Linear.Projection:inversePerspective from linear-1.19.1.3, B

Time bar (total: 7.2s)

analyze24.0ms (0.3%)

Memory
17.4MiB live, 59.2MiB 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)

sample1.0s (14.1%)

Memory
-18.2MiB live, 1 100.0MiB allocated
Samples
655.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 353.0ms
ival-mult: 188.0ms (53.3% of total)
ival-div: 90.0ms (25.5% of total)
ival-sub: 60.0ms (17% of total)
ival-true: 6.0ms (1.7% of total)
exact: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

preprocess366.0ms (5.1%)

Memory
35.0MiB live, 541.9MiB 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))))

explain203.0ms (2.8%)

Memory
-30.1MiB live, 144.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
750-2(1.2845890854843824e-301 -5.1059290283759e-19)(/.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/u390
↳(*.f64 (*.f64 x #s(literal 2 binary64)) y)underflow39
/.f64(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))n/o340
↳(*.f64 (*.f64 x #s(literal 2 binary64)) y)overflow34
Confusion
Predicted +Predicted -
+732
-0181
Precision
1.0
Recall
0.9733333333333334
Confusion?
Predicted +Predicted MaybePredicted -
+7302
-00181
Precision?
1.0
Recall?
0.9733333333333334
Freqs
test
numberfreq
0183
173
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
116.0ms512×0valid
Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 7.0ms (50.3% of total)
ival-sub: 3.0ms (21.5% of total)
ival-div: 3.0ms (21.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶72.8%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify229.0ms (3.2%)

Memory
-1.6MiB live, 467.5MiB 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)

localize22.0ms (0.3%)

Memory
8.7MiB live, 47.1MiB 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))
✓accuracy72.8%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Samples
15.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (45.3% of total)
ival-sub: 2.0ms (30.2% of total)
ival-div: 2.0ms (30.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
22.4MiB live, 22.4MiB 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
x
@-inf
(/ (- x y) (* (* x 2) y))

rewrite371.0ms (5.1%)

Memory
-54.1MiB live, 539.2MiB 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)

simplify914.0ms (12.6%)

Memory
-0.6MiB live, 515.3MiB 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))

eval301.0ms (4.2%)

Memory
10.3MiB live, 124.4MiB allocated
Compiler

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

prune459.0ms (6.3%)

Memory
22.6MiB live, 140.7MiB 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
87.0%
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓72.8%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
▶33.2%
(/.f64 (neg.f64 y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
▶53.7%
(/.f64 #s(literal 1/2 binary64) y)
▶47.6%
(/.f64 #s(literal -1/2 binary64) x)
▶100.0%
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
▶72.3%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y))
Compiler

Compiled 111 to 77 computations (30.6% saved)

simplify373.0ms (5.2%)

Memory
-22.3MiB live, 223.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓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 x #s(literal 2 binary64))
✓cost-diff0
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
✓cost-diff0
(neg.f64 y)
✓cost-diff768
(/.f64 (neg.f64 y) (*.f64 (*.f64 x #s(literal 2 binary64)) 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
5 534×lower-fma.f64
5 534×lower-fma.f32
3 796×lower-*.f32
3 788×lower-*.f64
1 988×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01770
02963
14963
212863
334063
4100263
5236163
6471763
0863063
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 (neg.f64 y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(neg.f64 y)
y
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.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)
Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(/.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 (neg.f64 y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 #s(literal -1/2 binary64) x)
(neg.f64 y)
y
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y))
(/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(/.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)

localize70.0ms (1%)

Memory
-9.7MiB live, 109.6MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(*.f64 x y)
✓accuracy98.7%
(/.f64 #s(literal 1/2 binary64) (*.f64 x y))
✓accuracy73.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y))
✓accuracy100.0%
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(neg.f64 y)
✓accuracy72.7%
(/.f64 (neg.f64 y) (*.f64 (*.f64 x #s(literal 2 binary64)) 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
51.0ms256×0valid
Compiler

Compiled 72 to 19 computations (73.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-div: 28.0ms (72.4% of total)
ival-mult: 7.0ms (18.1% of total)
ival-sub: 2.0ms (5.2% of total)
ival-neg: 1.0ms (2.6% 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
28.7MiB live, 28.7MiB allocated
Counts
12 → 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 (neg.f64 y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))>
#<alt (neg.f64 y)>
#<alt (*.f64 (*.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 x #s(literal 2 binary64))>
#<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)>
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)>
#<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 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 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)>
#<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)))))>
Calls

57 calls:

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

rewrite311.0ms (4.3%)

Memory
11.6MiB live, 524.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 618×lower-/.f32
4 608×lower-/.f64
4 032×lower-*.f32
4 024×lower-*.f64
3 970×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01754
02947
110947
290647
0861547
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 1 004
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 (neg.f64 y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(neg.f64 y)
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
(*.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)
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) x) (*.f64 y x)) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 y x)))) (neg.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.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 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) (*.f64 y x)))) (neg.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) (*.f64 y x))))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) x) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) x))
(-.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) x) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.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 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.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 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) (*.f64 y x)))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) (*.f64 y x)))))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) x) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.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 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) 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 y (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 (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 x #s(literal 2 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))))
(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) x) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (+.f64 y x) (*.f64 y x))) (neg.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) (*.f64 y x))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y x) (neg.f64 y)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 y (/.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 y)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x x) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y) (/.f64 #s(literal -1/2 binary64) 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) y) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) x (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (neg.f64 y) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) y))
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(*.f64 (/.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))))
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(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal -2 binary64)))
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(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
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(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
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(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))
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(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x))))
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
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(*.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (neg.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 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))

simplify422.0ms (5.8%)

Memory
-29.9MiB live, 690.7MiB allocated
Algorithm
1×egg-herbie
Rules
15 568×lower-fma.f64
15 568×lower-fma.f32
2 476×lower-*.f64
2 476×lower-*.f32
2 312×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042915
1108915
2245915
3575915
41492915
52678915
64497915
75751915
86265915
96434915
106552915
117626915
08062909
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)
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(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ 1/2 y)
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(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
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(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ 1/2 y)
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(/ 1/2 y)
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(/ (+ 1/2 (* -1/2 (/ y x))) y)
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(/ (+ 1/2 (* -1/2 (/ y x))) y)
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x
(* x (+ 1 (* -1 (/ y x))))
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(* 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)))))
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 #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)
(/.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 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.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))
(/ -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 (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 #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)

eval145.0ms (2%)

Memory
5.6MiB live, 402.3MiB allocated
Compiler

Compiled 18 484 to 1 454 computations (92.1% saved)

prune115.0ms (1.6%)

Memory
10.0MiB live, 249.1MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1 25611 257
Fresh011
Picked145
Done011
Total1 25771 264
Accuracy
100.0%
Counts
1 264 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.0%
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓72.8%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
▶33.2%
(/.f64 y (*.f64 y (*.f64 x #s(literal -2 binary64))))
✓53.7%
(/.f64 #s(literal 1/2 binary64) y)
✓47.6%
(/.f64 #s(literal -1/2 binary64) x)
✓100.0%
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓72.3%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y))
Compiler

Compiled 60 to 41 computations (31.7% saved)

simplify258.0ms (3.6%)

Memory
20.6MiB live, 294.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 6 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-diff0
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓cost-diff0
(*.f64 x #s(literal -2 binary64))
✓cost-diff0
(*.f64 y (*.f64 x #s(literal -2 binary64)))
✓cost-diff640
(/.f64 y (*.f64 y (*.f64 x #s(literal -2 binary64))))
Rules
7 542×lower-*.f32
7 538×lower-*.f64
2 672×cube-prod
2 198×lower-/.f32
2 192×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01139
01839
12835
24635
36035
47735
510635
631535
791135
8178035
9188935
10197235
11208635
12225435
13248135
14423035
15527535
16578135
17604435
18614935
19622635
20629835
0801335
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 y (*.f64 y (*.f64 x #s(literal -2 binary64))))
y
(*.f64 y (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(/.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 y (*.f64 y (*.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal -1/2 binary64) x)
y
(*.f64 y (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y)
(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)

localize38.0ms (0.5%)

Memory
-38.6MiB live, 51.0MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 y x)
✓accuracy100.0%
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
✓accuracy87.0%
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓accuracy100.0%
(*.f64 y (*.f64 x #s(literal -2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal -2 binary64))
✓accuracy72.7%
(/.f64 y (*.f64 y (*.f64 x #s(literal -2 binary64))))
Samples
22.0ms256×0valid
Compiler

Compiled 43 to 14 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 7.0ms (51% of total)
ival-mult: 5.0ms (36.5% of total)
ival-add: 1.0ms (7.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
16.4MiB live, 16.4MiB allocated
Counts
6 → 132
Calls
Call 1
Inputs
#<alt (/.f64 y (*.f64 y (*.f64 x #s(literal -2 binary64))))>
#<alt (*.f64 y (*.f64 x #s(literal -2 binary64)))>
#<alt (*.f64 x #s(literal -2 binary64))>
#<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 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 (* -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)>
#<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

33 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/ y x)
1.0ms
y
@-inf
(/ (+ (* -1/2 (/ y x)) 1/2) y)
1.0ms
y
@inf
(/ (+ (* -1/2 (/ y x)) 1/2) y)
0.0ms
y
@-inf
(/ y x)
0.0ms
x
@-inf
(/ (+ (* -1/2 (/ y x)) 1/2) y)

rewrite311.0ms (4.3%)

Memory
32.0MiB live, 414.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 160×lower-/.f32
5 154×lower-/.f64
3 226×lower-*.f32
3 222×lower-*.f64
2 688×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01132
01832
16328
237028
3369928
0885628
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 542
Calls
Call 1
Inputs
(/.f64 y (*.f64 y (*.f64 x #s(literal -2 binary64))))
(*.f64 y (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
(/.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
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x))) #s(literal -1 binary64)) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) y) (neg.f64 (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y x))) (neg.f64 (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y x))) #s(literal 1 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 y (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (/.f64 y x) (*.f64 y #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 x))
(/.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) y)
(/.f64 (neg.f64 y) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))
(/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) x) (neg.f64 y))
(/.f64 (/.f64 y (neg.f64 x)) (neg.f64 (*.f64 y #s(literal -2 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) (neg.f64 (/.f64 #s(literal -2 binary64) y)))
(/.f64 (/.f64 y (neg.f64 y)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 y x))
(/.f64 (/.f64 y (*.f64 y #s(literal -2 binary64))) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) #s(literal -2 binary64))
(/.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (/.f64 y (*.f64 y (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 (neg.f64 (/.f64 y (*.f64 x #s(literal 2 binary64)))) y)
(/.f64 (neg.f64 (/.f64 y (neg.f64 y))) (*.f64 x #s(literal -2 binary64)))
(/.f64 (neg.f64 (/.f64 y (*.f64 y (neg.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 y #s(literal -2 binary64))) (*.f64 y (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 y (*.f64 y #s(literal -2 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) y)) #s(literal 2 binary64))
(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))
(pow.f64 (/.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64))
(*.f64 y (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 y) (neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y (*.f64 x #s(literal 2 binary64))))
(*.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x))) (neg.f64 y))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 y (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 y #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 (/.f64 y (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(neg.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal 1 binary64))
(/.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x))))
(pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(*.f64 y (*.f64 x #s(literal -2 binary64)))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(*.f64 x (/.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 y x))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal -2 binary64)) y)
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(*.f64 (*.f64 y x) #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y))
(*.f64 (*.f64 y (neg.f64 x)) #s(literal 2 binary64))
(*.f64 (*.f64 y #s(literal -2 binary64)) x)
(*.f64 (neg.f64 (*.f64 y (neg.f64 x))) #s(literal -2 binary64))
(exp.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 y))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) (*.f64 #s(literal 1 binary64) (neg.f64 y))))
(neg.f64 (*.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) y)
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))))
(/.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y 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 y (/.f64 x (*.f64 y #s(literal -1/2 binary64))))
(*.f64 y (/.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (/.f64 #s(literal -2 binary64) y)))
(*.f64 x (/.f64 (*.f64 y #s(literal -2 binary64)) y))
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y x) y))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
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(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x)))) (*.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)))))) (neg.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/512 binary64) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))))) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/64 binary64)) (*.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))))) (neg.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64))))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/16 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (*.f64 y y) (*.f64 x x))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/4 binary64))))
(pow.f64 (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 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))
(pow.f64 (/.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)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x))))) #s(literal -1 binary64))
(*.f64 (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.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))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal -1/4 binary64)) (*.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 #s(literal -1 binary64) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal -1/4 binary64)))
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal -1/4 binary64))) (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (/.f64 y x) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (fma.f64 (/.f64 y x) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (fma.f64 (fma.f64 (/.f64 y x) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (-.f64 (fma.f64 (/.f64 y x) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 x x))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 x x)) (fma.f64 (/.f64 y x) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))) (-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 x x)) (fma.f64 (/.f64 y x) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 (/.f64 y x) #s(literal -1/4 binary64) #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (/.f64 y x)))
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 y (neg.f64 x)))
(neg.f64 (/.f64 y (neg.f64 x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 x))))
(/.f64 y x)
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64))) x)
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) x)
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)))

simplify225.0ms (3.1%)

Memory
-4.6MiB live, 319.9MiB allocated
Algorithm
1×egg-herbie
Rules
4 630×lower-fma.f64
4 630×lower-fma.f32
2 922×lower-*.f64
2 922×lower-*.f32
1 424×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033624
174624
2155624
3402624
4755588
51485588
63892588
75992588
87243588
97745588
107877588
08031570
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
(/ -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)
(* -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)
(/ 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 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)
(* -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))
(/ 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 y x)) (*.f64 x y))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) (*.f64 x y))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.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 (/ 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 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(* -1/2 (/ y x))
(/.f64 (*.f64 #s(literal -1/2 binary64) y) x)
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(* -1/2 (/ y x))
(/.f64 (*.f64 #s(literal -1/2 binary64) y) x)
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(* -1/2 (/ y x))
(/.f64 (*.f64 #s(literal -1/2 binary64) y) x)
(/ (+ (* -1/2 y) (* 1/2 x)) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(/ (+ (* -1/2 y) (* 1/2 x)) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(/ (+ (* -1/2 y) (* 1/2 x)) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (/ y x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y 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)

eval76.0ms (1%)

Memory
10.4MiB live, 158.6MiB allocated
Compiler

Compiled 13 808 to 1 376 computations (90% saved)

prune78.0ms (1.1%)

Memory
12.1MiB live, 165.4MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New6740674
Fresh000
Picked022
Done055
Total6747681
Accuracy
100.0%
Counts
681 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓87.0%
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓72.8%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
✓33.2%
(/.f64 y (*.f64 y (*.f64 x #s(literal -2 binary64))))
✓53.7%
(/.f64 #s(literal 1/2 binary64) y)
✓47.6%
(/.f64 #s(literal -1/2 binary64) x)
✓100.0%
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓72.3%
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y))
Compiler

Compiled 116 to 66 computations (43.1% saved)

regimes12.0ms (0.2%)

Memory
-16.1MiB live, 21.7MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 y (*.f64 y (*.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 y) (*.f64 (*.f64 x #s(literal 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)
Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
Calls

3 calls:

5.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
3.0ms
x
3.0ms
y
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
18.4MiB live, 18.4MiB allocated
Counts
6 → 5
Calls
Call 1
Inputs
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 y (*.f64 y (*.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 y) (*.f64 (*.f64 x #s(literal 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) y)
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.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) x)
Calls

3 calls:

3.0ms
y
3.0ms
x
3.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
86.5%6x
87.4%5y
89.6%5(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes9.0ms (0.1%)

Memory
-32.5MiB live, 6.2MiB allocated
Counts
5 → 5
Calls
Call 1
Inputs
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 y (*.f64 y (*.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y))
Outputs
(/.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)
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y))
(/.f64 #s(literal -1/2 binary64) x)
Calls

1 calls:

9.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
89.1%5(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 y (*.f64 y (*.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Outputs
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal -1/2 binary64) x)
Calls

3 calls:

2.0ms
y
2.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
2.0ms
x
Results
AccuracySegmentsBranch
76.2%3x
79.3%3y
59.1%2(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB 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
x
1.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
1.0ms
y
Results
AccuracySegmentsBranch
47.6%1(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
47.6%1x
47.6%1y
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
3.490218456402223e+307
+inf
0.0ms
-0.0
1.1653641270353879e-79
0.0ms
-8.263825315387634e-136
-0.0
0.0ms
-inf
-4.461828523550912e+305
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
3.490218456402223e+307
+inf
0.0ms
-0.0
1.1653641270353879e-79
0.0ms
-8.263825315387634e-136
-0.0
0.0ms
-inf
-4.461828523550912e+305
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch32.0ms (0.4%)

Memory
-22.3MiB live, 51.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
5.559458807481704e+59
1.8797461757960394e+70
14.0ms
-5.1059290283759e-19
-1.1270448291640776e-24
Samples
16.0ms304×0valid
Compiler

Compiled 242 to 202 computations (16.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sub: 4.0ms (40.2% of total)
ival-mult: 4.0ms (40.2% of total)
ival-div: 2.0ms (20.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory
32.3MiB live, 32.3MiB 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
038177
146177
257177
365177
471177
573177
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 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal -1636695303948071/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal -1636695303948071/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y)) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 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 -5104235503814077/680564733841876926926749214863536422912 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal 44999999999999998474866071962912898307292388589377289189759700172800 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(/.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 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal -1636695303948071/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal -inf.0 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal -1636695303948071/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal -1636695303948071/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y)) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y)) (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal -inf.0 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal -1636695303948071/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (*.f64 (-.f64 x y) (/.f64 #s(literal 1/2 binary64) (*.f64 y x))) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (*.f64 (-.f64 x y) (/.f64 #s(literal 1/2 binary64) (*.f64 y x))) (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 y #s(literal -5104235503814077/680564733841876926926749214863536422912 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal 44999999999999998474866071962912898307292388589377289189759700172800 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal -1/2 binary64) x)

soundness721.0ms (10%)

Memory
-34.4MiB live, 298.8MiB 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 227 to 75 computations (67% saved)

preprocess59.0ms (0.8%)

Memory
28.6MiB live, 145.0MiB allocated
Compiler

Compiled 398 to 102 computations (74.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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