AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, B

Time bar (total: 5.8s)

analyze17.0ms (0.3%)

Memory
-4.0MiB live, 32.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
76.6%76.5%23.4%0.1%0%0%0%7
82%82%18%0.1%0%0%0%8
87.9%87.8%12.1%0.1%0%0%0%9
90.8%90.7%9.2%0.1%0%0%0%10
93.8%93.8%6.1%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample462.0ms (7.9%)

Memory
-43.7MiB live, 715.2MiB allocated
Samples
291.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-div: 81.0ms (59.1% of total)
ival-add: 47.0ms (34.3% of total)
ival-true: 6.0ms (4.4% of total)
ival-assert: 3.0ms (2.2% of total)
Bogosity

preprocess24.0ms (0.4%)

Memory
13.6MiB live, 13.6MiB allocated
Algorithm
egg-herbie
Rules
198×times-frac
102×associate-*l*
84×div-sub
82×unsub-neg
68×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01436
13730
27430
315330
435130
559230
675630
778230
880930
982130
045
155
055
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ x (+ y x))
Outputs
(/ x (+ y x))
(/.f64 x (+.f64 x y))
Call 2
Inputs
(/ x (+ y x))
(/ (neg x) (+ y (neg x)))
(/ x (+ (neg y) x))
(neg (/ (neg x) (+ y (neg x))))
(neg (/ x (+ (neg y) x)))
(/ y (+ x y))
Outputs
(/ x (+ y x))
(/ x (+ x y))
(/ (neg x) (+ y (neg x)))
(/ x (- x y))
(/ x (+ (neg y) x))
(/ x (- x y))
(neg (/ (neg x) (+ y (neg x))))
(/ x (- y x))
(neg (/ x (+ (neg y) x)))
(/ x (- y x))
(/ y (+ x y))

explain69.0ms (1.2%)

Memory
-1.6MiB live, 37.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(/.f64 x (+.f64 y x))
00-0-(+.f64 y x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
18.0ms512×0valid
Compiler

Compiled 38 to 20 computations (47.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 5.0ms (63.3% of total)
ival-add: 3.0ms (38% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (+.f64 y x))
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify3.0ms (0.1%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y x)
cost-diff0
(/.f64 x (+.f64 y x))
Rules
+-lowering-+.f64
+-lowering-+.f32
/-lowering-/.f32
/-lowering-/.f64
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
1510
0510
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ x (+ y x))
x
(+ y x)
y
Outputs
(/ x (+ y x))
(/.f64 x (+.f64 x y))
x
(+ y x)
(+.f64 x y)
y

localize13.0ms (0.2%)

Memory
10.4MiB live, 10.4MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 y x)
accuracy100.0%
(/.f64 x (+.f64 y x))
Samples
9.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 2.0ms (58.9% of total)
ival-add: 1.0ms (29.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Counts
2 → 48
Calls
Call 1
Inputs
#<alt (/ x (+ y x))>
#<alt (+ y x)>
Outputs
#<alt (/ x y)>
#<alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))>
#<alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))>
#<alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))>
#<alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (/ (pow x 2) y))) y)>
#<alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)>
#<alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))>
#<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 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)))>
Calls

12 calls:

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

rewrite572.0ms (9.8%)

Memory
-23.7MiB live, 297.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 282×/-lowering-/.f32
5 282×/-lowering-/.f64
3 946×accelerator-lowering-fma.f32
3 946×accelerator-lowering-fma.f64
3 770×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
1268
21878
318308
086838
Stop Event
iter limit
node limit
Counts
2 → 315
Calls
Call 1
Inputs
(/ x (+ y x))
(+ y x)
Outputs
(+.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y y)) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x (-.f64 x y))))
(+.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x (-.f64 x y))) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) y) (*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 (*.f64 y y) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 x (-.f64 x y)) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 (*.f64 x (-.f64 x y)) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y y) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 y (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 (-.f64 #s(literal 0 binary64) x) y)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (-.f64 (-.f64 #s(literal 0 binary64) x) y)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x y)) (/.f64 x (-.f64 (-.f64 #s(literal 0 binary64) x) y)))
(-.f64 (/.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (*.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 y (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (/.f64 x (-.f64 (-.f64 #s(literal 0 binary64) x) y)) #s(literal 1 binary64)))
(fma.f64 y (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x)))))
(fma.f64 (*.f64 y y) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (-.f64 x y)) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(fma.f64 (*.f64 x (-.f64 x y)) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y y) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x (-.f64 x y))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x (-.f64 x y)) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y y)))
(fma.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) y (*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 x (-.f64 (-.f64 #s(literal 0 binary64) x) y)))
(/.f64 x (+.f64 x y))
(/.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x (-.f64 x y)) (-.f64 (*.f64 x (-.f64 x y)) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 x (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 x (-.f64 x y)) (*.f64 x (*.f64 (-.f64 x y) (*.f64 x (-.f64 x y)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) (*.f64 x (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (-.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 x y)) (*.f64 x (*.f64 (+.f64 x y) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (*.f64 x (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (-.f64 x y)) (-.f64 (*.f64 x (-.f64 x y)) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 x (-.f64 x y)) (*.f64 x (*.f64 (-.f64 x y) (*.f64 x (-.f64 x y)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y y) (*.f64 x (-.f64 x y))) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (-.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (+.f64 x y) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x)))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 x (-.f64 (-.f64 #s(literal 0 binary64) x) y)) #s(literal -1 binary64))
(/.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 (*.f64 x (fma.f64 x x (*.f64 y (-.f64 y x)))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 (+.f64 x y) (-.f64 y x)))
(/.f64 (*.f64 x (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 x (-.f64 x y)) (*.f64 x (*.f64 (-.f64 x y) (*.f64 x (-.f64 x y))))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x (-.f64 x y)) (-.f64 (*.f64 x (-.f64 x y)) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))))
(/.f64 (*.f64 x (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (-.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))))
(/.f64 (*.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 x y)))
(/.f64 (*.f64 x (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x x (*.f64 y (-.f64 y x))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 y x))) (*.f64 (+.f64 x y) (fma.f64 #s(literal -1 binary64) y x)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 (-.f64 #s(literal 0 binary64) x) y))
(/.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 x (-.f64 x y)) (*.f64 x (*.f64 (-.f64 x y) (*.f64 x (-.f64 x y))))))) (fma.f64 (*.f64 x (-.f64 x y)) (-.f64 (*.f64 x (-.f64 x y)) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))))
(/.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (-.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))) (-.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))
(/.f64 (*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (+.f64 x y) (-.f64 y x))) (+.f64 x y))
(/.f64 (*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) x)) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) x)) (*.f64 (+.f64 x y) (+.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 x y)) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (-.f64 #s(literal 0 binary64) x))) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) (+.f64 x y)))
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(*.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (neg.f64 (*.f64 (+.f64 x y) (fma.f64 #s(literal -1 binary64) y x))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)))) (*.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))))))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))))
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))
(*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))))
(*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y))))))
(*.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (+.f64 x y) (-.f64 y x))) (+.f64 x y))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 x (-.f64 x y)) (*.f64 x (*.f64 (-.f64 x y) (*.f64 x (-.f64 x y))))))) (fma.f64 (*.f64 x (-.f64 x y)) (-.f64 (*.f64 x (-.f64 x y)) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (-.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))) (-.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) y x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))))
(*.f64 (pow.f64 (/.f64 (-.f64 y x) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y))))))
(*.f64 (pow.f64 (/.f64 (-.f64 y x) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))

simplify392.0ms (6.7%)

Memory
-10.4MiB live, 269.5MiB allocated
Algorithm
egg-herbie
Rules
10 270×accelerator-lowering-fma.f32
10 270×accelerator-lowering-fma.f64
3 632×*-lowering-*.f32
3 632×*-lowering-*.f64
2 202×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124369
1369348
2945318
33730316
08248303
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
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)))
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)))
Outputs
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(*.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 x (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 x (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(*.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (*.f64 x (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (*.f64 x (*.f64 x x))) y)) y)) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(*.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (*.f64 x (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (*.f64 x (*.f64 x x))) y)) y)) y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)

eval42.0ms (0.7%)

Memory
23.1MiB live, 59.1MiB allocated
Compiler

Compiled 10 564 to 1 046 computations (90.1% saved)

prune103.0ms (1.8%)

Memory
-6.3MiB live, 76.3MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3585363
Fresh000
Picked011
Done000
Total3586364
Accuracy
100.0%
Counts
364 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.7%
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 (+.f64 x y) (-.f64 y x)))
100.0%
(/.f64 x (+.f64 y x))
49.5%
(/.f64 x y)
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))
51.7%
(-.f64 #s(literal 1 binary64) (/.f64 y x))
52.2%
#s(literal 1 binary64)
Compiler

Compiled 85 to 52 computations (38.8% saved)

simplify420.0ms (7.2%)

Memory
11.2MiB live, 410.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 x (-.f64 y x))
cost-diff0
(+.f64 x y)
cost-diff0
(-.f64 y x)
cost-diff1152
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 (+.f64 x y) (-.f64 y x)))
cost-diff0
(/.f64 y x)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 y x))
cost-diff0
(/.f64 x y)
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 (+.f64 x y) x)
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))
Rules
11 348×accelerator-lowering-fma.f32
11 348×accelerator-lowering-fma.f64
3 726×*-lowering-*.f32
3 726×*-lowering-*.f64
2 046×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01362
13162
28458
316758
460758
5412258
0819658
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (/ (+ x y) x))
1
(/ (+ x y) x)
(+ x y)
x
y
1
(/ x y)
x
y
(- 1 (/ y x))
1
(/ y x)
y
x
(/ (* x (- y x)) (* (+ x y) (- y x)))
(* x (- y x))
x
(- y x)
y
(* (+ x y) (- y x))
(+ x y)
Outputs
(/ 1 (/ (+ x y) x))
(/.f64 x (+.f64 x y))
1
#s(literal 1 binary64)
(/ (+ x y) x)
(/.f64 (+.f64 x y) x)
(+ x y)
(+.f64 x y)
x
y
1
#s(literal 1 binary64)
(/ x y)
(/.f64 x y)
x
y
(- 1 (/ y x))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
1
#s(literal 1 binary64)
(/ y x)
(/.f64 y x)
y
x
(/ (* x (- y x)) (* (+ x y) (- y x)))
(/.f64 x (+.f64 x y))
(* x (- y x))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
x
(- y x)
(-.f64 y x)
y
(* (+ x y) (- y x))
(fma.f64 (+.f64 x y) (-.f64 y x) #s(literal 0 binary64))
(+ x y)
(+.f64 x y)

localize45.0ms (0.8%)

Memory
-3.1MiB live, 78.2MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(*.f64 (+.f64 x y) (-.f64 y x))
accuracy100.0%
(*.f64 x (-.f64 y x))
accuracy59.5%
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 (+.f64 x y) (-.f64 y x)))
accuracy100.0%
(/.f64 y x)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(/.f64 (+.f64 x y) x)
accuracy100.0%
(+.f64 x y)
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))
Samples
30.0ms256×0valid
Compiler

Compiled 70 to 15 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 8.0ms (53.9% of total)
ival-mult: 3.0ms (20.2% of total)
ival-sub: 2.0ms (13.5% of total)
ival-add: 2.0ms (13.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-13.2MiB live, 25.6MiB allocated
Counts
10 → 240
Calls
Call 1
Inputs
#<alt (/ 1 (/ (+ x y) x))>
#<alt (/ (+ x y) x)>
#<alt (+ x y)>
#<alt (/ x y)>
#<alt (- 1 (/ y x))>
#<alt (/ y x)>
#<alt (/ (* x (- y x)) (* (+ x y) (- y x)))>
#<alt (- y x)>
#<alt (* x (- y x))>
#<alt (* (+ x y) (- y x))>
Outputs
#<alt (/ x y)>
#<alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))>
#<alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))>
#<alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))>
#<alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (/ (pow x 2) y))) y)>
#<alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)>
#<alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))>
#<alt (/ y x)>
#<alt (/ (+ x y) x)>
#<alt (/ (+ x y) x)>
#<alt (/ (+ x y) x)>
#<alt 1>
#<alt (+ 1 (/ y x))>
#<alt (+ 1 (/ y x))>
#<alt (+ 1 (/ y x))>
#<alt 1>
#<alt (+ 1 (/ y x))>
#<alt (+ 1 (/ y x))>
#<alt (+ 1 (/ y x))>
#<alt 1>
#<alt (+ 1 (/ y x))>
#<alt (+ 1 (/ y x))>
#<alt (+ 1 (/ y x))>
#<alt (/ y x)>
#<alt (* y (+ (/ 1 x) (/ 1 y)))>
#<alt (* y (+ (/ 1 x) (/ 1 y)))>
#<alt (* y (+ (/ 1 x) (/ 1 y)))>
#<alt (/ y x)>
#<alt (* y (+ (/ 1 x) (/ 1 y)))>
#<alt (* y (+ (/ 1 x) (/ 1 y)))>
#<alt (* y (+ (/ 1 x) (/ 1 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 (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (* -1 (/ y x))>
#<alt (* y (- (/ 1 y) (/ 1 x)))>
#<alt (* y (- (/ 1 y) (/ 1 x)))>
#<alt (* y (- (/ 1 y) (/ 1 x)))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 y))))>
#<alt (* -1 (/ y x))>
#<alt (/ (- x y) x)>
#<alt (/ (- x y) x)>
#<alt (/ (- x y) x)>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ x y)>
#<alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))>
#<alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))>
#<alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))>
#<alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (/ (pow x 2) y))) y)>
#<alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)>
#<alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))>
#<alt (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* x y)>
#<alt (* x (+ y (* -1 x)))>
#<alt (* x (+ y (* -1 x)))>
#<alt (* x (+ y (* -1 x)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ y x) 1))>
#<alt (* (pow x 2) (- (/ y x) 1))>
#<alt (* (pow x 2) (- (/ y x) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ y x) 1))>
#<alt (* (pow x 2) (- (/ y x) 1))>
#<alt (* (pow x 2) (- (/ y x) 1))>
#<alt (* -1 (pow x 2))>
#<alt (+ (* -1 (pow x 2)) (* x y))>
#<alt (+ (* -1 (pow x 2)) (* x y))>
#<alt (+ (* -1 (pow x 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ (pow x 2) y))))>
#<alt (* y (+ x (* -1 (/ (pow x 2) y))))>
#<alt (* y (+ x (* -1 (/ (pow x 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))>
#<alt (pow y 2)>
#<alt (+ (* x (+ y (* -1 y))) (pow y 2))>
#<alt (+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2))>
#<alt (+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (+ (* -1 (/ y x)) (/ y x)) 1))>
#<alt (* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1))>
#<alt (* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (+ (* -1 (pow x 2)) (* y (+ x (* -1 x))))>
#<alt (+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x)))))>
#<alt (+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y))))>
#<alt (* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))))>
#<alt (* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y))))>
Calls

60 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(- y x)
1.0ms
y
@-inf
(/ (+ x y) x)
0.0ms
x
@inf
(/ x y)
0.0ms
x
@-inf
(/ x y)
0.0ms
y
@-inf
(* x (- y x))

rewrite330.0ms (5.7%)

Memory
22.2MiB live, 618.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 920×*-lowering-*.f32
4 920×*-lowering-*.f64
4 624×accelerator-lowering-fma.f32
4 624×accelerator-lowering-fma.f64
3 686×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01348
19244
277544
0907144
Stop Event
iter limit
node limit
Counts
10 → 1 108
Calls
Call 1
Inputs
(/ 1 (/ (+ x y) x))
(/ (+ x y) x)
(+ x y)
(/ x y)
(- 1 (/ y x))
(/ y x)
(/ (* x (- y x)) (* (+ x y) (- y x)))
(- y x)
(* x (- y x))
(* (+ x y) (- y x))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x x)) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))))
(+.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) x) (*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (*.f64 y y)) (*.f64 (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (*.f64 x (+.f64 x y))))
(+.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (*.f64 x (+.f64 x y))) (*.f64 (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (*.f64 y y)))
(+.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (*.f64 x y)))
(+.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) x) (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) y))
(+.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) y) (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) x))
(+.f64 (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 (*.f64 y (-.f64 y x)) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 x (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y)))))
(+.f64 (*.f64 (*.f64 y y) (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) (*.f64 (*.f64 x (+.f64 x y)) (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))))
(+.f64 (*.f64 (*.f64 x (+.f64 x y)) (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) (*.f64 (*.f64 y y) (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))))
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) (*.f64 (*.f64 x y) (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))))
(+.f64 (*.f64 x (*.f64 (/.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) (*.f64 y (*.f64 (/.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))))
(+.f64 (*.f64 y (*.f64 (/.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) (*.f64 x (*.f64 (/.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 y (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 x (*.f64 (/.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (*.f64 y (*.f64 (/.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))))
(fma.f64 y (*.f64 (/.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (*.f64 x (*.f64 (/.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(fma.f64 (*.f64 y y) (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (*.f64 (*.f64 x (+.f64 x y)) (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))))
(fma.f64 (*.f64 y (-.f64 y x)) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x)))))
(fma.f64 (*.f64 x (+.f64 x y)) (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (*.f64 (*.f64 y y) (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (*.f64 (*.f64 x y) (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x x) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x)) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x x)))
(fma.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) x (*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (*.f64 y y) (*.f64 (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (*.f64 x (+.f64 x y))))
(fma.f64 (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (*.f64 x (+.f64 x y)) (*.f64 (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 (/.f64 x (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (*.f64 x y)))
(fma.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) x (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) y))
(fma.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) y (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) x))
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(neg.f64 (/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (/.f64 (*.f64 x (-.f64 y x)) (-.f64 y x))))
(/.f64 x (+.f64 x y))
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 (+.f64 x y) (-.f64 y x)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (*.f64 x (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 x (-.f64 y x)) (+.f64 x y)) (-.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 x y))) #s(literal -1 binary64))
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simplify453.0ms (7.8%)

Memory
-8.8MiB live, 752.3MiB allocated
Algorithm
egg-herbie
Rules
17 940×accelerator-lowering-fma.f32
17 940×accelerator-lowering-fma.f64
4 116×*-lowering-*.f32
4 116×*-lowering-*.f64
2 206×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01981435
16211319
216861251
377911247
082531217
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/ y x)
(/ (+ x y) x)
(/ (+ x y) x)
(/ (+ x y) x)
1
(+ 1 (/ y x))
(+ 1 (/ y x))
(+ 1 (/ y x))
1
(+ 1 (/ y x))
(+ 1 (/ y x))
(+ 1 (/ y x))
1
(+ 1 (/ y x))
(+ 1 (/ y x))
(+ 1 (/ y x))
(/ y x)
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(/ y x)
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 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)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
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(/ x y)
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(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
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(/ x y)
(/ x y)
(/ x y)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(* -1 (/ y x))
(* y (- (/ 1 y) (/ 1 x)))
(* y (- (/ 1 y) (/ 1 x)))
(* y (- (/ 1 y) (/ 1 x)))
(* -1 (/ y x))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(* -1 (/ y x))
(/ (- x y) x)
(/ (- x y) x)
(/ (- x y) x)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* x y)
(* x (+ y (* -1 x)))
(* x (+ y (* -1 x)))
(* x (+ y (* -1 x)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ y x) 1))
(* (pow x 2) (- (/ y x) 1))
(* (pow x 2) (- (/ y x) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ y x) 1))
(* (pow x 2) (- (/ y x) 1))
(* (pow x 2) (- (/ y x) 1))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* x y))
(+ (* -1 (pow x 2)) (* x y))
(+ (* -1 (pow x 2)) (* x y))
(* x y)
(* y (+ x (* -1 (/ (pow x 2) y))))
(* y (+ x (* -1 (/ (pow x 2) y))))
(* y (+ x (* -1 (/ (pow x 2) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))
(* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))
(* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))
(pow y 2)
(+ (* x (+ y (* -1 y))) (pow y 2))
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2))
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2))
(* -1 (pow x 2))
(* (pow x 2) (- (+ (* -1 (/ y x)) (/ y x)) 1))
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1))
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* y (+ x (* -1 x))))
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x)))))
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x)))))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y))))
Outputs
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 x (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 x (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
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(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (fma.f64 y (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 0 binary64)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (fma.f64 y (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 0 binary64)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (fma.f64 y (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 0 binary64)) x)) x))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (/.f64 x y) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))) x) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y)) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (/.f64 x y) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y)) y)
(/ y x)
(/.f64 y x)
(/ (+ x y) x)
(/.f64 (+.f64 x y) x)
(/ (+ x y) x)
(/.f64 (+.f64 x y) x)
(/ (+ x y) x)
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1
#s(literal 1 binary64)
(+ 1 (/ y x))
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1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
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1
#s(literal 1 binary64)
(+ 1 (/ y x))
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(/ y x)
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(/ y x)
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(* y (+ (/ 1 x) (/ 1 y)))
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y
(+ x y)
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x
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x
(* -1 (* x (- (* -1 (/ y x)) 1)))
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x
(+ x y)
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y
(* y (+ 1 (/ x y)))
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y
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(+.f64 x y)
(/ x y)
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
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(-.f64 #s(literal 1 binary64) (/.f64 y x))
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(* -1 (/ y x))
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(/ (- x y) x)
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(/ (- x y) x)
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(/ (- x y) x)
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
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(/ y x)
(/.f64 y x)
(/ y x)
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(/ y x)
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(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 x (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 x (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (fma.f64 y (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 0 binary64)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (fma.f64 y (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 0 binary64)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (fma.f64 y (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 0 binary64)) x)) x))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (/.f64 x y) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))) x) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y)) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (/.f64 x y) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y)) y)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
y
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (* -1 x)))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* x (+ y (* -1 x)))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* x (+ y (* -1 x)))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ y x) 1))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (- (/ y x) 1))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (- (/ y x) 1))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ y x) 1))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (- (/ y x) 1))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (- (/ y x) 1))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -1 (pow x 2)) (* x y))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(+ (* -1 (pow x 2)) (* x y))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(+ (* -1 (pow x 2)) (* x y))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (* -1 (/ (pow x 2) y))))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* y (+ x (* -1 (/ (pow x 2) y))))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* y (+ x (* -1 (/ (pow x 2) y))))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(+ (* x (+ y (* -1 y))) (pow y 2))
(fma.f64 y y #s(literal 0 binary64))
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2))
(fma.f64 (+.f64 x y) (-.f64 y x) #s(literal 0 binary64))
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2))
(fma.f64 (+.f64 x y) (-.f64 y x) #s(literal 0 binary64))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (+ (* -1 (/ y x)) (/ y x)) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1))
(fma.f64 x (*.f64 x (fma.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))) #s(literal 0 binary64))
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1))
(fma.f64 x (*.f64 x (fma.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))) #s(literal 0 binary64))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1))
(fma.f64 x (*.f64 x (fma.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))) #s(literal 0 binary64))
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1))
(fma.f64 x (*.f64 x (fma.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))) #s(literal 0 binary64))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -1 (pow x 2)) (* y (+ x (* -1 x))))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x)))))
(fma.f64 (+.f64 x y) (-.f64 y x) #s(literal 0 binary64))
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x)))))
(fma.f64 (+.f64 x y) (-.f64 y x) #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y))))
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))))
(fma.f64 (+.f64 x y) (-.f64 y x) #s(literal 0 binary64))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))))
(fma.f64 (+.f64 x y) (-.f64 y x) #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y))))
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y))))
(fma.f64 (+.f64 x y) (-.f64 y x) #s(literal 0 binary64))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y))))
(fma.f64 (+.f64 x y) (-.f64 y x) #s(literal 0 binary64))

eval169.0ms (2.9%)

Memory
-2.3MiB live, 388.5MiB allocated
Compiler

Compiled 33 993 to 2 828 computations (91.7% saved)

prune136.0ms (2.3%)

Memory
27.7MiB live, 304.0MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1 53111 532
Fresh000
Picked145
Done011
Total1 53261 538
Accuracy
100.0%
Counts
1 538 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.6%
(/.f64 (*.f64 x (-.f64 y x)) (fma.f64 y y #s(literal 0 binary64)))
100.0%
(/.f64 x (+.f64 y x))
49.5%
(/.f64 x y)
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))
51.7%
(-.f64 #s(literal 1 binary64) (/.f64 y x))
52.2%
#s(literal 1 binary64)
Compiler

Compiled 43 to 28 computations (34.9% saved)

simplify627.0ms (10.8%)

Memory
5.6MiB live, 607.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 x (-.f64 y x))
cost-diff0
(fma.f64 y y #s(literal 0 binary64))
cost-diff0
(-.f64 y x)
cost-diff0
(/.f64 (*.f64 x (-.f64 y x)) (fma.f64 y y #s(literal 0 binary64)))
Rules
21 984×accelerator-lowering-fma.f32
21 984×accelerator-lowering-fma.f64
2 440×/-lowering-/.f32
2 440×/-lowering-/.f64
2 384×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
11523
23823
36623
412423
528723
654023
7164323
8323723
9399323
10449323
11463823
12471823
13476823
14486823
15518223
16577023
17640423
18641023
19642223
20642223
21642223
0924923
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (* x (- y x)) (+ (* y y) 0))
(* x (- y x))
x
(- y x)
y
(+ (* y y) 0)
0
Outputs
(/ (* x (- y x)) (+ (* y y) 0))
(fma.f64 x (/.f64 (-.f64 y x) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))
(* x (- y x))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
x
(- y x)
(-.f64 y x)
y
(+ (* y y) 0)
(fma.f64 y y #s(literal 0 binary64))
0
#s(literal 0 binary64)

localize22.0ms (0.4%)

Memory
-25.4MiB live, 17.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 y y #s(literal 0 binary64))
accuracy100.0%
(-.f64 y x)
accuracy100.0%
(*.f64 x (-.f64 y x))
accuracy71.3%
(/.f64 (*.f64 x (-.f64 y x)) (fma.f64 y y #s(literal 0 binary64)))
Samples
14.0ms256×0valid
Compiler

Compiled 27 to 10 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (41.9% of total)
ival-sub: 1.0ms (14% of total)
ival-div: 1.0ms (14% of total)
ival-add: 1.0ms (14% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
3.4MiB live, 3.4MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#<alt (/ (* x (- y x)) (+ (* y y) 0))>
#<alt (- y x)>
#<alt (+ (* y y) 0)>
#<alt (* x (- y x))>
Outputs
#<alt (/ x y)>
#<alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))>
#<alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))>
#<alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))>
#<alt (* -1 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))>
#<alt (* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))>
#<alt (* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))>
#<alt (* -1 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))>
#<alt (* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))>
#<alt (* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))>
#<alt (* -1 (/ (pow x 2) (pow y 2)))>
#<alt (/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))>
#<alt (/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))>
#<alt (/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (/ (pow x 2) y))) y)>
#<alt (/ (+ x (* -1 (/ (pow x 2) y))) y)>
#<alt (/ (+ x (* -1 (/ (pow x 2) y))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))>
#<alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))>
#<alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))>
#<alt (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<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 (* x y)>
#<alt (* x (+ y (* -1 x)))>
#<alt (* x (+ y (* -1 x)))>
#<alt (* x (+ y (* -1 x)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ y x) 1))>
#<alt (* (pow x 2) (- (/ y x) 1))>
#<alt (* (pow x 2) (- (/ y x) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ y x) 1))>
#<alt (* (pow x 2) (- (/ y x) 1))>
#<alt (* (pow x 2) (- (/ y x) 1))>
#<alt (* -1 (pow x 2))>
#<alt (+ (* -1 (pow x 2)) (* x y))>
#<alt (+ (* -1 (pow x 2)) (* x y))>
#<alt (+ (* -1 (pow x 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ (pow x 2) y))))>
#<alt (* y (+ x (* -1 (/ (pow x 2) y))))>
#<alt (* y (+ x (* -1 (/ (pow x 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))>
Calls

21 calls:

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

rewrite294.0ms (5%)

Memory
5.0MiB live, 291.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 182×accelerator-lowering-fma.f32
6 182×accelerator-lowering-fma.f64
3 462×*-lowering-*.f32
3 462×*-lowering-*.f64
2 716×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
15220
245620
3601320
0827720
Stop Event
iter limit
node limit
Counts
4 → 685
Calls
Call 1
Inputs
(/ (* x (- y x)) (+ (* y y) 0))
(- y x)
(+ (* y y) 0)
(* x (- y x))
Outputs
(+.f64 (/.f64 (*.f64 x (-.f64 y x)) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (/.f64 (*.f64 x (-.f64 y x)) (fma.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)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(+.f64 (/.f64 (*.f64 x (-.f64 y x)) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (/.f64 (*.f64 x (-.f64 y x)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(+.f64 (/.f64 (*.f64 x (-.f64 y x)) (fma.f64 y y #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (-.f64 y x)) (fma.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)) #s(literal 0 binary64)))))
(+.f64 (/.f64 (*.f64 x (-.f64 y x)) (fma.f64 y y #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (-.f64 y x)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 (*.f64 x (-.f64 y x)) (fma.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)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 (*.f64 x (-.f64 y x)) (fma.f64 y y #s(literal 0 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 x (-.f64 y x)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 (*.f64 x (-.f64 y x)) (fma.f64 y y #s(literal 0 binary64))))
(+.f64 (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (-.f64 y x)) (fma.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)) #s(literal 0 binary64)))) (/.f64 (*.f64 x (-.f64 y x)) (fma.f64 y y #s(literal 0 binary64))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (-.f64 y x)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (*.f64 x (-.f64 y x)) (fma.f64 y y #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 x (-.f64 y x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (-.f64 x y)) (fma.f64 y y #s(literal 0 binary64))))
(fma.f64 x (/.f64 (-.f64 y x) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (/.f64 (*.f64 x (-.f64 y x)) (fma.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)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 x (/.f64 (-.f64 y x) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (/.f64 (*.f64 x (-.f64 y x)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 x (/.f64 (-.f64 y x) (fma.f64 y y #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (-.f64 y x)) (fma.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)) #s(literal 0 binary64)))))
(fma.f64 x (/.f64 (-.f64 y x) (fma.f64 y y #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (-.f64 y x)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (-.f64 y x) (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (*.f64 (/.f64 (*.f64 x (-.f64 y x)) (fma.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)) #s(literal 0 binary64))) #s(literal 0 binary64)))
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(*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y (fma.f64 y (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 y y #s(literal 0 binary64))))
(*.f64 (fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.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)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.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)) #s(literal 0 binary64))) (fma.f64 y (*.f64 y (fma.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)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.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)) #s(literal 0 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (/.f64 y (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #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 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))))
(*.f64 (/.f64 y (fma.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)) #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 y y) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #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 (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))) (/.f64 (fma.f64 y y #s(literal 0 binary64)) y))
(*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) y) (/.f64 (fma.f64 y (fma.f64 y (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))))
(*.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)) (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 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #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 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(*.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 (fma.f64 y y #s(literal 0 binary64)) (fma.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)) #s(literal 0 binary64))) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #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)) (fma.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)) #s(literal 0 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #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)) (fma.f64 y (fma.f64 y (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)))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.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)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (*.f64 y (fma.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)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.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)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.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)) #s(literal 0 binary64)) (fma.f64 (fma.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)) #s(literal 0 binary64)) (fma.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)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y (*.f64 y (fma.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)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) (fma.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)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 y (fma.f64 y (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 (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)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) y)
(*.f64 (/.f64 (fma.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)) #s(literal 0 binary64)) (fma.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)) #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #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 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(+.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x y))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 x y)))
(fma.f64 x y (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 x (-.f64 #s(literal 0 binary64) x) (*.f64 x y))
(fma.f64 y x (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) x (*.f64 x y))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 x y))
(neg.f64 (*.f64 x (-.f64 x y)))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x y) (fma.f64 y y #s(literal 0 binary64))) (*.f64 x (fma.f64 x (*.f64 x x) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 x (fma.f64 (-.f64 y x) (+.f64 x y) #s(literal 0 binary64)))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 y (*.f64 x (*.f64 x y)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 x x))))))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x x) (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 x (fma.f64 (-.f64 y x) (+.f64 x y) #s(literal 0 binary64))) (+.f64 x y))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) x) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x y) (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 x x)) x) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) (fma.f64 x (+.f64 x y) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 x (fma.f64 (-.f64 y x) (+.f64 x y) #s(literal 0 binary64))) #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x x) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x y) (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 y x) (+.f64 x y) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x y) (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (*.f64 x (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(pow.f64 (/.f64 (fma.f64 x (+.f64 x y) (fma.f64 y y #s(literal 0 binary64))) (*.f64 x (fma.f64 x (*.f64 x x) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x y) (*.f64 x (fma.f64 (-.f64 y x) (+.f64 x y) #s(literal 0 binary64)))) #s(literal -1 binary64))
(*.f64 x (-.f64 y x))
(*.f64 x (*.f64 (-.f64 y x) #s(literal 1 binary64)))
(*.f64 (-.f64 y x) x)
(*.f64 (-.f64 y x) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 (-.f64 y x) (*.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 x (-.f64 y x)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (fma.f64 y y #s(literal 0 binary64)))) x))
(*.f64 (fma.f64 x (*.f64 x x) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 x (fma.f64 x (+.f64 x y) (fma.f64 y y #s(literal 0 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (-.f64 y x)))
(*.f64 (fma.f64 (-.f64 y x) (+.f64 x y) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x))
(*.f64 (fma.f64 (-.f64 y x) (+.f64 x y) #s(literal 0 binary64)) (/.f64 x (+.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 y x)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 x (fma.f64 x (*.f64 x x) (fma.f64 y (fma.f64 y y #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)))))
(*.f64 (*.f64 x (fma.f64 (-.f64 y x) (+.f64 x y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 y x))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) (*.f64 (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) (fma.f64 x (+.f64 x y) #s(literal 0 binary64))) (fma.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)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) (-.f64 (fma.f64 x (+.f64 x y) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (fma.f64 x (+.f64 x y) (fma.f64 y y #s(literal 0 binary64))) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x (+.f64 x y) #s(literal 0 binary64))))) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x (+.f64 x y) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 x (fma.f64 (-.f64 y x) (+.f64 x y) #s(literal 0 binary64))) (fma.f64 (-.f64 y x) (+.f64 x y) #s(literal 0 binary64))) (-.f64 y x))
(*.f64 (/.f64 (*.f64 x (fma.f64 (-.f64 y x) (+.f64 x y) #s(literal 0 binary64))) (fma.f64 x (*.f64 x x) (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))))

simplify243.0ms (4.2%)

Memory
-26.5MiB live, 174.0MiB allocated
Algorithm
egg-herbie
Rules
4 334×*-lowering-*.f32
4 334×*-lowering-*.f64
3 972×accelerator-lowering-fma.f32
3 972×accelerator-lowering-fma.f64
1 250×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051459
1148441
2375405
3985405
42056405
53659405
65201405
76348405
87375405
08014405
Stop Event
iter limit
node limit
Counts
84 → 84
Calls
Call 1
Inputs
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* -1 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* -1 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* -1 (/ (pow x 2) (pow y 2)))
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(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)
(* x y)
(* x (+ y (* -1 x)))
(* x (+ y (* -1 x)))
(* x (+ y (* -1 x)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ y x) 1))
(* (pow x 2) (- (/ y x) 1))
(* (pow x 2) (- (/ y x) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ y x) 1))
(* (pow x 2) (- (/ y x) 1))
(* (pow x 2) (- (/ y x) 1))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* x y))
(+ (* -1 (pow x 2)) (* x y))
(+ (* -1 (pow x 2)) (* x y))
(* x y)
(* y (+ x (* -1 (/ (pow x 2) y))))
(* y (+ x (* -1 (/ (pow x 2) y))))
(* y (+ x (* -1 (/ (pow x 2) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))
(* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))
(* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))
Outputs
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* -1 (/ (pow x 2) (pow y 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* -1 (/ (pow x 2) (pow y 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* -1 (/ (pow x 2) (pow y 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)))
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
y
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(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))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (* -1 x)))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* x (+ y (* -1 x)))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* x (+ y (* -1 x)))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ y x) 1))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (- (/ y x) 1))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (- (/ y x) 1))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ y x) 1))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (- (/ y x) 1))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (- (/ y x) 1))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -1 (pow x 2)) (* x y))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(+ (* -1 (pow x 2)) (* x y))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(+ (* -1 (pow x 2)) (* x y))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (* -1 (/ (pow x 2) y))))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* y (+ x (* -1 (/ (pow x 2) y))))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* y (+ x (* -1 (/ (pow x 2) y))))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))

eval79.0ms (1.3%)

Memory
13.9MiB live, 119.5MiB allocated
Compiler

Compiled 23 194 to 1 449 computations (93.8% saved)

prune91.0ms (1.6%)

Memory
9.7MiB live, 163.2MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New7681769
Fresh000
Picked101
Done055
Total7696775
Accuracy
100.0%
Counts
775 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.6%
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
100.0%
(/.f64 x (+.f64 y x))
49.5%
(/.f64 x y)
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))
51.7%
(-.f64 #s(literal 1 binary64) (/.f64 y x))
52.2%
#s(literal 1 binary64)
Compiler

Compiled 42 to 27 computations (35.7% saved)

simplify186.0ms (3.2%)

Memory
9.6MiB live, 187.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 y y)
cost-diff-64
(*.f64 x (-.f64 y x))
cost-diff0
(-.f64 y x)
cost-diff0
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
Rules
3 898×accelerator-lowering-fma.f32
3 898×accelerator-lowering-fma.f64
2 956×*-lowering-*.f32
2 956×*-lowering-*.f64
1 824×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0622
11622
24122
37322
415722
530822
6102922
7402422
8618322
9750722
10788922
0818422
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (* x (- y x)) (* y y))
(* x (- y x))
x
(- y x)
y
(* y y)
Outputs
(/ (* x (- y x)) (* y y))
(fma.f64 x (/.f64 (-.f64 y x) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))
(* x (- y x))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
x
(- y x)
(-.f64 y x)
y
(* y y)
(fma.f64 y y #s(literal 0 binary64))

localize42.0ms (0.7%)

Memory
-33.9MiB live, 8.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 y x)
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(*.f64 x (-.f64 y x))
accuracy71.3%
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
Samples
32.0ms256×0valid
Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (51.9% of total)
ival-sub: 1.0ms (17.3% of total)
ival-div: 1.0ms (17.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#<alt (/ (* x (- y x)) (* y y))>
#<alt (- y x)>
#<alt (* x (- y x))>
#<alt (* y y)>
Outputs
#<alt (/ x y)>
#<alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))>
#<alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))>
#<alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))>
#<alt (* -1 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))>
#<alt (* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))>
#<alt (* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))>
#<alt (* -1 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))>
#<alt (* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))>
#<alt (* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))>
#<alt (* -1 (/ (pow x 2) (pow y 2)))>
#<alt (/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))>
#<alt (/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))>
#<alt (/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (/ (pow x 2) y))) y)>
#<alt (/ (+ x (* -1 (/ (pow x 2) y))) y)>
#<alt (/ (+ x (* -1 (/ (pow x 2) y))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))>
#<alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))>
#<alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))>
#<alt (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* x y)>
#<alt (* x (+ y (* -1 x)))>
#<alt (* x (+ y (* -1 x)))>
#<alt (* x (+ y (* -1 x)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ y x) 1))>
#<alt (* (pow x 2) (- (/ y x) 1))>
#<alt (* (pow x 2) (- (/ y x) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ y x) 1))>
#<alt (* (pow x 2) (- (/ y x) 1))>
#<alt (* (pow x 2) (- (/ y x) 1))>
#<alt (* -1 (pow x 2))>
#<alt (+ (* -1 (pow x 2)) (* x y))>
#<alt (+ (* -1 (pow x 2)) (* x y))>
#<alt (+ (* -1 (pow x 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ (pow x 2) y))))>
#<alt (* y (+ x (* -1 (/ (pow x 2) y))))>
#<alt (* y (+ x (* -1 (/ (pow x 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))>
#<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

21 calls:

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

rewrite285.0ms (4.9%)

Memory
35.1MiB live, 267.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 236×/-lowering-/.f32
4 236×/-lowering-/.f64
3 994×*-lowering-*.f32
3 994×*-lowering-*.f64
2 996×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0620
13820
226620
3296320
0832320
Stop Event
iter limit
node limit
Counts
4 → 434
Calls
Call 1
Inputs
(/ (* x (- y x)) (* y y))
(- y x)
(* x (- y x))
(* y y)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) (*.f64 x (-.f64 y x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (-.f64 x y)) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (*.f64 x (-.f64 x y)) (*.f64 y y)))
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (*.f64 x (-.f64 x y)) (*.f64 y y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x y)) (*.f64 y y))))
(/.f64 x (*.f64 y (/.f64 y (-.f64 y x))))
(/.f64 (-.f64 y x) (*.f64 (/.f64 y x) y))
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
(/.f64 (*.f64 x (-.f64 x y)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (/.f64 x y) (/.f64 y (-.f64 y x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x (-.f64 y x))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y x))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (*.f64 y (/.f64 y (-.f64 y x)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))
(/.f64 (/.f64 (*.f64 x (-.f64 x y)) y) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (*.f64 x (-.f64 x y)) y) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 y x)) (neg.f64 (*.f64 (/.f64 y x) y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (*.f64 x (-.f64 y x))))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y x)))))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (fma.f64 x (+.f64 x y) (*.f64 y y))) y))
(/.f64 (*.f64 (+.f64 x y) (*.f64 x (-.f64 y x))) (*.f64 y (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (*.f64 x (-.f64 y x))) (*.f64 (*.f64 y (+.f64 x y)) y))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (*.f64 y (fma.f64 x (+.f64 x y) (*.f64 y y))) (/.f64 y x)))
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 (-.f64 y x) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) (+.f64 x y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (*.f64 (-.f64 y x) (+.f64 x y))) (-.f64 y x))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (+.f64 x y)) (*.f64 x (*.f64 (+.f64 x y) (*.f64 x (+.f64 x y))))))) (fma.f64 (*.f64 x (+.f64 x y)) (-.f64 (*.f64 x (+.f64 x y)) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x y))))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y))))))
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 y x) (+.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(+.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x y))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 x y)))
(fma.f64 x y (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 x (-.f64 #s(literal 0 binary64) x) (*.f64 x y))
(fma.f64 y x (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) x (*.f64 x y))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 x y))
(neg.f64 (*.f64 x (-.f64 x y)))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (*.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 x (-.f64 y x)))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (*.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 x (-.f64 y x))))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 y (*.f64 x y)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 x x))))))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 (+.f64 x y) (*.f64 x (-.f64 y x))) (+.f64 x y))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 x (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) x) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 x x)) x) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (*.f64 x (-.f64 y x))) #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x (*.f64 y (*.f64 x y)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (*.f64 x (-.f64 y x)))) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (*.f64 x (-.f64 y x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 x x)) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (*.f64 x (-.f64 y x))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 y (-.f64 #s(literal 0 binary64) y) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(pow.f64 (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (*.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 x (-.f64 y x)))) #s(literal -1 binary64))
(*.f64 x (-.f64 y x))
(*.f64 x (*.f64 (-.f64 y x) #s(literal 1 binary64)))
(*.f64 (-.f64 y x) x)
(*.f64 (-.f64 y x) (*.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 y x) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 (*.f64 x (-.f64 y x)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))) x))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 x (fma.f64 x (+.f64 x y) (*.f64 y y))))
(*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (-.f64 y x)))
(*.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x))
(*.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (/.f64 x (+.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 y x)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(*.f64 (*.f64 (+.f64 x y) (*.f64 x (-.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 y x))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (+.f64 x y)) (*.f64 x (*.f64 (+.f64 x y) (*.f64 x (+.f64 x y))))))) (fma.f64 (*.f64 x (+.f64 x y)) (-.f64 (*.f64 x (+.f64 x y)) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x y))))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x y))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 x (-.f64 y x))) (*.f64 (-.f64 y x) (+.f64 x y))) (-.f64 y x))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 x (-.f64 y x))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) #s(literal 0 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) #s(literal 0 binary64)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))))
(exp.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) #s(literal 0 binary64)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) #s(literal 0 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 y (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.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 y (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(*.f64 y (/.f64 y #s(literal 1 binary64)))
(*.f64 y (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)))
(*.f64 y (pow.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) y)
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)) y)
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))

simplify207.0ms (3.6%)

Memory
-23.6MiB live, 175.3MiB allocated
Algorithm
egg-herbie
Rules
4 334×*-lowering-*.f32
4 334×*-lowering-*.f64
3 972×accelerator-lowering-fma.f32
3 972×accelerator-lowering-fma.f64
1 250×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051459
1148441
2375405
3985405
42056405
53659405
65201405
76348405
87375405
08014405
Stop Event
iter limit
node limit
Counts
84 → 84
Calls
Call 1
Inputs
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* -1 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* -1 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* -1 (/ (pow x 2) (pow y 2)))
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* x y)
(* x (+ y (* -1 x)))
(* x (+ y (* -1 x)))
(* x (+ y (* -1 x)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ y x) 1))
(* (pow x 2) (- (/ y x) 1))
(* (pow x 2) (- (/ y x) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ y x) 1))
(* (pow x 2) (- (/ y x) 1))
(* (pow x 2) (- (/ y x) 1))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* x y))
(+ (* -1 (pow x 2)) (* x y))
(+ (* -1 (pow x 2)) (* x y))
(* x y)
(* y (+ x (* -1 (/ (pow x 2) y))))
(* y (+ x (* -1 (/ (pow x 2) y))))
(* y (+ x (* -1 (/ (pow x 2) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))
(* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))
(* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))
(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
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* -1 (/ (pow x 2) (pow y 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* -1 (/ (pow x 2) (pow y 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* -1 (/ (pow x 2) (pow y 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)))
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal 0 binary64))) (-.f64 y x) #s(literal 0 binary64))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
y
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (* -1 x)))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* x (+ y (* -1 x)))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* x (+ y (* -1 x)))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ y x) 1))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (- (/ y x) 1))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (- (/ y x) 1))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ y x) 1))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (- (/ y x) 1))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* (pow x 2) (- (/ y x) 1))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -1 (pow x 2)) (* x y))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(+ (* -1 (pow x 2)) (* x y))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(+ (* -1 (pow x 2)) (* x y))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (* -1 (/ (pow x 2) y))))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* y (+ x (* -1 (/ (pow x 2) y))))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* y (+ x (* -1 (/ (pow x 2) y))))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))
(fma.f64 x (-.f64 y x) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ (pow x 2) y))))
(fma.f64 x (-.f64 y 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))

eval58.0ms (1%)

Memory
-3.4MiB live, 80.5MiB allocated
Compiler

Compiled 11 464 to 1 381 computations (88% saved)

prune52.0ms (0.9%)

Memory
32.2MiB live, 110.2MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New5180518
Fresh000
Picked011
Done055
Total5186524
Accuracy
100.0%
Counts
524 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.6%
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
100.0%
(/.f64 x (+.f64 y x))
49.5%
(/.f64 x y)
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))
51.7%
(-.f64 #s(literal 1 binary64) (/.f64 y x))
52.2%
#s(literal 1 binary64)
Compiler

Compiled 97 to 47 computations (51.5% saved)

regimes67.0ms (1.2%)

Memory
-39.3MiB live, 6.6MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 x y)
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 x (+.f64 y x))
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))
(/.f64 (*.f64 x (-.f64 y x)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 (+.f64 x y) (-.f64 y x)))
Outputs
(/.f64 x (+.f64 y x))
Calls

3 calls:

61.0ms
x
3.0ms
y
3.0ms
(/.f64 x (+.f64 y x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 x (+.f64 y x))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes6.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 x y)
(-.f64 #s(literal 1 binary64) (/.f64 y x))
Outputs
(/.f64 x y)
(-.f64 #s(literal 1 binary64) (/.f64 y x))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(/.f64 x (+.f64 y x))
Results
AccuracySegmentsBranch
77.9%3x
83.6%3y
98.8%2(/.f64 x (+.f64 y x))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 x y)
Outputs
(/.f64 x y)
#s(literal 1 binary64)
Calls

1 calls:

1.0ms
(/.f64 x (+.f64 y x))
Results
AccuracySegmentsBranch
98.2%2(/.f64 x (+.f64 y x))
Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes4.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
x
1.0ms
y
1.0ms
(/.f64 x (+.f64 y x))
Results
AccuracySegmentsBranch
52.2%1x
52.2%1y
52.2%1(/.f64 x (+.f64 y x))
Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.41527827914785054
0.9999257853453101
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.41527827914785054
0.9999257853453101
Compiler

Compiled 10 to 9 computations (10% saved)

simplify7.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated
Algorithm
egg-herbie
Rules
10×+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
11834
22634
33234
43734
53934
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 y x))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 1/2 binary64)) (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 1/2 binary64)) (/.f64 x y) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 x (+.f64 y x))
(/.f64 x (+.f64 x y))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 1/2 binary64)) (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 1/2 binary64)) (/.f64 x y) #s(literal 1 binary64))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) (/.f64 x y) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness257.0ms (4.4%)

Memory
-2.8MiB live, 145.8MiB allocated
Rules
10 270×accelerator-lowering-fma.f32
10 270×accelerator-lowering-fma.f64
3 632×*-lowering-*.f32
3 632×*-lowering-*.f64
2 202×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124369
1369348
2945318
33730316
08248303
Stop Event
done
iter limit
node limit
Compiler

Compiled 59 to 29 computations (50.8% saved)

preprocess27.0ms (0.5%)

Memory
23.9MiB live, 57.9MiB allocated
Compiler

Compiled 86 to 32 computations (62.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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