Numeric.Integration.TanhSinh:everywhere from integration-0.2.1

Time bar (total: 6.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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 9 to 8 computations (11.1% saved)

sample845.0ms (12.7%)

Memory
9.8MiB live, 1 004.8MiB allocated
Samples
504.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 230.0ms
ival-mult: 132.0ms (57.4% of total)
ival-add: 83.0ms (36.1% of total)
ival-true: 6.0ms (2.6% of total)
exact: 5.0ms (2.2% of total)
ival-assert: 3.0ms (1.3% of total)
Bogosity

explain70.0ms (1.1%)

Memory
0.8MiB live, 123.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
170-0-(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(*.f64 y y)
00-0-(+.f64 #s(literal 1 binary64) (*.f64 y y))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))n*o170
Confusion
Predicted +Predicted -
+170
-0239
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1700
-00239
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0239
117
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
26.0ms512×0valid
Compiler

Compiled 49 to 22 computations (55.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 9.0ms (74.9% of total)
ival-add: 2.0ms (16.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess27.0ms (0.4%)

Memory
10.7MiB live, 10.7MiB allocated
Algorithm
egg-herbie
Rules
79×associate-*r*
62×distribute-lft-in
56×unsub-neg
46×associate-*l*
41×distribute-lft-neg-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01637
16537
219435
346335
463935
576235
678935
067
097
1197
2277
3497
4497
0496
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(fma.f64 (*.f64 y x) y x)
Symmetry

(abs y)

(negabs x)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune43.0ms (0.6%)

Memory
-36.4MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 y y))
Rules
23×lower-*.f32
21×lower-*.f64
11×lower-fma.f64
11×lower-fma.f32
associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11918
22718
34918
44918
04916
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
x
(+.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(fma.f64 (*.f64 y x) y x)
x
(+.f64 #s(literal 1 binary64) (*.f64 y y))
(fma.f64 y y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y y)
y

localize17.0ms (0.3%)

Memory
17.1MiB live, 17.1MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy0
(*.f64 y y)
accuracy4.0120557967757575
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
Samples
11.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (61.1% of total)
ival-add: 1.0ms (20.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
3 → 48
Calls
Call 1
Inputs
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
Calls

12 calls:

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

simplify550.0ms (8.3%)

Memory
13.8MiB live, 203.5MiB allocated
Algorithm
egg-herbie
Rules
4 532×lower-fma.f64
4 532×lower-fma.f32
3 287×lower-*.f64
3 287×lower-*.f32
1 234×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015246
142246
274246
3212246
4695246
51887246
62663246
73730246
85074246
95970246
106935246
117278246
127397246
137474246
147543246
157690246
08226216
Stop Event
iter limit
node limit
Counts
48 → 47
Calls
Call 1
Inputs
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
Outputs
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
x
(+ x (* x (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(+ x (* x (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(+ x (* x (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

rewrite306.0ms (4.6%)

Memory
-18.3MiB live, 425.4MiB allocated
Rules
2 588×lower-fma.f64
2 588×lower-fma.f32
2 441×lower-/.f64
2 441×lower-/.f32
2 123×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13415
220915
3140415
0826913
Stop Event
iter limit
node limit
iter limit
Counts
3 → 368
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 y y)
Outputs
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y))) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y))) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (neg.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y))) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y))) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y))) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64))) (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (neg.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) (fma.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (neg.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y))))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) #s(literal 1 binary64))) (fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y))) (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))))
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(*.f64 y y)
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eval72.0ms (1.1%)

Memory
23.9MiB live, 61.8MiB allocated
Compiler

Compiled 15 373 to 1 104 computations (92.8% saved)

prune99.0ms (1.5%)

Memory
-14.6MiB live, 101.8MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4096415
Fresh000
Picked101
Done000
Total4106416
Accuracy
100.0%
Counts
416 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 x y) y x)
34.7%
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 y y)) y) (*.f64 x y) (neg.f64 (*.f64 x x))) (fma.f64 x (*.f64 y y) (neg.f64 x)))
93.7%
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
93.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
46.5%
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
51.1%
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
Compiler

Compiled 138 to 74 computations (46.4% saved)

simplify8.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y y #s(literal 1 binary64))
cost-diff0
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
cost-diff0
(fma.f64 y y #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
cost-diff1088
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
cost-diff0
(*.f64 y y)
cost-diff0
#s(approx (+ 1 (* y y)) (*.f64 y y))
cost-diff0
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
cost-diff0
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
cost-diff0
(*.f64 x y)
cost-diff0
(fma.f64 (*.f64 x y) y x)
Rules
43×lower-*.f32
38×lower-*.f64
28×lower-/.f32
24×lower-/.f64
13×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018106
03096
15396
27396
313196
414696
515196
015196
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
x
y
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
x
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
x
#s(approx (+ 1 (* y y)) (*.f64 y y))
(*.f64 y y)
y
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 y y #s(literal 1 binary64))
y
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
x
(fma.f64 y y #s(literal 1 binary64))
y
Outputs
(fma.f64 (*.f64 x y) y x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
(*.f64 #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) x)
x
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
(*.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) x)
x
#s(approx (+ 1 (* y y)) (*.f64 y y))
(*.f64 y y)
y
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 y y #s(literal 1 binary64))
y
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
x
(fma.f64 y y #s(literal 1 binary64))
y

localize86.0ms (1.3%)

Memory
4.8MiB live, 43.3MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 y y #s(literal 1 binary64))
accuracy0.1640625
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
accuracy0.22827541114846486
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
accuracy4.0120557967757575
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
accuracy0
(fma.f64 y y #s(literal 1 binary64))
accuracy0.4198742199699388
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
accuracy3.694289700809961
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
accuracy0
(*.f64 y y)
accuracy4.0120557967757575
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
accuracy30.447326778346074
#s(approx (+ 1 (* y y)) (*.f64 y y))
accuracy4.0120557967757575
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
accuracy31.550044291927367
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
accuracy0
(*.f64 x y)
accuracy0.05859375
(fma.f64 (*.f64 x y) y x)
Samples
29.0ms256×0valid
Compiler

Compiled 104 to 17 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 7.0ms (39.1% of total)
ival-mult: 7.0ms (39.1% of total)
ival-add: 3.0ms (16.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series57.0ms (0.9%)

Memory
-26.1MiB live, 10.6MiB allocated
Counts
13 → 252
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* y y)) (*.f64 y y)) (patch #s(approx (+ 1 (* y y)) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 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 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 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 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 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 (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
Calls

63 calls:

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

simplify222.0ms (3.3%)

Memory
6.2MiB live, 293.0MiB allocated
Algorithm
egg-herbie
Rules
7 760×lower-fma.f64
7 760×lower-fma.f32
1 708×lower-*.f64
1 708×lower-*.f32
1 521×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0681676
11781672
24531664
315121648
437631634
082991459
Stop Event
iter limit
node limit
Counts
252 → 246
Calls
Call 1
Inputs
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (pow y 2) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1)))
(/ 1 (pow y 2))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(/ 1 (pow y 2))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 x)
(+ (* -1 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
Outputs
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x 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)
(*.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)
(*.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)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(fma.f64 (neg.f64 y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (pow y 2) 1)))
(fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1)))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y))) (*.f64 y y))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y))) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y))) (*.f64 y y))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y))) (*.f64 y y))
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ (pow y 2) x)) (/ 1 x))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) y) y #s(literal 1 binary64)))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x)) (fma.f64 y y #s(literal -1 binary64)))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x)) (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (*.f64 y y))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x)) (fma.f64 y y #s(literal -1 binary64)))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x)) (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (*.f64 y y))
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)

rewrite266.0ms (4%)

Memory
24.8MiB live, 504.5MiB allocated
Rules
2 216×lower-fma.f32
2 214×lower-fma.f64
1 786×lower-*.f32
1 781×lower-*.f64
1 326×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01890
03080
111580
267280
3643280
0880580
Stop Event
iter limit
node limit
iter limit
Counts
13 → 1 319
Calls
Call 1
Inputs
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
#s(approx (+ 1 (* y y)) (*.f64 y y))
(*.f64 y y)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64))) x) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64)) x) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal -1 binary64))) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64)) x) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal -1 binary64)))) (*.f64 y (*.f64 y (fma.f64 y y #s(literal -1 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (fma.f64 y y #s(literal -1 binary64))))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) x) (fma.f64 (*.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal -1 binary64)))) (*.f64 y (*.f64 y (fma.f64 y y #s(literal -1 binary64))))) (*.f64 y (*.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal 1 binary64))) (fma.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) x) (*.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) y (fma.f64 y y #s(literal -1 binary64))))) (fma.f64 (*.f64 (*.f64 y y) y) y (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) x) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y))))
(*.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) x) (*.f64 (*.f64 (neg.f64 x) x) x))) (fma.f64 x (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 y x) x) (*.f64 (*.f64 (*.f64 y x) x) y)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)) (fma.f64 y y #s(literal 1 binary64))) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y x)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))))) (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y x)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
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(/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y x)))) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))
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(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)) (fma.f64 y y #s(literal 1 binary64))) x) (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) x) (*.f64 (*.f64 (neg.f64 x) x) x))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) x) (*.f64 (*.f64 (neg.f64 x) x) x))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) x)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) x)))))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (*.f64 y x) x)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 (neg.f64 y) (*.f64 y x) x))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)))))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) x) (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) (*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)) (fma.f64 y y #s(literal 1 binary64))) x) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)) (fma.f64 y y #s(literal 1 binary64))) x) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)) (fma.f64 y y #s(literal 1 binary64))) x) (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
(/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 1 binary64))
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) x) (*.f64 (*.f64 (neg.f64 x) x) x))) (fma.f64 x (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 y x) x) (*.f64 (*.f64 (*.f64 y x) x) y)) (neg.f64 (*.f64 x (/.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (neg.f64 (*.f64 x (/.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))))
(fma.f64 (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y y)) (/.f64 y (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (*.f64 x (/.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) y) x) (/.f64 (*.f64 y x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (*.f64 x (/.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))))
(fma.f64 (*.f64 (neg.f64 y) (*.f64 y x)) #s(literal -1 binary64) x)
(fma.f64 (*.f64 (neg.f64 y) y) (neg.f64 x) x)
(fma.f64 (*.f64 (*.f64 (*.f64 y x) x) y) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (*.f64 x (/.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (*.f64 x (/.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (*.f64 x (/.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 y) y) x)
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 x)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (*.f64 y y) x))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (*.f64 y x)) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 y y) x))
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (*.f64 x (/.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64) x)
(fma.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 (*.f64 y x) x) y) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (*.f64 x (/.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))))
(fma.f64 (*.f64 y y) x x)
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y y) x))
(fma.f64 (*.f64 y x) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (*.f64 x (/.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))))
(fma.f64 (*.f64 y x) y x)
(fma.f64 y (/.f64 (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y y)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (*.f64 x (/.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))))
(fma.f64 y (*.f64 y x) x)
(fma.f64 x (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y x)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (*.f64 x (/.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))))
(fma.f64 x (*.f64 y y) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 x)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y y) x))
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y y)) (/.f64 y (*.f64 x (fma.f64 y y #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 (*.f64 x (/.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y y)) (/.f64 y (*.f64 x (fma.f64 y y #s(literal -1 binary64))))) (*.f64 x (/.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
(+.f64 (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 x)) x)
(+.f64 (*.f64 (*.f64 (neg.f64 y) (*.f64 y x)) #s(literal -1 binary64)) x)
(+.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)) x)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (*.f64 y x))) x)
(+.f64 (neg.f64 (*.f64 (neg.f64 y) (*.f64 y x))) x)
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) x) (*.f64 y y)) (/.f64 y (*.f64 x (fma.f64 y y #s(literal -1 binary64))))) (neg.f64 (*.f64 x (/.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))))
(+.f64 (*.f64 (*.f64 y y) x) x)
(+.f64 x (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 x)))
(+.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)))
(+.f64 x (*.f64 (*.f64 y y) x))

eval235.0ms (3.5%)

Memory
1.2MiB live, 334.7MiB allocated
Compiler

Compiled 44 501 to 2 705 computations (93.9% saved)

prune205.0ms (3.1%)

Memory
-25.6MiB live, 326.3MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1 71231 715
Fresh101
Picked235
Done000
Total1 71561 721
Accuracy
100.0%
Counts
1 721 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x)
99.9%
(fma.f64 (*.f64 x y) y x)
46.4%
(/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
46.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))))
46.5%
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
51.1%
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
Compiler

Compiled 54 to 31 computations (42.6% saved)

simplify7.0ms (0.1%)

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

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x)
cost-diff1088
(/.f64 y (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 y y)
cost-diff0
#s(approx (+ 1 (* y y)) (*.f64 y y))
cost-diff1088
(/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (+ (* y y) 1) (*.f64 y y))
cost-diff0
(*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))))
Rules
37×lower-*.f32
35×lower-*.f64
25×lower-/.f32
20×lower-/.f64
12×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016104
02698
14294
26494
39094
411994
513094
613194
013188
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))
(*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))
x
#s(approx (+ (* y y) 1) (*.f64 y y))
(*.f64 y y)
y
(/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ 1 (* y y)) (*.f64 y y))
(*.f64 y y)
y
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x)
(/.f64 y (/.f64 #s(literal 1 binary64) x))
y
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))))
(*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))
(*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))
(*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)
x
#s(approx (+ (* y y) 1) (*.f64 y y))
(*.f64 y y)
y
(/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)
#s(approx (+ 1 (* y y)) (*.f64 y y))
#s(approx (+ (* y y) 1) (*.f64 y y))
(*.f64 y y)
y
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 y x)
y
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize49.0ms (0.7%)

Memory
6.0MiB live, 81.5MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0.05859375
(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x)
accuracy0.18359375
(/.f64 y (/.f64 #s(literal 1 binary64) x))
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0
(*.f64 y y)
accuracy4.1448682967757575
(/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
accuracy30.447326778346074
#s(approx (+ 1 (* y y)) (*.f64 y y))
accuracy0.1640625
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))))
accuracy0.22827541114846486
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))
accuracy4.0120557967757575
(*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))
accuracy30.447326778346074
#s(approx (+ (* y y) 1) (*.f64 y y))
Samples
29.0ms256×0valid
Compiler

Compiled 83 to 16 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 8.0ms (46.9% of total)
ival-mult: 5.0ms (29.3% of total)
ival-add: 4.0ms (23.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-23.7MiB live, 14.9MiB allocated
Counts
10 → 192
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) (patch (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y y) 1) (*.f64 y y)) (patch #s(approx (+ (* y y) 1) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* y y)) (*.f64 y y)) (patch #s(approx (+ 1 (* y y)) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())
Outputs
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow y 2) x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow y 2))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow y 2))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) (patch (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) (patch (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) (patch (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) (patch (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor -inf y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
Calls

48 calls:

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

simplify882.0ms (13.3%)

Memory
32.8MiB live, 271.5MiB allocated
Algorithm
egg-herbie
Rules
10 982×lower-fma.f64
10 982×lower-fma.f32
1 589×lower-*.f64
1 589×lower-*.f32
1 029×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0501196
11301194
23271190
311251180
445961164
083991041
Stop Event
iter limit
node limit
Counts
192 → 188
Calls
Call 1
Inputs
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 x)
(+ (* -1 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
Outputs
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ (pow y 2) x)) (/ 1 x))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) y)) (fma.f64 y y #s(literal -1 binary64)))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) y)) (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (*.f64 y y))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) y)) (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (*.f64 y y))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) y)) (fma.f64 y y #s(literal -1 binary64)))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) y)) (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (*.f64 y y))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) y)) (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (*.f64 y y))
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x 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)
(*.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)
(*.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)
(*.f64 y x)
(* x y)
(*.f64 y x)
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)

rewrite225.0ms (3.4%)

Memory
-23.2MiB live, 215.7MiB allocated
Rules
2 380×lower-fma.f32
2 379×lower-fma.f64
1 715×lower-*.f32
1 713×lower-*.f64
1 303×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01689
02683
110979
262279
3629979
0817673
Stop Event
iter limit
node limit
iter limit
Counts
10 → 378
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))
(*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))
#s(approx (+ (* y y) 1) (*.f64 y y))
(/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ 1 (* y y)) (*.f64 y y))
(*.f64 y y)
(/.f64 #s(literal 1 binary64) x)
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x)
Outputs
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 x) (neg.f64 #s(approx (+ (* y y) 1) (*.f64 y y))))
(*.f64 (neg.f64 #s(approx (+ (* y y) 1) (*.f64 y y))) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) #s(approx (+ (* y y) 1) (*.f64 y y))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (+ (* y y) 1) (*.f64 y y))))
(*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)
(*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1 binary64))
(*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))
(pow.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y)))))
(/.f64 (neg.f64 #s(approx (+ (* y y) 1) (*.f64 y y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (neg.f64 x) #s(approx (+ (* y y) 1) (*.f64 y y))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)))
(/.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal 1 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)))
(neg.f64 (*.f64 (neg.f64 x) #s(approx (+ (* y y) 1) (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (neg.f64 x) #s(approx (+ (* y y) 1) (*.f64 y y))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) #s(approx (+ (* y y) 1) (*.f64 y y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(approx (+ (* y y) 1) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(approx (+ (* y y) 1) (*.f64 y y))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y)))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(approx (+ (* y y) 1) (*.f64 y y))))
(*.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)))
(pow.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) x))) #s(literal 1/2 binary64))
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(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 y) y))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y y))) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (*.f64 (/.f64 #s(literal -1 binary64) x) y)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))))
(/.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x) x (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x) x (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (*.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) (*.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 y (*.f64 x x)) y)) (*.f64 y y) (*.f64 (neg.f64 x) (*.f64 x x)))) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) x) x)) y (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x) x (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 y (*.f64 x x)) y)) (*.f64 y y) (*.f64 (neg.f64 x) (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 y (*.f64 x x)) y)) (*.f64 y y) (*.f64 (neg.f64 x) (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x) (*.f64 (*.f64 y (*.f64 x x)) y)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x) (*.f64 (*.f64 y (*.f64 x x)) y)))))))
(/.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 (*.f64 (neg.f64 y) y) x x))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)) (neg.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (*.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))
(neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)) (neg.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))) (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x))))
(neg.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) (fma.f64 (*.f64 (neg.f64 y) y) x x)))
(neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x) x) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 y (*.f64 x x)) y)) (*.f64 y y) (*.f64 (neg.f64 x) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x) x (*.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x) x) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
(fma.f64 (/.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) x))
(fma.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) x x)
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) x) x) (/.f64 y (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) y) x) (/.f64 (*.f64 y x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
(fma.f64 (*.f64 (neg.f64 y) x) (neg.f64 y) x)
(fma.f64 (*.f64 (neg.f64 y) y) (neg.f64 x) x)
(fma.f64 (*.f64 (*.f64 y (*.f64 x x)) y) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) x) x)
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 y) y) x)
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (*.f64 y y) x))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) y) x) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 y y) x))
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64) x)
(fma.f64 (*.f64 y x) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
(fma.f64 (*.f64 y x) y x)
(fma.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 y (*.f64 x x)) y) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
(fma.f64 (*.f64 y y) x x)
(fma.f64 y (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) x) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
(fma.f64 y (*.f64 y x) x)
(fma.f64 x (*.f64 y y) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y y) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y y) x))
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x) x) (*.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
(+.f64 (*.f64 (*.f64 y y) x) x)
(+.f64 x (*.f64 (*.f64 y y) x))

eval77.0ms (1.2%)

Memory
2.3MiB live, 113.2MiB allocated
Compiler

Compiled 9 127 to 909 computations (90% saved)

prune111.0ms (1.7%)

Memory
26.0MiB live, 151.9MiB allocated
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New6275632
Fresh000
Picked123
Done033
Total62810638
Accuracy
100.0%
Counts
638 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x)
99.9%
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x)
99.8%
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y x)
99.9%
(fma.f64 (*.f64 x y) y x)
70.2%
(/.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x)))
87.7%
(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
46.4%
(/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
46.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))))
46.5%
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
51.1%
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
Compiler

Compiled 196 to 101 computations (48.5% saved)

simplify102.0ms (1.5%)

Memory
-21.5MiB live, 135.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
cost-diff0
(/.f64 y (pow.f64 x #s(literal -1/2 binary64)))
cost-diff0
(fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x)
cost-diff14016
(/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff512
(fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
cost-diff704
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x))
cost-diff2944
(/.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x)))
cost-diff0
(*.f64 y x)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y x))
cost-diff512
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y)
cost-diff1920
(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y x)
cost-diff704
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))
cost-diff1408
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x)
cost-diff1088
(/.f64 x (/.f64 #s(literal 1 binary64) y))
Rules
1 703×lower-fma.f32
1 700×lower-fma.f64
1 662×lower-*.f32
1 659×lower-*.f64
662×lower-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024175
048145
192119
2202117
3525115
42077113
54057113
67080113
08043113
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x)
(/.f64 x (/.f64 #s(literal 1 binary64) y))
x
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y x)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)))
#s(literal -1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 #s(literal -1 binary64) x)
x
(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y)
x
(/.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 y x)
y
(/.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
y
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x)
(/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 y (pow.f64 x #s(literal -1/2 binary64)))
y
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
Outputs
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x)
(fma.f64 (*.f64 y x) y x)
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 y x)
x
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y x)
(fma.f64 (*.f64 y x) y x)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)))
(*.f64 y x)
#s(literal -1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 #s(literal -1 binary64) x)
x
(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(fma.f64 (*.f64 y x) y x)
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(-.f64 y (/.f64 #s(literal -1 binary64) y))
x
(/.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 y x)
y
(/.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 y x) y x)
(fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 (-.f64 y (/.f64 #s(literal -1 binary64) y)) x)
y
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) x))
(fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x)
(fma.f64 (*.f64 y x) y x)
(/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 y x)
(/.f64 y (pow.f64 x #s(literal -1/2 binary64)))
y
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)

localize112.0ms (1.7%)

Memory
22.0MiB live, 184.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 x #s(literal -1/2 binary64))
accuracy0.05859375
(fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x)
accuracy0.21484375
(/.f64 y (pow.f64 x #s(literal -1/2 binary64)))
accuracy0.26400375976844204
(/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
accuracy0.1015625
(fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
accuracy0.1796875
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x))
accuracy0.209316259768442
(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy18.849585726819104
(/.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x)))
accuracy0
(*.f64 y x)
accuracy0.209316259768442
(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy7.324825134926431
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y)
accuracy7.397448653593221
(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0.05859375
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y x)
accuracy0.2741012695368841
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))
accuracy0.5026409132449914
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)))
accuracy0
(/.f64 #s(literal 1 binary64) y)
accuracy0.05859375
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x)
accuracy0.171875
(/.f64 x (/.f64 #s(literal 1 binary64) y))
Samples
81.0ms256×0valid
Compiler

Compiled 184 to 31 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-add: 21.0ms (34.2% of total)
ival-div: 16.0ms (26.1% of total)
ival-pow: 12.0ms (19.6% of total)
ival-mult: 11.0ms (17.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series36.0ms (0.5%)

Memory
-18.6MiB live, 57.9MiB allocated
Counts
19 → 408
Calls
Call 1
Inputs
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y x) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (patch (/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ())
#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (patch (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) (patch (fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x) #<representation binary64>) () ())
#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal -1/2 binary64)) (patch (pow.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
Calls

102 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(* (/ 1 (* y x)) (/ 1 x))
2.0ms
x
@-inf
(pow x -1/2)
2.0ms
y
@inf
(* (/ 1 y) (/ -1 x))
1.0ms
x
@-inf
(/ (/ y (pow x -1/2)) (pow x -1/2))
1.0ms
x
@-inf
(/ (+ (* y (/ 1 x)) (/ 1 (* y x))) (* (/ 1 (* y x)) (/ 1 x)))

simplify185.0ms (2.8%)

Memory
-4.0MiB live, 148.7MiB allocated
Algorithm
egg-herbie
Rules
2 275×lower-fma.f64
2 275×lower-fma.f32
1 686×lower-*.f64
1 686×lower-*.f32
1 031×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0612114
11572102
23662098
310642098
434722014
574512014
083281909
Stop Event
iter limit
node limit
Counts
408 → 401
Calls
Call 1
Inputs
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
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(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
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(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ 1 y)
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(/ -1 (* x y))
(/ -1 (* x y))
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(/ -1 (* x y))
(/ -1 (* x y))
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(/ -1 (* x y))
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(/ -1 (* x y))
(/ -1 (* x y))
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(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
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(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
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x
(+ x (* x (pow y 2)))
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(+ y (/ 1 y))
(+ y (/ 1 y))
(/ 1 y)
(/ (+ 1 (pow y 2)) y)
(/ (+ 1 (pow y 2)) y)
(/ (+ 1 (pow y 2)) y)
y
(* y (+ 1 (/ 1 (pow y 2))))
(* y (+ 1 (/ 1 (pow y 2))))
(* y (+ 1 (/ 1 (pow y 2))))
y
(* y (+ 1 (/ 1 (pow y 2))))
(* y (+ 1 (/ 1 (pow y 2))))
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(* x y)
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x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
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(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
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(* -1 (* x (* y (- (* -1 y) (/ 1 y)))))
(* -1 (* x (* y (- (* -1 y) (/ 1 y)))))
(* -1 (* x (* y (- (* -1 y) (/ 1 y)))))
(/ 1 (* (pow x 2) y))
(/ 1 (* (pow x 2) y))
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(/ 1 (* (pow x 2) y))
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(/ 1 (* (pow x 2) y))
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(/ 1 (* x y))
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(/ (+ (/ 1 x) (/ (pow y 2) x)) y)
(/ (+ (/ 1 x) (/ (pow y 2) x)) y)
(/ y x)
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(/ y x)
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(* -1 (/ (* x y) (pow (sqrt -1) 2)))
(* -1 (/ (* x y) (pow (sqrt -1) 2)))
x
(+ x (* x (pow y 2)))
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(* (sqrt x) y)
(* (sqrt x) y)
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(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
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(sqrt (/ 1 x))
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(sqrt (/ 1 x))
(sqrt (/ 1 x))
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(/ -1 x)
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(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
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Outputs
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
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(* x y)
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(* x y)
(*.f64 y x)
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(fma.f64 (*.f64 y y) x x)
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(fma.f64 (*.f64 y y) x x)
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(fma.f64 (*.f64 y y) x x)
(* x (+ 1 (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(fma.f64 (*.f64 y y) x x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(fma.f64 (*.f64 y y) x x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(fma.f64 (*.f64 y y) x x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(fma.f64 (*.f64 y y) x x)
x
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y y) x x)
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(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 (*.f64 y y) x x)
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(fma.f64 (*.f64 y y) x x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 (*.f64 y y) x x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 (*.f64 y y) x x)
(* (pow y 2) (+ x (/ x (pow y 2))))
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(fma.f64 (*.f64 y y) x x)
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(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* x y)
(*.f64 y x)
(* x y)
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(* x y)
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(* x y)
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(* x y)
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(/ -1 (* x y))
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(/ -1 (* x y))
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(/ -1 (* x y))
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(/ -1 (* x y))
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(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
x
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 (*.f64 y y) x x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 (*.f64 y y) x x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 (*.f64 y y) x x)
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(*.f64 (*.f64 y y) x)
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(fma.f64 (*.f64 y y) x x)
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(fma.f64 (*.f64 y y) x x)
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(fma.f64 (*.f64 y y) x x)
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(fma.f64 (*.f64 y y) x x)
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(fma.f64 (*.f64 y y) x x)
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(fma.f64 (*.f64 y y) x x)
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(fma.f64 (*.f64 y y) x x)
(* x (+ 1 (pow y 2)))
(fma.f64 (*.f64 y y) x x)
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(fma.f64 (*.f64 y y) x x)
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(fma.f64 (*.f64 y y) x x)
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(fma.f64 (*.f64 y y) x x)
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(fma.f64 (*.f64 y y) x x)
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(fma.f64 (*.f64 y y) x x)
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(fma.f64 (*.f64 y y) x x)
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(fma.f64 (*.f64 y y) x x)
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(fma.f64 (*.f64 y y) x x)
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(fma.f64 (*.f64 y y) x x)
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(fma.f64 (*.f64 y y) x x)
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(fma.f64 (*.f64 y y) x x)
x
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 (*.f64 y y) x x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 (*.f64 y y) x x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 (*.f64 y y) x x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
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(fma.f64 (*.f64 y y) x x)
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(-.f64 y (/.f64 #s(literal -1 binary64) y))
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(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (pow y 2)) y)
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(/ (+ 1 (pow y 2)) y)
(-.f64 y (/.f64 #s(literal -1 binary64) y))
(/ (+ 1 (pow y 2)) y)
(-.f64 y (/.f64 #s(literal -1 binary64) y))
y
(* y (+ 1 (/ 1 (pow y 2))))
(-.f64 y (/.f64 #s(literal -1 binary64) y))
(* y (+ 1 (/ 1 (pow y 2))))
(-.f64 y (/.f64 #s(literal -1 binary64) y))
(* y (+ 1 (/ 1 (pow y 2))))
(-.f64 y (/.f64 #s(literal -1 binary64) y))
y
(* y (+ 1 (/ 1 (pow y 2))))
(-.f64 y (/.f64 #s(literal -1 binary64) y))
(* y (+ 1 (/ 1 (pow y 2))))
(-.f64 y (/.f64 #s(literal -1 binary64) y))
(* y (+ 1 (/ 1 (pow y 2))))
(-.f64 y (/.f64 #s(literal -1 binary64) y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.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)
(*.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)
(*.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)
(*.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)
(*.f64 y x)
x
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 (*.f64 y y) x x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 (*.f64 y y) x x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 (*.f64 y y) x x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 (*.f64 y y) x x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 (*.f64 y y) x x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 (*.f64 y y) x x)
(* x (* y (+ y (/ 1 y))))
(fma.f64 (*.f64 y y) x x)
(* x (* y (+ y (/ 1 y))))
(fma.f64 (*.f64 y y) x x)
(* x (* y (+ y (/ 1 y))))
(fma.f64 (*.f64 y y) x x)
(* x (* y (+ y (/ 1 y))))
(fma.f64 (*.f64 y y) x x)
(* x (* y (+ y (/ 1 y))))
(fma.f64 (*.f64 y y) x x)
(* x (* y (+ y (/ 1 y))))
(fma.f64 (*.f64 y y) x x)
(* x (* y (+ y (/ 1 y))))
(fma.f64 (*.f64 y y) x x)
(* x (* y (+ y (/ 1 y))))
(fma.f64 (*.f64 y y) x x)
(* -1 (* x (* y (- (* -1 y) (/ 1 y)))))
(fma.f64 (*.f64 y y) x x)
(* -1 (* x (* y (- (* -1 y) (/ 1 y)))))
(fma.f64 (*.f64 y y) x x)
(* -1 (* x (* y (- (* -1 y) (/ 1 y)))))
(fma.f64 (*.f64 y y) x x)
(* -1 (* x (* y (- (* -1 y) (/ 1 y)))))
(fma.f64 (*.f64 y y) x x)
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* (pow x 2) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ (+ (/ 1 x) (/ (pow y 2) x)) y)
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x))
(/ (+ (/ 1 x) (/ (pow y 2) x)) y)
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x))
(/ (+ (/ 1 x) (/ (pow y 2) x)) y)
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x))
(/ y x)
(/.f64 y x)
(* y (+ (/ 1 x) (/ 1 (* x (pow y 2)))))
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x))
(* y (+ (/ 1 x) (/ 1 (* x (pow y 2)))))
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x))
(* y (+ (/ 1 x) (/ 1 (* x (pow y 2)))))
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x))
(/ y x)
(/.f64 y x)
(* y (+ (/ 1 x) (/ 1 (* x (pow y 2)))))
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x))
(* y (+ (/ 1 x) (/ 1 (* x (pow y 2)))))
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x))
(* y (+ (/ 1 x) (/ 1 (* x (pow y 2)))))
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x))
(/ (+ y (/ 1 y)) x)
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x))
(/ (+ y (/ 1 y)) x)
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x))
(/ (+ y (/ 1 y)) x)
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x))
(/ (+ y (/ 1 y)) x)
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x))
(/ (+ y (/ 1 y)) x)
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x))
(/ (+ y (/ 1 y)) x)
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x))
(/ (+ y (/ 1 y)) x)
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x))
(/ (+ y (/ 1 y)) x)
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x))
(* -1 (/ (- (* -1 y) (/ 1 y)) x))
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x))
(* -1 (/ (- (* -1 y) (/ 1 y)) x))
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x))
(* -1 (/ (- (* -1 y) (/ 1 y)) x))
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x))
(* -1 (/ (- (* -1 y) (/ 1 y)) x))
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x 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)
(*.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)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (/ (* x y) (pow (sqrt -1) 2)))
(*.f64 y x)
(* -1 (/ (* x y) (pow (sqrt -1) 2)))
(*.f64 y x)
(* -1 (/ (* x y) (pow (sqrt -1) 2)))
(*.f64 y x)
(* -1 (/ (* x y) (pow (sqrt -1) 2)))
(*.f64 y x)
x
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 (*.f64 y y) x x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 (*.f64 y y) x x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 (*.f64 y y) x x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 (*.f64 y y) x x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 (*.f64 y y) x x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 (*.f64 y y) x x)
(* x (+ 1 (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(* x (+ 1 (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(* x (+ 1 (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(* x (+ 1 (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(* x (+ 1 (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(* x (+ 1 (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(* x (+ 1 (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(* x (+ 1 (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(* -1 (* x (- (/ (pow y 2) (pow (sqrt -1) 2)) 1)))
(fma.f64 (*.f64 y y) x x)
(* -1 (* x (- (/ (pow y 2) (pow (sqrt -1) 2)) 1)))
(fma.f64 (*.f64 y y) x x)
(* -1 (* x (- (/ (pow y 2) (pow (sqrt -1) 2)) 1)))
(fma.f64 (*.f64 y y) x x)
(* -1 (* x (- (/ (pow y 2) (pow (sqrt -1) 2)) 1)))
(fma.f64 (*.f64 y y) x x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(* -1 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(* -1 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(* -1 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)

rewrite297.0ms (4.5%)

Memory
29.6MiB live, 337.6MiB allocated
Rules
2 407×lower-/.f32
2 397×lower-/.f64
2 211×lower-fma.f32
2 208×lower-fma.f64
1 615×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024148
048110
122492
2185791
0848491
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 842
Calls
Call 1
Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x)
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y x)
(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(/.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x)
(/.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) x)
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (pow.f64 x #s(literal -1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) y) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 (*.f64 y x) x)) (/.f64 (*.f64 y y) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y x))) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x x)))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) x))) (fma.f64 (*.f64 y y) x x)))
(neg.f64 (/.f64 (/.f64 (+.f64 (/.f64 x (*.f64 y x)) y) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y x) x))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (fma.f64 (*.f64 y y) x x)))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) (pow.f64 x #s(literal -1/4 binary64))) (/.f64 y (pow.f64 x #s(literal -1/4 binary64))) x)
(fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) y) (sqrt.f64 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y y) x))
(fma.f64 (*.f64 y y) x x)
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (*.f64 (neg.f64 y) (sqrt.f64 x)) x)
(fma.f64 (*.f64 (neg.f64 x) y) (neg.f64 y) x)
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 x) y) x)
(fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (*.f64 y x) y x)
(fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x))) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) y) y) x)
(fma.f64 y (*.f64 y x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y y) x))
(fma.f64 x (*.f64 y y) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y y) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y y) x))) (/.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)) (-.f64 x (*.f64 (*.f64 y y) x))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 (/.f64 x (*.f64 y x)) y))) (/.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 (/.f64 x (*.f64 y x)) y))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 (/.f64 x (*.f64 y x)) y)) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 (/.f64 (*.f64 y y) (-.f64 (/.f64 x (*.f64 y x)) y)) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) x)) (/.f64 (-.f64 y (/.f64 #s(literal 1 binary64) y)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) x)) (/.f64 (-.f64 y (/.f64 #s(literal 1 binary64) y)) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y x) x))) (/.f64 (/.f64 (+.f64 (/.f64 x (*.f64 y x)) y) x) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y x) x))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (-.f64 y (/.f64 #s(literal 1 binary64) y)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (/.f64 (-.f64 y (/.f64 #s(literal 1 binary64) y)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (fma.f64 (*.f64 y y) x x)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y y)) (fma.f64 (*.f64 y y) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) x (neg.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x x))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 y y) x) x)
(+.f64 x (*.f64 (*.f64 y y) x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) y) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) y)
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 y (sqrt.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 y (pow.f64 x #s(literal -1/4 binary64)))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 (/.f64 y (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 y) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(/.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 y (pow.f64 x #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/4 binary64) (*.f64 (log.f64 x) #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64)))

eval532.0ms (8%)

Memory
38.4MiB live, 673.4MiB allocated
Compiler

Compiled 58 772 to 3 167 computations (94.6% saved)

prune274.0ms (4.1%)

Memory
-37.2MiB live, 402.8MiB allocated
Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New2 81542 819
Fresh000
Picked415
Done055
Total2 819102 829
Accuracy
100.0%
Counts
2 829 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x)
99.8%
(fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y x)
99.7%
(fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y) x)
99.9%
(fma.f64 (*.f64 x y) y x)
99.9%
(fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x))) x)
87.7%
(/.f64 (fma.f64 y x (*.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 #s(literal 1 binary64) y))
46.4%
(/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
46.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))))
46.5%
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
51.1%
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
Compiler

Compiled 304 to 116 computations (61.8% saved)

regimes31.0ms (0.5%)

Memory
16.0MiB live, 52.9MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
(fma.f64 (*.f64 x y) y x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x)
(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x))) x)
(fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y x)
(/.f64 (fma.f64 y x (*.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y x)
(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 y y)) y) (*.f64 x y) (neg.f64 (*.f64 x x))) (fma.f64 x (*.f64 y y) (neg.f64 x)))
(/.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) y x)
Outputs
(fma.f64 (*.f64 x y) y x)
Calls

5 calls:

9.0ms
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
6.0ms
x
6.0ms
y
5.0ms
(*.f64 y y)
5.0ms
(+.f64 #s(literal 1 binary64) (*.f64 y y))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
99.9%1(+.f64 #s(literal 1 binary64) (*.f64 y y))
99.9%1(*.f64 y y)
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes55.0ms (0.8%)

Memory
-23.2MiB live, 14.2MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
Outputs
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
Calls

5 calls:

49.0ms
x
1.0ms
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
1.0ms
y
1.0ms
(*.f64 y y)
1.0ms
(+.f64 #s(literal 1 binary64) (*.f64 y y))
Results
AccuracySegmentsBranch
53.8%2x
92.9%2y
78.4%2(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
92.9%2(+.f64 #s(literal 1 binary64) (*.f64 y y))
92.9%2(*.f64 y y)
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
Outputs
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
Calls

5 calls:

1.0ms
y
1.0ms
x
1.0ms
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
1.0ms
(+.f64 #s(literal 1 binary64) (*.f64 y y))
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
51.1%1x
51.1%1(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
51.1%1(+.f64 #s(literal 1 binary64) (*.f64 y y))
51.1%1(*.f64 y y)
51.1%1y
Compiler

Compiled 27 to 18 computations (33.3% saved)

bsearch12.0ms (0.2%)

Memory
21.3MiB live, 21.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
0.014137400098435787
3893.718122378602
Samples
6.0ms144×0valid
Compiler

Compiled 156 to 101 computations (35.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (72% of total)
ival-add: 1.0ms (36% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify11.0ms (0.2%)

Memory
-29.7MiB live, 10.1MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01439
12039
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 x y) y x)
(if (<=.f64 y #s(literal 1 binary64)) (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))))
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
Outputs
(fma.f64 (*.f64 x y) y x)
(fma.f64 (*.f64 y x) y x)
(if (<=.f64 y #s(literal 1 binary64)) (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))))
(if (<=.f64 y #s(literal 1 binary64)) (*.f64 #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) x) (*.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) x))
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
(*.f64 #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) x)

soundness440.0ms (6.6%)

Memory
-10.7MiB live, 238.2MiB allocated
Rules
4 532×lower-fma.f64
4 532×lower-fma.f32
3 287×lower-*.f64
3 287×lower-*.f32
2 588×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015246
142246
274246
3212246
4695246
51887246
62663246
73730246
85074246
95970246
106935246
117278246
127397246
137474246
147543246
157690246
08226216
0615
0915
13415
220915
3140415
0826913
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 58 to 30 computations (48.3% saved)

preprocess65.0ms (1%)

Memory
27.1MiB live, 146.9MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 184 to 90 computations (51.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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