Linear.Matrix:fromQuaternion from linear-1.19.1.3, B

Time bar (total: 7.3s)

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 11 to 9 computations (18.2% saved)

sample722.0ms (9.8%)

Memory
-11.0MiB live, 986.2MiB allocated
Samples
431.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 244.0ms
ival-mult: 191.0ms (78.2% of total)
ival-add: 41.0ms (16.8% of total)
ival-true: 5.0ms (2% of total)
exact: 4.0ms (1.6% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

preprocess50.0ms (0.7%)

Memory
12.3MiB live, 50.5MiB allocated
Algorithm
2×egg-herbie
Rules
286×unsub-neg
236×distribute-lft-neg-in
208×distribute-lft-in
200×distribute-rgt-in
192×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02246
18242
223942
367442
4115742
5149842
6164842
7168942
8169842
9170042
077
1187
2367
3587
4587
0587
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(* 2 (+ (* x x) (* x y)))
Outputs
(* 2 (+ (* x x) (* x y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
Call 2
Inputs
(* 2 (+ (* x x) (* x y)))
(* 2 (+ (* (neg x) (neg x)) (* (neg x) y)))
(* 2 (+ (* x x) (* x (neg y))))
(neg (* 2 (+ (* (neg x) (neg x)) (* (neg x) y))))
(neg (* 2 (+ (* x x) (* x (neg y)))))
(* 2 (+ (* y y) (* y x)))
Outputs
(* 2 (+ (* x x) (* x y)))
(* 2 (* x (+ x y)))
(* 2 (+ (* (neg x) (neg x)) (* (neg x) y)))
(* x (* 2 (- x y)))
(* 2 (+ (* x x) (* x (neg y))))
(* x (* 2 (- x y)))
(neg (* 2 (+ (* (neg x) (neg x)) (* (neg x) y))))
(* x (* 2 (- y x)))
(neg (* 2 (+ (* x x) (* x (neg y)))))
(* x (* 2 (- y x)))
(* 2 (+ (* y y) (* y x)))
(* y (* 2 (+ x y)))

explain104.0ms (1.4%)

Memory
18.2MiB live, 176.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
110-0-(+.f64 (*.f64 x x) (*.f64 x y))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
00-0-(*.f64 x x)
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 x x) (*.f64 x y))nan-rescue110
↳(*.f64 x x)overflow63
↳(*.f64 x y)overflow35
Confusion
Predicted +Predicted -
+110
-0245
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1100
-00245
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0245
111
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
28.0ms512×0valid
Compiler

Compiled 76 to 32 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 10.0ms (70.1% of total)
ival-add: 3.0ms (21% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶95.7%
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify9.0ms (0.1%)

Memory
-29.3MiB live, 10.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
✓cost-diff320
(+.f64 (*.f64 x x) (*.f64 x y))
Rules
54×*-lowering-*.f32
54×*-lowering-*.f64
34×accelerator-lowering-fma.f32
34×accelerator-lowering-fma.f64
26×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
11821
23621
35821
45821
05821
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* 2 (+ (* x x) (* x y)))
2
(+ (* x x) (* x y))
(* x x)
x
(* x y)
y
Outputs
(* 2 (+ (* x x) (* x y)))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
2
#s(literal 2 binary64)
(+ (* x x) (* x y))
(*.f64 x (+.f64 x y))
(* x x)
(*.f64 x x)
x
(* x y)
(*.f64 x y)
y

localize22.0ms (0.3%)

Memory
12.2MiB live, 48.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
✓accuracy96.3%
(+.f64 (*.f64 x x) (*.f64 x y))
Samples
13.0ms256×0valid
Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (77.1% of total)
ival-add: 1.0ms (15.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#<alt (+ (* x x) (* x y))>
#<alt (* 2 (+ (* x x) (* x y)))>
#<alt (* x x)>
#<alt (* x y)>
Outputs
#<alt (* x y)>
#<alt (* x (+ x y))>
#<alt (* x (+ x y))>
#<alt (* x (+ x y))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ y x)))>
#<alt (* (pow x 2) (+ 1 (/ y x)))>
#<alt (* (pow x 2) (+ 1 (/ y x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ y x)))>
#<alt (* (pow x 2) (+ 1 (/ y x)))>
#<alt (* (pow x 2) (+ 1 (/ y x)))>
#<alt (pow x 2)>
#<alt (+ (* x y) (pow x 2))>
#<alt (+ (* x y) (pow x 2))>
#<alt (+ (* x y) (pow x 2))>
#<alt (* x y)>
#<alt (* y (+ x (/ (pow x 2) y)))>
#<alt (* y (+ x (/ (pow x 2) y)))>
#<alt (* y (+ x (/ (pow x 2) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))>
#<alt (* 2 (* x y))>
#<alt (* x (+ (* 2 x) (* 2 y)))>
#<alt (* x (+ (* 2 x) (* 2 y)))>
#<alt (* x (+ (* 2 x) (* 2 y)))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ y x))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ y x))))>
#<alt (* 2 (pow x 2))>
#<alt (+ (* 2 (* x y)) (* 2 (pow x 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow x 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow x 2)))>
#<alt (* 2 (* x y))>
#<alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))>
#<alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))>
#<alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
Calls

21 calls:

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

rewrite978.0ms (13.3%)

Memory
-177.9MiB live, 870.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 330×accelerator-lowering-fma.f32
9 330×accelerator-lowering-fma.f64
4 536×/-lowering-/.f32
4 536×/-lowering-/.f64
3 968×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0718
13218
224818
3228418
0864918
Stop Event
1×iter limit
1×node limit
Counts
4 → 269
Calls
Call 1
Inputs
(+ (* x x) (* x y))
(* 2 (+ (* x x) (* x y)))
(* x x)
(* x y)
Outputs
(+.f64 (*.f64 x x) (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 x x))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 x y)) (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x y)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 x y)) (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (-.f64 y x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 y x))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x y)) (-.f64 y x)))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x y)) (-.f64 y x)))))
(-.f64 (/.f64 (/.f64 (*.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 x (*.f64 x (*.f64 y y))) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x (-.f64 x y))) (/.f64 (/.f64 (*.f64 (*.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 x (*.f64 x (*.f64 y y))) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x (-.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)))) (*.f64 x (-.f64 x y))) (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)))) (*.f64 x (-.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x y)) (-.f64 y x))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x y)) (-.f64 y x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 x y)))) (/.f64 (*.f64 (+.f64 x y) (*.f64 x (*.f64 x (-.f64 x y)))) (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 x y)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x y)) (-.f64 y x))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) (/.f64 (*.f64 (*.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 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x y)) (-.f64 y x))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (-.f64 x y)) (fma.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (-.f64 x y)) (fma.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (-.f64 x y)) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y))))) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 (*.f64 x (-.f64 x y)) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 x y))) (*.f64 (*.f64 x (-.f64 x y)) (*.f64 x (-.f64 x y)))) (/.f64 (*.f64 (*.f64 x (-.f64 x y)) (*.f64 x (*.f64 x (*.f64 y y)))) (*.f64 (*.f64 x (-.f64 x y)) (*.f64 x (-.f64 x y)))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 x y)) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 x y)))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 x y)) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 x y)) (fma.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y))) (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 x y)) (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y))))))) (/.f64 (*.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y))) (*.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y))) (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y))))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 x y)) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 x y)) (fma.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y))) (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 x y)) (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y))))))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 x y)) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 x y))) (fma.f64 x (/.f64 (*.f64 x x) (-.f64 x y)) (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y))))) (/.f64 (*.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y))) (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))) (fma.f64 x (/.f64 (*.f64 x x) (-.f64 x y)) (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y))))))
(fma.f64 x x (*.f64 x y))
(fma.f64 x y (*.f64 x x))
(fma.f64 x (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (-.f64 x y))) (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 x (pow.f64 y #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 x (exp.f64 (log.f64 y)) (*.f64 x x))
(fma.f64 (*.f64 x x) (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x y))) (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 y x (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x y))) (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x (*.f64 x (-.f64 x y))) (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 x y)) (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x y) (*.f64 x (*.f64 x (-.f64 x y))))) (*.f64 x (+.f64 x y)) (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x y)) (+.f64 x y))) (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) x (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 y)) x (*.f64 x x))
(neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x y)) (-.f64 y x))))))
(neg.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 x (*.f64 x (-.f64 x y)))) (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 x y)))))
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(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (*.f64 x (*.f64 x (-.f64 x y))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 x y)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 x y)) (*.f64 x (-.f64 y x))))) (neg.f64 (*.f64 x (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x y)) (-.f64 y x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (*.f64 x (*.f64 x (-.f64 x y))))) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x (+.f64 x y)) (*.f64 x (-.f64 y x))) #s(literal 2 binary64))) (neg.f64 (*.f64 x (-.f64 y x))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x (+.f64 x y)) (*.f64 (*.f64 x (-.f64 x y)) #s(literal 2 binary64))) x)) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))) #s(literal -1 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 x (fma.f64 x #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x (+.f64 x y)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x y)))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x y)) (-.f64 y x)))) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x y)) (-.f64 y x)))))
(*.f64 (*.f64 (+.f64 x y) (*.f64 x (*.f64 x (-.f64 x y)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x y))) #s(literal 2 binary64)))
(*.f64 (*.f64 (+.f64 x y) (*.f64 x (*.f64 x (-.f64 x y)))) (/.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y))))
(*.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4 binary64)))))
(*.f64 (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 x y)))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y))
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) x)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x y)) (-.f64 y x)))))
(*.f64 (*.f64 (*.f64 x (+.f64 x y)) (*.f64 (*.f64 x (-.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x y))))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (+.f64 x y) (*.f64 x (*.f64 x (-.f64 x y)))) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 x (*.f64 x (-.f64 x y)))) x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x))))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x y)) (-.f64 y x)) (-.f64 (*.f64 (*.f64 x (*.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 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x y)) (-.f64 y x))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x y)) (-.f64 y x))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x y)) (-.f64 y x))))
(*.f64 (/.f64 (*.f64 (*.f64 x (+.f64 x y)) (*.f64 (*.f64 x (-.f64 x y)) #s(literal 2 binary64))) (*.f64 (+.f64 x y) (*.f64 x (*.f64 x (-.f64 x y))))) (*.f64 x (+.f64 x y)))
(*.f64 (/.f64 (*.f64 (*.f64 x (+.f64 x y)) (*.f64 (*.f64 x (-.f64 x y)) #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x y)) (+.f64 x y))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x)))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)) (log.f64 x)))
(/.f64 (*.f64 x (*.f64 x x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(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)
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 x (pow.f64 y #s(literal 1 binary64)))
(*.f64 x (exp.f64 (log.f64 y)))
(*.f64 y x)
(*.f64 (pow.f64 y #s(literal 1 binary64)) x)
(*.f64 (exp.f64 (log.f64 y)) x)

simplify236.0ms (3.2%)

Memory
-17.7MiB live, 345.0MiB allocated
Algorithm
1×egg-herbie
Rules
4 618×accelerator-lowering-fma.f32
4 618×accelerator-lowering-fma.f64
3 418×*-lowering-*.f32
3 418×*-lowering-*.f64
1 342×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040372
1134372
2345372
3756372
41649372
53593372
65824372
77074372
08071372
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(* x y)
(* x (+ x y))
(* x (+ x y))
(* x (+ x y))
(pow x 2)
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(pow x 2)
(+ (* x y) (pow x 2))
(+ (* x y) (pow x 2))
(+ (* x y) (pow x 2))
(* x y)
(* y (+ x (/ (pow x 2) y)))
(* y (+ x (/ (pow x 2) y)))
(* y (+ x (/ (pow x 2) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(* 2 (* x y))
(* x (+ (* 2 x) (* 2 y)))
(* x (+ (* 2 x) (* 2 y)))
(* x (+ (* 2 x) (* 2 y)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* 2 (pow x 2))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(* 2 (* x y))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* 2 (* x y))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ x y))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* x (+ x y))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* x (+ x y))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ y x)))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ y x)))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ y x)))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ y x)))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ y x)))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ y x)))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* x y) (pow x 2))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(+ (* x y) (pow x 2))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(+ (* x y) (pow x 2))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (/ (pow x 2) y)))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* y (+ x (/ (pow x 2) y)))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* y (+ x (/ (pow x 2) y)))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* 2 x) (* 2 y)))
(fma.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* 2 x) (* 2 y)))
(fma.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* 2 x) (* 2 y)))
(fma.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(fma.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(fma.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(fma.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(fma.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(fma.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(fma.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(fma.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(fma.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(fma.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(fma.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(fma.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(fma.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(fma.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(fma.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(fma.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))

eval64.0ms (0.9%)

Memory
3.3MiB live, 74.7MiB allocated
Compiler

Compiled 11 605 to 934 computations (92% saved)

prune54.0ms (0.7%)

Memory
16.1MiB live, 94.5MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3494353
Fresh000
Picked101
Done000
Total3504354
Accuracy
100.0%
Counts
354 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))
▶60.9%
(*.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)))
▶96.9%
(*.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 x y)))
▶58.8%
(*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
Compiler

Compiled 35 to 24 computations (31.4% saved)

simplify8.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff-128
(*.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))
✓cost-diff0
(*.f64 x #s(literal 2 binary64))
✓cost-diff0
(+.f64 x y)
✓cost-diff-64
(*.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)))
✓cost-diff0
(fma.f64 x y #s(literal 0 binary64))
✓cost-diff-64
(*.f64 x y)
✓cost-diff-64
(*.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 x y)))
✓cost-diff192
(fma.f64 x x (*.f64 x y))
✓cost-diff-64
(*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
✓cost-diff0
(fma.f64 x x #s(literal 0 binary64))
Rules
76×accelerator-lowering-fma.f32
76×accelerator-lowering-fma.f64
54×*-lowering-*.f32
54×*-lowering-*.f64
40×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01557
13857
26257
37057
07057
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* 2 (+ (* x x) 0))
2
(+ (* x x) 0)
x
0
(* 2 (+ (* x x) (* x y)))
2
(+ (* x x) (* x y))
x
(* x y)
y
(* 2 (+ (* x y) 0))
2
(+ (* x y) 0)
x
y
0
(* (+ x y) (* x 2))
(+ x y)
x
y
(* x 2)
2
Outputs
(* 2 (+ (* x x) 0))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
2
#s(literal 2 binary64)
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(* 2 (+ (* x x) (* x y)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
2
#s(literal 2 binary64)
(+ (* x x) (* x y))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
x
(* x y)
(fma.f64 x y #s(literal 0 binary64))
y
(* 2 (+ (* x y) 0))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
2
#s(literal 2 binary64)
(+ (* x y) 0)
(fma.f64 x y #s(literal 0 binary64))
x
y
0
#s(literal 0 binary64)
(* (+ x y) (* x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ x y)
(+.f64 x y)
x
y
(* x 2)
(*.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)

localize58.0ms (0.8%)

Memory
17.0MiB live, 122.5MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(fma.f64 x y #s(literal 0 binary64))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)))
✓accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 x y)))
✓accuracy96.9%
(fma.f64 x x (*.f64 x y))
✓accuracy100.0%
(fma.f64 x x #s(literal 0 binary64))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
Samples
30.0ms256×0valid
Compiler

Compiled 65 to 17 computations (73.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 12.0ms (68.4% of total)
ival-add: 5.0ms (28.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory
-35.6MiB live, 23.9MiB allocated
Counts
10 → 204
Calls
Call 1
Inputs
#<alt (+ (* x x) 0)>
#<alt (* 2 (+ (* x x) 0))>
#<alt (+ (* x x) (* x y))>
#<alt (* 2 (+ (* x x) (* x y)))>
#<alt (* x y)>
#<alt (+ (* x y) 0)>
#<alt (* 2 (+ (* x y) 0))>
#<alt (+ x y)>
#<alt (* x 2)>
#<alt (* (+ x y) (* x 2))>
Outputs
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* x y)>
#<alt (* x (+ x y))>
#<alt (* x (+ x y))>
#<alt (* x (+ x y))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ y x)))>
#<alt (* (pow x 2) (+ 1 (/ y x)))>
#<alt (* (pow x 2) (+ 1 (/ y x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ y x)))>
#<alt (* (pow x 2) (+ 1 (/ y x)))>
#<alt (* (pow x 2) (+ 1 (/ y x)))>
#<alt (pow x 2)>
#<alt (+ (* x y) (pow x 2))>
#<alt (+ (* x y) (pow x 2))>
#<alt (+ (* x y) (pow x 2))>
#<alt (* x y)>
#<alt (* y (+ x (/ (pow x 2) y)))>
#<alt (* y (+ x (/ (pow x 2) y)))>
#<alt (* y (+ x (/ (pow x 2) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))>
#<alt (* 2 (* x y))>
#<alt (* x (+ (* 2 x) (* 2 y)))>
#<alt (* x (+ (* 2 x) (* 2 y)))>
#<alt (* x (+ (* 2 x) (* 2 y)))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ y x))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ y x))))>
#<alt (* 2 (pow x 2))>
#<alt (+ (* 2 (* x y)) (* 2 (pow x 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow x 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow x 2)))>
#<alt (* 2 (* x y))>
#<alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))>
#<alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))>
#<alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 (* x y))>
#<alt (* x (+ (* 2 x) (* 2 y)))>
#<alt (* x (+ (* 2 x) (* 2 y)))>
#<alt (* x (+ (* 2 x) (* 2 y)))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ y x))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ y x))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ y x))))>
#<alt (* 2 (pow x 2))>
#<alt (+ (* 2 (* x y)) (* 2 (pow x 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow x 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow x 2)))>
#<alt (* 2 (* x y))>
#<alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))>
#<alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))>
#<alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))>
Calls

51 calls:

TimeVariablePointExpression
16.0ms
x
@inf
(* 2 (+ (* x y) 0))
1.0ms
y
@0
(* (+ x y) (* x 2))
0.0ms
x
@inf
(* 2 (+ (* x x) 0))
0.0ms
x
@-inf
(* (+ x y) (* x 2))
0.0ms
x
@-inf
(* x 2)

rewrite811.0ms (11%)

Memory
2.0MiB live, 1 122.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
14 356×accelerator-lowering-fma.f32
14 356×accelerator-lowering-fma.f64
4 328×*-lowering-*.f32
4 328×*-lowering-*.f64
3 144×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01544
18044
282544
0934744
Stop Event
1×iter limit
1×node limit
Counts
10 → 1 395
Calls
Call 1
Inputs
(+ (* x x) 0)
(* 2 (+ (* x x) 0))
(+ (* x x) (* x y))
(* 2 (+ (* x x) (* x y)))
(* x y)
(+ (* x y) 0)
(* 2 (+ (* x y) 0))
(+ x y)
(* x 2)
(* (+ x y) (* x 2))
Outputs
(+.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 x (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 x x) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) #s(literal 0 binary64))
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(*.f64 (fma.f64 (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) #s(literal 0 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 8 binary64) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 8 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 x (*.f64 #s(literal 2 binary64) y) #s(literal 0 binary64)) (-.f64 (fma.f64 x (*.f64 #s(literal 2 binary64) y) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)))))))
(*.f64 (*.f64 (fma.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 x (-.f64 x y) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 x (-.f64 x y) #s(literal 0 binary64)))))
(*.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) x)
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) x)
(*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (*.f64 (fma.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (*.f64 y (fma.f64 y y #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)) (*.f64 x (*.f64 y (fma.f64 x (-.f64 y x) #s(literal 0 binary64)))))))
(*.f64 (*.f64 (fma.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (-.f64 x y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) #s(literal 0 binary64))))
(*.f64 (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (*.f64 y (fma.f64 x (-.f64 y x) #s(literal 0 binary64)))))))
(*.f64 (*.f64 (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) (*.f64 (fma.f64 x (-.f64 x y) #s(literal 0 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (fma.f64 (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 x y)))
(*.f64 (/.f64 (fma.f64 (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))

simplify330.0ms (4.5%)

Memory
3.2MiB live, 481.1MiB allocated
Algorithm
1×egg-herbie
Rules
5 816×accelerator-lowering-fma.f32
5 816×accelerator-lowering-fma.f64
5 794×*-lowering-*.f32
5 794×*-lowering-*.f64
1 394×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052876
1178876
2442876
31231876
42357876
53913876
65598876
76666876
08083876
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* x y)
(* x (+ x y))
(* x (+ x y))
(* x (+ x y))
(pow x 2)
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(pow x 2)
(+ (* x y) (pow x 2))
(+ (* x y) (pow x 2))
(+ (* x y) (pow x 2))
(* x y)
(* y (+ x (/ (pow x 2) y)))
(* y (+ x (/ (pow x 2) y)))
(* y (+ x (/ (pow x 2) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(* 2 (* x y))
(* x (+ (* 2 x) (* 2 y)))
(* x (+ (* 2 x) (* 2 y)))
(* x (+ (* 2 x) (* 2 y)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* 2 (pow x 2))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(* 2 (* x y))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* 2 (* x y))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 (* x y))
(* x (+ (* 2 x) (* 2 y)))
(* x (+ (* 2 x) (* 2 y)))
(* x (+ (* 2 x) (* 2 y)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(* 2 (pow x 2))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(* 2 (* x y))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(* 2 (* x y))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
Outputs
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ x y))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* x (+ x y))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* x (+ x y))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ y x)))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ y x)))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ y x)))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ y x)))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ y x)))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ y x)))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* x y) (pow x 2))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(+ (* x y) (pow x 2))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(+ (* x y) (pow x 2))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (/ (pow x 2) y)))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* y (+ x (/ (pow x 2) y)))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* y (+ x (/ (pow x 2) y)))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(fma.f64 x (+.f64 x y) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* 2 (* x y)) (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))

eval236.0ms (3.2%)

Memory
50.9MiB live, 419.4MiB allocated
Compiler

Compiled 46 200 to 2 687 computations (94.2% saved)

prune232.0ms (3.2%)

Memory
-22.1MiB live, 484.5MiB allocated
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1 59721 599
Fresh000
Picked224
Done000
Total1 59941 603
Accuracy
100.0%
Counts
1 603 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))
▶60.9%
(*.f64 (*.f64 y #s(literal 2 binary64)) x)
▶58.8%
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
✓96.9%
(*.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 x y)))
Compiler

Compiled 33 to 22 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y #s(literal 2 binary64))
✓cost-diff0
(*.f64 (*.f64 y #s(literal 2 binary64)) x)
✓cost-diff0
(*.f64 x #s(literal 2 binary64))
✓cost-diff0
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
Rules
34×*-lowering-*.f32
34×*-lowering-*.f64
10×*-commutative
10×associate-*l*
8×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
11321
22221
32321
02321
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (* x 2) x)
(* x 2)
x
2
(* (* y 2) x)
(* y 2)
y
2
x
Outputs
(* (* x 2) x)
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(* (* y 2) x)
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(* y 2)
(*.f64 #s(literal 2 binary64) y)
y
2
#s(literal 2 binary64)
x

localize30.0ms (0.4%)

Memory
-10.9MiB live, 58.4MiB allocated
Localize:

Found 4 expressions of interest:

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

Compiled 23 to 9 computations (60.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 6.0ms (95.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
4 → 60
Calls
Call 1
Inputs
#<alt (* (* x 2) x)>
#<alt (* x 2)>
#<alt (* (* y 2) x)>
#<alt (* y 2)>
Outputs
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
Calls

15 calls:

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

rewrite268.0ms (3.6%)

Memory
5.7MiB live, 279.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 136×pow-lowering-pow.f64
2 136×pow-lowering-pow.f32
1 600×*-lowering-*.f32
1 600×*-lowering-*.f64
1 412×prod-exp
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
0720
11320
22220
32420
43120
54720
611120
73308
818548
918798
1020028
1132268
085458
Stop Event
1×iter limit
1×node limit
Counts
4 → 10
Calls
Call 1
Inputs
(* (* x 2) x)
(* x 2)
(* (* y 2) x)
(* y 2)
Outputs
#s(literal 2 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 2 binary64))

simplify11.0ms (0.1%)

Memory
-24.7MiB live, 17.0MiB allocated
Algorithm
1×egg-herbie
Rules
34×*-lowering-*.f32
34×*-lowering-*.f64
10×*-commutative
6×associate-*r*
6×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09252
116252
221252
021252
Stop Event
1×iter limit
1×saturated
Counts
60 → 60
Calls
Call 1
Inputs
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
Outputs
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)

eval7.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated
Compiler

Compiled 346 to 18 computations (94.8% saved)

prune6.0ms (0.1%)

Memory
-23.4MiB live, 15.1MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New67370
Fresh000
Picked022
Done022
Total67774
Accuracy
100.0%
Counts
74 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))
✓60.9%
(*.f64 (*.f64 y #s(literal 2 binary64)) x)
✓58.8%
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
▶3.5%
(*.f64 y #s(literal 2 binary64))
✓96.9%
(*.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 x y)))
▶4.1%
(*.f64 #s(literal 2 binary64) x)
▶3.8%
#s(literal 2 binary64)
Compiler

Compiled 46 to 33 computations (28.3% saved)

simplify3.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y #s(literal 2 binary64))
✓cost-diff0
(*.f64 #s(literal 2 binary64) x)
Rules
8×*-lowering-*.f32
8×*-lowering-*.f64
4×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
1711
0711
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
2
(* 2 x)
2
x
(* y 2)
y
2
Outputs
2
#s(literal 2 binary64)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(* y 2)
(*.f64 #s(literal 2 binary64) y)
y
2
#s(literal 2 binary64)

localize18.0ms (0.2%)

Memory
-1.1MiB live, 36.9MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) x)
Samples
11.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 5.0ms (101.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (* 2 x)>
#<alt (* y 2)>
Outputs
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
Calls

6 calls:

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

rewrite8.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8×*-lowering-*.f32
8×*-lowering-*.f64
4×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
176
076
Stop Event
1×iter limit
1×saturated
Counts
2 → 4
Calls
Call 1
Inputs
(* 2 x)
(* y 2)
Outputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))

simplify4.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated
Algorithm
1×egg-herbie
Rules
8×*-lowering-*.f32
8×*-lowering-*.f64
4×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0572
1772
0772
Stop Event
1×iter limit
1×saturated
Counts
24 → 24
Calls
Call 1
Inputs
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)

eval5.0ms (0.1%)

Memory
-29.3MiB live, 8.7MiB allocated
Compiler

Compiled 86 to 7 computations (91.9% saved)

prune4.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New28028
Fresh000
Picked033
Done044
Total28735
Accuracy
100.0%
Counts
35 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))
✓60.9%
(*.f64 (*.f64 y #s(literal 2 binary64)) x)
✓58.8%
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
✓3.5%
(*.f64 y #s(literal 2 binary64))
✓96.9%
(*.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 x y)))
✓4.1%
(*.f64 #s(literal 2 binary64) x)
✓3.8%
#s(literal 2 binary64)
Compiler

Compiled 101 to 54 computations (46.5% saved)

regimes20.0ms (0.3%)

Memory
-8.5MiB live, 32.3MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) x)
(*.f64 y #s(literal 2 binary64))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 (*.f64 y #s(literal 2 binary64)) x)
(*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)))
(*.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
Outputs
(*.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))
Calls

4 calls:

9.0ms
x
4.0ms
y
3.0ms
(+.f64 (*.f64 x x) (*.f64 x y))
3.0ms
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y)))
100.0%1(+.f64 (*.f64 x x) (*.f64 x y))
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes6.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) x)
(*.f64 y #s(literal 2 binary64))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 (*.f64 y #s(literal 2 binary64)) x)
(*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)))
Outputs
(*.f64 (*.f64 y #s(literal 2 binary64)) x)
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 (*.f64 y #s(literal 2 binary64)) x)
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
82.3%3x
86.9%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) x)
(*.f64 y #s(literal 2 binary64))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
Outputs
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
58.8%1x
58.8%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
-28.2MiB live, 9.8MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) x)
(*.f64 y #s(literal 2 binary64))
Outputs
(*.f64 #s(literal 2 binary64) x)
Calls

2 calls:

4.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
4.1%1y
4.1%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
7.3MiB live, 7.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
Outputs
#s(literal 2 binary64)
Calls

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
3.8%1x
3.8%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch15.0ms (0.2%)

Memory
29.5MiB live, 29.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.4750152130312743e-18
8.956919426582776e-11
3.0ms
-10020292.691629417
-8595087.188077873
Samples
8.0ms176×0valid
Compiler

Compiled 190 to 144 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (72.1% of total)
ival-add: 1.0ms (24% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory
-23.0MiB live, 15.2MiB allocated
Algorithm
1×egg-herbie
Rules
10×*-commutative_binary64
2×+-commutative_binary64
2×if-if-or-not_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01635
12435
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -10000000 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) x) (if (<=.f64 y #s(literal 851083777008699/9671406556917033397649408 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (*.f64 y #s(literal 2 binary64)) x)))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
Outputs
(*.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -10000000 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) x) (if (<=.f64 y #s(literal 851083777008699/9671406556917033397649408 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (*.f64 y #s(literal 2 binary64)) x)))
(if (<=.f64 y #s(literal -10000000 binary64)) (*.f64 x (*.f64 y #s(literal 2 binary64))) (if (<=.f64 y #s(literal 851083777008699/9671406556917033397649408 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

soundness2.9s (39.6%)

Memory
-30.0MiB live, 519.2MiB allocated
Rules
14 356×accelerator-lowering-fma.f32
14 356×accelerator-lowering-fma.f64
9 330×accelerator-lowering-fma.f32
9 330×accelerator-lowering-fma.f64
4 618×accelerator-lowering-fma.f32
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01544
18044
282544
0934744
0720
11320
22220
32420
43120
54720
611120
73308
818548
918798
1020028
1132268
085458
0718
13218
224818
3228418
0864918
040372
1134372
2345372
3756372
41649372
53593372
65824372
77074372
08071372
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 125 to 76 computations (39.2% saved)

preprocess56.0ms (0.8%)

Memory
20.6MiB live, 138.7MiB allocated
Compiler

Compiled 122 to 56 computations (54.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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