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

Time bar (total: 7.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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 10 computations (41.2% saved)

sample656.0ms (9%)

Memory
15.1MiB live, 1 230.2MiB allocated
Samples
414.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 239.0ms
ival-mult: 122.0ms (51.1% of total)
ival-add: 107.0ms (44.8% of total)
ival-true: 7.0ms (2.9% of total)
ival-assert: 3.0ms (1.3% of total)
Bogosity

explain103.0ms (1.4%)

Memory
-9.3MiB live, 198.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
50-0-(+.f64 (*.f64 x y) (*.f64 z z))
10-0-(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
10-0-(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
00-0-y
00-0-(*.f64 z z)
00-0-z
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 x y) (*.f64 z z))nan-rescue50
(*.f64 x y)overflow34
(*.f64 z z)overflow61
+.f64(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))nan-rescue10
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))overflow87
(+.f64 (*.f64 x y) (*.f64 z z))overflow87
(*.f64 x y)overflow34
(*.f64 z z)overflow122
(*.f64 z z)overflow61
+.f64(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))nan-rescue10
(+.f64 (*.f64 x y) (*.f64 z z))overflow87
(*.f64 x y)overflow34
(*.f64 z z)overflow61
(*.f64 z z)overflow61
Confusion
Predicted +Predicted -
+50
-0251
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+500
-00251
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0251
14
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms512×0valid
Compiler

Compiled 103 to 28 computations (72.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 11.0ms (60.4% of total)
ival-add: 6.0ms (32.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess74.0ms (1%)

Memory
4.2MiB live, 42.1MiB allocated
Algorithm
egg-herbie
Rules
726×unsub-neg
312×sub-neg
286×associate-+l-
256×cancel-sign-sub
210×distribute-lft-neg-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037142
1104120
223582
360281
4113181
5149781
6206881
7258681
8264481
9264481
0815
01315
12013
2309
3429
4509
5539
0538
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
Outputs
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
Symmetry

(abs z)

(sort x y)

Compiler

Compiled 15 to 8 computations (46.7% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify4.0ms (0.1%)

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

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff128
(+.f64 (*.f64 x y) (*.f64 z z))
cost-diff192
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
cost-diff512
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
Rules
58×lower-fma.f64
58×lower-fma.f32
36×lower-+.f32
30×lower-+.f64
30×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0842
01342
12038
23034
34234
45034
55334
05331
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
(+.f64 (*.f64 x y) (*.f64 z z))
(*.f64 x y)
x
y
(*.f64 z z)
z
Outputs
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
(fma.f64 #s(literal 2 binary64) (*.f64 z z) (*.f64 y x))
(+.f64 (*.f64 x y) (*.f64 z z))
(fma.f64 z z (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 z z)
z

localize125.0ms (1.7%)

Memory
-5.2MiB live, 36.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x y)
accuracy0.2539041858302058
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
accuracy0.3593729358302058
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
accuracy1.054685435830206
(+.f64 (*.f64 x y) (*.f64 z z))
Samples
120.0ms256×0valid
Compiler

Compiled 44 to 10 computations (77.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (69.6% of total)
ival-add: 3.0ms (29.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated
Counts
4 → 132
Calls
Call 1
Inputs
#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow z 2)) (taylor inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow z 2)) (taylor -inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 2 (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 2 (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 2 (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow z 2) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow z 2) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow z 2) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* 2 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* 2 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* 2 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z z)) (patch (+.f64 (*.f64 x y) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify145.0ms (2%)

Memory
-4.5MiB live, 104.2MiB allocated
Algorithm
egg-herbie
Rules
8 096×lower-fma.f64
8 096×lower-fma.f32
3 860×lower-*.f64
3 860×lower-*.f32
940×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070844
1244844
2750844
32131844
45841844
08161763
Stop Event
iter limit
node limit
Counts
132 → 132
Calls
Call 1
Inputs
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* x y)
(* x y)
(* x y)
(* x y)
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(* x y)
(*.f64 y x)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x y)
(*.f64 y x)
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(* 3 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* 2 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 2 binary64))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* 3 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* 2 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 2 binary64))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(+ (* 2 (pow z 2)) (pow z 2))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* 2 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 2 binary64))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* y (+ x (* 2 (/ (pow z 2) y))))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(* y (+ x (* 2 (/ (pow z 2) y))))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(* y (+ x (* 2 (/ (pow z 2) y))))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* y (+ x (/ (pow z 2) y)))
(fma.f64 z z (*.f64 y x))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 z z (*.f64 y x))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(+ (* 2 (pow z 2)) (pow z 2))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* 2 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 2 binary64))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ y (* 2 (/ (pow z 2) x))))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(* x (+ y (* 2 (/ (pow z 2) x))))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(* x (+ y (* 2 (/ (pow z 2) x))))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite530.0ms (7.3%)

Memory
-8.3MiB live, 236.3MiB allocated
Rules
10 458×lower-fma.f64
10 458×lower-fma.f32
4 638×lower-*.f32
4 634×lower-*.f64
3 250×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
01336
15532
251726
3758026
0818423
Stop Event
iter limit
node limit
iter limit
Counts
4 → 324
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
(+.f64 (*.f64 x y) (*.f64 z z))
(*.f64 x y)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 y x)) z) (neg.f64 z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 z z (*.f64 y x)) z) (neg.f64 z))))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (neg.f64 (fma.f64 z z (*.f64 y x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 y x)) z) (neg.f64 z)) (-.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 y x)) z) (neg.f64 z)) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)))
(*.f64 (-.f64 (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y x #s(literal 0 binary64)) (*.f64 z z))))
(*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z (*.f64 y x)))))
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (pow.f64 (fma.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)))
(*.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 3 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)) (fma.f64 z z (*.f64 y x))) (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)))))
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(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))) (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 z z) (*.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (fma.f64 (neg.f64 z) z (*.f64 y x)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64))) (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y x)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 z z) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z z) (*.f64 y x)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y x)) (+.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 8 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) (pow.f64 z #s(literal 18 binary64))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 y x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (*.f64 y x)))
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64))))
(neg.f64 (neg.f64 (fma.f64 z z (*.f64 y x))))
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 z z (*.f64 y x)) z) z (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x)) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 y x))
(fma.f64 (*.f64 (*.f64 x x) y) (/.f64 y (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))))
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))))
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (*.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))))
(fma.f64 z z (*.f64 y x))
(fma.f64 (*.f64 y x) (/.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))))
(fma.f64 y (/.f64 (*.f64 (*.f64 x x) y) (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))))
(fma.f64 y x (*.f64 z z))
(fma.f64 x (/.f64 (*.f64 (*.f64 y y) x) (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))))
(fma.f64 x y (*.f64 z z))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 z z) (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 y x))))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))))
(+.f64 (*.f64 z z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z z))
(*.f64 y x)
(*.f64 x y)

eval89.0ms (1.2%)

Memory
-37.4MiB live, 107.0MiB allocated
Compiler

Compiled 11 480 to 1 016 computations (91.1% saved)

prune12.0ms (0.2%)

Memory
30.2MiB live, 30.2MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4488456
Fresh000
Picked101
Done000
Total4498457
Accuracy
100.0%
Counts
457 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x)))
99.1%
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z)))
97.9%
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
97.8%
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z))
76.4%
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z))
98.3%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)))
53.4%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
52.9%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
Compiler

Compiled 144 to 120 computations (16.7% saved)

simplify17.0ms (0.2%)

Memory
-27.2MiB live, 9.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))
cost-diff192
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z))
cost-diff512
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 z z)
cost-diff0
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
cost-diff128
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 z z))
cost-diff0
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z)))
Rules
136×lower-fma.f32
130×lower-fma.f64
82×lower-*.f32
76×lower-*.f64
40×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023171
036150
159145
283141
3105141
4120141
5127141
6128141
0128137
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z)))
y
x
(*.f64 #s(literal 3 binary64) (*.f64 z z))
#s(literal 3 binary64)
(*.f64 z z)
z
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
(*.f64 y x)
y
x
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 z z)
z
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
#s(literal 3 binary64)
(*.f64 z z)
z
(*.f64 y x)
y
x
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))
(fma.f64 z z (*.f64 y x))
z
(*.f64 y x)
y
x
(*.f64 z z)
Outputs
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(fma.f64 x y (*.f64 (*.f64 z z) #s(literal 3 binary64)))
y
x
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 z z)
z
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 z z)
z
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(fma.f64 x y (*.f64 (*.f64 z z) #s(literal 3 binary64)))
#s(literal 3 binary64)
(*.f64 z z)
z
(*.f64 y x)
(*.f64 x y)
y
x
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z))
(fma.f64 x y (*.f64 (*.f64 z z) #s(literal 3 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z))
(fma.f64 #s(literal 2 binary64) (*.f64 z z) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))))
(fma.f64 z z (*.f64 x y))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x y)))
(fma.f64 z z (*.f64 y x))
(fma.f64 z z (*.f64 x y))
z
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 z z)

localize189.0ms (2.6%)

Memory
12.6MiB live, 88.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.2539041858302058
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z))
accuracy0.3593729358302058
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z))
accuracy0.5275578660341044
(/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))
accuracy1.0038952404222408
(fma.f64 z z (*.f64 y x))
accuracy0
(*.f64 z z)
accuracy0
(*.f64 y x)
accuracy1.136716685830206
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
accuracy0
(*.f64 z z)
accuracy0
(*.f64 y x)
accuracy0.3593729358302058
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z))
accuracy30.16653600367759
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
accuracy0
(*.f64 y x)
accuracy30.171774902161697
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
accuracy0
(*.f64 z z)
accuracy0.21484375
(*.f64 #s(literal 3 binary64) (*.f64 z z))
accuracy0.5039007452111204
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z)))
Samples
175.0ms256×0valid
Compiler

Compiled 168 to 21 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 159.0ms
ival-add: 149.0ms (93.8% of total)
ival-mult: 6.0ms (3.8% of total)
ival-div: 3.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory
19.6MiB live, 19.6MiB allocated
Counts
13 → 408
Calls
Call 1
Inputs
#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 z z)) (patch (*.f64 #s(literal 3 binary64) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())
#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 z z)) (patch (*.f64 #s(literal 3 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 z z)) (patch (*.f64 #s(literal 3 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 z z)) (patch (*.f64 #s(literal 3 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 z z)) (patch (*.f64 #s(literal 3 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (/ (pow z 2) (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) (patch (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 z z)) (patch (*.f64 #s(literal 3 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 z z)) (patch (*.f64 #s(literal 3 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 z z)) (patch (*.f64 #s(literal 3 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (*.f64 #s(literal 3 binary64) (*.f64 z z)) (patch (*.f64 #s(literal 3 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) (patch (+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z)) #<representation binary64>) () ())) ())
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#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (pow z 2) (* x (pow y 2))) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (fma.f64 z z (*.f64 y x)) (patch (fma.f64 z z (*.f64 y x)) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify234.0ms (3.2%)

Memory
-10.5MiB live, 226.7MiB allocated
Algorithm
egg-herbie
Rules
11 550×lower-fma.f64
11 550×lower-fma.f32
5 828×lower-*.f64
5 828×lower-*.f32
3 484×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02493786
17803754
223233714
379693702
091643446
Stop Event
iter limit
node limit
Counts
408 → 408
Calls
Call 1
Inputs
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(/ 1 (pow z 2))
(/ (+ 1 (* -1 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2))) (pow z 2))
(/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2)))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(/ 1 (pow z 2))
(/ (+ 1 (* -1 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2))) (pow z 2))
(/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2)))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(/ 1 (pow z 2))
(+ (* -1 (/ (* x y) (pow z 4))) (/ 1 (pow z 2)))
(+ (* y (- (/ (* (pow x 2) y) (pow z 6)) (/ x (pow z 4)))) (/ 1 (pow z 2)))
(+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 8))) (* -1 (/ (pow x 2) (pow z 6))))) (/ x (pow z 4)))) (/ 1 (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(/ 1 (* x y))
(/ (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y)
(/ (- (+ (/ 1 x) (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ (pow z 2) (* (pow x 2) y))) y)
(/ (- (+ (* -1 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ (pow z 2) (* (pow x 2) y)))) y)
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(/ 1 (* x y))
(* -1 (/ (- (/ (pow z 2) (* (pow x 2) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* (pow x 3) y)) (/ (pow z 2) (pow x 2))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* (pow x 4) y)) (/ (pow z 4) (pow x 3))) y)) (/ (pow z 2) (pow x 2))) y)) (/ 1 x)) y))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(/ 1 (pow z 2))
(+ (* -1 (/ (* x y) (pow z 4))) (/ 1 (pow z 2)))
(+ (* x (- (/ (* x (pow y 2)) (pow z 6)) (/ y (pow z 4)))) (/ 1 (pow z 2)))
(+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 8))) (* -1 (/ (pow y 2) (pow z 6))))) (/ y (pow z 4)))) (/ 1 (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(/ 1 (* x y))
(/ (+ (* -1 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)
(/ (- (+ (/ 1 y) (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ (pow z 2) (* x (pow y 2)))) x)
(/ (- (+ (* -1 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ (pow z 2) (* x (pow y 2))))) x)
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(/ 1 (* x y))
(* -1 (/ (- (/ (pow z 2) (* x (pow y 2))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow y 3))) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* x (pow y 4))) (/ (pow z 4) (pow y 3))) x)) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
Outputs
(* x y)
(*.f64 y x)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(* 3 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* x y)
(*.f64 y x)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))
(/.f64 (fma.f64 (/.f64 z (*.f64 y x)) (/.f64 z y) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(+ (* (pow z 2) (- (/ (pow z 2) (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 z (*.f64 y x)) (/.f64 z y) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (*.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))))) (/.f64 (fma.f64 (/.f64 z (*.f64 y x)) (/.f64 z y) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)))
(* x y)
(*.f64 y x)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(* 3 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 3 binary64)) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 3 binary64)) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 3 binary64)) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* 3 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 3 binary64)) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 3 binary64)) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 3 binary64)) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 3 binary64)) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 3 binary64)) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 3 binary64)) (*.f64 z z))
(* 2 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 2 binary64))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 2 binary64)) (*.f64 z z))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 2 binary64)) (*.f64 z z))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 2 binary64)) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 3 binary64)) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 3 binary64)) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 3 binary64)) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 1 binary64)) (*.f64 z z))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 1 binary64)) (*.f64 z z))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 1 binary64)) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 3 binary64)) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 3 binary64)) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 3 binary64)) (*.f64 z z))
(* 2 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 2 binary64))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 2 binary64)) (*.f64 z z))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 2 binary64)) (*.f64 z z))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 2 binary64)) (*.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ (+ 1 (* -1 (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (fma.f64 (/.f64 (neg.f64 x) z) (/.f64 y z) #s(literal 1 binary64)) (*.f64 z z))
(/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2))) (pow z 2))
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(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x) y)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64) x) y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64) x) y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64) x) y)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (/ (- (/ (pow z 2) (* (pow x 2) y)) (/ 1 x)) y))
(/.f64 (fma.f64 (/.f64 z (*.f64 y x)) (/.f64 z y) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* (pow x 3) y)) (/ (pow z 2) (pow x 2))) y)) (/ 1 x)) y))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) x) (/.f64 z x) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64)))) y) (/.f64 #s(literal 1 binary64) x)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* (pow x 4) y)) (/ (pow z 4) (pow x 3))) y)) (/ (pow z 2) (pow x 2))) y)) (/ 1 x)) y))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 (/.f64 (/.f64 z x) x) z (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) y) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) y)) y)) y)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(*.f64 (fma.f64 (/.f64 z y) z x) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(*.f64 (fma.f64 (/.f64 z y) z x) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(*.f64 (fma.f64 (/.f64 z y) z x) y)
(* 3 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(+ (* 2 (pow z 2)) (pow z 2))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(+ (* 2 (pow z 2)) (pow z 2))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(* 2 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 2 binary64))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(* 3 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* 2 (pow z 2)) (pow z 2))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(* 2 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 2 binary64))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(+ (* -1 (/ (* x y) (pow z 4))) (/ 1 (pow z 2)))
(/.f64 (fma.f64 (/.f64 (neg.f64 x) z) (/.f64 y z) #s(literal 1 binary64)) (*.f64 z z))
(+ (* x (- (/ (* x (pow y 2)) (pow z 6)) (/ y (pow z 4)))) (/ 1 (pow z 2)))
(fma.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 z #s(literal 6 binary64))) (*.f64 y y)) (/.f64 y (pow.f64 z #s(literal 4 binary64)))) x (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 8))) (* -1 (/ (pow y 2) (pow z 6))))) (/ y (pow z 4)))) (/ 1 (pow z 2)))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 x (pow.f64 z #s(literal 8 binary64))) (*.f64 (/.f64 y (pow.f64 z #s(literal 6 binary64))) y)) x (/.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64)))) x (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ y (* 3 (/ (pow z 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* x (+ y (* 3 (/ (pow z 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* x (+ y (* 3 (/ (pow z 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* x y)
(*.f64 y x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* x y)
(*.f64 y x)
(* x (+ y (* 2 (/ (pow z 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 2 binary64) y) x)
(* x (+ y (* 2 (/ (pow z 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 2 binary64) y) x)
(* x (+ y (* 2 (/ (pow z 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 2 binary64) y) x)
(* x y)
(*.f64 y x)
(* x (+ y (* 3 (/ (pow z 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* x (+ y (* 3 (/ (pow z 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* x (+ y (* 3 (/ (pow z 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* x y)
(*.f64 y x)
(* x (+ y (/ (pow z 2) x)))
(*.f64 (fma.f64 (/.f64 z x) z y) x)
(* x (+ y (/ (pow z 2) x)))
(*.f64 (fma.f64 (/.f64 z x) z y) x)
(* x (+ y (/ (pow z 2) x)))
(*.f64 (fma.f64 (/.f64 z x) z y) x)
(* x y)
(*.f64 y x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* x y)
(*.f64 y x)
(* x (+ y (* 2 (/ (pow z 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 2 binary64) y) x)
(* x (+ y (* 2 (/ (pow z 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 2 binary64) y) x)
(* x (+ y (* 2 (/ (pow z 2) x))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 2 binary64) y) x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ (+ (* -1 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)
(/.f64 (fma.f64 (/.f64 z (*.f64 y x)) (/.f64 z y) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(/ (- (+ (/ 1 y) (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ (pow z 2) (* x (pow y 2)))) x)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) (/.f64 z y) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) y)) x)
(/ (- (+ (* -1 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ (pow z 2) (* x (pow y 2))))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 (/.f64 z y) (/.f64 z y) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) x)) x)) x)
(* x y)
(*.f64 y x)
(* x (+ y (/ (pow z 2) x)))
(*.f64 (fma.f64 (/.f64 z x) z y) x)
(* x (+ y (/ (pow z 2) x)))
(*.f64 (fma.f64 (/.f64 z x) z y) x)
(* x (+ y (/ (pow z 2) x)))
(*.f64 (fma.f64 (/.f64 z x) z y) x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 2 binary64) y) x)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 2 binary64) y) x)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 2 binary64) y) x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(*.f64 (fma.f64 (/.f64 z x) z y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(*.f64 (fma.f64 (/.f64 z x) z y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(*.f64 (fma.f64 (/.f64 z x) z y) x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 2 binary64) y) x)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 2 binary64) y) x)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 2 binary64) y) x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (/ (- (/ (pow z 2) (* x (pow y 2))) (/ 1 y)) x))
(/.f64 (fma.f64 (/.f64 z (*.f64 y x)) (/.f64 z y) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow y 3))) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) (/.f64 z y) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* x (pow y 4))) (/ (pow z 4) (pow y 3))) x)) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 (/.f64 z y) (/.f64 z y) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) x)) x)) x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(*.f64 (fma.f64 (/.f64 z x) z y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(*.f64 (fma.f64 (/.f64 z x) z y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(*.f64 (fma.f64 (/.f64 z x) z y) x)

rewrite344.0ms (4.7%)

Memory
26.9MiB live, 252.8MiB allocated
Rules
6 320×lower-fma.f32
6 314×lower-fma.f64
5 156×lower-*.f32
5 150×lower-*.f64
3 994×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023136
036121
1178114
21310114
08312108
Stop Event
iter limit
node limit
iter limit
Counts
13 → 595
Calls
Call 1
Inputs
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 z z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
(*.f64 y x)
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))
(fma.f64 z z (*.f64 y x))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x y (*.f64 (neg.f64 z) z)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 z z (*.f64 (neg.f64 x) y)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (neg.f64 z) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (*.f64 (neg.f64 z) z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 z z (*.f64 (neg.f64 x) y)))
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 z z (*.f64 x y))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x y (*.f64 (neg.f64 z) z)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z z (*.f64 (neg.f64 x) y)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 z z (*.f64 x y))))
(/.f64 (fma.f64 z z (*.f64 x y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y (*.f64 (neg.f64 z) z)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (neg.f64 x) y)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (fma.f64 z z (*.f64 x y))))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 #s(literal 1 binary64) (*.f64 z z)))
(fma.f64 #s(literal 1 binary64) (*.f64 z z) (*.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 z z) #s(literal 1 binary64)))
(fma.f64 (*.f64 z z) #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal 1 binary64)))
(fma.f64 z z (*.f64 x y))
(fma.f64 x y (*.f64 z z))
(fma.f64 y x (*.f64 z z))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (neg.f64 z) z)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (neg.f64 z) z)))))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (neg.f64 x) y)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (neg.f64 x) y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z))))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z z (*.f64 x y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z z (*.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 z z (*.f64 x y))))
(+.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 z z) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (*.f64 (*.f64 x y) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 #s(literal 1 binary64) (*.f64 z z)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 x y) (*.f64 z z))
(+.f64 (*.f64 z z) (*.f64 x y))

eval256.0ms (3.5%)

Memory
-1.4MiB live, 277.2MiB allocated
Compiler

Compiled 28 511 to 2 224 computations (92.2% saved)

prune38.0ms (0.5%)

Memory
-18.2MiB live, 107.4MiB allocated
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1 14851 153
Fresh303
Picked325
Done000
Total1 15471 161
Accuracy
100.0%
Counts
1 161 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y)))
76.8%
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
99.1%
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z))
97.9%
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
93.6%
(+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z))
53.4%
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
52.9%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
Compiler

Compiled 110 to 86 computations (21.8% saved)

simplify306.0ms (4.2%)

Memory
41.5MiB live, 222.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))
cost-diff128
(+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z))
cost-diff192
(+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z))
cost-diff704
(*.f64 (fma.f64 (/.f64 z x) z y) x)
cost-diff-128
(+.f64 z z)
cost-diff0
(*.f64 x y)
cost-diff0
(fma.f64 z z (*.f64 x y))
cost-diff384
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y)))
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
cost-diff0
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 (*.f64 z z) #s(literal 3 binary64))
cost-diff0
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
cost-diff0
(*.f64 z #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
cost-diff0
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z))
Rules
11 746×lower-fma.f32
11 736×lower-fma.f64
6 580×lower-*.f32
6 568×lower-*.f64
2 164×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033215
053181
191181
2118178
3148178
4176172
5254172
6467172
71510172
82588172
93084172
103867172
114130172
124430172
134864172
145787172
156395172
08714168
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z))
y
x
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(*.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
z
#s(literal 3 binary64)
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
z
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
(*.f64 x y)
x
y
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y)))
z
(+.f64 z z)
(fma.f64 z z (*.f64 x y))
(*.f64 x y)
x
y
(+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z))
(+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z))
#s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))
(*.f64 (fma.f64 (/.f64 z x) z y) x)
(fma.f64 (/.f64 z x) z y)
(/.f64 z x)
z
x
y
(*.f64 z z)
Outputs
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z))
(fma.f64 x y (*.f64 (*.f64 #s(literal 3 binary64) z) z))
y
x
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(*.f64 (*.f64 #s(literal 3 binary64) z) z)
(*.f64 z #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) z)
z
#s(literal 3 binary64)
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) z) z)
(*.f64 z z)
z
#s(literal 3 binary64)
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
z
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
(*.f64 x y)
x
y
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y)))
(fma.f64 x y (*.f64 (*.f64 #s(literal 3 binary64) z) z))
z
(+.f64 z z)
(*.f64 #s(literal 2 binary64) z)
(fma.f64 z z (*.f64 x y))
(*.f64 x y)
x
y
(+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z))
(fma.f64 #s(literal 2 binary64) (*.f64 z z) #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (fma.f64 z z (*.f64 x y))))
(+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z))
(fma.f64 z z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (fma.f64 z z (*.f64 x y))))
#s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))
#s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (fma.f64 z z (*.f64 x y)))
(*.f64 (fma.f64 (/.f64 z x) z y) x)
(fma.f64 z z (*.f64 x y))
(fma.f64 (/.f64 z x) z y)
(/.f64 z x)
z
x
y
(*.f64 z z)

localize226.0ms (3.1%)

Memory
-39.2MiB live, 75.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.06640625
(fma.f64 (/.f64 z x) z y)
accuracy0.2539041858302058
(+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z))
accuracy0.3593729358302058
(+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z))
accuracy3.8123156212925995
(*.f64 (fma.f64 (/.f64 z x) z y) x)
accuracy0
(+.f64 z z)
accuracy0
(*.f64 x y)
accuracy0.03515625
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y)))
accuracy1.0038952404222408
(fma.f64 z z (*.f64 x y))
accuracy0
(*.f64 x y)
accuracy0.0390625
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
accuracy30.16653600367759
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
accuracy0
(*.f64 z z)
accuracy0.21484375
(*.f64 (*.f64 z z) #s(literal 3 binary64))
accuracy29.744402172397848
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
accuracy0
(*.f64 z #s(literal 3 binary64))
accuracy0.14453125
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
accuracy0.5039007452111204
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z))
Samples
210.0ms256×0valid
Compiler

Compiled 183 to 30 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 170.0ms
ival-mult: 153.0ms (89.8% of total)
ival-add: 11.0ms (6.5% of total)
ival-div: 5.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series79.0ms (1.1%)

Memory
-24.4MiB live, 49.6MiB allocated
Counts
17 → 480
Calls
Call 1
Inputs
#s(alt (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())
#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 z z) #s(literal 3 binary64)) (patch (*.f64 (*.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())
#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) (patch (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) #<representation binary64>) () ())
#s(alt (fma.f64 z z (*.f64 x y)) (patch (fma.f64 z z (*.f64 x y)) #<representation binary64>) () ())
#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (/.f64 z x) z y) x) (patch (*.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (patch (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
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#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) #s(literal 3 binary64)) (patch (*.f64 (*.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) #s(literal 3 binary64)) (patch (*.f64 (*.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) #s(literal 3 binary64)) (patch (*.f64 (*.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z z) #s(literal 3 binary64)) (patch (*.f64 (*.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (patch (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (patch #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) (patch (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) (patch (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) (patch (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) (patch (fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 z z (*.f64 x y)) (patch (fma.f64 z z (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (*.f64 x y)) (patch (fma.f64 z z (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (*.f64 x y)) (patch (fma.f64 z z (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (*.f64 x y)) (patch (fma.f64 z z (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 z x) z y) x) (patch (*.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 z x) z y) x) (patch (*.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 z x) z y) x) (patch (*.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 z x) z y) x) (patch (*.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) (patch (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (patch (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ())
#s(alt (+ y (/ (pow z 2) x)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ())
#s(alt (+ y (/ (pow z 2) x)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ())
#s(alt (+ y (/ (pow z 2) x)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ())
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#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch (fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
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#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 3 z) (taylor inf z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 z) (taylor inf z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (*.f64 (*.f64 z z) #s(literal 3 binary64)) (patch (*.f64 (*.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (patch (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (patch (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ())
#s(alt (+ y (/ (pow z 2) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ())
#s(alt (+ y (/ (pow z 2) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ())
#s(alt (+ y (/ (pow z 2) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
30.0ms
z
@-inf
((+ (* y x) (* (* z 3) z)) (* (* z 3) z) (* z 3) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (* x y) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (+ z z) (* (+ (* (/ z x) z) y) x) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (* (/ z x) z) y))
2.0ms
z
@0
((+ (* y x) (* (* z 3) z)) (* (* z 3) z) (* z 3) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (* x y) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (+ z z) (* (+ (* (/ z x) z) y) x) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (* (/ z x) z) y))
2.0ms
z
@inf
((+ (* y x) (* (* z 3) z)) (* (* z 3) z) (* z 3) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (* x y) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (+ z z) (* (+ (* (/ z x) z) y) x) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (* (/ z x) z) y))
1.0ms
x
@-inf
((+ (* y x) (* (* z 3) z)) (* (* z 3) z) (* z 3) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (* x y) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (+ z z) (* (+ (* (/ z x) z) y) x) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (* (/ z x) z) y))
1.0ms
y
@0
((+ (* y x) (* (* z 3) z)) (* (* z 3) z) (* z 3) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (* z z) (+ (+ (* x y) (* z z)) (* z z))) (+ (+ (* x y) (* z z)) (* z z)) (* x y) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (+ z z) (* (+ (* (/ z x) z) y) x) (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (* (/ z x) z) y))

simplify202.0ms (2.8%)

Memory
18.2MiB live, 201.0MiB allocated
Algorithm
egg-herbie
Rules
8 094×lower-fma.f64
8 094×lower-fma.f32
3 804×lower-*.f64
3 804×lower-*.f32
1 056×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0993114
13413114
210183114
334333114
464883114
081002817
Stop Event
iter limit
node limit
Counts
480 → 475
Calls
Call 1
Inputs
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
y
(+ y (/ (pow z 2) x))
(+ y (/ (pow z 2) x))
(+ y (/ (pow z 2) x))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(/ (pow z 2) x)
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2))))
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2))))
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(/ (pow z 2) x)
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2))))
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2))))
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(/ (pow z 2) x)
(+ y (/ (pow z 2) x))
(+ y (/ (pow z 2) x))
(+ y (/ (pow z 2) x))
(* x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
y
(* y (+ 1 (/ (pow z 2) (* x y))))
(* y (+ 1 (/ (pow z 2) (* x y))))
(* y (+ 1 (/ (pow z 2) (* x y))))
(* x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
y
(* -1 (* y (- (* -1 (/ (pow z 2) (* x y))) 1)))
(* -1 (* y (- (* -1 (/ (pow z 2) (* x y))) 1)))
(* -1 (* y (- (* -1 (/ (pow z 2) (* x y))) 1)))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(/ (pow z 2) x)
(/ (+ (* x y) (pow z 2)) x)
(/ (+ (* x y) (pow z 2)) x)
(/ (+ (* x y) (pow z 2)) x)
(* x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
y
(+ y (/ (pow z 2) x))
(+ y (/ (pow z 2) x))
(+ y (/ (pow z 2) x))
(* x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
y
(+ y (/ (pow z 2) x))
(+ y (/ (pow z 2) x))
(+ y (/ (pow z 2) x))
Outputs
(* x y)
(*.f64 y x)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* x y)
(*.f64 y x)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* x y)
(*.f64 y x)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x y)
(*.f64 y x)
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(* x y)
(*.f64 y x)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x y)
(*.f64 y x)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* x y)
(*.f64 y x)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x y)
(*.f64 y x)
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(* x y)
(*.f64 y x)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
y
(+ y (/ (pow z 2) x))
(fma.f64 (/.f64 z x) z y)
(+ y (/ (pow z 2) x))
(fma.f64 (/.f64 z x) z y)
(+ y (/ (pow z 2) x))
(fma.f64 (/.f64 z x) z y)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* 2 (pow z 2))
(*.f64 (*.f64 #s(literal 2 binary64) z) z)
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* 2 (pow z 2))
(*.f64 (*.f64 #s(literal 2 binary64) z) z)
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2))))
(fma.f64 (/.f64 z x) z y)
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2))))
(fma.f64 (/.f64 z x) z y)
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2))))
(fma.f64 (/.f64 z x) z y)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* 2 (pow z 2))
(*.f64 (*.f64 #s(literal 2 binary64) z) z)
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* 2 (pow z 2))
(*.f64 (*.f64 #s(literal 2 binary64) z) z)
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2))))
(fma.f64 (/.f64 z x) z y)
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2))))
(fma.f64 (/.f64 z x) z y)
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2))))
(fma.f64 (/.f64 z x) z y)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
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(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(* x (+ y (* 2 (/ (pow z 2) x))))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(* x (+ y (* 2 (/ (pow z 2) x))))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
y
(+ y (/ (pow z 2) x))
(fma.f64 (/.f64 z x) z y)
(+ y (/ (pow z 2) x))
(fma.f64 (/.f64 z x) z y)
(+ y (/ (pow z 2) x))
(fma.f64 (/.f64 z x) z y)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
y
(+ y (/ (pow z 2) x))
(fma.f64 (/.f64 z x) z y)
(+ y (/ (pow z 2) x))
(fma.f64 (/.f64 z x) z y)
(+ y (/ (pow z 2) x))
(fma.f64 (/.f64 z x) z y)

rewrite378.0ms (5.2%)

Memory
3.0MiB live, 246.5MiB allocated
Rules
8 806×lower-fma.f32
8 796×lower-fma.f64
3 840×lower-/.f32
3 838×lower-/.f64
3 648×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033191
053162
1265154
21970154
08248148
Stop Event
iter limit
node limit
iter limit
Counts
17 → 482
Calls
Call 1
Inputs
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(*.f64 z #s(literal 3 binary64))
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
#s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))
(*.f64 x y)
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y)))
(fma.f64 z z (*.f64 x y))
(+.f64 z z)
(*.f64 (fma.f64 (/.f64 z x) z y) x)
(+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z))
(+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z))
#s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))
(fma.f64 (/.f64 z x) z y)
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (fma.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) (*.f64 z z))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) (*.f64 z z)))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y))
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y))
(fma.f64 z (*.f64 #s(literal 3 binary64) z) (*.f64 x y))
(fma.f64 x y (*.f64 (*.f64 #s(literal 3 binary64) z) z))
(fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z))
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 x y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 x y))))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))))
(+.f64 (*.f64 x y) (*.f64 (*.f64 #s(literal 3 binary64) z) z))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) z) z) (*.f64 x y))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) z) z)
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 z (*.f64 #s(literal 3 binary64) z))
(*.f64 #s(literal 3 binary64) z)
(*.f64 z #s(literal 3 binary64))
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) z) z)
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 z (*.f64 #s(literal 3 binary64) z))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))
(*.f64 z z)
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (-.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (-.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))) (fma.f64 (/.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))) (/.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))) (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))) (/.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (*.f64 z z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 z z) #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (-.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))))
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(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)))
(fma.f64 z z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 z z) #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)))) (/.f64 (pow.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 z z) #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)))))
(-.f64 (/.f64 (pow.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #s(literal 2 binary64)) (-.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z))))
(+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z))
(+.f64 (*.f64 z z) #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)))
#s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (-.f64 (*.f64 (/.f64 z x) z) y) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 z x) z) y) (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z x) z) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 z x) z) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z x) z) y)) (/.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z x) z) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 z x) z) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 z x) z) y)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z x) z) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 z x) z) y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 (/.f64 z x) z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 z x) z) y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64))) (-.f64 y (*.f64 (/.f64 z x) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 (/.f64 z x) z) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 z x) z) y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 (/.f64 z x) z) y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 z x) z) y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 z x) z) y) (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 z x) z) y) (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64)))))
(fma.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 z x) y)
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) x) y)
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z (pow.f64 z #s(literal -1 binary64))) y)
(fma.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) y)
(fma.f64 (/.f64 z x) z y)
(fma.f64 (*.f64 z z) (pow.f64 x #s(literal -1 binary64)) y)
(fma.f64 z (/.f64 z x) y)
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (/.f64 z x) z))) (/.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (-.f64 y (*.f64 (/.f64 z x) z))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z x) z) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 z x) z) y)))
(+.f64 (*.f64 (/.f64 z x) z) y)
(+.f64 y (*.f64 (/.f64 z x) z))

eval321.0ms (4.4%)

Memory
15.7MiB live, 211.6MiB allocated
Compiler

Compiled 19 070 to 1 544 computations (91.9% saved)

prune30.0ms (0.4%)

Memory
-5.4MiB live, 84.1MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1 01541 019
Fresh000
Picked235
Done112
Total1 01881 026
Accuracy
100.0%
Counts
1 026 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.1%
(fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)))
53.5%
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z)))
77.4%
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x)))
76.8%
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
99.1%
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z))
53.4%
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
53.4%
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
52.9%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
Compiler

Compiled 63 to 56 computations (11.1% saved)

simplify225.0ms (3.1%)

Memory
17.5MiB live, 204.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))
cost-diff0
(*.f64 #s(literal 2 binary64) z)
cost-diff0
(fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)))
cost-diff704
(*.f64 (fma.f64 (/.f64 z x) z y) x)
cost-diff-128
(+.f64 z z)
cost-diff0
(*.f64 z z)
cost-diff0
#s(approx (+ (* z z) (* x y)) (*.f64 z z))
cost-diff0
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z)))
cost-diff-128
(+.f64 z z)
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (+ (* z z) (* x y)) (*.f64 y x))
cost-diff0
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x)))
cost-diff0
(*.f64 z #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
cost-diff0
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
Rules
12 162×lower-fma.f32
12 154×lower-fma.f64
6 580×lower-*.f32
6 568×lower-*.f64
2 164×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031174
046160
176160
2114156
3152156
4182153
5257153
6472153
71496153
82552153
93051153
103829153
114094153
124394153
134866153
145815153
156407153
08711143
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(*.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x)))
z
(+.f64 z z)
#s(approx (+ (* z z) (* x y)) (*.f64 y x))
(*.f64 y x)
y
x
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z)))
z
(+.f64 z z)
#s(approx (+ (* z z) (* x y)) (*.f64 z z))
(*.f64 z z)
(fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
#s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))
(*.f64 (fma.f64 (/.f64 z x) z y) x)
(fma.f64 (/.f64 z x) z y)
(/.f64 z x)
x
y
Outputs
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(*.f64 (*.f64 #s(literal 3 binary64) z) z)
(*.f64 z #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) z)
z
#s(literal 3 binary64)
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x)))
(fma.f64 #s(literal 2 binary64) (*.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))
z
(+.f64 z z)
(*.f64 #s(literal 2 binary64) z)
#s(approx (+ (* z z) (* x y)) (*.f64 y x))
#s(approx (+ (* z z) (* x y)) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z)))
(fma.f64 #s(literal 2 binary64) (*.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z)))
z
(+.f64 z z)
(*.f64 #s(literal 2 binary64) z)
#s(approx (+ (* z z) (* x y)) (*.f64 z z))
(*.f64 z z)
(fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)))
(fma.f64 #s(literal 2 binary64) (*.f64 z z) #s(approx (+ (* z z) (* x y)) (fma.f64 x y (*.f64 z z))))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
#s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))
#s(approx (+ (* z z) (* x y)) (fma.f64 x y (*.f64 z z)))
(*.f64 (fma.f64 (/.f64 z x) z y) x)
(fma.f64 x y (*.f64 z z))
(fma.f64 (/.f64 z x) z y)
(/.f64 z x)
x
y

localize69.0ms (1%)

Memory
-6.5MiB live, 155.7MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
#s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))
accuracy0.03515625
(fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)))
accuracy0.06640625
(fma.f64 (/.f64 z x) z y)
accuracy3.8123156212925995
(*.f64 (fma.f64 (/.f64 z x) z y) x)
accuracy0
(+.f64 z z)
accuracy0
(*.f64 z z)
accuracy0.03515625
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z)))
accuracy29.74534565195326
#s(approx (+ (* z z) (* x y)) (*.f64 z z))
accuracy0
(+.f64 z z)
accuracy0
(*.f64 y x)
accuracy0.03515625
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x)))
accuracy30.157525686121364
#s(approx (+ (* z z) (* x y)) (*.f64 y x))
accuracy0
(*.f64 z #s(literal 3 binary64))
accuracy0.14453125
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
accuracy29.744402172397848
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
Samples
55.0ms256×0valid
Compiler

Compiled 141 to 29 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-add: 19.0ms (45.8% of total)
ival-mult: 17.0ms (41% of total)
ival-div: 5.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series40.0ms (0.5%)

Memory
-15.1MiB live, 23.7MiB allocated
Counts
15 → 408
Calls
Call 1
Inputs
#s(alt #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) z) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())
#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z z) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* z z) (* x y)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())
#s(alt (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) (patch (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z z) (* x y)) (*.f64 z z)) (patch #s(approx (+ (* z z) (* x y)) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (/.f64 z x) z y) x) (patch (*.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) z) (patch (*.f64 #s(literal 2 binary64) z) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
((+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* y x) (+ z z) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* z z) (* (+ (* (/ z x) z) y) x) (+ (* (* 2 z) z) (/ 1 (/ 1 (+ (* z z) (* y x))))) (* 2 z) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (* (/ z x) z) y))
2.0ms
z
@inf
((+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* y x) (+ z z) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* z z) (* (+ (* (/ z x) z) y) x) (+ (* (* 2 z) z) (/ 1 (/ 1 (+ (* z z) (* y x))))) (* 2 z) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (* (/ z x) z) y))
1.0ms
z
@0
((+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* y x) (+ z z) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* z z) (* (+ (* (/ z x) z) y) x) (+ (* (* 2 z) z) (/ 1 (/ 1 (+ (* z z) (* y x))))) (* 2 z) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (* (/ z x) z) y))
1.0ms
x
@-inf
((+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* y x) (+ z z) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* z z) (* (+ (* (/ z x) z) y) x) (+ (* (* 2 z) z) (/ 1 (/ 1 (+ (* z z) (* y x))))) (* 2 z) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (* (/ z x) z) y))
1.0ms
y
@-inf
((+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* y x) (+ z z) (+ (* z (+ z z)) (+ (* z z) (* x y))) (+ (* z z) (* x y)) (* z z) (* (+ (* (/ z x) z) y) x) (+ (* (* 2 z) z) (/ 1 (/ 1 (+ (* z z) (* y x))))) (* 2 z) (/ 1 (/ 1 (+ (* z z) (* y x)))) (+ (* (/ z x) z) y))

simplify235.0ms (3.2%)

Memory
9.5MiB live, 110.4MiB allocated
Algorithm
egg-herbie
Rules
6 826×lower-fma.f64
6 826×lower-fma.f32
3 256×lower-*.f64
3 256×lower-*.f32
1 288×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0682472
12292472
26882472
324772472
457042472
080792229
Stop Event
iter limit
node limit
Counts
408 → 403
Calls
Call 1
Inputs
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
y
(+ y (/ (pow z 2) x))
(+ y (/ (pow z 2) x))
(+ y (/ (pow z 2) x))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(/ (pow z 2) x)
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2))))
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2))))
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(/ (pow z 2) x)
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2))))
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2))))
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2))))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* x y)
(* x y)
(* x y)
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(/ (pow z 2) x)
(+ y (/ (pow z 2) x))
(+ y (/ (pow z 2) x))
(+ y (/ (pow z 2) x))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
y
(* y (+ 1 (/ (pow z 2) (* x y))))
(* y (+ 1 (/ (pow z 2) (* x y))))
(* y (+ 1 (/ (pow z 2) (* x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
y
(* -1 (* y (- (* -1 (/ (pow z 2) (* x y))) 1)))
(* -1 (* y (- (* -1 (/ (pow z 2) (* x y))) 1)))
(* -1 (* y (- (* -1 (/ (pow z 2) (* x y))) 1)))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* x y)
(* x y)
(* x y)
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(/ (pow z 2) x)
(/ (+ (* x y) (pow z 2)) x)
(/ (+ (* x y) (pow z 2)) x)
(/ (+ (* x y) (pow z 2)) x)
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
y
(+ y (/ (pow z 2) x))
(+ y (/ (pow z 2) x))
(+ y (/ (pow z 2) x))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
y
(+ y (/ (pow z 2) x))
(+ y (/ (pow z 2) x))
(+ y (/ (pow z 2) x))
Outputs
(* x y)
(*.f64 y x)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* x y)
(*.f64 y x)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x y)
(*.f64 y x)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* x y)
(*.f64 y x)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x y)
(*.f64 y x)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* x y)
(*.f64 y x)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(+ (* 3 (pow z 2)) (* x y))
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(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 2 (pow z 2)) (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(+ (* 2 (pow z 2)) (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* 2 (pow z 2)) (pow z 2))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 y x))
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (+ (* x y) (pow z 2)) x)
(/.f64 (fma.f64 z z (*.f64 y x)) x)
(/ (+ (* x y) (pow z 2)) x)
(/.f64 (fma.f64 z z (*.f64 y x)) x)
(/ (+ (* x y) (pow z 2)) x)
(/.f64 (fma.f64 z z (*.f64 y x)) x)
(* x y)
(*.f64 y x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 y x))
y
(+ y (/ (pow z 2) x))
(fma.f64 (/.f64 z x) z y)
(+ y (/ (pow z 2) x))
(fma.f64 (/.f64 z x) z y)
(+ y (/ (pow z 2) x))
(fma.f64 (/.f64 z x) z y)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 y x))
y
(+ y (/ (pow z 2) x))
(fma.f64 (/.f64 z x) z y)
(+ y (/ (pow z 2) x))
(fma.f64 (/.f64 z x) z y)
(+ y (/ (pow z 2) x))
(fma.f64 (/.f64 z x) z y)

rewrite360.0ms (4.9%)

Memory
10.6MiB live, 321.3MiB allocated
Rules
8 516×lower-fma.f32
8 508×lower-fma.f64
4 750×lower-*.f32
4 738×lower-*.f64
4 088×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031158
046144
1203139
21431139
08624128
Stop Event
iter limit
node limit
iter limit
Counts
15 → 368
Calls
Call 1
Inputs
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(*.f64 z #s(literal 3 binary64))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x)))
#s(approx (+ (* z z) (* x y)) (*.f64 y x))
(*.f64 y x)
(+.f64 z z)
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z)))
#s(approx (+ (* z z) (* x y)) (*.f64 z z))
(*.f64 z z)
(*.f64 (fma.f64 (/.f64 z x) z y) x)
(fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)))
(*.f64 #s(literal 2 binary64) z)
#s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x))
(fma.f64 (/.f64 z x) z y)
Outputs
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))
(*.f64 (*.f64 #s(literal 3 binary64) z) z)
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(*.f64 z (*.f64 #s(literal 3 binary64) z))
(*.f64 #s(literal 3 binary64) z)
(*.f64 z #s(literal 3 binary64))
(*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (-.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y))) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (-.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) z (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))) (fma.f64 (/.f64 (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))) (/.f64 (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))) (/.f64 (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (*.f64 z z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (+.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (*.f64 z z)) (+.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (*.f64 z z)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (+.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (*.f64 z z)) (*.f64 z z)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 z z #s(approx (+ (* z z) (* x y)) (*.f64 x y))) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 z z #s(approx (+ (* z z) (* x y)) (*.f64 x y))) (fma.f64 z z #s(approx (+ (* z z) (* x y)) (*.f64 x y)))) (*.f64 (*.f64 z z) (fma.f64 z z #s(approx (+ (* z z) (* x y)) (*.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (*.f64 #s(literal 2 binary64) z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (-.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y))) (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y))) (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) z (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (-.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 #s(approx (+ (* z z) (* x y)) (*.f64 x y)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* z z) (* x y)) (*.f64 x y))))
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(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) z)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) z))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 z z))
(fma.f64 z z (*.f64 z z))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 (*.f64 z z) #s(literal 0 binary64)) (/.f64 (*.f64 z z) #s(literal 0 binary64)))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 3 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 3 binary64) (*.f64 (log.f64 z) #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 3 binary64)))
(+.f64 (*.f64 z z) (*.f64 z z))
(+.f64 z z)
#s(approx (+ (* z z) (* x y)) (*.f64 (fma.f64 (/.f64 z x) z y) x))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (-.f64 (*.f64 (/.f64 z x) z) y) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 z x) z) y) (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z x) z) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 z x) z) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z x) z) y)) (/.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z x) z) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 z x) z) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 z x) z) y)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z x) z) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 z x) z) y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 (/.f64 z x) z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 z x) z) y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z x) z) y)) (*.f64 (-.f64 (*.f64 (/.f64 z x) z) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 (/.f64 z x) z) y) (-.f64 (*.f64 (/.f64 z x) z) y)))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64))) (-.f64 y (*.f64 (/.f64 z x) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 (/.f64 z x) z) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 z x) z) y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 (/.f64 z x) z) y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 z x) z) y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 z x) z) y) (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 z x) z) y) (-.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 z x) z)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 3 binary64)))))
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) x) y)
(fma.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 z x) y)
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z (pow.f64 z #s(literal -1 binary64))) y)
(fma.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) y)
(fma.f64 (/.f64 z x) z y)
(fma.f64 (*.f64 z z) (pow.f64 x #s(literal -1 binary64)) y)
(fma.f64 z (/.f64 z x) y)
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (/.f64 z x) z))) (/.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (-.f64 y (*.f64 (/.f64 z x) z))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z x) z) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 z x) z) y)))
(+.f64 (*.f64 (/.f64 z x) z) y)
(+.f64 y (*.f64 (/.f64 z x) z))

eval155.0ms (2.1%)

Memory
-10.3MiB live, 255.7MiB allocated
Compiler

Compiled 13 519 to 1 044 computations (92.3% saved)

prune90.0ms (1.2%)

Memory
-22.7MiB live, 113.2MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New8501851
Fresh000
Picked134
Done044
Total8518859
Accuracy
100.0%
Counts
859 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.1%
(fma.f64 (+.f64 z z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)))
53.5%
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z)))
77.4%
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x)))
76.8%
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
99.1%
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z))
53.4%
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
53.4%
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
52.9%
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
Compiler

Compiled 251 to 106 computations (57.8% saved)

regimes44.0ms (0.6%)

Memory
7.0MiB live, 85.8MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x)))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z))
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y)))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x)))
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
(fma.f64 (+.f64 z z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)))
(fma.f64 (*.f64 #s(literal 2 binary64) z) z #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)))
(+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* z z) (* y x)))) (*.f64 (fma.f64 (/.f64 z x) z y) x)) (*.f64 z z)) (*.f64 z z))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) (*.f64 z z)) (*.f64 z z))
Outputs
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z))
Calls

6 calls:

11.0ms
x
8.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
6.0ms
y
6.0ms
z
6.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
99.1%1x
99.1%1y
99.1%1z
99.1%1(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
99.1%1(*.f64 x y)
99.1%1(*.f64 z z)
Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes28.0ms (0.4%)

Memory
22.7MiB live, 58.4MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x)))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z)))
Outputs
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z)))
Calls

6 calls:

8.0ms
z
4.0ms
x
4.0ms
y
4.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
4.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
99.1%1x
99.1%1y
99.1%1z
99.1%1(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
99.1%1(*.f64 x y)
99.1%1(*.f64 z z)
Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes28.0ms (0.4%)

Memory
-24.7MiB live, 50.6MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x)))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)))
Calls

6 calls:

6.0ms
x
6.0ms
(*.f64 x y)
4.0ms
y
4.0ms
z
4.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
Results
AccuracySegmentsBranch
98.3%1x
98.3%1y
98.3%1z
98.3%1(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
98.3%1(*.f64 x y)
98.3%1(*.f64 z z)
Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes26.0ms (0.4%)

Memory
-2.5MiB live, 40.8MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x)))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z)))
Outputs
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x)))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z)))
Calls

6 calls:

10.0ms
x
3.0ms
y
3.0ms
z
3.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
3.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
82.3%3x
82.0%3y
86.6%2z
77.4%1(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
84.3%3(*.f64 x y)
86.6%2(*.f64 z z)
Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes6.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z))
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x)))
Outputs
(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x)))
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
Calls

2 calls:

3.0ms
z
3.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
86.5%2z
86.5%2(*.f64 z z)
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes5.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
(+.f64 #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 y x)) (*.f64 z z))
Outputs
(fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y)))
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
Calls

2 calls:

3.0ms
z
2.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
86.3%2z
86.3%2(*.f64 z z)
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes4.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
Calls

2 calls:

2.0ms
z
2.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
85.4%2z
85.4%2(*.f64 z z)
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes7.0ms (0.1%)

Memory
-29.0MiB live, 7.5MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
Calls

2 calls:

5.0ms
z
1.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
85.3%2z
85.3%2(*.f64 z z)
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes8.0ms (0.1%)

Memory
24.2MiB live, 24.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

1.0ms
z
1.0ms
x
1.0ms
y
1.0ms
(*.f64 x y)
1.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
Results
AccuracySegmentsBranch
52.9%1(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
52.9%1y
52.9%1x
52.9%1(*.f64 x y)
52.9%1z
52.9%1(*.f64 z z)
Compiler

Compiled 24 to 25 computations (-4.2% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1815030418135915e+20
1.9294892490572007e+27
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1815030418135915e+20
1.9294892490572007e+27
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1815030418135915e+20
1.9294892490572007e+27
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1815030418135915e+20
1.9294892490572007e+27
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch17.0ms (0.2%)

Memory
2.3MiB live, 39.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
1.1815030418135915e+20
1.9294892490572007e+27
Samples
5.0ms125×0valid
1.0ms2valid
1.0ms1valid
0.0ms3valid
Compiler

Compiled 86 to 131 computations (-52.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 2.0ms (47.8% of total)
adjust: 1.0ms (23.9% of total)
ival-mult: 1.0ms (23.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify26.0ms (0.4%)

Memory
10.1MiB live, 48.1MiB allocated
Algorithm
egg-herbie
Rules
*-commutative-binary64-*.f64
1-exp-binary32-exp.f32
1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047289
154289
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z))
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)))
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))))
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (*.f64 z z) #s(literal 1220000000000000054693724160 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
Outputs
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z))
(fma.f64 y x (*.f64 (*.f64 #s(literal 3 binary64) z) z))
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(fma.f64 y x (*.f64 (*.f64 z z) #s(literal 3 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 x y)))
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))))
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 x y))) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 z z))))
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 y x))) #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* x y)) (*.f64 x y))) #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) (fma.f64 z z #s(approx (+ (+ (* x y) (* z z)) (* z z)) (*.f64 x y))) #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (*.f64 z z) #s(literal 200000000000000000000 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y)) #s(approx (+ (+ (/ 1 (/ 1 (+ (* z z) (* y x)))) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 (*.f64 z z) #s(literal 1220000000000000054693724160 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))))
(if (<=.f64 (*.f64 z z) #s(literal 1220000000000000054693724160 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))

soundness1.4s (19.6%)

Memory
-9.6MiB live, 878.6MiB allocated
Rules
11 550×lower-fma.f64
11 550×lower-fma.f32
10 458×lower-fma.f64
10 458×lower-fma.f32
8 096×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02493786
17803754
223233714
379693702
091643446
0993114
13413114
210183114
334333114
464883114
081002817
070844
1244844
2750844
32131844
45841844
08161763
023136
036121
1178114
21310114
08312108
0836
01336
15532
251726
3758026
0818423
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 870 to 352 computations (59.5% saved)

preprocess88.0ms (1.2%)

Memory
-13.1MiB live, 144.0MiB allocated
Remove

(sort x y)

(abs z)

Compiler

Compiled 458 to 236 computations (48.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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