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

Time bar (total: 5.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze10.0ms (0.2%)

Memory
14.1MiB live, 14.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 7 to 7 computations (0% saved)

sample648.0ms (12.8%)

Memory
-143.8MiB live, 664.2MiB allocated
Samples
438.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 138.0ms
ival-div: 67.0ms (48.4% of total)
ival-mult: 58.0ms (41.9% of total)
ival-true: 6.0ms (4.3% of total)
exact: 5.0ms (3.6% of total)
ival-assert: 3.0ms (2.2% of total)
Bogosity

explain52.0ms (1%)

Memory
-19.1MiB live, 69.0MiB 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
19.0ms512×0valid
Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (49.3% of total)
ival-mult: 4.0ms (49.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess49.0ms (1%)

Memory
20.7MiB live, 59.0MiB 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)))
(/.f64 x (*.f64 #s(literal 3 binary64) y))
Symmetry

(negabs y)

(negabs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB 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)))
(/.f64 x (*.f64 #s(literal 3 binary64) y))
x
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
y
#s(literal 3 binary64)

localize15.0ms (0.3%)

Memory
-3.9MiB live, 34.7MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y #s(literal 3 binary64))
accuracy0.2421875
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Samples
11.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 4.0ms (68% of total)
ival-mult: 2.0ms (34% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
-24.1MiB live, 18.4MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y #s(literal 3 binary64))) (patch (/.f64 x (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@0
((/ x (* y 3)) (* y 3))
1.0ms
x
@-inf
((/ x (* y 3)) (* y 3))
1.0ms
y
@0
((/ x (* y 3)) (* y 3))
1.0ms
y
@-inf
((/ x (* y 3)) (* y 3))
1.0ms
y
@inf
((/ x (* y 3)) (* y 3))

simplify4.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB 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))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
Outputs
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))

rewrite74.0ms (1.5%)

Memory
-3.8MiB live, 73.5MiB 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×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 (/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)))) (*.f64 #s(literal 3 binary64) y))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 #s(literal 3 binary64) y)))) (*.f64 #s(literal 9 binary64) (*.f64 y y)))
(*.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 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 (*.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal -1/2 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 (/.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 x #s(literal -1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 x y)))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 3 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/3 binary64) y))
(*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x) (/.f64 (*.f64 #s(literal 3 binary64) y) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) y)
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) y)) x)
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1/3 binary64) y)) (*.f64 x x))
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) (neg.f64 (*.f64 x x))) x)
(/.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 x x))
(/.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1/3 binary64) x) (neg.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) (*.f64 #s(literal -1/3 binary64) (/.f64 x y)))) (*.f64 #s(literal -1/3 binary64) (/.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 x y))))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 #s(literal 3 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (neg.f64 (*.f64 x x))) (*.f64 y x))
(/.f64 (*.f64 #s(literal -1/3 binary64) (neg.f64 (*.f64 (*.f64 x x) x))) (*.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 (*.f64 x x) x))) (*.f64 (neg.f64 y) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 #s(literal -3 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal -3 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 #s(literal -3 binary64) y) x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 x x)))
(/.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 y))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x (neg.f64 y)))
(/.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 binary64)) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1 binary64) y)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) y))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x x) #s(literal -3 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 3 binary64) y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -3 binary64) y)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) y) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 (neg.f64 x) y))) (*.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 x y))) (*.f64 (*.f64 #s(literal -3 binary64) y) #s(literal -3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x))) (*.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 #s(literal 3 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -3 binary64) y) x)) (*.f64 #s(literal 9 binary64) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -3 binary64) y) x)) (*.f64 #s(literal -3 binary64) y)) (*.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 (*.f64 #s(literal -3 binary64) y) x)))
(/.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (*.f64 x #s(literal -1/3 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 #s(literal -3 binary64) y) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -3 binary64) x))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 x x)))
(/.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)) #s(literal -1 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
(/.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) y) x))
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) x))
(/.f64 (neg.f64 x) (*.f64 #s(literal -3 binary64) y))
(/.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))
(/.f64 x (*.f64 #s(literal 3 binary64) y))
(neg.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 x y)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 0 binary64) (/.f64 x (*.f64 #s(literal 3 binary64) y)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 0 binary64)) (/.f64 x (*.f64 #s(literal 3 binary64) y)))
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 #s(literal 3 binary64) y)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -3 binary64) (neg.f64 y))
(*.f64 (neg.f64 y) #s(literal -3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))
(*.f64 (*.f64 #s(literal -3 binary64) y) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)))) (*.f64 #s(literal 3 binary64) y))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 #s(literal 3 binary64) y)))) (*.f64 #s(literal 9 binary64) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) y) #s(literal 3 binary64))) (*.f64 #s(literal 9 binary64) (*.f64 y y)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 #s(literal 3 binary64) y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)))) (*.f64 #s(literal 3 binary64) y))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 #s(literal 3 binary64) y)))) (*.f64 #s(literal 9 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y))) (*.f64 #s(literal -3 binary64) y))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 #s(literal 3 binary64) y))) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 #s(literal 3 binary64) y))) (neg.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y))))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 y) #s(literal -1/3 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 (*.f64 #s(literal -3 binary64) y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 y #s(literal 1/3 binary64))
(neg.f64 (*.f64 #s(literal -3 binary64) y))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -3 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -3 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal -3 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) y) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) y #s(literal 0 binary64))
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) y))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) y))
(+.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))

eval18.0ms (0.4%)

Memory
3.7MiB live, 42.1MiB allocated
Compiler

Compiled 1 791 to 362 computations (79.8% saved)

prune29.0ms (0.6%)

Memory
21.8MiB live, 62.6MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1838191
Fresh000
Picked011
Done000
Total1839192
Accuracy
100.0%
Counts
192 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.f64 (/.f64 x y) #s(literal 3 binary64))
▶99.5%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
99.4%
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x))
▶64.5%
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y))
▶99.6%
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
✓99.6%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
99.3%
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
99.5%
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
▶99.5%
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
Compiler

Compiled 137 to 99 computations (27.7% saved)

simplify118.0ms (2.3%)

Memory
-2.8MiB live, 149.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 3 binary64) x)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff1088
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
cost-diff0
(*.f64 x x)
cost-diff0
(neg.f64 (*.f64 x x))
cost-diff128
(*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64))
cost-diff640
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y))
cost-diff0
(*.f64 #s(literal 1/3 binary64) x)
cost-diff0
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
cost-diff0
(/.f64 #s(literal 1/3 binary64) y)
cost-diff0
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
cost-diff0
(/.f64 x y)
cost-diff384
(/.f64 (/.f64 x y) #s(literal 3 binary64))
Rules
8 248×lower-fma.f64
8 248×lower-fma.f32
3 480×lower-*.f32
3 470×lower-*.f64
2 514×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02079
03472
16271
213371
338271
4135871
5320371
6434871
7710171
0846371
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x y)
x
y
#s(literal 3 binary64)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(/.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
y
x
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
y
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y))
(*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64))
(neg.f64 (*.f64 x x))
(*.f64 x x)
x
#s(literal -1/3 binary64)
(*.f64 x y)
y
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
Outputs
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 x y)
x
y
#s(literal 3 binary64)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
y
x
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
y
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(neg.f64 (*.f64 x x))
(*.f64 (neg.f64 x) x)
(*.f64 x x)
x
#s(literal -1/3 binary64)
(*.f64 x y)
(*.f64 y x)
y
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x

localize54.0ms (1.1%)

Memory
2.9MiB live, 78.7MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal 3 binary64) x)
accuracy0
(/.f64 #s(literal 1 binary64) y)
accuracy0.33041000976844204
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
accuracy0
(*.f64 x x)
accuracy0
(neg.f64 (*.f64 x x))
accuracy0.18359375
(*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64))
accuracy22.26747671702966
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y))
accuracy0.1796875
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
accuracy0.3671875
(*.f64 #s(literal 1/3 binary64) x)
accuracy0.203125
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
accuracy0.34765625
(/.f64 #s(literal 1/3 binary64) y)
accuracy0
(/.f64 x y)
accuracy0.1875
(/.f64 (/.f64 x y) #s(literal 3 binary64))
Samples
42.0ms256×0valid
Compiler

Compiled 81 to 22 computations (72.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 12.0ms (42.4% of total)
ival-mult: 7.0ms (24.7% of total)
const: 7.0ms (24.7% of total)
ival-neg: 1.0ms (3.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.3%)

Memory
-18.3MiB live, 19.4MiB allocated
Counts
13 → 228
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/3 binary64) x) (patch (*.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (patch (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 3 binary64) x) (patch (/.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (neg.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 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (neg.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 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (neg.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 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (neg.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 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (neg.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 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (neg.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 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (neg.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 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (neg.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 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (/.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (neg.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 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (neg.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 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (neg.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 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (neg.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 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/3 binary64) x) (patch (*.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/3 binary64) x) (patch (*.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/3 binary64) x) (patch (*.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/3 binary64) x) (patch (*.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (neg.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 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (neg.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 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (neg.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 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (patch (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (patch (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (patch (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (patch (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.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 (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) x) (patch (/.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) x) (patch (/.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) x) (patch (/.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) x) (patch (/.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify11.0ms (0.2%)

Memory
15.5MiB live, 15.5MiB allocated
Algorithm
1×egg-herbie
Rules
34×lower-*.f64
34×lower-fma.f64
34×lower-fma.f32
34×lower-*.f32
32×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016960
125960
236960
340960
443960
550960
658960
769960
887960
996960
1097960
097960
Stop Event
1×iter limit
1×saturated
Counts
228 → 228
Calls
Call 1
Inputs
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 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)
(* 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 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 x)
(* 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 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 x)
(* 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 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
Outputs
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.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)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.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)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.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)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)

rewrite190.0ms (3.8%)

Memory
23.7MiB live, 257.3MiB allocated
Rules
4 026×lower-*.f32
4 016×lower-*.f64
3 278×lower-/.f32
3 262×lower-/.f64
1 830×lower--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02060
03453
111252
253052
3296252
0826652
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 2 182
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x y)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(/.f64 #s(literal 1/3 binary64) y)
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(*.f64 #s(literal 1/3 binary64) x)
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y))
(*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64))
(neg.f64 (*.f64 x x))
(*.f64 x x)
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 3 binary64) x)
Outputs
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal -3 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 (neg.f64 (*.f64 (*.f64 y x) #s(literal -3 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 (pow.f64 (/.f64 #s(literal -3 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (pow.f64 (/.f64 y (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 y x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) #s(literal -3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y x)) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 #s(literal -1/3 binary64) x)) (neg.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 #s(literal 1/3 binary64) x)) x)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (neg.f64 x)) (*.f64 #s(literal -1/3 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1/3 binary64)) (*.f64 x x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) x) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 (neg.f64 x) (/.f64 x y)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 #s(literal -1/3 binary64) x))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) x) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 y x)))
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 y x)))
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) x) x) (/.f64 x y))
(*.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1/3 binary64) (*.f64 y x)))
(*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y x)) x) (neg.f64 x))
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 y x)) x)
(*.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) x) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) x)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 y (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) y))
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (*.f64 (neg.f64 x) (/.f64 x y)))
(*.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (pow.f64 (/.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (/.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (/.f64 #s(literal -1/3 binary64) x))
(*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(*.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (*.f64 (neg.f64 x) y)))
(*.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y x)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y x)) (*.f64 (neg.f64 x) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (pow.f64 (/.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 y (/.f64 #s(literal 3 binary64) (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 x (*.f64 y x)))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/3 binary64) x))
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 (*.f64 y x) (*.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y x)) x))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/3 binary64) y))
(*.f64 (/.f64 (neg.f64 x) y) (pow.f64 (/.f64 x (*.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 #s(literal -1/3 binary64) x) x))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #s(literal 1 binary64))
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(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (neg.f64 x) y)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 y x) #s(literal -3 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 y x) #s(literal -3 binary64))))
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) y))
(/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x) x)
(/.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (neg.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y (/.f64 #s(literal 3 binary64) (*.f64 x x)))))
(/.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (neg.f64 y) (*.f64 x x)))
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (*.f64 x #s(literal -3 binary64)))
(/.f64 (*.f64 #s(literal -1/3 binary64) x) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 3 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 #s(literal 3 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
(/.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -3 binary64) x))
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) (*.f64 #s(literal -3 binary64) y))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -3 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) x) y))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3 binary64) x) y))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x))
(/.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x))))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal -3 binary64) y))))
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 y x) #s(literal -3 binary64)))
(/.f64 (*.f64 x x) (neg.f64 (*.f64 (*.f64 y x) #s(literal -3 binary64))))
(/.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x)))
(/.f64 (*.f64 x x) (*.f64 (neg.f64 x) (*.f64 #s(literal -3 binary64) y)))
(/.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 y) #s(literal 3 binary64))
(/.f64 x (*.f64 #s(literal 3 binary64) y))
(neg.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) x))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y x)) #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y x)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -3 binary64))) (/.f64 (/.f64 (*.f64 x x) y) (*.f64 x #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 y x)) #s(literal -3 binary64)) (/.f64 (/.f64 (*.f64 x x) (*.f64 y x)) #s(literal -3 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) y) #s(literal -3 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 y x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -3 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) y)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y x) #s(literal -3 binary64))) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 y x) #s(literal -3 binary64))) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal -3 binary64) y))) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) (*.f64 #s(literal -3 binary64) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) #s(literal -3 binary64))) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) y) x) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y x)) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) y)) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x))
(-.f64 (/.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x))
(exp.f64 (-.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) x)) (log.f64 y)))
(exp.f64 (-.f64 (neg.f64 (log.f64 y)) (neg.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) x)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) x)) (neg.f64 (log.f64 y))))
(exp.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 (*.f64 #s(literal 1/3 binary64) x))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal -1 binary64) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 3 binary64) x) y)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
(+.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y x)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) x))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 y #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) y)
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x #s(literal -3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (*.f64 x (/.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) x) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) x)
(*.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) x) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(*.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (pow.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 x (/.f64 #s(literal 3 binary64) (*.f64 x x)))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 x (*.f64 #s(literal 1/3 binary64) x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 x (*.f64 #s(literal -1/3 binary64) x))) x)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (*.f64 x #s(literal -3 binary64))) (*.f64 x x))
(/.f64 (/.f64 x (*.f64 #s(literal 1/3 binary64) x)) x)
(/.f64 (/.f64 x (*.f64 #s(literal -1/3 binary64) x)) (neg.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64))
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(/.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(/.f64 #s(literal -3 binary64) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) x))
(/.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 3 binary64) x)
(/.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(neg.f64 (/.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(neg.f64 (/.f64 #s(literal -3 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -3 binary64) x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) x))))

eval282.0ms (5.6%)

Memory
-7.5MiB live, 492.9MiB allocated
Compiler

Compiled 35 650 to 2 086 computations (94.1% saved)

prune113.0ms (2.2%)

Memory
13.9MiB live, 214.4MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New2 40732 410
Fresh123
Picked235
Done011
Total2 41092 419
Accuracy
100.0%
Counts
2 419 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(/.f64 (/.f64 x y) #s(literal 3 binary64))
▶99.7%
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
▶99.4%
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x))
▶64.5%
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x))
✓99.6%
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
✓99.6%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
▶99.5%
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
▶99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x)
✓99.5%
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
Compiler

Compiled 114 to 82 computations (28.1% saved)

simplify166.0ms (3.3%)

Memory
-1.4MiB live, 113.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 #s(literal 1/3 binary64) y)
cost-diff1088
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 y x)
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 y x))
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x)
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
cost-diff0
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
cost-diff384
(/.f64 x #s(literal 3 binary64))
Rules
6 754×lower-*.f32
6 742×lower-*.f64
2 604×cube-prod
2 146×lower-/.f32
2 130×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01981
03371
16171
211171
329871
470671
5216271
6232971
7240871
8254071
9270671
10292871
11470271
12538971
13643971
14687071
15707271
16720371
17727271
18733571
0835771
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
(*.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) (*.f64 #s(literal 3 binary64) y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
x
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x x)
x
#s(literal 1/3 binary64)
(*.f64 y x)
y
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
y
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
x
#s(literal 3 binary64)
y
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 x y)
x
y
#s(literal 1/3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x)
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))
(/.f64 #s(literal 1/3 binary64) y)
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
y
x
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x))
(*.f64 #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 y x)
y
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
y
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize78.0ms (1.5%)

Memory
-8.0MiB live, 73.2MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0.27181625976844204
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x))
accuracy0.34765625
(/.f64 #s(literal 1/3 binary64) y)
accuracy0
(*.f64 y x)
accuracy0
(*.f64 x x)
accuracy0.18359375
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
accuracy22.26747671702966
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x))
accuracy0
(*.f64 #s(literal 3 binary64) y)
accuracy0.203125
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x)
accuracy0.25390625
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))
accuracy0
(/.f64 x y)
accuracy0.30859375
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
accuracy0
(/.f64 x #s(literal 3 binary64))
accuracy0.1796875
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
Samples
40.0ms256×0valid
Compiler

Compiled 83 to 21 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 12.0ms (50.6% of total)
ival-mult: 8.0ms (33.7% of total)
const: 3.0ms (12.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.3%)

Memory
28.1MiB live, 28.1MiB allocated
Counts
14 → 252
Calls
Call 1
Inputs
#s(alt (/.f64 x #s(literal 3 binary64)) (patch (/.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x #s(literal 3 binary64)) y) (patch (/.f64 (/.f64 x #s(literal 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 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) #<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 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x #s(literal 3 binary64)) y) (patch (/.f64 (/.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x #s(literal 3 binary64)) y) (patch (/.f64 (/.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x #s(literal 3 binary64)) y) (patch (/.f64 (/.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x #s(literal 3 binary64)) y) (patch (/.f64 (/.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (/.f64 x #s(literal 3 binary64)) y) (patch (/.f64 (/.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (/.f64 x #s(literal 3 binary64)) y) (patch (/.f64 (/.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (/.f64 x #s(literal 3 binary64)) y) (patch (/.f64 (/.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (/.f64 x #s(literal 3 binary64)) y) (patch (/.f64 (/.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 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 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) #<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 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 inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 3 binary64)) (patch (/.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 3 binary64)) (patch (/.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 3 binary64)) (patch (/.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 3 binary64)) (patch (/.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x #s(literal 3 binary64)) y) (patch (/.f64 (/.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x #s(literal 3 binary64)) y) (patch (/.f64 (/.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x #s(literal 3 binary64)) y) (patch (/.f64 (/.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x #s(literal 3 binary64)) y) (patch (/.f64 (/.f64 x #s(literal 3 binary64)) y) #<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 (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x)) #<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 -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 -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify11.0ms (0.2%)

Memory
-24.1MiB live, 12.6MiB allocated
Algorithm
1×egg-herbie
Rules
30×lower-*.f64
30×lower-*.f32
12×*-commutative
8×lower-/.f32
8×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0151020
1241020
2271020
3281020
0281020
Stop Event
1×iter limit
1×saturated
Counts
252 → 252
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))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 x)
(* 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))
(/ 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 (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)
(* 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 x)
(/ 1 x)
(/ 1 x)
(/ 1 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))
(/ 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 (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)
(* 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 x)
(/ 1 x)
(/ 1 x)
(/ 1 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))
(/ 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 (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)
(* 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 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
Outputs
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 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 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 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 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x 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)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x 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)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x 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)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

rewrite935.0ms (18.5%)

Memory
-18.1MiB live, 272.2MiB allocated
Rules
3 830×lower-*.f32
3 818×lower-*.f64
2 922×lower-/.f32
2 906×lower-/.f64
1 422×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01964
03354
111354
252154
3353654
0844754
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 2 329
Calls
Call 1
Inputs
(/.f64 x #s(literal 3 binary64))
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x)
(*.f64 #s(literal 3 binary64) y)
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x x)
(*.f64 y x)
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1/3 binary64) y)
(/.f64 #s(literal 1 binary64) x)
Outputs
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (/.f64 x (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) #s(literal -1/3 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) x) #s(literal -1 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (/.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1/3 binary64) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 x (*.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/3 binary64) x) x))
(*.f64 (neg.f64 x) #s(literal -1/3 binary64))
(*.f64 (*.f64 #s(literal -1/3 binary64) x) (pow.f64 (/.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 (neg.f64 x) x))
(*.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 x (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (neg.f64 x) x) x))
(*.f64 #s(literal -1/3 binary64) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) x) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
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(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (neg.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64))))
(/.f64 x (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 x (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 x)))

eval604.0ms (12%)

Memory
45.7MiB live, 453.3MiB allocated
Compiler

Compiled 32 310 to 2 163 computations (93.3% saved)

prune230.0ms (4.5%)

Memory
-17.3MiB live, 244.3MiB allocated
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New2 57922 581
Fresh000
Picked145
Done044
Total2 580102 590
Accuracy
100.0%
Counts
2 590 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓99.7%
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
✓64.5%
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x))
✓99.6%
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
✓99.6%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
▶99.4%
(*.f64 (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) x)
✓99.5%
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
✓99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x)
✓99.5%
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
▶99.4%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))
Compiler

Compiled 82 to 58 computations (29.3% saved)

simplify179.0ms (3.5%)

Memory
1.1MiB live, 118.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) x)
cost-diff1024
(/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x))
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
7 828×lower-*.f32
7 820×lower-*.f64
3 156×cube-prod
2 142×lower-pow.f64
2 142×lower-pow.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01244
01944
13536
28032
323532
457732
5118432
6226432
7279532
8325132
9369832
10438332
11507632
12528132
13535832
14542532
15548432
16601732
17754732
0812432
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 y) (*.f64 #s(literal 3 binary64) x)) x)
(/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x))
(/.f64 x y)
x
y
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(*.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 y) (*.f64 #s(literal 3 binary64) x)) x)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1/3 binary64) y)
(/.f64 x y)
x
y
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)

localize57.0ms (1.1%)

Memory
21.5MiB live, 59.0MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x y)
accuracy0
(*.f64 #s(literal 3 binary64) x)
accuracy0.203125
(*.f64 (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) x)
accuracy13.857921060196215
(/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x))
accuracy0
(/.f64 #s(literal 1 binary64) y)
accuracy0.2265625
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
accuracy0.30859375
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))
Samples
24.0ms256×0valid
Compiler

Compiled 46 to 14 computations (69.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 6.0ms (40.1% of total)
ival-div: 5.0ms (33.4% of total)
const: 3.0ms (20.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
-19.1MiB live, 17.6MiB allocated
Counts
7 → 144
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 y) (*.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<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 (* 1/3 (/ x y)) (taylor 0 y) (#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 (* 1/3 (/ x y)) (taylor 0 y) (#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 (* 1/3 (/ x y)) (taylor 0 y) (#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 (* 1/3 (/ x y)) (taylor 0 y) (#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 (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) x) #<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 (/.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 (* 1/3 (/ x y)) (taylor inf y) (#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 (* 1/3 (/ x y)) (taylor inf y) (#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 (* 1/3 (/ x y)) (taylor inf y) (#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 (* 1/3 (/ x y)) (taylor inf y) (#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 (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) x) #<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 (/.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 (* 1/3 (/ x y)) (taylor -inf y) (#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 (* 1/3 (/ x y)) (taylor -inf y) (#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 (* 1/3 (/ x y)) (taylor -inf y) (#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 (* 1/3 (/ x y)) (taylor -inf y) (#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 (/ 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>) () ())) ())
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#s(alt (/ 1/3 y) (taylor 0 x) (#s(alt (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) (patch (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
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#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>) () ())) ())
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#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify7.0ms (0.1%)

Memory
13.3MiB live, 13.4MiB allocated
Algorithm
1×egg-herbie
Rules
16×lower-*.f64
16×lower-*.f32
8×*-commutative
8×lower-/.f32
8×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010528
116528
218528
319528
420528
020528
Stop Event
1×iter limit
1×saturated
Counts
144 → 144
Calls
Call 1
Inputs
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 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 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 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 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 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 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))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
Outputs
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/ x 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 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/ x 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 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/ x 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 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/ 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 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/ 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 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/ 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 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(* 1/3 (/ x y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)

rewrite116.0ms (2.3%)

Memory
14.3MiB live, 163.4MiB allocated
Rules
2 294×lower-*.f32
2 286×lower-*.f64
1 810×lower-/.f32
1 804×lower-/.f64
1 718×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01237
01929
15629
229625
3214125
4636925
0804625
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 539
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 y) (*.f64 #s(literal 3 binary64) x))
(*.f64 (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) x)
(/.f64 x y)
(*.f64 #s(literal 3 binary64) x)
Outputs
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) y)))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 x x))
(*.f64 (*.f64 (/.f64 x (neg.f64 y)) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(pow.f64 (/.f64 (*.f64 x y) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))))))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x y) (/.f64 x y)))) (/.f64 x y))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))) (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 x) y)) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (neg.f64 (*.f64 (/.f64 x y) (/.f64 x y))))) (*.f64 (neg.f64 y) (/.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (*.f64 (neg.f64 y) (neg.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))))) (*.f64 (neg.f64 y) (*.f64 (/.f64 x y) (/.f64 x y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y))) (/.f64 (neg.f64 y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (/.f64 x (neg.f64 y)))) (neg.f64 y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) y) (*.f64 (neg.f64 y) (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 x (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (neg.f64 (*.f64 (/.f64 x y) (/.f64 x y))))
(/.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) y))
(/.f64 (*.f64 x x) (*.f64 x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (/.f64 x (neg.f64 y)) x) (neg.f64 x))
(/.f64 (*.f64 (/.f64 x y) x) x)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 y (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(neg.f64 (/.f64 x (neg.f64 y)))
(fma.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) y)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 x y))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x y) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 x (neg.f64 y)) x) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x (neg.f64 y)))
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
(exp.f64 (log.f64 (/.f64 x y)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 x y))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(+.f64 (/.f64 x y) #s(literal 0 binary64))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) x) y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) x)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 x y) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) y)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) y)))
(*.f64 #s(literal -1/3 binary64) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) (*.f64 x x))
(*.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y))))
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))))))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x y) (/.f64 x y)))) (/.f64 x y))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))) (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 x) y)) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (neg.f64 (*.f64 (/.f64 x y) (/.f64 x y))))) (*.f64 (neg.f64 y) (/.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (*.f64 (neg.f64 y) (neg.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))))) (*.f64 (neg.f64 y) (*.f64 (/.f64 x y) (/.f64 x y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y))) (/.f64 (neg.f64 y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (/.f64 x (neg.f64 y)))) (neg.f64 y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) y) (*.f64 (neg.f64 y) (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 x (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (neg.f64 (*.f64 (/.f64 x y) (/.f64 x y))))
(/.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) y))
(/.f64 (*.f64 x x) (*.f64 x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (/.f64 x (neg.f64 y)) x) (neg.f64 x))
(/.f64 (*.f64 (/.f64 x y) x) x)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 y (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(neg.f64 (/.f64 x (neg.f64 y)))
(fma.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) y)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 x y))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x y) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 x (neg.f64 y)) x) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x (neg.f64 y)))
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
(exp.f64 (log.f64 (/.f64 x y)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 x y))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(+.f64 (/.f64 x y) #s(literal 0 binary64))
(*.f64 #s(literal -3 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal -3 binary64))
(*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))
(*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) x)))))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)))) (*.f64 #s(literal 3 binary64) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 x x) x)))) (*.f64 #s(literal 9 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x))) (*.f64 #s(literal -3 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x))))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 x) #s(literal -1/3 binary64))
(/.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x))
(/.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(neg.f64 (/.f64 (neg.f64 x) #s(literal 1/3 binary64)))
(neg.f64 (*.f64 #s(literal -3 binary64) x))
(fma.f64 #s(literal -3 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal -3 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(literal 1/3 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) x))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) x))
(+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 0 binary64))

eval112.0ms (2.2%)

Memory
-12.0MiB live, 154.0MiB allocated
Compiler

Compiled 7 414 to 1 081 computations (85.4% saved)

prune69.0ms (1.4%)

Memory
-10.9MiB live, 177.0MiB allocated
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New6821683
Fresh000
Picked112
Done088
Total68310693
Accuracy
100.0%
Counts
693 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(/.f64 (/.f64 x y) #s(literal 3 binary64))
✓99.7%
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
✓64.5%
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x))
✓99.6%
(/.f64 (*.f64 #s(literal 1/3 binary64) x) y)
✓99.6%
(/.f64 x (*.f64 y #s(literal 3 binary64)))
77.0%
(*.f64 (/.f64 x (*.f64 (*.f64 #s(literal 3 binary64) x) y)) x)
✓99.5%
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
✓99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x)
✓99.5%
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
✓99.4%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))
Compiler

Compiled 184 to 101 computations (45.1% saved)

regimes25.0ms (0.5%)

Memory
9.9MiB live, 51.2MiB allocated
Counts
15 → 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 #s(literal 1/3 binary64) x) y)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x)
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(*.f64 (/.f64 x (*.f64 (*.f64 #s(literal 3 binary64) x) y)) x)
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 y x))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x y))
(*.f64 (/.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) x)) x)
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
Outputs
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
Calls

4 calls:

5.0ms
x
5.0ms
(*.f64 y #s(literal 3 binary64))
5.0ms
y
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)

regimes14.0ms (0.3%)

Memory
2.3MiB live, 39.1MiB allocated
Counts
7 → 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 #s(literal 1/3 binary64) x) y)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x)
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
Outputs
(/.f64 x (*.f64 y #s(literal 3 binary64)))
Calls

4 calls:

5.0ms
y
3.0ms
(*.f64 y #s(literal 3 binary64))
3.0ms
x
3.0ms
(/.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)

regimes6.0ms (0.1%)

Memory
20.1MiB live, 20.0MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
Outputs
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
Calls

4 calls:

2.0ms
(*.f64 y #s(literal 3 binary64))
1.0ms
y
1.0ms
x
1.0ms
(/.f64 x (*.f64 y #s(literal 3 binary64)))
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)

regimes7.0ms (0.1%)

Memory
-20.4MiB live, 17.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

3.0ms
(/.f64 x (*.f64 y #s(literal 3 binary64)))
1.0ms
(*.f64 y #s(literal 3 binary64))
1.0ms
y
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 (0.1%)

Memory
17.3MiB live, 17.3MiB allocated
Algorithm
1×egg-herbie
Rules
6×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01220
11520
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
Outputs
(/.f64 (/.f64 x #s(literal 3 binary64)) y)
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)

soundness259.0ms (5.1%)

Memory
-42.0MiB live, 224.6MiB allocated
Rules
4 026×lower-*.f32
4 016×lower-*.f64
3 278×lower-/.f32
3 262×lower-/.f64
1 830×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1188
2798
33918
023158
02060
03453
111252
253052
3296252
0826652
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 70 to 44 computations (37.1% saved)

preprocess450.0ms (8.9%)

Memory
7.3MiB live, 83.3MiB allocated
Remove

(negabs x)

(negabs y)

Compiler

Compiled 156 to 104 computations (33.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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