Data.Random.Distribution.T:$ccdf from random-fu-0.2.6.2

Time bar (total: 3.1s)

analyze10.0ms (0.3%)

Memory
18.0MiB live, 18.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample557.0ms (18.1%)

Memory
-11.7MiB live, 888.7MiB allocated
Samples
364.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 205.0ms
ival-div: 104.0ms (50.8% of total)
ival-add: 93.0ms (45.4% of total)
ival-true: 5.0ms (2.4% of total)
ival-assert: 3.0ms (1.5% of total)
Bogosity

preprocess112.0ms (3.7%)

Memory
-14.8MiB live, 63.4MiB allocated
Algorithm
2×egg-herbie
Rules
1 008×times-frac
972×div-sub
948×distribute-lft-in
880×distribute-rgt-in
648×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01748
14442
210842
332042
4130242
5266942
6364042
7420842
8463242
9489142
10504542
11545842
12560742
057
187
2117
3137
0137
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (+ x y) (+ y y))
Outputs
(/ (+ x y) (+ y y))
(/.f64 (+.f64 x y) (+.f64 y y))
Call 2
Inputs
(/ (+ x y) (+ y y))
(/ (+ (neg x) y) (+ y y))
(/ (+ x (neg y)) (+ (neg y) (neg y)))
(neg (/ (+ (neg x) y) (+ y y)))
(neg (/ (+ x (neg y)) (+ (neg y) (neg y))))
(/ (+ y x) (+ x x))
Outputs
(/ (+ x y) (+ y y))
(* -1/2 (- -1 (/ x y)))
(/ (+ (neg x) y) (+ y y))
(* (- y x) (/ 1/2 y))
(/ (+ x (neg y)) (+ (neg y) (neg y)))
(* (- y x) (/ 1/2 y))
(neg (/ (+ (neg x) y) (+ y y)))
(* (- y x) (/ -1/2 y))
(neg (/ (+ x (neg y)) (+ (neg y) (neg y))))
(* (- y x) (/ -1/2 y))
(/ (+ y x) (+ x x))
(+ 1/2 (* 1/2 (/ y x)))

explain95.0ms (3.1%)

Memory
11.6MiB live, 95.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.f64 (+.f64 x y) (+.f64 y y))
00-0-(+.f64 y y)
00-0-y
00-0-(+.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 x y) (+.f64 y y))n/o10
↳(+.f64 y y)overflow1
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
61.0ms512×0valid
Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 5.0ms (54.2% of total)
ival-div: 4.0ms (43.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify13.0ms (0.4%)

Memory
-34.7MiB live, 4.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 y y)
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(/.f64 (+.f64 x y) (+.f64 y y))
Rules
10×/-lowering-/.f32
10×/-lowering-/.f64
6×+-lowering-+.f64
6×+-lowering-+.f32
4×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
1815
21115
31315
01315
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (+ x y) (+ y y))
(+ x y)
x
y
(+ y y)
Outputs
(/ (+ x y) (+ y y))
(/.f64 (+.f64 x y) (+.f64 y y))
(+ x y)
(+.f64 x y)
x
y
(+ y y)
(+.f64 y y)

localize16.0ms (0.5%)

Memory
21.7MiB live, 21.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 y y)
✓accuracy100.0%
(+.f64 x y)
✓accuracy99.6%
(/.f64 (+.f64 x y) (+.f64 y y))
Samples
10.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (42.1% of total)
ival-add: 2.0ms (42.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.2%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#<alt (/ (+ x y) (+ y y))>
#<alt (+ x y)>
#<alt (+ y y)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ 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 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
1.0ms
y
@0
(+ y y)
1.0ms
x
@inf
(/ (+ x y) (+ y y))
1.0ms
y
@0
(/ (+ x y) (+ y y))
0.0ms
x
@0
(/ (+ x y) (+ y y))
0.0ms
y
@inf
(/ (+ x y) (+ y y))

rewrite99.0ms (3.2%)

Memory
-6.9MiB live, 73.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
150×/-lowering-/.f32
150×/-lowering-/.f64
128×*-lowering-*.f32
128×*-lowering-*.f64
76×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
13513
030213
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
Counts
3 → 61
Calls
Call 1
Inputs
(/ (+ x y) (+ y y))
(+ x y)
(+ y y)
Outputs
(neg.f64 (*.f64 (+.f64 x y) (+.f64 y y)))
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (neg.f64 (+.f64 x y)) (+.f64 y y))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 y y) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y y) (+.f64 x y)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 y y) (-.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y y) (+.f64 x y))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 y y)))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (+.f64 y y)))
(/.f64 (neg.f64 (neg.f64 (+.f64 x y))) (+.f64 y y))
(/.f64 (*.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 y y))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (+.f64 y y)) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 y y)) (-.f64 x y))
(/.f64 (/.f64 (+.f64 x y) #s(literal 2 binary64)) y)
(pow.f64 (/.f64 (+.f64 y y) (+.f64 x y)) #s(literal -1 binary64))
(*.f64 (+.f64 x y) (+.f64 y y))
(*.f64 (+.f64 y y) (+.f64 x y))
(*.f64 (neg.f64 (+.f64 x y)) (+.f64 y y))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (+.f64 y y)))
(*.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 x y)
(+.f64 y x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(+.f64 y y)
(+.f64 (neg.f64 y) (neg.f64 y))
(-.f64 #s(literal 0 binary64) (+.f64 y y))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(neg.f64 (+.f64 y y))
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))))
(/.f64 #s(literal -1 binary64) (+.f64 y y))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal 1/2 binary64) y)
(pow.f64 (+.f64 y y) #s(literal -1 binary64))
(*.f64 y #s(literal 2 binary64))
(*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (+.f64 y y))
(*.f64 #s(literal -2 binary64) y)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))

simplify232.0ms (7.6%)

Memory
11.5MiB live, 172.1MiB allocated
Algorithm
1×egg-herbie
Rules
4 752×accelerator-lowering-fma.f32
4 752×accelerator-lowering-fma.f64
2 672×*-lowering-*.f32
2 672×*-lowering-*.f64
1 714×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034240
195240
2195240
3539240
42494240
54900240
66147240
77103240
87625240
08012222
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* 1/2 (/ x y))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
1/2
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
1/2
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ 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 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 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 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))

eval20.0ms (0.7%)

Memory
-22.2MiB live, 16.8MiB allocated
Compiler

Compiled 1 159 to 163 computations (85.9% saved)

prune9.0ms (0.3%)

Memory
15.4MiB live, 15.4MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1174121
Fresh000
Picked101
Done000
Total1184122
Accuracy
100.0%
Counts
122 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
▶46.8%
(/.f64 x (+.f64 y y))
▶4.4%
(*.f64 (+.f64 y y) (+.f64 x y))
▶54.6%
#s(literal 1/2 binary64)
Compiler

Compiled 27 to 17 computations (37% saved)

simplify8.0ms (0.3%)

Memory
8.5MiB live, 8.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
✓cost-diff0
(+.f64 y y)
✓cost-diff0
(/.f64 x (+.f64 y y))
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(+.f64 y y)
✓cost-diff0
(*.f64 (+.f64 y y) (+.f64 x y))
Rules
114×accelerator-lowering-fma.f32
114×accelerator-lowering-fma.f64
84×+-lowering-+.f64
84×+-lowering-+.f32
78×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01039
12439
25239
39739
413639
516939
016938
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
1/2
(* (+ y y) (+ x y))
(+ y y)
y
(+ x y)
x
(/ x (+ y y))
x
(+ y y)
y
(+ (* 1/2 (/ x y)) 1/2)
1/2
(/ x y)
x
y
Outputs
1/2
#s(literal 1/2 binary64)
(* (+ y y) (+ x y))
(*.f64 (+.f64 y y) (+.f64 y x))
(+ y y)
(+.f64 y y)
y
(+ x y)
(+.f64 y x)
x
(/ x (+ y y))
(/.f64 x (+.f64 y y))
x
(+ y y)
(+.f64 y y)
y
(+ (* 1/2 (/ x y)) 1/2)
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ x y)
(/.f64 x y)
x
y

localize46.0ms (1.5%)

Memory
-5.0MiB live, 32.9MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(+.f64 y y)
✓accuracy99.6%
(/.f64 x (+.f64 y y))
✓accuracy100.0%
(+.f64 y y)
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(*.f64 (+.f64 y y) (+.f64 x y))
Samples
34.0ms256×0valid
Compiler

Compiled 40 to 12 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-add: 18.0ms (71.8% of total)
ival-div: 4.0ms (16% of total)
ival-mult: 3.0ms (12% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.3%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
6 → 132
Calls
Call 1
Inputs
#<alt (* (+ y y) (+ x y))>
#<alt (+ y y)>
#<alt (+ x y)>
#<alt (/ x (+ y y))>
#<alt (+ (* 1/2 (/ x y)) 1/2)>
#<alt (/ x y)>
Outputs
#<alt (* 2 (* x y))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* 2 (pow y 2))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (* 2 (* x y))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 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)>
#<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 (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ 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)>
Calls

33 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ x (+ y y))
0.0ms
x
@0
(/ x (+ y y))
0.0ms
y
@0
(/ x (+ y y))
0.0ms
y
@inf
(/ x (+ y y))
0.0ms
x
@-inf
(* (+ y y) (+ x y))

rewrite105.0ms (3.4%)

Memory
-2.5MiB live, 33.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
302×*-lowering-*.f32
302×*-lowering-*.f64
282×/-lowering-/.f32
282×/-lowering-/.f64
216×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
17128
058727
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
Counts
6 → 154
Calls
Call 1
Inputs
(* (+ y y) (+ x y))
(+ y y)
(+ x y)
(/ x (+ y y))
(+ (* 1/2 (/ x y)) 1/2)
(/ x y)
Outputs
(+.f64 (+.f64 y y) (*.f64 (+.f64 y y) x))
(+.f64 (*.f64 (+.f64 y y) x) (+.f64 y y))
(+.f64 (*.f64 (+.f64 y x) y) (*.f64 (+.f64 y x) y))
(+.f64 (*.f64 y (+.f64 y x)) (*.f64 y (+.f64 y x)))
(fma.f64 y (+.f64 y y) (*.f64 (+.f64 y y) x))
(fma.f64 y (+.f64 y x) (*.f64 y (+.f64 y x)))
(fma.f64 y #s(literal 2 binary64) (*.f64 (+.f64 y y) x))
(fma.f64 (+.f64 y y) y (*.f64 (+.f64 y y) x))
(fma.f64 (+.f64 y y) x (+.f64 y y))
(fma.f64 x (+.f64 y y) (+.f64 y y))
(fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) y))
(fma.f64 (neg.f64 x) (+.f64 y y) (+.f64 y y))
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (+.f64 y y) x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 y y) x))
(fma.f64 #s(literal 1 binary64) (+.f64 y y) (*.f64 (+.f64 y y) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 y y) x) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) y (*.f64 (+.f64 y y) x))
(fma.f64 #s(literal 2 binary64) (neg.f64 y) (*.f64 (+.f64 y y) x))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 (+.f64 y y) x))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (+.f64 y y))
(fma.f64 #s(literal -1 binary64) (+.f64 y y) (*.f64 (+.f64 y y) x))
(fma.f64 #s(literal -2 binary64) y (*.f64 (+.f64 y y) x))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (+.f64 y y))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)) (*.f64 (+.f64 y y) x))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64) (*.f64 (+.f64 y y) x))
(fma.f64 (/.f64 x (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))
(fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) (+.f64 y y))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 x y)))
(/.f64 (*.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 #s(literal 0 binary64) (-.f64 x y)))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 0 binary64)) (*.f64 (-.f64 x y) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y y) x) #s(literal 3 binary64)) (pow.f64 (+.f64 y y) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 y y) x) (*.f64 (+.f64 y y) x) (-.f64 (*.f64 (+.f64 y y) (+.f64 y y)) (*.f64 (*.f64 (+.f64 y y) x) (+.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 y y) x) (*.f64 (+.f64 y y) x)) (*.f64 (+.f64 y y) (+.f64 y y))) (-.f64 (*.f64 (+.f64 y y) x) (+.f64 y y)))
(/.f64 (*.f64 (+.f64 y y) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 y y) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 y x) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (+.f64 y x)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (+.f64 y x)) #s(literal 0 binary64))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (+.f64 y y)) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y y)) (-.f64 x y))
(*.f64 (+.f64 y y) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 y y))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 y x)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) y)
(+.f64 y y)
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 (*.f64 y y) (*.f64 y y))
(-.f64 #s(literal 0 binary64) (+.f64 y y))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(fma.f64 y y (*.f64 y y))
(fma.f64 #s(literal -1 binary64) y (neg.f64 y))
(neg.f64 (+.f64 y y))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))))
(/.f64 #s(literal -1 binary64) (+.f64 y y))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 y (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) y) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(pow.f64 (+.f64 y y) #s(literal -1 binary64))
(*.f64 y (+.f64 y y))
(*.f64 y #s(literal 2 binary64))
(*.f64 (+.f64 y y) y)
(*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(*.f64 #s(literal -1 binary64) (+.f64 y y))
(*.f64 #s(literal -2 binary64) y)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 y x)
(+.f64 x y)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(+.f64 (*.f64 y x) (*.f64 y x))
(fma.f64 y x (*.f64 y x))
(fma.f64 x y (*.f64 y x))
(neg.f64 (*.f64 (+.f64 y y) x))
(/.f64 x (+.f64 y y))
(/.f64 (neg.f64 x) (+.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y y) x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y y) x)))
(/.f64 (neg.f64 (neg.f64 x)) (+.f64 y y))
(/.f64 (*.f64 x #s(literal 1 binary64)) (+.f64 y y))
(/.f64 (*.f64 x (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) x) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
(pow.f64 (/.f64 (+.f64 y y) x) #s(literal -1 binary64))
(*.f64 (+.f64 y y) x)
(*.f64 x (+.f64 y y))
(*.f64 (neg.f64 x) (+.f64 y y))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y y) x))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 (/.f64 x (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 y y)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 y y)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 y y)) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 y y)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 y y)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 y y)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)))))
(*.f64 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(neg.f64 (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) y))
(/.f64 x y)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 x #s(literal 1 binary64)) y)
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)

simplify236.0ms (7.7%)

Memory
1.4MiB live, 276.8MiB allocated
Algorithm
1×egg-herbie
Rules
5 472×accelerator-lowering-fma.f32
5 472×accelerator-lowering-fma.f64
3 286×*-lowering-*.f32
3 286×*-lowering-*.f64
1 312×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057588
1176588
2393588
31168588
42711588
55956588
08106570
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
(* 2 (* x y))
(* y (+ (* 2 x) (* 2 y)))
(* y (+ (* 2 x) (* 2 y)))
(* y (+ (* 2 x) (* 2 y)))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* 2 (pow y 2))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(* 2 (* x y))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* 2 (* x y))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 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)
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)))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
1/2
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* 1/2 (/ x y))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
1/2
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
1/2
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ 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)
(/ x y)
Outputs
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* y (+ (* 2 x) (* 2 y)))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x y)))
(* y (+ (* 2 x) (* 2 y)))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x y)))
(* y (+ (* 2 x) (* 2 y)))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x y)))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x y)))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x y)))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x y)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x y)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x y)))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x y)))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x y)))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x y)))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x y)))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x y)))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.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)
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)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

eval35.0ms (1.2%)

Memory
2.2MiB live, 80.9MiB allocated
Compiler

Compiled 3 157 to 387 computations (87.7% saved)

prune28.0ms (0.9%)

Memory
6.6MiB live, 81.8MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3294333
Fresh000
Picked134
Done000
Total3307337
Accuracy
100.0%
Counts
337 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶4.0%
(fma.f64 (+.f64 y y) x (+.f64 y y))
✓100.0%
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
✓46.8%
(/.f64 x (+.f64 y y))
▶3.7%
(*.f64 (+.f64 y y) y)
▶3.7%
(*.f64 (+.f64 y y) x)
▶4.1%
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
✓54.6%
#s(literal 1/2 binary64)
Compiler

Compiled 49 to 29 computations (40.8% saved)

simplify12.0ms (0.4%)

Memory
-9.6MiB live, 29.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 y y)
✓cost-diff64
(fma.f64 (+.f64 y y) x (+.f64 y y))
✓cost-diff0
(+.f64 y y)
✓cost-diff0
(*.f64 (+.f64 y y) y)
✓cost-diff0
(+.f64 y y)
✓cost-diff0
(*.f64 (+.f64 y y) x)
✓cost-diff0
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
✓cost-diff128
(*.f64 x #s(literal 2 binary64))
Rules
210×accelerator-lowering-fma.f32
210×accelerator-lowering-fma.f64
126×*-lowering-*.f32
126×*-lowering-*.f64
76×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0944
11742
24242
38542
412442
514642
619942
719942
019941
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (* x 2) y)
(* x 2)
x
2
y
(* (+ y y) x)
(+ y y)
y
x
(* (+ y y) y)
(+ y y)
y
(+ (* (+ y y) x) (+ y y))
(+ y y)
y
x
Outputs
(* (* x 2) y)
(*.f64 x (+.f64 y y))
(* x 2)
(+.f64 x x)
x
2
#s(literal 2 binary64)
y
(* (+ y y) x)
(*.f64 x (+.f64 y y))
(+ y y)
(+.f64 y y)
y
x
(* (+ y y) y)
(*.f64 y (+.f64 y y))
(+ y y)
(+.f64 y y)
y
(+ (* (+ y y) x) (+ y y))
(*.f64 #s(literal 2 binary64) (fma.f64 x y y))
(+ y y)
(+.f64 y y)
y
x

localize34.0ms (1.1%)

Memory
4.8MiB live, 57.8MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 (+.f64 y y) x (+.f64 y y))
✓accuracy100.0%
(+.f64 y y)
✓accuracy100.0%
(+.f64 y y)
✓accuracy100.0%
(*.f64 (+.f64 y y) y)
✓accuracy100.0%
(+.f64 y y)
✓accuracy100.0%
(*.f64 (+.f64 y y) x)
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy99.6%
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
Samples
22.0ms256×0valid
Compiler

Compiled 45 to 11 computations (75.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (68.9% of total)
ival-add: 2.0ms (23% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory
-28.3MiB live, 11.1MiB allocated
Counts
6 → 108
Calls
Call 1
Inputs
#<alt (* x 2)>
#<alt (* (* x 2) y)>
#<alt (* (+ y y) x)>
#<alt (+ y y)>
#<alt (* (+ y y) y)>
#<alt (+ (* (+ y y) x) (+ y y))>
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 (* 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 (* 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)>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* y (+ 2 (* 2 x)))>
#<alt (* y (+ 2 (* 2 x)))>
#<alt (* y (+ 2 (* 2 x)))>
#<alt (* y (+ 2 (* 2 x)))>
#<alt (* y (+ 2 (* 2 x)))>
#<alt (* y (+ 2 (* 2 x)))>
#<alt (* y (+ 2 (* 2 x)))>
#<alt (* y (+ 2 (* 2 x)))>
#<alt (* -1 (* y (- (* -2 x) 2)))>
#<alt (* -1 (* y (- (* -2 x) 2)))>
#<alt (* -1 (* y (- (* -2 x) 2)))>
#<alt (* -1 (* y (- (* -2 x) 2)))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (* x y)))>
#<alt (+ (* 2 y) (* 2 (* x y)))>
#<alt (+ (* 2 y) (* 2 (* x y)))>
#<alt (* 2 (* x y))>
#<alt (* x (+ (* 2 y) (* 2 (/ y x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ y x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ y x))))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))>
Calls

27 calls:

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

rewrite49.0ms (1.6%)

Memory
12.3MiB live, 91.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
584×accelerator-lowering-fma.f32
584×accelerator-lowering-fma.f64
212×*-lowering-*.f32
212×*-lowering-*.f64
114×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
13826
040225
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
6 → 220
Calls
Call 1
Inputs
(* x 2)
(* (* x 2) y)
(* (+ y y) x)
(+ y y)
(* (+ y y) y)
(+ (* (+ y y) x) (+ y y))
Outputs
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(+.f64 (*.f64 x (+.f64 y y)) (*.f64 x (+.f64 y y)))
(+.f64 (*.f64 (*.f64 x (+.f64 y y)) y) (*.f64 (*.f64 x (+.f64 y y)) y))
(+.f64 (*.f64 x y) (*.f64 x y))
(+.f64 (*.f64 y x) (*.f64 y x))
(fma.f64 x y (*.f64 x y))
(fma.f64 x (+.f64 y y) (*.f64 x (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) (*.f64 x (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (*.f64 x (+.f64 y y)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (*.f64 x (+.f64 y y)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 y y) (*.f64 x (+.f64 y y)))
(fma.f64 y x (*.f64 y x))
(fma.f64 y (*.f64 x #s(literal 2 binary64)) (*.f64 x (+.f64 y y)))
(fma.f64 y (*.f64 x (+.f64 y y)) (*.f64 x (+.f64 y y)))
(fma.f64 (+.f64 y y) x (*.f64 x (+.f64 y y)))
(fma.f64 (+.f64 y y) (*.f64 x (+.f64 y y)) (*.f64 x (+.f64 y y)))
(fma.f64 (*.f64 x (+.f64 y y)) y (*.f64 (*.f64 x (+.f64 y y)) y))
(fma.f64 (*.f64 x (+.f64 y y)) (+.f64 y y) (*.f64 x (+.f64 y y)))
(fma.f64 (*.f64 y x) #s(literal 2 binary64) (*.f64 x (+.f64 y y)))
(fma.f64 (*.f64 (*.f64 x (+.f64 y y)) #s(literal 2 binary64)) y (*.f64 x (+.f64 y y)))
(/.f64 (*.f64 (*.f64 x (+.f64 y y)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 x (+.f64 y y)) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 x (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) x) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(*.f64 x (+.f64 y y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 y y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 y (*.f64 x (+.f64 y y)))
(*.f64 (+.f64 y y) x)
(*.f64 (+.f64 y y) (*.f64 x (+.f64 y y)))
(*.f64 (*.f64 x (+.f64 y y)) (+.f64 y y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 x (+.f64 y y)) #s(literal 2 binary64)) y)
(+.f64 (*.f64 x (+.f64 y y)) (*.f64 x (+.f64 y y)))
(+.f64 (*.f64 (*.f64 x (+.f64 y y)) y) (*.f64 (*.f64 x (+.f64 y y)) y))
(+.f64 (*.f64 x y) (*.f64 x y))
(+.f64 (*.f64 y x) (*.f64 y x))
(fma.f64 x y (*.f64 x y))
(fma.f64 x (+.f64 y y) (*.f64 x (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) (*.f64 x (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (*.f64 x (+.f64 y y)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (*.f64 x (+.f64 y y)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 y y) (*.f64 x (+.f64 y y)))
(fma.f64 y x (*.f64 y x))
(fma.f64 y (*.f64 x #s(literal 2 binary64)) (*.f64 x (+.f64 y y)))
(fma.f64 y (*.f64 x (+.f64 y y)) (*.f64 x (+.f64 y y)))
(fma.f64 (+.f64 y y) x (*.f64 x (+.f64 y y)))
(fma.f64 (+.f64 y y) (*.f64 x (+.f64 y y)) (*.f64 x (+.f64 y y)))
(fma.f64 (*.f64 x (+.f64 y y)) y (*.f64 (*.f64 x (+.f64 y y)) y))
(fma.f64 (*.f64 x (+.f64 y y)) (+.f64 y y) (*.f64 x (+.f64 y y)))
(fma.f64 (*.f64 y x) #s(literal 2 binary64) (*.f64 x (+.f64 y y)))
(fma.f64 (*.f64 (*.f64 x (+.f64 y y)) #s(literal 2 binary64)) y (*.f64 x (+.f64 y y)))
(/.f64 (*.f64 (*.f64 x (+.f64 y y)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 x (+.f64 y y)) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 x (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) x) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(*.f64 x (+.f64 y y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 y y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 y (*.f64 x (+.f64 y y)))
(*.f64 (+.f64 y y) x)
(*.f64 (+.f64 y y) (*.f64 x (+.f64 y y)))
(*.f64 (*.f64 x (+.f64 y y)) (+.f64 y y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 x (+.f64 y y)) #s(literal 2 binary64)) y)
(+.f64 y y)
(+.f64 (+.f64 y y) (+.f64 y y))
(+.f64 (*.f64 y y) (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (+.f64 y y)) #s(literal 3 binary64)))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) y (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (+.f64 y y))
(fma.f64 y #s(literal 2 binary64) (+.f64 y y))
(fma.f64 y y (*.f64 y y))
(fma.f64 y (+.f64 y y) (+.f64 y y))
(fma.f64 (+.f64 y y) y (+.f64 y y))
(fma.f64 (+.f64 y y) (+.f64 y y) (+.f64 y y))
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (+.f64 y y))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (+.f64 y y))
(fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (+.f64 y y))
(fma.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (+.f64 y y))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (+.f64 y y))
(fma.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) y (+.f64 y y))
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (*.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))))
(/.f64 (*.f64 y (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (+.f64 y y) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) y) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (+.f64 y y)) #s(literal 0 binary64))
(pow.f64 (+.f64 y y) #s(literal 2 binary64))
(pow.f64 (+.f64 y y) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) (+.f64 y y))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(*.f64 y #s(literal 2 binary64))
(*.f64 y (+.f64 y y))
(*.f64 (+.f64 y y) y)
(*.f64 (+.f64 y y) (+.f64 y y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))
(*.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(*.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) y)
(+.f64 y y)
(+.f64 (+.f64 y y) (+.f64 y y))
(+.f64 (*.f64 y y) (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (+.f64 y y)) #s(literal 3 binary64)))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) y (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (+.f64 y y))
(fma.f64 y #s(literal 2 binary64) (+.f64 y y))
(fma.f64 y y (*.f64 y y))
(fma.f64 y (+.f64 y y) (+.f64 y y))
(fma.f64 (+.f64 y y) y (+.f64 y y))
(fma.f64 (+.f64 y y) (+.f64 y y) (+.f64 y y))
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (+.f64 y y))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (+.f64 y y))
(fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (+.f64 y y))
(fma.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (+.f64 y y))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (+.f64 y y))
(fma.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) y (+.f64 y y))
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (*.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))))
(/.f64 (*.f64 y (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (+.f64 y y) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) y) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (+.f64 y y)) #s(literal 0 binary64))
(pow.f64 (+.f64 y y) #s(literal 2 binary64))
(pow.f64 (+.f64 y y) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) (+.f64 y y))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(*.f64 y #s(literal 2 binary64))
(*.f64 y (+.f64 y y))
(*.f64 (+.f64 y y) y)
(*.f64 (+.f64 y y) (+.f64 y y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))
(*.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(*.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) y)
(+.f64 y (fma.f64 x (+.f64 y y) y))
(+.f64 (+.f64 y y) (*.f64 x (+.f64 y y)))
(+.f64 (*.f64 x (+.f64 y y)) (+.f64 y y))
(+.f64 (fma.f64 x (+.f64 y y) y) y)
(-.f64 (/.f64 (*.f64 (+.f64 y y) (*.f64 x x)) (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 y y) (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 x (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) y (*.f64 x (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (*.f64 x (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (+.f64 y y))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (+.f64 y y))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 y y) (+.f64 y y))
(fma.f64 y #s(literal 2 binary64) (*.f64 x (+.f64 y y)))
(fma.f64 y (*.f64 x #s(literal 2 binary64)) (+.f64 y y))
(fma.f64 y (+.f64 y y) (*.f64 x (+.f64 y y)))
(fma.f64 y (*.f64 x (+.f64 y y)) (+.f64 y y))
(fma.f64 (+.f64 y y) x (+.f64 y y))
(fma.f64 (+.f64 y y) y (*.f64 x (+.f64 y y)))
(fma.f64 (+.f64 y y) (+.f64 y y) (*.f64 x (+.f64 y y)))
(fma.f64 (+.f64 y y) (*.f64 x (+.f64 y y)) (+.f64 y y))
(fma.f64 (*.f64 x (+.f64 y y)) (+.f64 y y) (+.f64 y y))
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 x (+.f64 y y)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 x (+.f64 y y)))
(fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (*.f64 x (+.f64 y y)))
(fma.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (*.f64 x (+.f64 y y)))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (+.f64 y y)))
(fma.f64 (*.f64 y x) #s(literal 2 binary64) (+.f64 y y))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)) y y)
(fma.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) y (*.f64 x (+.f64 y y)))
(fma.f64 (*.f64 (*.f64 x (+.f64 y y)) #s(literal 2 binary64)) y (+.f64 y y))
(/.f64 (fma.f64 (*.f64 x (+.f64 y y)) (*.f64 (+.f64 y y) (*.f64 x x)) (+.f64 y y)) (-.f64 (fma.f64 x (*.f64 x (+.f64 y y)) (+.f64 y y)) (*.f64 x (+.f64 y y))))
(/.f64 (fma.f64 (*.f64 x (+.f64 y y)) (*.f64 (+.f64 y y) (*.f64 x x)) (+.f64 y y)) (+.f64 (+.f64 y y) (-.f64 (*.f64 (+.f64 y y) (*.f64 x x)) (*.f64 x (+.f64 y y)))))
(/.f64 (-.f64 (*.f64 (+.f64 y y) (*.f64 x x)) (+.f64 y y)) (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (+.f64 y y)) (*.f64 (+.f64 y y) (*.f64 x x)) (+.f64 y y))) (neg.f64 (-.f64 (fma.f64 x (*.f64 x (+.f64 y y)) (+.f64 y y)) (*.f64 x (+.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 y y) (*.f64 x x)) (+.f64 y y))) (neg.f64 (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y y) y) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (fma.f64 x (+.f64 y y) y) (fma.f64 x (+.f64 y y) y) (-.f64 (*.f64 y y) (*.f64 (fma.f64 x (+.f64 y y) y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (*.f64 x (+.f64 y y)) (+.f64 y y)) (*.f64 x (+.f64 y y))) (fma.f64 (*.f64 x (+.f64 y y)) (*.f64 (+.f64 y y) (*.f64 x x)) (+.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (+.f64 y y) (*.f64 x x)) (+.f64 y y))))
(/.f64 (-.f64 (+.f64 y y) (*.f64 (+.f64 y y) (*.f64 x x))) (-.f64 (+.f64 y y) (*.f64 x (+.f64 y y))))
(/.f64 (-.f64 (*.f64 (fma.f64 x (+.f64 y y) y) (fma.f64 x (+.f64 y y) y)) (*.f64 y y)) (-.f64 (fma.f64 x (+.f64 y y) y) y))
(*.f64 y (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(*.f64 (fma.f64 (*.f64 x (+.f64 y y)) (*.f64 (+.f64 y y) (*.f64 x x)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (+.f64 y y)) (+.f64 y y)) (*.f64 x (+.f64 y y)))))
(*.f64 (-.f64 (*.f64 (+.f64 y y) (*.f64 x x)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y y))

simplify201.0ms (6.6%)

Memory
16.4MiB live, 332.0MiB allocated
Algorithm
1×egg-herbie
Rules
5 328×accelerator-lowering-fma.f32
5 328×accelerator-lowering-fma.f64
3 150×*-lowering-*.f32
3 150×*-lowering-*.f64
1 068×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027532
179532
2193532
3396532
4759532
51667532
63767532
76035532
87796532
08023511
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
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 (* 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))
(* 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)
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* y (+ 2 (* 2 x)))
(* y (+ 2 (* 2 x)))
(* y (+ 2 (* 2 x)))
(* y (+ 2 (* 2 x)))
(* y (+ 2 (* 2 x)))
(* y (+ 2 (* 2 x)))
(* y (+ 2 (* 2 x)))
(* y (+ 2 (* 2 x)))
(* -1 (* y (- (* -2 x) 2)))
(* -1 (* y (- (* -2 x) 2)))
(* -1 (* y (- (* -2 x) 2)))
(* -1 (* y (- (* -2 x) 2)))
(* 2 y)
(+ (* 2 y) (* 2 (* x y)))
(+ (* 2 y) (* 2 (* x y)))
(+ (* 2 y) (* 2 (* x y)))
(* 2 (* x y))
(* x (+ (* 2 y) (* 2 (/ y x))))
(* x (+ (* 2 y) (* 2 (/ y x))))
(* x (+ (* 2 y) (* 2 (/ y x))))
(* 2 (* x y))
(* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))
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 (* 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 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)
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* 2 (pow y 2))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(* y (+ 2 (* 2 x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(* y (+ 2 (* 2 x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(* y (+ 2 (* 2 x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(* y (+ 2 (* 2 x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(* y (+ 2 (* 2 x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(* y (+ 2 (* 2 x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(* y (+ 2 (* 2 x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(* y (+ 2 (* 2 x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(* -1 (* y (- (* -2 x) 2)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(* -1 (* y (- (* -2 x) 2)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(* -1 (* y (- (* -2 x) 2)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(* -1 (* y (- (* -2 x) 2)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (* 2 (* x y)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(+ (* 2 y) (* 2 (* x y)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(+ (* 2 y) (* 2 (* x y)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* x (+ (* 2 y) (* 2 (/ y x))))
(*.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(* x (+ (* 2 y) (* 2 (/ y x))))
(*.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(* x (+ (* 2 y) (* 2 (/ y x))))
(*.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))

eval52.0ms (1.7%)

Memory
15.7MiB live, 132.1MiB allocated
Compiler

Compiled 5 195 to 411 computations (92.1% saved)

prune55.0ms (1.8%)

Memory
-21.1MiB live, 145.7MiB allocated
Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New5056511
Fresh000
Picked134
Done033
Total50612518
Accuracy
100.0%
Counts
518 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶3.3%
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
✓100.0%
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
✓46.8%
(/.f64 x (+.f64 y y))
▶3.3%
(+.f64 y y)
✓3.7%
(*.f64 (+.f64 y y) y)
✓3.7%
(*.f64 (+.f64 y y) x)
2.8%
(*.f64 (*.f64 (+.f64 y y) y) y)
▶4.1%
(*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 y y))
✓4.1%
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
▶3.7%
(*.f64 #s(literal 4 binary64) (*.f64 y y))
▶3.3%
(*.f64 #s(literal 2 binary64) (+.f64 y y))
✓54.6%
#s(literal 1/2 binary64)
Compiler

Compiled 133 to 83 computations (37.6% saved)

simplify11.0ms (0.3%)

Memory
-15.3MiB live, 24.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 y y)
✓cost-diff448
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(*.f64 #s(literal 4 binary64) (*.f64 y y))
✓cost-diff0
(+.f64 y y)
✓cost-diff192
(*.f64 #s(literal 2 binary64) (+.f64 y y))
✓cost-diff0
(+.f64 y y)
✓cost-diff0
(+.f64 y y)
✓cost-diff64
(*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 y y))
✓cost-diff128
(*.f64 x #s(literal 2 binary64))
Rules
138×accelerator-lowering-fma.f32
138×accelerator-lowering-fma.f64
128×*-lowering-*.f32
128×*-lowering-*.f64
66×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01150
13444
29144
315544
418044
519644
620444
020444
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (* x 2) (+ y y))
(* x 2)
x
2
(+ y y)
y
(+ y y)
y
(* 2 (+ y y))
2
(+ y y)
y
(* 4 (* y y))
4
(* y y)
y
(+ (* 2 (+ y y)) (+ y y))
2
(+ y y)
y
Outputs
(* (* x 2) (+ y y))
(*.f64 x (*.f64 y #s(literal 4 binary64)))
(* x 2)
(+.f64 x x)
x
2
#s(literal 2 binary64)
(+ y y)
(+.f64 y y)
y
(+ y y)
(+.f64 y y)
y
(* 2 (+ y y))
(*.f64 y #s(literal 4 binary64))
2
#s(literal 2 binary64)
(+ y y)
(+.f64 y y)
y
(* 4 (* y y))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
4
#s(literal 4 binary64)
(* y y)
(*.f64 y y)
y
(+ (* 2 (+ y y)) (+ y y))
(*.f64 y #s(literal 6 binary64))
2
#s(literal 2 binary64)
(+ y y)
(+.f64 y y)
y

localize37.0ms (1.2%)

Memory
18.6MiB live, 98.1MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
✓accuracy100.0%
(+.f64 y y)
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(*.f64 #s(literal 4 binary64) (*.f64 y y))
✓accuracy100.0%
(+.f64 y y)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (+.f64 y y))
✓accuracy100.0%
(+.f64 y y)
✓accuracy100.0%
(+.f64 y y)
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy99.6%
(*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 y y))
Samples
22.0ms256×0valid
Compiler

Compiled 55 to 13 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 8.0ms (72.3% of total)
ival-add: 2.0ms (18.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
7 → 96
Calls
Call 1
Inputs
#<alt (* x 2)>
#<alt (* (* x 2) (+ y y))>
#<alt (+ y y)>
#<alt (* 2 (+ y y))>
#<alt (* 4 (* y y))>
#<alt (* y y)>
#<alt (+ (* 2 (+ y y)) (+ y y))>
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 (* 4 (* x y))>
#<alt (* 4 (* x y))>
#<alt (* 4 (* x y))>
#<alt (* 4 (* x y))>
#<alt (* 4 (* x y))>
#<alt (* 4 (* x y))>
#<alt (* 4 (* x y))>
#<alt (* 4 (* x y))>
#<alt (* 4 (* x y))>
#<alt (* 4 (* x y))>
#<alt (* 4 (* x y))>
#<alt (* 4 (* x y))>
#<alt (* 4 (* x y))>
#<alt (* 4 (* x y))>
#<alt (* 4 (* x y))>
#<alt (* 4 (* x y))>
#<alt (* 4 (* x y))>
#<alt (* 4 (* x y))>
#<alt (* 4 (* x y))>
#<alt (* 4 (* x y))>
#<alt (* 4 (* x y))>
#<alt (* 4 (* x y))>
#<alt (* 4 (* x y))>
#<alt (* 4 (* 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)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 (pow y 2))>
#<alt (* 4 (pow y 2))>
#<alt (* 4 (pow y 2))>
#<alt (* 4 (pow y 2))>
#<alt (* 4 (pow y 2))>
#<alt (* 4 (pow y 2))>
#<alt (* 4 (pow y 2))>
#<alt (* 4 (pow y 2))>
#<alt (* 4 (pow y 2))>
#<alt (* 4 (pow y 2))>
#<alt (* 4 (pow y 2))>
#<alt (* 4 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
Calls

24 calls:

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

rewrite74.0ms (2.4%)

Memory
-21.6MiB live, 176.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
452×accelerator-lowering-fma.f32
452×accelerator-lowering-fma.f64
160×*-lowering-*.f32
160×*-lowering-*.f64
76×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01125
15423
054823
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
7 → 673
Calls
Call 1
Inputs
(* x 2)
(* (* x 2) (+ y y))
(+ y y)
(* 2 (+ y y))
(* 4 (* y y))
(* y y)
(+ (* 2 (+ y y)) (+ y y))
Outputs
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(+.f64 (*.f64 x (+.f64 y y)) (*.f64 x (+.f64 y y)))
(fma.f64 x (+.f64 y y) (*.f64 x (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) (*.f64 x (+.f64 y y)) (*.f64 x (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) (*.f64 x (+.f64 y y)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (*.f64 x (+.f64 y y)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 y y) (*.f64 x (+.f64 y y)))
(fma.f64 y (*.f64 x #s(literal 2 binary64)) (*.f64 x (+.f64 y y)))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 y y)))
(fma.f64 (+.f64 y y) x (*.f64 x (+.f64 y y)))
(fma.f64 (+.f64 y y) (*.f64 x #s(literal 2 binary64)) (*.f64 x (+.f64 y y)))
(fma.f64 (*.f64 x (+.f64 y y)) #s(literal 2 binary64) (*.f64 x (+.f64 y y)))
(fma.f64 (*.f64 y x) #s(literal 2 binary64) (*.f64 x (+.f64 y y)))
(fma.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) y (*.f64 x (+.f64 y y)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (+.f64 y y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (+.f64 y y)) (*.f64 x (+.f64 y y)) (-.f64 (*.f64 (*.f64 x (+.f64 y y)) (*.f64 x (+.f64 y y))) (*.f64 (*.f64 x (+.f64 y y)) (*.f64 x (+.f64 y y))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y y)) (*.f64 x (+.f64 y y))) (*.f64 (*.f64 x (+.f64 y y)) (*.f64 x (+.f64 y y)))) (-.f64 (*.f64 x (+.f64 y y)) (*.f64 x (+.f64 y y))))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (*.f64 x #s(literal 2 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 x (+.f64 y y))
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 y y)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 y y))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 y (fma.f64 x #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 y y) x)
(*.f64 (+.f64 y y) (*.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x (+.f64 y y)) #s(literal 2 binary64))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) y)
(+.f64 y y)
(+.f64 y (+.f64 y (+.f64 y y)))
(+.f64 (+.f64 y y) (+.f64 y y))
(+.f64 (+.f64 y y) (neg.f64 (+.f64 y y)))
(+.f64 (+.f64 y y) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(+.f64 (+.f64 y y) (*.f64 #s(literal -2 binary64) y))
(+.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 #s(literal 3 binary64) y))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
(+.f64 (+.f64 y (+.f64 y y)) y)
(exp.f64 (*.f64 (log.f64 (+.f64 y y)) #s(literal 3 binary64)))
(-.f64 (+.f64 y y) (+.f64 y y))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(-.f64 (-.f64 (+.f64 y y) y) y)
(fma.f64 #s(literal 2 binary64) y (+.f64 y y))
(fma.f64 #s(literal 2 binary64) y (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) y (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 2 binary64) (-.f64 (+.f64 y y) y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (-.f64 (+.f64 y y) y) (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) (-.f64 (+.f64 y y) y) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) (-.f64 (+.f64 y y) y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 2 binary64) (+.f64 y (+.f64 y y)) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (+.f64 y (+.f64 y y)) (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y (+.f64 y y)) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y (+.f64 y y)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 y #s(literal 2 binary64) (+.f64 y y))
(fma.f64 y #s(literal 2 binary64) (neg.f64 (+.f64 y y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y))
(fma.f64 y (+.f64 y y) (+.f64 y y))
(fma.f64 y (+.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 y (+.f64 y y) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 y (+.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 y #s(literal 4 binary64) (+.f64 y y))
(fma.f64 y #s(literal 4 binary64) (neg.f64 (+.f64 y y)))
(fma.f64 y #s(literal 4 binary64) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 y #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) y))
(fma.f64 y #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(fma.f64 (+.f64 y y) #s(literal 2 binary64) (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 2 binary64) (neg.f64 (+.f64 y y)))
(fma.f64 (+.f64 y y) #s(literal 2 binary64) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 (+.f64 y y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (+.f64 y y) y (+.f64 y y))
(fma.f64 (+.f64 y y) y (neg.f64 (+.f64 y y)))
(fma.f64 (+.f64 y y) y (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 (+.f64 y y) y (*.f64 #s(literal -2 binary64) y))
(fma.f64 (+.f64 y y) (+.f64 y y) (+.f64 y y))
(fma.f64 (+.f64 y y) (+.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 (+.f64 y y) (+.f64 y y) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 (+.f64 y y) (+.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (+.f64 y y) #s(literal 4 binary64) (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 4 binary64) (neg.f64 (+.f64 y y)))
(fma.f64 (+.f64 y y) #s(literal 4 binary64) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 (+.f64 y y) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (+.f64 y y) #s(literal 3 binary64) (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 3 binary64) (neg.f64 (+.f64 y y)))
(fma.f64 (+.f64 y y) #s(literal 3 binary64) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 (+.f64 y y) #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (+.f64 y y) #s(literal 8 binary64) (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 8 binary64) (neg.f64 (+.f64 y y)))
(fma.f64 (+.f64 y y) #s(literal 8 binary64) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 (+.f64 y y) #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 4 binary64) y (+.f64 y y))
(fma.f64 #s(literal 4 binary64) y (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 4 binary64) y (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 #s(literal 4 binary64) y (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 4 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 4 binary64) (+.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 4 binary64) (+.f64 y y) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 #s(literal 4 binary64) (+.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (+.f64 y y))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (neg.f64 (+.f64 y y)))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 3 binary64) y (*.f64 #s(literal 3 binary64) y))
(fma.f64 #s(literal 3 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 3 binary64) (+.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 3 binary64) (+.f64 y y) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 #s(literal 3 binary64) (+.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (+.f64 y y))
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (neg.f64 (+.f64 y y)))
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (+.f64 y y))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 8 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 8 binary64) (+.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 8 binary64) (+.f64 y y) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 #s(literal 8 binary64) (+.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (+.f64 y y))
(fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (+.f64 y y))
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(fma.f64 (+.f64 y y) #s(literal 2 binary64) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 (+.f64 y y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (+.f64 y y) y (+.f64 y y))
(fma.f64 (+.f64 y y) y (neg.f64 (+.f64 y y)))
(fma.f64 (+.f64 y y) y (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 (+.f64 y y) y (*.f64 #s(literal -2 binary64) y))
(fma.f64 (+.f64 y y) (+.f64 y y) (+.f64 y y))
(fma.f64 (+.f64 y y) (+.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 (+.f64 y y) (+.f64 y y) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 (+.f64 y y) (+.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (+.f64 y y) #s(literal 4 binary64) (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 4 binary64) (neg.f64 (+.f64 y y)))
(fma.f64 (+.f64 y y) #s(literal 4 binary64) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 (+.f64 y y) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (+.f64 y y) #s(literal 3 binary64) (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 3 binary64) (neg.f64 (+.f64 y y)))
(fma.f64 (+.f64 y y) #s(literal 3 binary64) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 (+.f64 y y) #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (+.f64 y y) #s(literal 8 binary64) (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 8 binary64) (neg.f64 (+.f64 y y)))
(fma.f64 (+.f64 y y) #s(literal 8 binary64) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 (+.f64 y y) #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 4 binary64) y (+.f64 y y))
(fma.f64 #s(literal 4 binary64) y (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 4 binary64) y (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 #s(literal 4 binary64) y (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 4 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 4 binary64) (+.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 4 binary64) (+.f64 y y) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 #s(literal 4 binary64) (+.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (+.f64 y y))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (neg.f64 (+.f64 y y)))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 3 binary64) y (*.f64 #s(literal 3 binary64) y))
(fma.f64 #s(literal 3 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 3 binary64) (+.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 3 binary64) (+.f64 y y) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 #s(literal 3 binary64) (+.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (+.f64 y y))
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (neg.f64 (+.f64 y y)))
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (+.f64 y y))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 8 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 8 binary64) (+.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 8 binary64) (+.f64 y y) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 #s(literal 8 binary64) (+.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (+.f64 y y))
(fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (+.f64 y y))
(fma.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (neg.f64 (+.f64 y y)))
(fma.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 6 binary64) y (+.f64 y y))
(fma.f64 #s(literal 6 binary64) y (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 6 binary64) y (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 #s(literal 6 binary64) y (*.f64 #s(literal -2 binary64) y))
(/.f64 (+.f64 y y) (+.f64 y y))
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))))
(/.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 0 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)))) (*.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (*.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 y (+.f64 y y)) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (+.f64 y (+.f64 y y)) (+.f64 y (+.f64 y y)) (-.f64 (*.f64 y y) (*.f64 (+.f64 y (+.f64 y y)) y))))
(/.f64 (neg.f64 (+.f64 y y)) (neg.f64 (+.f64 y y)))
(/.f64 (-.f64 (*.f64 (+.f64 y (+.f64 y y)) (+.f64 y (+.f64 y y))) (*.f64 y y)) (-.f64 (+.f64 y (+.f64 y y)) y))
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (+.f64 y y) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (+.f64 y y)) #s(literal 0 binary64))
(pow.f64 (+.f64 y y) #s(literal 2 binary64))
(pow.f64 (+.f64 y y) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) (+.f64 y y))
(*.f64 #s(literal 2 binary64) (-.f64 (+.f64 y y) y))
(*.f64 #s(literal 2 binary64) (+.f64 y (+.f64 y y)))
(*.f64 y #s(literal 2 binary64))
(*.f64 y (+.f64 y y))
(*.f64 y #s(literal 4 binary64))
(*.f64 (+.f64 y y) #s(literal 2 binary64))
(*.f64 (+.f64 y y) y)
(*.f64 (+.f64 y y) (+.f64 y y))
(*.f64 (+.f64 y y) #s(literal 4 binary64))
(*.f64 (+.f64 y y) #s(literal 3 binary64))
(*.f64 (+.f64 y y) #s(literal 8 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) (+.f64 y y))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 4 binary64))
(*.f64 #s(literal 3 binary64) (+.f64 y y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 8 binary64) (+.f64 y y))
(*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))
(*.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)))
(*.f64 #s(literal 6 binary64) y)

simplify18.0ms (0.6%)

Memory
12.0MiB live, 50.9MiB allocated
Algorithm
1×egg-herbie
Rules
46×*-lowering-*.f32
46×*-lowering-*.f64
18×*-commutative
6×associate-*r*
6×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013360
123360
230360
030360
Stop Event
1×iter limit
1×saturated
Counts
96 → 96
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)
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* 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)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 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)
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(* 4 (* x y))
(*.f64 x (*.f64 #s(literal 4 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)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 (pow y 2))
(*.f64 y (*.f64 #s(literal 4 binary64) y))
(* 4 (pow y 2))
(*.f64 y (*.f64 #s(literal 4 binary64) y))
(* 4 (pow y 2))
(*.f64 y (*.f64 #s(literal 4 binary64) y))
(* 4 (pow y 2))
(*.f64 y (*.f64 #s(literal 4 binary64) y))
(* 4 (pow y 2))
(*.f64 y (*.f64 #s(literal 4 binary64) y))
(* 4 (pow y 2))
(*.f64 y (*.f64 #s(literal 4 binary64) y))
(* 4 (pow y 2))
(*.f64 y (*.f64 #s(literal 4 binary64) y))
(* 4 (pow y 2))
(*.f64 y (*.f64 #s(literal 4 binary64) y))
(* 4 (pow y 2))
(*.f64 y (*.f64 #s(literal 4 binary64) y))
(* 4 (pow y 2))
(*.f64 y (*.f64 #s(literal 4 binary64) y))
(* 4 (pow y 2))
(*.f64 y (*.f64 #s(literal 4 binary64) y))
(* 4 (pow y 2))
(*.f64 y (*.f64 #s(literal 4 binary64) y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))

eval177.0ms (5.8%)

Memory
0.2MiB live, 469.4MiB allocated
Compiler

Compiled 16 448 to 908 computations (94.5% saved)

prune169.0ms (5.5%)

Memory
-17.7MiB live, 358.1MiB allocated
Pruning

14 alts after pruning (6 fresh and 8 done)

PrunedKeptTotal
New1 44851 453
Fresh011
Picked325
Done066
Total1 451141 465
Accuracy
100.0%
Counts
1 465 → 14
Alt Table
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StatusAccuracyProgram
3.3%
(fma.f64 (+.f64 y y) #s(literal 8 binary64) (+.f64 y y))
✓100.0%
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
✓46.8%
(/.f64 x (+.f64 y y))
✓3.3%
(+.f64 y y)
✓3.7%
(*.f64 (+.f64 y y) y)
✓3.7%
(*.f64 (+.f64 y y) x)
3.3%
(*.f64 (+.f64 y y) #s(literal 8 binary64))
2.8%
(*.f64 (*.f64 (+.f64 y y) y) y)
✓4.1%
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
3.3%
(*.f64 y #s(literal 6 binary64))
3.7%
(*.f64 x (*.f64 #s(literal 4 binary64) y))
✓3.7%
(*.f64 #s(literal 4 binary64) (*.f64 y y))
3.3%
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 y y) #s(literal 8 binary64)))
✓54.6%
#s(literal 1/2 binary64)
Compiler

Compiled 212 to 95 computations (55.2% saved)

regimes21.0ms (0.7%)

Memory
16.0MiB live, 52.2MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(+.f64 y y)
(*.f64 y #s(literal 6 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 y y))
(*.f64 (+.f64 y y) #s(literal 8 binary64))
(*.f64 (+.f64 y y) x)
(*.f64 (+.f64 y y) y)
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 (+.f64 y y) (+.f64 x y))
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 8 binary64) (+.f64 y y))
(fma.f64 (+.f64 y y) x (+.f64 y y))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 y y) #s(literal 8 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 y y))
(*.f64 (*.f64 (+.f64 y y) y) y)
(/.f64 x (+.f64 y y))
(/.f64 (+.f64 x y) (+.f64 y y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
Outputs
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
Calls

3 calls:

9.0ms
y
6.0ms
x
5.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes19.0ms (0.6%)

Memory
13.8MiB live, 52.8MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(+.f64 y y)
(*.f64 y #s(literal 6 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 y y))
(*.f64 (+.f64 y y) #s(literal 8 binary64))
(*.f64 (+.f64 y y) x)
(*.f64 (+.f64 y y) y)
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 (+.f64 y y) (+.f64 x y))
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 8 binary64) (+.f64 y y))
(fma.f64 (+.f64 y y) x (+.f64 y y))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 y y) #s(literal 8 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 y y))
(*.f64 (*.f64 (+.f64 y y) y) y)
(/.f64 x (+.f64 y y))
(/.f64 (+.f64 x y) (+.f64 y y))
Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
Calls

3 calls:

6.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
6.0ms
y
6.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes20.0ms (0.7%)

Memory
-31.7MiB live, 50.2MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(+.f64 y y)
(*.f64 y #s(literal 6 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 y y))
(*.f64 (+.f64 y y) #s(literal 8 binary64))
(*.f64 (+.f64 y y) x)
(*.f64 (+.f64 y y) y)
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 (+.f64 y y) (+.f64 x y))
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 8 binary64) (+.f64 y y))
(fma.f64 (+.f64 y y) x (+.f64 y y))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 y y) #s(literal 8 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 y y))
(*.f64 (*.f64 (+.f64 y y) y) y)
(/.f64 x (+.f64 y y))
Outputs
(/.f64 x (+.f64 y y))
#s(literal 1/2 binary64)
(/.f64 x (+.f64 y y))
Calls

3 calls:

8.0ms
x
5.0ms
y
5.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
Results
AccuracySegmentsBranch
80.4%3x
76.2%3y
98.1%3(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes17.0ms (0.6%)

Memory
10.3MiB live, 49.2MiB allocated
Accuracy

Total -33.8b remaining (-116.4%)

Threshold costs -33.8b (-116.4%)

Counts
17 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(+.f64 y y)
(*.f64 y #s(literal 6 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 y y))
(*.f64 (+.f64 y y) #s(literal 8 binary64))
(*.f64 (+.f64 y y) x)
(*.f64 (+.f64 y y) y)
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(*.f64 x (*.f64 #s(literal 4 binary64) y))
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 (+.f64 y y) (+.f64 x y))
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 8 binary64) (+.f64 y y))
(fma.f64 (+.f64 y y) x (+.f64 y y))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 y y) #s(literal 8 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 y y))
(*.f64 (*.f64 (+.f64 y y) y) y)
Outputs
#s(literal 1/2 binary64)
Calls

3 calls:

6.0ms
y
5.0ms
x
5.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
Results
AccuracySegmentsBranch
54.6%1y
54.6%1x
54.6%1(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.5114219593778593
2714972632606.0117
0.0ms
-2149.293950321667
0.0
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify7.0ms (0.2%)

Memory
18.8MiB live, 18.8MiB allocated
Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
2×1-exp_binary64
2×if-if-or-not_binary32
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01541
12241
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 (+.f64 x y) (+.f64 y y))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -2000 binary64)) (/.f64 x (+.f64 y y)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 x (+.f64 y y))))
#s(literal 1/2 binary64)
Outputs
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 (+.f64 x y) (+.f64 y y))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -2000 binary64)) (/.f64 x (+.f64 y y)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 x (+.f64 y y))))
#s(literal 1/2 binary64)

soundness405.0ms (13.2%)

Memory
-16.4MiB live, 177.6MiB allocated
Rules
4 752×accelerator-lowering-fma.f32
4 752×accelerator-lowering-fma.f64
2 672×*-lowering-*.f32
2 672×*-lowering-*.f64
1 714×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034240
195240
2195240
3539240
42494240
54900240
66147240
77103240
87625240
08012222
Stop Event
1×fuel
1×iter limit
1×node limit
Compiler

Compiled 68 to 30 computations (55.9% saved)

preprocess43.0ms (1.4%)

Memory
16.9MiB live, 97.5MiB allocated
Compiler

Compiled 130 to 52 computations (60% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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