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

Time bar (total: 2.8s)

analyze9.0ms (0.3%)

Memory
22.0MiB live, 22.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 7 to 7 computations (0% saved)

sample895.0ms (31.9%)

Memory
8.3MiB live, 730.1MiB allocated
Samples
697.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-mult: 75.0ms (48.2% of total)
ival-div: 67.0ms (43.1% of total)
ival-true: 6.0ms (3.9% of total)
exact: 4.0ms (2.6% of total)
ival-assert: 3.0ms (1.9% of total)
Bogosity

preprocess56.0ms (2%)

Memory
-16.7MiB live, 59.3MiB allocated
Algorithm
1×egg-herbie
Rules
514×times-frac
314×associate-*l*
304×associate-*r*
244×associate-/r*
154×div-sub
Iterations

Useful iterations: 0 (0.0ms)

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

(negabs y)

(negabs x)

explain52.0ms (1.9%)

Memory
-2.7MiB live, 80.3MiB 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
24.0ms512×0valid
Compiler

Compiled 40 to 24 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 6.0ms (46.6% of total)
ival-mult: 6.0ms (46.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify5.0ms (0.2%)

Memory
6.2MiB live, 6.2MiB allocated
Algorithm
1×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)))
Rules
10×lower-/.f32
8×lower-/.f64
4×lower-*.f32
4×associate-/r*
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

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

localize19.0ms (0.7%)

Memory
-14.7MiB live, 23.0MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y #s(literal 3 binary64))
✓accuracy99.7%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Samples
13.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (67.4% of total)
ival-div: 2.0ms (27% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.2%)

Memory
7.7MiB live, 7.7MiB 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 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>) () ())) ())
#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 (* 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 (* 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 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 (* 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 (* 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>) () ())) ())
Calls

9 calls:

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

simplify5.0ms (0.2%)

Memory
6.3MiB live, 6.3MiB allocated
Algorithm
1×egg-herbie
Rules
16×lower-*.f64
16×lower-*.f32
8×*-commutative
6×lower-/.f32
6×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite107.0ms (3.8%)

Memory
0.5MiB live, 115.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 060×lower-*.f32
1 058×lower-*.f64
898×lower-/.f32
896×lower-/.f64
212×frac-2neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1188
2798
33918
023158
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
2 → 155
Calls
Call 1
Inputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 y #s(literal 3 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal 3 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 0 binary64)) (/.f64 x (*.f64 y #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) x))))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -3 binary64))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal 3 binary64))))
(neg.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (*.f64 y #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) x))
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -3 binary64) x)))
(/.f64 (/.f64 x (neg.f64 y)) #s(literal -3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
(/.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
(/.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(/.f64 #s(literal -1/3 binary64) (/.f64 y (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y #s(literal -3 binary64)) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -3 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 y #s(literal -3 binary64)) x))
(/.f64 (*.f64 x #s(literal -1/3 binary64)) (neg.f64 y))
(/.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y (/.f64 #s(literal -3 binary64) x))) (*.f64 y #s(literal -3 binary64))) (*.f64 (*.f64 y #s(literal -3 binary64)) (*.f64 y (/.f64 #s(literal -3 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) x)) (*.f64 (*.f64 y y) #s(literal 9 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (neg.f64 x))) (*.f64 (*.f64 y #s(literal -3 binary64)) (*.f64 y #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 x y))) (*.f64 (*.f64 y #s(literal -3 binary64)) #s(literal -3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 x (neg.f64 y)))) (*.f64 (*.f64 y #s(literal -3 binary64)) #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 y #s(literal -3 binary64)) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 y #s(literal -3 binary64)) y))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 y #s(literal -3 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 y #s(literal -3 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x x) #s(literal -3 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) y))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) y)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x (*.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal -3 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) y)) (*.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y #s(literal -3 binary64)) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 y #s(literal -3 binary64)) x))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -3 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 #s(literal -3 binary64) x))
(/.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 (neg.f64 y) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 x x))) (*.f64 (neg.f64 y) x))
(/.f64 (*.f64 #s(literal -1/3 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (neg.f64 (*.f64 x x))) (*.f64 y x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 #s(literal 3 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))) (/.f64 x (*.f64 y #s(literal -3 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -3 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))) (/.f64 x (*.f64 y #s(literal -3 binary64))))) (/.f64 x (*.f64 y #s(literal -3 binary64))))
(/.f64 (*.f64 #s(literal -1/3 binary64) x) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) (neg.f64 (*.f64 x x))) x)
(/.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) y)) x)
(/.f64 (/.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) y)
(pow.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) x))) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/3 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y #s(literal -3 binary64))))
(*.f64 (/.f64 x (neg.f64 y)) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal -1 binary64))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 x (neg.f64 y)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -1/2 binary64)) x))
(*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) (pow.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 y y) #s(literal 9 binary64))))) (*.f64 (*.f64 y y) #s(literal 9 binary64)))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)))) (*.f64 y #s(literal 3 binary64)))
(+.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 3 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal 3 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -3 binary64)))
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) y #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal -3 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal -3 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal -3 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -3 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -3 binary64) #s(literal 0 binary64))
(neg.f64 (*.f64 y #s(literal -3 binary64)))
(/.f64 y #s(literal 1/3 binary64))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 y #s(literal -3 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) y))
(/.f64 (neg.f64 y) #s(literal -1/3 binary64))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 y y) #s(literal 9 binary64)))) (neg.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 y y) #s(literal 9 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64))) (*.f64 y #s(literal -3 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 y y) #s(literal 9 binary64))))) (*.f64 (*.f64 y y) #s(literal 9 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)))) (*.f64 y #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 y y) #s(literal 9 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y #s(literal -3 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 y y) #s(literal 9 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 y y) #s(literal 9 binary64))))) (*.f64 (*.f64 y y) #s(literal 9 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)))) (*.f64 y #s(literal 3 binary64)))
(pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 y #s(literal -3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal -3 binary64)))
(*.f64 (neg.f64 y) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (neg.f64 y))
(*.f64 #s(literal -3 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -3 binary64))

eval42.0ms (1.5%)

Memory
-9.3MiB live, 27.9MiB allocated
Compiler

Compiled 1 791 to 365 computations (79.6% saved)

prune62.0ms (2.2%)

Memory
9.4MiB live, 47.9MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1847191
Fresh000
Picked011
Done000
Total1848192
Accuracy
100.0%
Counts
192 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.7%
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y))
▶99.6%
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓99.7%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
▶99.6%
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
99.2%
(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -3 binary64) x)))
▶99.6%
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
▶99.4%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/3 binary64)))
▶99.5%
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
Compiler

Compiled 123 to 89 computations (27.6% saved)

simplify7.0ms (0.2%)

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

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 y x)
✓cost-diff384
(/.f64 #s(literal 1/3 binary64) (/.f64 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 #s(literal 1/3 binary64))
✓cost-diff0
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
Rules
48×lower-*.f32
40×lower-*.f64
26×associate-*r*
18×*-commutative
16×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01461
02459
13559
24959
37159
47859
57859
07859
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(*.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
y
(*.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 1/3 binary64) (/.f64 y x))
#s(literal 1/3 binary64)
(/.f64 y x)
y
x
Outputs
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(*.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
y
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(/.f64 (*.f64 x #s(literal 1/3 binary64)) 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 (*.f64 x #s(literal 1/3 binary64)) 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 (*.f64 x #s(literal 1/3 binary64)) y)
(/.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 1/3 binary64) (/.f64 y x))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
#s(literal 1/3 binary64)
(/.f64 y x)
y
x

localize60.0ms (2.1%)

Memory
-6.9MiB live, 112.7MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 y x)
✓accuracy99.6%
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/3 binary64)))
✓accuracy99.6%
(*.f64 x #s(literal 1/3 binary64))
✓accuracy100.0%
(/.f64 x y)
✓accuracy99.6%
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) y)
✓accuracy99.8%
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓accuracy99.6%
(*.f64 x #s(literal 1/3 binary64))
Samples
38.0ms256×0valid
Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 10.0ms (50.6% of total)
ival-mult: 6.0ms (30.4% of total)
const: 4.0ms (20.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.4%)

Memory
-11.9MiB live, 26.3MiB allocated
Counts
10 → 204
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 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 (/.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 x y) (patch (/.f64 x y) #<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 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 x) (taylor 0 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 0 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 0 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 0 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) (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) (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 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 (/ 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 (/ 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 (/ x y)) (taylor 0 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 0 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 0 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 0 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 #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 #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 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 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 0 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 0 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 0 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 0 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 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 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 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 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 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 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 (/ 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 (/ x y) (taylor -inf x) (#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 (/ x y) (taylor 0 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 (/ 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 (/ x y) (taylor -inf 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 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 (* 1/3 (/ 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 (* 1/3 (/ 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 (* 1/3 (/ x y)) (taylor 0 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 0 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 0 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 0 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 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 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 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 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 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 y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (patch (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
Calls

51 calls:

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

simplify9.0ms (0.3%)

Memory
25.1MiB live, 25.1MiB allocated
Algorithm
1×egg-herbie
Rules
12×lower-*.f64
12×lower-*.f32
10×lower-/.f32
10×lower-/.f64
6×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010852
115852
216852
317852
017852
Stop Event
1×iter limit
1×saturated
Counts
204 → 204
Calls
Call 1
Inputs
(* 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 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)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 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))
(* 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 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 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 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))
(* 1/3 (/ 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 y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ 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 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 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 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))
(* 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))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
Outputs
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) 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 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 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 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x 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 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) 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 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 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 y)
(/.f64 #s(literal 1 binary64) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)

rewrite188.0ms (6.7%)

Memory
7.5MiB live, 323.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 080×lower-*.f32
2 072×lower-*.f64
1 376×log-div
1 232×log-prod
1 126×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01442
02440
16540
223140
392140
4500940
0893540
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 1 179
Calls
Call 1
Inputs
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(*.f64 x #s(literal 1/3 binary64))
(*.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 x y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
(/.f64 y x)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) x) y))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) y)) (/.f64 (*.f64 #s(literal 1/3 binary64) x) y))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) x) y))
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) x) y))
(exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) x) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) x) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (*.f64 #s(literal 1/3 binary64) x)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (*.f64 #s(literal 1/3 binary64) x)) (/.f64 y (*.f64 #s(literal 1/3 binary64) x)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) x) y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (*.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (*.f64 #s(literal 1/3 binary64) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 (*.f64 #s(literal 1/3 binary64) x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) x) y))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) y) (/.f64 (*.f64 #s(literal 1/3 binary64) x) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) x) y))
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) x) y))
(neg.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) x) y))
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/3 binary64) x)))
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 #s(literal 1/3 binary64) x)))
(/.f64 #s(literal -1/3 binary64) (/.f64 y x))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
(/.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) #s(literal -1 binary64))
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 (/.f64 x y) #s(literal -3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x)))
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(fma.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 y (*.f64 x (*.f64 x x))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 y (*.f64 x x)) x #s(literal 0 binary64))
(neg.f64 (/.f64 y x))
(/.f64 y x)
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))))
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y y) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 y x))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) x))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 y y)))
(/.f64 (*.f64 y y) (*.f64 x y))
(/.f64 (*.f64 y y) (*.f64 y x))
(/.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) x) (*.f64 x (/.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) x))) (/.f64 x y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y x))) x)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) (*.f64 x (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (*.f64 x (/.f64 (*.f64 y y) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 (*.f64 y y) (*.f64 x x)))) (*.f64 x (/.f64 y x)))
(/.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y))
(/.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) y)
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/2 binary64))) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 y y))) (*.f64 y y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y)) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 x y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 y (*.f64 x (*.f64 x x))) (*.f64 x x))
(*.f64 (/.f64 y (*.f64 x x)) x)

eval191.0ms (6.8%)

Memory
1.6MiB live, 262.8MiB allocated
Compiler

Compiled 15 717 to 1 336 computations (91.5% saved)

prune114.0ms (4.1%)

Memory
2.4MiB live, 210.9MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New1 45131 454
Fresh202
Picked145
Done011
Total1 45481 462
Accuracy
100.0%
Counts
1 462 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶60.7%
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y))
✓99.6%
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓99.7%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓99.6%
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
✓99.6%
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
✓99.5%
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
▶66.8%
(*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
▶99.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))
Compiler

Compiled 66 to 46 computations (30.3% saved)

simplify189.0ms (6.7%)

Memory
-0.4MiB live, 232.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
✓cost-diff640
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y))
✓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)
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
Rules
5 400×lower-*.f32
5 386×lower-*.f64
3 276×lower-/.f32
3 270×lower-/.f64
1 886×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01569
02663
15153
212453
331653
4160053
5178953
6196253
7233953
8284153
9353453
10615453
11651853
12704153
13755153
0807353
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
#s(literal 1/3 binary64)
(*.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)
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x x)
x
#s(literal 1/3 binary64)
(*.f64 x y)
y
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 x y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
#s(literal 1/3 binary64)
(*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(*.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)
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(*.f64 x x)
x
#s(literal 1/3 binary64)
(*.f64 x y)
(*.f64 y x)
y

localize50.0ms (1.8%)

Memory
11.1MiB live, 88.2MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
✓accuracy61.4%
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y))
✓accuracy100.0%
(*.f64 y y)
✓accuracy99.6%
(*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
✓accuracy88.2%
(/.f64 x (*.f64 y y))
✓accuracy79.0%
(*.f64 (/.f64 x (*.f64 y y)) y)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
✓accuracy99.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))
Samples
32.0ms256×0valid
Compiler

Compiled 71 to 17 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 11.0ms (51.3% of total)
ival-div: 6.0ms (28% of total)
const: 3.0ms (14% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.5%)

Memory
-15.0MiB live, 24.1MiB allocated
Counts
11 → 216
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) 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 (/.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>) () ())
#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt (/ x y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
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#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 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 (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 (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 (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 (/ 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 (/ 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 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 (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 (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 (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 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 (* 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 (* x y) (taylor -inf x) (#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 (* x y) (taylor 0 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 (* 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 (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
Calls

54 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/ x (* y y))
1.0ms
x
@inf
(/ x (* y y))
0.0ms
y
@0
(/ x (* y y))
0.0ms
x
@-inf
(/ x (* y y))
0.0ms
x
@0
(* (* x x) 1/3)

simplify10.0ms (0.4%)

Memory
18.2MiB live, 18.2MiB allocated
Algorithm
1×egg-herbie
Rules
28×lower-*.f64
28×lower-*.f32
12×lower-/.f32
12×lower-/.f64
10×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013864
122864
228864
330864
431864
031864
Stop Event
1×iter limit
1×saturated
Counts
216 → 216
Calls
Call 1
Inputs
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ 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 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 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ 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 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))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ 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)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 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 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 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x 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 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 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 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 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 y)
(/.f64 #s(literal 1 binary64) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x 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 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 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)
(pow y 2)
(*.f64 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)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

rewrite134.0ms (4.8%)

Memory
-52.6MiB live, 138.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 320×lower-*.f32
1 306×lower-*.f64
1 050×lower-/.f32
1 044×lower-/.f64
456×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01559
02653
17643
234943
0223143
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
11 → 726
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) y)
(*.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)
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x x)
(*.f64 x y)
Outputs
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 y))) (/.f64 (*.f64 y x) (*.f64 y (neg.f64 y))))
(neg.f64 (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 y x) (*.f64 y (neg.f64 y))))
(neg.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 y y))) y))
(neg.f64 (*.f64 y (neg.f64 (/.f64 x (*.f64 y y)))))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y y) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 y (/.f64 (*.f64 y y) x))
(/.f64 y (*.f64 (/.f64 (*.f64 y (neg.f64 y)) x) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 x y)
(/.f64 x (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
(/.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x x) (*.f64 y x))
(/.f64 (*.f64 y x) (*.f64 y y))
(/.f64 (*.f64 y x) (*.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y (neg.f64 y)) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (neg.f64 y)) x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (neg.f64 x) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (neg.f64 y))))
(/.f64 (*.f64 x (neg.f64 y)) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 x (neg.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y))))
(/.f64 (neg.f64 y) (/.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 (neg.f64 y) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 y)) x)))
(/.f64 (neg.f64 y) (*.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (*.f64 (/.f64 (*.f64 y (neg.f64 y)) x) #s(literal 1 binary64)))
(/.f64 (/.f64 x y) #s(literal 1 binary64))
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(*.f64 (/.f64 (neg.f64 (*.f64 x x)) x) (/.f64 #s(literal 1/3 binary64) (neg.f64 y)))
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 y x)))
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 x x) (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (/.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 y x)))
(*.f64 (/.f64 x (neg.f64 x)) (*.f64 #s(literal -1/3 binary64) (/.f64 x y)))
(*.f64 (/.f64 (*.f64 x x) (neg.f64 x)) (/.f64 #s(literal -1/3 binary64) y))
(*.f64 (/.f64 (*.f64 x x) (neg.f64 y)) (/.f64 #s(literal -1/3 binary64) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 x)) (/.f64 (neg.f64 (*.f64 x x)) y))
(*.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 y)) (/.f64 (neg.f64 (*.f64 x x)) x))
(*.f64 (/.f64 (neg.f64 (*.f64 x x)) y) (/.f64 #s(literal 1/3 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 x x) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) x) (*.f64 #s(literal -1/3 binary64) (/.f64 x y)))
(*.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 3 binary64) x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) y))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) y)) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) x) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y (neg.f64 y))) (neg.f64 x))
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(neg.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(*.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(*.f64 (neg.f64 x) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) x)
(*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (neg.f64 (*.f64 x x)))
(*.f64 (neg.f64 (neg.f64 (*.f64 x x))) #s(literal 1/3 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y)))
(neg.f64 (*.f64 x (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y x) #s(literal 1 binary64))
(/.f64 (*.f64 x (neg.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 y)))
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 x))

eval110.0ms (3.9%)

Memory
12.6MiB live, 195.3MiB allocated
Compiler

Compiled 9 093 to 862 computations (90.5% saved)

prune104.0ms (3.7%)

Memory
1.6MiB live, 127.7MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New9420942
Fresh000
Picked033
Done055
Total9428950
Accuracy
100.0%
Counts
950 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓60.7%
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y))
✓99.6%
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓99.7%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
✓99.6%
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
✓99.6%
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
✓99.5%
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
✓66.8%
(*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
✓99.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))
Compiler

Compiled 142 to 82 computations (42.3% saved)

regimes15.0ms (0.5%)

Memory
22.9MiB live, 22.9MiB allocated
Counts
11 → 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 (*.f64 x #s(literal 1/3 binary64)) y)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) #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 y x))
(*.f64 (*.f64 (/.f64 x (*.f64 y y)) y) #s(literal 1/3 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x y))
(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -3 binary64) x)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y))
Outputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Calls

4 calls:

4.0ms
(*.f64 y #s(literal 3 binary64))
4.0ms
y
4.0ms
x
4.0ms
(/.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 18 to 13 computations (27.8% saved)

regimes9.0ms (0.3%)

Memory
-26.0MiB live, 13.3MiB 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:

4.0ms
y
2.0ms
(*.f64 y #s(literal 3 binary64))
1.0ms
x
1.0ms
(/.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 18 to 13 computations (27.8% saved)

regimes5.0ms (0.2%)

Memory
13.9MiB live, 13.9MiB 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:

1.0ms
(*.f64 y #s(literal 3 binary64))
1.0ms
y
1.0ms
(/.f64 x (*.f64 y #s(literal 3 binary64)))
1.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1(/.f64 x (*.f64 y #s(literal 3 binary64)))
99.5%1(*.f64 y #s(literal 3 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify6.0ms (0.2%)

Memory
13.7MiB live, 13.7MiB allocated
Algorithm
1×egg-herbie
Rules
6×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
11315
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.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 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)
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))

soundness115.0ms (4.1%)

Memory
-24.6MiB live, 94.2MiB allocated
Rules
1 060×lower-*.f32
1 058×lower-*.f64
898×lower-/.f32
896×lower-/.f64
212×frac-2neg
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 41 to 26 computations (36.6% saved)

preprocess206.0ms (7.4%)

Memory
14.6MiB live, 91.5MiB allocated
Remove

(negabs x)

(negabs y)

Compiler

Compiled 146 to 100 computations (31.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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