Radioactive exchange between two surfaces

Time bar (total: 6.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB 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)

sample745.0ms (11.1%)

Memory
24.0MiB live, 1 085.2MiB allocated
Samples
529.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 321.0ms
ival-pow: 268.0ms (83.5% of total)
ival-sub: 39.0ms (12.2% of total)
ival-true: 6.0ms (1.9% of total)
exact: 5.0ms (1.6% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain79.0ms (1.2%)

Memory
-14.1MiB live, 141.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
300-0-(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
00-0-y
00-0-(pow.f64 x #s(literal 4 binary64))
00-0-(pow.f64 y #s(literal 4 binary64))
00-0-#s(literal 4 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))nan-rescue300
(pow.f64 x #s(literal 4 binary64))overflow95
(pow.f64 y #s(literal 4 binary64))overflow89
Confusion
Predicted +Predicted -
+300
-0226
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3000
-00226
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0226
130
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
34.0ms512×0valid
Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-pow: 14.0ms (64.8% of total)
ival-sub: 6.0ms (27.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess23.0ms (0.3%)

Memory
11.9MiB live, 50.5MiB allocated
Algorithm
egg-herbie
Rules
90×sub-neg
80×lower-fma.f64
80×lower-fma.f32
48×lower-*.f64
48×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01441
13041
26839
312139
421339
533339
637639
739639
067
097
1117
2167
3227
4307
5457
6787
71037
81457
91607
101687
01687
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
Outputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.3%
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify8.0ms (0.1%)

Memory
-15.7MiB live, 23.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 y #s(literal 4 binary64))
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
Rules
80×lower-fma.f64
80×lower-fma.f32
48×lower-*.f64
48×lower-*.f32
32×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
0916
11116
21616
32216
43016
54516
67816
710316
814516
916016
1016816
016816
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(pow.f64 y #s(literal 4 binary64))
y
Outputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(pow.f64 y #s(literal 4 binary64))
y

localize26.0ms (0.4%)

Memory
-5.8MiB live, 50.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 y #s(literal 4 binary64))
accuracy0
(pow.f64 x #s(literal 4 binary64))
accuracy6.691377351622882
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
Samples
21.0ms256×0valid
Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-pow: 7.0ms (80.7% of total)
ival-sub: 1.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
3 → 48
Calls
Call 1
Inputs
#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (pow x 4) (taylor 0 y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor inf y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) (taylor inf y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) (taylor inf y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) (taylor inf y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor inf y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor inf y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor inf y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor inf y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor -inf y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) (taylor -inf y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) (taylor -inf y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) (taylor -inf y) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor -inf y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor -inf y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor -inf y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor -inf y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (pow x 4) (pow y 4)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (pow x 4) (pow y 4)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (pow x 4) (pow y 4)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4))))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))
1.0ms
y
@0
((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))
1.0ms
y
@inf
((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))
1.0ms
y
@-inf
((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))
1.0ms
x
@inf
((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))

simplify149.0ms (2.2%)

Memory
-1.7MiB live, 188.9MiB allocated
Algorithm
egg-herbie
Rules
19 848×lower-fma.f64
19 848×lower-fma.f32
4 256×lower-*.f64
4 256×lower-*.f32
1 584×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017219
137219
267219
3168219
4343219
5621219
62846219
75704219
08227219
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(pow x 4)
(+ (* -1 (pow y 4)) (pow x 4))
(+ (* -1 (pow y 4)) (pow x 4))
(+ (* -1 (pow y 4)) (pow x 4))
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(* -1 (pow y 4))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(* -1 (pow y 4))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(* -1 (pow y 4))
(- (pow x 4) (pow y 4))
(- (pow x 4) (pow y 4))
(- (pow x 4) (pow y 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
Outputs
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(- (pow x 4) (pow y 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(- (pow x 4) (pow y 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(- (pow x 4) (pow y 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))

rewrite215.0ms (3.2%)

Memory
11.3MiB live, 195.8MiB allocated
Rules
7 422×lower-fma.f64
7 422×lower-fma.f32
3 996×lower-*.f64
3 996×lower-*.f32
3 822×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
13613
222513
3198913
0860713
Stop Event
iter limit
node limit
iter limit
Counts
3 → 228
Calls
Call 1
Inputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
Outputs
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 36 binary64)) (pow.f64 y #s(literal 36 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (+.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 24 binary64)))) (fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 16 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (+.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 36 binary64)) (pow.f64 y #s(literal 36 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))))
(*.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))))))
(*.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 36 binary64)) (pow.f64 y #s(literal 36 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (pow.f64 y #s(literal 12 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y y (*.f64 x x)))
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))))
(*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 36 binary64)) (pow.f64 y #s(literal 36 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) (pow.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (pow.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
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(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))) (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))))
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(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 16 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))))) (/.f64 (pow.f64 y #s(literal 16 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 24 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64))))) (/.f64 (pow.f64 y #s(literal 24 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 24 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))))) (/.f64 (pow.f64 y #s(literal 24 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 36 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64))))) (/.f64 (pow.f64 y #s(literal 36 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 16 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal 16 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 24 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal 24 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 24 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))) (/.f64 (/.f64 (pow.f64 y #s(literal 24 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 36 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64)))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))) (/.f64 (/.f64 (pow.f64 y #s(literal 36 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64)))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 24 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal 24 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 36 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64)))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal 36 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64)))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))) (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))))
(+.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) y)
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 y y) (*.f64 y y))
(*.f64 y (pow.f64 y #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 y))
(pow.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))

eval27.0ms (0.4%)

Memory
33.0MiB live, 68.0MiB allocated
Compiler

Compiled 8 315 to 665 computations (92% saved)

prune13.0ms (0.2%)

Memory
-24.7MiB live, 24.3MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2715276
Fresh000
Picked101
Done000
Total2725277
Accuracy
100.0%
Counts
277 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.3%
(fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
13.2%
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
99.8%
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
58.6%
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
56.4%
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
Compiler

Compiled 98 to 74 computations (24.5% saved)

simplify207.0ms (3.1%)

Memory
-18.6MiB live, 218.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 y #s(literal 8 binary64))
cost-diff0
(pow.f64 x #s(literal 8 binary64))
cost-diff0
(-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))
cost-diff0
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
cost-diff-5504
(fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
cost-diff0
(pow.f64 y #s(literal 4 binary64))
cost-diff0
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(pow.f64 y #s(literal 4 binary64))
cost-diff0
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
cost-diff0
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
cost-diff0
(*.f64 (+.f64 x y) (-.f64 x y))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 y y (*.f64 x x))
cost-diff0
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
Rules
18 956×lower-fma.f32
18 952×lower-fma.f64
3 614×lower-+.f32
3 610×lower-+.f64
3 242×lower--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024144
040144
165142
2128140
3446140
41441140
54787140
08386140
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 x y)
(-.f64 x y)
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 x x)
x
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))
(pow.f64 x #s(literal 8 binary64))
x
#s(literal 8 binary64)
(pow.f64 y #s(literal 8 binary64))
y
(+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 x #s(literal 4 binary64))
Outputs
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))) (+.f64 x y))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
(*.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (-.f64 x y) (+.f64 x y))
(+.f64 x y)
(-.f64 x y)
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 x x)
x
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))
(pow.f64 x #s(literal 8 binary64))
x
#s(literal 8 binary64)
(pow.f64 y #s(literal 8 binary64))
y
(+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 x #s(literal 4 binary64))

localize64.0ms (1%)

Memory
25.0MiB live, 106.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 x #s(literal 4 binary64))
accuracy0
(+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
accuracy10.031206652434326
(-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))
accuracy51.26243315446526
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
accuracy0
(pow.f64 y #s(literal 4 binary64))
accuracy0
(*.f64 x x)
accuracy0
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
accuracy4.843732110192356
(fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
accuracy0
(pow.f64 y #s(literal 4 binary64))
accuracy0
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
accuracy27.923471222886917
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
accuracy0
(pow.f64 x #s(literal 4 binary64))
accuracy26.492280520426366
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
accuracy0
(*.f64 (+.f64 x y) (-.f64 x y))
accuracy0
(*.f64 x x)
accuracy0.00390625
(fma.f64 y y (*.f64 x x))
accuracy0.12109375
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
Samples
49.0ms256×0valid
Compiler

Compiled 140 to 24 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-pow: 14.0ms (40.6% of total)
ival-mult: 10.0ms (29% of total)
ival-add: 4.0ms (11.6% of total)
ival-sub: 3.0ms (8.7% of total)
ival-div: 2.0ms (5.8% of total)
ival-neg: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.4%)

Memory
0.8MiB live, 39.3MiB allocated
Counts
15 → 288
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) (patch (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ())
#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) (patch #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (patch #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 (pow.f64 y #s(literal 4 binary64))) (patch (neg.f64 (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (patch (fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (patch (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 8 binary64)) (patch (pow.f64 x #s(literal 8 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 y #s(literal 8 binary64)) (patch (pow.f64 y #s(literal 8 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (pow x 4) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) (patch (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) (patch (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) (patch (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) (patch (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (* -1 x))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) (patch #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) (patch #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) (patch #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) (patch #s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (patch #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (patch #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (patch #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (patch #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor 0 y) (#s(alt (neg.f64 (pow.f64 y #s(literal 4 binary64))) (patch (neg.f64 (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor 0 y) (#s(alt (neg.f64 (pow.f64 y #s(literal 4 binary64))) (patch (neg.f64 (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor 0 y) (#s(alt (neg.f64 (pow.f64 y #s(literal 4 binary64))) (patch (neg.f64 (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor 0 y) (#s(alt (neg.f64 (pow.f64 y #s(literal 4 binary64))) (patch (neg.f64 (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (patch (fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (patch (fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (patch (fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (patch (fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 y) (#s(alt (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow x 8) (taylor 0 y) (#s(alt (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (patch (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 8) (taylor 0 y) (#s(alt (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (patch (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 8)) (pow x 8)) (taylor 0 y) (#s(alt (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (patch (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 8)) (pow x 8)) (taylor 0 y) (#s(alt (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (patch (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow y 8) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 8 binary64)) (patch (pow.f64 y #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 8) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 8 binary64)) (patch (pow.f64 y #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 8) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 8 binary64)) (patch (pow.f64 y #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 8) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 8 binary64)) (patch (pow.f64 y #s(literal 8 binary64)) #<representation binary64>) () ())) ())
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#s(alt (pow x 8) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 8 binary64)) (patch (pow.f64 x #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 8) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 8 binary64)) (patch (pow.f64 x #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 8) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 8 binary64)) (patch (pow.f64 x #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4)))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4)))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4)))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@inf
((* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (- (pow x 4) (pow y 4)) (pow x 4) (- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (+ (* (* x x) (* x x)) (neg (pow y 4))) (/ (- (pow x 8) (pow y 8)) (+ (pow y 4) (pow x 4))) (- (pow x 8) (pow y 8)) (pow x 8) (pow y 8) (+ (pow y 4) (pow x 4)))
3.0ms
x
@-inf
((* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (- (pow x 4) (pow y 4)) (pow x 4) (- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (+ (* (* x x) (* x x)) (neg (pow y 4))) (/ (- (pow x 8) (pow y 8)) (+ (pow y 4) (pow x 4))) (- (pow x 8) (pow y 8)) (pow x 8) (pow y 8) (+ (pow y 4) (pow x 4)))
2.0ms
x
@inf
((* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (- (pow x 4) (pow y 4)) (pow x 4) (- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (+ (* (* x x) (* x x)) (neg (pow y 4))) (/ (- (pow x 8) (pow y 8)) (+ (pow y 4) (pow x 4))) (- (pow x 8) (pow y 8)) (pow x 8) (pow y 8) (+ (pow y 4) (pow x 4)))
2.0ms
x
@0
((* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (- (pow x 4) (pow y 4)) (pow x 4) (- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (+ (* (* x x) (* x x)) (neg (pow y 4))) (/ (- (pow x 8) (pow y 8)) (+ (pow y 4) (pow x 4))) (- (pow x 8) (pow y 8)) (pow x 8) (pow y 8) (+ (pow y 4) (pow x 4)))
2.0ms
y
@0
((* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (- (pow x 4) (pow y 4)) (pow x 4) (- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (+ (* (* x x) (* x x)) (neg (pow y 4))) (/ (- (pow x 8) (pow y 8)) (+ (pow y 4) (pow x 4))) (- (pow x 8) (pow y 8)) (pow x 8) (pow y 8) (+ (pow y 4) (pow x 4)))

simplify191.0ms (2.9%)

Memory
9.9MiB live, 194.9MiB allocated
Algorithm
egg-herbie
Rules
24 306×lower-fma.f64
24 306×lower-fma.f32
5 334×lower-+.f64
5 334×lower-+.f32
4 246×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02052196
16612083
221992006
082041981
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
(pow x 4)
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 2)
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(pow x 4)
(+ (* -1 (pow y 4)) (pow x 4))
(+ (* -1 (pow y 4)) (pow x 4))
(+ (* -1 (pow y 4)) (pow x 4))
(pow x 4)
(+ (* -1 (pow y 4)) (pow x 4))
(+ (* -1 (pow y 4)) (pow x 4))
(+ (* -1 (pow y 4)) (pow x 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow x 4)
(+ (* -1 (pow y 4)) (pow x 4))
(+ (* -1 (pow y 4)) (pow x 4))
(+ (* -1 (pow y 4)) (pow x 4))
(pow x 4)
(+ (* -1 (pow y 4)) (pow x 4))
(+ (* -1 (pow y 4)) (pow x 4))
(+ (* -1 (pow y 4)) (pow x 4))
(pow x 8)
(pow x 8)
(+ (* -1 (pow y 8)) (pow x 8))
(+ (* -1 (pow y 8)) (pow x 8))
(pow y 8)
(pow y 8)
(pow y 8)
(pow y 8)
(pow x 4)
(+ (pow x 4) (pow y 4))
(+ (pow x 4) (pow y 4))
(+ (pow x 4) (pow y 4))
(* -1 (pow y 4))
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* -1 (pow y 2))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(* -1 (pow y 4))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* -1 (pow y 8))
(* -1 (pow y 8))
(* (pow y 8) (- (/ (pow x 8) (pow y 8)) 1))
(* (pow y 8) (- (/ (pow x 8) (pow y 8)) 1))
(pow y 8)
(pow y 8)
(pow y 8)
(pow y 8)
(pow y 4)
(* (pow y 4) (+ 1 (/ (pow x 4) (pow y 4))))
(* (pow y 4) (+ 1 (/ (pow x 4) (pow y 4))))
(* (pow y 4) (+ 1 (/ (pow x 4) (pow y 4))))
(* -1 (pow y 4))
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1))
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* -1 (pow y 2))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(* -1 (pow y 4))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* -1 (pow y 8))
(* -1 (pow y 8))
(* (pow y 8) (- (/ (pow x 8) (pow y 8)) 1))
(* (pow y 8) (- (/ (pow x 8) (pow y 8)) 1))
(pow y 8)
(pow y 8)
(pow y 8)
(pow y 8)
(pow y 4)
(* (pow y 4) (+ 1 (/ (pow x 4) (pow y 4))))
(* (pow y 4) (+ 1 (/ (pow x 4) (pow y 4))))
(* (pow y 4) (+ 1 (/ (pow x 4) (pow y 4))))
(* -1 (pow y 4))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3))))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3)))))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3)))))
(pow y 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(* -1 (pow y 4))
(- (pow x 4) (pow y 4))
(- (pow x 4) (pow y 4))
(- (pow x 4) (pow y 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* -1 (pow y 4))
(- (pow x 4) (pow y 4))
(- (pow x 4) (pow y 4))
(- (pow x 4) (pow y 4))
(* -1 (pow y 4))
(- (pow x 4) (pow y 4))
(- (pow x 4) (pow y 4))
(- (pow x 4) (pow y 4))
(* -1 (pow y 4))
(+ (* -1 (pow y 4)) (pow x 4))
(+ (* -1 (pow y 4)) (pow x 4))
(+ (* -1 (pow y 4)) (pow x 4))
(* -1 (pow y 8))
(* -1 (pow y 8))
(- (pow x 8) (pow y 8))
(- (pow x 8) (pow y 8))
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow y 4)
(+ (pow x 4) (pow y 4))
(+ (pow x 4) (pow y 4))
(+ (pow x 4) (pow y 4))
(pow x 4)
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(pow x 8)
(pow x 8)
(* (pow x 8) (+ 1 (* -1 (/ (pow y 8) (pow x 8)))))
(* (pow x 8) (+ 1 (* -1 (/ (pow y 8) (pow x 8)))))
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 4)
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4))))
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4))))
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4))))
(pow x 4)
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(pow x 8)
(pow x 8)
(* (pow x 8) (+ 1 (* -1 (/ (pow y 8) (pow x 8)))))
(* (pow x 8) (+ 1 (* -1 (/ (pow y 8) (pow x 8)))))
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 4)
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4))))
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4))))
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4))))
Outputs
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* y (+ x (* -1 x))) (pow x 2))
(*.f64 x x)
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(+ (* -1 (pow y 8)) (pow x 8))
(-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))
(+ (* -1 (pow y 8)) (pow x 8))
(-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))
(pow y 8)
(pow.f64 y #s(literal 8 binary64))
(pow y 8)
(pow.f64 y #s(literal 8 binary64))
(pow y 8)
(pow.f64 y #s(literal 8 binary64))
(pow y 8)
(pow.f64 y #s(literal 8 binary64))
(pow x 4)
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(* (pow x 8) (+ 1 (* -1 (/ (pow y 8) (pow x 8)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1 (* -1 (/ (pow y 8) (pow x 8)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 8 binary64)))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4))))
(*.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4))))
(*.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4))))
(*.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(* (pow x 8) (+ 1 (* -1 (/ (pow y 8) (pow x 8)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1 (* -1 (/ (pow y 8) (pow x 8)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 8 binary64)))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4))))
(*.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4))))
(*.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (/ (pow y 4) (pow x 4))))
(*.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))

rewrite320.0ms (4.8%)

Memory
6.3MiB live, 371.7MiB allocated
Rules
7 736×lower-fma.f32
7 732×lower-fma.f64
3 824×lower-*.f32
3 818×lower-*.f64
3 620×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024109
040119
117291
2119688
0954788
Stop Event
iter limit
node limit
iter limit
Counts
15 → 1 923
Calls
Call 1
Inputs
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(*.f64 (+.f64 x y) (-.f64 x y))
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
(fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))
(pow.f64 x #s(literal 8 binary64))
(pow.f64 y #s(literal 8 binary64))
(+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
Outputs
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (-.f64 (pow.f64 y #s(literal 16 binary64)) (pow.f64 (*.f64 x y) #s(literal 8 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 16 binary64)) (-.f64 (pow.f64 y #s(literal 16 binary64)) (pow.f64 (*.f64 x y) #s(literal 8 binary64))))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64))) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (-.f64 (pow.f64 y #s(literal 16 binary64)) (pow.f64 (*.f64 x y) #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64))))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal -1 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal -1 binary64)) (+.f64 x y)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal -1 binary64)) (-.f64 x y)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) (-.f64 x y)) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) (+.f64 x y)) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 x y) (+.f64 x y))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (-.f64 (pow.f64 y #s(literal 16 binary64)) (pow.f64 (*.f64 x y) #s(literal 8 binary64)))) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64))))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (-.f64 (pow.f64 y #s(literal 16 binary64)) (pow.f64 (*.f64 x y) #s(literal 8 binary64)))) #s(literal -1 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))))
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(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64)))) (pow.f64 y #s(literal 8 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64)))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))))
(+.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)) x) (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)) y))
(+.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)) y) (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)) x))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal 8 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 8 binary64))))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 8 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal 8 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (neg.f64 y))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 x x))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 x x))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y))))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(+.f64 (*.f64 (-.f64 x y) (*.f64 x (fma.f64 y y (*.f64 x x)))) (*.f64 (-.f64 x y) (*.f64 y (fma.f64 y y (*.f64 x x)))))
(+.f64 (*.f64 (-.f64 x y) (*.f64 y (fma.f64 y y (*.f64 x x)))) (*.f64 (-.f64 x y) (*.f64 x (fma.f64 y y (*.f64 x x)))))
(+.f64 (*.f64 (-.f64 x y) (*.f64 (fma.f64 y y (*.f64 x x)) x)) (*.f64 (-.f64 x y) (*.f64 (fma.f64 y y (*.f64 x x)) y)))
(+.f64 (*.f64 (-.f64 x y) (*.f64 (fma.f64 y y (*.f64 x x)) y)) (*.f64 (-.f64 x y) (*.f64 (fma.f64 y y (*.f64 x x)) x)))
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y (-.f64 x y))))
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x (-.f64 x y))))
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x (+.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (neg.f64 y) (+.f64 x y))))
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (-.f64 x y) x)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (-.f64 x y) y)))
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (-.f64 x y) y)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (-.f64 x y) x)))
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) x)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (neg.f64 y))))
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x x)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (neg.f64 y) y)))
(+.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(+.f64 (*.f64 x (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) (*.f64 (neg.f64 y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))))
(+.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (neg.f64 y)) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) x))
(+.f64 (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) x) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (neg.f64 y)))
(+.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)) (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 x x)) (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))))))
(+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

eval562.0ms (8.4%)

Memory
-128.5MiB live, 460.7MiB allocated
Compiler

Compiled 64 430 to 2 904 computations (95.5% saved)

prune73.0ms (1.1%)

Memory
-24.8MiB live, 151.8MiB allocated
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New2 39892 407
Fresh000
Picked325
Done000
Total2 401112 412
Accuracy
100.0%
Counts
2 412 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))
93.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))))
97.1%
(*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 (-.f64 x y) y (*.f64 (-.f64 x y) x)))
94.6%
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
99.8%
(*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))
99.8%
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
94.2%
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (+.f64 x y) (-.f64 x y)))
58.6%
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
56.3%
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)))
58.5%
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
56.4%
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
Compiler

Compiled 295 to 173 computations (41.4% saved)

simplify168.0ms (2.5%)

Memory
41.1MiB live, 189.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y y (*.f64 x x))
cost-diff0
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
cost-diff832
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
cost-diff896
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y)
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))
cost-diff0
(+.f64 x y)
cost-diff0
(-.f64 x y)
cost-diff0
(*.f64 (-.f64 x y) (+.f64 x y))
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 (+.f64 x y) (-.f64 x y))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 x x (*.f64 y y))
cost-diff-5504
(*.f64 (*.f64 x x) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
cost-diff0
(fma.f64 y y (*.f64 x x))
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))
cost-diff0
(-.f64 x y)
Rules
15 400×lower-fma.f32
15 394×lower-fma.f64
3 638×lower-*.f32
3 616×lower-*.f64
1 936×lower-+.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
032246
051239
198235
2245231
3787231
42466222
54777197
08084197
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
(-.f64 x y)
x
y
(*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))
(+.f64 x y)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))
(fma.f64 x x (*.f64 y y))
x
(*.f64 y y)
y
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 x y)
(-.f64 x y)
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))
(*.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
x
y
(+.f64 x y)
(/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))
#s(literal 1 binary64)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
#s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y)
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))
(/.f64 x y)
#s(literal -1 binary64)
Outputs
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 x y)
x
y
(*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))
(*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (*.f64 x x) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
x
(*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
x
(*.f64 y y)
y
(*.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (+.f64 y x) (-.f64 x y))
(+.f64 x y)
(+.f64 y x)
(-.f64 x y)
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 x y) (+.f64 x y))
(*.f64 (+.f64 y x) (-.f64 x y))
(-.f64 x y)
x
y
(+.f64 x y)
(+.f64 y x)
(/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))
#s(literal 1 binary64)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
(*.f64 #s(approx (* (+ x y) (- x y)) (*.f64 (+.f64 y x) (-.f64 x y))) (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
#s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))
#s(approx (* (+ x y) (- x y)) (*.f64 (+.f64 y x) (-.f64 x y)))
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(*.f64 (+.f64 y x) (-.f64 x y))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y)
(fma.f64 (/.f64 x y) x (neg.f64 y))
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -1 binary64))
(/.f64 x y)
#s(literal -1 binary64)

localize119.0ms (1.8%)

Memory
4.8MiB live, 164.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.1171875
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))
accuracy0.12109375
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
accuracy2.6626857271231255
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
accuracy4.051695596080037
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y)
accuracy0
(*.f64 x x)
accuracy0.00390625
(fma.f64 y y (*.f64 x x))
accuracy0.10775375976844201
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))
accuracy0.2422371328237418
(/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))
accuracy0
(*.f64 (+.f64 x y) (-.f64 x y))
accuracy0
(*.f64 y y)
accuracy0.00390625
(fma.f64 x x (*.f64 y y))
accuracy0.12109375
(*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))
accuracy0
(*.f64 x x)
accuracy0.08203125
(*.f64 (*.f64 x x) (*.f64 x x))
accuracy26.492280520426366
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
accuracy0
(*.f64 x x)
accuracy0.00390625
(fma.f64 y y (*.f64 x x))
accuracy0.0703125
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
accuracy0.1015625
(*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))
Samples
100.0ms256×0valid
Compiler

Compiled 227 to 30 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-pow: 29.0ms (45.2% of total)
ival-mult: 21.0ms (32.7% of total)
ival-add: 6.0ms (9.4% of total)
ival-div: 5.0ms (7.8% of total)
ival-sub: 3.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series29.0ms (0.4%)

Memory
-39.8MiB live, 43.7MiB allocated
Counts
19 → 420
Calls
Call 1
Inputs
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (patch (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) (patch #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 x x (*.f64 y y)) (patch (fma.f64 x x (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x y) (+.f64 x y)) (patch (*.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) (patch (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) (patch (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (patch (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (patch (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) y) (pow x 3)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (patch (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* x y) (pow x 2))) (pow x 3)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (patch (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (patch (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt x (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 (pow x 2) (taylor 0 y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) (patch #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) (patch #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) (patch #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) (patch #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 x x (*.f64 y y)) (patch (fma.f64 x x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 x x (*.f64 y y)) (patch (fma.f64 x x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 x x (*.f64 y y)) (patch (fma.f64 x x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 x x (*.f64 y y)) (patch (fma.f64 x x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (* -1 x))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 x y)) (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 x y)) (patch (*.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (* -1 x))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 x y)) (patch (*.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 x y)) (patch (*.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 x y)) (patch (*.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow y 2) (- (/ (pow y 2) (pow x 6)) (/ 1 (pow x 4)))) (/ 1 (pow x 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) (pow x 8))) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow y 2)) (pow x 2)) y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow y 2)) (pow x 2)) y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow y 2)) (pow x 2)) y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) (patch (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) (patch (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) (patch (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) (patch (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) (patch (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) (patch (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) (patch (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) (patch (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 y) (#s(alt (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (patch (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (patch (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (patch (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (patch (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x y) (+.f64 x y)) (patch (*.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x y) (+.f64 x y)) (patch (*.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow y 2) (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow y 6) (pow x 6)))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) (patch (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) (patch (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) (patch (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) (patch (*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) (patch (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) (patch (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) (patch (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) (patch (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (patch (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (patch (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (patch (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (patch (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((- x y) (* (+ x y) (+ (* y y) (* x x))) (+ x y) (+ (* y y) (* x x)) (- (pow x 4) (pow y 4)) (* x x) (* (* x x) (* x x)) (+ (* x x) (* y y)) (* y y) (* (+ x y) (- x y)) (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x))) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (- x y) (* (+ x y) (+ (* y y) (* x x)))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (/ (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x)))) (+ (* (/ x y) (/ x y)) -1))
2.0ms
y
@inf
((- x y) (* (+ x y) (+ (* y y) (* x x))) (+ x y) (+ (* y y) (* x x)) (- (pow x 4) (pow y 4)) (* x x) (* (* x x) (* x x)) (+ (* x x) (* y y)) (* y y) (* (+ x y) (- x y)) (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x))) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (- x y) (* (+ x y) (+ (* y y) (* x x)))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (/ (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x)))) (+ (* (/ x y) (/ x y)) -1))
2.0ms
x
@-inf
((- x y) (* (+ x y) (+ (* y y) (* x x))) (+ x y) (+ (* y y) (* x x)) (- (pow x 4) (pow y 4)) (* x x) (* (* x x) (* x x)) (+ (* x x) (* y y)) (* y y) (* (+ x y) (- x y)) (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x))) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (- x y) (* (+ x y) (+ (* y y) (* x x)))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (/ (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x)))) (+ (* (/ x y) (/ x y)) -1))
2.0ms
y
@-inf
((- x y) (* (+ x y) (+ (* y y) (* x x))) (+ x y) (+ (* y y) (* x x)) (- (pow x 4) (pow y 4)) (* x x) (* (* x x) (* x x)) (+ (* x x) (* y y)) (* y y) (* (+ x y) (- x y)) (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x))) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (- x y) (* (+ x y) (+ (* y y) (* x x)))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (/ (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x)))) (+ (* (/ x y) (/ x y)) -1))
2.0ms
y
@0
((- x y) (* (+ x y) (+ (* y y) (* x x))) (+ x y) (+ (* y y) (* x x)) (- (pow x 4) (pow y 4)) (* x x) (* (* x x) (* x x)) (+ (* x x) (* y y)) (* y y) (* (+ x y) (- x y)) (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x))) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (* (- x y) (* (+ x y) (+ (* y y) (* x x)))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (/ (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x)))) (+ (* (/ x y) (/ x y)) -1))

simplify153.0ms (2.3%)

Memory
41.0MiB live, 233.7MiB allocated
Algorithm
egg-herbie
Rules
10 122×lower-fma.f64
10 122×lower-fma.f32
3 412×lower-*.f64
3 412×lower-*.f32
2 540×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03553949
111023540
235443240
080013121
Stop Event
iter limit
node limit
Counts
420 → 411
Calls
Call 1
Inputs
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(pow x 3)
(+ (* (pow x 2) y) (pow x 3))
(+ (* y (+ (* x y) (pow x 2))) (pow x 3))
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3))
x
(+ x y)
(+ x y)
(+ x y)
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 4)
(+ (* -1 (pow y 4)) (pow x 4))
(+ (* -1 (pow y 4)) (pow x 4))
(+ (* -1 (pow y 4)) (pow x 4))
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow x 2)
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(pow x 2)
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(/ 1 (pow x 2))
(+ (* -1 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))
(+ (* (pow y 2) (- (/ (pow y 2) (pow x 6)) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) (pow x 8))) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))
(/ (pow x 2) y)
(/ (+ (* -1 (pow y 2)) (pow x 2)) y)
(/ (+ (* -1 (pow y 2)) (pow x 2)) y)
(/ (+ (* -1 (pow y 2)) (pow x 2)) y)
(pow x 2)
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(pow x 4)
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(pow x 4)
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(pow x 4)
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(pow x 4)
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(/ (pow x 2) (pow y 2))
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2))
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2))
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(pow y 3)
(* (pow y 3) (+ 1 (/ x y)))
(* (pow y 3) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(* (pow y 3) (+ 1 (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* -1 (pow y 4))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (pow y 2))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(/ 1 (pow y 2))
(/ (+ 1 (* -1 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/ (- (+ 1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))) (pow y 2))
(/ (- (+ 1 (* -1 (/ (pow x 6) (pow y 6)))) (+ (* -1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))) (pow y 2))
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(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1))
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y
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(/ (- (+ 1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))) (pow y 2))
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(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1))
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(- (/ (pow x 2) (pow y 2)) 1)
(- (/ (pow x 2) (pow y 2)) 1)
(- (/ (pow x 2) (pow y 2)) 1)
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(- x y)
(- x y)
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(+ (* x (pow y 2)) (pow y 3))
(+ (* x (+ (* x y) (pow y 2))) (pow y 3))
(+ (* x (+ (* x (+ x y)) (pow y 2))) (pow y 3))
y
(+ x y)
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(+ (pow x 2) (pow y 2))
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(- (pow x 4) (pow y 4))
(- (pow x 4) (pow y 4))
(- (pow x 4) (pow y 4))
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(pow x 4)
(pow x 4)
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(+ (pow x 2) (pow y 2))
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(+ (pow x 2) (pow y 2))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(/ 1 (pow y 2))
(+ (* -1 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2)))
(+ (* (pow x 2) (- (/ (pow x 2) (pow y 6)) (/ 1 (pow y 4)))) (/ 1 (pow y 2)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (/ (pow x 2) (pow y 8))) (/ 1 (pow y 6)))) (/ 1 (pow y 4)))) (/ 1 (pow y 2)))
(* -1 y)
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(+ (* -1 y) (/ (pow x 2) y))
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(* -1 (pow y 4))
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-1
(- (/ (pow x 2) (pow y 2)) 1)
(- (/ (pow x 2) (pow y 2)) 1)
(- (/ (pow x 2) (pow y 2)) 1)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(pow x 3)
(* (pow x 3) (+ 1 (/ y x)))
(* (pow x 3) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))
(* (pow x 3) (+ 1 (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))
x
(* x (+ 1 (/ y x)))
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(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(pow x 2)
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(pow x 2)
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(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
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(/ (pow x 2) y)
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(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))))))
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(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))))))
(pow x 4)
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
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(* -1 (* (pow x 3) (- (* -1 (/ y x)) 1)))
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(* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1)))
x
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(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
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(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(/ 1 (pow x 2))
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(/ (- (+ 1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))) (pow x 2))
(/ (- (+ 1 (* -1 (/ (pow y 6) (pow x 6)))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2)))) (pow x 2))
(/ (pow x 2) y)
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(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(pow x 4)
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(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow x 4)
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow x 4)
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(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow x 4)
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
Outputs
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(+ (* (pow x 2) y) (pow x 3))
(*.f64 (*.f64 (+.f64 y x) x) x)
(+ (* y (+ (* x y) (pow x 2))) (pow x 3))
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) x)
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3))
(*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(pow x 2)
(*.f64 x x)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow x 2)
(*.f64 x x)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
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(pow y 2)
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(*.f64 x x)
(+ (* y (+ x (* -1 x))) (pow x 2))
(*.f64 x x)
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* y (+ x (* -1 x))) (pow x 2))
(*.f64 x x)
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(+ (* -1 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))
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(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)
x
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1 (* (pow x 3) (- (* -1 (/ y x)) 1)))
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 y (fma.f64 (/.f64 y x) y y)) x) y) x)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(/ (- (+ 1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))) (pow x 2))
(/.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(/ (- (+ 1 (* -1 (/ (pow y 6) (pow x 6)))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 y x) x)) x) x)
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 y x) x)) x) x)
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 y x) x)) x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(/ (pow x 2) (pow y 2))
(/.f64 (/.f64 (*.f64 x x) y) y)
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)

rewrite307.0ms (4.6%)

Memory
-4.5MiB live, 430.1MiB allocated
Rules
6 522×lower-fma.f32
6 516×lower-fma.f64
3 920×lower-/.f32
3 914×lower-/.f64
3 588×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032179
051165
1195144
21512144
08434144
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 515
Calls
Call 1
Inputs
(-.f64 x y)
(*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))
(+.f64 x y)
(fma.f64 y y (*.f64 x x))
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 x x)
(*.f64 (*.f64 x x) (*.f64 x x))
(fma.f64 x x (*.f64 y y))
(*.f64 y y)
(*.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (-.f64 x y) (+.f64 x y))
(/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y)
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
(*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 y) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 y x) x) x) (*.f64 y (*.f64 y (+.f64 y x)))) (*.f64 (+.f64 y x) (+.f64 y x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (-.f64 y x) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 y) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 y) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (neg.f64 y) x))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (+.f64 y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 y) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(/.f64 (-.f64 x y) #s(literal 1 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (+.f64 y x))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 y))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 y))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x))))
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x))) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (+.f64 y x))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 1 binary64)))
(-.f64 (/.f64 x #s(literal 1 binary64)) y)
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(-.f64 x y)
(+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(fma.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 (/.f64 x y))) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 x) y) (*.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 x y) x) (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (neg.f64 y))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) (neg.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #s(literal -1 binary64))
(fma.f64 x (/.f64 (/.f64 x y) y) #s(literal -1 binary64))
(fma.f64 x (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))
(fma.f64 x (pow.f64 (*.f64 y (/.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(expm1.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))

eval360.0ms (5.4%)

Memory
30.1MiB live, 689.4MiB allocated
Compiler

Compiled 67 466 to 4 401 computations (93.5% saved)

prune114.0ms (1.7%)

Memory
-37.2MiB live, 173.8MiB allocated
Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New2 465112 476
Fresh224
Picked235
Done112
Total2 470172 487
Accuracy
100.0%
Counts
2 487 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.4%
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
71.3%
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
71.9%
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))
56.1%
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (/ 1 (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y)))
93.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))))
99.5%
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 #s(approx (* (+ (* (/ x y) (/ x y)) -1) y) (fma.f64 (/.f64 x y) x (neg.f64 y))) y)))
99.8%
(*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))
48.9%
(*.f64 (-.f64 x y) (/.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 y y)) (-.f64 x y) (*.f64 (-.f64 x y) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 x x)))) (*.f64 (-.f64 x y) (-.f64 x y))))
99.8%
(*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))))
99.8%
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
94.2%
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) #s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x))))
67.2%
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
70.0%
(*.f64 (-.f64 x y) #s(approx (* (+ x y) (+ (* y y) (* x x))) (*.f64 (*.f64 (+.f64 y x) x) x)))
66.7%
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
56.3%
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)))
58.5%
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
56.4%
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
Compiler

Compiled 531 to 303 computations (42.9% saved)

simplify131.0ms (2%)

Memory
29.3MiB live, 145.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))
cost-diff0
(+.f64 x y)
cost-diff320
(/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))))
cost-diff1792
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (* y y) (* x x)) (*.f64 x x))
cost-diff0
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
cost-diff576
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y)
cost-diff0
(+.f64 x y)
cost-diff0
(-.f64 x y)
cost-diff0
(*.f64 (-.f64 x y) (+.f64 x y))
cost-diff1088
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))
cost-diff0
(*.f64 y y)
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) y)
cost-diff0
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)))
cost-diff0
(neg.f64 (+.f64 y x))
cost-diff0
(-.f64 x y)
cost-diff0
(*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))))
cost-diff1216
(/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))
Rules
6 442×lower-fma.f32
6 438×lower-fma.f64
3 594×lower-*.f32
3 572×lower-*.f64
1 932×lower--.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042354
066350
1136344
2408326
32098322
46174318
08174318
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))))
(-.f64 x y)
x
y
(/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))
(neg.f64 (+.f64 y x))
(+.f64 y x)
(/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))
#s(literal -1 binary64)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(*.f64 y y)
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))
(*.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
x
y
(+.f64 x y)
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))
#s(literal 1 binary64)
#s(approx (+ (* y y) (* x x)) (*.f64 x x))
(*.f64 x x)
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
#s(approx (+ (* y y) (* x x)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y)
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))
(/.f64 x y)
y
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))))
#s(literal 1 binary64)
(/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))))
(+.f64 x y)
x
y
(*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(*.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
Outputs
(*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))))
(*.f64 (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y))
(-.f64 x y)
x
y
(/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))
(*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))
(neg.f64 (+.f64 y x))
(-.f64 (neg.f64 x) y)
(+.f64 y x)
(/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))
#s(literal -1 binary64)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)))
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(*.f64 y y)
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))
(*.f64 (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) (+.f64 y x)) (-.f64 x y))
(*.f64 (-.f64 x y) (+.f64 x y))
(*.f64 (+.f64 y x) (-.f64 x y))
(-.f64 x y)
x
y
(+.f64 x y)
(+.f64 y x)
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))
#s(literal 1 binary64)
#s(approx (+ (* y y) (* x x)) (*.f64 x x))
(*.f64 x x)
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
(*.f64 #s(approx (* (+ x y) (- x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64) (neg.f64 y)) y)) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))
#s(approx (+ (* y y) (* x x)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))
#s(approx (* (+ x y) (- x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64) (neg.f64 y)) y))
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(*.f64 (fma.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64) (neg.f64 y)) y)
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y)
(fma.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64) (neg.f64 y))
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))
(/.f64 x y)
y
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))))
(*.f64 (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y))
#s(literal 1 binary64)
(/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
(+.f64 x y)
(+.f64 y x)
x
y
(*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (*.f64 (+.f64 y x) (-.f64 x y)))
(*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))
(*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(*.f64 (-.f64 x y) (+.f64 x y))
(*.f64 (+.f64 y x) (-.f64 x y))
(-.f64 x y)

localize127.0ms (1.9%)

Memory
-18.0MiB live, 246.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.06640625
(*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))
accuracy0.1015625
(*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))
accuracy0.20511608365890696
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))))
accuracy4.059896655225543
(/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))))
accuracy0.12109375
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
accuracy2.6626857271231255
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
accuracy4.051695596080037
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y)
accuracy26.88274026367049
#s(approx (+ (* y y) (* x x)) (*.f64 x x))
accuracy0
(*.f64 x x)
accuracy0.10775375976844201
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))
accuracy0.2422371328237418
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))
accuracy26.88274026367049
#s(approx (+ (* y y) (* x x)) (*.f64 x x))
accuracy0
(*.f64 y y)
accuracy0
(neg.f64 y)
accuracy0.14681625976844204
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))
accuracy27.923471222886917
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)))
accuracy0.00390625
(fma.f64 y y (*.f64 x x))
accuracy0.0703125
(*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))))
accuracy0.109375
(/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))
accuracy0.2422371328237418
(/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))
Samples
83.0ms256×0valid
Compiler

Compiled 318 to 37 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 18.0ms (33.2% of total)
ival-div: 10.0ms (18.4% of total)
ival-add: 10.0ms (18.4% of total)
ival-sub: 7.0ms (12.9% of total)
ival-pow: 7.0ms (12.9% of total)
ival-neg: 2.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series57.0ms (0.8%)

Memory
16.2MiB live, 93.3MiB allocated
Counts
24 → 516
Calls
Call 1
Inputs
#s(alt (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) (patch (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) (patch (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) (patch #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x y) (+.f64 x y)) (patch (*.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) (patch (*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y y) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))) (patch (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))) (patch (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())
#s(alt (fma.f64 y y (*.f64 x x)) (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (patch (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())
Outputs
#s(alt (pow x 3) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) (patch (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) y) (pow x 3)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) (patch (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* x y) (pow x 2))) (pow x 3)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) (patch (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) (patch (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) (patch (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) (patch (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) (patch (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) (patch (*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 y) x) (taylor 0 y) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 y) x) (taylor 0 y) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 y) x) (taylor 0 y) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) (patch #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) (patch #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) (patch #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (pow x 4)) (taylor 0 y) (#s(alt #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) (patch #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) (patch (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 x y)) (patch (*.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (* -1 x))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 x y)) (patch (*.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 x y)) (patch (*.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 x y)) (patch (*.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (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 (/ (pow x 2) y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow y 2)) (pow x 2)) y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow y 2)) (pow x 2)) y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow y 2)) (pow x 2)) y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (patch (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (patch (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (patch (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (patch (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
6.0ms
y
@inf
((/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x)))) (* (- x y) (/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x))))) (- x y) (neg (+ y x)) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* y y) (/ (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x)))) (* (- x y) (+ x y)) (+ x y) (* (+ (* (/ x y) (/ x y)) -1) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (/ 1 (/ (+ x y) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y))))) (/ (+ x y) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y)))) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y))) (/ -1 (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (* (neg y) y) (* y y)) (/ 1 (+ (* y y) (* x x))) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ x y) (+ (* y y) (* x x))))
4.0ms
x
@0
((/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x)))) (* (- x y) (/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x))))) (- x y) (neg (+ y x)) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* y y) (/ (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x)))) (* (- x y) (+ x y)) (+ x y) (* (+ (* (/ x y) (/ x y)) -1) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (/ 1 (/ (+ x y) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y))))) (/ (+ x y) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y)))) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y))) (/ -1 (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (* (neg y) y) (* y y)) (/ 1 (+ (* y y) (* x x))) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ x y) (+ (* y y) (* x x))))
3.0ms
y
@0
((/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x)))) (* (- x y) (/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x))))) (- x y) (neg (+ y x)) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* y y) (/ (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x)))) (* (- x y) (+ x y)) (+ x y) (* (+ (* (/ x y) (/ x y)) -1) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (/ 1 (/ (+ x y) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y))))) (/ (+ x y) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y)))) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y))) (/ -1 (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (* (neg y) y) (* y y)) (/ 1 (+ (* y y) (* x x))) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ x y) (+ (* y y) (* x x))))
3.0ms
y
@-inf
((/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x)))) (* (- x y) (/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x))))) (- x y) (neg (+ y x)) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* y y) (/ (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x)))) (* (- x y) (+ x y)) (+ x y) (* (+ (* (/ x y) (/ x y)) -1) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (/ 1 (/ (+ x y) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y))))) (/ (+ x y) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y)))) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y))) (/ -1 (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (* (neg y) y) (* y y)) (/ 1 (+ (* y y) (* x x))) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ x y) (+ (* y y) (* x x))))
3.0ms
x
@-inf
((/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x)))) (* (- x y) (/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x))))) (- x y) (neg (+ y x)) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* y y) (/ (* (- x y) (+ x y)) (/ 1 (+ (* y y) (* x x)))) (* (- x y) (+ x y)) (+ x y) (* (+ (* (/ x y) (/ x y)) -1) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (/ 1 (/ (+ x y) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y))))) (/ (+ x y) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y)))) (* (* (+ x y) (+ (* y y) (* x x))) (* (- x y) (+ x y))) (/ -1 (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (* (neg y) y) (* y y)) (/ 1 (+ (* y y) (* x x))) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ x y) (+ (* y y) (* x x))))

simplify192.0ms (2.9%)

Memory
-27.4MiB live, 247.9MiB allocated
Algorithm
egg-herbie
Rules
7 224×lower-fma.f64
7 224×lower-fma.f32
3 770×lower-+.f64
3 770×lower-+.f32
3 282×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07175286
123034710
087094550
Stop Event
iter limit
node limit
Counts
516 → 507
Calls
Call 1
Inputs
(pow x 3)
(+ (* (pow x 2) y) (pow x 3))
(+ (* y (+ (* x y) (pow x 2))) (pow x 3))
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3))
(pow x 4)
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 x)
(- (* -1 y) x)
(- (* -1 y) x)
(- (* -1 y) x)
(pow x 4)
(+ (* -1 (pow y 4)) (pow x 4))
(+ (* -1 (pow y 4)) (pow x 4))
(+ (* -1 (pow y 4)) (pow x 4))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow x 4)
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(pow x 2)
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
x
(+ x y)
(+ x y)
(+ x y)
(/ (pow x 2) y)
(/ (+ (* -1 (pow y 2)) (pow x 2)) y)
(/ (+ (* -1 (pow y 2)) (pow x 2)) y)
(/ (+ (* -1 (pow y 2)) (pow x 2)) y)
(pow x 4)
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 4)
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(/ 1 (pow x 4))
(+ (/ 1 (pow x 4)) (/ (pow y 4) (pow x 8)))
(+ (* (pow y 4) (+ (/ 1 (pow x 8)) (/ (pow y 4) (pow x 12)))) (/ 1 (pow x 4)))
(+ (* (pow y 4) (+ (* (pow y 4) (+ (/ 1 (pow x 12)) (/ (pow y 4) (pow x 16)))) (/ 1 (pow x 8)))) (/ 1 (pow x 4)))
(pow x 5)
(+ (* y (+ (* -1 (pow x 4)) (* 2 (pow x 4)))) (pow x 5))
(+ (* y (+ (* -1 (pow x 4)) (+ (* 2 (pow x 4)) (* y (+ (* -2 (pow x 3)) (* 2 (pow x 3))))))) (pow x 5))
(+ (* y (+ (* -1 (pow x 4)) (+ (* 2 (pow x 4)) (* y (+ (* -2 (pow x 3)) (+ (* 2 (pow x 3)) (* y (+ (* -2 (pow x 2)) (* 2 (pow x 2)))))))))) (pow x 5))
(/ -1 (pow x 2))
(- (/ (pow y 2) (pow x 4)) (/ 1 (pow x 2)))
(- (* (pow y 2) (+ (* -1 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))
(- (* (pow y 2) (+ (* (pow y 2) (- (/ (pow y 2) (pow x 8)) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(/ 1 (pow x 2))
(+ (* -1 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))
(+ (* (pow y 2) (- (/ (pow y 2) (pow x 6)) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) (pow x 8))) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))
(pow x 2)
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(pow x 3)
(+ (* (pow x 2) y) (pow x 3))
(+ (* y (+ (* x y) (pow x 2))) (pow x 3))
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3))
(pow y 3)
(* (pow y 3) (+ 1 (/ x y)))
(* (pow y 3) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(* (pow y 3) (+ 1 (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))
(* -1 (pow y 4))
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* y (- (* -1 (/ x y)) 1))
(* y (- (* -1 (/ x y)) 1))
(* y (- (* -1 (/ x y)) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (pow y 4))
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* -1 y)
(* y (- (/ (pow x 2) (pow y 2)) 1))
(* y (- (/ (pow x 2) (pow y 2)) 1))
(* y (- (/ (pow x 2) (pow y 2)) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* -1 (pow y 4))
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1))
(/ -1 (pow y 4))
(/ (- (* -1 (/ (+ x (* -1 x)) y)) 1) (pow y 4))
(/ (- (* -1 (/ (+ (* -1 (pow x 2)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (pow y 2))) (+ 1 (+ (* -1 (/ x y)) (/ x y)))) (pow y 4))
(/ (- (* -1 (/ (+ (* -1 (pow x 3)) (+ (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (+ (pow x 2) (pow (+ x (* -1 x)) 2)))) (+ (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2)))))))) (pow y 4))
(* -1 (pow y 5))
(* (pow y 5) (- (+ (* -2 (/ x y)) (/ x y)) 1))
(* (pow y 5) (- (+ (* -2 (/ x y)) (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ (pow x 2) (pow y 2))) (/ x y)))) 1))
(* (pow y 5) (- (+ (* -2 (/ x y)) (+ (* -2 (/ (pow x 2) (pow y 2))) (+ (* -2 (/ (pow x 3) (pow y 3))) (+ (* 2 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ (pow x 3) (pow y 3))) (/ x y)))))) 1))
(/ -1 (pow y 2))
(/ (- (/ (pow x 2) (pow y 2)) 1) (pow y 2))
(/ (- (* -1 (/ (pow x 4) (pow y 4))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) (pow y 2))
(/ (- (/ (pow x 6) (pow y 6)) (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 4) (pow y 4))))) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(/ 1 (pow y 2))
(/ (+ 1 (* -1 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/ (- (+ 1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))) (pow y 2))
(/ (- (+ 1 (* -1 (/ (pow x 6) (pow y 6)))) (+ (* -1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))) (pow y 2))
(* -1 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(pow y 3)
(* (pow y 3) (+ 1 (/ x y)))
(* (pow y 3) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(* (pow y 3) (+ 1 (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))
(pow y 3)
(* -1 (* (pow y 3) (- (* -1 (/ x y)) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (/ (pow x 2) y)) y)) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y)) 1)))
(* -1 (pow y 4))
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 4) (- (* -1 (/ (+ (* -1 (+ x (* -1 x))) (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) y)) 1))
(* (pow y 4) (- (* -1 (/ (+ (* -1 (+ x (* -1 x))) (* -1 (/ (+ (* -1 (+ (* -1 (pow x 2)) (pow x 2))) (+ (* -1 (/ (pow x 3) y)) (/ (pow x 3) y))) y))) y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(* -1 (* y (+ 1 (/ x y))))
(* -1 (* y (+ 1 (/ x y))))
(* -1 (* y (+ 1 (/ x y))))
(* -1 (pow y 4))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (pow y 4))
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1))
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) (pow y 2))))))
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) (pow y 2))))))
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) (pow y 2))))))
(* -1 (pow y 4))
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1))
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* -1 (pow y 4))
(* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1))
(* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)))) y)) 1))
(/ -1 (pow y 4))
(/ (- (+ (* -1 (/ x y)) (/ x y)) 1) (pow y 4))
(/ (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) y)) (+ (/ (pow x 2) y) (/ (pow (+ x (* -1 x)) 2) y))) (+ x (* -1 x))) y)) 1) (pow y 4))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x 3) y)) (+ (/ (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (+ (pow x 2) (pow (+ x (* -1 x)) 2)))) y) (+ (/ (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (pow x 2))) y) (/ (pow x 3) y)))) (+ (* -1 (pow x 2)) (+ (pow x 2) (pow (+ x (* -1 x)) 2)))) y)) (+ x (* -1 x))) y)) 1) (pow y 4))
(* -1 (pow y 5))
(* -1 (* (pow y 5) (+ 1 (* -1 (/ (+ x (* -2 x)) y)))))
(* -1 (* (pow y 5) (+ 1 (* -1 (/ (+ x (+ (* -2 x) (* -1 (/ (+ (* -2 (pow x 2)) (* 2 (pow x 2))) y)))) y)))))
(* -1 (* (pow y 5) (+ 1 (* -1 (/ (+ x (+ (* -2 x) (* -1 (/ (+ (* -2 (pow x 2)) (+ (* -1 (/ (+ (* -2 (pow x 3)) (* 2 (pow x 3))) y)) (* 2 (pow x 2)))) y)))) y)))))
(/ -1 (pow y 2))
(/ (- (/ (pow x 2) (pow y 2)) 1) (pow y 2))
(/ (- (* -1 (/ (pow x 4) (pow y 4))) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) (pow y 2))
(/ (- (/ (pow x 6) (pow y 6)) (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 4) (pow y 4))))) (pow y 2))
(pow y 2)
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(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
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(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(/ 1 (pow y 2))
(/ (+ 1 (* -1 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/ (- (+ 1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))) (pow y 2))
(/ (- (+ 1 (* -1 (/ (pow x 6) (pow y 6)))) (+ (* -1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))) (pow y 2))
(* -1 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(pow y 3)
(* -1 (* (pow y 3) (- (* -1 (/ x y)) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (/ (pow x 2) y)) y)) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y)) 1)))
(pow y 3)
(+ (* x (pow y 2)) (pow y 3))
(+ (* x (+ (* x y) (pow y 2))) (pow y 3))
(+ (* x (+ (* x (+ x y)) (pow y 2))) (pow y 3))
(* -1 (pow y 4))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3))))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3)))))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
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(- (* -1 x) y)
(- (* -1 x) y)
(- (* -1 x) y)
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(- (pow x 4) (pow y 4))
(- (pow x 4) (pow y 4))
(- (pow x 4) (pow y 4))
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(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3))))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3)))))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3)))))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
y
(+ x y)
(+ x y)
(+ x y)
(* -1 y)
(+ (* -1 y) (/ (pow x 2) y))
(+ (* -1 y) (/ (pow x 2) y))
(+ (* -1 y) (/ (pow x 2) y))
(* -1 (pow y 4))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3))))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3)))))
(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3)))))
(pow y 2)
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(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
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(+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3)))))
(/ -1 (pow y 4))
(- (* -1 (/ (pow x 4) (pow y 8))) (/ 1 (pow y 4)))
(- (* (pow x 4) (- (* -1 (/ (pow x 4) (pow y 12))) (/ 1 (pow y 8)))) (/ 1 (pow y 4)))
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(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (/ (pow x 2) (pow y 8))) (/ 1 (pow y 6)))) (/ 1 (pow y 4)))) (/ 1 (pow y 2)))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(pow y 3)
(+ (* x (pow y 2)) (pow y 3))
(+ (* x (+ (* x y) (pow y 2))) (pow y 3))
(+ (* x (+ (* x (+ x y)) (pow y 2))) (pow y 3))
(pow x 3)
(* (pow x 3) (+ 1 (/ y x)))
(* (pow x 3) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))
(* (pow x 3) (+ 1 (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))
(pow x 4)
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* -1 x)
(* x (- (* -1 (/ y x)) 1))
(* x (- (* -1 (/ y x)) 1))
(* x (- (* -1 (/ y x)) 1))
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(pow x 4)
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(pow x 4)
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 4)
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))))))
(/ 1 (pow x 4))
(/ (+ 1 (* -1 (/ (+ y (* -1 y)) x))) (pow x 4))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (+ (* -1 (pow (+ y (* -1 y)) 2)) (pow y 2))) (pow x 2)))) (+ (* -1 (/ y x)) (/ y x))) (pow x 4))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (+ (* -1 (pow (+ y (* -1 y)) 2)) (pow y 2))))) (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 3)) (pow y 3)))) (pow x 3)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))) (pow x 4))
(pow x 5)
(* (pow x 5) (+ 1 (+ (* -1 (/ y x)) (* 2 (/ y x)))))
(* (pow x 5) (+ 1 (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ y x)) (+ (* 2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2))))))))
(* (pow x 5) (+ 1 (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (* -2 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (+ (* 2 (/ y x)) (+ (* 2 (/ (pow y 2) (pow x 2))) (* 2 (/ (pow y 3) (pow x 3))))))))))
(/ -1 (pow x 2))
(/ (- (/ (pow y 2) (pow x 2)) 1) (pow x 2))
(/ (- (* -1 (/ (pow y 4) (pow x 4))) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (pow x 2))
(/ (- (/ (pow y 6) (pow x 6)) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 4) (pow x 4))))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(/ 1 (pow x 2))
(/ (+ 1 (* -1 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))) (pow x 2))
(/ (- (+ 1 (* -1 (/ (pow y 6) (pow x 6)))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2)))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(pow x 3)
(* (pow x 3) (+ 1 (/ y x)))
(* (pow x 3) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))
(* (pow x 3) (+ 1 (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))
(pow x 3)
(* -1 (* (pow x 3) (- (* -1 (/ y x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1)))
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (/ (+ y (* -1 y)) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow y 3)) (pow y 3)) x)) (+ (* -1 (pow y 2)) (pow y 2))) x)))) x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 x)
(* -1 (* x (+ 1 (/ y x))))
(* -1 (* x (+ 1 (/ y x))))
(* -1 (* x (+ 1 (/ y x))))
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(pow x 4)
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(pow x 4)
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
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(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(/ 1 (pow x 4))
(/ (+ 1 (* -1 (/ (+ y (* -1 y)) x))) (pow x 4))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* -1 (/ (pow (+ y (* -1 y)) 2) x))) (* -1 (+ y (* -1 y)))) x))) (pow x 4))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (pow y 2))) x)) (+ (* -1 (/ (+ (* -1 (pow y 3)) (pow y 3)) x)) (/ (* (+ y (* -1 y)) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow (+ y (* -1 y)) 2)))) x))) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (* -1 (+ y (* -1 y)))) x))) (pow x 4))
(pow x 5)
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(* -1 (* (pow x 5) (- (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (+ (* -1 (+ y (* -2 y))) (* 2 (/ (pow y 2) x)))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* -1 (+ y (* -2 y))) (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (+ (* -1 (+ (* -2 (pow y 2)) (* 2 (pow y 2)))) (* 2 (/ (pow y 3) x)))) x))) x)) 1)))
(/ -1 (pow x 2))
(/ (- (/ (pow y 2) (pow x 2)) 1) (pow x 2))
(/ (- (* -1 (/ (pow y 4) (pow x 4))) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (pow x 2))
(/ (- (/ (pow y 6) (pow x 6)) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 4) (pow x 4))))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(/ 1 (pow x 2))
(/ (+ 1 (* -1 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))) (pow x 2))
(/ (- (+ 1 (* -1 (/ (pow y 6) (pow x 6)))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2)))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(pow x 3)
(* -1 (* (pow x 3) (- (* -1 (/ y x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1)))
Outputs
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(+ (* (pow x 2) y) (pow x 3))
(*.f64 (*.f64 (+.f64 y x) x) x)
(+ (* y (+ (* x y) (pow x 2))) (pow x 3))
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) x)
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3))
(fma.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) y (pow.f64 x #s(literal 3 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
x
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(* -1 x)
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(-.f64 (neg.f64 y) x)
(- (* -1 y) x)
(-.f64 (neg.f64 y) x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 2))
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(*.f64 (neg.f64 y) y)
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(* -1 (pow y 2))
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(pow y 2)
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(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow x 2)
(*.f64 x x)
(+ (* y (+ x (* -1 x))) (pow x 2))
(*.f64 x x)
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
x
(+ x y)
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(+ x y)
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(+ x y)
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(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
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(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ y (* -1 y)) x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)))) x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow y 3)) (pow y 3)) x)) (+ (* -1 (pow y 2)) (pow y 2))) x)))) x))))
(pow.f64 x #s(literal 4 binary64))
x
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ y x))))
(neg.f64 (fma.f64 (/.f64 y x) x x))
(* -1 (* x (+ 1 (/ y x))))
(neg.f64 (fma.f64 (/.f64 y x) x x))
(* -1 (* x (+ 1 (/ y x))))
(neg.f64 (fma.f64 (/.f64 y x) x x))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 x x))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 (neg.f64 y) x) (neg.f64 x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 (neg.f64 y) x) (neg.f64 x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 (neg.f64 y) x) (neg.f64 x) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 y x) x)) x) x)
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 y x) x)) x) x)
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 y x) x)) x) x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 1 (* -1 (/ (+ y (* -1 y)) x))) (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* -1 (/ (pow (+ y (* -1 y)) 2) x))) (* -1 (+ y (* -1 y)))) x))) (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (pow y 2))) x)) (+ (* -1 (/ (+ (* -1 (pow y 3)) (pow y 3)) x)) (/ (* (+ y (* -1 y)) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow (+ y (* -1 y)) 2)))) x))) (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (* -1 (+ y (* -1 y)))) x))) (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* -1 (* (pow x 5) (- (+ (* -2 (/ y x)) (/ y x)) 1)))
(*.f64 (neg.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (+ (* -1 (+ y (* -2 y))) (* 2 (/ (pow y 2) x)))) x)) 1)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -2 binary64) (fma.f64 (*.f64 y (/.f64 y x)) #s(literal 2 binary64) y)) (neg.f64 x)) #s(literal 1 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* -1 (+ y (* -2 y))) (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (+ (* -1 (+ (* -2 (pow y 2)) (* 2 (pow y 2)))) (* 2 (/ (pow y 3) x)))) x))) x)) 1)))
(*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 y (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 2 binary64) #s(literal 0 binary64))) x)) x) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 x #s(literal 5 binary64)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ (pow y 2) (pow x 2)) 1) (pow x 2))
(/.f64 (/.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) x)
(/ (- (* -1 (/ (pow y 4) (pow x 4))) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x)))) (*.f64 x x))
(/ (- (/ (pow y 6) (pow x 6)) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 4) (pow x 4))))) (pow x 2))
(/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 y x) (/.f64 y x))) #s(literal 1 binary64))) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 x x))
(/ (- (+ 1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))) (pow x 2))
(/.f64 (+.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 y x) (/.f64 y x))) #s(literal 1 binary64)) (*.f64 x x))
(/ (- (+ 1 (* -1 (/ (pow y 6) (pow x 6)))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 x x))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1 (* (pow x 3) (- (* -1 (/ y x)) 1)))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1)))
(*.f64 (fma.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1)))
(*.f64 (fma.f64 (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))

rewrite228.0ms (3.4%)

Memory
18.6MiB live, 335.1MiB allocated
Rules
4 974×lower-/.f32
4 960×lower-/.f64
3 600×lower-fma.f32
3 596×lower-fma.f64
3 102×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042266
066259
1255207
22112203
08205203
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 452
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))
(*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))))
(-.f64 x y)
(neg.f64 (+.f64 y x))
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(*.f64 y y)
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))
(*.f64 (-.f64 x y) (+.f64 x y))
(+.f64 x y)
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y)
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
#s(approx (+ (* y y) (* x x)) (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))))
(/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y))))
(*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))
(/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))
Outputs
(*.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) (neg.f64 (+.f64 x y)))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
(*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))
(*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (neg.f64 (fma.f64 y y (*.f64 x x)))))
(*.f64 (neg.f64 (+.f64 x y)) (neg.f64 (fma.f64 y y (*.f64 x x))))
(pow.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)) (+.f64 x y)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x y) (neg.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 (*.f64 (+.f64 x y) (neg.f64 (fma.f64 y y (*.f64 x x)))) (*.f64 (+.f64 x y) (neg.f64 (fma.f64 y y (*.f64 x x)))) (*.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (+.f64 x y) (neg.f64 (fma.f64 y y (*.f64 x x))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (+.f64 x y) (neg.f64 (fma.f64 y y (*.f64 x x)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (+.f64 x y) (neg.f64 (fma.f64 y y (*.f64 x x)))) (*.f64 (+.f64 x y) (neg.f64 (fma.f64 y y (*.f64 x x)))) (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (neg.f64 (fma.f64 y y (*.f64 x x))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (fma.f64 y y (*.f64 x x))) (*.f64 x (fma.f64 y y (*.f64 x x))) (-.f64 (*.f64 (*.f64 y (fma.f64 y y (*.f64 x x))) (*.f64 y (fma.f64 y y (*.f64 x x)))) (*.f64 (*.f64 x (fma.f64 y y (*.f64 x x))) (*.f64 y (fma.f64 y y (*.f64 x x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (fma.f64 y y (*.f64 x x))) (*.f64 y (fma.f64 y y (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (fma.f64 y y (*.f64 x x))) (*.f64 x (fma.f64 y y (*.f64 x x)))) (*.f64 (*.f64 y (fma.f64 y y (*.f64 x x))) (*.f64 x (fma.f64 y y (*.f64 x x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 y y (*.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 y y (*.f64 x x)) x) (*.f64 (fma.f64 y y (*.f64 x x)) x) (-.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (fma.f64 y y (*.f64 x x)) y)) (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) x) (*.f64 (fma.f64 y y (*.f64 x x)) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 y y (*.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (fma.f64 y y (*.f64 x x)) y) (-.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) x) (*.f64 (fma.f64 y y (*.f64 x x)) x)) (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (fma.f64 y y (*.f64 x x)) x)))))
(/.f64 (fma.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 y (+.f64 x y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x y) x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y (*.f64 y (+.f64 x y))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 x y) x) x) (*.f64 y (*.f64 y (+.f64 x y)))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 x y)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 y x)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 x y)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 y y (*.f64 x x)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 x x)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
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(/.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x))))
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(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 (-.f64 y x) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x (*.f64 (neg.f64 y) y))) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 x y)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x x (*.f64 (neg.f64 y) y))) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 x y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 y x)))
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(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 x y) (neg.f64 (fma.f64 y y (*.f64 x x)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 y x))
(/.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))) (*.f64 (neg.f64 (+.f64 x y)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (neg.f64 (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (neg.f64 (+.f64 x y)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 y y (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (+.f64 x y) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 x y) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (*.f64 y (+.f64 x y))) (*.f64 (*.f64 (+.f64 x y) x) x)) (-.f64 (pow.f64 (*.f64 y (*.f64 y (+.f64 x y))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 x y) x) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 y (+.f64 x y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x y) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 y (+.f64 x y))) (*.f64 (*.f64 (+.f64 x y) x) x)))) (fma.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y x) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 x y)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x (*.f64 (neg.f64 y) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 x y) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 x y)) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x x (*.f64 (neg.f64 y) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 y x)) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (+.f64 x y) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y))) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)) (+.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)) (+.f64 x y)))
(/.f64 (+.f64 x y) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)) (+.f64 x y))))
(/.f64 (neg.f64 (+.f64 x y)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))))
(neg.f64 (*.f64 (+.f64 x y) (neg.f64 (fma.f64 y y (*.f64 x x)))))
(fma.f64 (*.f64 (+.f64 x y) y) y (*.f64 (*.f64 (+.f64 x y) x) x))
(fma.f64 (*.f64 (+.f64 x y) x) x (*.f64 y (*.f64 y (+.f64 x y))))
(fma.f64 (+.f64 x y) (*.f64 y y) (*.f64 (*.f64 (+.f64 x y) x) x))
(fma.f64 (+.f64 x y) (*.f64 x x) (*.f64 y (*.f64 y (+.f64 x y))))
(fma.f64 (*.f64 y y) (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) x) x))
(fma.f64 (fma.f64 y y (*.f64 x x)) x (*.f64 (fma.f64 y y (*.f64 x x)) y))
(fma.f64 (fma.f64 y y (*.f64 x x)) y (*.f64 (fma.f64 y y (*.f64 x x)) x))
(fma.f64 (*.f64 x x) (+.f64 x y) (*.f64 y (*.f64 y (+.f64 x y))))
(fma.f64 x (*.f64 x (+.f64 x y)) (*.f64 y (*.f64 y (+.f64 x y))))
(fma.f64 x (fma.f64 y y (*.f64 x x)) (*.f64 y (fma.f64 y y (*.f64 x x))))
(fma.f64 y (*.f64 y (+.f64 x y)) (*.f64 (*.f64 (+.f64 x y) x) x))
(fma.f64 y (fma.f64 y y (*.f64 x x)) (*.f64 x (fma.f64 y y (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))))
(-.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 y (+.f64 x y))) #s(literal 2 binary64)) (-.f64 (*.f64 y (*.f64 y (+.f64 x y))) (*.f64 (*.f64 (+.f64 x y) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x y) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 y (*.f64 y (+.f64 x y))) (*.f64 (*.f64 (+.f64 x y) x) x))))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (-.f64 x y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 x y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 y x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (-.f64 y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (+.f64 x y) (neg.f64 (fma.f64 y y (*.f64 x x)))))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (neg.f64 (fma.f64 y y (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)) (+.f64 x y))) #s(literal -1 binary64)))
(+.f64 (*.f64 x (fma.f64 y y (*.f64 x x))) (*.f64 y (fma.f64 y y (*.f64 x x))))
(+.f64 (*.f64 y (fma.f64 y y (*.f64 x x))) (*.f64 x (fma.f64 y y (*.f64 x x))))
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) x) (*.f64 (fma.f64 y y (*.f64 x x)) y))
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (fma.f64 y y (*.f64 x x)) x))
(+.f64 (*.f64 y (*.f64 y (+.f64 x y))) (*.f64 (*.f64 (+.f64 x y) x) x))
(+.f64 (*.f64 (*.f64 (+.f64 x y) x) x) (*.f64 y (*.f64 y (+.f64 x y))))

eval565.0ms (8.4%)

Memory
15.7MiB live, 628.0MiB allocated
Compiler

Compiled 76 525 to 6 453 computations (91.6% saved)

prune145.0ms (2.2%)

Memory
-10.0MiB live, 172.5MiB allocated
Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New2 59982 607
Fresh448
Picked325
Done044
Total2 606182 624
Accuracy
100.0%
Counts
2 624 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.3%
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
56.1%
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (/ 1 (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y)))
58.5%
(/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))
93.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))))))
70.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (*.f64 (-.f64 x y) (+.f64 x y)))))
99.8%
(*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))
67.1%
(*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))
99.8%
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
94.2%
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) #s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x))))
67.2%
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
70.0%
(*.f64 (-.f64 x y) #s(approx (/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x)))) (*.f64 (*.f64 (+.f64 y x) x) x)))
57.7%
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 y y)))))
66.7%
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
71.6%
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 #s(approx (* (+ (* (/ x y) (/ x y)) -1) y) (fma.f64 x (/.f64 x y) (neg.f64 y))) y)))
28.7%
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 #s(approx (* (+ (* (/ x y) (/ x y)) -1) y) (neg.f64 y)) y)))
56.3%
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)))
58.5%
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
56.4%
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
Compiler

Compiled 812 to 301 computations (62.9% saved)

regimes69.0ms (1%)

Memory
-7.3MiB live, 67.8MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)))
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 #s(approx (* (+ (* (/ x y) (/ x y)) -1) y) (neg.f64 y)) y)))
(*.f64 (-.f64 x y) #s(approx (* (+ x y) (+ (* y y) (* x x))) (*.f64 (*.f64 (+.f64 y x) x) x)))
(*.f64 (-.f64 x y) #s(approx (/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x)))) (*.f64 (*.f64 (+.f64 y x) x) x)))
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
(*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 #s(approx (* (- x y) (+ x y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))
(*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 (-.f64 x y) y (*.f64 (-.f64 x y) x)))
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 #s(approx (* (+ (* (/ x y) (/ x y)) -1) y) (fma.f64 x (/.f64 x y) (neg.f64 y))) y)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
(*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 #s(approx (* (+ (* (/ x y) (/ x y)) -1) y) (fma.f64 (/.f64 x y) x (neg.f64 y))) y)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))
(*.f64 (-.f64 x y) (/.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))))
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 y y)))))
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) #s(approx (+ (* y y) (* x x)) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x))))
(*.f64 (fma.f64 y y (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (*.f64 (-.f64 x y) (+.f64 x y)))))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 x y) (+.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(approx (/ 1 (+ (* y y) (* x x))) (/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y)))
(*.f64 (-.f64 x y) (/.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 y y)) (-.f64 x y) (*.f64 (-.f64 x y) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 x x)))) (*.f64 (-.f64 x y) (-.f64 x y))))
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
Outputs
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
Calls

5 calls:

27.0ms
(pow.f64 y #s(literal 4 binary64))
14.0ms
y
9.0ms
x
8.0ms
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
8.0ms
(pow.f64 x #s(literal 4 binary64))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
99.8%1(pow.f64 x #s(literal 4 binary64))
99.8%1(pow.f64 y #s(literal 4 binary64))
Compiler

Compiled 15 to 18 computations (-20% saved)

regimes36.0ms (0.5%)

Memory
-21.4MiB live, 19.0MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)))
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 #s(approx (* (+ (* (/ x y) (/ x y)) -1) y) (neg.f64 y)) y)))
(*.f64 (-.f64 x y) #s(approx (* (+ x y) (+ (* y y) (* x x))) (*.f64 (*.f64 (+.f64 y x) x) x)))
(*.f64 (-.f64 x y) #s(approx (/ (neg (+ y x)) (/ -1 (+ (* y y) (* x x)))) (*.f64 (*.f64 (+.f64 y x) x) x)))
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
Outputs
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)))
(*.f64 (-.f64 x y) #s(approx (* (+ x y) (+ (* y y) (* x x))) (*.f64 (*.f64 (+.f64 y x) x) x)))
Calls

5 calls:

26.0ms
x
3.0ms
y
2.0ms
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
2.0ms
(pow.f64 y #s(literal 4 binary64))
2.0ms
(pow.f64 x #s(literal 4 binary64))
Results
AccuracySegmentsBranch
95.7%3x
91.9%3y
99.3%2(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
94.9%2(pow.f64 x #s(literal 4 binary64))
91.3%2(pow.f64 y #s(literal 4 binary64))
Compiler

Compiled 15 to 18 computations (-20% saved)

regimes5.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)))
(*.f64 #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #s(approx (* (+ x y) (- x y)) (*.f64 #s(approx (* (+ (* (/ x y) (/ x y)) -1) y) (neg.f64 y)) y)))
Outputs
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)))
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
Calls

3 calls:

2.0ms
x
2.0ms
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
1.0ms
(pow.f64 x #s(literal 4 binary64))
Results
AccuracySegmentsBranch
85.8%3x
84.5%2(pow.f64 x #s(literal 4 binary64))
93.9%2(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes6.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
Outputs
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
Calls

5 calls:

1.0ms
y
1.0ms
x
1.0ms
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
1.0ms
(pow.f64 x #s(literal 4 binary64))
1.0ms
(pow.f64 y #s(literal 4 binary64))
Results
AccuracySegmentsBranch
58.5%1x
58.5%1(pow.f64 x #s(literal 4 binary64))
58.5%1y
58.5%1(pow.f64 y #s(literal 4 binary64))
58.5%1(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
Compiler

Compiled 15 to 18 computations (-20% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.83397870084e-313
0.0
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.83397870084e-313
0.0
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify51.0ms (0.8%)

Memory
5.8MiB live, 44.1MiB allocated
Algorithm
egg-herbie
Rules
22×*-commutative-binary64-*.f64
14×+-commutative-binary64-+.f64
12×sub-neg-binary64-neg.f64-+.f64--.f64
neg-sub0-binary64--.f64-neg.f64
neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036119
152119
262119
369119
473119
574119
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -80960901323/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) (*.f64 (-.f64 x y) #s(approx (* (+ x y) (+ (* y y) (* x x))) (*.f64 (*.f64 (+.f64 y x) x) x))))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -80960901323/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
Outputs
(*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
(*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)) (-.f64 x y))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -80960901323/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) (*.f64 (-.f64 x y) #s(approx (* (+ x y) (+ (* y y) (* x x))) (*.f64 (*.f64 (+.f64 y x) x) x))))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -80960901323/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 (neg.f64 y) y))) (*.f64 #s(approx (* (+ x y) (+ (* y y) (* x x))) (*.f64 (*.f64 (+.f64 y x) x) x)) (-.f64 x y)))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -80960901323/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -80960901323/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 y y) (*.f64 (neg.f64 y) y))) #s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))

soundness996.0ms (14.9%)

Memory
-14.8MiB live, 506.2MiB allocated
Rules
19 848×lower-fma.f64
19 848×lower-fma.f32
10 122×lower-fma.f64
10 122×lower-fma.f32
7 736×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03553949
111023540
235443240
080013121
017219
137219
267219
3168219
4343219
5621219
62846219
75704219
08227219
024109
040119
117291
2119688
0954788
0613
0913
13613
222513
3198913
0860713
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 221 to 118 computations (46.6% saved)

preprocess95.0ms (1.4%)

Memory
12.2MiB live, 90.3MiB allocated
Compiler

Compiled 174 to 66 computations (62.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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