Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, C

Time bar (total: 835.0ms)

analyze10.0ms (1.1%)

Memory
24.1MiB live, 24.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 7 to 7 computations (0% saved)

sample484.0ms (58%)

Memory
-24.1MiB live, 931.0MiB allocated
Samples
307.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 138.0ms
ival-div: 63.0ms (45.5% of total)
ival-mult: 62.0ms (44.8% of total)
ival-true: 6.0ms (4.3% of total)
exact: 5.0ms (3.6% of total)
ival-assert: 3.0ms (2.2% of total)
Bogosity

preprocess53.0ms (6.4%)

Memory
12.1MiB live, 49.2MiB allocated
Algorithm
2×egg-herbie
Rules
516×times-frac
316×associate-*r*
312×associate-*l*
252×associate-/r*
156×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01432
14230
210430
332830
497030
5158830
6182030
7185530
8189330
9192530
055
185
2105
0105
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ x (* y 2))
Outputs
(/ x (* y 2))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Call 2
Inputs
(/ x (* y 2))
(/ (neg x) (* y 2))
(/ x (* (neg y) 2))
(neg (/ (neg x) (* y 2)))
(neg (/ x (* (neg y) 2)))
(/ y (* x 2))
Outputs
(/ x (* y 2))
(* x (/ 1/2 y))
(/ (neg x) (* y 2))
(* x (/ -1/2 y))
(/ x (* (neg y) 2))
(* x (/ -1/2 y))
(neg (/ (neg x) (* y 2)))
(* x (/ 1/2 y))
(neg (/ x (* (neg y) 2)))
(* x (/ 1/2 y))
(/ y (* x 2))
(* y (/ 1/2 x))
Symmetry

(negabs x)

(negabs y)

explain55.0ms (6.6%)

Memory
2.0MiB live, 87.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-#s(literal 2 binary64)
00-0-(/.f64 x (*.f64 y #s(literal 2 binary64)))
00-0-x
00-0-(*.f64 y #s(literal 2 binary64))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
29.0ms512×0valid
Compiler

Compiled 40 to 24 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 7.0ms (61.8% of total)
ival-mult: 3.0ms (26.5% 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 (0.1%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.5%)

Memory
4.4MiB live, 4.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y #s(literal 2 binary64))
✓cost-diff0
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Rules
10×/-lowering-/.f32
10×/-lowering-/.f64
4×*-lowering-*.f32
4×*-lowering-*.f64
4×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
1811
21011
01011
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ x (* y 2))
x
(* y 2)
y
2
Outputs
(/ x (* y 2))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(* y 2)
(*.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)

localize21.0ms (2.5%)

Memory
-11.5MiB live, 25.4MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x (*.f64 y #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 y #s(literal 2 binary64))
Samples
15.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (50.9% of total)
ival-mult: 2.0ms (50.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.6%)

Memory
9.8MiB live, 9.7MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#<alt (/ x (* y 2))>
#<alt (* y 2)>
Outputs
#<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 (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
Calls

9 calls:

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

rewrite109.0ms (13.1%)

Memory
-8.2MiB live, 155.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 060×*-lowering-*.f32
1 060×*-lowering-*.f64
898×/-lowering-/.f32
898×/-lowering-/.f64
210×frac-2neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1168
2778
33858
022928
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
2 → 155
Calls
Call 1
Inputs
(/ x (* y 2))
(* y 2)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64)) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(neg.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
(/.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y #s(literal -2 binary64)) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -2 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))
(/.f64 (/.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 x y))) (*.f64 (*.f64 y #s(literal -2 binary64)) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x y)))) (*.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 y #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2 binary64)))) (*.f64 (*.f64 y #s(literal -2 binary64)) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y))) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) (/.f64 x y))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 y #s(literal -2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 y #s(literal -2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (/.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) y)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x (/.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) y)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y #s(literal -2 binary64)) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (*.f64 y #s(literal -2 binary64)) x))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (/.f64 y #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 y x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 x (*.f64 y #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)
(/.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) y)) x)
(/.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) y)
(pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)) (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) #s(literal 4 binary64))))) (*.f64 (*.f64 y y) #s(literal 4 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (/.f64 y #s(literal 1/2 binary64)))
(+.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y #s(literal 1/2 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64)))
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(fma.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal -2 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -2 binary64) #s(literal 0 binary64))
(neg.f64 (*.f64 y #s(literal -2 binary64)))
(/.f64 y #s(literal 1/2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/2 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) #s(literal 4 binary64))))) (*.f64 (*.f64 y y) #s(literal 4 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (/.f64 y #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 y y) #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) #s(literal 4 binary64))))) (*.f64 (*.f64 y y) #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (/.f64 y #s(literal 1/2 binary64)))
(pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -2 binary64))

simplify7.0ms (0.8%)

Memory
13.0MiB live, 13.0MiB allocated
Algorithm
1×egg-herbie
Rules
16×*-lowering-*.f32
16×*-lowering-*.f64
8×*-commutative
6×/-lowering-/.f32
6×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07156
111156
213156
315156
416156
016156
Stop Event
1×iter limit
1×saturated
Counts
36 → 36
Calls
Call 1
Inputs
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
Outputs
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))

eval20.0ms (2.4%)

Memory
-5.2MiB live, 32.8MiB allocated
Compiler

Compiled 1 827 to 363 computations (80.1% saved)

prune24.0ms (2.8%)

Memory
-2.4MiB live, 41.3MiB allocated
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1910191
Fresh000
Picked011
Done000
Total1911192
Accuracy
100.0%
Counts
192 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify7.0ms (0.8%)

Memory
10.6MiB live, 10.6MiB allocated
Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Outputs
(/.f64 x (*.f64 y #s(literal 2 binary64)))

soundness0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Stop Event
1×done
Compiler

Compiled 7 to 5 computations (28.6% saved)

preprocess35.0ms (4.2%)

Memory
-21.4MiB live, 54.3MiB allocated
Remove

(negabs y)

(negabs x)

Compiler

Compiled 84 to 60 computations (28.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...