Examples.Basics.ProofTests:f4 from sbv-4.4

Time bar (total: 8.4s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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 15 to 11 computations (26.7% saved)

sample792.0ms (9.4%)

Memory
24.8MiB live, 1 123.3MiB allocated
Samples
529.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 359.0ms
ival-mult: 277.0ms (77.1% of total)
ival-add: 68.0ms (18.9% of total)
ival-true: 6.0ms (1.7% of total)
exact: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess47.0ms (0.6%)

Memory
-12.3MiB live, 31.7MiB allocated
Algorithm
egg-herbie
Rules
236×sub-neg
232×unsub-neg
192×distribute-lft-neg-in
136×cancel-sign-sub-inv
132×cancel-sign-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02684
18568
225566
364166
4121866
5151466
6154466
0913
11711
23711
34511
0459
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(+ (+ (* x x) (* (* x 2) y)) (* y y))
Outputs
(+ (+ (* x x) (* (* x 2) y)) (* y y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y))
Call 2
Inputs
(+ (+ (* x x) (* (* x 2) y)) (* y y))
(+ (+ (* (neg x) (neg x)) (* (* (neg x) 2) y)) (* y y))
(+ (+ (* x x) (* (* x 2) (neg y))) (* (neg y) (neg y)))
(neg (+ (+ (* (neg x) (neg x)) (* (* (neg x) 2) y)) (* y y)))
(neg (+ (+ (* x x) (* (* x 2) (neg y))) (* (neg y) (neg y))))
(+ (+ (* y y) (* (* y 2) x)) (* x x))
Outputs
(+ (+ (* x x) (* (* x 2) y)) (* y y))
(- (* y y) (* x (- (* y -2) x)))
(+ (+ (* (neg x) (neg x)) (* (* (neg x) 2) y)) (* y y))
(+ (* x x) (* y (+ y (* x -2))))
(+ (+ (* x x) (* (* x 2) (neg y))) (* (neg y) (neg y)))
(+ (* x x) (* y (+ y (* x -2))))
(neg (+ (+ (* (neg x) (neg x)) (* (* (neg x) 2) y)) (* y y)))
(- (* x (- (* 2 y) x)) (* y y))
(neg (+ (+ (* x x) (* (* x 2) (neg y))) (* (neg y) (neg y))))
(- (* x (- (* 2 y) x)) (* y y))
(+ (+ (* y y) (* (* y 2) x)) (* x x))
(- (* y y) (* x (- (* y -2) x)))
Symmetry

(sort x y)

explain200.0ms (2.4%)

Memory
12.9MiB live, 209.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
170-0-(+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
110-0-(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
00-0-(*.f64 x #s(literal 2 binary64))
00-0-(*.f64 x x)
00-0-(*.f64 (*.f64 x #s(literal 2 binary64)) y)
00-0-y
00-0-#s(literal 2 binary64)
00-0-(*.f64 y y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))nan-rescue170
(*.f64 x x)overflow61
(*.f64 (*.f64 x #s(literal 2 binary64)) y)overflow37
+.f64(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))nan-rescue110
(+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))overflow72
(*.f64 x x)overflow61
(*.f64 (*.f64 x #s(literal 2 binary64)) y)overflow37
(*.f64 y y)overflow74
Confusion
Predicted +Predicted -
+210
-0235
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2100
-00235
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0235
114
27
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
35.0ms512×0valid
Compiler

Compiled 112 to 40 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 13.0ms (69.9% of total)
ival-add: 4.0ms (21.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.8%
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
Compiler

Compiled 15 to 9 computations (40% saved)

simplify5.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
cost-diff0
(*.f64 x x)
cost-diff128
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
cost-diff448
(+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Rules
64×accelerator-lowering-fma.f32
64×accelerator-lowering-fma.f64
36×*-lowering-*.f32
36×*-lowering-*.f64
32×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0939
11735
23735
34535
04532
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (+ (* x x) (* (* x 2) y)) (* y y))
(+ (* x x) (* (* x 2) y))
(* x x)
x
(* (* x 2) y)
(* x 2)
2
y
(* y y)
Outputs
(+ (+ (* x x) (* (* x 2) y)) (* y y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y))
(+ (* x x) (* (* x 2) y))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* x x)
(*.f64 x x)
x
(* (* x 2) y)
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(* x 2)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
y
(* y y)
(*.f64 y y)

localize46.0ms (0.5%)

Memory
-19.3MiB live, 54.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 x #s(literal 2 binary64))
accuracy96.6%
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
accuracy94.1%
(+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Samples
36.0ms256×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 26.0ms (89.6% of total)
ival-add: 2.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#<alt (+ (* x x) (* (* x 2) y))>
#<alt (+ (+ (* x x) (* (* x 2) y)) (* y y))>
#<alt (* x x)>
#<alt (* (* x 2) y)>
#<alt (* x 2)>
Outputs
#<alt (* 2 (* x y))>
#<alt (* x (+ x (* 2 y)))>
#<alt (* x (+ x (* 2 y)))>
#<alt (* x (+ x (* 2 y)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (pow x 2)>
#<alt (+ (* 2 (* x y)) (pow x 2))>
#<alt (+ (* 2 (* x y)) (pow x 2))>
#<alt (+ (* 2 (* x y)) (pow x 2))>
#<alt (* 2 (* x y))>
#<alt (* y (+ (* 2 x) (/ (pow x 2) y)))>
#<alt (* y (+ (* 2 x) (/ (pow x 2) y)))>
#<alt (* y (+ (* 2 x) (/ (pow x 2) y)))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))>
#<alt (pow y 2)>
#<alt (+ (* 2 (* x y)) (pow y 2))>
#<alt (+ (* x (+ x (* 2 y))) (pow y 2))>
#<alt (+ (* x (+ x (* 2 y))) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))>
#<alt (pow x 2)>
#<alt (+ (* 2 (* x y)) (pow x 2))>
#<alt (+ (* y (+ y (* 2 x))) (pow x 2))>
#<alt (+ (* y (+ y (* 2 x))) (pow x 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
Calls

24 calls:

TimeVariablePointExpression
1.0ms
y
@0
(* (* x 2) y)
1.0ms
y
@0
(+ (* x x) (* (* x 2) y))
1.0ms
x
@inf
(+ (* x x) (* (* x 2) y))
1.0ms
x
@0
(+ (* x x) (* (* x 2) y))
0.0ms
y
@inf
(+ (* x x) (* (* x 2) y))

rewrite424.0ms (5%)

Memory
-8.1MiB live, 738.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 568×accelerator-lowering-fma.f32
7 568×accelerator-lowering-fma.f64
5 064×*-lowering-*.f32
5 064×*-lowering-*.f64
2 536×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0933
14429
241429
3634929
0821126
Stop Event
iter limit
node limit
Counts
5 → 210
Calls
Call 1
Inputs
(+ (* x x) (* (* x 2) y))
(+ (+ (* x x) (* (* x 2) y)) (* y y))
(* x x)
(* (* x 2) y)
(* x 2)
Outputs
(+.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 2 binary64) y)))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 x x))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x))))
(fma.f64 x x (*.f64 x (*.f64 #s(literal 2 binary64) y)))
(fma.f64 x (*.f64 #s(literal 2 binary64) y) (*.f64 x x))
(fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) (*.f64 x x))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (*.f64 x x))
(fma.f64 y (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))))
(fma.f64 (*.f64 x y) #s(literal 2 binary64) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x (*.f64 #s(literal 2 binary64) y)))
(fma.f64 (/.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 x (*.f64 #s(literal 2 binary64) y))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))))
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 2 binary64) y))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) x) (/.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) y x) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (neg.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))))) (fma.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 #s(literal 2 binary64) y x)))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) y x) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x))) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 x (*.f64 #s(literal 2 binary64) y)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 x (*.f64 #s(literal 2 binary64) y))))
(/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 x x))) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x)))
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(pow.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))) (*.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) (*.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y)) (*.f64 (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y)))))
(*.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y)) (/.f64 (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y)) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y))))
(*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) y x) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))))
(*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y)) (fma.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 (*.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y)) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) y x) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y)) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y)))))
(*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)) (*.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)) (-.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) y x) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y))) (*.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y)) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y))))
(*.f64 (*.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(*.f64 (*.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))))
(*.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y)) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y))) (*.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y)) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y)))) (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) y x) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (fma.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) y x) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (*.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) y x) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))))) (*.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (*.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))))))) (fma.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (-.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) y x) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))) (*.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) y x) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) y x) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) y x) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))))) (-.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) y x) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))))
(*.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y)) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y))) (-.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) y x) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 #s(literal 2 binary64) y x)) (*.f64 (*.f64 y y) (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) y) x)
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)

simplify264.0ms (3.1%)

Memory
-27.5MiB live, 416.8MiB allocated
Algorithm
egg-herbie
Rules
7 660×accelerator-lowering-fma.f32
7 660×accelerator-lowering-fma.f64
3 048×*-lowering-*.f32
3 048×*-lowering-*.f64
1 308×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056534
1166534
2468534
31334534
43280534
56441534
08173486
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* 2 (* x y))
(* x (+ x (* 2 y)))
(* x (+ x (* 2 y)))
(* x (+ x (* 2 y)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(pow x 2)
(+ (* 2 (* x y)) (pow x 2))
(+ (* 2 (* x y)) (pow x 2))
(+ (* 2 (* x y)) (pow x 2))
(* 2 (* x y))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* 2 (* x y))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(pow x 2)
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* x (+ x (* 2 y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* x (+ x (* 2 y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* x (+ x (* 2 y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* 2 (* x y)) (pow x 2))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(+ (* 2 (* x y)) (pow x 2))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(+ (* 2 (* x y)) (pow x 2))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(+ (* 2 (* x y)) (pow y 2))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))
(+ (* x (+ x (* 2 y))) (pow y 2))
(fma.f64 x x (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)))
(+ (* x (+ x (* 2 y))) (pow y 2))
(fma.f64 x x (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(fma.f64 x x (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(fma.f64 x x (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* 2 (* x y)) (pow x 2))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 x x (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)))
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 x x (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(fma.f64 x x (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(fma.f64 x x (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(fma.f64 x x (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(fma.f64 x x (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))

eval47.0ms (0.6%)

Memory
1.6MiB live, 78.2MiB allocated
Compiler

Compiled 10 560 to 651 computations (93.8% saved)

prune54.0ms (0.6%)

Memory
-4.5MiB live, 74.2MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3024306
Fresh000
Picked101
Done000
Total3034307
Accuracy
100.0%
Counts
307 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.8%
(fma.f64 y y #s(literal 0 binary64))
52.4%
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
96.1%
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
52.3%
(fma.f64 x x #s(literal 0 binary64))
Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify7.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y y #s(literal 0 binary64))
cost-diff0
(fma.f64 #s(literal 2 binary64) y x)
cost-diff0
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
cost-diff-64
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
cost-diff0
(fma.f64 x #s(literal 2 binary64) y)
cost-diff0
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
cost-diff0
(fma.f64 x x #s(literal 0 binary64))
Rules
88×accelerator-lowering-fma.f32
88×accelerator-lowering-fma.f64
60×+-lowering-+.f64
60×+-lowering-+.f32
36×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01652
13452
27552
38252
08246
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* x x) 0)
x
0
(+ (* x x) (* y (+ (* x 2) y)))
x
(* y (+ (* x 2) y))
y
(+ (* x 2) y)
2
(+ (* x (+ (* 2 y) x)) 0)
x
(+ (* 2 y) x)
2
y
0
(+ (* y y) 0)
y
0
Outputs
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(+ (* x x) (* y (+ (* x 2) y)))
(fma.f64 x x (fma.f64 y (fma.f64 x #s(literal 2 binary64) y) #s(literal 0 binary64)))
x
(* y (+ (* x 2) y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) #s(literal 0 binary64))
y
(+ (* x 2) y)
(fma.f64 x #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
(+ (* x (+ (* 2 y) x)) 0)
(fma.f64 x (fma.f64 y #s(literal 2 binary64) x) #s(literal 0 binary64))
x
(+ (* 2 y) x)
(fma.f64 y #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
y
0
#s(literal 0 binary64)
(+ (* y y) 0)
(fma.f64 y y #s(literal 0 binary64))
y
0
#s(literal 0 binary64)

localize48.0ms (0.6%)

Memory
-9.7MiB live, 101.4MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 y y #s(literal 0 binary64))
accuracy100.0%
(fma.f64 #s(literal 2 binary64) y x)
accuracy99.6%
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
accuracy100.0%
(fma.f64 x #s(literal 2 binary64) y)
accuracy100.0%
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
accuracy96.1%
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
accuracy100.0%
(fma.f64 x x #s(literal 0 binary64))
Samples
31.0ms256×0valid
Compiler

Compiled 51 to 18 computations (64.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 12.0ms (62.7% of total)
ival-add: 7.0ms (36.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
7 → 144
Calls
Call 1
Inputs
#<alt (+ (* x x) 0)>
#<alt (+ (* x x) (* y (+ (* x 2) y)))>
#<alt (+ (* x 2) y)>
#<alt (* y (+ (* x 2) y))>
#<alt (+ (* x (+ (* 2 y) x)) 0)>
#<alt (+ (* 2 y) x)>
#<alt (+ (* y y) 0)>
Outputs
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow y 2)>
#<alt (+ (* 2 (* x y)) (pow y 2))>
#<alt (+ (* x (+ x (* 2 y))) (pow y 2))>
#<alt (+ (* x (+ x (* 2 y))) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))>
#<alt (pow x 2)>
#<alt (+ (* 2 (* x y)) (pow x 2))>
#<alt (+ (* y (+ y (* 2 x))) (pow x 2))>
#<alt (+ (* y (+ y (* 2 x))) (pow x 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))>
#<alt y>
#<alt (+ y (* 2 x))>
#<alt (+ y (* 2 x))>
#<alt (+ y (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (/ y x)))>
#<alt (* x (+ 2 (/ y x)))>
#<alt (* x (+ 2 (/ y x)))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -1 (/ y x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 2)))>
#<alt (* 2 x)>
#<alt (+ y (* 2 x))>
#<alt (+ y (* 2 x))>
#<alt (+ y (* 2 x))>
#<alt y>
#<alt (* y (+ 1 (* 2 (/ x y))))>
#<alt (* y (+ 1 (* 2 (/ x y))))>
#<alt (* y (+ 1 (* 2 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (* -2 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -2 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -2 (/ x y)) 1)))>
#<alt (* 2 (* x y))>
#<alt (* y (+ y (* 2 x)))>
#<alt (* y (+ y (* 2 x)))>
#<alt (* y (+ y (* 2 x)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x y))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x y))))>
#<alt (pow y 2)>
#<alt (+ (* 2 (* x y)) (pow y 2))>
#<alt (+ (* 2 (* x y)) (pow y 2))>
#<alt (+ (* 2 (* x y)) (pow y 2))>
#<alt (* 2 (* x y))>
#<alt (* x (+ (* 2 y) (/ (pow y 2) x)))>
#<alt (* x (+ (* 2 y) (/ (pow y 2) x)))>
#<alt (* x (+ (* 2 y) (/ (pow y 2) x)))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))>
#<alt (* 2 (* x y))>
#<alt (* x (+ x (* 2 y)))>
#<alt (* x (+ x (* 2 y)))>
#<alt (* x (+ x (* 2 y)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (pow x 2)>
#<alt (+ (* 2 (* x y)) (pow x 2))>
#<alt (+ (* 2 (* x y)) (pow x 2))>
#<alt (+ (* 2 (* x y)) (pow x 2))>
#<alt (* 2 (* x y))>
#<alt (* y (+ (* 2 x) (/ (pow x 2) y)))>
#<alt (* y (+ (* 2 x) (/ (pow x 2) y)))>
#<alt (* y (+ (* 2 x) (/ (pow x 2) y)))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))>
#<alt x>
#<alt (+ x (* 2 y))>
#<alt (+ x (* 2 y))>
#<alt (+ x (* 2 y))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (/ x y)))>
#<alt (* y (+ 2 (/ x y)))>
#<alt (* y (+ 2 (/ x y)))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 2)))>
#<alt (* 2 y)>
#<alt (+ x (* 2 y))>
#<alt (+ x (* 2 y))>
#<alt (+ x (* 2 y))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ y x))))>
#<alt (* x (+ 1 (* 2 (/ y x))))>
#<alt (* x (+ 1 (* 2 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 1)))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
Calls

36 calls:

TimeVariablePointExpression
1.0ms
y
@0
(+ (* x (+ (* 2 y) x)) 0)
0.0ms
x
@-inf
(+ (* x (+ (* 2 y) x)) 0)
0.0ms
x
@0
(+ (* x (+ (* 2 y) x)) 0)
0.0ms
y
@-inf
(+ (* x x) (* y (+ (* x 2) y)))
0.0ms
y
@inf
(+ (* x (+ (* 2 y) x)) 0)

rewrite560.0ms (6.6%)

Memory
16.8MiB live, 890.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
10 584×accelerator-lowering-fma.f32
10 584×accelerator-lowering-fma.f64
3 928×*-lowering-*.f32
3 928×*-lowering-*.f64
3 280×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01641
19941
2111341
0851435
Stop Event
iter limit
node limit
Counts
7 → 824
Calls
Call 1
Inputs
(+ (* x x) 0)
(+ (* x x) (* y (+ (* x 2) y)))
(+ (* x 2) y)
(* y (+ (* x 2) y))
(+ (* x (+ (* 2 y) x)) 0)
(+ (* 2 y) x)
(+ (* y y) 0)
Outputs
(+.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 x x) #s(literal 0 binary64))
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(/.f64 (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) y) (/.f64 (fma.f64 y y #s(literal 0 binary64)) y))
(*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) y) (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y y #s(literal 0 binary64)) y))
(*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) y))
(*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) y) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) y) (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) y) (/.f64 y y))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) y))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (/.f64 y y) (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) y))
(*.f64 (/.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))

simplify416.0ms (4.9%)

Memory
-19.1MiB live, 476.8MiB allocated
Algorithm
egg-herbie
Rules
8 438×accelerator-lowering-fma.f32
8 438×accelerator-lowering-fma.f64
2 840×*-lowering-*.f32
2 840×*-lowering-*.f64
1 688×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082852
1269852
2745852
32252768
44607768
57563768
08029666
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(pow x 2)
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
y
(+ y (* 2 x))
(+ y (* 2 x))
(+ y (* 2 x))
(* 2 x)
(* x (+ 2 (/ y x)))
(* x (+ 2 (/ y x)))
(* x (+ 2 (/ y x)))
(* 2 x)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* 2 x)
(+ y (* 2 x))
(+ y (* 2 x))
(+ y (* 2 x))
y
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (* 2 (/ x y))))
y
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* 2 (* x y))
(* y (+ y (* 2 x)))
(* y (+ y (* 2 x)))
(* y (+ y (* 2 x)))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* 2 (* x y)) (pow y 2))
(+ (* 2 (* x y)) (pow y 2))
(* 2 (* x y))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(* 2 (* x y))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(* 2 (* x y))
(* x (+ x (* 2 y)))
(* x (+ x (* 2 y)))
(* x (+ x (* 2 y)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(pow x 2)
(+ (* 2 (* x y)) (pow x 2))
(+ (* 2 (* x y)) (pow x 2))
(+ (* 2 (* x y)) (pow x 2))
(* 2 (* x y))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* 2 (* x y))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
x
(+ x (* 2 y))
(+ x (* 2 y))
(+ x (* 2 y))
(* 2 y)
(* y (+ 2 (/ x y)))
(* y (+ 2 (/ x y)))
(* y (+ 2 (/ x y)))
(* 2 y)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* 2 y)
(+ x (* 2 y))
(+ x (* 2 y))
(+ x (* 2 y))
x
(* x (+ 1 (* 2 (/ y x))))
(* x (+ 1 (* 2 (/ y x))))
(* x (+ 1 (* 2 (/ y x))))
x
(* -1 (* x (- (* -2 (/ y x)) 1)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
Outputs
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(+ (* 2 (* x y)) (pow y 2))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) #s(literal 0 binary64))
(+ (* x (+ x (* 2 y))) (pow y 2))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (fma.f64 y y #s(literal 0 binary64)))
(+ (* x (+ x (* 2 y))) (pow y 2))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (fma.f64 y y #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (fma.f64 y y #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (fma.f64 y y #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (fma.f64 y y #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (fma.f64 y y #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* 2 (* x y)) (pow x 2))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (fma.f64 y y #s(literal 0 binary64)))
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (fma.f64 y y #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) #s(literal 0 binary64))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (fma.f64 y y #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) #s(literal 0 binary64))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (fma.f64 y y #s(literal 0 binary64)))
y
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* x (+ 2 (/ y x)))
(fma.f64 x #s(literal 2 binary64) y)
(* x (+ 2 (/ y x)))
(fma.f64 x #s(literal 2 binary64) y)
(* x (+ 2 (/ y x)))
(fma.f64 x #s(literal 2 binary64) y)
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 x #s(literal 2 binary64) y)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 x #s(literal 2 binary64) y)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 x #s(literal 2 binary64) y)
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
y
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 x #s(literal 2 binary64) y)
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 x #s(literal 2 binary64) y)
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 x #s(literal 2 binary64) y)
y
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 x #s(literal 2 binary64) y)
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 x #s(literal 2 binary64) y)
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 x #s(literal 2 binary64) y)
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ y (* 2 x)))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) #s(literal 0 binary64))
(* y (+ y (* 2 x)))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) #s(literal 0 binary64))
(* y (+ y (* 2 x)))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) #s(literal 0 binary64))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) #s(literal 0 binary64))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) #s(literal 0 binary64))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) #s(literal 0 binary64))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(+ (* 2 (* x y)) (pow y 2))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) #s(literal 0 binary64))
(+ (* 2 (* x y)) (pow y 2))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) #s(literal 0 binary64))
(+ (* 2 (* x y)) (pow y 2))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) #s(literal 0 binary64))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) #s(literal 0 binary64))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) #s(literal 0 binary64))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) #s(literal 0 binary64))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ x (* 2 y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* x (+ x (* 2 y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* x (+ x (* 2 y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* 2 (* x y)) (pow x 2))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(+ (* 2 (* x y)) (pow x 2))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(+ (* 2 (* x y)) (pow x 2))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
x
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* y (+ 2 (/ x y)))
(fma.f64 #s(literal 2 binary64) y x)
(* y (+ 2 (/ x y)))
(fma.f64 #s(literal 2 binary64) y x)
(* y (+ 2 (/ x y)))
(fma.f64 #s(literal 2 binary64) y x)
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 #s(literal 2 binary64) y x)
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
x
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) y x)
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) y x)
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) y x)
x
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 #s(literal 2 binary64) y x)
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))

eval161.0ms (1.9%)

Memory
12.1MiB live, 278.4MiB allocated
Compiler

Compiled 32 022 to 1 809 computations (94.4% saved)

prune149.0ms (1.8%)

Memory
18.7MiB live, 255.9MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New9653968
Fresh000
Picked314
Done000
Total9684972
Accuracy
100.0%
Counts
972 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.1%
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
52.4%
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
60.8%
(*.f64 y y)
52.3%
(*.f64 x x)
Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify7.0ms (0.1%)

Memory
-30.7MiB live, 7.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y #s(literal 2 binary64) x)
cost-diff0
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x x)
Rules
32×*-lowering-*.f32
32×*-lowering-*.f64
18×accelerator-lowering-fma.f32
18×accelerator-lowering-fma.f64
14×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
11123
21723
32523
42723
02721
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* x x)
x
(* y y)
y
(* (+ (* y 2) x) x)
(+ (* y 2) x)
y
2
x
Outputs
(* x x)
(*.f64 x x)
x
(* y y)
(*.f64 y y)
y
(* (+ (* y 2) x) x)
(*.f64 x (fma.f64 y #s(literal 2 binary64) x))
(+ (* y 2) x)
(fma.f64 y #s(literal 2 binary64) x)
y
2
#s(literal 2 binary64)
x

localize40.0ms (0.5%)

Memory
-10.9MiB live, 42.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 y #s(literal 2 binary64) x)
accuracy99.6%
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(*.f64 x x)
Samples
31.0ms256×0valid
Compiler

Compiled 23 to 10 computations (56.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 23.0ms (94.9% of total)
ival-add: 1.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#<alt (* x x)>
#<alt (* y y)>
#<alt (* (+ (* y 2) x) x)>
#<alt (+ (* y 2) x)>
Outputs
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow x 2)>
#<alt (+ (* 2 (* x y)) (pow x 2))>
#<alt (+ (* 2 (* x y)) (pow x 2))>
#<alt (+ (* 2 (* x y)) (pow x 2))>
#<alt (* 2 (* x y))>
#<alt (* y (+ (* 2 x) (/ (pow x 2) y)))>
#<alt (* y (+ (* 2 x) (/ (pow x 2) y)))>
#<alt (* y (+ (* 2 x) (/ (pow x 2) y)))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))>
#<alt (* 2 (* x y))>
#<alt (* x (+ x (* 2 y)))>
#<alt (* x (+ x (* 2 y)))>
#<alt (* x (+ x (* 2 y)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt x>
#<alt (+ x (* 2 y))>
#<alt (+ x (* 2 y))>
#<alt (+ x (* 2 y))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (/ x y)))>
#<alt (* y (+ 2 (/ x y)))>
#<alt (* y (+ 2 (/ x y)))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 2)))>
#<alt (* 2 y)>
#<alt (+ x (* 2 y))>
#<alt (+ x (* 2 y))>
#<alt (+ x (* 2 y))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ y x))))>
#<alt (* x (+ 1 (* 2 (/ y x))))>
#<alt (* x (+ 1 (* 2 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 1)))>
Calls

18 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(* (+ (* y 2) x) x)
0.0ms
y
@-inf
(* (+ (* y 2) x) x)
0.0ms
y
@0
(* y y)
0.0ms
y
@0
(* (+ (* y 2) x) x)
0.0ms
y
@inf
(* (+ (* y 2) x) x)

rewrite546.0ms (6.5%)

Memory
29.7MiB live, 858.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
11 986×accelerator-lowering-fma.f32
11 986×accelerator-lowering-fma.f64
4 332×/-lowering-/.f32
4 332×/-lowering-/.f64
4 150×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
12518
217518
3164118
0838616
Stop Event
iter limit
node limit
Counts
4 → 262
Calls
Call 1
Inputs
(* x x)
(* y y)
(* (+ (* y 2) x) x)
(+ (* y 2) x)
Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 y) (log.f64 y)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(*.f64 y y)
(+.f64 (*.f64 x x) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 x x) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y))))
(+.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 x y)))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (*.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (fma.f64 x (*.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(fma.f64 x x (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 x x (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y))))
(fma.f64 x (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(fma.f64 y (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) (*.f64 x x))
(fma.f64 (*.f64 y #s(literal 2 binary64)) x (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y))))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (*.f64 x x))
(fma.f64 (*.f64 x y) #s(literal 2 binary64) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (*.f64 x (fma.f64 y #s(literal 2 binary64) x)) (*.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 y #s(literal 2 binary64))))))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 y #s(literal 2 binary64))))))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64))))) (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (*.f64 x (*.f64 (fma.f64 y #s(literal 2 binary64) x) (fma.f64 y #s(literal -2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (*.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) (fma.f64 y #s(literal -2 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y y))) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) x))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) x)) #s(literal -1 binary64))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64))))))
(*.f64 (fma.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (/.f64 (fma.f64 y #s(literal 2 binary64) x) (fma.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64))))))
(*.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -2 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64))))))
(*.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) x) (fma.f64 y #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -2 binary64) x)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 512 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 512 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)))) (fma.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64))))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -2 binary64) x)) (-.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)) (*.f64 x (*.f64 x x))))))
(*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 16 binary64)))))))
(*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64)))))))
(*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 16 binary64)))) (-.f64 (*.f64 y #s(literal 2 binary64)) x))))
(*.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 2 binary64)) x))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y #s(literal 2 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) x)))))
(*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x) (-.f64 (*.f64 y #s(literal 2 binary64)) x))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y #s(literal 2 binary64))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal -4 binary64) (fma.f64 y #s(literal -2 binary64) x))) (*.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal -4 binary64) (fma.f64 y #s(literal -2 binary64) x))) (*.f64 (*.f64 y y) (/.f64 #s(literal -4 binary64) (fma.f64 y #s(literal -2 binary64) x))))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (*.f64 (*.f64 x x) (*.f64 (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal -4 binary64) (fma.f64 y #s(literal -2 binary64) x))) (*.f64 (*.f64 y y) (/.f64 #s(literal -4 binary64) (fma.f64 y #s(literal -2 binary64) x))) (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))) (*.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal -4 binary64) (fma.f64 y #s(literal -2 binary64) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 2 binary64)) x)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal -4 binary64) (fma.f64 y #s(literal -2 binary64) x))) (*.f64 (*.f64 y y) (/.f64 #s(literal -4 binary64) (fma.f64 y #s(literal -2 binary64) x)))) (*.f64 (*.f64 x x) (*.f64 (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (/.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (/.f64 #s(literal -4 binary64) (fma.f64 y #s(literal -2 binary64) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 2 binary64)) x)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 512 binary64))) (fma.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)) (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 16 binary64))))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (*.f64 x x))) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 x (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64)))))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 (*.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64)))) (-.f64 (*.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 y (*.f64 y #s(literal 4 binary64)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 16 binary64))) (*.f64 x (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64)))))))) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 x (*.f64 y #s(literal 2 binary64))))))
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 x (fma.f64 y #s(literal 2 binary64) x) (*.f64 y (*.f64 y #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 16 binary64))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 512 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)) (*.f64 x (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) x)) #s(literal -1/2 binary64)))

simplify479.0ms (5.7%)

Memory
-18.0MiB live, 258.4MiB allocated
Algorithm
egg-herbie
Rules
4 694×*-lowering-*.f32
4 694×*-lowering-*.f64
2 832×accelerator-lowering-fma.f32
2 832×accelerator-lowering-fma.f64
1 166×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039360
1123324
2289324
3742324
41855324
53572324
65338324
76424324
87017324
08161288
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow x 2)
(+ (* 2 (* x y)) (pow x 2))
(+ (* 2 (* x y)) (pow x 2))
(+ (* 2 (* x y)) (pow x 2))
(* 2 (* x y))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* 2 (* x y))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* 2 (* x y))
(* x (+ x (* 2 y)))
(* x (+ x (* 2 y)))
(* x (+ x (* 2 y)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
x
(+ x (* 2 y))
(+ x (* 2 y))
(+ x (* 2 y))
(* 2 y)
(* y (+ 2 (/ x y)))
(* y (+ 2 (/ x y)))
(* y (+ 2 (/ x y)))
(* 2 y)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* 2 y)
(+ x (* 2 y))
(+ x (* 2 y))
(+ x (* 2 y))
x
(* x (+ 1 (* 2 (/ y x))))
(* x (+ 1 (* 2 (/ y x))))
(* x (+ 1 (* 2 (/ y x))))
x
(* -1 (* x (- (* -2 (/ y x)) 1)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
Outputs
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* 2 (* x y)) (pow x 2))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(+ (* 2 (* x y)) (pow x 2))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(+ (* 2 (* x y)) (pow x 2))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ x (* 2 y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* x (+ x (* 2 y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* x (+ x (* 2 y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
x
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* y (+ 2 (/ x y)))
(fma.f64 #s(literal 2 binary64) y x)
(* y (+ 2 (/ x y)))
(fma.f64 #s(literal 2 binary64) y x)
(* y (+ 2 (/ x y)))
(fma.f64 #s(literal 2 binary64) y x)
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 #s(literal 2 binary64) y x)
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
x
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) y x)
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) y x)
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) y x)
x
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 #s(literal 2 binary64) y x)

eval77.0ms (0.9%)

Memory
22.2MiB live, 60.1MiB allocated
Compiler

Compiled 9 385 to 795 computations (91.5% saved)

prune109.0ms (1.3%)

Memory
-17.6MiB live, 58.9MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New3331334
Fresh000
Picked033
Done011
Total3335338
Accuracy
100.0%
Counts
338 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.1%
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
48.5%
(fma.f64 x x (*.f64 x (*.f64 y #s(literal 2 binary64))))
52.4%
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
60.8%
(*.f64 y y)
52.3%
(*.f64 x x)
Compiler

Compiled 39 to 23 computations (41% saved)

simplify5.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 2 binary64))
cost-diff0
(*.f64 x (*.f64 y #s(literal 2 binary64)))
cost-diff320
(fma.f64 x x (*.f64 x (*.f64 y #s(literal 2 binary64))))
Rules
30×*-lowering-*.f32
30×*-lowering-*.f64
18×accelerator-lowering-fma.f32
18×accelerator-lowering-fma.f64
12×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0718
11418
22418
32618
02617
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* x x) (* x (* y 2)))
x
(* x (* y 2))
(* y 2)
y
2
Outputs
(+ (* x x) (* x (* y 2)))
(*.f64 x (fma.f64 y #s(literal 2 binary64) x))
x
(* x (* y 2))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(* y 2)
(*.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)

localize20.0ms (0.2%)

Memory
20.6MiB live, 20.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y #s(literal 2 binary64))
accuracy99.6%
(*.f64 x (*.f64 y #s(literal 2 binary64)))
accuracy96.1%
(fma.f64 x x (*.f64 x (*.f64 y #s(literal 2 binary64))))
Samples
12.0ms256×0valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (80.7% of total)
ival-add: 1.0ms (16.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#<alt (+ (* x x) (* x (* y 2)))>
#<alt (* x (* y 2))>
#<alt (* y 2)>
Outputs
#<alt (* 2 (* x y))>
#<alt (* x (+ x (* 2 y)))>
#<alt (* x (+ x (* 2 y)))>
#<alt (* x (+ x (* 2 y)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ y x))))>
#<alt (pow x 2)>
#<alt (+ (* 2 (* x y)) (pow x 2))>
#<alt (+ (* 2 (* x y)) (pow x 2))>
#<alt (+ (* 2 (* x y)) (pow x 2))>
#<alt (* 2 (* x y))>
#<alt (* y (+ (* 2 x) (/ (pow x 2) y)))>
#<alt (* y (+ (* 2 x) (/ (pow x 2) y)))>
#<alt (* y (+ (* 2 x) (/ (pow x 2) y)))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
Calls

15 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(* y 2)
0.0ms
y
@-inf
(* y 2)
0.0ms
y
@0
(* y 2)
0.0ms
y
@0
(+ (* x x) (* x (* y 2)))
0.0ms
x
@0
(+ (* x x) (* x (* y 2)))

rewrite3.0s (35.5%)

Memory
-26.6MiB live, 1 028.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
12 126×accelerator-lowering-fma.f32
12 126×accelerator-lowering-fma.f64
4 372×*-lowering-*.f32
4 372×*-lowering-*.f64
4 030×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
12815
221315
3225815
0859914
Stop Event
iter limit
node limit
Counts
3 → 194
Calls
Call 1
Inputs
(+ (* x x) (* x (* y 2)))
(* x (* y 2))
(* y 2)
Outputs
(+.f64 (*.f64 x x) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x x))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (*.f64 x (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (+.f64 x (*.f64 y #s(literal -2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y #s(literal 2 binary64) x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 x (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (+.f64 x (*.f64 y #s(literal -2 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64)))))) (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))))) (fma.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))))) (fma.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 y y))))))) (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 y y))))))) (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))))))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 y y)))))))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 y y)))))))))
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 y y)))))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 y y)))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64)))))) (/.f64 (*.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (*.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64)))))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64)))))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64)))) (fma.f64 (*.f64 x (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (+.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 x (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (+.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 x (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (+.f64 x (*.f64 y #s(literal -2 binary64))))))))) (/.f64 (*.f64 (*.f64 x (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (+.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (*.f64 x (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (+.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 x (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (+.f64 x (*.f64 y #s(literal -2 binary64))))))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64)))) (fma.f64 (*.f64 x (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (+.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 x (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (+.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 x (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (+.f64 x (*.f64 y #s(literal -2 binary64))))))))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64))))) (fma.f64 x (/.f64 (*.f64 x x) (+.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 x (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (+.f64 x (*.f64 y #s(literal -2 binary64))))))) (/.f64 (*.f64 (*.f64 x (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (+.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 x (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (+.f64 x (*.f64 y #s(literal -2 binary64)))))) (fma.f64 x (/.f64 (*.f64 x x) (+.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 x (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (+.f64 x (*.f64 y #s(literal -2 binary64))))))))
(fma.f64 x x (*.f64 x (*.f64 y #s(literal 2 binary64))))
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(*.f64 (*.f64 x (fma.f64 y #s(literal 2 binary64) x)) (*.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64)))))))
(*.f64 (*.f64 x (fma.f64 y #s(literal 2 binary64) x)) (/.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (*.f64 (*.f64 x (fma.f64 y #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 (*.f64 x (fma.f64 y #s(literal 2 binary64) x)) (fma.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y))))))
(*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64))))))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64)))))))
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y #s(literal 2 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
(*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x))))
(*.f64 (/.f64 (*.f64 x (fma.f64 y #s(literal 2 binary64) x)) x) (/.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64)))) (+.f64 x (*.f64 y #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (*.f64 x (fma.f64 y #s(literal 2 binary64) x)))
(*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (*.f64 (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))))
(*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (*.f64 x (-.f64 (*.f64 y #s(literal 2 binary64)) x)))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 y #s(literal 2 binary64))) (fma.f64 y #s(literal 2 binary64) x))))
(*.f64 (pow.f64 (/.f64 x (*.f64 x (fma.f64 y #s(literal 2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) #s(literal 512 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 (pow.f64 (/.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 y y))))))))
(*.f64 (pow.f64 (/.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 y y))))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x y) #s(literal 1 binary64)))
(*.f64 (*.f64 y #s(literal 2 binary64)) x)
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) x)
(*.f64 (exp.f64 (log.f64 (*.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 (*.f64 x y))))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)

simplify207.0ms (2.5%)

Memory
1.6MiB live, 278.4MiB allocated
Algorithm
egg-herbie
Rules
4 314×accelerator-lowering-fma.f32
4 314×accelerator-lowering-fma.f64
3 424×*-lowering-*.f32
3 424×*-lowering-*.f64
1 468×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026306
176306
2189306
3450306
41284306
52340306
64430306
77001306
08156288
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
(* 2 (* x y))
(* x (+ x (* 2 y)))
(* x (+ x (* 2 y)))
(* x (+ x (* 2 y)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(pow x 2)
(+ (* 2 (* x y)) (pow x 2))
(+ (* 2 (* x y)) (pow x 2))
(+ (* 2 (* x y)) (pow x 2))
(* 2 (* x y))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* 2 (* x y))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
Outputs
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ x (* 2 y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* x (+ x (* 2 y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* x (+ x (* 2 y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* 2 (* x y)) (pow x 2))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(+ (* 2 (* x y)) (pow x 2))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(+ (* 2 (* x y)) (pow x 2))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))

eval30.0ms (0.4%)

Memory
-2.4MiB live, 71.9MiB allocated
Compiler

Compiled 10 051 to 592 computations (94.1% saved)

prune28.0ms (0.3%)

Memory
26.8MiB live, 66.1MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2540254
Fresh000
Picked011
Done044
Total2545259
Accuracy
100.0%
Counts
259 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.1%
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
48.5%
(fma.f64 x x (*.f64 x (*.f64 y #s(literal 2 binary64))))
52.4%
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
60.8%
(*.f64 y y)
52.3%
(*.f64 x x)
Compiler

Compiled 98 to 45 computations (54.1% saved)

regimes13.0ms (0.2%)

Memory
-21.6MiB live, 22.1MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 x x)
(*.f64 y y)
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(fma.f64 x x (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
Outputs
(*.f64 x x)
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
Calls

3 calls:

6.0ms
y
3.0ms
x
3.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
Results
AccuracySegmentsBranch
100.0%2x
97.7%2y
98.6%2(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes9.0ms (0.1%)

Memory
22.8MiB live, 22.8MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 x x)
(*.f64 y y)
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(fma.f64 x x (*.f64 x (*.f64 y #s(literal 2 binary64))))
Outputs
(*.f64 x x)
(*.f64 y y)
Calls

3 calls:

3.0ms
y
3.0ms
x
3.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
Results
AccuracySegmentsBranch
87.2%2y
64.9%3(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
89.6%2x
Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes5.0ms (0.1%)

Memory
-27.1MiB live, 12.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x x)
Outputs
(*.f64 x x)
Calls

3 calls:

2.0ms
x
1.0ms
y
1.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
Results
AccuracySegmentsBranch
52.3%1(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
52.3%1y
52.3%1x
Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch13.0ms (0.1%)

Memory
29.1MiB live, 29.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
-2.312291146749702e+229
-5.917545173606434e+225
Samples
7.0ms128×0valid
Compiler

Compiled 162 to 102 computations (37% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (68.1% of total)
ival-add: 1.0ms (22.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Memory
-9.9MiB live, 28.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
-1.637257711643658e-72
-7.436574689560846e-75
Samples
7.0ms112×0valid
Compiler

Compiled 102 to 70 computations (31.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (84.6% of total)
ival-add: 1.0ms (21.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Memory
-21.9MiB live, 17.2MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01429
11529
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -6000000000000000557000822232139194581342090714703046265907083287615405684918174795201778472545295752576587608589366421864833568271064588258172855153242392488155437810299176528254421517534402037722276896810442250309484828164096 binary64)) (*.f64 x x) (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))
(if (<=.f64 x #s(literal -6365737426045269/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (*.f64 x x) (*.f64 y y))
(*.f64 x x)
Outputs
(if (<=.f64 x #s(literal -6000000000000000557000822232139194581342090714703046265907083287615405684918174795201778472545295752576587608589366421864833568271064588258172855153242392488155437810299176528254421517534402037722276896810442250309484828164096 binary64)) (*.f64 x x) (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))
(if (<=.f64 x #s(literal -6365737426045269/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (*.f64 x x) (*.f64 y y))
(*.f64 x x)

soundness534.0ms (6.3%)

Memory
33.3MiB live, 431.3MiB allocated
Rules
10 584×accelerator-lowering-fma.f32
10 584×accelerator-lowering-fma.f64
7 660×accelerator-lowering-fma.f32
7 660×accelerator-lowering-fma.f64
7 568×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056534
1166534
2468534
31334534
43280534
56441534
08173486
0933
14429
241429
3634929
0821126
01641
19941
2111341
0851435
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 86 to 48 computations (44.2% saved)

preprocess51.0ms (0.6%)

Memory
4.3MiB live, 117.1MiB allocated
Compiler

Compiled 158 to 84 computations (46.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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