Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, E

Time bar (total: 2.2s)

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample633.0ms (28.9%)

Memory
29.1MiB live, 861.3MiB allocated
Samples
476.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-div: 72.0ms (56.4% of total)
ival-sub: 42.0ms (32.9% of total)
ival-true: 5.0ms (3.9% of total)
exact: 4.0ms (3.1% of total)
ival-assert: 3.0ms (2.4% of total)
Bogosity

preprocess25.0ms (1.2%)

Memory
13.9MiB live, 52.1MiB allocated
Algorithm
2×egg-herbie
Rules
128×accelerator-lowering-fma.f32
128×accelerator-lowering-fma.f64
80×*-lowering-*.f32
80×*-lowering-*.f64
60×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01434
13332
27830
316130
428230
534530
635130
055
175
2175
3255
4375
5565
6925
71245
81795
92105
102435
112445
02444
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- x (/ y 4))
Outputs
(- x (/ y 4))
(+.f64 x (/.f64 y #s(literal -4 binary64)))
Call 2
Inputs
(- x (/ y 4))
(- (neg x) (/ y 4))
(- x (/ (neg y) 4))
(neg (- (neg x) (/ y 4)))
(neg (- x (/ (neg y) 4)))
(- y (/ x 4))
Outputs
(- x (/ y 4))
(+ x (* y -1/4))
(- (neg x) (/ y 4))
(- (* y -1/4) x)
(- x (/ (neg y) 4))
(+ x (* y 1/4))
(neg (- (neg x) (/ y 4)))
(+ x (* y 1/4))
(neg (- x (/ (neg y) 4)))
(- (* y -1/4) x)
(- y (/ x 4))
(+ y (* x -1/4))

explain58.0ms (2.7%)

Memory
-34.0MiB live, 138.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 x (/.f64 y #s(literal 4 binary64)))
00-0-y
00-0-(/.f64 y #s(literal 4 binary64))
00-0-#s(literal 4 binary64)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
20.0ms512×0valid
Compiler

Compiled 40 to 24 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (39.1% of total)
ival-sub: 3.0ms (39.1% 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
1.3MiB live, 1.3MiB allocated
Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Memory
4.0MiB live, 3.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 x (/.f64 y #s(literal 4 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify12.0ms (0.5%)

Memory
4.1MiB live, 43.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 y #s(literal 4 binary64))
✓cost-diff0
(-.f64 x (/.f64 y #s(literal 4 binary64)))
Rules
128×accelerator-lowering-fma.f32
128×accelerator-lowering-fma.f64
80×*-lowering-*.f32
80×*-lowering-*.f64
40×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
1711
21711
32511
43711
55611
69211
712411
817911
921011
1024311
1124411
024410
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- x (/ y 4))
x
(/ y 4)
y
4
Outputs
(- x (/ y 4))
(+.f64 x (/.f64 y #s(literal -4 binary64)))
x
(/ y 4)
(/.f64 y #s(literal 4 binary64))
y
4
#s(literal 4 binary64)

localize16.0ms (0.7%)

Memory
8.7MiB live, 49.8MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 y #s(literal 4 binary64))
✓accuracy100.0%
(-.f64 x (/.f64 y #s(literal 4 binary64)))
Samples
9.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 2.0ms (57.9% of total)
ival-sub: 1.0ms (29% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#<alt (- x (/ y 4))>
#<alt (/ y 4)>
Outputs
#<alt (* -1/4 y)>
#<alt (- x (* 1/4 y))>
#<alt (- x (* 1/4 y))>
#<alt (- x (* 1/4 y))>
#<alt x>
#<alt (* x (+ 1 (* -1/4 (/ y x))))>
#<alt (* x (+ 1 (* -1/4 (/ y x))))>
#<alt (* x (+ 1 (* -1/4 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/4 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -1/4 y))>
#<alt (+ x (* -1/4 y))>
#<alt (+ x (* -1/4 y))>
#<alt (* -1/4 y)>
#<alt (* y (- (/ x y) 1/4))>
#<alt (* y (- (/ x y) 1/4))>
#<alt (* y (- (/ x y) 1/4))>
#<alt (* -1/4 y)>
#<alt (* -1 (* y (+ 1/4 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/4 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/4 (* -1 (/ x y)))))>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(/ y 4)
0.0ms
y
@inf
(- x (/ y 4))
0.0ms
x
@inf
(- x (/ y 4))
0.0ms
y
@0
(- x (/ y 4))
0.0ms
y
@inf
(/ y 4)

rewrite303.0ms (13.8%)

Memory
3.5MiB live, 547.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 368×accelerator-lowering-fma.f32
3 368×accelerator-lowering-fma.f64
3 224×*-lowering-*.f32
3 224×*-lowering-*.f64
2 912×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1308
22468
340618
081527
Stop Event
1×iter limit
1×node limit
Counts
2 → 130
Calls
Call 1
Inputs
(- x (/ y 4))
(/ y 4)
Outputs
(+.f64 x (/.f64 y #s(literal -4 binary64)))
(+.f64 (/.f64 y #s(literal -4 binary64)) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64)))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64))))))
(+.f64 (*.f64 x (/.f64 x (+.f64 x (/.f64 y #s(literal 4 binary64))))) (neg.f64 (/.f64 (/.f64 (*.f64 y y) #s(literal 16 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal -4 binary64))))) #s(literal -1 binary64)))
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y #s(literal 4 binary64)) x))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64)))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64)))))
(-.f64 (*.f64 x (/.f64 x (+.f64 x (/.f64 y #s(literal 4 binary64))))) (/.f64 (/.f64 (*.f64 y y) #s(literal 16 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))
(-.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 y #s(literal 4 binary64)))
(fma.f64 x #s(literal 1 binary64) (/.f64 y #s(literal -4 binary64)))
(fma.f64 x (/.f64 x (+.f64 x (/.f64 y #s(literal 4 binary64)))) (neg.f64 (/.f64 (/.f64 (*.f64 y y) #s(literal 16 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))
(fma.f64 x (/.f64 (*.f64 x x) (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64)))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64))))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 (/.f64 y #s(literal 4 binary64)) #s(literal -1 binary64) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/4 binary64) x)
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64)))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64))))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 4 binary64)))) (neg.f64 (/.f64 (/.f64 (*.f64 y y) #s(literal 16 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))
(fma.f64 (*.f64 x x) (/.f64 x (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64)))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64))))))
(fma.f64 #s(literal 1 binary64) x (/.f64 y #s(literal -4 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -4 binary64)) x)
(fma.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) y) x)
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y #s(literal 4 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64)))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -16 binary64) y)))) (+.f64 x (/.f64 y #s(literal -4 binary64))) (neg.f64 (/.f64 (/.f64 (*.f64 y y) #s(literal 16 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 #s(literal 4 binary64) y))) (neg.f64 (/.f64 (/.f64 (*.f64 y y) #s(literal 16 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (*.f64 (+.f64 x (/.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 x (/.f64 y #s(literal 4 binary64))) (+.f64 x (/.f64 y #s(literal 4 binary64)))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64)) (*.f64 x x)))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 (+.f64 x (/.f64 y #s(literal 4 binary64))) (+.f64 x (/.f64 y #s(literal 4 binary64))))))) (-.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64))))))
(neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64))))))
(neg.f64 (/.f64 (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -16 binary64) y))) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 y #s(literal 4 binary64))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 (*.f64 y y) #s(literal 16 binary64))) (+.f64 x (/.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal -4 binary64)))) #s(literal 1 binary64)))
(/.f64 (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -16 binary64) y))) (+.f64 x (/.f64 y #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal -4 binary64))))))
(/.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64)))))
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 (*.f64 y y) #s(literal 16 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (+.f64 (/.f64 (*.f64 y y) #s(literal 16 binary64)) (-.f64 (*.f64 x x) (/.f64 x (/.f64 #s(literal -4 binary64) y)))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 262144 binary64))) (*.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 4096 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 4096 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (+.f64 x (/.f64 y #s(literal 4 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 y y) #s(literal 16 binary64)) (+.f64 (*.f64 x x) (/.f64 (*.f64 y y) #s(literal 16 binary64)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 256 binary64))) (*.f64 (+.f64 x (/.f64 y #s(literal 4 binary64))) (+.f64 (*.f64 x x) (/.f64 (*.f64 y y) #s(literal 16 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64)))) (*.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64))) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)))) (*.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64))) (+.f64 (*.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 y #s(literal 4 binary64)))) (*.f64 (+.f64 x (/.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 y y) #s(literal 16 binary64)))) (*.f64 (+.f64 x (/.f64 y #s(literal 4 binary64))) (+.f64 x (/.f64 y #s(literal 4 binary64)))))
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(*.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) #s(literal -1/4 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) #s(literal -1/4 binary64))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))) (exp.f64 (log.f64 #s(literal -1/4 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/4 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) (exp.f64 (log.f64 y)))

simplify343.0ms (15.6%)

Memory
9.8MiB live, 318.4MiB allocated
Algorithm
1×egg-herbie
Rules
3 160×accelerator-lowering-fma.f32
3 160×accelerator-lowering-fma.f64
2 584×*-lowering-*.f32
2 584×*-lowering-*.f64
2 384×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025138
168138
2170138
3455138
41250138
52461138
63264138
73600138
83896138
94079138
105224138
116020138
126788138
137056138
147836138
08372120
Stop Event
1×iter limit
1×node limit
Counts
36 → 36
Calls
Call 1
Inputs
(* -1/4 y)
(- x (* 1/4 y))
(- x (* 1/4 y))
(- x (* 1/4 y))
x
(* x (+ 1 (* -1/4 (/ y x))))
(* x (+ 1 (* -1/4 (/ y x))))
(* x (+ 1 (* -1/4 (/ y x))))
x
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
x
(+ x (* -1/4 y))
(+ x (* -1/4 y))
(+ x (* -1/4 y))
(* -1/4 y)
(* y (- (/ x y) 1/4))
(* y (- (/ x y) 1/4))
(* y (- (/ x y) 1/4))
(* -1/4 y)
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
Outputs
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(- x (* 1/4 y))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(- x (* 1/4 y))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(- x (* 1/4 y))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
x
(* x (+ 1 (* -1/4 (/ y x))))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(* x (+ 1 (* -1/4 (/ y x))))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(* x (+ 1 (* -1/4 (/ y x))))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
x
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
x
(+ x (* -1/4 y))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(+ x (* -1/4 y))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(+ x (* -1/4 y))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* y (- (/ x y) 1/4))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(* y (- (/ x y) 1/4))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(* y (- (/ x y) 1/4))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))

eval18.0ms (0.8%)

Memory
6.0MiB live, 44.1MiB allocated
Compiler

Compiled 3 719 to 386 computations (89.6% saved)

prune19.0ms (0.9%)

Memory
-3.2MiB live, 37.8MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1642166
Fresh000
Picked011
Done000
Total1643167
Accuracy
100.0%
Counts
167 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x (/.f64 y #s(literal 4 binary64)))
▶50.7%
(*.f64 #s(literal -1/4 binary64) y)
▶49.8%
x
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify3.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal -1/4 binary64) y)
Rules
4×*-lowering-*.f32
4×*-lowering-*.f64
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
156
056
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
x
(* -1/4 y)
-1/4
y
Outputs
x
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
-1/4
#s(literal -1/4 binary64)
y

localize14.0ms (0.7%)

Memory
-13.1MiB live, 23.7MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal -1/4 binary64) y)
Samples
10.0ms256×0valid
Compiler

Compiled 8 to 6 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 2.0ms (92.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Counts
1 → 12
Calls
Call 1
Inputs
#<alt (* -1/4 y)>
Outputs
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
y
@0
(* -1/4 y)
0.0ms
y
@inf
(* -1/4 y)
0.0ms
y
@-inf
(* -1/4 y)

rewrite8.0ms (0.4%)

Memory
12.8MiB live, 12.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4×*-lowering-*.f32
4×*-lowering-*.f64
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
143
043
Stop Event
1×iter limit
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(* -1/4 y)
Outputs
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 y #s(literal -1/4 binary64))

simplify4.0ms (0.2%)

Memory
11.6MiB live, 11.6MiB allocated
Algorithm
1×egg-herbie
Rules
4×*-lowering-*.f32
4×*-lowering-*.f64
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0336
1436
0436
Stop Event
1×iter limit
1×saturated
Counts
12 → 12
Calls
Call 1
Inputs
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
Outputs
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)

eval4.0ms (0.2%)

Memory
-33.4MiB live, 3.2MiB allocated
Compiler

Compiled 44 to 5 computations (88.6% saved)

prune3.0ms (0.1%)

Memory
5.8MiB live, 5.9MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New14014
Fresh000
Picked022
Done011
Total14317
Accuracy
100.0%
Counts
17 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x (/.f64 y #s(literal 4 binary64)))
✓50.7%
(*.f64 #s(literal -1/4 binary64) y)
✓49.8%
x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes8.0ms (0.4%)

Memory
17.0MiB live, 17.0MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal -1/4 binary64) y)
(-.f64 x (/.f64 y #s(literal 4 binary64)))
Outputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
Calls

4 calls:

2.0ms
(-.f64 x (/.f64 y #s(literal 4 binary64)))
2.0ms
(/.f64 y #s(literal 4 binary64))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 x (/.f64 y #s(literal 4 binary64)))
100.0%1(/.f64 y #s(literal 4 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes3.0ms (0.2%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal -1/4 binary64) y)
Outputs
(*.f64 #s(literal -1/4 binary64) y)
x
(*.f64 #s(literal -1/4 binary64) y)
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
77.8%3x
81.8%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.2%)

Memory
-28.4MiB live, 10.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

2 calls:

3.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
49.8%1x
49.8%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch20.0ms (0.9%)

Memory
38.2MiB live, 38.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
6547521631283004.0
9.766869886170877e+21
9.0ms
-1.4501053150581276e-13
-3.0049991865601227e-19
Samples
9.0ms288×0valid
Compiler

Compiled 190 to 154 computations (18.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (53.8% of total)
ival-sub: 1.0ms (26.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify38.0ms (1.7%)

Memory
-47.3MiB live, 23.5MiB allocated
Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
8×+-commutative_binary64
8×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01319
11919
22819
33419
43919
54119
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(if (<=.f64 y #s(literal -7098843361278085/40564819207303340847894502572032 binary64)) (*.f64 #s(literal -1/4 binary64) y) (if (<=.f64 y #s(literal 38000000000000000 binary64)) x (*.f64 #s(literal -1/4 binary64) y)))
x
Outputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(if (<=.f64 y #s(literal -7098843361278085/40564819207303340847894502572032 binary64)) (*.f64 #s(literal -1/4 binary64) y) (if (<=.f64 y #s(literal 38000000000000000 binary64)) x (*.f64 #s(literal -1/4 binary64) y)))
(if (<=.f64 y #s(literal -7098843361278085/40564819207303340847894502572032 binary64)) (*.f64 y #s(literal -1/4 binary64)) (if (<=.f64 y #s(literal 38000000000000000 binary64)) x (*.f64 y #s(literal -1/4 binary64))))
x

soundness619.0ms (28.3%)

Memory
-12.8MiB live, 380.2MiB allocated
Rules
3 160×accelerator-lowering-fma.f32
3 160×accelerator-lowering-fma.f64
2 584×*-lowering-*.f32
2 584×*-lowering-*.f64
2 384×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025138
168138
2170138
3455138
41250138
52461138
63264138
73600138
83896138
94079138
105224138
116020138
126788138
137056138
147836138
08372120
Stop Event
1×done
1×iter limit
1×node limit
Compiler

Compiled 34 to 21 computations (38.2% saved)

preprocess28.0ms (1.3%)

Memory
30.8MiB live, 68.7MiB allocated
Compiler

Compiled 60 to 36 computations (40% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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