Examples.Basics.ProofTests:f4 from sbv-4.4

Time bar (total: 5.5s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×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)

sample799.0ms (14.6%)

Memory
-32.9MiB live, 1 215.0MiB allocated
Samples
516.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 335.0ms
ival-mult: 248.0ms (74% of total)
ival-add: 75.0ms (22.4% of total)
ival-true: 5.0ms (1.5% of total)
exact: 5.0ms (1.5% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

preprocess87.0ms (1.6%)

Memory
-1.5MiB live, 36.1MiB allocated
Algorithm
2×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
1×iter limit
1×saturated
1×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)

explain279.0ms (5.1%)

Memory
27.3MiB live, 182.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
110-0-(+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
20-0-(+.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-rescue110
↳(*.f64 x x)overflow61
↳(*.f64 (*.f64 x #s(literal 2 binary64)) y)overflow33
+.f64(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))nan-rescue20
↳(+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))overflow71
↳(*.f64 x x)overflow61
↳(*.f64 (*.f64 x #s(literal 2 binary64)) y)overflow33
↳(*.f64 y y)overflow75
Confusion
Predicted +Predicted -
+120
-0244
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1200
-00244
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0244
111
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
124.0ms512×0valid
Compiler

Compiled 112 to 40 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 59.0ms (92.6% of total)
ival-add: 4.0ms (6.3% 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
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶95.3%
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
Compiler

Compiled 15 to 9 computations (40% saved)

simplify51.0ms (0.9%)

Memory
-28.1MiB live, 10.9MiB allocated
Algorithm
1×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
1×iter limit
1×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)

localize69.0ms (1.3%)

Memory
17.1MiB live, 56.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy99.4%
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
✓accuracy96.5%
(+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Samples
60.0ms256×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (65.9% of total)
ival-add: 2.0ms (22% 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
10.9MiB live, 10.9MiB 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))

rewrite405.0ms (7.4%)

Memory
-9.5MiB live, 785.8MiB allocated
Algorithm
1×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
1×iter limit
1×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)

simplify280.0ms (5.1%)

Memory
7.0MiB live, 447.8MiB allocated
Algorithm
1×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
1×iter limit
1×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))

eval34.0ms (0.6%)

Memory
13.3MiB live, 93.9MiB allocated
Compiler

Compiled 10 560 to 651 computations (93.8% saved)

prune34.0ms (0.6%)

Memory
4.1MiB live, 77.2MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3015306
Fresh000
Picked101
Done000
Total3025307
Accuracy
100.0%
Counts
307 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))
▶59.3%
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))
▶60.8%
(fma.f64 y y #s(literal 0 binary64))
▶58.9%
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
▶55.8%
(fma.f64 x x #s(literal 0 binary64))
Compiler

Compiled 82 to 52 computations (36.6% saved)

simplify9.0ms (0.2%)

Memory
-25.1MiB live, 13.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 #s(literal 2 binary64) x y)
✓cost-diff0
(fma.f64 y (fma.f64 #s(literal 2 binary64) x 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-diff0
(fma.f64 y y #s(literal 0 binary64))
✓cost-diff0
(fma.f64 x x #s(literal 0 binary64))
✓cost-diff-64
(*.f64 y y)
✓cost-diff0
(fma.f64 #s(literal 2 binary64) y x)
✓cost-diff0
(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))
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
01864
13864
28064
38764
08757
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (+ (* 2 y) x) x) (* y y))
(+ (* 2 y) x)
2
y
x
(* y y)
(+ (* x x) 0)
x
0
(+ (* y y) 0)
y
0
(+ (* x (+ (* 2 y) x)) 0)
x
(+ (* 2 y) x)
2
y
0
(+ (* y (+ (* 2 x) y)) 0)
y
(+ (* 2 x) y)
2
x
0
Outputs
(+ (* (+ (* 2 y) x) x) (* y y))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (fma.f64 x x #s(literal 0 binary64)))
(+ (* 2 y) x)
(fma.f64 #s(literal 2 binary64) y x)
2
#s(literal 2 binary64)
y
x
(* y y)
(fma.f64 y y #s(literal 0 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(+ (* y y) 0)
(fma.f64 y y #s(literal 0 binary64))
y
0
#s(literal 0 binary64)
(+ (* x (+ (* 2 y) x)) 0)
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
x
(+ (* 2 y) x)
(fma.f64 #s(literal 2 binary64) y x)
2
#s(literal 2 binary64)
y
0
#s(literal 0 binary64)
(+ (* y (+ (* 2 x) y)) 0)
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))
y
(+ (* 2 x) y)
(fma.f64 #s(literal 2 binary64) x y)
2
#s(literal 2 binary64)
x
0
#s(literal 0 binary64)

localize53.0ms (1%)

Memory
14.7MiB live, 95.8MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 #s(literal 2 binary64) x y)
✓accuracy100.0%
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))
✓accuracy100.0%
(fma.f64 #s(literal 2 binary64) y x)
✓accuracy100.0%
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
✓accuracy100.0%
(fma.f64 y y #s(literal 0 binary64))
✓accuracy100.0%
(fma.f64 x x #s(literal 0 binary64))
✓accuracy100.0%
(fma.f64 #s(literal 2 binary64) y x)
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))
Samples
35.0ms256×0valid
Compiler

Compiled 63 to 20 computations (68.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 14.0ms (58.5% of total)
ival-add: 10.0ms (41.8% 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
11.4MiB live, 11.4MiB allocated
Counts
8 → 156
Calls
Call 1
Inputs
#<alt (+ (* (+ (* 2 y) x) x) (* y y))>
#<alt (+ (* 2 y) x)>
#<alt (* y y)>
#<alt (+ (* x x) 0)>
#<alt (+ (* y y) 0)>
#<alt (+ (* x (+ (* 2 y) x)) 0)>
#<alt (+ (* y (+ (* 2 x) y)) 0)>
#<alt (+ (* 2 x) y)>
Outputs
#<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 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 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)>
#<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 (* 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 (* 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 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)))>
Calls

39 calls:

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

rewrite526.0ms (9.6%)

Memory
-2.4MiB live, 885.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 748×accelerator-lowering-fma.f32
6 748×accelerator-lowering-fma.f64
4 752×*-lowering-*.f32
4 752×*-lowering-*.f64
4 502×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01844
111844
2136044
0816638
Stop Event
1×iter limit
1×node limit
Counts
8 → 1 212
Calls
Call 1
Inputs
(+ (* (+ (* 2 y) x) x) (* y y))
(+ (* 2 y) x)
(* y y)
(+ (* x x) 0)
(+ (* y y) 0)
(+ (* x (+ (* 2 y) x)) 0)
(+ (* y (+ (* 2 x) y)) 0)
(+ (* 2 x) y)
Outputs
(+.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(+.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64)))
(+.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+.f64 (*.f64 y (*.f64 #s(literal 2 binary64) x)) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))
(-.f64 (/.f64 (fma.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (-.f64 #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 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (-.f64 #s(literal 0 binary64) (fma.f64 y y #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)) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64)))) (/.f64 (fma.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64)))))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))
(fma.f64 y y (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64)))
(fma.f64 y (*.f64 #s(literal 2 binary64) x) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))
(fma.f64 x (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64)) (/.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64)) (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(fma.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))) (fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) y (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (fma.f64 x x #s(literal 0 binary64)))
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(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 #s(literal 2 binary64) x y))) (*.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x y))) (/.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) y))
(*.f64 (/.f64 (pow.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 #s(literal 2 binary64) x y))))
(*.f64 (/.f64 (pow.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 #s(literal 2 binary64) x y))) (/.f64 (pow.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) y)) (/.f64 (pow.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 #s(literal 2 binary64) x y)))
(*.f64 (/.f64 (pow.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x y))) (/.f64 (pow.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) #s(literal 3/2 binary64)) y))
(*.f64 (/.f64 y (fma.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) (fma.f64 y (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) y) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 #s(literal 2 binary64) x y)) (fma.f64 #s(literal 2 binary64) x y)))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 #s(literal 2 binary64) x y)) (fma.f64 #s(literal 2 binary64) x y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) y))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 #s(literal 2 binary64) x y)) y) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x y)))
(*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) (fma.f64 y (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 #s(literal 2 binary64) x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) (fma.f64 y (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 y (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))) #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 #s(literal 2 binary64) x y)) (fma.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) (fma.f64 y (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 y (fma.f64 #s(literal 2 binary64) x 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 y (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))) #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) y) y) (/.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 #s(literal 2 binary64) x y)))
(*.f64 (/.f64 (*.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) y) (fma.f64 #s(literal 2 binary64) x y)) (/.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(*.f64 (/.f64 (*.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) y) (fma.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) (fma.f64 y (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) x y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))) #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x y)) y) (/.f64 y (fma.f64 #s(literal 2 binary64) x y)))
(*.f64 (/.f64 (*.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x y)) (fma.f64 #s(literal 2 binary64) x y)) (/.f64 y y))
(*.f64 (/.f64 (*.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x y)) (fma.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64)) (fma.f64 y (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))) #s(literal 0 binary64)))))
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) x) y)
(-.f64 (fma.f64 #s(literal 2 binary64) x y) (/.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) y)))
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) y)))
(-.f64 (/.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) y)))
(-.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 y (*.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (-.f64 y (*.f64 #s(literal 2 binary64) x))))
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 x #s(literal 2 binary64) y)
(/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64))) (fma.f64 y (-.f64 y (*.f64 #s(literal 2 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64))) (fma.f64 y y (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (*.f64 y (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) y))
(/.f64 (neg.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 #s(literal 2 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (*.f64 y (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 y y #s(literal 0 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 #s(literal 2 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64))) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) y) (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64))) (-.f64 y (*.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 #s(literal 2 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64))) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) y) (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 y y #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) y) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) y) (-.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 #s(literal 2 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 y y #s(literal 0 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) y))))
(/.f64 (neg.f64 (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 y (*.f64 #s(literal 2 binary64) x))))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 #s(literal 2 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64))) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) y) (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 y y #s(literal 0 binary64)))) #s(literal -1 binary64))
(*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 #s(literal 2 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)))))
(*.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) y)))

simplify376.0ms (6.9%)

Memory
-1.3MiB live, 555.3MiB allocated
Algorithm
1×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
082930
1269888
2745888
32220804
44628804
57593804
08061702
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
(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 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))))
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)
(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)
(* 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))
(* 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)))))
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)))
Outputs
(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 x #s(literal 2 binary64) y) #s(literal 0 binary64)))
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 x 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)) (/ (pow x 2) (pow y 2)))))
(fma.f64 x x (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 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 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(fma.f64 x x (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 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))
(+ (* 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 x (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 x (fma.f64 y (fma.f64 x #s(literal 2 binary64) 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 x #s(literal 2 binary64) 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 x #s(literal 2 binary64) 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 x #s(literal 2 binary64) 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 x #s(literal 2 binary64) y) #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))
(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))
(* 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))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x 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))
(* 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 #s(literal 2 binary64) (*.f64 x 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))
(* 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 #s(literal 2 binary64) (*.f64 x 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))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) 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)

eval256.0ms (4.7%)

Memory
34.3MiB live, 361.7MiB allocated
Compiler

Compiled 52 896 to 2 633 computations (95% saved)

prune278.0ms (5.1%)

Memory
-45.0MiB live, 451.1MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1 41541 419
Fresh000
Picked415
Done000
Total1 41951 424
Accuracy
100.0%
Counts
1 424 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))
▶58.9%
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
▶59.3%
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
▶60.8%
(*.f64 y y)
▶55.8%
(*.f64 x x)
Compiler

Compiled 37 to 22 computations (40.5% saved)

simplify5.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01138
11738
22938
33938
43938
03934
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* x x)
x
(* y y)
y
(* (+ (* 2 x) y) y)
(+ (* 2 x) y)
2
x
y
(* (+ (* 2 y) x) x)
(+ (* 2 y) x)
2
y
x
Outputs
(* x x)
(*.f64 x x)
x
(* y y)
(*.f64 y y)
y
(* (+ (* 2 x) y) y)
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(+ (* 2 x) y)
(fma.f64 x #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
x
y
(* (+ (* 2 y) x) x)
(*.f64 x (fma.f64 y #s(literal 2 binary64) x))
(+ (* 2 y) x)
(fma.f64 y #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
y
x

localize35.0ms (0.6%)

Memory
-6.3MiB live, 70.7MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 #s(literal 2 binary64) y x)
✓accuracy100.0%
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
✓accuracy100.0%
(fma.f64 #s(literal 2 binary64) x y)
✓accuracy100.0%
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(*.f64 x x)
Samples
22.0ms256×0valid
Compiler

Compiled 36 to 13 computations (63.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 10.0ms (76.6% of total)
ival-add: 2.0ms (15.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
6 → 120
Calls
Call 1
Inputs
#<alt (* x x)>
#<alt (* y y)>
#<alt (* (+ (* 2 x) y) y)>
#<alt (+ (* 2 x) y)>
#<alt (* (+ (* 2 y) x) x)>
#<alt (+ (* 2 y) 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 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 (* 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 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 (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

30 calls:

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

rewrite499.0ms (9.1%)

Memory
25.6MiB live, 734.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 546×accelerator-lowering-fma.f32
6 546×accelerator-lowering-fma.f64
4 454×/-lowering-/.f32
4 454×/-lowering-/.f64
4 186×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01130
14230
232730
3318030
0894126
Stop Event
1×iter limit
1×node limit
Counts
6 → 384
Calls
Call 1
Inputs
(* x x)
(* y y)
(* (+ (* 2 x) y) y)
(+ (* 2 x) y)
(* (+ (* 2 y) x) x)
(+ (* 2 y) 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)))
(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 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(*.f64 y y)
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y))
(+.f64 (*.f64 y y) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 y y))
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (-.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 y y))))
(fma.f64 x (*.f64 y #s(literal 2 binary64)) (*.f64 y y))
(fma.f64 y y (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 y (*.f64 x #s(literal 2 binary64)) (*.f64 y y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) (*.f64 y y))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (*.f64 y y))
(fma.f64 (*.f64 y #s(literal 2 binary64)) x (*.f64 y y))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 x y) #s(literal 2 binary64) (*.f64 y y))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 y (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) y) (*.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x x) #s(literal 4 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y))))
(/.f64 (*.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)) (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))))) (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 y (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64))))
(/.f64 (*.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (-.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 y (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) y) (*.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) y)))
(/.f64 (neg.f64 (*.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)) (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64)))))) (neg.f64 (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 8 binary64))) (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 y (*.f64 y y)) (-.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (*.f64 y (*.f64 y (*.f64 x (*.f64 y #s(literal 2 binary64))))))))
(/.f64 (fma.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 8 binary64))) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (fma.f64 x (*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 x (*.f64 y #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 y y)))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) y)))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y)))
(/.f64 (*.f64 y (fma.f64 y y (*.f64 #s(literal -4 binary64) (*.f64 x x)))) (-.f64 y (*.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) (*.f64 y (*.f64 y y)))) y) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) y) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) y)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y)))
(/.f64 (*.f64 (fma.f64 y y (*.f64 #s(literal -4 binary64) (*.f64 x x))) y) (-.f64 y (*.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) (*.f64 y (*.f64 y y)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) y))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 8 binary64))) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (-.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (*.f64 y (*.f64 y (*.f64 x (*.f64 y #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 8 binary64))) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (neg.f64 (fma.f64 x (*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 x (*.f64 y #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (-.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) (*.f64 y (*.f64 y y)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) y))))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 y y (*.f64 #s(literal -4 binary64) (*.f64 x x))))) (neg.f64 (-.f64 y (*.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) (*.f64 y (*.f64 y y)))) y)) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) y)) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) y))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y (*.f64 #s(literal -4 binary64) (*.f64 x x))) y)) (neg.f64 (-.f64 y (*.f64 x #s(literal 2 binary64)))))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 y (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) y) (*.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) #s(literal -1 binary64))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(*.f64 (fma.f64 x #s(literal 2 binary64) y) y)
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) y))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))) (/.f64 y (fma.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
(*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) y)) y))
(*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (/.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) y)))
(*.f64 (*.f64 y (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
(*.f64 (*.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) y)))
(*.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 (-.f64 y (*.f64 x #s(literal 2 binary64))) (-.f64 y (*.f64 x #s(literal 2 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))))) (fma.f64 (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64))))
(*.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64)) (*.f64 y (*.f64 (-.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64)))))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (fma.f64 x #s(literal 2 binary64) y))
(*.f64 (/.f64 (*.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y)))) (fma.f64 y (fma.f64 x #s(literal 2 binary64) y) (*.f64 (*.f64 x x) #s(literal 4 binary64))))
(+.f64 y (*.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x #s(literal 2 binary64)) y)
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2 binary64)) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 2 binary64)) y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 y (*.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64)))) (-.f64 (*.f64 x #s(literal 2 binary64)) y)) (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64)))) (-.f64 (*.f64 x #s(literal 2 binary64)) y)))
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 16 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 2 binary64)) x))) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x x)))
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x) (*.f64 x x))) (*.f64 (/.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x) (*.f64 y (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (/.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x) (*.f64 x x))))
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(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y #s(literal 4 binary64)))) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (-.f64 (*.f64 y #s(literal 2 binary64)) x)))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y y))))) (neg.f64 (neg.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 y #s(literal 2 binary64)) x)))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.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 y #s(literal 2 binary64)) x)))))) (neg.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 2 binary64)) x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.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 y #s(literal 2 binary64)) x))))) (neg.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 2 binary64)) x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (-.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 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.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))))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 (*.f64 y y) #s(literal 8 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))))))
(/.f64 (neg.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 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64))))))) (neg.f64 (-.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 8 binary64))) (*.f64 x (*.f64 x x)))))
(/.f64 (neg.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 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 2 binary64)) x)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 16 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 2 binary64)) x)))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y y)))) #s(literal -1 binary64))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 2 binary64)) x))))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) (/.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x) (-.f64 (*.f64 y #s(literal 2 binary64)) x)))
(*.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) (/.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 (fma.f64 y (*.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.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) (-.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 y (*.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y #s(literal 2 binary64)) x))))
(*.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 x (-.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 2 binary64)) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(*.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 y (*.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (fma.f64 y #s(literal 2 binary64) 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 x)) (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 (-.f64 x (*.f64 y #s(literal 2 binary64))) (-.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 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 y (*.f64 y (*.f64 y y))) #s(literal 16 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 y (*.f64 y (*.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)))))))) (-.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (*.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 (*.f64 y (*.f64 (*.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 (fma.f64 x (-.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 (*.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 y (*.f64 (*.f64 y y) #s(literal 8 binary64))) (*.f64 x (*.f64 x x)))))
(*.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 y (*.f64 y #s(literal 4 binary64)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 16 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) x) (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 16 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x x))))

simplify259.0ms (4.7%)

Memory
-37.5MiB live, 418.8MiB allocated
Algorithm
1×egg-herbie
Rules
5 156×accelerator-lowering-fma.f32
5 156×accelerator-lowering-fma.f64
3 726×*-lowering-*.f32
3 726×*-lowering-*.f64
1 756×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064612
1213576
2539576
31528576
42866576
54683576
66532576
77230576
87850576
97987576
08019504
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
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 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))
(* 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))))
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)))
(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 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 #s(literal 2 binary64) (fma.f64 x 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 #s(literal 2 binary64) (fma.f64 x 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 #s(literal 2 binary64) (fma.f64 x 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))
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)
(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))
(* 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)

eval61.0ms (1.1%)

Memory
26.1MiB live, 175.2MiB allocated
Compiler

Compiled 13 490 to 1 261 computations (90.7% saved)

prune126.0ms (2.3%)

Memory
17.9MiB live, 136.3MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New5040504
Fresh000
Picked044
Done011
Total5045509
Accuracy
100.0%
Counts
509 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))
✓58.9%
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
✓59.3%
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
✓60.8%
(*.f64 y y)
✓55.8%
(*.f64 x x)
Compiler

Compiled 101 to 41 computations (59.4% saved)

regimes19.0ms (0.3%)

Memory
0.4MiB live, 36.2MiB allocated
Counts
10 → 1
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 #s(literal 2 binary64) x y) y)
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
Outputs
(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))
Calls

3 calls:

7.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
5.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.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)

regimes20.0ms (0.4%)

Memory
-17.2MiB live, 20.7MiB allocated
Counts
8 → 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 #s(literal 2 binary64) x y) y)
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) #s(literal 0 binary64))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) #s(literal 0 binary64))
Outputs
(*.f64 x x)
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
Calls

3 calls:

12.0ms
y
3.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
3.0ms
x
Results
AccuracySegmentsBranch
89.4%2x
89.2%2y
68.4%4(+.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)

regimes2.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
4 → 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))
Outputs
(*.f64 x x)
(*.f64 y y)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
89.3%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB 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:

1.0ms
x
1.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
1.0ms
y
Results
AccuracySegmentsBranch
55.8%1(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (*.f64 y y))
55.8%1y
55.8%1x
Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch38.0ms (0.7%)

Memory
-20.1MiB live, 18.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
37.0ms
-9.715764349355046e-11
-2.632233203762338e-12
Samples
33.0ms112×0valid
Compiler

Compiled 123 to 84 computations (31.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (80.3% of total)
ival-add: 1.0ms (26.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch11.0ms (0.2%)

Memory
22.1MiB live, 22.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
-9.715764349355046e-11
-2.632233203762338e-12
Samples
6.0ms112×0valid
Compiler

Compiled 102 to 70 computations (31.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (76.4% of total)
ival-add: 1.0ms (25.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify15.0ms (0.3%)

Memory
-41.5MiB live, 16.6MiB allocated
Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01535
11635
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))
(if (<=.f64 x #s(literal -4332790137498831/1237940039285380274899124224 binary64)) (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(if (<=.f64 x #s(literal -4208996133570293/618970019642690137449562112 binary64)) (*.f64 x x) (*.f64 y y))
(*.f64 x x)
Outputs
(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))
(if (<=.f64 x #s(literal -4332790137498831/1237940039285380274899124224 binary64)) (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
(if (<=.f64 x #s(literal -4332790137498831/1237940039285380274899124224 binary64)) (*.f64 x x) (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))
(if (<=.f64 x #s(literal -4208996133570293/618970019642690137449562112 binary64)) (*.f64 x x) (*.f64 y y))
(*.f64 x x)

soundness718.0ms (13.1%)

Memory
16.1MiB live, 527.4MiB allocated
Rules
7 660×accelerator-lowering-fma.f32
7 660×accelerator-lowering-fma.f64
7 568×accelerator-lowering-fma.f32
7 568×accelerator-lowering-fma.f64
6 748×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056534
1166534
2468534
31334534
43280534
56441534
08173486
01844
111844
2136044
0816638
0933
14429
241429
3634929
0821126
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 100 to 54 computations (46% saved)

preprocess112.0ms (2%)

Memory
-9.5MiB live, 159.5MiB allocated
Remove

(sort x y)

Compiler

Compiled 156 to 78 computations (50% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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