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

Time bar (total: 1.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze10.0ms (0.7%)

Memory
15.4MiB live, 15.4MiB 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)

sample829.0ms (54.9%)

Memory
-8.7MiB live, 902.0MiB allocated
Samples
460.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 160.0ms
ival-div: 73.0ms (45.6% of total)
ival-mult: 73.0ms (45.6% of total)
ival-true: 6.0ms (3.7% of total)
exact: 5.0ms (3.1% of total)
ival-assert: 3.0ms (1.9% of total)
Bogosity

explain47.0ms (3.1%)

Memory
31.0MiB live, 69.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.f64 x (*.f64 y #s(literal 2 binary64)))
00-0-y
00-0-#s(literal 2 binary64)
00-0-x
00-0-(*.f64 y #s(literal 2 binary64))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 x (*.f64 y #s(literal 2 binary64)))n/o10
↳(*.f64 y #s(literal 2 binary64))overflow1
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
20.0ms512×0valid
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 (48.1% of total)
ival-mult: 3.0ms (36% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess59.0ms (3.9%)

Memory
-29.5MiB live, 17.7MiB allocated
Algorithm
1×egg-herbie
Rules
257×times-frac
157×associate-*l*
152×associate-*r*
122×associate-/r*
77×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 2 binary64)))
Outputs
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
Symmetry

(negabs y)

(negabs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.2%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 2 binary64))
cost-diff0
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Rules
5×lower-/.f32
4×lower-/.f64
2×lower-*.f32
2×associate-/r*
1×*-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 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
Outputs
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
x
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
y
#s(literal 2 binary64)

localize21.0ms (1.4%)

Memory
-6.8MiB live, 29.6MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y #s(literal 2 binary64))
accuracy0.2385985489757712
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Samples
10.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (49.8% of total)
ival-mult: 2.0ms (49.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.4%)

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

9 calls:

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

simplify4.0ms (0.2%)

Memory
6.1MiB live, 6.1MiB allocated
Algorithm
1×egg-herbie
Rules
8×lower-*.f64
8×lower-*.f32
4×*-commutative
3×lower-/.f32
3×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
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
Outputs
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)

rewrite83.0ms (5.5%)

Memory
7.3MiB live, 78.7MiB allocated
Rules
530×lower-*.f32
529×lower-*.f64
471×frac-2neg
449×lower-/.f32
448×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
0710
11810
27910
338910
4230310
078
1188
2798
33898
023038
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 2 binary64)))
(*.f64 y #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (*.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)))) (*.f64 #s(literal 4 binary64) (*.f64 y y)))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 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 1/2 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal -2 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 -1/2 binary64) y))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 #s(literal -2 binary64) y)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) y)
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) y)) x)
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 x x))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 x x))
(/.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) (/.f64 x (*.f64 #s(literal -2 binary64) y)))) (/.f64 x (*.f64 #s(literal -2 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) (/.f64 x (*.f64 #s(literal -2 binary64) y)) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 #s(literal -2 binary64) y))))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 x x))) (*.f64 y x))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 y (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 x x))) (*.f64 (neg.f64 y) x))
(/.f64 (*.f64 #s(literal 1/2 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 -2 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 #s(literal -2 binary64) y) x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x x)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) y)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1 binary64) y)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 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 -2 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -2 binary64) y)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 #s(literal -2 binary64) y) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 (neg.f64 x) y))) (*.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x y))) (*.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (neg.f64 x))) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -2 binary64) x) y)) (*.f64 #s(literal -2 binary64) y)) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 (/.f64 #s(literal -2 binary64) x) y)))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 #s(literal -2 binary64) y) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -2 binary64) x))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x x)))
(/.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) x) y))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) x))
(/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y))
(/.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(neg.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 #s(literal -2 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64)) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (neg.f64 y))
(*.f64 (neg.f64 y) #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(*.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)))) (*.f64 #s(literal 4 binary64) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 y y)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)))) (*.f64 #s(literal 4 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y))) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y))))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 y) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 y #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal -2 binary64) y))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) y))
(+.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 0 binary64))

eval41.0ms (2.7%)

Memory
11.0MiB live, 57.1MiB allocated
Compiler

Compiled 1 791 to 361 computations (79.8% saved)

prune63.0ms (4.2%)

Memory
9.2MiB live, 83.6MiB allocated
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1901191
Fresh000
Picked101
Done000
Total1911192
Accuracy
100.0%
Counts
192 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify6.0ms (0.4%)

Memory
-28.7MiB live, 9.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
Rules
6×lower-*.f32
5×lower-*.f64
3×*-commutative
3×lower-/.f32
2×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
11011
21311
31411
01411
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
y

localize18.0ms (1.2%)

Memory
-8.4MiB live, 36.2MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
accuracy0
(*.f64 #s(literal 1/2 binary64) x)
Samples
13.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (51.2% of total)
ival-mult: 2.0ms (51.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(* 1/2 x)
0.0ms
x
@-inf
(* 1/2 x)
0.0ms
x
@0
(* 1/2 x)
0.0ms
x
@0
(/ (* 1/2 x) y)
0.0ms
x
@inf
(/ (* 1/2 x) y)

simplify4.0ms (0.3%)

Memory
12.3MiB live, 12.3MiB allocated
Algorithm
1×egg-herbie
Rules
6×lower-*.f64
6×lower-*.f32
3×*-commutative
3×lower-/.f32
3×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06156
19156
211156
312156
012156
Stop Event
1×iter limit
1×saturated
Counts
36 → 36
Calls
Call 1
Inputs
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
Outputs
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))

rewrite72.0ms (4.8%)

Memory
9.0MiB live, 85.0MiB allocated
Rules
492×lower-*.f32
491×lower-*.f64
404×frac-2neg
389×lower-/.f32
388×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
0710
11810
27210
334710
4207610
078
1188
2728
33478
020768
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
2 → 123
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
Outputs
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 (*.f64 y y))) y)
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 (*.f64 (*.f64 y y) y))) (*.f64 y y))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) y)) (neg.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (neg.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal -1/2 binary64))
(*.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 2 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -2 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 1/2 binary64) y))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 x))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (*.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) y)) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)))))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 y (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 (neg.f64 y) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (neg.f64 y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) y))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -2 binary64) x) y)) (neg.f64 y)) (*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -2 binary64) x) y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (neg.f64 y) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -2 binary64) x))
(/.f64 (neg.f64 x) (*.f64 y #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) x) y))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) x))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))

eval17.0ms (1.1%)

Memory
1.3MiB live, 37.8MiB allocated
Compiler

Compiled 1 466 to 275 computations (81.2% saved)

prune30.0ms (2%)

Memory
-22.1MiB live, 36.3MiB allocated
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1590159
Fresh000
Picked011
Done000
Total1591160
Accuracy
100.0%
Counts
160 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.4%)

Memory
9.9MiB live, 9.9MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
Calls

4 calls:

1.0ms
(*.f64 y #s(literal 2 binary64))
1.0ms
x
1.0ms
y
1.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
100.0%1(*.f64 y #s(literal 2 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.4%)

Memory
-26.7MiB live, 12.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Outputs
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Calls

4 calls:

2.0ms
x
1.0ms
(*.f64 y #s(literal 2 binary64))
1.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
1.0ms
y
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
99.6%1(*.f64 y #s(literal 2 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify6.0ms (0.4%)

Memory
9.3MiB live, 9.3MiB allocated
Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11010
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))

soundness122.0ms (8.1%)

Memory
-3.0MiB live, 34.6MiB allocated
Rules
530×lower-*.f32
529×lower-*.f64
471×frac-2neg
449×lower-/.f32
448×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
0710
11810
27910
338910
4230310
078
1188
2798
33898
023038
Stop Event
1×done
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess54.0ms (3.5%)

Memory
5.1MiB live, 79.2MiB allocated
Remove

(negabs x)

(negabs y)

Compiler

Compiled 122 to 86 computations (29.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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