Linear.Quaternion:$c/ from linear-1.19.1.3, E

Time bar (total: 8.9s)

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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 17 to 9 computations (47.1% saved)

sample949.0ms (10.7%)

Memory
-124.2MiB live, 1 188.9MiB allocated
Samples
482.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 267.0ms
ival-mult: 132.0ms (49.5% of total)
ival-add: 126.0ms (47.2% of total)
ival-true: 6.0ms (2.2% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

preprocess39.0ms (0.4%)

Memory
0.1MiB live, 39.3MiB allocated
Algorithm
2×egg-herbie
Rules
186×unsub-neg
184×sub-neg
172×cancel-sign-sub
142×distribute-lft-neg-in
124×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02292
16780
217456
352054
4111554
5131554
6132554
0715
11313
2239
3359
4439
5469
0468
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))
Outputs
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))
(fma.f64 x x (*.f64 y (*.f64 y #s(literal 3 binary64))))
Call 2
Inputs
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))
(+ (+ (+ (* (neg x) (neg x)) (* y y)) (* y y)) (* y y))
(+ (+ (+ (* x x) (* (neg y) (neg y))) (* (neg y) (neg y))) (* (neg y) (neg y)))
(neg (+ (+ (+ (* (neg x) (neg x)) (* y y)) (* y y)) (* y y)))
(neg (+ (+ (+ (* x x) (* (neg y) (neg y))) (* (neg y) (neg y))) (* (neg y) (neg y))))
(+ (+ (+ (* y y) (* x x)) (* x x)) (* x x))
Outputs
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))
(+ (* x x) (* (* y y) 3))
(+ (+ (+ (* (neg x) (neg x)) (* y y)) (* y y)) (* y y))
(+ (* x x) (* (* y y) 3))
(+ (+ (+ (* x x) (* (neg y) (neg y))) (* (neg y) (neg y))) (* (neg y) (neg y)))
(+ (* x x) (* (* y y) 3))
(neg (+ (+ (+ (* (neg x) (neg x)) (* y y)) (* y y)) (* y y)))
(- (* (* y y) -3) (* x x))
(neg (+ (+ (+ (* x x) (* (neg y) (neg y))) (* (neg y) (neg y))) (* (neg y) (neg y))))
(- (* (* y y) -3) (* x x))
(+ (+ (+ (* y y) (* x x)) (* x x)) (* x x))
(+ (* y y) (* x (* x 3)))
Symmetry

(abs x)

(abs y)

explain103.0ms (1.2%)

Memory
8.5MiB live, 286.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-y
00-0-(*.f64 y y)
00-0-(*.f64 x x)
00-0-(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
32.0ms512×0valid
Compiler

Compiled 120 to 32 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 8.0ms (50.7% of total)
ival-add: 7.0ms (44.3% of total)
ival-true: 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
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Compiler

Compiled 17 to 7 computations (58.8% saved)

simplify7.0ms (0.1%)

Memory
-22.2MiB live, 15.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff128
(+.f64 (*.f64 x x) (*.f64 y y))
✓cost-diff320
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
✓cost-diff384
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Rules
52×accelerator-lowering-fma.f32
52×accelerator-lowering-fma.f64
36×+-lowering-+.f64
36×+-lowering-+.f32
28×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0741
11337
22333
33533
44333
54633
04630
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))
(+ (+ (* x x) (* y y)) (* y y))
(+ (* x x) (* y y))
(* x x)
x
(* y y)
y
Outputs
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))
(fma.f64 x x (*.f64 y (*.f64 y #s(literal 3 binary64))))
(+ (+ (* x x) (* y y)) (* y y))
(fma.f64 y (+.f64 y y) (*.f64 x x))
(+ (* x x) (* y y))
(fma.f64 x x (*.f64 y y))
(* x x)
(*.f64 x x)
x
(* y y)
(*.f64 y y)
y

localize22.0ms (0.3%)

Memory
10.1MiB live, 46.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(+.f64 (*.f64 x x) (*.f64 y y))
✓accuracy100.0%
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
✓accuracy99.9%
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Samples
14.0ms256×0valid
Compiler

Compiled 43 to 9 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 3.0ms (47% of total)
ival-mult: 3.0ms (47% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#<alt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))>
#<alt (+ (+ (* x x) (* y y)) (* y y))>
#<alt (+ (* x x) (* y y))>
#<alt (* x x)>
Outputs
#<alt (+ (* 2 (pow y 2)) (pow y 2))>
#<alt (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))>
#<alt (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))>
#<alt (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* 3 (pow y 2)) (pow x 2))>
#<alt (+ (* 3 (pow y 2)) (pow x 2))>
#<alt (+ (* 3 (pow y 2)) (pow x 2))>
#<alt (* 3 (pow y 2))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* 3 (pow y 2))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* 2 (pow y 2))>
#<alt (+ (* 2 (pow y 2)) (pow x 2))>
#<alt (+ (* 2 (pow y 2)) (pow x 2))>
#<alt (+ (* 2 (pow y 2)) (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* 2 (pow y 2)) (pow x 2))>
#<alt (+ (* 2 (pow y 2)) (pow x 2))>
#<alt (+ (* 2 (pow y 2)) (pow x 2))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (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)>
Calls

21 calls:

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

rewrite557.0ms (6.3%)

Memory
-8.1MiB live, 810.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 354×accelerator-lowering-fma.f32
9 354×accelerator-lowering-fma.f64
4 470×*-lowering-*.f32
4 470×*-lowering-*.f64
3 310×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0736
14932
251226
3757426
0818123
Stop Event
1×iter limit
1×node limit
Counts
4 → 331
Calls
Call 1
Inputs
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))
(+ (+ (* x x) (* y y)) (* y y))
(+ (* x x) (* y y))
(* x x)
Outputs
(+.f64 (*.f64 x x) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(+.f64 (*.f64 y y) (fma.f64 x x (*.f64 y (+.f64 y y))))
(+.f64 (fma.f64 x x (*.f64 y y)) (*.f64 y (+.f64 y y)))
(+.f64 (fma.f64 x x (*.f64 y (+.f64 y y))) (*.f64 y y))
(+.f64 (*.f64 y (+.f64 y y)) (fma.f64 x x (*.f64 y y)))
(+.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 y y))) (fma.f64 x x (*.f64 y (+.f64 y y)))) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) (*.f64 x x))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 y (+.f64 y y))))
(-.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))) (fma.f64 x x #s(literal 0 binary64))) (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y y)))
(-.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 y y))) (fma.f64 x x (*.f64 y (+.f64 y y)))) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y y)))) (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 y y))) (fma.f64 x x (*.f64 y (+.f64 y y)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y y)))))
(-.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))) (-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))) (/.f64 (*.f64 y (+.f64 y y)) (-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))))
(-.f64 (fma.f64 y y (/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (fma.f64 y (+.f64 y y) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 y y (fma.f64 x x (*.f64 y (+.f64 y y))))
(fma.f64 y (+.f64 y y) (fma.f64 x x (*.f64 y y)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
(fma.f64 y (+.f64 y (+.f64 y y)) (*.f64 x x))
(fma.f64 y (*.f64 (+.f64 y y) (*.f64 y (+.f64 y y))) (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 y y) (*.f64 (+.f64 y y) (+.f64 y y)) (fma.f64 x x (*.f64 y y)))
(fma.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 y (+.f64 y y)))
(fma.f64 (fma.f64 x x (*.f64 y y)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 y (+.f64 y y)))
(fma.f64 (fma.f64 x x (*.f64 y (+.f64 y y))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 y y))
(fma.f64 (fma.f64 x x (*.f64 y (+.f64 y y))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y y))
(fma.f64 (fma.f64 x x (*.f64 y (+.f64 y y))) (/.f64 (fma.f64 x x (*.f64 y (+.f64 y y))) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 x x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) (*.f64 y (+.f64 y y))) (fma.f64 x x (*.f64 y y)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (+.f64 y y)))
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y (+.f64 y y)))
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (+.f64 y y)))
(fma.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 y y))) (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y))
(fma.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y y))
(fma.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 (fma.f64 x x (*.f64 y (+.f64 y y))) (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y))
(fma.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 y y))) (fma.f64 x x (*.f64 y (+.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))))
(fma.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 y (+.f64 y y)))
(fma.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 y y))) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y y))
(fma.f64 (*.f64 y (+.f64 y y)) (*.f64 y (+.f64 y y)) (fma.f64 x x (*.f64 y y)))
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(*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))))
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) (+.f64 x y))
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))) (fma.f64 x x (*.f64 y y)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x)))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x)))))
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (fma.f64 x x (*.f64 y y))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(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)))

simplify706.0ms (8%)

Memory
-4.5MiB live, 503.0MiB allocated
Algorithm
1×egg-herbie
Rules
10 540×accelerator-lowering-fma.f32
10 540×accelerator-lowering-fma.f64
6 708×*-lowering-*.f32
6 708×*-lowering-*.f64
1 856×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030624
186552
2215552
3851552
42011552
52650552
64169552
75649552
86638552
97914552
08035498
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(pow y 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(pow 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)
Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 y (*.f64 y #s(literal 3 binary64)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(* 3 (pow y 2))
(*.f64 y (*.f64 y #s(literal 3 binary64)))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(* 3 (pow y 2))
(*.f64 y (*.f64 y #s(literal 3 binary64)))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x))
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval91.0ms (1%)

Memory
-0.2MiB live, 84.7MiB allocated
Compiler

Compiled 16 029 to 1 034 computations (93.5% saved)

prune232.0ms (2.6%)

Memory
-14.2MiB live, 108.3MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4078415
Fresh000
Picked101
Done000
Total4088416
Accuracy
100.0%
Counts
416 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶35.6%
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 y y))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y y))
99.9%
(fma.f64 y (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
▶99.9%
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
36.5%
(+.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 y y))) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y y))
▶99.8%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 y y))))) (*.f64 y y))
▶83.0%
(+.f64 (*.f64 x x) (*.f64 y y))
54.9%
(*.f64 y (*.f64 y #s(literal 3 binary64)))
▶62.1%
(*.f64 x x)
Compiler

Compiled 216 to 116 computations (46.3% saved)

simplify362.0ms (4.1%)

Memory
-4.9MiB live, 309.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x x (*.f64 y (+.f64 y y)))
✓cost-diff0
(fma.f64 x x #s(literal 0 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
✓cost-diff2432
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 y y))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y y))
✓cost-diff0
(fma.f64 x x (*.f64 y (+.f64 y y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 y y))))
✓cost-diff384
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 y y))))) (*.f64 y y))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 y y)))))
✓cost-diff-64
(*.f64 y y)
✓cost-diff-64
(*.f64 x x)
✓cost-diff192
(+.f64 (*.f64 x x) (*.f64 y y))
✓cost-diff-64
(*.f64 x x)
✓cost-diff-64
(*.f64 y y)
✓cost-diff-64
(*.f64 #s(literal 3 binary64) (*.f64 y y))
✓cost-diff0
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Rules
4 776×accelerator-lowering-fma.f32
4 776×accelerator-lowering-fma.f64
4 336×*-lowering-*.f32
4 336×*-lowering-*.f64
1 490×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021145
155145
2171145
3495145
42300145
56059145
66462145
76798145
87257145
97910145
08257136
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* x x) (* 3 (* y y)))
x
(* 3 (* y y))
3
(* y y)
y
(* x x)
x
(+ (* x x) (* y y))
(* x x)
x
(* y y)
y
(+ (/ 1 (/ 1 (+ (* x x) (* y (+ y y))))) (* y y))
(/ 1 (/ 1 (+ (* x x) (* y (+ y y)))))
1
(/ 1 (+ (* x x) (* y (+ y y))))
(+ (* x x) (* y (+ y y)))
x
(* y (+ y y))
y
(+ y y)
(* y y)
(+ (* (/ 1 (+ (* x x) 0)) (* (+ (* x x) (* y (+ y y))) (+ (* x x) 0))) (* y y))
(/ 1 (+ (* x x) 0))
1
(+ (* x x) 0)
x
0
(* (+ (* x x) (* y (+ y y))) (+ (* x x) 0))
(+ (* x x) (* y (+ y y)))
(* y (+ y y))
y
(+ y y)
(* y y)
Outputs
(+ (* x x) (* 3 (* y y)))
(fma.f64 x x (fma.f64 #s(literal 3 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
x
(* 3 (* y y))
(fma.f64 #s(literal 3 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
3
#s(literal 3 binary64)
(* y y)
(fma.f64 y y #s(literal 0 binary64))
y
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
(+ (* x x) (* y y))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
(* y y)
(fma.f64 y y #s(literal 0 binary64))
y
(+ (/ 1 (/ 1 (+ (* x x) (* y (+ y y))))) (* y y))
(fma.f64 x x (fma.f64 #s(literal 3 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (/ 1 (+ (* x x) (* y (+ y y)))))
(fma.f64 x x (fma.f64 y (+.f64 y y) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(/ 1 (+ (* x x) (* y (+ y y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 y (+.f64 y y) #s(literal 0 binary64))))
(+ (* x x) (* y (+ y y)))
(fma.f64 x x (fma.f64 y (+.f64 y y) #s(literal 0 binary64)))
x
(* y (+ y y))
(fma.f64 y (+.f64 y y) #s(literal 0 binary64))
y
(+ y y)
(+.f64 y y)
(* y y)
(fma.f64 y y #s(literal 0 binary64))
(+ (* (/ 1 (+ (* x x) 0)) (* (+ (* x x) (* y (+ y y))) (+ (* x x) 0))) (* y y))
(fma.f64 x x (fma.f64 #s(literal 3 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (+ (* x x) 0))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(* (+ (* x x) (* y (+ y y))) (+ (* x x) 0))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x (fma.f64 y (+.f64 y y) #s(literal 0 binary64))) #s(literal 0 binary64))
(+ (* x x) (* y (+ y y)))
(fma.f64 x x (fma.f64 y (+.f64 y y) #s(literal 0 binary64)))
(* y (+ y y))
(fma.f64 y (+.f64 y y) #s(literal 0 binary64))
y
(+ y y)
(+.f64 y y)
(* y y)
(fma.f64 y y #s(literal 0 binary64))

localize70.0ms (0.8%)

Memory
30.4MiB live, 144.4MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x x (*.f64 y (+.f64 y y)))
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
✓accuracy86.7%
(*.f64 (fma.f64 x x (*.f64 y (+.f64 y y))) (fma.f64 x x #s(literal 0 binary64)))
✓accuracy48.9%
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 y y))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y y))
✓accuracy100.0%
(fma.f64 x x (*.f64 y (+.f64 y y)))
✓accuracy99.9%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 y y))))) (*.f64 y y))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 y y)))))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 y y))))
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(+.f64 (*.f64 x x) (*.f64 y y))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
✓accuracy100.0%
(*.f64 y y)
✓accuracy99.8%
(*.f64 #s(literal 3 binary64) (*.f64 y y))
Samples
36.0ms256×0valid
Compiler

Compiled 169 to 23 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-add: 9.0ms (40.2% of total)
ival-mult: 9.0ms (40.2% of total)
ival-div: 5.0ms (22.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-26.7MiB live, 30.1MiB allocated
Counts
13 → 252
Calls
Call 1
Inputs
#<alt (+ (* x x) (* 3 (* y y)))>
#<alt (* 3 (* y y))>
#<alt (* y y)>
#<alt (* x x)>
#<alt (+ (* x x) (* y y))>
#<alt (/ 1 (/ 1 (+ (* x x) (* y (+ y y)))))>
#<alt (+ (/ 1 (/ 1 (+ (* x x) (* y (+ y y))))) (* y y))>
#<alt (/ 1 (+ (* x x) (* y (+ y y))))>
#<alt (+ (* x x) (* y (+ y y)))>
#<alt (+ (* (/ 1 (+ (* x x) 0)) (* (+ (* x x) (* y (+ y y))) (+ (* x x) 0))) (* y y))>
#<alt (/ 1 (+ (* x x) 0))>
#<alt (+ (* x x) 0)>
#<alt (* (+ (* x x) (* y (+ y y))) (+ (* x x) 0))>
Outputs
#<alt (* 3 (pow y 2))>
#<alt (+ (* 3 (pow y 2)) (pow x 2))>
#<alt (+ (* 3 (pow y 2)) (pow x 2))>
#<alt (+ (* 3 (pow y 2)) (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* 3 (pow y 2)) (pow x 2))>
#<alt (+ (* 3 (pow y 2)) (pow x 2))>
#<alt (+ (* 3 (pow y 2)) (pow x 2))>
#<alt (* 3 (pow y 2))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* 3 (pow y 2))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (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 (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 x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* 2 (pow y 2))>
#<alt (+ (* 2 (pow y 2)) (pow x 2))>
#<alt (+ (* 2 (pow y 2)) (pow x 2))>
#<alt (+ (* 2 (pow y 2)) (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* 2 (pow y 2)) (pow x 2))>
#<alt (+ (* 2 (pow y 2)) (pow x 2))>
#<alt (+ (* 2 (pow y 2)) (pow x 2))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))>
#<alt (+ (* 2 (pow y 2)) (pow y 2))>
#<alt (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))>
#<alt (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))>
#<alt (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* 3 (pow y 2)) (pow x 2))>
#<alt (+ (* 3 (pow y 2)) (pow x 2))>
#<alt (+ (* 3 (pow y 2)) (pow x 2))>
#<alt (* 3 (pow y 2))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* 3 (pow y 2))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (/ 1/2 (pow y 2))>
#<alt (+ (* -1/4 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))>
#<alt (+ (* (pow x 2) (- (* 1/8 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 8))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* -2 (/ (pow y 2) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 1 (* 4 (/ (pow y 4) (pow x 4)))) (* 2 (/ (pow y 2) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 1 (* -8 (/ (pow y 6) (pow x 6)))) (+ (* -4 (/ (pow y 4) (pow x 4))) (* 2 (/ (pow y 2) (pow x 2))))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* -2 (/ (pow y 2) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 1 (* 4 (/ (pow y 4) (pow x 4)))) (* 2 (/ (pow y 2) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 1 (* -8 (/ (pow y 6) (pow x 6)))) (+ (* -4 (/ (pow y 4) (pow x 4))) (* 2 (/ (pow y 2) (pow x 2))))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (+ (* -2 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))>
#<alt (+ (* (pow y 2) (- (* 4 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))>
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -8 (/ (pow y 2) (pow x 8))) (* 4 (/ 1 (pow x 6))))) (* 2 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ (+ 1/2 (* -1/4 (/ (pow x 2) (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 1/2 (* 1/8 (/ (pow x 4) (pow y 4)))) (* 1/4 (/ (pow x 2) (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 1/2 (* -1/16 (/ (pow x 6) (pow y 6)))) (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2))))) (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ (+ 1/2 (* -1/4 (/ (pow x 2) (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 1/2 (* 1/8 (/ (pow x 4) (pow y 4)))) (* 1/4 (/ (pow x 2) (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 1/2 (* -1/16 (/ (pow x 6) (pow y 6)))) (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2))))) (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (+ (* 2 (pow y 2)) (pow x 2))>
#<alt (+ (* 2 (pow y 2)) (pow x 2))>
#<alt (+ (* 2 (pow y 2)) (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* 2 (pow y 2)) (pow x 2))>
#<alt (+ (* 2 (pow y 2)) (pow x 2))>
#<alt (+ (* 2 (pow y 2)) (pow x 2))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))>
#<alt (+ (* 2 (pow y 2)) (pow y 2))>
#<alt (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))>
#<alt (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))>
#<alt (+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* 3 (pow y 2)) (pow x 2))>
#<alt (+ (* 3 (pow y 2)) (pow x 2))>
#<alt (+ (* 3 (pow y 2)) (pow x 2))>
#<alt (* 3 (pow y 2))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* 3 (pow y 2))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (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 x 2)>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (* 2 (pow y 2)) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 2 (pow y 2)) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 2 (pow y 2)) (pow x 2)))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 4) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 4) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 4) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 4) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 4)>
#<alt (+ (* 2 (* (pow x 2) (pow y 2))) (pow x 4))>
#<alt (+ (* 2 (* (pow x 2) (pow y 2))) (pow x 4))>
#<alt (+ (* 2 (* (pow x 2) (pow y 2))) (pow x 4))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (+ (* 2 (pow x 2)) (/ (pow x 4) (pow y 2))))>
#<alt (* (pow y 2) (+ (* 2 (pow x 2)) (/ (pow x 4) (pow y 2))))>
#<alt (* (pow y 2) (+ (* 2 (pow x 2)) (/ (pow x 4) (pow y 2))))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (+ (* 2 (pow x 2)) (/ (pow x 4) (pow y 2))))>
#<alt (* (pow y 2) (+ (* 2 (pow x 2)) (/ (pow x 4) (pow y 2))))>
#<alt (* (pow y 2) (+ (* 2 (pow x 2)) (/ (pow x 4) (pow y 2))))>
Calls

63 calls:

TimeVariablePointExpression
4.0ms
y
@0
(/ 1 (+ (* x x) (* y (+ y y))))
0.0ms
x
@-inf
(/ 1 (+ (* x x) (* y (+ y y))))
0.0ms
y
@inf
(/ 1 (+ (* x x) (* y (+ y y))))
0.0ms
x
@0
(/ 1 (+ (* x x) (* y (+ y y))))
0.0ms
x
@inf
(/ 1 (+ (* x x) (* y (+ y y))))

rewrite452.0ms (5.1%)

Memory
23.7MiB live, 896.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 226×accelerator-lowering-fma.f32
8 226×accelerator-lowering-fma.f64
3 118×*-lowering-*.f32
3 118×*-lowering-*.f64
1 748×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02185
115259
2179759
0945255
Stop Event
1×iter limit
1×node limit
Counts
13 → 1 560
Calls
Call 1
Inputs
(+ (* x x) (* 3 (* y y)))
(* 3 (* y y))
(* y y)
(* x x)
(+ (* x x) (* y y))
(/ 1 (/ 1 (+ (* x x) (* y (+ y y)))))
(+ (/ 1 (/ 1 (+ (* x x) (* y (+ y y))))) (* y y))
(/ 1 (+ (* x x) (* y (+ y y))))
(+ (* x x) (* y (+ y y)))
(+ (* (/ 1 (+ (* x x) 0)) (* (+ (* x x) (* y (+ y y))) (+ (* x x) 0))) (* y y))
(/ 1 (+ (* x x) 0))
(+ (* x x) 0)
(* (+ (* x x) (* y (+ y y))) (+ (* x x) 0))
Outputs
(+.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal 3 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(+.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+.f64 (fma.f64 x x (fma.f64 #s(literal 3 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x x (fma.f64 #s(literal 3 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y y (fma.f64 #s(literal 3 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 #s(literal 3 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x (fma.f64 #s(literal 3 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (neg.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64)) (fma.f64 x x (fma.f64 #s(literal 3 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))))
(+.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (+.f64 x y) (-.f64 x y) (fma.f64 #s(literal 3 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (fma.f64 #s(literal 3 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))
(+.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
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(*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) x)) x)

simplify441.0ms (5%)

Memory
-2.2MiB live, 900.3MiB allocated
Algorithm
1×egg-herbie
Rules
12 884×accelerator-lowering-fma.f32
12 884×accelerator-lowering-fma.f64
5 032×*-lowering-*.f32
5 032×*-lowering-*.f64
1 894×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332052
13602052
29572052
337562052
464652052
084971890
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (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)
(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 x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(/ 1/2 (pow y 2))
(+ (* -1/4 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))
(+ (* (pow x 2) (- (* 1/8 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 8))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))
(/ 1 (pow x 2))
(/ (+ 1 (* -2 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (* 4 (/ (pow y 4) (pow x 4)))) (* 2 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (* -8 (/ (pow y 6) (pow x 6)))) (+ (* -4 (/ (pow y 4) (pow x 4))) (* 2 (/ (pow y 2) (pow x 2))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* -2 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (* 4 (/ (pow y 4) (pow x 4)))) (* 2 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/ (- (+ 1 (* -8 (/ (pow y 6) (pow x 6)))) (+ (* -4 (/ (pow y 4) (pow x 4))) (* 2 (/ (pow y 2) (pow x 2))))) (pow x 2))
(/ 1 (pow x 2))
(+ (* -2 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))
(+ (* (pow y 2) (- (* 4 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -8 (/ (pow y 2) (pow x 8))) (* 4 (/ 1 (pow x 6))))) (* 2 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))
(/ 1/2 (pow y 2))
(/ (+ 1/2 (* -1/4 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/ (- (+ 1/2 (* 1/8 (/ (pow x 4) (pow y 4)))) (* 1/4 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/ (- (+ 1/2 (* -1/16 (/ (pow x 6) (pow y 6)))) (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2))))) (pow y 2))
(/ 1/2 (pow y 2))
(/ (+ 1/2 (* -1/4 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/ (- (+ 1/2 (* 1/8 (/ (pow x 4) (pow y 4)))) (* 1/4 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/ (- (+ 1/2 (* -1/16 (/ (pow x 6) (pow y 6)))) (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2))))) (pow y 2))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (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 x 2)
(* 2 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* 2 (pow y 2)) (pow x 2)))
(* (pow x 2) (+ (* 2 (pow y 2)) (pow x 2)))
(* (pow x 2) (+ (* 2 (pow y 2)) (pow x 2)))
(pow x 4)
(* (pow x 4) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 4) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 4) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 4)
(* (pow x 4) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 4) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 4) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 4)
(+ (* 2 (* (pow x 2) (pow y 2))) (pow x 4))
(+ (* 2 (* (pow x 2) (pow y 2))) (pow x 4))
(+ (* 2 (* (pow x 2) (pow y 2))) (pow x 4))
(* 2 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* 2 (pow x 2)) (/ (pow x 4) (pow y 2))))
(* (pow y 2) (+ (* 2 (pow x 2)) (/ (pow x 4) (pow y 2))))
(* (pow y 2) (+ (* 2 (pow x 2)) (/ (pow x 4) (pow y 2))))
(* 2 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* 2 (pow x 2)) (/ (pow x 4) (pow y 2))))
(* (pow y 2) (+ (* 2 (pow x 2)) (/ (pow x 4) (pow y 2))))
(* (pow y 2) (+ (* 2 (pow x 2)) (/ (pow x 4) (pow y 2))))
Outputs
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(+ (* -1/4 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))
(/.f64 (fma.f64 x (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 y y))
(+ (* (pow x 2) (- (* 1/8 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))
(fma.f64 x (*.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 x x)) (/.f64 (fma.f64 x (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 y y)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 8))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))
(fma.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 x (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 y y)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -2 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 y (*.f64 (/.f64 y (*.f64 x x)) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(/ (- (+ 1 (* 4 (/ (pow y 4) (pow x 4)))) (* 2 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 y (*.f64 (/.f64 y (*.f64 x x)) #s(literal -2 binary64)) (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (*.f64 x x))
(/ (- (+ 1 (* -8 (/ (pow y 6) (pow x 6)))) (+ (* -4 (/ (pow y 4) (pow x 4))) (* 2 (/ (pow y 2) (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 (/.f64 y (*.f64 x x)) #s(literal -2 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -2 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 y (*.f64 (/.f64 y (*.f64 x x)) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(/ (- (+ 1 (* 4 (/ (pow y 4) (pow x 4)))) (* 2 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 y (*.f64 (/.f64 y (*.f64 x x)) #s(literal -2 binary64)) (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (*.f64 x x))
(/ (- (+ 1 (* -8 (/ (pow y 6) (pow x 6)))) (+ (* -4 (/ (pow y 4) (pow x 4))) (* 2 (/ (pow y 2) (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 (/.f64 y (*.f64 x x)) #s(literal -2 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(+ (* -2 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))
(/.f64 (fma.f64 y (*.f64 (/.f64 y (*.f64 x x)) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(+ (* (pow y 2) (- (* 4 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 0 binary64)) (/.f64 (fma.f64 y (*.f64 (/.f64 y (*.f64 x x)) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -8 (/ (pow y 2) (pow x 8))) (* 4 (/ 1 (pow x 6))))) (* 2 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))))) #s(literal 0 binary64)) (/.f64 (fma.f64 y (*.f64 (/.f64 y (*.f64 x x)) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ (+ 1/2 (* -1/4 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 x (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 y y))
(/ (- (+ 1/2 (* 1/8 (/ (pow x 4) (pow y 4)))) (* 1/4 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) (*.f64 y y))
(/ (- (+ 1/2 (* -1/16 (/ (pow x 6) (pow y 6)))) (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2))))) (pow y 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ (+ 1/2 (* -1/4 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 x (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 y y))
(/ (- (+ 1/2 (* 1/8 (/ (pow x 4) (pow y 4)))) (* 1/4 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) (*.f64 y y))
(/ (- (+ 1/2 (* -1/16 (/ (pow x 6) (pow y 6)))) (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2))))) (pow y 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) (*.f64 y y))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 x x))))
(* (pow x 2) (+ (* 2 (pow y 2)) (pow x 2)))
(*.f64 x (*.f64 x (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(* (pow x 2) (+ (* 2 (pow y 2)) (pow x 2)))
(*.f64 x (*.f64 x (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(* (pow x 2) (+ (* 2 (pow y 2)) (pow x 2)))
(*.f64 x (*.f64 x (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(* (pow x 4) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(* (pow x 4) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(* (pow x 4) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(* (pow x 4) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(+ (* 2 (* (pow x 2) (pow y 2))) (pow x 4))
(*.f64 x (*.f64 x (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(+ (* 2 (* (pow x 2) (pow y 2))) (pow x 4))
(*.f64 x (*.f64 x (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(+ (* 2 (* (pow x 2) (pow y 2))) (pow x 4))
(*.f64 x (*.f64 x (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 x x))))
(* (pow y 2) (+ (* 2 (pow x 2)) (/ (pow x 4) (pow y 2))))
(*.f64 x (*.f64 x (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(* (pow y 2) (+ (* 2 (pow x 2)) (/ (pow x 4) (pow y 2))))
(*.f64 x (*.f64 x (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(* (pow y 2) (+ (* 2 (pow x 2)) (/ (pow x 4) (pow y 2))))
(*.f64 x (*.f64 x (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 x x))))
(* (pow y 2) (+ (* 2 (pow x 2)) (/ (pow x 4) (pow y 2))))
(*.f64 x (*.f64 x (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(* (pow y 2) (+ (* 2 (pow x 2)) (/ (pow x 4) (pow y 2))))
(*.f64 x (*.f64 x (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(* (pow y 2) (+ (* 2 (pow x 2)) (/ (pow x 4) (pow y 2))))
(*.f64 x (*.f64 x (fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 x x))))

eval279.0ms (3.2%)

Memory
29.5MiB live, 564.7MiB allocated
Compiler

Compiled 68 143 to 3 247 computations (95.2% saved)

prune305.0ms (3.4%)

Memory
4.6MiB live, 534.5MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2 35262 358
Fresh213
Picked415
Done000
Total2 35882 366
Accuracy
100.0%
Counts
2 366 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.2%
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 x x)))) (*.f64 y y))
▶83.0%
(fma.f64 y y (*.f64 x x))
▶99.9%
(fma.f64 x x (*.f64 (*.f64 #s(literal 3 binary64) y) y))
54.9%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 y y))
▶54.9%
(*.f64 y (*.f64 y #s(literal 3 binary64)))
▶38.6%
(*.f64 y y)
✓62.1%
(*.f64 x x)
▶54.9%
(*.f64 #s(literal 3 binary64) (*.f64 y y))
Compiler

Compiled 147 to 91 computations (38.1% saved)

simplify5.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 y y (*.f64 x x))
✓cost-diff0
(*.f64 y #s(literal 3 binary64))
✓cost-diff0
(*.f64 y (*.f64 y #s(literal 3 binary64)))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 y y))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(*.f64 #s(literal 3 binary64) y)
✓cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
✓cost-diff0
(fma.f64 x x (*.f64 (*.f64 #s(literal 3 binary64) y) y))
Rules
16×*-lowering-*.f32
16×*-lowering-*.f64
14×accelerator-lowering-fma.f32
14×accelerator-lowering-fma.f64
8×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01256
11756
01754
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* x x) (* (* 3 y) y))
x
(* (* 3 y) y)
(* 3 y)
3
y
(* y y)
y
(* 3 (* y y))
3
(* y y)
y
(* y (* y 3))
y
(* y 3)
3
(+ (* y y) (* x x))
y
(* x x)
x
Outputs
(+ (* x x) (* (* 3 y) y))
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
x
(* (* 3 y) y)
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
3
#s(literal 3 binary64)
y
(* y y)
(*.f64 y y)
y
(* 3 (* y y))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
3
#s(literal 3 binary64)
(* y y)
(*.f64 y y)
y
(* y (* y 3))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
y
(* y 3)
(*.f64 #s(literal 3 binary64) y)
3
#s(literal 3 binary64)
(+ (* y y) (* x x))
(fma.f64 x x (*.f64 y y))
y
(* x x)
(*.f64 x x)
x

localize129.0ms (1.5%)

Memory
-9.4MiB live, 69.0MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 y y (*.f64 x x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 y #s(literal 3 binary64))
✓accuracy99.8%
(*.f64 y (*.f64 y #s(literal 3 binary64)))
✓accuracy100.0%
(*.f64 y y)
✓accuracy99.8%
(*.f64 #s(literal 3 binary64) (*.f64 y y))
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(fma.f64 x x (*.f64 (*.f64 #s(literal 3 binary64) y) y))
✓accuracy100.0%
(*.f64 #s(literal 3 binary64) y)
✓accuracy99.8%
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
Samples
73.0ms256×0valid
Compiler

Compiled 56 to 14 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-add: 53.0ms (83.2% of total)
ival-mult: 10.0ms (15.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
9 → 132
Calls
Call 1
Inputs
#<alt (+ (* x x) (* (* 3 y) y))>
#<alt (* (* 3 y) y)>
#<alt (* 3 y)>
#<alt (* y y)>
#<alt (* 3 (* y y))>
#<alt (* y (* y 3))>
#<alt (* y 3)>
#<alt (+ (* y y) (* x x))>
#<alt (* x x)>
Outputs
#<alt (* 3 (pow y 2))>
#<alt (+ (* 3 (pow y 2)) (pow x 2))>
#<alt (+ (* 3 (pow y 2)) (pow x 2))>
#<alt (+ (* 3 (pow y 2)) (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* 3 (pow y 2)) (pow x 2))>
#<alt (+ (* 3 (pow y 2)) (pow x 2))>
#<alt (+ (* 3 (pow y 2)) (pow x 2))>
#<alt (* 3 (pow y 2))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* 3 (pow y 2))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<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 (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (pow x 2)>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (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 x 2)>
Calls

33 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(* 3 y)
0.0ms
y
@0
(* 3 y)
0.0ms
y
@inf
(* 3 y)
0.0ms
x
@0
(+ (* x x) (* (* 3 y) y))
0.0ms
y
@inf
(+ (* x x) (* (* 3 y) y))

rewrite622.0ms (7%)

Memory
-18.3MiB live, 445.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 440×accelerator-lowering-fma.f32
6 440×accelerator-lowering-fma.f64
4 844×*-lowering-*.f32
4 844×*-lowering-*.f64
2 926×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01243
14243
234143
3346343
0897541
Stop Event
1×iter limit
1×node limit
Counts
9 → 286
Calls
Call 1
Inputs
(+ (* x x) (* (* 3 y) y))
(* (* 3 y) y)
(* 3 y)
(* y y)
(* 3 (* y y))
(* y (* y 3))
(* y 3)
(+ (* y y) (* x x))
(* x x)
Outputs
(+.f64 (*.f64 x x) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) (*.f64 x x))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 9 binary64)))) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64)))) (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 9 binary64)))) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64)))))
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 9 binary64)))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) (*.f64 x x))))
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 9 binary64)))) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64))))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 9 binary64)))) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64))))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 y (*.f64 #s(literal 3 binary64) y) (*.f64 x x))
(fma.f64 y (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 y (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))
(fma.f64 (*.f64 y y) (exp.f64 (log.f64 #s(literal 3 binary64))) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 9 binary64)))) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64))))))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 9 binary64)))) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -9 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 9 binary64)))) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -27 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) (fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 9 binary64)))) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64))))))
(fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) y (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) y (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (*.f64 y y) (*.f64 x x))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 27 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64))) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 9 binary64))))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 27 binary64))))) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64))) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 9 binary64)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -9 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 27 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64))) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 9 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 27 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64))) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 9 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -9 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y (*.f64 y y)))) #s(literal 19683 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64))) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 9 binary64))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 27 binary64))) (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 27 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 9 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))))))
(/.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 9 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 27 binary64)))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -27 binary64)))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64))) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 9 binary64))))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -27 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 27 binary64)))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -27 binary64)))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 9 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 9 binary64)))))))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 9 binary64))))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -9 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -3 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 9 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y))))))
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(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 y x)))))
(*.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (*.f64 y y) (*.f64 y y)))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) (+.f64 x y))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 (-.f64 y x) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y y)))))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y)))))) (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y)))))
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)))
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(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))
(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 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)

simplify677.0ms (7.6%)

Memory
-38.2MiB live, 409.6MiB allocated
Algorithm
1×egg-herbie
Rules
9 374×accelerator-lowering-fma.f32
9 374×accelerator-lowering-fma.f64
7 840×*-lowering-*.f32
7 840×*-lowering-*.f64
1 788×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022654
159654
2147654
3594654
41928654
52354654
63252654
74514654
85993654
08136618
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(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)
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(pow y 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(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)
Outputs
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(pow x 2)
(*.f64 x x)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval77.0ms (0.9%)

Memory
27.7MiB live, 64.8MiB allocated
Compiler

Compiled 14 065 to 773 computations (94.5% saved)

prune56.0ms (0.6%)

Memory
-13.4MiB live, 62.1MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New4360436
Fresh022
Picked055
Done011
Total4368444
Accuracy
100.0%
Counts
444 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶23.2%
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 x x)))) (*.f64 y y))
✓83.0%
(fma.f64 y y (*.f64 x x))
✓99.9%
(fma.f64 x x (*.f64 (*.f64 #s(literal 3 binary64) y) y))
▶54.9%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 y y))
✓54.9%
(*.f64 y (*.f64 y #s(literal 3 binary64)))
✓38.6%
(*.f64 y y)
✓62.1%
(*.f64 x x)
✓54.9%
(*.f64 #s(literal 3 binary64) (*.f64 y y))
Compiler

Compiled 76 to 47 computations (38.2% saved)

simplify729.0ms (8.2%)

Memory
2.6MiB live, 793.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 x x))))
✓cost-diff0
(fma.f64 x x #s(literal 0 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
✓cost-diff2624
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 x x)))) (*.f64 y y))
✓cost-diff-64
(*.f64 y y)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
✓cost-diff576
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 y y))
✓cost-diff1024
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
Rules
23 114×accelerator-lowering-fma.f32
23 114×accelerator-lowering-fma.f64
3 700×/-lowering-/.f32
3 700×/-lowering-/.f64
3 406×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01874
14266
213166
355766
4160966
5278266
6329166
7348866
8353866
9361966
10373366
11775666
0815966
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (/ 1 (/ 1/2 (* y y))) (* y y))
(/ 1 (/ 1/2 (* y y)))
1
(/ 1/2 (* y y))
1/2
(* y y)
y
(+ (* (/ 1 (+ (* x x) 0)) (* y (* 2 (* y (* x x))))) (* y y))
(/ 1 (+ (* x x) 0))
1
(+ (* x x) 0)
x
0
(* y (* 2 (* y (* x x))))
y
(* 2 (* y (* x x)))
2
(* y (* x x))
(* x x)
(* y y)
Outputs
(+ (/ 1 (/ 1/2 (* y y))) (* y y))
(fma.f64 y (fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(/ 1 (/ 1/2 (* y y)))
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(/ 1/2 (* y y))
(/.f64 #s(literal 1/2 binary64) (fma.f64 y y #s(literal 0 binary64)))
1/2
#s(literal 1/2 binary64)
(* y y)
(fma.f64 y y #s(literal 0 binary64))
y
(+ (* (/ 1 (+ (* x x) 0)) (* y (* 2 (* y (* x x))))) (* y y))
(fma.f64 y (fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(/ 1 (+ (* x x) 0))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(* y (* 2 (* y (* x x))))
(fma.f64 y (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
y
(* 2 (* y (* x x)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
2
#s(literal 2 binary64)
(* y (* x x))
(fma.f64 y (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(* y y)
(fma.f64 y y #s(literal 0 binary64))

localize52.0ms (0.6%)

Memory
20.4MiB live, 99.2MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
✓accuracy93.7%
(*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 x x))))
✓accuracy88.0%
(*.f64 y (*.f64 x x))
✓accuracy61.5%
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 x x)))) (*.f64 y y))
✓accuracy100.0%
(*.f64 y y)
✓accuracy99.8%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 y y))
✓accuracy99.6%
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
Samples
33.0ms256×0valid
Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 8.0ms (40.3% of total)
ival-mult: 8.0ms (40.3% of total)
ival-add: 3.0ms (15.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-22.6MiB live, 15.0MiB allocated
Counts
9 → 144
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1/2 (* y y)))>
#<alt (+ (/ 1 (/ 1/2 (* y y))) (* y y))>
#<alt (/ 1/2 (* y y))>
#<alt (* y y)>
#<alt (+ (* (/ 1 (+ (* x x) 0)) (* y (* 2 (* y (* x x))))) (* y y))>
#<alt (/ 1 (+ (* x x) 0))>
#<alt (+ (* x x) 0)>
#<alt (* y (* 2 (* y (* x x))))>
#<alt (* y (* x x))>
Outputs
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (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 (pow y 2)) (pow y 2))>
#<alt (+ (* 2 (pow y 2)) (pow y 2))>
#<alt (+ (* 2 (pow y 2)) (pow y 2))>
#<alt (+ (* 2 (pow y 2)) (pow y 2))>
#<alt (+ (* 2 (pow y 2)) (pow y 2))>
#<alt (+ (* 2 (pow y 2)) (pow y 2))>
#<alt (+ (* 2 (pow y 2)) (pow y 2))>
#<alt (+ (* 2 (pow y 2)) (pow y 2))>
#<alt (+ (* 2 (pow y 2)) (pow y 2))>
#<alt (+ (* 2 (pow y 2)) (pow y 2))>
#<alt (+ (* 2 (pow y 2)) (pow y 2))>
#<alt (+ (* 2 (pow y 2)) (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (* 3 (pow y 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (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 x 2)>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* 2 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
Calls

36 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+ (* (/ 1 (+ (* x x) 0)) (* y (* 2 (* y (* x x))))) (* y y))
0.0ms
y
@0
(* y (* 2 (* y (* x x))))
0.0ms
x
@inf
(* y (* 2 (* y (* x x))))
0.0ms
y
@inf
(* y (* 2 (* y (* x x))))
0.0ms
y
@inf
(/ 1 (/ 1/2 (* y y)))

rewrite560.0ms (6.3%)

Memory
2.9MiB live, 971.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
11 860×accelerator-lowering-fma.f32
11 860×accelerator-lowering-fma.f64
6 170×*-lowering-*.f32
6 170×*-lowering-*.f64
2 982×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01863
110455
285553
0846752
Stop Event
1×iter limit
1×node limit
Counts
9 → 946
Calls
Call 1
Inputs
(/ 1 (/ 1/2 (* y y)))
(+ (/ 1 (/ 1/2 (* y y))) (* y y))
(/ 1/2 (* y y))
(* y y)
(+ (* (/ 1 (+ (* x x) 0)) (* y (* 2 (* y (* x x))))) (* y y))
(/ 1 (+ (* x x) 0))
(+ (* x x) 0)
(* y (* 2 (* y (* x x))))
(* y (* x x))
Outputs
(exp.f64 (log.f64 (*.f64 y (*.f64 y #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal -2 binary64)))
(neg.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)))
(neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 y (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 y y) #s(literal 1/2 binary64))
(/.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -1/2 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 (*.f64 (*.f64 y y) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 y (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 2 binary64))))
(*.f64 y (*.f64 y #s(literal 2 binary64)))
(*.f64 y (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -2 binary64))
(*.f64 (*.f64 y #s(literal 2 binary64)) y)
(*.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 #s(literal 0 binary64) y))
(*.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) y)) y)
(+.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) (*.f64 y y))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 y (*.f64 y y))) (*.f64 y y)) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y))))
(-.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 y (*.f64 y y))) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)))
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (-.f64 y (*.f64 y #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 y (*.f64 y y))) (*.f64 y (-.f64 y (*.f64 y #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) (*.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 2 binary64))) (*.f64 y y))
(fma.f64 y y (*.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 y (*.f64 y #s(literal 2 binary64)) (*.f64 y y))
(fma.f64 y (neg.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 y (fma.f64 y #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 y (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 y (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 y y))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 y y))
(fma.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 y y))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 y y))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) #s(literal -2 binary64)) (*.f64 y y))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -2 binary64) (*.f64 y y))
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y))))
(fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 y y))
(fma.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y y))
(fma.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y #s(literal 1 binary64)) (*.f64 y y))
(fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y y))
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (*.f64 y y))
(fma.f64 #s(literal -2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y y))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y) (*.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) (*.f64 y y)))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) (*.f64 y y))))) (*.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 y y))) (*.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 (pow.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/2 binary64)) (*.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) y (*.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 3 binary64)) (/.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -2 binary64)))))) (*.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) (*.f64 y y)))) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) y) (-.f64 (pow.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) y) (*.f64 y (*.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (*.f64 y (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 y y))
(fma.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 #s(literal 0 binary64) y) (*.f64 y y))
(fma.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) y)) y (*.f64 y y))
(neg.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 5 binary64) (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -2 binary64)))))))
(neg.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (fma.f64 #s(literal 5 binary64) (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -2 binary64))))))
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 y y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) (*.f64 y y))) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 y (*.f64 y #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) (*.f64 y (-.f64 y (*.f64 y #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 y y)))))
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (fma.f64 #s(literal 5 binary64) (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -2 binary64)))))
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 5 binary64) (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) (*.f64 y y))) (*.f64 y y))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) (*.f64 y (-.f64 y (*.f64 y #s(literal 2 binary64))))) (*.f64 y (-.f64 y (*.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 y (*.f64 y y))) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 5 binary64) (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 y y))
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(*.f64 (/.f64 y (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 y (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 y x))
(*.f64 (/.f64 y (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))

simplify23.0ms (0.3%)

Memory
28.7MiB live, 67.1MiB allocated
Algorithm
1×egg-herbie
Rules
158×*-lowering-*.f32
158×*-lowering-*.f64
98×associate-*r*
62×associate-*l*
44×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016768
129768
262768
3129768
4161768
0161768
Stop Event
1×iter limit
1×saturated
Counts
144 → 144
Calls
Call 1
Inputs
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (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 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (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 x 2)
(* 2 (* (pow x 2) (pow y 2)))
(* 2 (* (pow x 2) (pow y 2)))
(* 2 (* (pow x 2) (pow y 2)))
(* 2 (* (pow x 2) (pow y 2)))
(* 2 (* (pow x 2) (pow y 2)))
(* 2 (* (pow x 2) (pow y 2)))
(* 2 (* (pow x 2) (pow y 2)))
(* 2 (* (pow x 2) (pow y 2)))
(* 2 (* (pow x 2) (pow y 2)))
(* 2 (* (pow x 2) (pow y 2)))
(* 2 (* (pow x 2) (pow y 2)))
(* 2 (* (pow x 2) (pow y 2)))
(* 2 (* (pow x 2) (pow y 2)))
(* 2 (* (pow x 2) (pow y 2)))
(* 2 (* (pow x 2) (pow y 2)))
(* 2 (* (pow x 2) (pow y 2)))
(* 2 (* (pow x 2) (pow y 2)))
(* 2 (* (pow x 2) (pow y 2)))
(* 2 (* (pow x 2) (pow y 2)))
(* 2 (* (pow x 2) (pow y 2)))
(* 2 (* (pow x 2) (pow y 2)))
(* 2 (* (pow x 2) (pow y 2)))
(* 2 (* (pow x 2) (pow y 2)))
(* 2 (* (pow x 2) (pow y 2)))
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
Outputs
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ 1/2 (pow y 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* 2 (* (pow x 2) (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 y y) x)))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* (pow x 2) y)
(*.f64 y (*.f64 x x))

eval159.0ms (1.8%)

Memory
-5.3MiB live, 408.8MiB allocated
Compiler

Compiled 37 732 to 2 721 computations (92.8% saved)

prune195.0ms (2.2%)

Memory
20.4MiB live, 433.4MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New1 23311 234
Fresh000
Picked112
Done066
Total1 23481 242
Accuracy
100.0%
Counts
1 242 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓83.0%
(fma.f64 y y (*.f64 x x))
✓99.9%
(fma.f64 x x (*.f64 (*.f64 #s(literal 3 binary64) y) y))
55.0%
(+.f64 (/.f64 y (/.f64 #s(literal 1/2 binary64) y)) (*.f64 y y))
✓54.9%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 y y))
✓54.9%
(*.f64 y (*.f64 y #s(literal 3 binary64)))
✓38.6%
(*.f64 y y)
✓62.1%
(*.f64 x x)
✓54.9%
(*.f64 #s(literal 3 binary64) (*.f64 y y))
Compiler

Compiled 236 to 84 computations (64.4% saved)

regimes33.0ms (0.4%)

Memory
-10.1MiB live, 68.4MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 x x)
(*.f64 y y)
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 y (*.f64 y #s(literal 3 binary64)))
(fma.f64 y y (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 x x (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(fma.f64 y (*.f64 y #s(literal 3 binary64)) (*.f64 x x))
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(+.f64 (/.f64 y (/.f64 #s(literal 1/2 binary64) y)) (*.f64 y y))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 y y))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 y y))))) (*.f64 y y))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 x x)))) (*.f64 y y))
(+.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 y y))) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y y))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 y y))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y y))
Outputs
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Calls

5 calls:

12.0ms
(*.f64 y y)
6.0ms
y
5.0ms
x
5.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
4.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
99.9%1(*.f64 x x)
99.9%1(*.f64 y y)
Compiler

Compiled 33 to 17 computations (48.5% saved)

regimes14.0ms (0.2%)

Memory
-7.1MiB live, 31.4MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 x x)
(*.f64 y y)
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 y (*.f64 y #s(literal 3 binary64)))
(fma.f64 y y (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 y y))
Outputs
(*.f64 y (*.f64 y #s(literal 3 binary64)))
(fma.f64 y y (*.f64 x x))
Calls

5 calls:

3.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
3.0ms
y
3.0ms
x
2.0ms
(*.f64 x x)
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
91.7%2x
86.6%2y
83.0%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
91.7%2(*.f64 x x)
86.6%2(*.f64 y y)
Compiler

Compiled 33 to 17 computations (48.5% saved)

regimes8.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 x x)
(*.f64 y y)
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 y (*.f64 y #s(literal 3 binary64)))
Outputs
(*.f64 x x)
(*.f64 #s(literal 3 binary64) (*.f64 y y))
Calls

4 calls:

2.0ms
x
2.0ms
y
2.0ms
(*.f64 x x)
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
85.9%2y
85.9%2(*.f64 y y)
81.3%2x
81.3%2(*.f64 x x)
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes10.0ms (0.1%)

Memory
-13.5MiB live, 26.5MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 x x)
(*.f64 y y)
Outputs
(*.f64 x x)
(*.f64 y y)
Calls

5 calls:

3.0ms
(*.f64 y y)
2.0ms
x
2.0ms
y
1.0ms
(*.f64 x x)
1.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Results
AccuracySegmentsBranch
71.3%2x
71.3%2(*.f64 x x)
62.1%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
80.3%2y
80.3%2(*.f64 y y)
Compiler

Compiled 33 to 17 computations (48.5% saved)

regimes9.0ms (0.1%)

Memory
-18.6MiB live, 17.6MiB 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

5 calls:

1.0ms
x
1.0ms
y
1.0ms
(*.f64 x x)
1.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
62.1%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
62.1%1x
62.1%1(*.f64 x x)
62.1%1y
62.1%1(*.f64 y y)
Compiler

Compiled 33 to 17 computations (48.5% saved)

bsearch9.0ms (0.1%)

Memory
23.2MiB live, 23.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
8.0ms
1.2312385779868117e-281
5.073334723995354e-280
Samples
5.0ms112×0valid
Compiler

Compiled 125 to 82 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add: 1.0ms (43.1% of total)
ival-mult: 1.0ms (43.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.082112644175614e-8
4.260844866450168
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch12.0ms (0.1%)

Memory
-10.1MiB live, 28.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.8525523384134705e+300
+inf
Samples
7.0ms144×0valid
Compiler

Compiled 106 to 75 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 2.0ms (64.3% of total)
ival-mult: 1.0ms (32.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Memory
25.9MiB live, 25.9MiB allocated
Algorithm
1×egg-herbie
Rules
6×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01954
12254
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(if (<=.f64 (*.f64 x x) #s(literal 5722473335497949/81749619078542123485445026325988907666122803627436340899944335050228199090952768134551878266578358316619466622738124605193111060004601596343876476857746694976307432364076469310158345070361107955001481492256519126766829996241750851128887511795631888691491672345630967465671003964634890646646161408 binary64)) (*.f64 y (*.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 x x)))
(if (<=.f64 (*.f64 y y) #s(literal 944473296573929/18889465931478580854784 binary64)) (*.f64 x x) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(if (<=.f64 (*.f64 y y) #s(literal 86000000000000000545031410224935203565548843715120474636166935209624015147714434234518084547712619296201081617433068145557478275180601427167856430231686867439059271815556119315698706551429025473763466352029303576916460609634348054093996337352394336207823160658125765489126769113007562686286702669201189896192 binary64)) (*.f64 x x) (*.f64 y y))
(*.f64 x x)
Outputs
(fma.f64 x x (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(if (<=.f64 (*.f64 x x) #s(literal 5722473335497949/81749619078542123485445026325988907666122803627436340899944335050228199090952768134551878266578358316619466622738124605193111060004601596343876476857746694976307432364076469310158345070361107955001481492256519126766829996241750851128887511795631888691491672345630967465671003964634890646646161408 binary64)) (*.f64 y (*.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 x x)))
(if (<=.f64 (*.f64 x x) #s(literal 5722473335497949/81749619078542123485445026325988907666122803627436340899944335050228199090952768134551878266578358316619466622738124605193111060004601596343876476857746694976307432364076469310158345070361107955001481492256519126766829996241750851128887511795631888691491672345630967465671003964634890646646161408 binary64)) (*.f64 y (*.f64 #s(literal 3 binary64) y)) (fma.f64 y y (*.f64 x x)))
(if (<=.f64 (*.f64 y y) #s(literal 944473296573929/18889465931478580854784 binary64)) (*.f64 x x) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(if (<=.f64 (*.f64 y y) #s(literal 86000000000000000545031410224935203565548843715120474636166935209624015147714434234518084547712619296201081617433068145557478275180601427167856430231686867439059271815556119315698706551429025473763466352029303576916460609634348054093996337352394336207823160658125765489126769113007562686286702669201189896192 binary64)) (*.f64 x x) (*.f64 y y))
(*.f64 x x)

soundness680.0ms (7.7%)

Memory
-30.9MiB live, 493.0MiB allocated
Rules
12 884×accelerator-lowering-fma.f32
12 884×accelerator-lowering-fma.f64
10 540×accelerator-lowering-fma.f32
10 540×accelerator-lowering-fma.f64
9 354×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0736
14932
251226
3757426
0818123
030624
186552
2215552
3851552
42011552
52650552
64169552
75649552
86638552
97914552
08035498
01332052
13602052
29572052
337562052
464652052
084971890
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 136 to 67 computations (50.7% saved)

preprocess143.0ms (1.6%)

Memory
28.7MiB live, 148.7MiB allocated
Remove

(abs y)

(abs x)

Compiler

Compiled 212 to 90 computations (57.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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