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

Time bar (total: 3.7s)

analyze13.0ms (0.4%)

Memory
-17.2MiB live, 27.9MiB 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)

sample499.0ms (13.5%)

Memory
33.6MiB live, 1 139.5MiB allocated
Samples
328.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 153.0ms
ival-add: 85.0ms (55.4% of total)
ival-div: 60.0ms (39.1% of total)
ival-true: 5.0ms (3.3% of total)
ival-assert: 3.0ms (2% of total)
Bogosity

preprocess101.0ms (2.7%)

Memory
-10.4MiB live, 65.4MiB 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)))

explain79.0ms (2.1%)

Memory
-1.3MiB live, 125.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 y y)
00-0-(/.f64 (+.f64 x y) (+.f64 y y))
00-0-y
00-0-(+.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
34.0ms512×0valid
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 (52.8% of total)
ival-div: 4.0ms (42.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify4.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB 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)

localize19.0ms (0.5%)

Memory
0.5MiB live, 39.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 y y)
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
Samples
13.0ms256×0valid
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 (43.8% of total)
ival-add: 2.0ms (43.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
-26.4MiB live, 12.6MiB 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
2.0ms
x
@-inf
(/ (+ x y) (+ y y))
1.0ms
y
@0
(/ (+ x y) (+ y y))
1.0ms
y
@0
(+ y y)
1.0ms
x
@inf
(/ (+ x y) (+ y y))
1.0ms
x
@0
(/ (+ x y) (+ y y))

rewrite58.0ms (1.6%)

Memory
12.8MiB live, 94.8MiB 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 (-.f64 #s(literal 0 binary64) (+.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 (-.f64 #s(literal 0 binary64) (+.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 (-.f64 #s(literal 0 binary64) (+.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))

simplify238.0ms (6.5%)

Memory
-6.2MiB live, 349.6MiB 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))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 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))
(* 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))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 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))
(* 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))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 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 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)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))

eval12.0ms (0.3%)

Memory
-9.0MiB live, 28.5MiB allocated
Compiler

Compiled 1 177 to 164 computations (86.1% saved)

prune9.0ms (0.2%)

Memory
26.9MiB live, 26.9MiB 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))
▶47.7%
(/.f64 x (+.f64 y y))
▶4.1%
(*.f64 (+.f64 y y) (+.f64 x y))
▶52.9%
#s(literal 1/2 binary64)
Compiler

Compiled 27 to 17 computations (37% saved)

simplify13.0ms (0.4%)

Memory
-33.4MiB live, 14.4MiB 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

localize32.0ms (0.9%)

Memory
19.8MiB live, 57.8MiB 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 x (+.f64 y y))
✓accuracy100.0%
(+.f64 y y)
✓accuracy100.0%
(+.f64 y y)
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(*.f64 (+.f64 y y) (+.f64 x y))
Samples
19.0ms256×0valid
Compiler

Compiled 40 to 12 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 4.0ms (37.5% of total)
ival-div: 3.0ms (28.1% of total)
ival-mult: 3.0ms (28.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
14.9MiB live, 14.9MiB 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
y
@inf
(/ x (+ y y))
0.0ms
x
@0
(/ x (+ y y))
0.0ms
y
@0
(/ x (+ y y))
0.0ms
x
@-inf
(* (+ y y) (+ x y))

rewrite76.0ms (2.1%)

Memory
-21.2MiB live, 97.3MiB 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 (-.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 y y)) (-.f64 #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 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 y y)) (-.f64 #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 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 y y)) (-.f64 #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 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 y y)) (-.f64 #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 (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y))
(/.f64 x y)
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)

simplify228.0ms (6.2%)

Memory
15.7MiB live, 283.3MiB 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))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* y (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (fma.f64 y (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (fma.f64 y (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (fma.f64 y (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(fma.f64 #s(literal 2 binary64) (fma.f64 y (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(fma.f64 #s(literal 2 binary64) (fma.f64 y (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(fma.f64 #s(literal 2 binary64) (fma.f64 y (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(fma.f64 #s(literal 2 binary64) (fma.f64 y (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(fma.f64 #s(literal 2 binary64) (fma.f64 y (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(fma.f64 #s(literal 2 binary64) (fma.f64 y (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(fma.f64 #s(literal 2 binary64) (fma.f64 y (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(fma.f64 #s(literal 2 binary64) (fma.f64 y (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(fma.f64 #s(literal 2 binary64) (fma.f64 y (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 y (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 y (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 y (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) #s(literal 0 binary64))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 y (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 y (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 y (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* 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)

eval38.0ms (1%)

Memory
-10.1MiB live, 69.7MiB allocated
Compiler

Compiled 3 259 to 391 computations (88% saved)

prune26.0ms (0.7%)

Memory
17.6MiB live, 55.5MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3303333
Fresh000
Picked134
Done000
Total3316337
Accuracy
100.0%
Counts
337 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶3.6%
(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))
✓47.7%
(/.f64 x (+.f64 y y))
▶3.3%
(*.f64 (+.f64 y y) y)
▶3.6%
(*.f64 (+.f64 y y) x)
✓52.9%
#s(literal 1/2 binary64)
Compiler

Compiled 42 to 24 computations (42.9% saved)

simplify11.0ms (0.3%)

Memory
16.7MiB live, 16.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 6 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)
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
0633
11331
23131
37831
411531
513731
619231
719231
019230
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (+ y y) x)
(+ y y)
y
x
(* (+ y y) y)
(+ y y)
y
(+ (* (+ y y) x) (+ y y))
(+ y y)
y
x
Outputs
(* (+ y y) x)
(*.f64 y (+.f64 x x))
(+ 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 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(+ y y)
(+.f64 y y)
y
x

localize31.0ms (0.9%)

Memory
-42.5MiB live, 43.6MiB allocated
Localize:

Found 6 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)
Samples
14.0ms256×0valid
Compiler

Compiled 34 to 8 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (50.3% of total)
ival-add: 2.0ms (33.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#<alt (* (+ y y) x)>
#<alt (+ y y)>
#<alt (* (+ y y) y)>
#<alt (+ (* (+ y y) x) (+ y y))>
Outputs
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 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

18 calls:

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

rewrite52.0ms (1.4%)

Memory
18.4MiB live, 92.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
420×accelerator-lowering-fma.f32
420×accelerator-lowering-fma.f64
174×*-lowering-*.f32
174×*-lowering-*.f64
114×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0620
13418
037218
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
4 → 157
Calls
Call 1
Inputs
(* (+ y y) x)
(+ y y)
(* (+ y y) y)
(+ (* (+ y y) x) (+ y y))
Outputs
(+.f64 (*.f64 (*.f64 (+.f64 y y) x) y) (*.f64 (*.f64 (+.f64 y y) x) y))
(+.f64 (*.f64 x y) (*.f64 x y))
(+.f64 (*.f64 y x) (*.f64 y x))
(+.f64 (*.f64 y (*.f64 (+.f64 y y) x)) (*.f64 y (*.f64 (+.f64 y y) x)))
(fma.f64 y x (*.f64 y x))
(fma.f64 y (*.f64 (+.f64 y y) x) (*.f64 y (*.f64 (+.f64 y y) x)))
(fma.f64 x y (*.f64 x y))
(fma.f64 (*.f64 (+.f64 y y) x) y (*.f64 (*.f64 (+.f64 y y) x) 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 (+.f64 y 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 (+.f64 y y) 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 y y) x)
(*.f64 (+.f64 y y) (*.f64 (+.f64 y y) x))
(*.f64 x (+.f64 y y))
(*.f64 (*.f64 (+.f64 y y) x) (+.f64 y y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 (*.f64 (*.f64 (+.f64 y y) x) #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 y y (*.f64 y y))
(fma.f64 y (+.f64 y y) (+.f64 y y))
(fma.f64 y #s(literal 2 binary64) (+.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 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 #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 3 binary64))
(pow.f64 (+.f64 y y) #s(literal 2 binary64))
(*.f64 y (+.f64 y y))
(*.f64 y #s(literal 2 binary64))
(*.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 2 binary64) y)
(*.f64 #s(literal 2 binary64) (+.f64 y y))
(*.f64 #s(literal 2 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 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 y y (*.f64 y y))
(fma.f64 y (+.f64 y y) (+.f64 y y))
(fma.f64 y #s(literal 2 binary64) (+.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 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 #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 3 binary64))
(pow.f64 (+.f64 y y) #s(literal 2 binary64))
(*.f64 y (+.f64 y y))
(*.f64 y #s(literal 2 binary64))
(*.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 2 binary64) y)
(*.f64 #s(literal 2 binary64) (+.f64 y y))
(*.f64 #s(literal 2 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 4 binary64) (*.f64 y y))
(*.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) y)
(+.f64 y (fma.f64 (+.f64 y y) x y))
(+.f64 (+.f64 y y) (*.f64 (+.f64 y y) x))
(+.f64 (*.f64 (+.f64 y y) x) (+.f64 y y))
(+.f64 (fma.f64 (+.f64 y y) x y) y)
(-.f64 (/.f64 (*.f64 x (*.f64 (+.f64 y y) x)) (fma.f64 (+.f64 y y) x (*.f64 #s(literal -2 binary64) y))) (/.f64 (+.f64 y y) (fma.f64 (+.f64 y y) x (*.f64 #s(literal -2 binary64) y))))
(fma.f64 y (+.f64 y y) (*.f64 (+.f64 y 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) (+.f64 y y) (*.f64 (+.f64 y y) x))
(fma.f64 (+.f64 y y) x (+.f64 y y))
(fma.f64 (+.f64 y y) (*.f64 (+.f64 y y) x) (+.f64 y y))
(fma.f64 x (+.f64 y y) (+.f64 y y))
(fma.f64 (*.f64 (+.f64 y y) 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 2 binary64) 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 y) (*.f64 (+.f64 y y) x))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (+.f64 y y))
(fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y y) x))
(fma.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (*.f64 (+.f64 y y) x))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (+.f64 y y) x))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (+.f64 y y))
(fma.f64 (*.f64 (*.f64 (+.f64 y y) x) #s(literal 2 binary64)) y (+.f64 y y))
(fma.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) y (*.f64 (+.f64 y y) x))
(/.f64 (fma.f64 (*.f64 (+.f64 y y) x) (*.f64 x (*.f64 (+.f64 y y) x)) (+.f64 y y)) (-.f64 (fma.f64 x (*.f64 (+.f64 y y) x) (+.f64 y y)) (*.f64 (+.f64 y y) x)))
(/.f64 (fma.f64 (*.f64 (+.f64 y y) x) (*.f64 x (*.f64 (+.f64 y y) x)) (+.f64 y y)) (fma.f64 y #s(literal 2 binary64) (-.f64 (*.f64 x (*.f64 (+.f64 y y) x)) (*.f64 (+.f64 y y) x))))
(/.f64 (-.f64 (*.f64 x (*.f64 (+.f64 y y) x)) (+.f64 y y)) (fma.f64 (+.f64 y y) x (*.f64 #s(literal -2 binary64) y)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 y y) x) (*.f64 x (*.f64 (+.f64 y y) x)) (+.f64 y y))) (neg.f64 (-.f64 (fma.f64 x (*.f64 (+.f64 y y) x) (+.f64 y y)) (*.f64 (+.f64 y y) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 (+.f64 y y) x)) (+.f64 y y))) (neg.f64 (fma.f64 (+.f64 y y) x (*.f64 #s(literal -2 binary64) y))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 y y) x y) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (fma.f64 (+.f64 y y) x y) (fma.f64 (+.f64 y y) x y) (-.f64 (*.f64 y y) (*.f64 (fma.f64 (+.f64 y y) x y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (*.f64 (+.f64 y y) x) (+.f64 y y)) (*.f64 (+.f64 y y) x)) (fma.f64 (*.f64 (+.f64 y y) x) (*.f64 x (*.f64 (+.f64 y y) x)) (+.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 y y) x (*.f64 #s(literal -2 binary64) y)) (-.f64 (*.f64 x (*.f64 (+.f64 y y) x)) (+.f64 y y))))
(/.f64 (-.f64 (+.f64 y y) (*.f64 x (*.f64 (+.f64 y y) x))) (-.f64 (+.f64 y y) (*.f64 (+.f64 y y) x)))
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 y y) x y) (fma.f64 (+.f64 y y) x y)) (*.f64 y y)) (-.f64 (fma.f64 (+.f64 y y) x y) y))
(*.f64 (fma.f64 (*.f64 (+.f64 y y) x) (*.f64 x (*.f64 (+.f64 y y) x)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 (+.f64 y y) x) (+.f64 y y)) (*.f64 (+.f64 y y) x))))
(*.f64 (-.f64 (*.f64 x (*.f64 (+.f64 y y) x)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y y) x (*.f64 #s(literal -2 binary64) y))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y y))

simplify292.0ms (7.9%)

Memory
16.8MiB live, 258.7MiB 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
027376
179376
2193376
3396376
4757376
51662376
63770376
76049376
87818376
08046355
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 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 y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* 2 x)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* 2 x)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* 2 x)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* 2 x)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* 2 x)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* 2 x)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* 2 x)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* 2 x)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (* -2 x) 2)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (* -2 x) 2)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (* -2 x) 2)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (* -2 x) 2)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(+ (* 2 y) (* 2 (* x y)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))
(+ (* 2 y) (* 2 (* x y)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))
(+ (* 2 y) (* 2 (* x y)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* 2 y) (* 2 (/ y x))))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (+ (* 2 y) (* 2 (/ y x))))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (+ (* 2 y) (* 2 (/ y x))))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64))

eval130.0ms (3.5%)

Memory
1.0MiB live, 75.7MiB allocated
Compiler

Compiled 4 599 to 391 computations (91.5% saved)

prune49.0ms (1.3%)

Memory
-3.0MiB live, 119.1MiB allocated
Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New4066412
Fresh000
Picked123
Done033
Total40711418
Accuracy
100.0%
Counts
418 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶3.0%
(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))
✓47.7%
(/.f64 x (+.f64 y y))
▶3.0%
(+.f64 y y)
✓3.3%
(*.f64 (+.f64 y y) y)
✓3.6%
(*.f64 (+.f64 y y) x)
2.5%
(*.f64 (*.f64 (+.f64 y y) y) y)
▶3.6%
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)) x)
▶3.3%
(*.f64 #s(literal 4 binary64) (*.f64 y y))
▶3.0%
(*.f64 #s(literal 2 binary64) (+.f64 y y))
✓52.9%
#s(literal 1/2 binary64)
Compiler

Compiled 126 to 78 computations (38.1% saved)

simplify11.0ms (0.3%)

Memory
-18.0MiB live, 21.4MiB 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-diff0
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)) x)
✓cost-diff192
(*.f64 #s(literal 2 binary64) (+.f64 y y))
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
01052
12944
27944
315244
418144
519744
620544
020544
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (* 2 (+ y y)) x)
(* 2 (+ y y))
2
(+ y y)
y
x
(+ 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
(* (* 2 (+ y y)) x)
(*.f64 y (*.f64 x #s(literal 4 binary64)))
(* 2 (+ y y))
(*.f64 y #s(literal 4 binary64))
2
#s(literal 2 binary64)
(+ y y)
(+.f64 y y)
y
x
(+ 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 y (*.f64 y #s(literal 4 binary64)))
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

localize42.0ms (1.1%)

Memory
-5.3MiB live, 97.3MiB 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 (*.f64 #s(literal 2 binary64) (+.f64 y y)) x)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (+.f64 y y))
Samples
20.0ms256×0valid
Compiler

Compiled 57 to 12 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (66.8% of total)
ival-add: 2.0ms (22.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
6 → 84
Calls
Call 1
Inputs
#<alt (* 2 (+ y y))>
#<alt (* (* 2 (+ y y)) x)>
#<alt (+ y y)>
#<alt (* 4 (* y y))>
#<alt (* y y)>
#<alt (+ (* 2 (+ y y)) (+ y y))>
Outputs
#<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 (* 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 (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

21 calls:

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

rewrite433.0ms (11.7%)

Memory
-30.0MiB live, 87.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
436×accelerator-lowering-fma.f32
436×accelerator-lowering-fma.f64
140×*-lowering-*.f32
140×*-lowering-*.f64
68×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01030
14920
051420
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
6 → 657
Calls
Call 1
Inputs
(* 2 (+ y y))
(* (* 2 (+ y y)) x)
(+ y y)
(* 4 (* y y))
(* y y)
(+ (* 2 (+ y y)) (+ y y))
Outputs
(+.f64 y y)
(+.f64 y (fma.f64 #s(literal 2 binary64) 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 (fma.f64 #s(literal 2 binary64) 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) (fma.f64 #s(literal 2 binary64) y y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) y y) (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) y y) (*.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) 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))
(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 (fma.f64 #s(literal 2 binary64) y y) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (fma.f64 #s(literal 2 binary64) y y) (fma.f64 #s(literal 2 binary64) y y) (-.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 2 binary64) y y) y))))
(/.f64 (neg.f64 (+.f64 y y)) (neg.f64 (+.f64 y y)))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y y) (fma.f64 #s(literal 2 binary64) y y)) (*.f64 y y)) (-.f64 (fma.f64 #s(literal 2 binary64) y y) y))
(/.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 #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 (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))
(/.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)))
(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) (fma.f64 #s(literal 2 binary64) 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)
(+.f64 (*.f64 (+.f64 y y) x) (*.f64 (+.f64 y y) x))
(fma.f64 #s(literal 2 binary64) (*.f64 (+.f64 y y) x) (*.f64 (+.f64 y y) x))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (*.f64 (+.f64 y y) x))
(fma.f64 (+.f64 y y) x (*.f64 (+.f64 y y) x))
(fma.f64 (+.f64 y y) (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 y y) x))
(fma.f64 x (+.f64 y y) (*.f64 (+.f64 y y) x))
(fma.f64 (*.f64 (+.f64 y y) x) #s(literal 2 binary64) (*.f64 (+.f64 y y) x))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 y y) (*.f64 (+.f64 y y) x))
(/.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 #s(literal 2 binary64) (*.f64 (+.f64 y y) x))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 (+.f64 y y) x)
(*.f64 (+.f64 y y) (*.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 y y))
(*.f64 (*.f64 (+.f64 y y) x) #s(literal 2 binary64))
(*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 y y))
(+.f64 y y)
(+.f64 y (fma.f64 #s(literal 2 binary64) 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 (fma.f64 #s(literal 2 binary64) 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))
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(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)))
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(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 (fma.f64 #s(literal 2 binary64) y y) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (fma.f64 #s(literal 2 binary64) y y) (fma.f64 #s(literal 2 binary64) y y) (-.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 2 binary64) y y) y))))
(/.f64 (neg.f64 (+.f64 y y)) (neg.f64 (+.f64 y y)))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y y) (fma.f64 #s(literal 2 binary64) y y)) (*.f64 y y)) (-.f64 (fma.f64 #s(literal 2 binary64) y y) y))
(/.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 #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 (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))
(/.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)))
(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) (fma.f64 #s(literal 2 binary64) 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)

simplify41.0ms (1.1%)

Memory
-1.1MiB live, 40.1MiB allocated
Algorithm
1×egg-herbie
Rules
42×*-lowering-*.f32
42×*-lowering-*.f64
16×*-commutative
6×associate-*r*
6×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012324
121324
228324
028324
Stop Event
1×iter limit
1×saturated
Counts
84 → 84
Calls
Call 1
Inputs
(* 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 (* 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 (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
(* 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 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 4 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 4 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 4 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 4 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 4 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 4 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 4 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 4 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 4 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 4 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 4 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 4 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 4 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 4 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 4 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 4 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 4 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 4 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 4 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 4 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 4 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 4 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 4 (* x y))
(*.f64 #s(literal 4 binary64) (*.f64 y x))
(* 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))
(* 4 (pow y 2))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(* 4 (pow y 2))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(* 4 (pow y 2))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(* 4 (pow y 2))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(* 4 (pow y 2))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(* 4 (pow y 2))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(* 4 (pow y 2))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(* 4 (pow y 2))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(* 4 (pow y 2))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(* 4 (pow y 2))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(* 4 (pow y 2))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(* 4 (pow y 2))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 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))

eval398.0ms (10.8%)

Memory
52.1MiB live, 309.3MiB allocated
Compiler

Compiled 17 997 to 1 039 computations (94.2% saved)

prune189.0ms (5.1%)

Memory
-6.5MiB live, 355.7MiB allocated
Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New1 59061 596
Fresh011
Picked325
Done055
Total1 593141 607
Accuracy
100.0%
Counts
1 607 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.0%
(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))
✓47.7%
(/.f64 x (+.f64 y y))
✓3.0%
(+.f64 y y)
✓3.3%
(*.f64 (+.f64 y y) y)
✓3.6%
(*.f64 (+.f64 y y) x)
3.0%
(*.f64 (+.f64 y y) #s(literal 8 binary64))
2.5%
(*.f64 (*.f64 (+.f64 y y) y) y)
3.6%
(*.f64 (*.f64 (+.f64 y y) #s(literal 8 binary64)) x)
3.6%
(*.f64 (*.f64 #s(literal 6 binary64) y) x)
3.0%
(*.f64 y #s(literal 6 binary64))
✓3.3%
(*.f64 #s(literal 4 binary64) (*.f64 y y))
3.0%
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 y y) #s(literal 8 binary64)))
✓52.9%
#s(literal 1/2 binary64)
Compiler

Compiled 216 to 95 computations (56% saved)

regimes24.0ms (0.6%)

Memory
-12.6MiB live, 63.5MiB 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 (*.f64 #s(literal 6 binary64) y) x)
(*.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 #s(literal 2 binary64) (+.f64 y y)) x)
(*.f64 (*.f64 (+.f64 y y) #s(literal 8 binary64)) x)
(*.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:

8.0ms
x
8.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
6.0ms
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)

regimes21.0ms (0.6%)

Memory
9.0MiB live, 47.7MiB 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 (*.f64 #s(literal 6 binary64) y) x)
(*.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 #s(literal 2 binary64) (+.f64 y y)) x)
(*.f64 (*.f64 (+.f64 y y) #s(literal 8 binary64)) x)
(*.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:

8.0ms
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)

regimes24.0ms (0.7%)

Memory
-9.9MiB live, 34.5MiB 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 (*.f64 #s(literal 6 binary64) y) x)
(*.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 #s(literal 2 binary64) (+.f64 y y)) x)
(*.f64 (*.f64 (+.f64 y y) #s(literal 8 binary64)) x)
(*.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:

13.0ms
y
6.0ms
x
5.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
Results
AccuracySegmentsBranch
80.3%3x
75.4%3y
97.1%3(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes18.0ms (0.5%)

Memory
-2.4MiB live, 35.6MiB allocated
Accuracy

Total -32.8b remaining (-108.7%)

Threshold costs -32.8b (-108.7%)

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 (*.f64 #s(literal 6 binary64) y) x)
(*.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 #s(literal 2 binary64) (+.f64 y y)) x)
(*.f64 (*.f64 (+.f64 y y) #s(literal 8 binary64)) x)
(*.f64 (*.f64 (+.f64 y y) y) y)
Outputs
#s(literal 1/2 binary64)
Calls

3 calls:

7.0ms
y
5.0ms
x
5.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
Results
AccuracySegmentsBranch
52.9%1y
52.9%1x
52.9%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
0.5023143876418085
4.904298279462607
0.0ms
-24008.593502844262
0.4290242592308212
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify7.0ms (0.2%)

Memory
16.2MiB live, 16.2MiB 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 -20000 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 -20000 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)

soundness408.0ms (11.1%)

Memory
-12.4MiB live, 142.0MiB 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)

preprocess37.0ms (1%)

Memory
24.4MiB live, 101.6MiB allocated
Compiler

Compiled 130 to 52 computations (60% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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