Linear.Quaternion:$c/ from linear-1.19.1.3, E

Time bar (total: 6.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 17 to 9 computations (47.1% saved)

sample714.0ms (10.5%)

Memory
2.1MiB live, 1 030.9MiB allocated
Samples
467.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 260.0ms
ival-mult: 148.0ms (56.9% of total)
ival-add: 103.0ms (39.6% of total)
ival-true: 5.0ms (1.9% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

explain134.0ms (2%)

Memory
11.7MiB live, 203.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-y
00-0-(*.f64 y y)
00-0-(*.f64 x x)
00-0-(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
55.0ms512×0valid
Compiler

Compiled 101 to 25 computations (75.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-add: 35.0ms (82.1% of total)
ival-mult: 7.0ms (16.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess54.0ms (0.8%)

Memory
9.8MiB live, 48.0MiB allocated
Algorithm
egg-herbie
Rules
188×unsub-neg
188×sub-neg
170×cancel-sign-sub
142×distribute-lft-neg-in
130×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01977
16467
217147
351745
4111745
5132245
6133245
0715
01215
11813
2289
3409
4489
5519
0517
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Outputs
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(+.f64 (hypot.f64 y y) (hypot.f64 y x))
Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 7 computations (53.3% saved)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Compiler

Compiled 15 to 7 computations (53.3% saved)

simplify5.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-5632
(+.f64 (*.f64 x x) (*.f64 y y))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x x)
cost-diff128
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
Rules
52×lower-fma.f64
52×lower-fma.f32
36×lower-+.f32
30×lower-+.f64
28×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0741
01241
11837
22833
34033
44833
55133
05124
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
Outputs
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(+.f64 (hypot.f64 y y) (hypot.f64 y x))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(fma.f64 y y (hypot.f64 y x))
(+.f64 (*.f64 x x) (*.f64 y y))
(hypot.f64 y x)
(*.f64 x x)
x
(*.f64 y y)
y

localize55.0ms (0.8%)

Memory
-41.8MiB live, 23.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.0078125
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
accuracy0.0078125
(+.f64 (*.f64 x x) (*.f64 y y))
accuracy0.078125
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Samples
49.0ms256×0valid
Compiler

Compiled 43 to 9 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 3.0ms (46.7% of total)
ival-mult: 3.0ms (46.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())
#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())
#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())
Outputs
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 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 (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y 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 (pow y 2) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y 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 (pow x 2) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (*.f64 x x) (*.f64 y 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 (pow x 2) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 y y)) (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)) #<representation:binary64>) () ())) ())
Calls

6 calls:

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

simplify222.0ms (3.3%)

Memory
-7.7MiB live, 147.7MiB allocated
Algorithm
egg-herbie
Rules
10 540×lower-fma.f64
10 540×lower-fma.f32
6 708×lower-*.f64
6 708×lower-*.f32
1 856×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030588
186588
2215588
3851588
42002588
52639588
64172588
75648588
86631588
97910588
08031480
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(pow x 2)
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (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 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (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 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow y 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
Outputs
(pow x 2)
(*.f64 x x)
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x 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 x 2)
(*.f64 x x)
(+ (pow x 2) (pow y 2))
(hypot.f64 y x)
(+ (pow x 2) (pow y 2))
(hypot.f64 y x)
(+ (pow x 2) (pow y 2))
(hypot.f64 y x)
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x 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 (/ (pow x 2) (pow y 2))))
(hypot.f64 y x)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(hypot.f64 y x)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(hypot.f64 y x)
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x 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 (/ (pow x 2) (pow y 2))))
(hypot.f64 y x)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(hypot.f64 y x)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(hypot.f64 y x)
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.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)
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(hypot.f64 y x)
(+ (pow x 2) (pow y 2))
(hypot.f64 y x)
(+ (pow x 2) (pow y 2))
(hypot.f64 y x)
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.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)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(hypot.f64 y x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(hypot.f64 y x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(hypot.f64 y x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.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)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(hypot.f64 y x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(hypot.f64 y x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(hypot.f64 y x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))

rewrite273.0ms (4%)

Memory
25.3MiB live, 217.5MiB allocated
Rules
9 354×lower-fma.f64
9 354×lower-fma.f32
4 470×lower-*.f32
4 466×lower-*.f64
3 310×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0739
01239
15435
251729
3759229
0819921
Stop Event
iter limit
node limit
iter limit
Counts
5 → 353
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
(+.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) (*.f64 y y) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 3/2 binary64))) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 4 binary64)) (pow.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 6 binary64)))) (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) (pow.f64 (hypot.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 (fma.f64 (hypot.f64 y x) (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x))
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (hypot.f64 y x) (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (hypot.f64 y x) (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) (fma.f64 (hypot.f64 y x) (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (fma.f64 (hypot.f64 y x) (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) (pow.f64 (fma.f64 (hypot.f64 y x) (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (hypot.f64 y x) (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))) (hypot.f64 (hypot.f64 y x) (*.f64 y y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (hypot.f64 (hypot.f64 y x) (*.f64 y y)) (pow.f64 (hypot.f64 y x) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (fma.f64 (hypot.f64 y x) (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (hypot.f64 y x) (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 3 binary64))) (pow.f64 (hypot.f64 y x) #s(literal 6 binary64))))
(/.f64 (*.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (fma.f64 (hypot.f64 y x) (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))))) (+.f64 (/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (neg.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (hypot.f64 y x) (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (hypot.f64 (hypot.f64 y x) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (hypot.f64 (hypot.f64 y x) (*.f64 y y)) (pow.f64 (hypot.f64 y x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64))) (*.f64 (fma.f64 (hypot.f64 y x) (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x x)))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 9 binary64))) (*.f64 (fma.f64 (hypot.f64 y x) (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 3 binary64))) (pow.f64 (hypot.f64 y x) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 (hypot.f64 y x) (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 3/2 binary64))) (fma.f64 (hypot.f64 y x) (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (neg.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x)))
(fma.f64 (/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) (*.f64 y y) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))))
(fma.f64 (/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (hypot.f64 y x) y) y (pow.f64 x #s(literal 4 binary64))) (*.f64 y y))
(fma.f64 (/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 y y))
(fma.f64 (/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (hypot.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (*.f64 y y))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (hypot.f64 y x) (*.f64 y y))
(fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 y y) (*.f64 x x))
(fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) y) (*.f64 #s(literal 2 binary64) y) (*.f64 x x))
(fma.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (/.f64 (hypot.f64 y x) (+.f64 y x)) (+.f64 y x) (*.f64 y y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (hypot.f64 y x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
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(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (*.f64 y y))
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y))
(fma.f64 (pow.f64 (fma.f64 (hypot.f64 y x) (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 3/2 binary64))) (*.f64 y y))
(fma.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) (*.f64 y y))
(fma.f64 #s(literal 1 binary64) (hypot.f64 y x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))) (hypot.f64 y x))
(fma.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) (*.f64 y y))
(fma.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (hypot.f64 y x) (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 y y))
(fma.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)) (hypot.f64 y x))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (hypot.f64 y x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64)) (*.f64 y y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (hypot.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (hypot.f64 y x)))))
(fma.f64 (fma.f64 (hypot.f64 y x) (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) (fma.f64 (hypot.f64 y x) (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
(fma.f64 (fma.f64 (hypot.f64 y x) (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) (pow.f64 (fma.f64 (hypot.f64 y x) (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 y y))
(fma.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (hypot.f64 y x) (fma.f64 x x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 y y))
(fma.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (hypot.f64 y x) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (hypot.f64 y x) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (hypot.f64 y x))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (hypot.f64 y x))
(fma.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y y))
(fma.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) (/.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) (+.f64 #s(literal 0 binary64) (hypot.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (hypot.f64 y x)))))
(fma.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))) (*.f64 y y))
(fma.f64 (hypot.f64 y x) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (hypot.f64 y x) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (*.f64 y y) (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y)) (hypot.f64 y x))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (hypot.f64 y x))
(fma.f64 y (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (hypot.f64 y x))
(fma.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) y)) (*.f64 x x))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
(fma.f64 y (*.f64 #s(literal 2 binary64) y) (hypot.f64 y x))
(fma.f64 y y (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x))
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(-.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))
(-.f64 (fma.f64 y y (/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (-.f64 (hypot.f64 y x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (hypot.f64 y x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (hypot.f64 y x))) (/.f64 (pow.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) #s(literal 2 binary64)) (neg.f64 (hypot.f64 y x))))
(-.f64 (/.f64 (pow.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (hypot.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (hypot.f64 y x))))
(-.f64 (/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) (*.f64 x x))
(+.f64 (/.f64 (pow.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (hypot.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (hypot.f64 y x)))))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (hypot.f64 y x))
(+.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) (*.f64 y y))
(+.f64 (hypot.f64 y x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (*.f64 y y) (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x))
(+.f64 (*.f64 x x) (*.f64 #s(literal 3 binary64) (*.f64 y y)))

eval92.0ms (1.3%)

Memory
11.2MiB live, 84.4MiB allocated
Compiler

Compiled 10 745 to 1 126 computations (89.5% saved)

prune39.0ms (0.6%)

Memory
-12.5MiB live, 32.4MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4787485
Fresh000
Picked101
Done000
Total4797486
Accuracy
100.0%
Counts
486 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
99.9%
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
99.9%
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
42.6%
(+.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) (*.f64 y y)) (*.f64 y y))
77.8%
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y))
58.0%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
55.3%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Compiler

Compiled 156 to 98 computations (37.2% saved)

simplify33.0ms (0.5%)

Memory
-30.1MiB live, 8.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff-12096
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
cost-diff128
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 y y))
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
cost-diff-12096
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff64
(fma.f64 #s(literal 2 binary64) y y)
Rules
54×lower-fma.f32
48×lower-fma.f64
40×lower-+.f32
38×lower-+.f64
28×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019132
029130
149112
274112
378112
078101
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
y
(fma.f64 #s(literal 2 binary64) y y)
#s(literal 2 binary64)
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
#s(literal 3 binary64)
(*.f64 y y)
y
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
#s(literal 3 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
Outputs
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
(+.f64 (hypot.f64 y y) (hypot.f64 x y))
y
(fma.f64 #s(literal 2 binary64) y y)
(*.f64 #s(literal 3 binary64) y)
#s(literal 2 binary64)
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 y y)
y
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y))
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+.f64 (hypot.f64 y y) (hypot.f64 x y))
#s(literal 3 binary64)
(*.f64 y y)
y
(*.f64 x x)
x

localize58.0ms (0.8%)

Memory
17.0MiB live, 55.8MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y y)
accuracy0
(*.f64 x x)
accuracy0.08203125
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
accuracy0
(*.f64 y y)
accuracy0
(*.f64 x x)
accuracy0.078125
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y))
accuracy26.894017765371082
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
accuracy0
(*.f64 y y)
accuracy0.1484375
(*.f64 #s(literal 3 binary64) (*.f64 y y))
accuracy28.539761577342237
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
accuracy0
(*.f64 x x)
accuracy26.900321439250593
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
accuracy0
(fma.f64 #s(literal 2 binary64) y y)
accuracy0
(*.f64 x x)
accuracy0.0703125
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
Samples
46.0ms256×0valid
Compiler

Compiled 120 to 17 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 7.0ms (51% of total)
ival-add: 6.0ms (43.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
16.9MiB live, 16.9MiB allocated
Counts
10 → 192
Calls
Call 1
Inputs
#s(alt (fma.f64 #s(literal 2 binary64) y y) (patch (fma.f64 #s(literal 2 binary64) y y) #<representation:binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())
#s(alt (fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) (patch (fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) #<representation:binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 3 binary64) (*.f64 y y)) #<representation:binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())
#s(alt (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) #<representation:binary64>) () ())
Outputs
#s(alt (* 3 y) (taylor 0 y) (#s(alt (fma.f64 #s(literal 2 binary64) y y) (patch (fma.f64 #s(literal 2 binary64) y y) #<representation:binary64>) () ())) ())
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#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 (fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) (patch (fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) (patch (fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) (patch (fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) (patch (fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) #<representation:binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
((+ (* 2 y) y) (* x x) (+ (* y (+ (* 2 y) y)) (* x x)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* 3 (* y y)) (* x x)))
1.0ms
y
@inf
((+ (* 2 y) y) (* x x) (+ (* y (+ (* 2 y) y)) (* x x)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* 3 (* y y)) (* x x)))
1.0ms
y
@-inf
((+ (* 2 y) y) (* x x) (+ (* y (+ (* 2 y) y)) (* x x)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* 3 (* y y)) (* x x)))
1.0ms
y
@0
((+ (* 2 y) y) (* x x) (+ (* y (+ (* 2 y) y)) (* x x)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* 3 (* y y)) (* x x)))
1.0ms
x
@inf
((+ (* 2 y) y) (* x x) (+ (* y (+ (* 2 y) y)) (* x x)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* 3 (* y y)) (* x x)))

simplify311.0ms (4.6%)

Memory
-16.0MiB live, 190.9MiB allocated
Algorithm
egg-herbie
Rules
22 586×lower-fma.f64
22 586×lower-fma.f32
4 460×lower-*.f64
4 460×lower-*.f32
2 132×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0371284
11041284
22541284
38871284
420501284
529881284
653311284
778751284
080741176
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* y (+ y (* 2 y)))
(+ (* y (+ y (* 2 y))) (pow x 2))
(+ (* y (+ y (* 2 y))) (pow x 2))
(+ (* y (+ y (* 2 y))) (pow x 2))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2))))
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2))))
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2))))
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2))))
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
Outputs
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(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)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) 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)
(* y (+ y (* 2 y)))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* y (+ y (* 2 y))) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* y (+ y (* 2 y))) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* y (+ y (* 2 y))) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) 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)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) 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)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))

rewrite387.0ms (5.7%)

Memory
-27.1MiB live, 179.1MiB allocated
Rules
8 948×lower-fma.f32
8 942×lower-fma.f64
4 144×lower-*.f32
4 138×lower-*.f64
3 516×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019106
029104
112686
299682
0857475
Stop Event
iter limit
node limit
iter limit
Counts
10 → 589
Calls
Call 1
Inputs
(fma.f64 #s(literal 2 binary64) y y)
(*.f64 x x)
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 y y)
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
Outputs
(*.f64 (hypot.f64 y (*.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y #s(literal 2 binary64)))))
(*.f64 (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y))))
(*.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (pow.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 y y) #s(literal 7 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y #s(literal 2 binary64)) y)))) (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))))))
(/.f64 (neg.f64 (hypot.f64 y (*.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y))) (neg.f64 (neg.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y))))
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(fma.f64 (hypot.f64 (pow.f64 (hypot.f64 x y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (hypot.f64 x y) (*.f64 y y)) (*.f64 (*.f64 (hypot.f64 x y) y) y)) #s(literal -1 binary64)) (*.f64 y y))
(fma.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 7 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 7 binary64)) (*.f64 x x)))))
(fma.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 y y) #s(literal 7 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 (hypot.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (pow.f64 (+.f64 (hypot.f64 x y) #s(literal 0 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (hypot.f64 x y) #s(literal 0 binary64)))))
(fma.f64 (hypot.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (hypot.f64 x y))) (*.f64 y y))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (hypot.f64 x y))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) (hypot.f64 x y))
(fma.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) (hypot.f64 x y))
(fma.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64) (hypot.f64 x y))
(fma.f64 (*.f64 y #s(literal 2 binary64)) (neg.f64 y) (hypot.f64 x y))
(fma.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 y #s(literal 2 binary64)) y) (hypot.f64 x y))
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (hypot.f64 x y))
(fma.f64 (*.f64 y y) #s(literal 7 binary64) (*.f64 x x))
(fma.f64 (*.f64 y y) #s(literal -2 binary64) (hypot.f64 x y))
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (hypot.f64 x y))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 7 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(fma.f64 y (-.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) (hypot.f64 x y))
(fma.f64 y (fma.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) y)) (*.f64 x x))
(fma.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) (hypot.f64 x y))
(fma.f64 y (+.f64 (-.f64 y (*.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)))) (*.f64 x x))
(fma.f64 y (fma.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)) (-.f64 y (*.f64 y #s(literal 2 binary64)))) (*.f64 x x))
(fma.f64 y (fma.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) y)) (*.f64 x x))
(fma.f64 y (*.f64 #s(literal -2 binary64) y) (hypot.f64 x y))
(fma.f64 y (-.f64 y (*.f64 y #s(literal 2 binary64))) (*.f64 x x))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (hypot.f64 x y))
(fma.f64 y (*.f64 #s(literal 3 binary64) y) (*.f64 x x))
(fma.f64 y y (fma.f64 y y (hypot.f64 x y)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -3 binary64) (*.f64 y y)) (hypot.f64 x y))
(fma.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) y) (hypot.f64 x y))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (hypot.f64 x y))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (hypot.f64 x y) #s(literal 0 binary64))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (hypot.f64 x y) #s(literal 0 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 7 binary64)) (*.f64 x x))) (/.f64 (hypot.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal 7 binary64)) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 (hypot.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (hypot.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal 7 binary64)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 7 binary64)) (*.f64 x x))))
(-.f64 (/.f64 (hypot.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (hypot.f64 x y) #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (hypot.f64 x y) #s(literal 0 binary64))))
(-.f64 (hypot.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 y y) #s(literal 7 binary64)) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 7 binary64)) (*.f64 x x)))))
(+.f64 (/.f64 (hypot.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (hypot.f64 x y) #s(literal 0 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (hypot.f64 x y) #s(literal 0 binary64)))))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (hypot.f64 x y))
(+.f64 (*.f64 (*.f64 y y) #s(literal 7 binary64)) (*.f64 x x))
(+.f64 (*.f64 y y) (fma.f64 y y (hypot.f64 x y)))
(+.f64 (fma.f64 y y (hypot.f64 x y)) (*.f64 y y))
(+.f64 (hypot.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 7 binary64)))

eval103.0ms (1.5%)

Memory
33.2MiB live, 68.5MiB allocated
Compiler

Compiled 15 780 to 1 163 computations (92.6% saved)

prune72.0ms (1.1%)

Memory
-22.5MiB live, 52.1MiB allocated
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New8674871
Fresh112
Picked325
Done000
Total8717878
Accuracy
100.0%
Counts
878 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.8%
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
99.9%
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
55.4%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y)))
18.5%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
55.3%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
58.0%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
55.3%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Compiler

Compiled 96 to 82 computations (14.6% saved)

simplify202.0ms (3%)

Memory
28.0MiB live, 74.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 y #s(literal 4 binary64))
cost-diff0
(*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
cost-diff128
(neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 y #s(literal 2 binary64))
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y)))
cost-diff384
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
cost-diff0
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
cost-diff-12096
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 y y))
Rules
2 080×lower-fma.f32
2 074×lower-fma.f64
1 544×lower-*.f32
1 528×lower-*.f64
684×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030194
046185
181156
2171156
3432156
4780156
5994156
61219156
71395156
81509156
91719156
101940156
112645156
123205156
133423156
143498156
153551156
163551156
173557156
183557156
193557156
203597156
213613156
223613156
233613156
03613146
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
x
(*.f64 #s(literal 3 binary64) (*.f64 y y))
#s(literal 3 binary64)
(*.f64 y y)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
y
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y)))
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y))
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(*.f64 y y)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y)))
(neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))
#s(literal 9 binary64)
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 y y))
#s(literal -3 binary64)
(*.f64 y y)
Outputs
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(+.f64 (hypot.f64 y y) (hypot.f64 y x))
x
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 y y)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
y
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
y
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
y
#s(literal 2 binary64)
(*.f64 y y)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) y) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y)))
(*.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) y) (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))
#s(literal 9 binary64)
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 y y))
#s(literal -3 binary64)
(*.f64 y y)

localize102.0ms (1.5%)

Memory
6.3MiB live, 118.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.08660126953688403
(*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))
accuracy0.1484375
(*.f64 #s(literal -3 binary64) (*.f64 y y))
accuracy28.539761577342237
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
accuracy42.95927749642219
(/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y)))
accuracy0
(*.f64 y y)
accuracy0
(*.f64 y #s(literal 2 binary64))
accuracy0.07421875
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y))
accuracy28.539761577342237
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y)))
accuracy0
(*.f64 x x)
accuracy0.0390625
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
accuracy26.894017765371082
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
accuracy0
(*.f64 #s(literal 3 binary64) y)
accuracy0.15234375
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
accuracy28.539761577342237
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
accuracy0
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
accuracy0
(*.f64 y y)
accuracy0.1484375
(*.f64 #s(literal 3 binary64) (*.f64 y y))
Samples
85.0ms256×0valid
Compiler

Compiled 163 to 27 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-pow: 34.0ms (60.2% of total)
ival-mult: 13.0ms (23% of total)
ival-add: 6.0ms (10.6% of total)
ival-div: 2.0ms (3.5% of total)
exact: 1.0ms (1.8% of total)
ival-neg: 1.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series46.0ms (0.7%)

Memory
-18.9MiB live, 30.2MiB allocated
Counts
18 → 288
Calls
Call 1
Inputs
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 3 binary64) (*.f64 y y)) #<representation:binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())
#s(alt (fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y))) (patch (fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y))) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) y) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) y) #<representation:binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation:binary64>) () ())
#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation:binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())
#s(alt (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y)) (patch (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y)) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y))) #<representation:binary64>) () ())
#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation:binary64>) () ())
#s(alt (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (patch (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y)))) #<representation:binary64>) () ())
#s(alt (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (patch (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) #<representation:binary64>) () ())
#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation:binary64>) () ())
#s(alt (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y))) (patch (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y))) #<representation:binary64>) () ())
#s(alt (*.f64 #s(literal -3 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -3 binary64) (*.f64 y y)) #<representation:binary64>) () ())
Outputs
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 3 binary64) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 3 binary64) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 3 binary64) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 3 binary64) (*.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 (fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y))) (patch (fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y))) (patch (fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y))) (patch (fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y))) (patch (fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) y) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) y) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) y) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) y) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) y) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) y) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) y) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) y) #<representation:binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation:binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation:binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation:binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y)) (patch (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y)) (patch (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y)) (patch (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y)) (patch (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -9 (pow y 4)) (taylor 0 y) (#s(alt (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (patch (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -9 (pow y 4)) (taylor 0 y) (#s(alt (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (patch (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -9 (pow y 4)) (taylor 0 y) (#s(alt (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (patch (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -9 (pow y 4)) (taylor 0 y) (#s(alt (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (patch (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y)))) #<representation:binary64>) () ())) ())
#s(alt (* 9 (pow y 4)) (taylor 0 y) (#s(alt (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (patch (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 9 (pow y 4)) (taylor 0 y) (#s(alt (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (patch (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 9 (pow y 4)) (taylor 0 y) (#s(alt (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (patch (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 9 (pow y 4)) (taylor 0 y) (#s(alt (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (patch (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) #<representation:binary64>) () ())) ())
#s(alt (pow y 4) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow y 4) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow y 4) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow y 4) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y))) (patch (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y))) (patch (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y))) (patch (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y))) (patch (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (* -3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -3 binary64) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* -3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -3 binary64) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* -3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -3 binary64) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* -3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal -3 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -3 binary64) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 3 binary64) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 3 binary64) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 3 binary64) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 3 binary64) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y))) (patch (fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y))) (patch (fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y))) #<representation:binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
21.0ms
y
@0
((* 3 (* y y)) (* y y) (+ (* x x) (* 3 (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (* x x) (+ (* (* y 2) y) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y 2) (neg (* 9 (pow y 4))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 9 (pow y 4)) (pow y 4) (/ (neg (* 9 (pow y 4))) (* -3 (* y y))) (* -3 (* y y)))
13.0ms
y
@inf
((* 3 (* y y)) (* y y) (+ (* x x) (* 3 (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (* x x) (+ (* (* y 2) y) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y 2) (neg (* 9 (pow y 4))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 9 (pow y 4)) (pow y 4) (/ (neg (* 9 (pow y 4))) (* -3 (* y y))) (* -3 (* y y)))
2.0ms
y
@-inf
((* 3 (* y y)) (* y y) (+ (* x x) (* 3 (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (* x x) (+ (* (* y 2) y) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y 2) (neg (* 9 (pow y 4))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 9 (pow y 4)) (pow y 4) (/ (neg (* 9 (pow y 4))) (* -3 (* y y))) (* -3 (* y y)))
1.0ms
x
@inf
((* 3 (* y y)) (* y y) (+ (* x x) (* 3 (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (* x x) (+ (* (* y 2) y) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y 2) (neg (* 9 (pow y 4))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 9 (pow y 4)) (pow y 4) (/ (neg (* 9 (pow y 4))) (* -3 (* y y))) (* -3 (* y y)))
1.0ms
x
@-inf
((* 3 (* y y)) (* y y) (+ (* x x) (* 3 (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (* x x) (+ (* (* y 2) y) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y 2) (neg (* 9 (pow y 4))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 9 (pow y 4)) (pow y 4) (/ (neg (* 9 (pow y 4))) (* -3 (* y y))) (* -3 (* y y)))

simplify311.0ms (4.6%)

Memory
-10.5MiB live, 183.7MiB allocated
Algorithm
egg-herbie
Rules
15 808×lower-fma.f64
15 808×lower-fma.f32
4 058×lower-*.f64
4 058×lower-*.f32
1 824×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0391716
1941716
22181716
37841716
426131716
534941716
661681716
083921608
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -9 (pow y 4))
(* -9 (pow y 4))
(* -9 (pow y 4))
(* -9 (pow y 4))
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 9 (pow y 4))
(* 9 (pow y 4))
(* 9 (pow y 4))
(* 9 (pow y 4))
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* -3 (pow y 2))
(* -3 (pow y 2))
(* -3 (pow y 2))
(* -3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -9 (pow y 4))
(* -9 (pow y 4))
(* -9 (pow y 4))
(* -9 (pow y 4))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 9 (pow y 4))
(* 9 (pow y 4))
(* 9 (pow y 4))
(* 9 (pow y 4))
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* -3 (pow y 2))
(* -3 (pow y 2))
(* -3 (pow y 2))
(* -3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -9 (pow y 4))
(* -9 (pow y 4))
(* -9 (pow y 4))
(* -9 (pow y 4))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 9 (pow y 4))
(* 9 (pow y 4))
(* 9 (pow y 4))
(* 9 (pow y 4))
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* -3 (pow y 2))
(* -3 (pow y 2))
(* -3 (pow y 2))
(* -3 (pow y 2))
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
Outputs
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(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)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -9 binary64))
(* -9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -9 binary64))
(* -9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -9 binary64))
(* -9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -9 binary64))
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -9 binary64))
(* -9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -9 binary64))
(* -9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -9 binary64))
(* -9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -9 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -9 binary64))
(* -9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -9 binary64))
(* -9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -9 binary64))
(* -9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -9 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal 2 binary64) 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 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 #s(literal 2 binary64) 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)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 #s(literal 2 binary64) 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)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) y (*.f64 x x))

rewrite472.0ms (6.9%)

Memory
39.7MiB live, 386.9MiB allocated
Rules
6 540×lower-fma.f32
6 534×lower-fma.f64
4 698×lower-*.f32
4 682×lower-*.f64
4 632×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030175
046154
1160129
21222125
08346119
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 994
Calls
Call 1
Inputs
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 y y)
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
(*.f64 #s(literal 3 binary64) y)
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y)))
(*.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
(*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y)))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
Outputs
(*.f64 (/.f64 (*.f64 #s(literal -9 binary64) (*.f64 y y)) (*.f64 #s(literal -3 binary64) y)) (/.f64 (*.f64 y y) y))
(*.f64 (/.f64 (*.f64 #s(literal -9 binary64) (*.f64 y y)) #s(literal -3 binary64)) (/.f64 (*.f64 y y) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 #s(literal -9 binary64) (*.f64 y y)) (*.f64 y y)) (/.f64 (*.f64 y y) #s(literal -3 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -9 binary64) (*.f64 y y)) y) (/.f64 (*.f64 y y) (*.f64 #s(literal -3 binary64) y)))
(*.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) y)) (/.f64 #s(literal 9 binary64) y))
(*.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (neg.f64 (*.f64 #s(literal -3 binary64) y))) (/.f64 (*.f64 y y) y))
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(*.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) y))
(*.f64 (/.f64 #s(literal -9 binary64) y) (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) y)))
(*.f64 (/.f64 #s(literal -9 binary64) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) y) y)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 (-.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 y y)) (*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) y) y)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal 3 binary64)))
(*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal -3 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (*.f64 #s(literal -3 binary64) y))) (/.f64 #s(literal -9 binary64) y))
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -9 binary64) (pow.f64 (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) y) y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal -9 binary64) (pow.f64 (-.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 y y)) (*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) y) y)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) y) y)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 9 binary64) (+.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 y y)) (*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) y) y)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 9 binary64) (*.f64 y #s(literal 3 binary64))) (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) y))
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -9 binary64) y))
(*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) y)) (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 3 binary64))) y))
(*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -3 binary64)) (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 3 binary64))) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 3 binary64))) #s(literal -3 binary64)))
(*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) y) (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 3 binary64))) (*.f64 #s(literal -3 binary64) y)))
(*.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) y))
(*.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -3 binary64)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) y) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) y)))
(*.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -3 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -3 binary64)) (/.f64 (*.f64 y y) (*.f64 y y)))
(*.f64 (/.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y) (/.f64 (*.f64 y y) (*.f64 #s(literal -3 binary64) y)))
(*.f64 (/.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 (*.f64 y y) #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) y)) (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 3 binary64))) y))
(*.f64 (/.f64 #s(literal 3 binary64) (*.f64 y y)) (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 3 binary64))) #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 3 binary64))) (*.f64 #s(literal -3 binary64) y)))
(*.f64 (/.f64 (*.f64 y y) #s(literal -3 binary64)) (/.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 y y) #s(literal -3 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 y y) #s(literal 3 binary64))) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 y y) #s(literal -3 binary64)) (/.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal -3 binary64) y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) y))
(*.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal -3 binary64) y)) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 y y) #s(literal 3 binary64))) y))
(*.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal -3 binary64) y)) (/.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y))
(*.f64 (/.f64 y (*.f64 #s(literal -3 binary64) y)) (/.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) y))
(*.f64 (/.f64 y #s(literal -3 binary64)) (/.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 y y) (*.f64 y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) #s(literal -3 binary64)))
(*.f64 (/.f64 (*.f64 y y) (*.f64 y y)) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 y y) #s(literal 3 binary64))) #s(literal -3 binary64)))
(*.f64 (/.f64 (*.f64 y y) (*.f64 y y)) (/.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -3 binary64)))
(*.f64 (/.f64 (*.f64 y y) y) (/.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) y)))
(*.f64 (/.f64 (*.f64 y y) y) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 y y) #s(literal 3 binary64))) (*.f64 #s(literal -3 binary64) y)))
(*.f64 (/.f64 (*.f64 y y) y) (/.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) y)))
(*.f64 (/.f64 y (*.f64 y y)) (/.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) #s(literal -3 binary64)))
(*.f64 (/.f64 y y) (/.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) (*.f64 #s(literal -3 binary64) y)))
(*.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal -9 binary64) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) y)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) y))
(*.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (neg.f64 y)))
(*.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal -9 binary64) (*.f64 #s(literal -3 binary64) y)) (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) y))
(*.f64 (/.f64 #s(literal -9 binary64) (*.f64 y y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) y) (/.f64 #s(literal -1 binary64) (*.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) y)) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) (neg.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) y)) (/.f64 (*.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64))) y))
(*.f64 (*.f64 (/.f64 #s(literal 9 binary64) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) y)) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 #s(literal -9 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) y) (/.f64 #s(literal 9 binary64) (*.f64 y #s(literal 3 binary64))))
(*.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal -2 binary64))) #s(literal 3 binary64))
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal -9 binary64) (*.f64 y y)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -9 binary64) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) y)))
(*.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal 9 binary64) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) y)))
(*.f64 (/.f64 #s(literal 9 binary64) y) (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 9 binary64) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) y)))
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) y)) (/.f64 #s(literal 9 binary64) y))
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) y) (/.f64 #s(literal -9 binary64) (*.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) y) (/.f64 #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) y)))
(*.f64 (/.f64 #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) y))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64)) (/.f64 #s(literal 9 binary64) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal -1/3 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal -9 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (*.f64 #s(literal -3 binary64) y) y)
(*.f64 #s(literal -9 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 y y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 3 binary64))) (*.f64 y y)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 y y)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) #s(literal 1 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(*.f64 (*.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))
(*.f64 #s(literal 9 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))
(*.f64 (*.f64 y y) #s(literal -3 binary64))
(*.f64 y (*.f64 #s(literal -3 binary64) y))
(*.f64 #s(literal 3 binary64) (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal -2 binary64))))
(pow.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal -3 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 9 binary64) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) y))) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal -3 binary64)) y)
(/.f64 (*.f64 (/.f64 #s(literal 9 binary64) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) y)) #s(literal -3 binary64))
(/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal -1/3 binary64)) (*.f64 y y))
(/.f64 (*.f64 #s(literal -9 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64))) (neg.f64 (*.f64 y y)))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 9 binary64) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))
(/.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1 binary64))
(neg.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal 3 binary64)))

eval630.0ms (9.3%)

Memory
23.4MiB live, 560.0MiB allocated
Compiler

Compiled 42 722 to 3 171 computations (92.6% saved)

prune336.0ms (4.9%)

Memory
-174.7MiB live, 159.2MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New2 32732 330
Fresh000
Picked235
Done022
Total2 32982 337
Accuracy
100.0%
Counts
2 337 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.8%
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
99.9%
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
55.4%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
27.3%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))))
55.2%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))
55.3%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
58.0%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
55.3%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Compiler

Compiled 66 to 53 computations (19.7% saved)

simplify105.0ms (1.5%)

Memory
-36.6MiB live, 164.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(+.f64 y y)
cost-diff0
(*.f64 y y)
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
cost-diff384
(fma.f64 y (+.f64 y y) (*.f64 y y))
cost-diff0
(*.f64 (*.f64 y y) #s(literal 3 binary64))
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))))
cost-diff704
(/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))
cost-diff1984
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))
cost-diff1088
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))
Rules
4 076×lower-*.f32
4 070×lower-*.f64
3 462×lower-/.f32
3 456×lower-/.f64
2 096×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023163
035123
169109
2209101
31109101
43742101
55543101
0821195
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))
#s(literal -1 binary64)
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
#s(literal -1/3 binary64)
(*.f64 y y)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(*.f64 y y)
y
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
#s(literal -3 binary64)
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
#s(literal -1/3 binary64)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
(fma.f64 y (+.f64 y y) (*.f64 y y))
y
(+.f64 y y)
(*.f64 y y)
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
#s(literal -1 binary64)
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
#s(literal -1/3 binary64)
(*.f64 y y)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 y y)
y
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))
#s(literal 1 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 y y))
#s(literal -3 binary64)
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
#s(literal -1/3 binary64)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 y (+.f64 y y) (*.f64 y y))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
y
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 y y)

localize175.0ms (2.6%)

Memory
6.2MiB live, 123.1MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y y)
accuracy0
(*.f64 y y)
accuracy0.07421875
(fma.f64 y (+.f64 y y) (*.f64 y y))
accuracy28.539761577342237
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
accuracy0.1484375
(*.f64 #s(literal -3 binary64) (*.f64 y y))
accuracy0.30245212305554364
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
accuracy28.01203236979409
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))
accuracy28.539761577342237
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))))
accuracy0
(*.f64 y y)
accuracy0.13671875
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))
accuracy0.30245212305554364
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
accuracy28.539761577342237
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))
Samples
156.0ms256×0valid
Compiler

Compiled 131 to 22 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 12.0ms (46.6% of total)
ival-div: 5.0ms (19.4% of total)
ival-add: 5.0ms (19.4% of total)
const: 3.0ms (11.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
26.7MiB live, 26.7MiB allocated
Counts
12 → 180
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (patch (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) #<representation:binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (patch (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) #<representation:binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) (patch (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 y y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 3 binary64)) #<representation:binary64>) () ())
#s(alt (fma.f64 y (+.f64 y y) (*.f64 y y)) (patch (fma.f64 y (+.f64 y y) (*.f64 y y)) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation:binary64>) () ())
#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())
#s(alt (*.f64 #s(literal -3 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -3 binary64) (*.f64 y y)) #<representation:binary64>) () ())
Outputs
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) #<representation:binary64>) () ())) ())
#s(alt (/ -1/3 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (patch (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (/ -1/3 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (patch (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (/ -1/3 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (patch (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (/ -1/3 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (patch (/.f64 #s(literal -1/3 binary64) (*.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 1 (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (patch (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (patch (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (patch (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (patch (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) (patch (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) (patch (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) (patch (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) (patch (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y (+.f64 y y) (*.f64 y y)) (patch (fma.f64 y (+.f64 y y) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y (+.f64 y y) (*.f64 y y)) (patch (fma.f64 y (+.f64 y y) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y (+.f64 y y) (*.f64 y y)) (patch (fma.f64 y (+.f64 y y) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y (+.f64 y y) (*.f64 y y)) (patch (fma.f64 y (+.f64 y y) (*.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 3 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation:binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) #<representation:binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
((/ -1 (/ -1/3 (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ -1/3 (* y y)) (* y y) (* (* -3 (* y y)) (/ -1/3 (* y y))) (/ (* (* y y) 3) (* (* -3 (* y y)) (/ -1/3 (* y y)))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* y y) 3) (+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ y y) (* -3 (* y y)))
1.0ms
y
@-inf
((/ -1 (/ -1/3 (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ -1/3 (* y y)) (* y y) (* (* -3 (* y y)) (/ -1/3 (* y y))) (/ (* (* y y) 3) (* (* -3 (* y y)) (/ -1/3 (* y y)))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* y y) 3) (+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ y y) (* -3 (* y y)))
1.0ms
y
@0
((/ -1 (/ -1/3 (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ -1/3 (* y y)) (* y y) (* (* -3 (* y y)) (/ -1/3 (* y y))) (/ (* (* y y) 3) (* (* -3 (* y y)) (/ -1/3 (* y y)))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* y y) 3) (+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ y y) (* -3 (* y y)))
0.0ms
x
@inf
((/ -1 (/ -1/3 (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ -1/3 (* y y)) (* y y) (* (* -3 (* y y)) (/ -1/3 (* y y))) (/ (* (* y y) 3) (* (* -3 (* y y)) (/ -1/3 (* y y)))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* y y) 3) (+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ y y) (* -3 (* y y)))
0.0ms
x
@-inf
((/ -1 (/ -1/3 (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ -1/3 (* y y)) (* y y) (* (* -3 (* y y)) (/ -1/3 (* y y))) (/ (* (* y y) 3) (* (* -3 (* y y)) (/ -1/3 (* y y)))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* y y) 3) (+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ y y) (* -3 (* y y)))

simplify152.0ms (2.2%)

Memory
-15.8MiB live, 180.7MiB allocated
Algorithm
egg-herbie
Rules
8 178×lower-fma.f64
8 178×lower-fma.f32
3 806×lower-*.f64
3 806×lower-*.f32
1 348×distribute-lft-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0261002
1621002
21591002
35631002
418711002
526621002
638741002
772041002
08011948
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(/ -1/3 (pow y 2))
(/ -1/3 (pow y 2))
(/ -1/3 (pow y 2))
(/ -1/3 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
1
1
1
1
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -3 (pow y 2))
(* -3 (pow y 2))
(* -3 (pow y 2))
(* -3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(/ -1/3 (pow y 2))
(/ -1/3 (pow y 2))
(/ -1/3 (pow y 2))
(/ -1/3 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
1
1
1
1
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -3 (pow y 2))
(* -3 (pow y 2))
(* -3 (pow y 2))
(* -3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(/ -1/3 (pow y 2))
(/ -1/3 (pow y 2))
(/ -1/3 (pow y 2))
(/ -1/3 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
1
1
1
1
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -3 (pow y 2))
(* -3 (pow y 2))
(* -3 (pow y 2))
(* -3 (pow y 2))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
Outputs
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(/ -1/3 (pow y 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
(/ -1/3 (pow y 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
(/ -1/3 (pow y 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
(/ -1/3 (pow y 2))
(/.f64 #s(literal -1/3 binary64) (*.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)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(/ -1/3 (pow y 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
(/ -1/3 (pow y 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
(/ -1/3 (pow y 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
(/ -1/3 (pow y 2))
(/.f64 #s(literal -1/3 binary64) (*.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)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(/ -1/3 (pow y 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
(/ -1/3 (pow y 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
(/ -1/3 (pow y 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
(/ -1/3 (pow y 2))
(/.f64 #s(literal -1/3 binary64) (*.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)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))

rewrite94.0ms (1.4%)

Memory
-14.0MiB live, 153.7MiB allocated
Rules
692×lower-*.f32
684×lower-*.f64
660×lower-/.f32
654×lower-/.f64
654×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023144
035128
1143110
01282101
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
12 → 270
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
(*.f64 y y)
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(fma.f64 y (+.f64 y y) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
(+.f64 y y)
(*.f64 #s(literal -3 binary64) (*.f64 y y))
Outputs
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) #s(literal -1 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(*.f64 y (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 y y)))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (-.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) y))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (hypot.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) (hypot.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))
(/.f64 #s(literal 3 binary64) (pow.f64 y #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))
(neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 y y))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 y y))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 y y))
(fma.f64 #s(literal 2 binary64) y (*.f64 y y))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 y y) (*.f64 y y))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 y y))
(fma.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) y) (*.f64 y y))
(fma.f64 y #s(literal 2 binary64) (*.f64 y y))
(fma.f64 y (*.f64 #s(literal 2 binary64) y) (*.f64 y y))
(fma.f64 y y (*.f64 #s(literal 2 binary64) y))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 y y))
(+.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1/3 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal -2 binary64)))
(pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal -1/3 binary64) y)) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1/3 binary64) y) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal -1/3 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 y y)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 y) y))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 #s(literal -1/3 binary64) (*.f64 y y))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(neg.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 y y)
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y))
(*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (*.f64 #s(literal -3 binary64) y)) y)
(*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) #s(literal -3 binary64)) (*.f64 y y))
(*.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) y) (/.f64 #s(literal -1/3 binary64) y))
(*.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal -3 binary64))
(*.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 y (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (*.f64 #s(literal -3 binary64) (*.f64 y y)))
(*.f64 (*.f64 y y) (*.f64 #s(literal -3 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))
(*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
(pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) y) y)
(/.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) (*.f64 #s(literal -3 binary64) (*.f64 y y))) y)
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (*.f64 y y))) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) y)) y)
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(*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 y y))
(*.f64 (*.f64 #s(literal 2 binary64) y) y)
(*.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) y))
(*.f64 y #s(literal 2 binary64))
(*.f64 y (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 0 binary64))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (*.f64 y y))
(fma.f64 y y (*.f64 y y))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(hypot.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(hypot.f64 (pow.f64 y #s(literal 1 binary64)) y)
(hypot.f64 y (pow.f64 y #s(literal 1 binary64)))
(hypot.f64 y y)
(+.f64 (*.f64 y y) (*.f64 y y))
(+.f64 y y)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)
(*.f64 (neg.f64 y) (*.f64 #s(literal 3 binary64) y))
(*.f64 (*.f64 #s(literal -3 binary64) y) y)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 y y)))
(*.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 (neg.f64 y) y))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal -3 binary64))
(*.f64 y (neg.f64 (*.f64 #s(literal 3 binary64) y)))
(*.f64 y (/.f64 y #s(literal -1/3 binary64)))
(*.f64 y (*.f64 #s(literal -3 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(pow.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 y) y) #s(literal 1/3 binary64))
(/.f64 #s(literal -3 binary64) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 y y) #s(literal -1/3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))
(neg.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) (*.f64 y y)))

eval57.0ms (0.8%)

Memory
3.5MiB live, 156.8MiB allocated
Compiler

Compiled 7 584 to 825 computations (89.1% saved)

prune20.0ms (0.3%)

Memory
36.7MiB live, 75.7MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New5420542
Fresh000
Picked033
Done055
Total5428550
Accuracy
100.0%
Counts
550 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.8%
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
99.9%
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
55.4%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
27.3%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))))
55.2%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))
55.3%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
58.0%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
55.3%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Compiler

Compiled 229 to 108 computations (52.8% saved)

regimes28.0ms (0.4%)

Memory
-13.2MiB live, 69.2MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))))
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
(+.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))) (*.f64 y y)) (*.f64 y y))
Outputs
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
Calls

5 calls:

8.0ms
y
6.0ms
(*.f64 y y)
5.0ms
x
5.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
4.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
99.9%1(*.f64 x x)
99.9%1(*.f64 y y)
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes18.0ms (0.3%)

Memory
12.5MiB live, 50.7MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Outputs
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Calls

5 calls:

4.0ms
(*.f64 x x)
3.0ms
y
3.0ms
x
3.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
99.9%1(*.f64 x x)
99.9%1(*.f64 y y)
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes18.0ms (0.3%)

Memory
-28.3MiB live, 48.8MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
Outputs
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
Calls

5 calls:

5.0ms
x
4.0ms
(*.f64 y y)
3.0ms
y
3.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
99.9%1(*.f64 x x)
99.9%1(*.f64 y y)
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes19.0ms (0.3%)

Memory
7.2MiB live, 47.6MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y)))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
Calls

5 calls:

7.0ms
y
3.0ms
x
3.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
3.0ms
(*.f64 x x)
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
91.4%2x
82.8%2y
77.8%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
91.4%2(*.f64 x x)
82.8%2(*.f64 y y)
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes5.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) (*.f64 y y))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
Calls

2 calls:

2.0ms
x
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
91.3%2x
91.3%2(*.f64 x x)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes4.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
Calls

2 calls:

2.0ms
x
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
83.9%2x
83.9%2(*.f64 x x)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes4.0ms (0.1%)

Memory
-27.6MiB live, 10.8MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
Calls

2 calls:

3.0ms
(*.f64 x x)
2.0ms
x
Results
AccuracySegmentsBranch
83.8%2x
83.8%2(*.f64 x x)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes6.0ms (0.1%)

Memory
23.0MiB live, 23.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
y
1.0ms
x
1.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
1.0ms
(*.f64 x x)
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
58.0%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
58.0%1y
58.0%1(*.f64 y y)
58.0%1x
58.0%1(*.f64 x x)
Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch9.0ms (0.1%)

Memory
-12.5MiB live, 26.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
9.705722927834275e-170
4.7323677834474614e-169
Samples
5.0ms96×0valid
Compiler

Compiled 102 to 84 computations (17.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 2.0ms (63.8% of total)
ival-mult: 1.0ms (31.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
9.705722927834275e-170
4.7323677834474614e-169
Compiler

Compiled 84 to 84 computations (0% saved)

bsearch12.0ms (0.2%)

Memory
1.4MiB live, 40.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
1.0334532709978454e-155
5.287357045627416e-152
Samples
5.0ms128×0valid
Compiler

Compiled 82 to 100 computations (-22% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 2.0ms (78.3% of total)
ival-mult: 1.0ms (39.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
4.3MiB live, 4.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.0334532709978454e-155
5.287357045627416e-152
Compiler

Compiled 82 to 100 computations (-22% saved)

simplify36.0ms (0.5%)

Memory
8.9MiB live, 93.1MiB allocated
Algorithm
egg-herbie
Rules
*-commutative-binary64-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034229
137229
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(if (<=.f64 (*.f64 x x) #s(literal 403664874540743/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))))
(if (<=.f64 (*.f64 x x) #s(literal 403664874540743/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))))
(if (<=.f64 (*.f64 x x) #s(literal 8963160758951161/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)))
(if (<=.f64 (*.f64 x x) #s(literal 8963160758951161/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
Outputs
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(if (<=.f64 (*.f64 x x) #s(literal 403664874540743/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))))
(if (<=.f64 (*.f64 x x) #s(literal 403664874540743/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))))
(if (<=.f64 (*.f64 x x) #s(literal 8963160758951161/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)))
(if (<=.f64 (*.f64 x x) #s(literal 8963160758951161/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)))
(if (<=.f64 (*.f64 x x) #s(literal 8963160758951161/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64))) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

soundness1.3s (19%)

Memory
-20.3MiB live, 744.7MiB allocated
Rules
10 540×lower-fma.f64
10 540×lower-fma.f32
9 354×lower-fma.f64
9 354×lower-fma.f32
8 948×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030588
186588
2215588
3851588
42002588
52639588
64172588
75648588
86631588
97910588
08031480
030175
046154
1160129
21222125
08346119
019106
029104
112686
299682
0857475
0739
01239
15435
251729
3759229
0819921
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 269 to 135 computations (49.8% saved)

preprocess58.0ms (0.9%)

Memory
-18.7MiB live, 178.6MiB allocated
Remove

(abs x)

(abs y)

Compiler

Compiled 328 to 134 computations (59.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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