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

Time bar (total: 3.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze11.0ms (0.3%)

Memory
-23.5MiB live, 15.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
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)

sample704.0ms (19.6%)

Memory
-144.2MiB live, 674.5MiB allocated
Samples
323.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-div: 66.0ms (47% of total)
ival-mult: 60.0ms (42.7% of total)
ival-true: 6.0ms (4.3% of total)
exact: 5.0ms (3.6% of total)
ival-assert: 3.0ms (2.1% of total)
Bogosity

explain45.0ms (1.3%)

Memory
28.1MiB live, 66.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 y #s(literal 3 binary64))
00-0-y
00-0-#s(literal 3 binary64)
00-0-(/.f64 x (*.f64 y #s(literal 3 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 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (47.6% of total)
ival-mult: 4.0ms (47.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess51.0ms (1.4%)

Memory
-9.9MiB live, 27.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01331
14025
210325
332825
497425
5158825
6181425
7184925
8188725
9191925
055
075
1105
2125
0125
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Outputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 x (*.f64 #s(literal 3 binary64) y))
Symmetry

(negabs y)

(negabs x)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 3 binary64))
cost-diff0
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
11011
21211
01211
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
x
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
Outputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 x (*.f64 #s(literal 3 binary64) y))
x
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
y
#s(literal 3 binary64)

localize13.0ms (0.4%)

Memory
18.7MiB live, 18.7MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y #s(literal 3 binary64))
accuracy0.2109375
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Samples
9.0ms256×0valid
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 (51.2% of total)
ival-mult: 2.0ms (51.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.3%)

Memory
-27.9MiB live, 9.3MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
((/ x (* y 3)) (* y 3))
1.0ms
x
@-inf
((/ x (* y 3)) (* y 3))
1.0ms
y
@0
((/ x (* y 3)) (* y 3))
1.0ms
y
@inf
((/ x (* y 3)) (* y 3))
1.0ms
x
@inf
((/ x (* y 3)) (* y 3))

simplify3.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07156
111156
213156
315156
416156
016156
Stop Event
iter limit
saturated
Counts
36 → 36
Calls
Call 1
Inputs
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
Outputs
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))

rewrite74.0ms (2.1%)

Memory
11.3MiB live, 93.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1188
2798
33918
023158
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
2 → 155
Calls
Call 1
Inputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 y #s(literal 3 binary64))
Outputs
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eval19.0ms (0.5%)

Memory
14.0MiB live, 52.7MiB allocated
Compiler

Compiled 1 735 to 363 computations (79.1% saved)

prune10.0ms (0.3%)

Memory
-8.6MiB live, 29.9MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1856191
Fresh000
Picked011
Done000
Total1857192
Accuracy
100.0%
Counts
192 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (/.f64 x y) #s(literal 3 binary64))
61.8%
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 #s(literal -3 binary64) y) x))
99.7%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x))
99.6%
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
99.6%
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
99.5%
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64)))
Compiler

Compiled 83 to 79 computations (4.8% saved)

simplify31.0ms (0.9%)

Memory
-30.6MiB live, 24.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(/.f64 (*.f64 #s(literal 3 binary64) y) x)
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x))
cost-diff0
(*.f64 x #s(literal -1/3 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff320
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64)))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
cost-diff0
(/.f64 #s(literal 1/3 binary64) y)
cost-diff0
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
cost-diff0
(/.f64 x y)
cost-diff384
(/.f64 (/.f64 x y) #s(literal 3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01869
02965
14965
27665
310565
419365
526265
634465
740265
844465
949165
1052165
1154165
1254365
054365
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x y)
x
y
#s(literal 3 binary64)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(/.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
y
x
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/.f64 x y)
x
y
#s(literal 1/3 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(*.f64 x #s(literal -1/3 binary64))
x
#s(literal -1/3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
x
Outputs
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 x y)
x
y
#s(literal 3 binary64)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
y
x
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 x y)
x
y
#s(literal 1/3 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(*.f64 x #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) x)
x
#s(literal -1/3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
x

localize51.0ms (1.4%)

Memory
20.6MiB live, 98.2MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal 3 binary64) y)
accuracy0.203125
(/.f64 (*.f64 #s(literal 3 binary64) y) x)
accuracy0.36404002313768025
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x))
accuracy0
(/.f64 #s(literal -1 binary64) y)
accuracy0.265625
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64)))
accuracy0.37890625
(*.f64 x #s(literal -1/3 binary64))
accuracy0
(/.f64 x y)
accuracy0.26171875
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
accuracy0.15234375
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
accuracy0.39453125
(/.f64 #s(literal 1/3 binary64) y)
accuracy0
(/.f64 x y)
accuracy0.20703125
(/.f64 (/.f64 x y) #s(literal 3 binary64))
Samples
41.0ms256×0valid
Compiler

Compiled 71 to 20 computations (71.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 10.0ms (37.4% of total)
ival-mult: 9.0ms (33.6% of total)
const: 6.0ms (22.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.4%)

Memory
-16.2MiB live, 21.8MiB allocated
Counts
11 → 216
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal -1/3 binary64)) (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
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#s(alt (* 3 (/ y x)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/3 binary64)) (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/3 binary64)) (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/3 binary64)) (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/3 binary64)) (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((/ (/ x y) 3) (/ x y) (* (/ 1/3 y) x) (/ 1/3 y) (* (/ x y) 1/3) (* (/ -1 y) (* x -1/3)) (/ -1 y) (* x -1/3) (/ 1 (/ (* 3 y) x)) (/ (* 3 y) x) (* 3 y))
3.0ms
x
@-inf
((/ (/ x y) 3) (/ x y) (* (/ 1/3 y) x) (/ 1/3 y) (* (/ x y) 1/3) (* (/ -1 y) (* x -1/3)) (/ -1 y) (* x -1/3) (/ 1 (/ (* 3 y) x)) (/ (* 3 y) x) (* 3 y))
2.0ms
y
@0
((/ (/ x y) 3) (/ x y) (* (/ 1/3 y) x) (/ 1/3 y) (* (/ x y) 1/3) (* (/ -1 y) (* x -1/3)) (/ -1 y) (* x -1/3) (/ 1 (/ (* 3 y) x)) (/ (* 3 y) x) (* 3 y))
1.0ms
y
@-inf
((/ (/ x y) 3) (/ x y) (* (/ 1/3 y) x) (/ 1/3 y) (* (/ x y) 1/3) (* (/ -1 y) (* x -1/3)) (/ -1 y) (* x -1/3) (/ 1 (/ (* 3 y) x)) (/ (* 3 y) x) (* 3 y))
1.0ms
y
@inf
((/ (/ x y) 3) (/ x y) (* (/ 1/3 y) x) (/ 1/3 y) (* (/ x y) 1/3) (* (/ -1 y) (* x -1/3)) (/ -1 y) (* x -1/3) (/ 1 (/ (* 3 y) x)) (/ (* 3 y) x) (* 3 y))

simplify8.0ms (0.2%)

Memory
12.1MiB live, 12.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014936
121936
225936
327936
428936
028936
Stop Event
iter limit
saturated
Counts
216 → 216
Calls
Call 1
Inputs
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 (/ y x))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 (/ y x))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 (/ y x))
(* 3 (/ y x))
Outputs
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 3 (/ y x))
(*.f64 (/.f64 y x) #s(literal 3 binary64))
(* 3 (/ y x))
(*.f64 (/.f64 y x) #s(literal 3 binary64))
(* 3 (/ y x))
(*.f64 (/.f64 y x) #s(literal 3 binary64))
(* 3 (/ y x))
(*.f64 (/.f64 y x) #s(literal 3 binary64))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 3 (/ y x))
(*.f64 (/.f64 y x) #s(literal 3 binary64))
(* 3 (/ y x))
(*.f64 (/.f64 y x) #s(literal 3 binary64))
(* 3 (/ y x))
(*.f64 (/.f64 y x) #s(literal 3 binary64))
(* 3 (/ y x))
(*.f64 (/.f64 y x) #s(literal 3 binary64))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
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(* 1/3 (/ x y))
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(* 1/3 (/ x y))
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(*.f64 (/.f64 y x) #s(literal 3 binary64))
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rewrite119.0ms (3.3%)

Memory
-3.4MiB live, 145.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01849
02945
18445
231745
3132045
4638145
0800945
Stop Event
iter limit
node limit
iter limit
Counts
11 → 1 513
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x y)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(/.f64 #s(literal 1/3 binary64) y)
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal -1 binary64) y)
(*.f64 x #s(literal -1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x))
(/.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
Outputs
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eval224.0ms (6.2%)

Memory
10.5MiB live, 362.3MiB allocated
Compiler

Compiled 21 675 to 2 068 computations (90.5% saved)

prune45.0ms (1.3%)

Memory
12.3MiB live, 130.0MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1 86611 867
Fresh101
Picked055
Done011
Total1 86771 874
Accuracy
100.0%
Counts
1 874 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (/.f64 x y) #s(literal 3 binary64))
99.7%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x))
99.6%
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
99.6%
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
99.5%
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64)))
60.9%
(*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
Compiler

Compiled 43 to 41 computations (4.7% saved)

simplify183.0ms (5.1%)

Memory
-6.0MiB live, 114.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 x (*.f64 y y))
cost-diff0
(*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
cost-diff640
(*.f64 (/.f64 x (*.f64 y y)) y)
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0727
01127
11927
24621
39519
417919
548119
6155519
7248719
8261819
9278419
10303619
11339319
12386419
13447019
14500319
15522919
16532119
17542919
18556619
19606319
20711519
21763619
22788019
0800319
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
(*.f64 (/.f64 x (*.f64 y y)) y)
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(literal 1/3 binary64)
Outputs
(*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(*.f64 (/.f64 x (*.f64 y y)) y)
(/.f64 x y)
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(literal 1/3 binary64)

localize23.0ms (0.6%)

Memory
-2.8MiB live, 35.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y y)
accuracy0.26171875
(*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
accuracy10.555090913027021
(/.f64 x (*.f64 y y))
accuracy14.19301022956522
(*.f64 (/.f64 x (*.f64 y y)) y)
Samples
18.0ms256×0valid
Compiler

Compiled 29 to 9 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (44.5% of total)
const: 5.0ms (44.5% of total)
ival-div: 2.0ms (17.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
14.1MiB live, 14.1MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
Outputs
#s(alt (/ x y) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 y y)) y) (patch (*.f64 (/.f64 x (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((* (/ x (* y y)) y) (* (* (/ x (* y y)) y) 1/3) (/ x (* y y)) (* y y))
1.0ms
x
@-inf
((* (/ x (* y y)) y) (* (* (/ x (* y y)) y) 1/3) (/ x (* y y)) (* y y))
1.0ms
x
@0
((* (/ x (* y y)) y) (* (* (/ x (* y y)) y) 1/3) (/ x (* y y)) (* y y))
1.0ms
y
@inf
((* (/ x (* y y)) y) (* (* (/ x (* y y)) y) 1/3) (/ x (* y y)) (* y y))
1.0ms
y
@-inf
((* (/ x (* y y)) y) (* (* (/ x (* y y)) y) 1/3) (/ x (* y y)) (* y y))

simplify4.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08348
112348
215348
317348
418348
018348
Stop Event
iter limit
saturated
Counts
84 → 84
Calls
Call 1
Inputs
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
Outputs
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)

rewrite96.0ms (2.7%)

Memory
-28.6MiB live, 89.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0724
01124
12924
213816
375116
0390016
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
4 → 304
Calls
Call 1
Inputs
(*.f64 (/.f64 x (*.f64 y y)) y)
(*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
(/.f64 x (*.f64 y y))
(*.f64 y y)
Outputs
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eval51.0ms (1.4%)

Memory
14.3MiB live, 92.0MiB allocated
Compiler

Compiled 4 300 to 938 computations (78.2% saved)

prune16.0ms (0.4%)

Memory
-3.9MiB live, 34.6MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New3871388
Fresh000
Picked011
Done156
Total3887395
Accuracy
100.0%
Counts
395 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (/.f64 x y) #s(literal 3 binary64))
99.7%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
99.6%
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
99.6%
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
99.5%
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64)))
60.9%
(*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
99.6%
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)))
Compiler

Compiled 43 to 41 computations (4.7% saved)

simplify9.0ms (0.2%)

Memory
8.8MiB live, 8.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)))
cost-diff320
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
01015
11715
23115
34615
45415
57115
68915
710615
812315
915215
1018515
1119915
1221215
1321215
021215
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)))
x
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
#s(literal -1/3 binary64)
Outputs
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
x
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))
(/.f64 #s(literal 1/3 binary64) y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
#s(literal -1/3 binary64)

localize24.0ms (0.7%)

Memory
-10.0MiB live, 29.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal -1 binary64) y)
accuracy0.15234375
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)))
accuracy0.3671875
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))
Samples
16.0ms256×0valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (32.9% of total)
const: 3.0ms (32.9% of total)
ival-div: 2.0ms (21.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
3 → 48
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
Outputs
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) (patch (*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@0
((* (/ -1 y) -1/3) (* x (* (/ -1 y) -1/3)) (/ -1 y))
1.0ms
y
@inf
((* (/ -1 y) -1/3) (* x (* (/ -1 y) -1/3)) (/ -1 y))
0.0ms
y
@-inf
((* (/ -1 y) -1/3) (* x (* (/ -1 y) -1/3)) (/ -1 y))
0.0ms
x
@inf
((* (/ -1 y) -1/3) (* x (* (/ -1 y) -1/3)) (/ -1 y))
0.0ms
x
@-inf
((* (/ -1 y) -1/3) (* x (* (/ -1 y) -1/3)) (/ -1 y))

simplify4.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08192
111192
213192
314192
415192
015192
Stop Event
iter limit
saturated
Counts
48 → 48
Calls
Call 1
Inputs
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
Outputs
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))

rewrite537.0ms (15%)

Memory
-13.3MiB live, 115.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
01011
12511
28111
329511
4116111
0515211
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
3 → 1 229
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)))
(/.f64 #s(literal -1 binary64) y)
Outputs
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eval586.0ms (16.4%)

Memory
23.7MiB live, 241.6MiB allocated
Compiler

Compiled 20 213 to 2 423 computations (88% saved)

prune39.0ms (1.1%)

Memory
-22.8MiB live, 67.8MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1 27701 277
Fresh000
Picked011
Done066
Total1 27771 284
Accuracy
100.0%
Counts
1 284 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (/.f64 x y) #s(literal 3 binary64))
99.7%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
99.6%
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
99.6%
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
99.5%
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64)))
60.9%
(*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
99.6%
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)))
Compiler

Compiled 103 to 73 computations (29.1% saved)

regimes14.0ms (0.4%)

Memory
32.4MiB live, 32.4MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 #s(literal -3 binary64) y) x))
Outputs
(/.f64 (/.f64 x y) #s(literal 3 binary64))
Calls

4 calls:

4.0ms
(*.f64 y #s(literal 3 binary64))
3.0ms
y
3.0ms
x
3.0ms
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1(/.f64 x (*.f64 y #s(literal 3 binary64)))
99.7%1(*.f64 y #s(literal 3 binary64))
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes11.0ms (0.3%)

Memory
-15.3MiB live, 23.4MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64)))
Outputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Calls

4 calls:

4.0ms
(*.f64 y #s(literal 3 binary64))
2.0ms
y
2.0ms
x
2.0ms
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1(/.f64 x (*.f64 y #s(literal 3 binary64)))
99.7%1(*.f64 y #s(literal 3 binary64))
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes7.0ms (0.2%)

Memory
16.0MiB live, 16.0MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
Outputs
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
Calls

4 calls:

2.0ms
(*.f64 y #s(literal 3 binary64))
2.0ms
x
2.0ms
y
2.0ms
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1(/.f64 x (*.f64 y #s(literal 3 binary64)))
99.6%1(*.f64 y #s(literal 3 binary64))
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes7.0ms (0.2%)

Memory
-21.3MiB live, 16.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
Outputs
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
Calls

4 calls:

3.0ms
(/.f64 x (*.f64 y #s(literal 3 binary64)))
1.0ms
y
1.0ms
(*.f64 y #s(literal 3 binary64))
1.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1(/.f64 x (*.f64 y #s(literal 3 binary64)))
99.6%1(*.f64 y #s(literal 3 binary64))
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify26.0ms (0.7%)

Memory
24.0MiB live, 66.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01120
11420
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
Outputs
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)

soundness391.0ms (10.9%)

Memory
-4.9MiB live, 71.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1188
2798
33918
023158
Stop Event
done
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 50 to 34 computations (32% saved)

preprocess105.0ms (2.9%)

Memory
-20.0MiB live, 102.8MiB allocated
Remove

(negabs x)

(negabs y)

Compiler

Compiled 120 to 102 computations (15% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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