Examples.Basics.BasicTests:f2 from sbv-4.4

Time bar (total: 8.4s)

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample637.0ms (7.6%)

Memory
-26.2MiB live, 969.8MiB allocated
Samples
480.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 207.0ms
ival-mult: 136.0ms (65.8% of total)
ival-sub: 62.0ms (30% of total)
ival-true: 5.0ms (2.4% of total)
ival-assert: 3.0ms (1.5% of total)
Bogosity

preprocess960.0ms (11.5%)

Memory
31.2MiB live, 909.3MiB allocated
Algorithm
egg-herbie
Rules
24 584×accelerator-lowering-fma.f32
24 584×accelerator-lowering-fma.f64
5 200×+-lowering-+.f64
5 200×+-lowering-+.f32
3 904×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01445
15442
215142
338342
488242
5123542
6176142
7234742
8414342
9475142
10486442
11497842
12505842
13505842
14643942
15741542
16789942
17791542
18791542
057
1137
2247
3507
41137
53167
65877
712557
825437
942097
1050797
1154487
1256787
1357927
1457927
1567527
1669127
1772327
1872327
1976327
2077927
2178727
2278727
2378727
0103357
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(- (* x x) (* y y))
Outputs
(- (* x x) (* y y))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
Call 2
Inputs
(- (* x x) (* y y))
(- (* (neg x) (neg x)) (* y y))
(- (* x x) (* (neg y) (neg y)))
(neg (- (* (neg x) (neg x)) (* y y)))
(neg (- (* x x) (* (neg y) (neg y))))
(- (* y y) (* x x))
Outputs
(- (* x x) (* y y))
(- (* (neg x) (neg x)) (* y y))
(- (* x x) (* y y))
(- (* x x) (* (neg y) (neg y)))
(- (* x x) (* y y))
(neg (- (* (neg x) (neg x)) (* y y)))
(- (* y y) (* x x))
(neg (- (* x x) (* (neg y) (neg y))))
(- (* y y) (* x x))
(- (* y y) (* x x))
Symmetry

(abs x)

(abs y)

explain302.0ms (3.6%)

Memory
-17.6MiB live, 101.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
140-0-(-.f64 (*.f64 x x) (*.f64 y y))
00-0-y
00-0-(*.f64 y y)
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 x x) (*.f64 y y))nan-rescue140
(*.f64 x x)overflow60
(*.f64 y y)overflow59
Confusion
Predicted +Predicted -
+140
-0242
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1400
-00242
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0242
114
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
184.0ms512×0valid
Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-mult: 95.0ms (95.4% of total)
ival-sub: 4.0ms (4% of total)
ival-true: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.5%
(-.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify1.7s (20.9%)

Memory
-1.4MiB live, 718.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 y y)
cost-diff-64
(*.f64 x x)
cost-diff192
(-.f64 (*.f64 x x) (*.f64 y y))
Rules
24 584×accelerator-lowering-fma.f32
24 584×accelerator-lowering-fma.f64
5 200×+-lowering-+.f64
5 200×+-lowering-+.f32
3 904×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
11315
22415
35015
411315
531615
658715
7125515
8254315
9420915
10507915
11544815
12567815
13579215
14579215
15675215
16691215
17723215
18723215
19763215
20779215
21787215
22787215
23787215
01033515
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (* x x) (* y y))
(* x x)
x
(* y y)
y
Outputs
(- (* x x) (* y y))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
(* y y)
(fma.f64 y y #s(literal 0 binary64))
y

localize57.0ms (0.7%)

Memory
-28.2MiB live, 26.9MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(*.f64 x x)
accuracy95.2%
(-.f64 (*.f64 x x) (*.f64 y y))
Samples
10.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (63.7% of total)
ival-sub: 1.0ms (21.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Counts
3 → 48
Calls
Call 1
Inputs
#<alt (- (* x x) (* y y))>
#<alt (* x x)>
#<alt (* y y)>
Outputs
#<alt (* -1 (pow y 2))>
#<alt (- (pow x 2) (pow y 2))>
#<alt (- (pow x 2) (pow y 2))>
#<alt (- (pow x 2) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* -1 (pow y 2)) (pow x 2))>
#<alt (+ (* -1 (pow y 2)) (pow x 2))>
#<alt (+ (* -1 (pow y 2)) (pow x 2))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow y 2)>
#<alt (pow 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)>
Calls

12 calls:

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

rewrite440.0ms (5.3%)

Memory
38.7MiB live, 783.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 026×accelerator-lowering-fma.f32
8 026×accelerator-lowering-fma.f64
4 450×/-lowering-/.f32
4 450×/-lowering-/.f64
3 184×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
12913
221313
3196613
0878613
Stop Event
iter limit
node limit
Counts
3 → 252
Calls
Call 1
Inputs
(- (* x x) (* y y))
(* x x)
(* y y)
Outputs
(+.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 x x))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x x)))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x x))))))))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 y y (*.f64 x x))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 y y (*.f64 x x)))))
(+.f64 (*.f64 (+.f64 x y) x) (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) y))
(+.f64 (*.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) x))
(+.f64 (*.f64 x (+.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 x y)))
(+.f64 (*.f64 x (-.f64 x y)) (*.f64 y (-.f64 x y)))
(+.f64 (*.f64 y (-.f64 x y)) (*.f64 x (-.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))) #s(literal -1 binary64)))
(-.f64 (*.f64 x x) (*.f64 y y))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x x)))))) (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x x)))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 y y (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 y y (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 x x)))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y y (*.f64 x x))) (-.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x x)))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x x)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x x)))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x x)))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 y (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y y))))))) (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (fma.f64 y (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y y))))))))
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(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 x y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (+.f64 x y)) (*.f64 x (+.f64 x y)) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 x y))) (*.f64 (*.f64 x (+.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 x y))))))
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(/.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (-.f64 x y)) (*.f64 y (-.f64 x y)) (-.f64 (*.f64 (*.f64 x (-.f64 x y)) (*.f64 x (-.f64 x y))) (*.f64 (*.f64 y (-.f64 x y)) (*.f64 x (-.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64))
(*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x x)))))))
(*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x x))))) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x x))))))))
(*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x x))))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x x)))))))
(*.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y y (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))))
(*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y y (*.f64 x x))))
(*.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (-.f64 x y) (+.f64 x y))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x x))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y y (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 x x)))))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x x)))))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y y (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y y (*.f64 x x))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) (fma.f64 (*.f64 y (+.f64 x y)) (*.f64 y (-.f64 y x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y y (*.f64 x x)))) (*.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (fma.f64 y y (*.f64 x x)) (fma.f64 y y (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (fma.f64 (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x x)))) (-.f64 (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x x))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x x))))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x x))))) (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y y (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(*.f64 y y)
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y))

simplify419.0ms (5%)

Memory
-10.3MiB live, 545.2MiB allocated
Algorithm
egg-herbie
Rules
12 540×accelerator-lowering-fma.f32
12 540×accelerator-lowering-fma.f64
3 658×*-lowering-*.f32
3 658×*-lowering-*.f64
1 136×neg-lowering-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017219
139219
2113219
3468219
41684219
52832219
64991219
08406219
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* -1 (pow y 2))
(- (pow x 2) (pow y 2))
(- (pow x 2) (pow y 2))
(- (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(* -1 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow 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)
Outputs
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(- (pow x 2) (pow y 2))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(- (pow x 2) (pow y 2))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(- (pow x 2) (pow y 2))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (+.f64 y x) (-.f64 x y) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))

eval34.0ms (0.4%)

Memory
11.5MiB live, 86.1MiB allocated
Compiler

Compiled 16 299 to 752 computations (95.4% saved)

prune57.0ms (0.7%)

Memory
5.6MiB live, 86.2MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2973300
Fresh000
Picked101
Done000
Total2983301
Accuracy
100.0%
Counts
301 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.4%
(fma.f64 x x #s(literal 0 binary64))
55.9%
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
100.0%
(*.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify1.1s (13%)

Memory
-12.5MiB live, 1 421.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x #s(literal 0 binary64))
cost-diff0
(fma.f64 y y #s(literal 0 binary64))
cost-diff0
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
cost-diff-64
(*.f64 (-.f64 x y) (+.f64 x y))
cost-diff0
(+.f64 x y)
cost-diff0
(-.f64 x y)
Rules
45 136×accelerator-lowering-fma.f32
45 136×accelerator-lowering-fma.f64
5 168×*-lowering-*.f32
5 168×*-lowering-*.f64
2 602×distribute-rgt-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01129
12829
25829
312729
426429
560029
6110829
7227229
8303529
9341629
10354529
11362529
12365129
13365129
14375929
15423929
16440729
17445529
18451129
19454329
20454329
21454329
22639129
0823729
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (- x y) (+ x y))
(- x y)
x
y
(+ x y)
(- 0 (+ (* y y) 0))
0
(+ (* y y) 0)
y
(+ (* x x) 0)
x
0
Outputs
(* (- x y) (+ x y))
(fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64))
(- x y)
(-.f64 x y)
x
y
(+ x y)
(+.f64 x y)
(- 0 (+ (* y y) 0))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(+ (* y y) 0)
(fma.f64 y y #s(literal 0 binary64))
y
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)

localize74.0ms (0.9%)

Memory
23.0MiB live, 61.6MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x x #s(literal 0 binary64))
accuracy100.0%
(fma.f64 y y #s(literal 0 binary64))
accuracy100.0%
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
accuracy100.0%
(-.f64 x y)
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(*.f64 (-.f64 x y) (+.f64 x y))
Samples
63.0ms256×0valid
Compiler

Compiled 35 to 13 computations (62.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-sub: 46.0ms (84.7% of total)
ival-add: 4.0ms (7.4% of total)
ival-mult: 4.0ms (7.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated
Counts
6 → 108
Calls
Call 1
Inputs
#<alt (- x y)>
#<alt (+ x y)>
#<alt (* (- x y) (+ x y))>
#<alt (- 0 (+ (* y y) 0))>
#<alt (+ (* y y) 0)>
#<alt (+ (* x x) 0)>
Outputs
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt 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 (pow y 2))>
#<alt (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))>
#<alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))>
#<alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))>
#<alt (pow x 2)>
#<alt (+ (* y (+ x (* -1 x))) (pow x 2))>
#<alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))>
#<alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))>
#<alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))>
#<alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

27 calls:

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

rewrite512.0ms (6.1%)

Memory
-21.6MiB live, 857.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
10 546×accelerator-lowering-fma.f32
10 546×accelerator-lowering-fma.f64
4 808×*-lowering-*.f32
4 808×*-lowering-*.f64
4 104×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01123
18223
281523
0914623
Stop Event
iter limit
node limit
Counts
6 → 1 050
Calls
Call 1
Inputs
(- x y)
(+ x y)
(* (- x y) (+ x y))
(- 0 (+ (* y y) 0))
(+ (* y y) 0)
(+ (* x x) 0)
Outputs
(+.f64 x (-.f64 #s(literal 0 binary64) y))
(+.f64 (-.f64 #s(literal 0 binary64) y) x)
(+.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (+.f64 x y) (fma.f64 y y #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (+.f64 x y) (fma.f64 y y #s(literal 0 binary64))))))
(+.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x y)) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64)) (-.f64 x y))
(+.f64 (*.f64 (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 y (-.f64 y x))))
(+.f64 (*.f64 (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 y (-.f64 y x))) (*.f64 (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 (fma.f64 y (-.f64 y x) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))))
(+.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))))
(+.f64 (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(-.f64 x y)
(-.f64 (-.f64 x y) (/.f64 #s(literal 0 binary64) (+.f64 x y)))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (+.f64 x y) (fma.f64 y y #s(literal 0 binary64)))) (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (+.f64 x y) (fma.f64 y y #s(literal 0 binary64)))))
(-.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 x y)))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (fma.f64 y (-.f64 y x) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 x y))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))))
(fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (fma.f64 y y #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (+.f64 x y) (fma.f64 y y #s(literal 0 binary64))))))
(fma.f64 (*.f64 y (-.f64 y x)) (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64) (-.f64 x y))
(fma.f64 (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 y (-.f64 y x))))
(fma.f64 (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 y (-.f64 y x)) (*.f64 (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (fma.f64 x x #s(literal 0 binary64))))) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 x y))))
(fma.f64 (/.f64 x (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64))) (*.f64 x (-.f64 x y)) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 x y))))
(fma.f64 (/.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (fma.f64 x x #s(literal 0 binary64))))) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 x y))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (+.f64 x y)) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 x y))))
(fma.f64 (/.f64 x (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (*.f64 (fma.f64 x (+.f64 x y) (fma.f64 y y #s(literal 0 binary64))) (-.f64 x y)))) (/.f64 x (fma.f64 x (+.f64 x y) (fma.f64 y y #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 x y))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 x y))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 x y)) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 x y))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (*.f64 (fma.f64 x (+.f64 x y) (fma.f64 y y #s(literal 0 binary64))) (-.f64 x y)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (+.f64 x y) (fma.f64 y y #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 x y))))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (fma.f64 x x #s(literal 0 binary64))))) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 x y))))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 x y))))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (+.f64 x y)) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 x y))))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (*.f64 (fma.f64 x (+.f64 x y) (fma.f64 y y #s(literal 0 binary64))) (-.f64 x y)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (+.f64 x y) (fma.f64 y y #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 x y))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))
(neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)))
(/.f64 (*.f64 (fma.f64 x (+.f64 x y) (fma.f64 y y #s(literal 0 binary64))) (-.f64 x y)) (fma.f64 x (+.f64 x y) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64)) (+.f64 x y))
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(/.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 x (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (/.f64 x x) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 x x))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x))
(*.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))

simplify400.0ms (4.8%)

Memory
2.9MiB live, 692.3MiB allocated
Algorithm
egg-herbie
Rules
14 152×accelerator-lowering-fma.f32
14 152×accelerator-lowering-fma.f64
2 614×--lowering--.f32
2 614×--lowering--.f64
2 222×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
086429
1265369
2789369
33263369
08508369
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
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 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(pow x 2)
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(* -1 (pow y 2))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* y (+ x (* -1 x))) (pow x 2))
(fma.f64 x x #s(literal 0 binary64))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(fma.f64 (-.f64 x y) (+.f64 y x) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(* -1 (pow y 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))

eval192.0ms (2.3%)

Memory
-1.2MiB live, 263.7MiB allocated
Compiler

Compiled 34 514 to 2 242 computations (93.5% saved)

prune144.0ms (1.7%)

Memory
32.6MiB live, 354.3MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1 15621 158
Fresh000
Picked213
Done000
Total1 15831 161
Accuracy
100.0%
Counts
1 161 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.9%
(-.f64 #s(literal 0 binary64) (*.f64 y y))
100.0%
(*.f64 (-.f64 x y) (+.f64 x y))
54.4%
(*.f64 x x)
Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify8.0ms (0.1%)

Memory
-28.2MiB live, 8.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 y y)
cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 y y))
cost-diff0
(*.f64 x x)
Rules
16×+-lowering-+.f64
16×*-lowering-*.f32
16×*-lowering-*.f64
16×+-lowering-+.f32
14×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
11113
21813
32413
43313
54213
64513
75113
85213
05213
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* x x)
x
(- 0 (* y y))
0
(* y y)
y
Outputs
(* x x)
(*.f64 x x)
x
(- 0 (* y y))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
0
#s(literal 0 binary64)
(* y y)
(fma.f64 y y #s(literal 0 binary64))
y

localize54.0ms (0.6%)

Memory
7.8MiB live, 42.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 0 binary64) (*.f64 y y))
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(*.f64 x x)
Samples
48.0ms256×0valid
Compiler

Compiled 16 to 8 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (63.7% of total)
ival-sub: 1.0ms (21.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series0.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (* x x)>
#<alt (- 0 (* y y))>
#<alt (* y y)>
Outputs
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (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)>
Calls

9 calls:

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

rewrite270.0ms (3.2%)

Memory
13.7MiB live, 135.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
596×/-lowering-/.f32
596×/-lowering-/.f64
582×*-lowering-*.f32
582×*-lowering-*.f64
292×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
12710
219310
0189810
Stop Event
iter limit
iter limit
node limit
Counts
3 → 182
Calls
Call 1
Inputs
(* x x)
(- 0 (* y y))
(* y y)
Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(-.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) y #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))
(neg.f64 (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
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(/.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) y)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) y) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) y)) y)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 y (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (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)) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))))
(*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 y (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) y) (/.f64 (fma.f64 y y #s(literal 0 binary64)) y))
(*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) y) (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y y #s(literal 0 binary64)) y))
(*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) y))
(*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) y) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) y) (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) y) (/.f64 y y))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) y))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (/.f64 y y) (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) y))
(*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))))

simplify10.0ms (0.1%)

Memory
-15.9MiB live, 23.1MiB allocated
Algorithm
egg-herbie
Rules
16×+-lowering-+.f64
16×*-lowering-*.f32
16×*-lowering-*.f64
16×+-lowering-+.f32
14×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07120
111120
220120
322120
425120
532120
640120
748120
854120
955120
055120
Stop Event
iter limit
saturated
Counts
36 → 36
Calls
Call 1
Inputs
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (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)
Outputs
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))

eval22.0ms (0.3%)

Memory
23.6MiB live, 61.4MiB allocated
Compiler

Compiled 5 342 to 366 computations (93.1% saved)

prune28.0ms (0.3%)

Memory
-14.5MiB live, 64.4MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2180218
Fresh000
Picked022
Done011
Total2183221
Accuracy
100.0%
Counts
221 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.9%
(-.f64 #s(literal 0 binary64) (*.f64 y y))
100.0%
(*.f64 (-.f64 x y) (+.f64 x y))
54.4%
(*.f64 x x)
Compiler

Compiled 55 to 26 computations (52.7% saved)

regimes13.0ms (0.2%)

Memory
7.5MiB live, 46.3MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 x x)
(fma.f64 x x #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (-.f64 x y) (+.f64 x y))
(-.f64 (*.f64 x x) (*.f64 y y))
Outputs
(*.f64 (-.f64 x y) (+.f64 x y))
Calls

5 calls:

3.0ms
y
3.0ms
x
2.0ms
(*.f64 y y)
2.0ms
(-.f64 (*.f64 x x) (*.f64 y y))
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (*.f64 x x) (*.f64 y y))
100.0%1(*.f64 x x)
100.0%1(*.f64 y y)
Compiler

Compiled 25 to 15 computations (40% saved)

regimes88.0ms (1%)

Memory
-8.7MiB live, 28.8MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 x x)
(fma.f64 x x #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(*.f64 x x)
Calls

5 calls:

79.0ms
y
2.0ms
x
2.0ms
(*.f64 y y)
2.0ms
(-.f64 (*.f64 x x) (*.f64 y y))
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
83.6%2x
74.8%2y
96.7%2(-.f64 (*.f64 x x) (*.f64 y y))
83.6%2(*.f64 x x)
74.8%2(*.f64 y y)
Compiler

Compiled 25 to 15 computations (40% saved)

regimes7.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 x x)
(fma.f64 x x #s(literal 0 binary64))
Outputs
(*.f64 x x)
Calls

5 calls:

1.0ms
y
1.0ms
x
1.0ms
(-.f64 (*.f64 x x) (*.f64 y y))
1.0ms
(*.f64 y y)
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
54.4%1y
54.4%1(*.f64 y y)
54.4%1x
54.4%1(*.f64 x x)
54.4%1(-.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 25 to 15 computations (40% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.883335297839991e-285
0.0
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify8.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated
Algorithm
egg-herbie
Rules
10×+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
cancel-sign-sub-inv_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01327
12427
23227
33527
43627
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal -5357543035931337/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 x x))
(*.f64 x x)
Outputs
(*.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal -5357543035931337/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 x x))
(if (<=.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal -5357543035931337/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) y)) (*.f64 x x))
(*.f64 x x)

soundness720.0ms (8.6%)

Memory
-11.6MiB live, 434.3MiB allocated
Rules
12 540×accelerator-lowering-fma.f32
12 540×accelerator-lowering-fma.f64
10 546×accelerator-lowering-fma.f32
10 546×accelerator-lowering-fma.f64
8 026×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01123
18223
281523
0914623
0513
12913
221313
3196613
0878613
017219
139219
2113219
3468219
41684219
52832219
64991219
08406219
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 76 to 43 computations (43.4% saved)

preprocess71.0ms (0.8%)

Memory
-23.1MiB live, 94.1MiB allocated
Remove

(abs y)

(abs x)

Compiler

Compiled 114 to 58 computations (49.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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