Linear.Projection:inversePerspective from linear-1.19.1.3, B

Time bar (total: 7.3s)

analyze35.0ms (0.5%)

Memory
1.8MiB live, 41.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
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 11 to 9 computations (18.2% saved)

sample1.2s (16.2%)

Memory
18.7MiB live, 1 088.7MiB allocated
Samples
955.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 587.0ms
ival-div: 376.0ms (64.1% of total)
ival-mult: 148.0ms (25.2% of total)
ival-sub: 48.0ms (8.2% of total)
ival-true: 6.0ms (1% of total)
exact: 5.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess410.0ms (5.6%)

Memory
18.1MiB live, 563.3MiB allocated
Algorithm
1×egg-herbie
Rules
7 700×lower-fma.f64
7 700×lower-fma.f32
3 752×lower-*.f32
3 748×lower-*.f64
2 616×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01953
17145
230335
3165835
4358835
5512035
6589735
7604335
8609135
9617835
10617835
11664035
12725635
079
0119
1229
2567
31337
43097
56307
611357
740097
870417
080947
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Outputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (-.f64 x y) (*.f64 x (*.f64 y #s(literal 2 binary64))))

explain82.0ms (1.1%)

Memory
-35.6MiB live, 153.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
660-2(2.6968092126398415e-155 -6.833284521209113e-164)(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
00-0-(*.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(-.f64 x y)
00-0-(*.f64 (*.f64 x #s(literal 2 binary64)) y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))n/o360
↳(*.f64 (*.f64 x #s(literal 2 binary64)) y)overflow36
/.f64(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))n/u280
↳(*.f64 (*.f64 x #s(literal 2 binary64)) y)underflow28
Confusion
Predicted +Predicted -
+642
-0190
Precision
1.0
Recall
0.9696969696969697
Confusion?
Predicted +Predicted MaybePredicted -
+6402
-00190
Precision?
1.0
Recall?
0.9696969696969697
Freqs
test
numberfreq
0192
164
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
41.0ms512×0valid
Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 12.0ms (47.9% of total)
ival-sub: 6.0ms (24% of total)
ival-mult: 6.0ms (24% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.9%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify267.0ms (3.7%)

Memory
14.4MiB live, 324.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal 2 binary64))
✓cost-diff0
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Rules
7 700×lower-fma.f64
7 700×lower-fma.f32
3 752×lower-*.f32
3 748×lower-*.f64
1 972×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0723
01123
12223
25621
313321
430921
563021
6113521
7400921
8704121
0809421
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(-.f64 x y)
x
y
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (-.f64 x y) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(-.f64 x y)
x
y
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize27.0ms (0.4%)

Memory
-34.6MiB live, 46.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy75.9%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Samples
16.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (64.4% of total)
ival-sub: 2.0ms (21.5% of total)
ival-div: 2.0ms (21.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
18.9MiB live, 19.0MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))>
#<alt (-.f64 x y)>
#<alt (*.f64 (*.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 x #s(literal 2 binary64))>
Outputs
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ 1/2 y)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ 1/2 y)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ -1/2 x)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ -1/2 x)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
Calls

21 calls:

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

rewrite340.0ms (4.7%)

Memory
17.0MiB live, 605.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 688×lower-/.f32
5 686×lower-/.f64
4 398×lower-*.f32
4 394×lower-*.f64
2 466×lower-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0720
01120
14320
230118
3421918
01011818
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 623
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(-.f64 x y)
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
Outputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (neg.f64 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(+.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (neg.f64 y)) (/.f64 #s(literal 1/2 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y x) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(-.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 x (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 y x) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (-.f64 y x) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 y (+.f64 x y) (*.f64 x x))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 y (+.f64 x y) (*.f64 x x))))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y y) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 x y)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) y) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) #s(literal 4 binary64))) (/.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) #s(literal 4 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 y x) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)))) (*.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 x y))) (*.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 (*.f64 y y) (neg.f64 (+.f64 x y))) (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 y (+.f64 x y) (*.f64 x x))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 y (+.f64 x y) (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 y (+.f64 x y) (*.f64 x x))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 y (+.f64 x y) (*.f64 x x))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 x (*.f64 y #s(literal -2 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 x (*.f64 y #s(literal -2 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 x (*.f64 y #s(literal -2 binary64))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))))))
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(*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 #s(literal -1 binary64) (-.f64 y x))
(*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))) (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 x y) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 x y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y (+.f64 x y)) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 x y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(*.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 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))))
(*.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 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 x y) (+.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 y (+.f64 x y) (*.f64 x 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 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.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 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x 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) (neg.f64 (+.f64 x y))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))
(/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 x (neg.f64 (*.f64 y #s(literal -2 binary64))))
(*.f64 x (/.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 y (neg.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 y (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x y) #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(*.f64 (neg.f64 y) (*.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 y #s(literal 2 binary64)) x)
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64))))
(*.f64 (*.f64 x #s(literal -2 binary64)) (neg.f64 y))
(*.f64 (neg.f64 x) (*.f64 y #s(literal -2 binary64)))
(*.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) y)
(*.f64 (neg.f64 (neg.f64 x)) (*.f64 y #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)

simplify501.0ms (6.9%)

Memory
-28.4MiB live, 574.8MiB allocated
Algorithm
1×egg-herbie
Rules
16 868×lower-fma.f64
16 868×lower-fma.f32
2 616×lower-*.f64
2 616×lower-*.f32
2 482×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040399
1106399
2239399
3553369
41457369
52639369
64362369
75570369
86051369
96296369
106416369
117573369
08021366
Stop Event
1×iter limit
1×node limit
Counts
84 → 81
Calls
Call 1
Inputs
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(/ (- (* 1/2 (/ x y)) 1/2) x)
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(/ (- (* 1/2 (/ x y)) 1/2) x)
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

eval255.0ms (3.5%)

Memory
38.1MiB live, 151.8MiB allocated
Compiler

Compiled 16 760 to 1 711 computations (89.8% saved)

prune457.0ms (6.3%)

Memory
-35.0MiB live, 173.0MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New6986704
Fresh000
Picked011
Done000
Total6987705
Accuracy
100.0%
Counts
705 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶90.8%
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
91.4%
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64)))
✓75.9%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
▶48.7%
(/.f64 #s(literal 1/2 binary64) y)
▶52.2%
(/.f64 #s(literal -1/2 binary64) x)
▶100.0%
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
▶75.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y))
Compiler

Compiled 113 to 77 computations (31.9% saved)

simplify419.0ms (5.8%)

Memory
-0.8MiB live, 315.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 y x)
✓cost-diff0
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
✓cost-diff256
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 x y))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
✓cost-diff64
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
Rules
10 538×lower-fma.f32
10 536×lower-fma.f64
2 934×lower-*.f32
2 930×lower-*.f64
1 890×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01570
02767
14067
28267
316367
433367
563467
6167767
7493467
8763067
0806167
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/2 binary64) x)
x
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 x y))
#s(literal 1/2 binary64)
(*.f64 x y)
x
y
(-.f64 x y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 y x)
y
x
#s(literal 1/2 binary64)
Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (*.f64 y x))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/2 binary64) x)
x
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (*.f64 y x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
#s(literal 1/2 binary64)
(*.f64 x y)
(*.f64 y x)
x
y
(-.f64 x y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (*.f64 y x))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 y x)
y
x
#s(literal 1/2 binary64)

localize87.0ms (1.2%)

Memory
38.0MiB live, 117.1MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
✓accuracy100.0%
(/.f64 y x)
✓accuracy90.8%
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(*.f64 x y)
✓accuracy99.1%
(/.f64 #s(literal 1/2 binary64) (*.f64 x y))
✓accuracy76.3%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) y)
✓accuracy100.0%
(/.f64 #s(literal -1/2 binary64) x)
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) y)
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
Samples
63.0ms256×0valid
Compiler

Compiled 74 to 18 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-div: 42.0ms (83.6% of total)
ival-mult: 4.0ms (8% of total)
ival-sub: 2.0ms (4% of total)
ival-add: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-6.1MiB live, 30.7MiB allocated
Counts
11 → 228
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y))>
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (-.f64 x y)>
#<alt (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)>
#<alt (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))>
#<alt (/.f64 y x)>
Outputs
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ -1/2 x)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ -1/2 x)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ 1/2 y)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ 1/2 y)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ 1/2 y)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ 1/2 y)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ -1/2 x)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ -1/2 x)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (/ 1/2 (* x y))>
#<alt (* 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 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ -1/2 x)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ -1/2 x)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ 1/2 y)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ 1/2 y)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/2 (/ y x)))>
#<alt (+ 1/2 (* -1/2 (/ y x)))>
#<alt (+ 1/2 (* -1/2 (/ y x)))>
#<alt (* -1/2 (/ y x))>
#<alt (* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))>
#<alt (* -1/2 (/ y x))>
#<alt (/ (+ (* -1/2 y) (* 1/2 x)) x)>
#<alt (/ (+ (* -1/2 y) (* 1/2 x)) x)>
#<alt (/ (+ (* -1/2 y) (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/2 (/ y x)))>
#<alt (+ 1/2 (* -1/2 (/ y x)))>
#<alt (+ 1/2 (* -1/2 (/ y x)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/2 (/ y x)))>
#<alt (+ 1/2 (* -1/2 (/ y x)))>
#<alt (+ 1/2 (* -1/2 (/ 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)>
Calls

57 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
(- (/ 1/2 y) (/ 1/2 x))
0.0ms
y
@0
(- (/ 1/2 y) (/ 1/2 x))
0.0ms
y
@inf
(/ (+ (* -1/2 (/ y x)) 1/2) y)
0.0ms
y
@-inf
(/ (+ (* -1/2 (/ y x)) 1/2) y)
0.0ms
x
@0
(- (/ 1/2 y) (/ 1/2 x))

rewrite789.0ms (10.9%)

Memory
-11.4MiB live, 597.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 430×lower-/.f32
5 418×lower-/.f64
4 168×lower-*.f32
4 164×lower-*.f64
3 182×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01553
02751
111651
294851
0812851
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 774
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal -1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x y)
(-.f64 x y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(/.f64 y x)
Outputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (neg.f64 y)))
(+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y x)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)))
(-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 y x))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 y x))))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))))
(-.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 y (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 y (neg.f64 x))) (/.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y (neg.f64 x))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (neg.f64 x))) (/.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (*.f64 y (neg.f64 x))))
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 x))) (/.f64 (*.f64 (neg.f64 y) #s(literal -1/2 binary64)) (*.f64 (neg.f64 y) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y #s(literal 2 binary64)) x)) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) x)))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 y #s(literal 2 binary64)) (neg.f64 x))) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) x (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 y x)))))
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64))) (*.f64 (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)) (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (/.f64 y x) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (/.f64 y x) #s(literal -1/4 binary64)))))
(*.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 y (neg.f64 x)))
(neg.f64 (/.f64 y (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 y) x))
(/.f64 y x)
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x y)))
(/.f64 (*.f64 y #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 x))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))

simplify224.0ms (3.1%)

Memory
-17.9MiB live, 308.1MiB allocated
Algorithm
1×egg-herbie
Rules
3 336×lower-fma.f64
3 336×lower-fma.f32
2 432×lower-*.f64
2 432×lower-*.f32
1 442×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0471029
11221029
23001029
38691029
419961029
530341029
646871029
751551029
853421029
954831029
1056011029
1166691029
1274151029
081971002
Stop Event
1×iter limit
1×node limit
Counts
228 → 225
Calls
Call 1
Inputs
(/ 1/2 y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(* 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)
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(/ 1/2 y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
1/2
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ y x)))
(* -1/2 (/ y x))
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* -1/2 (/ y x))
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(* -1/2 (/ y x))
(/ (+ (* -1/2 y) (* 1/2 x)) x)
(/ (+ (* -1/2 y) (* 1/2 x)) x)
(/ (+ (* -1/2 y) (* 1/2 x)) x)
1/2
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ y x)))
1/2
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ 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)
Outputs
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (*.f64 y x))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (*.f64 y x))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (*.f64 y x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(/ (- (* 1/2 (/ x y)) 1/2) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(/ (- (* 1/2 (/ x y)) 1/2) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(/ (- (* 1/2 (/ x y)) 1/2) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(/ (- (* 1/2 (/ x y)) 1/2) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (*.f64 y x))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (*.f64 y x))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (*.f64 y x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(/ 1/2 (* x y))
(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (*.f64 y x))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (*.f64 y x))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (*.f64 y x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(/ (- (* 1/2 (/ x y)) 1/2) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(/ (- (* 1/2 (/ x y)) 1/2) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(* -1/2 (/ y x))
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(* -1/2 (/ y x))
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(* -1/2 (/ y x))
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(/ (+ (* -1/2 y) (* 1/2 x)) x)
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(/ (+ (* -1/2 y) (* 1/2 x)) x)
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(/ (+ (* -1/2 y) (* 1/2 x)) x)
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)

eval131.0ms (1.8%)

Memory
17.9MiB live, 283.5MiB allocated
Compiler

Compiled 16 626 to 1 370 computations (91.8% saved)

prune90.0ms (1.2%)

Memory
9.6MiB live, 169.3MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1 02501 025
Fresh011
Picked055
Done011
Total1 02571 032
Accuracy
100.0%
Counts
1 032 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓90.8%
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
▶91.4%
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64)))
✓75.9%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
✓48.7%
(/.f64 #s(literal 1/2 binary64) y)
✓52.2%
(/.f64 #s(literal -1/2 binary64) x)
✓100.0%
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓75.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y))
Compiler

Compiled 62 to 42 computations (32.3% saved)

simplify164.0ms (2.3%)

Memory
-22.7MiB live, 222.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal -2 binary64))
✓cost-diff0
(-.f64 y x)
✓cost-diff0
(/.f64 (-.f64 y x) y)
✓cost-diff384
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64)))
Rules
3 342×lower-fma.f64
3 342×lower-fma.f32
2 852×lower-*.f32
2 850×lower-*.f64
1 434×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0723
01123
12123
24823
310721
423221
547021
6102321
7316321
8653321
9765021
0800621
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64)))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
y
x
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64)))
(/.f64 (-.f64 y x) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 (-.f64 y x) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 y x)
y
x
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)

localize23.0ms (0.3%)

Memory
-0.3MiB live, 38.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 y x)
✓accuracy100.0%
(*.f64 x #s(literal -2 binary64))
✓accuracy100.0%
(/.f64 (-.f64 y x) y)
✓accuracy91.4%
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64)))
Samples
16.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (43.4% of total)
ival-mult: 2.0ms (28.9% of total)
ival-sub: 1.0ms (14.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64)))>
#<alt (/.f64 (-.f64 y x) y)>
#<alt (-.f64 y x)>
#<alt (*.f64 x #s(literal -2 binary64))>
Outputs
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) y)>
#<alt (/ -1/2 x)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ -1/2 x)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ (- (* 1/2 (/ x y)) 1/2) x)>
#<alt (/ 1/2 y)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (/ 1/2 y)>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))>
#<alt (* -1 (/ x y))>
#<alt (/ (+ y (* -1 x)) y)>
#<alt (/ (+ y (* -1 x)) y)>
#<alt (/ (+ y (* -1 x)) y)>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<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 (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
Calls

21 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(/ (/ (- y x) y) (* x -2))
1.0ms
x
@inf
(/ (/ (- y x) y) (* x -2))
0.0ms
y
@0
(/ (/ (- y x) y) (* x -2))
0.0ms
x
@0
(/ (/ (- y x) y) (* x -2))
0.0ms
y
@0
(/ (- y x) y)

rewrite323.0ms (4.4%)

Memory
14.4MiB live, 451.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 076×lower-*.f32
6 074×lower-*.f64
4 092×lower-/.f32
4 088×lower-/.f64
3 134×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
14920
238620
3464820
0992320
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 596
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64)))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
(*.f64 x #s(literal -2 binary64))
Outputs
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal -2 binary64))))))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (neg.f64 y))))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x (/.f64 #s(literal -2 binary64) (-.f64 y x))))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 y (-.f64 y x))) #s(literal -1 binary64) (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y (-.f64 y x))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 y (*.f64 x #s(literal -2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y x) (*.f64 #s(literal 2 binary64) (*.f64 y x))))
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 y (*.f64 x #s(literal -2 binary64)))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 y (*.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (*.f64 y (*.f64 x #s(literal -2 binary64)))) (/.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (*.f64 y (*.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64))) (/.f64 (-.f64 y x) (*.f64 #s(literal 2 binary64) (*.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (*.f64 y x))) (/.f64 (-.f64 y x) (*.f64 #s(literal 2 binary64) (*.f64 y x))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (+.f64 y x))
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(/.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (neg.f64 (+.f64 y x)))
(/.f64 (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))))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (fma.f64 (*.f64 y (*.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 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 y x) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x))))))
(/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (-.f64 y x) (+.f64 y x))) (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 x x))) (*.f64 (+.f64 y x) (+.f64 y x)))
(/.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) #s(literal 1 binary64)) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 (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 (fma.f64 (*.f64 y (*.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))))) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (*.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 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (*.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 (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)))) (+.f64 y x)))
(/.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (-.f64 y x) (+.f64 y x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 y x) (*.f64 (+.f64 y x) (+.f64 y x)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y x) (*.f64 (+.f64 y x) (+.f64 y x))))) (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 x x) (*.f64 y y)) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) (fma.f64 y (/.f64 (*.f64 y y) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x 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)))) (fma.f64 y (/.f64 y (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))))
(/.f64 (*.f64 (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))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x)))) (fma.f64 (*.f64 y (*.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 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x)))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 y x))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (-.f64 y x) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 y x))) (fma.f64 y y (*.f64 x x)))
(/.f64 (-.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (-.f64 (neg.f64 (*.f64 y y)) (neg.f64 (*.f64 x x))) (neg.f64 (+.f64 y x)))
(/.f64 (fma.f64 y (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (fma.f64 y (+.f64 #s(literal 0 binary64) x) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x)))
(/.f64 (fma.f64 (neg.f64 y) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (fma.f64 (neg.f64 y) (+.f64 #s(literal 0 binary64) x) (*.f64 x x)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 0 binary64) x)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) y)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (neg.f64 y))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 0 binary64) x) y)) (*.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 0 binary64) x) (neg.f64 y))) (*.f64 (+.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 1 binary64)))
(*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (/.f64 (-.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x)))
(*.f64 (+.f64 y x) (*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(*.f64 #s(literal -1 binary64) (-.f64 x y))
(*.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))) (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 y x)) (*.f64 (-.f64 y x) (+.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) (+.f64 y x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (-.f64 y x) (+.f64 y x))) (-.f64 y x))
(*.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 x)) (*.f64 (+.f64 y x) (*.f64 (+.f64 y x) (+.f64 y x)))))) (fma.f64 (*.f64 x (+.f64 y x)) (-.f64 (*.f64 x (+.f64 y x)) (*.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 y (+.f64 y x) (*.f64 x x)) (-.f64 (*.f64 y y) (*.f64 x (+.f64 y x))))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 y x))))
(*.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) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) (+.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (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 (*.f64 y (*.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 y (+.f64 y x) (*.f64 x x)) (*.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 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
(*.f64 (pow.f64 (/.f64 (+.f64 y x) (*.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 y y (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (+.f64 y x) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (-.f64 y x) (+.f64 y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(neg.f64 (*.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (neg.f64 x))

simplify262.0ms (3.6%)

Memory
-3.3MiB live, 305.7MiB allocated
Algorithm
1×egg-herbie
Rules
5 504×lower-fma.f64
5 504×lower-fma.f32
4 256×lower-*.f64
4 256×lower-*.f32
1 428×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044354
1115354
2280354
3704354
41805354
53633354
65187354
75804354
86343354
96718354
106885354
117360354
08050351
Stop Event
1×iter limit
1×node limit
Counts
84 → 81
Calls
Call 1
Inputs
(/ 1/2 y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(* -1 (/ x y))
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -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)))))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
Outputs
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.f64 (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.f64 (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.f64 (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(/ (- (* 1/2 (/ x y)) 1/2) x)
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(/ (- (* 1/2 (/ x y)) 1/2) x)
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 x)
(neg.f64 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)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 x)
(neg.f64 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)
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))

eval77.0ms (1.1%)

Memory
16.5MiB live, 128.9MiB allocated
Compiler

Compiled 13 327 to 1 710 computations (87.2% saved)

prune113.0ms (1.6%)

Memory
-15.4MiB live, 155.8MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New6770677
Fresh000
Picked011
Done066
Total6777684
Accuracy
100.0%
Counts
684 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓90.8%
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓91.4%
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64)))
✓75.9%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
✓48.7%
(/.f64 #s(literal 1/2 binary64) y)
✓52.2%
(/.f64 #s(literal -1/2 binary64) x)
✓100.0%
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓75.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y))
Compiler

Compiled 112 to 66 computations (41.1% saved)

regimes9.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64)))
Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
Calls

3 calls:

3.0ms
y
3.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes8.0ms (0.1%)

Memory
-25.1MiB live, 13.7MiB allocated
Counts
4 → 5
Calls
Call 1
Inputs
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Outputs
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 #s(literal -1/2 binary64) x)
Calls

3 calls:

3.0ms
x
2.0ms
y
2.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
87.0%5x
87.7%5y
87.4%5(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes2.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
3 → 5
Calls
Call 1
Inputs
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y))
Outputs
(/.f64 #s(literal -1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y))
(/.f64 #s(literal 1/2 binary64) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y))
(/.f64 #s(literal -1/2 binary64) x)
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
87.6%5y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
Outputs
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
Calls

3 calls:

2.0ms
x
2.0ms
y
1.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
77.2%3x
56.1%2(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
74.1%3y
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal -1/2 binary64) x)
Outputs
(/.f64 #s(literal -1/2 binary64) x)
Calls

3 calls:

1.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
52.2%1(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
52.2%1y
52.2%1x
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch47.0ms (0.7%)

Memory
6.5MiB live, 79.8MiB allocated
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
1.477844919994246e+141
1.4001952138473573e+143
10.0ms
7.97172601482106e-211
2.864250927335571e-210
13.0ms
-1.5042877701931982e-123
-1.1428509436817665e-140
11.0ms
-2.9178021821135765e+139
-8.174416102146416e+137
Samples
27.0ms464×0valid
Compiler

Compiled 536 to 389 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 9.0ms (52.8% of total)
ival-div: 4.0ms (23.5% of total)
ival-sub: 3.0ms (17.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.3%)

Memory
-12.2MiB live, 29.7MiB allocated
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
2.0ms
1.477844919994246e+141
1.4001952138473573e+143
0.0ms
7.97172601482106e-211
2.864250927335571e-210
1.0ms
-1.5042877701931982e-123
-1.1428509436817665e-140
15.0ms
-1.344438122434627e+129
-1.9615648303829504e+127
Samples
6.0ms128×0valid
Compiler

Compiled 536 to 389 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (60.6% of total)
ival-sub: 1.0ms (30.3% of total)
ival-div: 1.0ms (30.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.4%)

Memory
17.2MiB live, 55.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
1.4002902357116817e+59
7.23440378209785e+65
15.0ms
-8.724956578109208e-30
-5.46931018404924e-37
Samples
13.0ms288×0valid
Compiler

Compiled 230 to 192 computations (16.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (41.5% of total)
ival-sub: 2.0ms (27.6% of total)
ival-div: 2.0ms (27.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify39.0ms (0.5%)

Memory
-20.9MiB live, 17.5MiB allocated
Algorithm
1×egg-herbie
Rules
16×*-commutative_binary64
12×+-commutative_binary64
12×sub-neg_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042113
150113
262113
370113
476113
578113
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 y #s(literal -18499999999999999615984952864918234033386770428496256624370773939364990700654385005955337484645938396869250178937037786818179039197875142656 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal -5148598245097957/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072 binary64)) (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 y #s(literal 4145670565072999/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 139999999999999998992064133147381531945939947172447219626852168139119841432008535449199074503961625178148426141019525473437310716591530437509120 binary64)) (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 y #s(literal -1300000000000000059248311315307187609971607685861632821004598951751182941146884488480190763949340708347501352014457853749458108416 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal -5148598245097957/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y)) (if (<=.f64 y #s(literal 4145670565072999/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 129999999999999994422313412497097260280581205170592111132684587977704068432713985013171504775510756236894956911963033535505609457699548639002624 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y)) (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 x #s(literal -2740315569995443/22835963083295358096932575511191922182123945984 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 x #s(literal 359999999999999985347487938711546494752627127588565467267072 binary64)) (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal -1/2 binary64) x)
Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 y #s(literal -18499999999999999615984952864918234033386770428496256624370773939364990700654385005955337484645938396869250178937037786818179039197875142656 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal -5148598245097957/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072 binary64)) (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 y #s(literal 4145670565072999/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 139999999999999998992064133147381531945939947172447219626852168139119841432008535449199074503961625178148426141019525473437310716591530437509120 binary64)) (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 y #s(literal -18499999999999999615984952864918234033386770428496256624370773939364990700654385005955337484645938396869250178937037786818179039197875142656 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal -5148598245097957/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072 binary64)) (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (if (<=.f64 y #s(literal 4145670565072999/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 139999999999999998992064133147381531945939947172447219626852168139119841432008535449199074503961625178148426141019525473437310716591530437509120 binary64)) (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 y #s(literal -1300000000000000059248311315307187609971607685861632821004598951751182941146884488480190763949340708347501352014457853749458108416 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal -5148598245097957/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y)) (if (<=.f64 y #s(literal 4145670565072999/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 129999999999999994422313412497097260280581205170592111132684587977704068432713985013171504775510756236894956911963033535505609457699548639002624 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y)) (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 y #s(literal -1300000000000000059248311315307187609971607685861632821004598951751182941146884488480190763949340708347501352014457853749458108416 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal -5148598245097957/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072 binary64)) (*.f64 (-.f64 x y) (/.f64 #s(literal 1/2 binary64) (*.f64 y x))) (if (<=.f64 y #s(literal 4145670565072999/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 129999999999999994422313412497097260280581205170592111132684587977704068432713985013171504775510756236894956911963033535505609457699548639002624 binary64)) (*.f64 (-.f64 x y) (/.f64 #s(literal 1/2 binary64) (*.f64 y x))) (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 x #s(literal -2740315569995443/22835963083295358096932575511191922182123945984 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 x #s(literal 359999999999999985347487938711546494752627127588565467267072 binary64)) (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal -1/2 binary64) x)

soundness731.0ms (10.1%)

Memory
11.8MiB live, 319.8MiB allocated
Rules
16 868×lower-fma.f64
16 868×lower-fma.f32
5 688×lower-/.f32
5 686×lower-/.f64
4 398×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040399
1106399
2239399
3553369
41457369
52639369
64362369
75570369
86051369
96296369
106416369
117573369
08021366
0720
01120
14320
230118
3421918
01011818
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 163 to 79 computations (51.5% saved)

preprocess87.0ms (1.2%)

Memory
9.3MiB live, 168.9MiB allocated
Compiler

Compiled 270 to 110 computations (59.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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