Linear.Matrix:fromQuaternion from linear-1.19.1.3, A

Time bar (total: 6.4s)

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)

sample908.0ms (14.2%)

Memory
23.9MiB live, 1 050.1MiB allocated
Samples
738.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 518.0ms
ival-mult: 466.0ms (90% of total)
ival-sub: 39.0ms (7.5% of total)
ival-true: 6.0ms (1.2% of total)
exact: 4.0ms (0.8% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess74.0ms (1.2%)

Memory
7.8MiB live, 91.0MiB allocated
Algorithm
2×egg-herbie
Rules
672×accelerator-lowering-fma.f32
672×accelerator-lowering-fma.f64
408×*-lowering-*.f32
408×*-lowering-*.f64
344×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02246
17742
218842
364442
4135042
5166542
6174542
7174542
8174542
077
1167
2407
3917
41777
52377
63877
75617
87777
98257
08257
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(* 2 (- (* x x) (* x y)))
Outputs
(* 2 (- (* x x) (* x y)))
(fma.f64 (-.f64 x y) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
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)))
(* 2 (* x (+ x y)))
(* 2 (- (* x x) (* x (neg y))))
(* 2 (* x (+ x y)))
(neg (* 2 (- (* (neg x) (neg x)) (* (neg x) y))))
(* (* x (+ x y)) -2)
(neg (* 2 (- (* x x) (* x (neg y)))))
(* (* x (+ x y)) -2)
(* 2 (- (* y y) (* y x)))
(* y (* 2 (- y x)))

explain104.0ms (1.6%)

Memory
2.6MiB live, 161.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
120-0-(-.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-rescue120
↳(*.f64 x x)overflow70
↳(*.f64 x y)overflow37
Confusion
Predicted +Predicted -
+120
-0244
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1200
-00244
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0244
112
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
37.0ms512×0valid
Compiler

Compiled 76 to 32 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 19.0ms (83.8% of total)
ival-sub: 2.0ms (8.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶95.3%
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify33.0ms (0.5%)

Memory
11.5MiB live, 49.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 x y)
✓cost-diff-64
(*.f64 x x)
✓cost-diff-64
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
✓cost-diff384
(-.f64 (*.f64 x x) (*.f64 x y))
Rules
672×accelerator-lowering-fma.f32
672×accelerator-lowering-fma.f64
408×*-lowering-*.f32
408×*-lowering-*.f64
156×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
11621
24021
39121
417721
523721
638721
756121
877721
982521
082521
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)))
(fma.f64 (-.f64 x y) (fma.f64 #s(literal 2 binary64) x #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)
(fma.f64 x x #s(literal 0 binary64))
x
(* x y)
(fma.f64 x y #s(literal 0 binary64))
y

localize29.0ms (0.5%)

Memory
-26.7MiB live, 50.7MiB 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)))
✓accuracy96.1%
(-.f64 (*.f64 x x) (*.f64 x y))
Samples
15.0ms256×0valid
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 (77.9% of total)
ival-sub: 1.0ms (15.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB 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 (* -1 (* x y))>
#<alt (* x (- x y))>
#<alt (* x (- x y))>
#<alt (* x (- x y))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y x))))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* x y)) (pow x 2))>
#<alt (+ (* -1 (* x y)) (pow x 2))>
#<alt (+ (* -1 (* x y)) (pow x 2))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (pow x 2) y) x))>
#<alt (* y (- (/ (pow x 2) y) x))>
#<alt (* y (- (/ (pow x 2) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))>
#<alt (* -2 (* x y))>
#<alt (* x (+ (* -2 y) (* 2 x)))>
#<alt (* x (+ (* -2 y) (* 2 x)))>
#<alt (* x (+ (* -2 y) (* 2 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 (* (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 (/ (pow x 2) y)) (* 2 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))>
#<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
@inf
(* x x)
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))

rewrite509.0ms (8%)

Memory
-16.1MiB live, 783.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 644×accelerator-lowering-fma.f32
9 644×accelerator-lowering-fma.f64
4 364×/-lowering-/.f32
4 364×/-lowering-/.f64
3 768×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0718
13018
223118
3219818
0878218
Stop Event
1×iter limit
1×node limit
Counts
4 → 304
Calls
Call 1
Inputs
(- (* x x) (* x y))
(* 2 (- (* x x) (* x y)))
(* x x)
(* x y)
Outputs
(+.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 x x))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (*.f64 y (+.f64 x y)) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y)))) (fma.f64 (*.f64 x x) (*.f64 y (+.f64 x y)) (*.f64 x (*.f64 x (*.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 x x) (*.f64 x y))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (*.f64 y (+.f64 x y)) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 y (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y)))) (fma.f64 (*.f64 x x) (*.f64 y (+.f64 x y)) (*.f64 x (*.f64 x (*.f64 x x))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x y)) (*.f64 x (/.f64 (*.f64 y y) (+.f64 x y))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x y) (*.f64 x x)))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x y))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x y)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x 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 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y)))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))) (fma.f64 (*.f64 x x) (*.f64 y (+.f64 x y)) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y)))) (*.f64 (*.f64 y (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y)))) (*.f64 y (*.f64 x (*.f64 y (*.f64 (*.f64 x x) 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 y (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y)))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))) (fma.f64 (*.f64 x x) (*.f64 y (+.f64 x y)) (*.f64 x (*.f64 x (*.f64 x 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)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 x x) (*.f64 y (+.f64 x y)) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y)))) (*.f64 y (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 x x) (*.f64 y (+.f64 x y)) (*.f64 x (*.f64 x (*.f64 x x))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 (*.f64 x x) y)))))) (/.f64 (*.f64 y (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y)))) (fma.f64 x (*.f64 x (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 (*.f64 x x) y)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x 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 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y)))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))) (fma.f64 x (*.f64 x (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 (*.f64 x x) y)))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y)))) (*.f64 (*.f64 y (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y)))) (*.f64 y (*.f64 x (*.f64 y (*.f64 (*.f64 x x) 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 y (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y)))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))) (fma.f64 x (*.f64 x (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 (*.f64 x x) y)))))))
(-.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)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 x (*.f64 x (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 (*.f64 x x) y)))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y)))) (*.f64 y (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 x (*.f64 x (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 (*.f64 x x) y)))))))
(-.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 y (*.f64 (*.f64 x x) 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 y (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y)))) (*.f64 y (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))))) (fma.f64 (*.f64 y (*.f64 (*.f64 x x) 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 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))))) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)))) (*.f64 x (+.f64 x y))))
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(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y)))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.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 (*.f64 x x) (*.f64 y (+.f64 x y))) (*.f64 (*.f64 y (*.f64 (*.f64 x x) y)) (*.f64 (*.f64 x (+.f64 x y)) (*.f64 x (+.f64 x y)))) (*.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 x x) (*.f64 y (+.f64 x y))) (-.f64 (*.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (*.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 (*.f64 x x) (*.f64 y (+.f64 x y)) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 x (-.f64 x y)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y x) (*.f64 x (*.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)))
(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 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(exp.f64 (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)

simplify201.0ms (3.2%)

Memory
26.9MiB live, 339.3MiB allocated
Algorithm
1×egg-herbie
Rules
5 292×accelerator-lowering-fma.f32
5 292×accelerator-lowering-fma.f64
3 234×*-lowering-*.f32
3 234×*-lowering-*.f64
1 098×unsub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042411
1132411
2315411
31121375
43468375
55520375
66522375
08010375
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(* -1 (* x y))
(* x (- x y))
(* x (- x y))
(* x (- x y))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(pow x 2)
(+ (* -1 (* x y)) (pow x 2))
(+ (* -1 (* x y)) (pow x 2))
(+ (* -1 (* x y)) (pow x 2))
(* -1 (* x y))
(* y (- (/ (pow x 2) y) x))
(* y (- (/ (pow x 2) y) x))
(* y (- (/ (pow x 2) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
(* -2 (* x y))
(* x (+ (* -2 y) (* 2 x)))
(* x (+ (* -2 y) (* 2 x)))
(* x (+ (* -2 y) (* 2 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))
(* (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 (/ (pow x 2) y)) (* 2 x))))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(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
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (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 (* -1 (/ y x))))
(fma.f64 x (-.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(fma.f64 x (-.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -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 (* -1 (/ y x))))
(fma.f64 x (-.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(fma.f64 x (-.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(fma.f64 x (-.f64 x y) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* -1 (* x y)) (pow x 2))
(fma.f64 x (-.f64 x y) #s(literal 0 binary64))
(+ (* -1 (* x y)) (pow x 2))
(fma.f64 x (-.f64 x y) #s(literal 0 binary64))
(+ (* -1 (* x y)) (pow x 2))
(fma.f64 x (-.f64 x y) #s(literal 0 binary64))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* y (- (/ (pow x 2) y) x))
(fma.f64 x (-.f64 x y) #s(literal 0 binary64))
(* y (- (/ (pow x 2) y) x))
(fma.f64 x (-.f64 x y) #s(literal 0 binary64))
(* y (- (/ (pow x 2) y) x))
(fma.f64 x (-.f64 x y) #s(literal 0 binary64))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
(fma.f64 x (-.f64 x y) #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
(fma.f64 x (-.f64 x y) #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -1 x))))
(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 y) (* 2 x)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* -2 y) (* 2 x)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* -2 y) (* 2 x)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #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 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #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 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #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 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #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 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #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 (/ (pow x 2) y)) (* 2 x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #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))

eval61.0ms (1%)

Memory
-12.6MiB live, 96.9MiB allocated
Compiler

Compiled 16 072 to 1 081 computations (93.3% saved)

prune45.0ms (0.7%)

Memory
20.2MiB live, 99.2MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3853388
Fresh000
Picked101
Done000
Total3863389
Accuracy
100.0%
Counts
389 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.0%
(fma.f64 x (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
▶100.0%
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
▶60.8%
(*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify38.0ms (0.6%)

Memory
-13.3MiB live, 59.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
✓cost-diff-64
(*.f64 x #s(literal 2 binary64))
✓cost-diff-64
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
✓cost-diff0
(-.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
672×accelerator-lowering-fma.f32
672×accelerator-lowering-fma.f64
408×*-lowering-*.f32
408×*-lowering-*.f64
166×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01539
14039
26939
310939
417439
528439
646539
774639
885939
986139
086139
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* 2 (+ (* x x) 0))
2
(+ (* x x) 0)
x
0
(* (- x y) (* x 2))
(- x y)
x
y
(* x 2)
2
(+ (* x (+ (* y -2) 0)) 0)
x
(+ (* y -2) 0)
y
-2
0
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)
(* (- 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)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
2
#s(literal 2 binary64)
(+ (* x (+ (* y -2) 0)) 0)
(fma.f64 x (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
x
(+ (* y -2) 0)
(fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64))
y
-2
#s(literal -2 binary64)
0
#s(literal 0 binary64)

localize50.0ms (0.8%)

Memory
7.8MiB live, 98.5MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64))
✓accuracy99.6%
(fma.f64 x (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓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
36.0ms256×0valid
Compiler

Compiled 46 to 17 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 18.0ms (72% of total)
ival-add: 5.0ms (20% of total)
ival-sub: 1.0ms (4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
18.7MiB live, 18.7MiB allocated
Counts
7 → 120
Calls
Call 1
Inputs
#<alt (+ (* x x) 0)>
#<alt (* 2 (+ (* x x) 0))>
#<alt (- x y)>
#<alt (* (- x y) (* x 2))>
#<alt (* x 2)>
#<alt (+ (* x (+ (* y -2) 0)) 0)>
#<alt (+ (* y -2) 0)>
Outputs
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 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 (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -2 (* x y))>
#<alt (* x (+ (* -2 y) (* 2 x)))>
#<alt (* x (+ (* -2 y) (* 2 x)))>
#<alt (* x (+ (* -2 y) (* 2 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 (* (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 (/ (pow x 2) y)) (* 2 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 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)>
#<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

30 calls:

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

rewrite419.0ms (6.6%)

Memory
3.9MiB live, 713.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 550×accelerator-lowering-fma.f32
7 550×accelerator-lowering-fma.f64
4 884×*-lowering-*.f32
4 884×*-lowering-*.f64
3 436×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01529
18529
278029
3794229
0889829
Stop Event
1×iter limit
1×node limit
Counts
7 → 1 035
Calls
Call 1
Inputs
(+ (* x x) 0)
(* 2 (+ (* x x) 0))
(- x y)
(* (- x y) (* x 2))
(* x 2)
(+ (* x (+ (* y -2) 0)) 0)
(+ (* y -2) 0)
Outputs
(+.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 x (/.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 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 (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))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x #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)))) #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 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (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)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 x (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 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (fma.f64 x 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 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (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)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (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 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 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (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 x (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 x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #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 x #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 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.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 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x x #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 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #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 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #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 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #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)) #s(literal 0 binary64))
(fma.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)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (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)) #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 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.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)) (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))) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (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 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #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)) (fma.f64 x (fma.f64 x (fma.f64 x x #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)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (fma.f64 (fma.f64 x x #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 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #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 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
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(*.f64 (/.f64 (pow.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 y y)) (/.f64 (pow.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 y y)))
(*.f64 (/.f64 y y) (/.f64 (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal -2 binary64)) (/.f64 y y))
(*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) y))
(*.f64 (/.f64 (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) y) (/.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 y (fma.f64 y (*.f64 (*.f64 y y) #s(literal -8 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 y (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) y))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -8 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(*.f64 (/.f64 (*.f64 y y) y) #s(literal -2 binary64))
(*.f64 (/.f64 (*.f64 y y) #s(literal -2 binary64)) (/.f64 #s(literal 4 binary64) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (*.f64 y y) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 y y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -8 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -8 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 y y) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(*.f64 (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -8 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64) #s(literal 0 binary64))) (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 16 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -8 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -8 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -8 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -8 binary64)) #s(literal 0 binary64)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -8 binary64)) #s(literal 0 binary64))) (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64) #s(literal 0 binary64))) (fma.f64 (*.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64))) (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -8 binary64)) #s(literal 0 binary64))) (/.f64 y (/.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -8 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))))

simplify279.0ms (4.4%)

Memory
-25.0MiB live, 251.6MiB allocated
Algorithm
1×egg-herbie
Rules
4 622×accelerator-lowering-fma.f32
4 622×accelerator-lowering-fma.f64
3 612×*-lowering-*.f32
3 612×*-lowering-*.f64
1 188×unsub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044543
1134543
2338543
3927507
42326507
54641507
66359507
77259507
08009507
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 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))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -2 (* x y))
(* x (+ (* -2 y) (* 2 x)))
(* x (+ (* -2 y) (* 2 x)))
(* x (+ (* -2 y) (* 2 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))
(* (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 (/ (pow x 2) y)) (* 2 x))))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 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
(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))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -2 (* x y))
(fma.f64 x (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* -2 y) (* 2 x)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* -2 y) (* 2 x)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* -2 y) (* 2 x)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.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 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.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 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 2 (* -2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.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 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* -2 (* x y)) (* 2 (pow x 2)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #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 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* -2 x) (* 2 (/ (pow x 2) y))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #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 (/ (pow x 2) y)) (* 2 x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -2 (/ (pow x 2) y)) (* 2 x))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (-.f64 x y) #s(literal 0 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)
(fma.f64 x #s(literal 2 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))
(* -2 (* x y))
(fma.f64 x (fma.f64 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))
(* -2 (* x y))
(fma.f64 x (fma.f64 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))
(* -2 (* x y))
(fma.f64 x (fma.f64 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))
(* -2 (* x y))
(fma.f64 x (fma.f64 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))
(* -2 (* x y))
(fma.f64 x (fma.f64 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))
(* -2 (* x y))
(fma.f64 x (fma.f64 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))
(* -2 (* x y))
(fma.f64 x (fma.f64 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))
(* -2 (* x y))
(fma.f64 x (fma.f64 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))
(* -2 (* x y))
(fma.f64 x (fma.f64 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))
(* -2 (* x y))
(fma.f64 x (fma.f64 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))
(* -2 (* x y))
(fma.f64 x (fma.f64 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))
(* -2 (* x y))
(fma.f64 x (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 y)
(fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64))
(* -2 y)
(fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64))
(* -2 y)
(fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64))
(* -2 y)
(fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64))
(* -2 y)
(fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64))
(* -2 y)
(fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64))
(* -2 y)
(fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64))
(* -2 y)
(fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64))
(* -2 y)
(fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64))
(* -2 y)
(fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64))
(* -2 y)
(fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64))
(* -2 y)
(fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64))

eval242.0ms (3.8%)

Memory
11.7MiB live, 245.5MiB allocated
Compiler

Compiled 26 806 to 2 086 computations (92.2% saved)

prune320.0ms (5%)

Memory
32.3MiB live, 297.0MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1 15321 155
Fresh000
Picked213
Done000
Total1 15531 158
Accuracy
100.0%
Counts
1 158 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
▶60.8%
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
▶52.4%
(*.f64 (*.f64 x #s(literal -2 binary64)) y)
Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify4.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
11521
22521
32721
02721
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (* x -2) y)
(* x -2)
x
-2
y
(* (* x 2) x)
(* x 2)
x
2
Outputs
(* (* x -2) y)
(*.f64 x (*.f64 #s(literal -2 binary64) y))
(* x -2)
(*.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
y
(* (* 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)

localize28.0ms (0.4%)

Memory
-0.1MiB live, 41.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 (*.f64 x #s(literal -2 binary64)) y)
✓accuracy100.0%
(*.f64 x #s(literal -2 binary64))
Samples
14.0ms256×0valid
Compiler

Compiled 23 to 10 computations (56.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 6.0ms (89.4% 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
2.1MiB live, 2.1MiB allocated
Counts
4 → 60
Calls
Call 1
Inputs
#<alt (* (* x -2) y)>
#<alt (* x -2)>
#<alt (* (* x 2) x)>
#<alt (* x 2)>
Outputs
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 (* x y))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<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)>
Calls

15 calls:

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

rewrite120.0ms (1.9%)

Memory
-15.2MiB live, 218.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 170×pow-lowering-pow.f64
2 170×pow-lowering-pow.f32
1 412×prod-exp
1 264×*-lowering-*.f32
1 264×*-lowering-*.f64
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
0818
11518
22518
32818
43518
55118
611918
73506
819296
919546
1020776
1132746
083326
Stop Event
1×iter limit
1×node limit
Counts
4 → 7
Calls
Call 1
Inputs
(* (* x -2) y)
(* x -2)
(* (* x 2) x)
(* x 2)
Outputs
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) y)
(*.f64 y #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
#s(literal -2 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)

simplify8.0ms (0.1%)

Memory
21.9MiB live, 21.9MiB allocated
Algorithm
1×egg-herbie
Rules
38×*-lowering-*.f32
38×*-lowering-*.f64
12×*-commutative
8×associate-*r*
8×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010252
117252
225252
326252
026252
Stop Event
1×iter limit
1×saturated
Counts
60 → 60
Calls
Call 1
Inputs
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 (* x y))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 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)
Outputs
(* -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 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 (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 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

eval7.0ms (0.1%)

Memory
-20.5MiB live, 18.2MiB allocated
Compiler

Compiled 325 to 18 computations (94.5% saved)

prune4.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New64367
Fresh000
Picked022
Done011
Total64670
Accuracy
100.0%
Counts
70 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
✓60.8%
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
✓52.4%
(*.f64 (*.f64 x #s(literal -2 binary64)) y)
▶3.7%
(*.f64 y #s(literal -2 binary64))
▶4.5%
(*.f64 #s(literal 2 binary64) x)
▶3.8%
#s(literal 2 binary64)
Compiler

Compiled 36 to 27 computations (25% saved)

simplify4.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB 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
0611
1811
0811
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 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)

localize35.0ms (0.5%)

Memory
-37.6MiB live, 30.2MiB 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
28.0ms256×0valid
Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 21.0ms (98.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.2MiB live, 1.2MiB 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
y
@inf
(* y -2)
0.0ms
x
@inf
(* 2 x)
0.0ms
x
@0
(* 2 x)
0.0ms
x
@-inf
(* 2 x)

rewrite9.0ms (0.1%)

Memory
-26.2MiB live, 12.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8×*-lowering-*.f32
8×*-lowering-*.f64
4×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
186
086
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 y #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) y)

simplify5.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Algorithm
1×egg-herbie
Rules
8×*-lowering-*.f32
8×*-lowering-*.f64
4×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0672
1872
0872
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)

eval3.0ms (0%)

Memory
13.2MiB live, 13.2MiB allocated
Compiler

Compiled 86 to 8 computations (90.7% saved)

prune4.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New28028
Fresh000
Picked033
Done033
Total28634
Accuracy
100.0%
Counts
34 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
✓60.8%
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
✓52.4%
(*.f64 (*.f64 x #s(literal -2 binary64)) y)
✓3.7%
(*.f64 y #s(literal -2 binary64))
✓4.5%
(*.f64 #s(literal 2 binary64) x)
✓3.8%
#s(literal 2 binary64)
Compiler

Compiled 84 to 48 computations (42.9% saved)

regimes16.0ms (0.3%)

Memory
-3.8MiB live, 33.8MiB allocated
Counts
9 → 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)) y)
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 x (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(*.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:

5.0ms
(-.f64 (*.f64 x x) (*.f64 x y))
4.0ms
y
4.0ms
x
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)

regimes13.0ms (0.2%)

Memory
-10.2MiB live, 28.8MiB 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)) y)
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 x (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
Outputs
(*.f64 (*.f64 x #s(literal -2 binary64)) y)
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 (*.f64 x #s(literal -2 binary64)) y)
Calls

4 calls:

4.0ms
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
3.0ms
y
3.0ms
x
3.0ms
(-.f64 (*.f64 x x) (*.f64 x y))
Results
AccuracySegmentsBranch
78.5%3x
85.3%3y
81.3%2(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
81.3%2(-.f64 (*.f64 x x) (*.f64 x y))
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes11.0ms (0.2%)

Memory
-21.1MiB live, 20.1MiB 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)) y)
Outputs
(*.f64 (*.f64 x #s(literal -2 binary64)) y)
Calls

4 calls:

2.0ms
y
2.0ms
x
2.0ms
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
2.0ms
(-.f64 (*.f64 x x) (*.f64 x y))
Results
AccuracySegmentsBranch
52.4%1x
52.4%1(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
52.4%1(-.f64 (*.f64 x x) (*.f64 x y))
52.4%1y
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes8.0ms (0.1%)

Memory
20.2MiB live, 20.2MiB 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

4 calls:

2.0ms
y
2.0ms
x
2.0ms
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
2.0ms
(-.f64 (*.f64 x x) (*.f64 x y))
Results
AccuracySegmentsBranch
4.5%1(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
4.5%1(-.f64 (*.f64 x x) (*.f64 x y))
4.5%1x
4.5%1y
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes5.0ms (0.1%)

Memory
15.6MiB live, 15.6MiB 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

4 calls:

1.0ms
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
1.0ms
x
1.0ms
y
1.0ms
(-.f64 (*.f64 x x) (*.f64 x y))
Results
AccuracySegmentsBranch
3.8%1y
3.8%1x
3.8%1(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 x y)))
3.8%1(-.f64 (*.f64 x x) (*.f64 x y))
Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch14.0ms (0.2%)

Memory
-10.8MiB live, 28.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
3.273866917924759e-10
2.0873586756681207e-7
3.0ms
-6.384832272777584e+86
-5.313289226956957e+86
Samples
7.0ms160×0valid
Compiler

Compiled 174 to 132 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (78.5% of total)
ival-sub: 1.0ms (26.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory
-22.3MiB live, 16.9MiB allocated
Algorithm
1×egg-herbie
Rules
12×*-commutative_binary64
4×+-commutative_binary64
4×sub-neg_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01735
12635
23135
33335
43435
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -550000000000000021850375070452307741903035367879611187505453877284161110663179966349312 binary64)) (*.f64 (*.f64 x #s(literal -2 binary64)) y) (if (<=.f64 y #s(literal 279564095785883/37778931862957161709568 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (*.f64 x #s(literal -2 binary64)) y)))
(*.f64 (*.f64 x #s(literal -2 binary64)) y)
(*.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 -550000000000000021850375070452307741903035367879611187505453877284161110663179966349312 binary64)) (*.f64 (*.f64 x #s(literal -2 binary64)) y) (if (<=.f64 y #s(literal 279564095785883/37778931862957161709568 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) x) (*.f64 (*.f64 x #s(literal -2 binary64)) y)))
(if (<=.f64 y #s(literal -550000000000000021850375070452307741903035367879611187505453877284161110663179966349312 binary64)) (*.f64 y (*.f64 x #s(literal -2 binary64))) (if (<=.f64 y #s(literal 279564095785883/37778931862957161709568 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 y (*.f64 x #s(literal -2 binary64)))))
(*.f64 (*.f64 x #s(literal -2 binary64)) y)
(*.f64 y (*.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

soundness2.7s (42.4%)

Memory
27.6MiB live, 581.1MiB allocated
Rules
9 644×accelerator-lowering-fma.f32
9 644×accelerator-lowering-fma.f64
7 550×accelerator-lowering-fma.f32
7 550×accelerator-lowering-fma.f64
5 292×accelerator-lowering-fma.f32
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
0818
11518
22518
32818
43518
55118
611918
73506
819296
919546
1020776
1132746
083326
01529
18529
278029
3794229
0889829
0718
13018
223118
3219818
0878218
042411
1132411
2315411
31121375
43468375
55520375
66522375
08010375
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 127 to 77 computations (39.4% saved)

preprocess43.0ms (0.7%)

Memory
-9.5MiB live, 106.2MiB allocated
Compiler

Compiled 122 to 58 computations (52.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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