Numeric.Interval.Internal:scale from intervals-0.7.1, B

Time bar (total: 3.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample2.4s (63.2%)

Memory
29.5MiB live, 741.7MiB allocated
Samples
2.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-div: 1.0s (92% of total)
ival-mult: 72.0ms (6.6% of total)
ival-true: 6.0ms (0.6% of total)
exact: 5.0ms (0.5% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain56.0ms (1.5%)

Memory
-14.8MiB live, 110.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-#s(literal 2 binary64)
00-0-(/.f64 (*.f64 x y) #s(literal 2 binary64))
00-0-(*.f64 x y)
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
23.0ms512×0valid
Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 5.0ms (48.4% of total)
ival-mult: 4.0ms (38.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess22.0ms (0.6%)

Memory
1.0MiB live, 40.0MiB allocated
Algorithm
1×egg-herbie
Rules
44×distribute-lft-neg-in
28×distribute-rgt-neg-in
27×associate-*l*
21×associate-*r*
20×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01330
13927
29525
321225
436525
541025
055
075
1105
2135
3145
0145
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 (/.f64 x #s(literal 2 binary64)) y)
Symmetry

(negabs y)

(negabs x)

(sort x y)

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
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (*.f64 x y) #s(literal 2 binary64))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) #s(literal 2 binary64))
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 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
Outputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 (/.f64 x #s(literal 2 binary64)) y)
(*.f64 x y)
(*.f64 y x)
x
y
#s(literal 2 binary64)

localize28.0ms (0.7%)

Memory
-12.7MiB live, 25.4MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy0
(*.f64 x y)
Samples
22.0ms256×0valid
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 (49.4% of total)
ival-mult: 2.0ms (49.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
2 → 48
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@0
(/ (* x y) 2)
1.0ms
x
@0
(/ (* x y) 2)
1.0ms
x
@inf
(/ (* x y) 2)
0.0ms
y
@inf
(/ (* x y) 2)
0.0ms
y
@-inf
(/ (* x y) 2)

simplify3.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated
Algorithm
1×egg-herbie
Rules
12×lower-*.f64
12×lower-*.f32
5×*-commutative
3×associate-*r*
3×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05192
19192
216192
318192
018192
Stop Event
1×iter limit
1×saturated
Counts
48 → 48
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))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite356.0ms (9.5%)

Memory
-177.9MiB live, 203.1MiB allocated
Rules
1 917×lower-fma.f64
1 917×lower-fma.f32
1 726×lower-*.f32
1 725×lower-*.f64
1 216×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1208
2638
32438
412188
082168
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
2 → 901
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 y y) y)) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (*.f64 (*.f64 y x) y) x)))) (*.f64 (*.f64 (*.f64 y x) y) (neg.f64 x)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 y y) y)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (*.f64 (*.f64 y x) y) x))) (*.f64 (*.f64 (*.f64 y x) y) x))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 y y) y)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)))) (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (*.f64 (*.f64 y x) y) x)))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 y x) y) x)) (*.f64 y x))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 (*.f64 y x) y) x))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 y x) y) (neg.f64 x))) (*.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 y y) y))) (*.f64 (*.f64 (*.f64 y x) y) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 y x)) (/.f64 #s(literal -2 binary64) (*.f64 y x))))) (/.f64 #s(literal 2 binary64) (*.f64 y x)))
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 y x)) (/.f64 #s(literal -2 binary64) (*.f64 y x))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
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(fma.f64 x y #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))
(-.f64 (*.f64 y x) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (*.f64 y x) #s(literal 0 binary64))

eval234.0ms (6.2%)

Memory
31.4MiB live, 182.5MiB allocated
Compiler

Compiled 16 805 to 1 963 computations (88.3% saved)

prune374.0ms (10%)

Memory
-28.6MiB live, 332.0MiB allocated
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New9481949
Fresh000
Picked101
Done000
Total9491950
Accuracy
100.0%
Counts
950 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (*.f64 y x) #s(literal 1/2 binary64))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
11111
21811
32011
02011
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 y x) #s(literal 1/2 binary64))
(*.f64 y x)
y
x
#s(literal 1/2 binary64)
Outputs
(*.f64 (*.f64 y x) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 1/2 binary64)

localize60.0ms (1.6%)

Memory
-8.3MiB live, 29.4MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 (*.f64 y x) #s(literal 1/2 binary64))
accuracy0
(*.f64 y x)
Samples
55.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (82.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Counts
2 → 48
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #<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 (* 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 (* 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 (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 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 (* 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 (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
Calls

12 calls:

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

simplify4.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated
Algorithm
1×egg-herbie
Rules
12×lower-*.f64
12×lower-*.f32
5×*-commutative
3×associate-*r*
3×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05192
19192
216192
318192
018192
Stop Event
1×iter limit
1×saturated
Counts
48 → 48
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))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* 1/2 (* x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite8.0ms (0.2%)

Memory
11.6MiB live, 11.6MiB allocated
Rules
12×lower-*.f32
10×lower-*.f64
5×*-commutative
3×associate-*r*
3×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1118
2188
3208
0208
Stop Event
1×iter limit
1×saturated
1×iter limit
Counts
2 → 8
Calls
Call 1
Inputs
(*.f64 (*.f64 y x) #s(literal 1/2 binary64))
(*.f64 y x)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 (*.f64 x y) #s(literal 1/2 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x y)
(*.f64 y x)

eval5.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated
Compiler

Compiled 330 to 16 computations (95.2% saved)

prune17.0ms (0.5%)

Memory
-25.4MiB live, 11.9MiB allocated
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New56056
Fresh000
Picked011
Done000
Total56157
Accuracy
100.0%
Counts
57 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 (*.f64 y x) #s(literal 1/2 binary64))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.2%)

Memory
16.8MiB live, 16.8MiB allocated
Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

2.0ms
y
2.0ms
(/.f64 (*.f64 x y) #s(literal 2 binary64))
1.0ms
x
1.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (*.f64 x y) #s(literal 2 binary64))
100.0%1(*.f64 x y)
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify5.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
175
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 y x) #s(literal 1/2 binary64))
Outputs
(*.f64 (*.f64 y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))

soundness150.0ms (4%)

Memory
-39.1MiB live, 82.4MiB allocated
Rules
1 917×lower-fma.f64
1 917×lower-fma.f32
1 726×lower-*.f32
1 725×lower-*.f64
1 216×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1208
2638
32438
412188
082168
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 19 to 13 computations (31.6% saved)

preprocess38.0ms (1%)

Memory
18.9MiB live, 57.3MiB allocated
Remove

(sort x y)

(negabs x)

(negabs y)

Compiler

Compiled 112 to 80 computations (28.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...