Numeric.Integration.TanhSinh:everywhere from integration-0.2.1

Time bar (total: 7.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample884.0ms (12.5%)

Memory
4.9MiB live, 917.9MiB allocated
Samples
507.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 161.0ms
ival-mult: 112.0ms (69.6% of total)
ival-add: 36.0ms (22.4% of total)
ival-true: 6.0ms (3.7% of total)
exact: 4.0ms (2.5% of total)
ival-assert: 3.0ms (1.9% of total)
Bogosity

explain276.0ms (3.9%)

Memory
8.0MiB live, 131.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
140-0-(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(*.f64 y y)
00-0-(+.f64 #s(literal 1 binary64) (*.f64 y y))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))n*o140
Confusion
Predicted +Predicted -
+140
-0242
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1400
-00242
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0242
114
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
122.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (72.3% of total)
ival-add: 2.0ms (20.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess193.0ms (2.7%)

Memory
21.2MiB live, 58.4MiB allocated
Algorithm
egg-herbie
Rules
158×associate-*r*
124×distribute-lft-in
112×unsub-neg
92×associate-*l*
82×distribute-lft-neg-out
Iterations

Useful iterations: 0 (0.0ms)

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

(abs y)

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0.1%)

Memory
-31.4MiB live, 7.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 y y))
Rules
46×lower-*.f32
42×lower-*.f64
22×lower-fma.f64
22×lower-fma.f32
14×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

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

localize16.0ms (0.2%)

Memory
-4.4MiB live, 41.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy0
(*.f64 y y)
accuracy3.3241355006128557
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
Samples
10.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (66.2% of total)
ival-add: 1.0ms (22.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Counts
3 → 48
Calls
Call 1
Inputs
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify235.0ms (3.3%)

Memory
22.1MiB live, 178.2MiB allocated
Algorithm
egg-herbie
Rules
9 064×lower-fma.f64
9 064×lower-fma.f32
6 574×lower-*.f64
6 574×lower-*.f32
2 432×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015246
142246
274246
3214246
4721246
51940246
62658246
73752246
85094246
95986246
106927246
117270246
127376246
137453246
147522246
157669246
08207216
Stop Event
iter limit
node limit
Counts
48 → 47
Calls
Call 1
Inputs
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
x
(+ x (* x (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(+ x (* x (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(+ x (* x (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(* x (+ 1 (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))

rewrite266.0ms (3.8%)

Memory
-20.1MiB live, 177.8MiB allocated
Rules
5 176×lower-fma.f64
5 176×lower-fma.f32
4 882×lower-/.f64
4 882×lower-/.f32
4 246×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13415
220915
3140415
0826913
Stop Event
iter limit
node limit
iter limit
Counts
3 → 368
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 y y)
Outputs
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (pow.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) (*.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))
(*.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 x (*.f64 y y)) x) (*.f64 x x)))
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 y y)) x) (-.f64 (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(fma.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(fma.f64 (*.f64 x y) y x)
(fma.f64 (*.f64 x x) (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1 binary64) x)
(fma.f64 x (*.f64 y y) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 y y)))
(fma.f64 (*.f64 y y) x x)
(fma.f64 y (*.f64 x y) x)
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 y y)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 y y)) x)))
(-.f64 (*.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(+.f64 (*.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(+.f64 (*.f64 x (*.f64 y y)) x)
(+.f64 x (*.f64 x (*.f64 y y)))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval65.0ms (0.9%)

Memory
-9.0MiB live, 108.3MiB allocated
Compiler

Compiled 9 642 to 1 119 computations (88.4% saved)

prune9.0ms (0.1%)

Memory
27.7MiB live, 27.7MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4105415
Fresh000
Picked101
Done000
Total4115416
Accuracy
100.0%
Counts
416 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 x y) y x)
69.1%
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
94.8%
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
45.3%
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
53.8%
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
Compiler

Compiled 72 to 62 computations (13.9% saved)

simplify189.0ms (2.7%)

Memory
-23.9MiB live, 176.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 y #s(literal 4 binary64))
cost-diff0
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
cost-diff0
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
cost-diff0
(fma.f64 y y #s(literal 1 binary64))
cost-diff0
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff6848
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
cost-diff0
(*.f64 y y)
cost-diff0
#s(approx (+ 1 (* y y)) (*.f64 y y))
cost-diff0
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
cost-diff0
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
cost-diff0
(*.f64 x y)
cost-diff0
(fma.f64 (*.f64 x y) y x)
Rules
8 912×lower-fma.f32
8 906×lower-fma.f64
2 458×lower-*.f32
2 448×lower-*.f64
2 078×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022112
036106
156106
281106
3144106
4238106
5519106
61105106
71949106
83939106
95645106
106965106
117649106
08022106
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
x
y
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
x
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
x
#s(approx (+ 1 (* y y)) (*.f64 y y))
(*.f64 y y)
y
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
x
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
#s(literal -1 binary64)
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(literal 1 binary64)
x
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
(fma.f64 (*.f64 x y) y x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
(*.f64 #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) x)
x
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
(*.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) x)
x
#s(approx (+ 1 (* y y)) (*.f64 y y))
(*.f64 y y)
y
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
x
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
#s(literal -1 binary64)
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(literal 1 binary64)
x
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)

localize86.0ms (1.2%)

Memory
-0.3MiB live, 117.4MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 y #s(literal 4 binary64))
accuracy0
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
accuracy2.574827485147557
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
accuracy14.468068697509713
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
accuracy0
(fma.f64 y y #s(literal 1 binary64))
accuracy0.37242355653546516
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy3.3124167506128557
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy0
(*.f64 y y)
accuracy3.3241355006128557
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
accuracy31.859995611444887
#s(approx (+ 1 (* y y)) (*.f64 y y))
accuracy3.3241355006128557
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
accuracy29.795850239569727
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
accuracy0
(*.f64 x y)
accuracy0.05078125
(fma.f64 (*.f64 x y) y x)
Samples
69.0ms256×0valid
Compiler

Compiled 108 to 21 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-div: 36.0ms (66.5% of total)
ival-mult: 7.0ms (12.9% of total)
ival-pow: 5.0ms (9.2% of total)
ival-add: 4.0ms (7.4% of total)
ival-sub: 1.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory
13.5MiB live, 52.0MiB allocated
Counts
14 → 252
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* y y)) (*.f64 y y)) (patch #s(approx (+ 1 (* y y)) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 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 x (taylor 0 y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) (*.f64 y y)) (patch #s(approx (+ 1 (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) (*.f64 y y)) (patch #s(approx (+ 1 (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) (*.f64 y y)) (patch #s(approx (+ 1 (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) (*.f64 y y)) (patch #s(approx (+ 1 (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor -inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor -inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor -inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor -inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))
3.0ms
x
@inf
((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))
2.0ms
y
@inf
((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))
2.0ms
x
@0
((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))
2.0ms
y
@-inf
((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))

simplify163.0ms (2.3%)

Memory
-12.9MiB live, 162.9MiB allocated
Algorithm
egg-herbie
Rules
8 950×lower-fma.f64
8 950×lower-fma.f32
3 356×lower-*.f64
3 356×lower-*.f32
1 852×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0551542
11421519
23301515
39541511
438171511
578511511
082551378
Stop Event
iter limit
node limit
Counts
252 → 247
Calls
Call 1
Inputs
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (pow y 2) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1)))
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* -1 x)
(+ (* -1 x) (* x (pow y 4)))
(+ (* -1 x) (* x (pow y 4)))
(+ (* -1 x) (* x (pow y 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)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ 1 (pow y 2))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 4))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(pow y 4)
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ 1 (pow y 2))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 4))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(pow y 4)
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
Outputs
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (pow y 2) 1)))
(-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* x (pow y 4)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(+ (* -1 x) (* x (pow y 4)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(+ (* -1 x) (* x (pow y 4)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
-1
#s(literal -1 binary64)
(- (pow y 4) 1)
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(- (pow y 4) 1)
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(- (pow y 4) 1)
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 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))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 y y))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)) y) y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) x)
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 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))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 y y))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)) y) y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) x)
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 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))
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(* x (- (pow y 4) 1))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(* x (- (pow y 4) 1))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(* x (- (pow y 4) 1))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(* x (- (pow y 4) 1))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(* x (- (pow y 4) 1))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(* x (- (pow y 4) 1))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(* x (- (pow y 4) 1))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(* x (- (pow y 4) 1))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(* x (- (pow y 4) 1))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(* x (- (pow y 4) 1))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(* x (- (pow y 4) 1))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(* x (- (pow y 4) 1))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)

rewrite679.0ms (9.6%)

Memory
-3.2MiB live, 272.4MiB allocated
Rules
8 136×lower-fma.f32
8 130×lower-fma.f64
5 230×lower-*.f32
5 220×lower-*.f64
4 420×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02293
03681
114181
285781
0842381
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 645
Calls
Call 1
Inputs
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
#s(approx (+ 1 (* y y)) (*.f64 y y))
(*.f64 y y)
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 4 binary64))
Outputs
(*.f64 (/.f64 (*.f64 x (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) #s(literal 2 binary64)))) (fma.f64 x (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64)) (pow.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64)) (*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (-.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) y x)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) y x)) (+.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) y x)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) y x)) (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (-.f64 (pow.f64 y #s(literal 16 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (+.f64 (pow.f64 y #s(literal 24 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 y #s(literal 12 binary64))))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 x (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (*.f64 x (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x))) (fma.f64 (*.f64 y x) y x))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))))) (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (-.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 x (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) (/.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) y x))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 y #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)))
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)))
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 y #s(literal 1 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1/2 binary64))))
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(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64)) (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y)))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y)))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y) (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y) (-.f64 #s(literal -1 binary64) (*.f64 y y)))
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 y y)))
(fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y)) (-.f64 #s(literal -1 binary64) (*.f64 y y)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 y (*.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 y) y)) #s(literal -1 binary64))
(fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 y y)))
(fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (-.f64 #s(literal -1 binary64) (*.f64 y y)))
(fma.f64 y (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
(expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y)))
(+.f64 (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y)) (-.f64 #s(literal -1 binary64) (*.f64 y y)))
(+.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(+.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y)))
(+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64)))))
(+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (*.f64 y #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal 3 binary64)) y)
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (*.f64 y y) (*.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 y y) (*.f64 y y))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 y (*.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 y) y)))
(*.f64 y (pow.f64 y #s(literal 3 binary64)))
(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 y #s(literal 4 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))

eval570.0ms (8%)

Memory
38.5MiB live, 456.3MiB allocated
Compiler

Compiled 38 486 to 3 221 computations (91.6% saved)

prune39.0ms (0.6%)

Memory
7.9MiB live, 128.8MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1 88841 892
Fresh000
Picked235
Done000
Total1 89071 897
Accuracy
100.0%
Counts
1 897 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 x y) y x)
69.0%
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64)))
45.3%
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
99.4%
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
86.7%
(*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
45.3%
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
53.8%
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
Compiler

Compiled 78 to 50 computations (35.9% saved)

simplify134.0ms (1.9%)

Memory
-5.1MiB live, 185.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
cost-diff0
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x)
cost-diff320
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y))
cost-diff1792
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64)))
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff0
#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
cost-diff0
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
cost-diff0
(fma.f64 (*.f64 y x) y x)
cost-diff0
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))
cost-diff0
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
cost-diff26880
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
cost-diff0
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
cost-diff0
(-.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 x (-.f64 y #s(literal 1 binary64)))
cost-diff1408
(*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
Rules
14 242×lower-fma.f32
14 236×lower-fma.f64
3 160×lower-*.f32
3 146×lower-*.f64
2 542×lower-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027197
046193
186187
2216187
31022155
45167155
57841155
08178155
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
(/.f64 x (-.f64 y #s(literal 1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))
(fma.f64 (*.f64 y x) y x)
(*.f64 y x)
y
x
#s(literal -1 binary64)
#s(literal -1/2 binary64)
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
x
#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x)
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(-.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
x
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
(*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/.f64 x (-.f64 y #s(literal 1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal -1 binary64))
(fma.f64 (*.f64 y x) y x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 y x)
y
x
#s(literal -1 binary64)
#s(literal -1/2 binary64)
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
x
#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x)
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(-.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
x
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)

localize96.0ms (1.4%)

Memory
-16.4MiB live, 140.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.046875
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y))
accuracy0.0546875
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
accuracy2.574827485147557
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x)
accuracy14.468068697509713
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64)))
accuracy0
(*.f64 y y)
accuracy0.42320480653546516
(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy3.3124167506128557
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
accuracy31.86322348868521
#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
accuracy0.05078125
(fma.f64 (*.f64 y x) y x)
accuracy0.2822359015982476
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))
accuracy0.34765625
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
accuracy11.028292423735023
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
accuracy0
(-.f64 y #s(literal 1 binary64))
accuracy0.01171875
(/.f64 x (-.f64 y #s(literal 1 binary64)))
accuracy0.0546875
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
accuracy7.639161786885645
(*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
Samples
70.0ms256×0valid
Compiler

Compiled 204 to 27 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 25.0ms (50.2% of total)
ival-pow: 10.0ms (20.1% of total)
ival-div: 8.0ms (16.1% of total)
ival-add: 4.0ms (8% of total)
ival-sub: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series33.0ms (0.5%)

Memory
-4.0MiB live, 61.2MiB allocated
Counts
15 → 288
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 x (-.f64 y #s(literal 1 binary64))) (patch (/.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y x) y x) (patch (fma.f64 (*.f64 y x) y x) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (patch (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (patch #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (/.f64 x (-.f64 y #s(literal 1 binary64))) (patch (/.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* -1 (* x y))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 y #s(literal 1 binary64))) (patch (/.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* y (- (* -1 (* x y)) x))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 y #s(literal 1 binary64))) (patch (/.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 y #s(literal 1 binary64))) (patch (/.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 (* -1 y))) 1) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* y (+ 1 (* y (- y 1)))) 1) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt x) (* 1/2 (* (sqrt x) (pow y 2)))) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt x) (* (pow y 2) (+ (* -1/8 (* (sqrt x) (pow y 2))) (* 1/2 (sqrt x))))) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt x) (* (pow y 2) (+ (* 1/2 (sqrt x)) (* (pow y 2) (+ (* -1/8 (sqrt x)) (* 1/16 (* (sqrt x) (pow y 2)))))))) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow y 2) x)) (/ 1 x)) (taylor 0 y) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) y x) (patch (fma.f64 (*.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) y x) (patch (fma.f64 (*.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) y x) (patch (fma.f64 (*.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) y x) (patch (fma.f64 (*.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (patch (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (patch (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (patch (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (patch (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (patch #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (patch #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (pow y 2) 1))) (taylor 0 y) (#s(alt #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (patch #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1))) (taylor 0 y) (#s(alt #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (patch #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 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 x (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 4) 1) (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 4) 1) (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 4) 1) (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (patch (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (taylor inf x) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (taylor inf x) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (taylor inf x) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (taylor inf x) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ x (- y 1)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 y #s(literal 1 binary64))) (patch (/.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x (- y 1)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 y #s(literal 1 binary64))) (patch (/.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x (- y 1)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 y #s(literal 1 binary64))) (patch (/.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x (- y 1)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 y #s(literal 1 binary64))) (patch (/.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) y x) (patch (fma.f64 (*.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) y x) (patch (fma.f64 (*.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) y x) (patch (fma.f64 (*.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) y x) (patch (fma.f64 (*.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (patch (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (patch (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (patch (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (patch (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@inf
((* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (- y 1) (* (+ (* y y) 1) (- y 1)) (* (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (pow (+ (* (* y x) y) x) -1) -1/2)) (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (+ (* (* y x) y) x) -1) (+ (* (* y x) y) x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (+ (* y y) -1)) (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x))
5.0ms
x
@0
((* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (- y 1) (* (+ (* y y) 1) (- y 1)) (* (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (pow (+ (* (* y x) y) x) -1) -1/2)) (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (+ (* (* y x) y) x) -1) (+ (* (* y x) y) x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (+ (* y y) -1)) (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x))
4.0ms
x
@-inf
((* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (- y 1) (* (+ (* y y) 1) (- y 1)) (* (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (pow (+ (* (* y x) y) x) -1) -1/2)) (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (+ (* (* y x) y) x) -1) (+ (* (* y x) y) x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (+ (* y y) -1)) (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x))
2.0ms
y
@-inf
((* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (- y 1) (* (+ (* y y) 1) (- y 1)) (* (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (pow (+ (* (* y x) y) x) -1) -1/2)) (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (+ (* (* y x) y) x) -1) (+ (* (* y x) y) x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (+ (* y y) -1)) (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x))
2.0ms
y
@inf
((* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (- y 1) (* (+ (* y y) 1) (- y 1)) (* (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (pow (+ (* (* y x) y) x) -1) -1/2)) (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (+ (* (* y x) y) x) -1) (+ (* (* y x) y) x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (+ (* y y) -1)) (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x))

simplify229.0ms (3.2%)

Memory
15.0MiB live, 170.4MiB allocated
Algorithm
egg-herbie
Rules
11 936×lower-fma.f64
11 936×lower-fma.f32
4 922×lower-*.f64
4 922×lower-*.f32
2 080×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01962260
15642197
216652125
359582116
085891964
Stop Event
iter limit
node limit
Counts
288 → 281
Calls
Call 1
Inputs
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* -1 x)
(+ (* -1 x) (* -1 (* x y)))
(+ (* -1 x) (* y (- (* -1 (* x y)) x)))
(+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x)))
-1
(- y 1)
(- y 1)
(- y 1)
-1
(- y 1)
(- (* y (+ 1 (* -1 y))) 1)
(- (* y (+ 1 (* y (- y 1)))) 1)
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(sqrt x)
(+ (sqrt x) (* 1/2 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/8 (* (sqrt x) (pow y 2))) (* 1/2 (sqrt x)))))
(+ (sqrt x) (* (pow y 2) (+ (* 1/2 (sqrt x)) (* (pow y 2) (+ (* -1/8 (sqrt x)) (* 1/16 (* (sqrt x) (pow y 2))))))))
(/ 1 x)
(+ (* -1 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (pow y 2) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1)))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
-1
(- (pow y 4) 1)
(- (pow y 4) 1)
(- (pow y 4) 1)
(* -1 x)
(+ (* -1 x) (* x (pow y 4)))
(+ (* -1 x) (* x (pow y 4)))
(+ (* -1 x) (* x (pow y 4)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ x y)
(/ (+ x (/ x y)) y)
(/ (- (+ x (/ x (pow y 2))) (* -1 (/ x y))) y)
(/ (- (+ x (/ x (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))) y)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(pow y 3)
(* (pow y 3) (- 1 (/ 1 y)))
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (sqrt x) y)
(* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ 1 (pow y 2))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(pow y 4)
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* x (pow y 4))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ x y)
(* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x y)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y))) y))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(pow y 3)
(* -1 (* (pow y 3) (- (/ 1 y) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 1) y)) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* -1 (* (sqrt x) y))
(* -1 (* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ 1 (pow y 2))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(pow y 4)
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* x (pow y 4))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ x (- y 1))
(/ x (- y 1))
(/ x (- y 1))
(/ x (- y 1))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1))
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1))
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1))
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1))
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1))))
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1))))
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1))))
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ x (- y 1))
(/ x (- y 1))
(/ x (- y 1))
(/ x (- y 1))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1))
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1))
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1))
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1))
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1))))
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1))))
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1))))
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ x (- y 1))
(/ x (- y 1))
(/ x (- y 1))
(/ x (- y 1))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(/ -1 (* x (- (* -1 (pow y 2)) 1)))
(/ -1 (* x (- (* -1 (pow y 2)) 1)))
(/ -1 (* x (- (* -1 (pow y 2)) 1)))
(/ -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1))
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1))
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1))
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1))
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1))))
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1))))
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1))))
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1))))
Outputs
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* -1 (* x y)))
(*.f64 x (-.f64 #s(literal -1 binary64) y))
(+ (* -1 x) (* y (- (* -1 (* x y)) x)))
(neg.f64 (fma.f64 (fma.f64 y x x) y x))
(+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x)))
(fma.f64 (neg.f64 (fma.f64 (fma.f64 y x x) y x)) y (neg.f64 x))
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- (* y (+ 1 (* -1 y))) 1)
(fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))
(- (* y (+ 1 (* y (- y 1)))) 1)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* 1/2 (* (sqrt x) (pow y 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) (sqrt.f64 x))
(+ (sqrt x) (* (pow y 2) (+ (* -1/8 (* (sqrt x) (pow y 2))) (* 1/2 (sqrt x)))))
(fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/8 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) (sqrt.f64 x))
(+ (sqrt x) (* (pow y 2) (+ (* 1/2 (sqrt x)) (* (pow y 2) (+ (* -1/8 (sqrt x)) (* 1/16 (* (sqrt x) (pow y 2))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) (*.f64 y y) #s(literal -1/8 binary64)))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ (pow y 2) x)) (/ 1 x))
(fma.f64 (/.f64 (neg.f64 y) x) y (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))
(fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 (*.f64 y y) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 y y) (/.f64 #s(literal 1 binary64) x))
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(fma.f64 (neg.f64 y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (pow y 2) 1)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1)))
(fma.f64 (fma.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
-1
#s(literal -1 binary64)
(- (pow y 4) 1)
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(- (pow y 4) 1)
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(- (pow y 4) 1)
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* x (pow y 4)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(+ (* -1 x) (* x (pow y 4)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(+ (* -1 x) (* x (pow y 4)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/ x y)
(/.f64 x y)
(/ (+ x (/ x y)) y)
(/.f64 (+.f64 (/.f64 x y) x) y)
(/ (- (+ x (/ x (pow y 2))) (* -1 (/ x y))) y)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) y)
(/ (- (+ x (/ x (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))) y)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) y) x) y)
y
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(pow y 3)
(pow.f64 y #s(literal 3 binary64))
(* (pow y 3) (- 1 (/ 1 y)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y y)
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))))
(-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y y) y))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))
(fma.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) y))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
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(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) x)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) x)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) x)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) x)))
(/ -1 (* x (- (* -1 (pow y 2)) 1)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ -1 (* x (- (* -1 (pow y 2)) 1)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ -1 (* x (- (* -1 (pow y 2)) 1)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ -1 (* x (- (* -1 (pow y 2)) 1)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1))))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1))))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1))))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1))))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)

rewrite196.0ms (2.8%)

Memory
-17.7MiB live, 209.5MiB allocated
Rules
4 596×lower-*.f32
4 582×lower-*.f64
4 476×lower-fma.f32
4 470×lower-fma.f64
4 446×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027154
046140
118899
2132895
0846095
Stop Event
iter limit
node limit
iter limit
Counts
15 → 997
Calls
Call 1
Inputs
(*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
(/.f64 x (-.f64 y #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))
(fma.f64 (*.f64 y x) y x)
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y y)
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x)
Outputs
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64)))) (-.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal -1 binary64)) x))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (-.f64 y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (-.f64 y #s(literal -1 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (neg.f64 (-.f64 y #s(literal -1 binary64)))) (/.f64 (*.f64 (neg.f64 (-.f64 y #s(literal -1 binary64))) x) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (-.f64 y #s(literal -1 binary64))) x) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x (neg.f64 (-.f64 y #s(literal -1 binary64)))) (/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 y #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) x) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64))) (/.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) x) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) x) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) x)) (-.f64 y #s(literal -1 binary64))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))) (*.f64 x (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (*.f64 x (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))))))))
(/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 x)))
(fma.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x))
(fma.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))))
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x))
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))))
(fma.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x (*.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x))
(fma.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x (*.f64 x (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))))
(fma.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x))
(fma.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (*.f64 x (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) x))
(+.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (*.f64 x (*.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))))

eval345.0ms (4.9%)

Memory
27.2MiB live, 409.7MiB allocated
Compiler

Compiled 44 612 to 3 797 computations (91.5% saved)

prune30.0ms (0.4%)

Memory
21.3MiB live, 99.0MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1 80641 810
Fresh000
Picked314
Done033
Total1 80981 817
Accuracy
100.0%
Counts
1 817 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 x y) y x)
19.6%
(/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64)))
45.3%
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
99.7%
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)))
99.4%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x)))
35.3%
(*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
45.3%
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
53.8%
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
Compiler

Compiled 88 to 58 computations (34.1% saved)

simplify134.0ms (1.9%)

Memory
-7.8MiB live, 144.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y))
cost-diff0
(*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y))
cost-diff128
(*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x)
cost-diff576
(/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64)))
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 (*.f64 y x) y x)
cost-diff0
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64))
cost-diff0
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)))
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 (*.f64 y x) y x)
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 y x) y x))
cost-diff2304
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x)))
cost-diff0
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (/ x (- y 1)) (/.f64 x y))
cost-diff0
(*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
Rules
11 482×lower-fma.f32
11 476×lower-fma.f64
2 876×lower-*.f32
2 858×lower-*.f64
2 228×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032238
052229
185229
2177229
3485224
41324224
53022224
64819224
77929224
08339223
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
#s(approx (/ x (- y 1)) (/.f64 x y))
(/.f64 x y)
x
y
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 y #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x)))
(sqrt.f64 (fma.f64 (*.f64 y x) y x))
(fma.f64 (*.f64 y x) y x)
(*.f64 y x)
y
x
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64))
(fma.f64 (*.f64 y x) y x)
(*.f64 y x)
y
x
#s(literal 3/4 binary64)
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x)
(*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y))
#s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)
(*.f64 (-.f64 y #s(literal 1 binary64)) y)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) y)
x
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
(*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (-.f64 y #s(literal 1 binary64)))
#s(approx (/ x (- y 1)) (/.f64 x y))
(/.f64 x y)
x
y
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 y #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(sqrt.f64 (fma.f64 (*.f64 y x) y x))
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(fma.f64 (*.f64 y x) y x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 y x)
y
x
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 3/4 binary64)))
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64))
(pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 3/4 binary64))
(fma.f64 (*.f64 y x) y x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 y x)
y
x
#s(literal 3/4 binary64)
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (-.f64 y #s(literal 1 binary64))) x)
(*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x)
(*.f64 (fma.f64 y x x) #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)))
(*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 y #s(literal -1 binary64)) #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)))
#s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)
(*.f64 (-.f64 y #s(literal 1 binary64)) y)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) y)
(-.f64 y #s(literal -1 binary64))
x
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)

localize118.0ms (1.7%)

Memory
5.2MiB live, 124.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0625
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)
accuracy2.574827485147557
(*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x)
accuracy14.468068697509713
(/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64)))
accuracy31.862129000675054
#s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y))
accuracy0.05078125
(fma.f64 (*.f64 y x) y x)
accuracy0.203125
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)))
accuracy4.87033616764781
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64))
accuracy15.300070576571354
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64))
accuracy0
(*.f64 y x)
accuracy0.05078125
(fma.f64 (*.f64 y x) y x)
accuracy0.34765625
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x)))
accuracy11.262070055017665
(sqrt.f64 (fma.f64 (*.f64 y x) y x))
accuracy0
(-.f64 y #s(literal 1 binary64))
accuracy0.0546875
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
accuracy7.639161786885645
(*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
accuracy32.881332996417704
#s(approx (/ x (- y 1)) (/.f64 x y))
Samples
99.0ms256×0valid
Compiler

Compiled 218 to 30 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 30.0ms (55.5% of total)
ival-pow: 10.0ms (18.5% of total)
ival-div: 5.0ms (9.3% of total)
ival-add: 4.0ms (7.4% of total)
ival-sub: 2.0ms (3.7% of total)
ival-sqrt: 2.0ms (3.7% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series321.0ms (4.5%)

Memory
-48.5MiB live, 261.9MiB allocated
Counts
17 → 348
Calls
Call 1
Inputs
#s(alt (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (- y 1)) (/.f64 x y)) (patch #s(approx (/ x (- y 1)) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x))) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (patch (sqrt.f64 (fma.f64 (*.f64 y x) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y x) y x) (patch (fma.f64 (*.f64 y x) y x) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64))) (patch (*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (patch #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) #<representation binary64>) () ())
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) (patch (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64))) (patch (*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64))) (patch (*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/4 (+ (log (pow (- (* -1 (pow y 2)) 1) 3)) (* -3 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/4 (+ (log (pow (- (* -1 (pow y 2)) 1) 3)) (* -3 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/4 (+ (log (pow (- (* -1 (pow y 2)) 1) 3)) (* -3 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/4 (+ (log (pow (- (* -1 (pow y 2)) 1) 3)) (* -3 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/4 (+ (log (- (* -1 (pow y 2)) 1)) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/4 (+ (log (- (* -1 (pow y 2)) 1)) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/4 (+ (log (- (* -1 (pow y 2)) 1)) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/4 (+ (log (- (* -1 (pow y 2)) 1)) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
138.0ms
x
@-inf
((* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (/ x y) (* (+ (* y y) 1) (- y 1)) (* (sqrt (+ (* (* y x) y) x)) (sqrt (+ (* (* y x) y) x))) (sqrt (+ (* (* y x) y) x)) (+ (* (* y x) y) x) (* y x) (* (pow (+ (* (* y x) y) x) 3/4) (pow (+ (* (* y x) y) x) 1/4)) (pow (+ (* (* y x) y) x) 3/4) (/ (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (+ (* y y) -1)) (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) (* (+ (* y y) 1) (- y 1)) (- y 1) (pow (+ (* (* y x) y) x) 1/4) (* (* (- y 1) y) y))
91.0ms
x
@0
((* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (/ x y) (* (+ (* y y) 1) (- y 1)) (* (sqrt (+ (* (* y x) y) x)) (sqrt (+ (* (* y x) y) x))) (sqrt (+ (* (* y x) y) x)) (+ (* (* y x) y) x) (* y x) (* (pow (+ (* (* y x) y) x) 3/4) (pow (+ (* (* y x) y) x) 1/4)) (pow (+ (* (* y x) y) x) 3/4) (/ (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (+ (* y y) -1)) (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) (* (+ (* y y) 1) (- y 1)) (- y 1) (pow (+ (* (* y x) y) x) 1/4) (* (* (- y 1) y) y))
19.0ms
x
@inf
((* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (/ x y) (* (+ (* y y) 1) (- y 1)) (* (sqrt (+ (* (* y x) y) x)) (sqrt (+ (* (* y x) y) x))) (sqrt (+ (* (* y x) y) x)) (+ (* (* y x) y) x) (* y x) (* (pow (+ (* (* y x) y) x) 3/4) (pow (+ (* (* y x) y) x) 1/4)) (pow (+ (* (* y x) y) x) 3/4) (/ (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (+ (* y y) -1)) (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) (* (+ (* y y) 1) (- y 1)) (- y 1) (pow (+ (* (* y x) y) x) 1/4) (* (* (- y 1) y) y))
6.0ms
y
@-inf
((* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (/ x y) (* (+ (* y y) 1) (- y 1)) (* (sqrt (+ (* (* y x) y) x)) (sqrt (+ (* (* y x) y) x))) (sqrt (+ (* (* y x) y) x)) (+ (* (* y x) y) x) (* y x) (* (pow (+ (* (* y x) y) x) 3/4) (pow (+ (* (* y x) y) x) 1/4)) (pow (+ (* (* y x) y) x) 3/4) (/ (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (+ (* y y) -1)) (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) (* (+ (* y y) 1) (- y 1)) (- y 1) (pow (+ (* (* y x) y) x) 1/4) (* (* (- y 1) y) y))
5.0ms
y
@0
((* (/ x (- y 1)) (* (+ (* y y) 1) (- y 1))) (/ x (- y 1)) (/ x y) (* (+ (* y y) 1) (- y 1)) (* (sqrt (+ (* (* y x) y) x)) (sqrt (+ (* (* y x) y) x))) (sqrt (+ (* (* y x) y) x)) (+ (* (* y x) y) x) (* y x) (* (pow (+ (* (* y x) y) x) 3/4) (pow (+ (* (* y x) y) x) 1/4)) (pow (+ (* (* y x) y) x) 3/4) (/ (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (+ (* y y) -1)) (* (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) x) (* (* (+ (* y y) 1) (- y 1)) (+ 1 y)) (* (+ (* y y) 1) (- y 1)) (- y 1) (pow (+ (* (* y x) y) x) 1/4) (* (* (- y 1) y) y))

simplify223.0ms (3.1%)

Memory
48.0MiB live, 232.4MiB allocated
Algorithm
egg-herbie
Rules
11 554×lower-fma.f64
11 554×lower-fma.f32
5 968×lower-*.f64
5 968×lower-*.f32
3 512×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03454212
110424059
236423519
084473307
Stop Event
iter limit
node limit
Counts
348 → 341
Calls
Call 1
Inputs
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* -1 x)
(+ (* -1 x) (* -1 (* x y)))
(+ (* -1 x) (* y (- (* -1 (* x y)) x)))
(+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
-1
(- y 1)
(- (* y (+ 1 (* -1 y))) 1)
(- (* y (+ 1 (* y (- y 1)))) 1)
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(sqrt x)
(+ (sqrt x) (* 1/2 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/8 (* (sqrt x) (pow y 2))) (* 1/2 (sqrt x)))))
(+ (sqrt x) (* (pow y 2) (+ (* 1/2 (sqrt x)) (* (pow y 2) (+ (* -1/8 (sqrt x)) (* 1/16 (* (sqrt x) (pow y 2))))))))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(pow (* 1 (pow x 3)) 1/4)
(+ (* 1/4 (* (pow (/ 1 (pow x 9)) 1/4) (* (pow y 2) (+ (* 2 (pow x 3)) (pow x 3))))) (pow (* 1 (pow x 3)) 1/4))
(+ (* (pow y 2) (+ (* 1/4 (* (pow (/ 1 (pow x 9)) 1/4) (+ (* 2 (pow x 3)) (pow x 3)))) (* (pow (* 1 (pow x 3)) 1/4) (* (pow y 2) (+ (* 1/96 (+ (* -12 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 24 (/ (+ (* 2 (pow x 3)) (pow x 3)) (pow x 3))))) (* 1/32 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6)))))))) (pow (* 1 (pow x 3)) 1/4))
(+ (* (pow y 2) (+ (* 1/4 (* (pow (/ 1 (pow x 9)) 1/4) (+ (* 2 (pow x 3)) (pow x 3)))) (* (pow y 2) (+ (* (pow (* 1 (pow x 3)) 1/4) (* (pow y 2) (+ (* 1/2880 (+ 720 (+ (* -720 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 240 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 3) (pow x 9)))))) (+ (* 1/384 (/ (* (+ (* -12 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 24 (/ (+ (* 2 (pow x 3)) (pow x 3)) (pow x 3)))) (+ (* 2 (pow x 3)) (pow x 3))) (pow x 3))) (* 1/384 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 3) (pow x 9))))))) (* (pow (* 1 (pow x 3)) 1/4) (+ (* 1/96 (+ (* -12 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 24 (/ (+ (* 2 (pow x 3)) (pow x 3)) (pow x 3))))) (* 1/32 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))))))))) (pow (* 1 (pow x 3)) 1/4))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* -1 x)
(+ (* -1 x) (* x (pow y 4)))
(+ (* -1 x) (* x (pow y 4)))
(+ (* -1 x) (* x (pow y 4)))
-1
(- (pow y 4) 1)
(- (pow y 4) 1)
(- (pow y 4) 1)
-1
(- y 1)
(- (* y (+ 1 (* -1 y))) 1)
(- (* y (+ 1 (* y (- y 1)))) 1)
-1
(- y 1)
(- y 1)
(- y 1)
(pow (* 1 x) 1/4)
(+ (* 1/4 (* (pow (* 1 x) 1/4) (pow y 2))) (pow (* 1 x) 1/4))
(+ (* (pow y 2) (+ (* -3/32 (* (pow (* 1 x) 1/4) (pow y 2))) (* 1/4 (pow (* 1 x) 1/4)))) (pow (* 1 x) 1/4))
(+ (* (pow y 2) (+ (* 1/4 (pow (* 1 x) 1/4)) (* (pow y 2) (+ (* -3/32 (pow (* 1 x) 1/4)) (* 7/128 (* (pow (* 1 x) 1/4) (pow y 2))))))) (pow (* 1 x) 1/4))
(* -1 (pow y 2))
(* (pow y 2) (- y 1))
(* (pow y 2) (- y 1))
(* (pow y 2) (- y 1))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ x y)
(/ (+ x (/ x y)) y)
(/ (- (+ x (/ x (pow y 2))) (* -1 (/ x y))) y)
(/ (- (+ x (/ x (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(pow y 3)
(* (pow y 3) (- 1 (/ 1 y)))
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (sqrt x) y)
(* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ 1 y))))))
(+ (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ 1 y)))))) (* 1/4 (/ (* (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ 1 y)))))) (+ (* 2 (pow x 3)) (pow x 3))) (* (pow x 3) (pow y 2)))))
(+ (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ 1 y)))))) (+ (* 1/4 (/ (* (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ 1 y)))))) (+ (* 2 (pow x 3)) (pow x 3))) (* (pow x 3) (pow y 2)))) (/ (* (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ 1 y)))))) (+ (* 1/96 (+ (* -12 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 24 (/ (+ (* 2 (pow x 3)) (pow x 3)) (pow x 3))))) (* 1/32 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))))) (pow y 4))))
(+ (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ 1 y)))))) (+ (* 1/4 (/ (* (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ 1 y)))))) (+ (* 2 (pow x 3)) (pow x 3))) (* (pow x 3) (pow y 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ 1 y)))))) (+ (* 1/2880 (+ 720 (+ (* -720 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 240 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 3) (pow x 9)))))) (+ (* 1/384 (/ (* (+ (* -12 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 24 (/ (+ (* 2 (pow x 3)) (pow x 3)) (pow x 3)))) (+ (* 2 (pow x 3)) (pow x 3))) (pow x 3))) (* 1/384 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 3) (pow x 9)))))) (pow y 6)) (/ (* (exp (* 1/4 (+ (log (pow x 3)) (* -6 (log (/ 1 y)))))) (+ (* 1/96 (+ (* -12 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))) (* 24 (/ (+ (* 2 (pow x 3)) (pow x 3)) (pow x 3))))) (* 1/32 (/ (pow (+ (* 2 (pow x 3)) (pow x 3)) 2) (pow x 6))))) (pow y 4)))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 4))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(pow y 4)
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(pow y 3)
(* (pow y 3) (- 1 (/ 1 y)))
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))))
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y))))))
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 2))))
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (+ (* -3/32 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 4))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 2)))))
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (+ (* -3/32 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 4))) (+ (* 7/128 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 6))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 2))))))
(pow y 3)
(* (pow y 3) (- 1 (/ 1 y)))
(* (pow y 3) (- 1 (/ 1 y)))
(* (pow y 3) (- 1 (/ 1 y)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
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(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))))
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Outputs
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
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(+ x (* x (pow y 2)))
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(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
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(*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(exp (* 1/4 (+ (log (+ 1 (pow y 2))) (* -1 (log (/ 1 x))))))
(*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(exp (* 1/4 (+ (log (+ 1 (pow y 2))) (* -1 (log (/ 1 x))))))
(*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(exp (* 1/4 (+ (log (+ 1 (pow y 2))) (* -1 (log (/ 1 x))))))
(*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/ x (- y 1))
(/.f64 x (-.f64 y #s(literal 1 binary64)))
(/ x (- y 1))
(/.f64 x (-.f64 y #s(literal 1 binary64)))
(/ x (- y 1))
(/.f64 x (-.f64 y #s(literal 1 binary64)))
(/ x (- y 1))
(/.f64 x (-.f64 y #s(literal 1 binary64)))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) x)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) x)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) x)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) x)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(exp (* 1/4 (+ (log (pow (- (* -1 (pow y 2)) 1) 3)) (* -3 (log (/ -1 x))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3/4 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(exp (* 1/4 (+ (log (pow (- (* -1 (pow y 2)) 1) 3)) (* -3 (log (/ -1 x))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3/4 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(exp (* 1/4 (+ (log (pow (- (* -1 (pow y 2)) 1) 3)) (* -3 (log (/ -1 x))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3/4 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(exp (* 1/4 (+ (log (pow (- (* -1 (pow y 2)) 1) 3)) (* -3 (log (/ -1 x))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3/4 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1))
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1))
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1))
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(/ (* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1)))) (- (pow y 2) 1))
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1))))
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) x)
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1))))
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) x)
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1))))
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) x)
(* x (* (+ 1 y) (* (+ 1 (pow y 2)) (- y 1))))
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) x)
(exp (* 1/4 (+ (log (- (* -1 (pow y 2)) 1)) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(exp (* 1/4 (+ (log (- (* -1 (pow y 2)) 1)) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(exp (* 1/4 (+ (log (- (* -1 (pow y 2)) 1)) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(exp (* 1/4 (+ (log (- (* -1 (pow y 2)) 1)) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(literal 1/4 binary64)))

rewrite358.0ms (5.1%)

Memory
-13.9MiB live, 380.2MiB allocated
Rules
6 938×lower-fma.f32
6 932×lower-fma.f64
5 350×lower-*.f32
5 332×lower-*.f64
3 662×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032197
052177
1177177
21164172
09021171
Stop Event
iter limit
node limit
iter limit
Counts
17 → 1 042
Calls
Call 1
Inputs
(*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
#s(approx (/ x (- y 1)) (/.f64 x y))
(/.f64 x y)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x)))
(sqrt.f64 (fma.f64 (*.f64 y x) y x))
(fma.f64 (*.f64 y x) y x)
(*.f64 y x)
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64))
(/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x)
(*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y))
#s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y))
(-.f64 y #s(literal 1 binary64))
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)
Outputs
(*.f64 (*.f64 (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (-.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #s(approx (/ x (- y 1)) (/.f64 x y)))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))))
(*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(approx (/ x (- y 1)) (/.f64 x y))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(approx (/ x (- y 1)) (/.f64 x y)))) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))))) (-.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(approx (/ x (- y 1)) (/.f64 x y))) (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) y) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) y)) (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) y) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(approx (/ x (- y 1)) (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(approx (/ x (- y 1)) (/.f64 x y))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(approx (/ x (- y 1)) (/.f64 x y))) (-.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y)))) (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(approx (/ x (- y 1)) (/.f64 x y))) (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) y) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) y) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) y) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))
(/.f64 (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (-.f64 y #s(literal 1 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (/ x (- y 1)) (/.f64 x y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (*.f64 y y) #s(approx (/ x (- y 1)) (/.f64 x y))) (-.f64 y #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 y y)) (-.f64 y #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)))
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(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/8 binary64)) #s(literal 2 binary64))
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(exp.f64 (fma.f64 (log.f64 (fma.f64 (*.f64 y x) y x)) #s(literal 1/8 binary64) (*.f64 (log.f64 (fma.f64 (*.f64 y x) y x)) #s(literal 1/8 binary64))))
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(fma.f64 y (neg.f64 y) (pow.f64 y #s(literal 3 binary64)))
(fma.f64 y (*.f64 y y) (*.f64 (neg.f64 y) y))
(+.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal 3 binary64)))
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eval451.0ms (6.4%)

Memory
54.7MiB live, 501.6MiB allocated
Compiler

Compiled 50 991 to 4 202 computations (91.8% saved)

prune74.0ms (1%)

Memory
-29.4MiB live, 109.6MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2 02142 025
Fresh000
Picked404
Done044
Total2 02582 033
Accuracy
100.0%
Counts
2 033 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 x y) y x)
45.3%
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
99.6%
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x))))
50.9%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) #s(approx (sqrt (+ (* (* y x) y) x)) (*.f64 (sqrt.f64 x) y)))
36.0%
(*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)))
35.3%
(*.f64 #s(approx (/ x (- y 1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
45.3%
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
53.8%
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
Compiler

Compiled 311 to 128 computations (58.8% saved)

regimes29.0ms (0.4%)

Memory
15.8MiB live, 53.2MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
(fma.f64 (*.f64 x y) y x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)))
(*.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
(*.f64 #s(approx (/ x (- y 1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) #s(approx (sqrt (+ (* (* y x) y) x)) (*.f64 (sqrt.f64 x) y)))
(/.f64 (*.f64 (*.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) y)) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x)))
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x))))
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
Outputs
(fma.f64 (*.f64 x y) y x)
Calls

5 calls:

7.0ms
(+.f64 #s(literal 1 binary64) (*.f64 y y))
5.0ms
x
5.0ms
y
5.0ms
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
5.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
99.9%1(+.f64 #s(literal 1 binary64) (*.f64 y y))
99.9%1(*.f64 y y)
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes11.0ms (0.2%)

Memory
-21.9MiB live, 19.4MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
Outputs
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
Calls

5 calls:

4.0ms
(*.f64 y y)
2.0ms
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
2.0ms
x
2.0ms
y
1.0ms
(+.f64 #s(literal 1 binary64) (*.f64 y y))
Results
AccuracySegmentsBranch
61.3%3x
94.2%2y
78.2%2(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
94.2%2(+.f64 #s(literal 1 binary64) (*.f64 y y))
94.2%2(*.f64 y y)
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes6.0ms (0.1%)

Memory
19.4MiB live, 19.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

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

Compiled 17 to 18 computations (-5.9% saved)

bsearch13.0ms (0.2%)

Memory
-14.4MiB live, 24.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
4.224709716047104e-7
143113080.96015957
Samples
5.0ms160×0valid
Compiler

Compiled 90 to 121 computations (-34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add: 1.0ms (49.2% of total)
ival-mult: 1.0ms (49.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify23.0ms (0.3%)

Memory
18.7MiB live, 56.5MiB allocated
Algorithm
egg-herbie
Rules
*-commutative-binary64-*.f64
1-exp-binary32-exp.f32
1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01441
12041
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 x y) y x)
(if (<=.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))))
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
Outputs
(fma.f64 (*.f64 x y) y x)
(fma.f64 (*.f64 y x) y x)
(if (<=.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))))
(if (<=.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) x) (*.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) x))
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
(*.f64 #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) x)

soundness466.0ms (6.6%)

Memory
-0.9MiB live, 229.6MiB allocated
Rules
9 064×lower-fma.f64
9 064×lower-fma.f32
6 574×lower-*.f64
6 574×lower-*.f32
5 176×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015246
142246
274246
3214246
4721246
51940246
62658246
73752246
85094246
95986246
106927246
117270246
127376246
137453246
147522246
157669246
08207216
0615
0915
13415
220915
3140415
0826913
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 50 to 32 computations (36% saved)

preprocess95.0ms (1.3%)

Memory
7.5MiB live, 118.1MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 152 to 94 computations (38.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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